This is a rhombus I have the like terms combined but I can’t get the answer for the value of X

This Is A Rhombus I Have The Like Terms Combined But I Cant Get The Answer For The Value Of X

Answers

Answer 1

From the given rhombus, it is seen that

AB=5x+25

CD=7x-1

It is known that the lengths of all sides of a rhombus are equal.

Therefore, it is obvious that

AB=CD

It follows that

\(\begin{gathered} 5x+25=7x-1 \\ 7x-5x=25+1 \\ 2x=26 \\ x=13 \end{gathered}\)

Hence, the value of x is 13


Related Questions

Find m2ABC.
Ad
37°
21°
B
m/ABC =
C

Find m2ABC.Ad3721Bm/ABC =C

Answers

Answer:

it might be 58 , just look it up I don't really know

\(\bold{ANSWER:}\)
58

\(\bold{EXPLANATIONS:}\)
Find m2ABC.Ad3721Bm/ABC =C

please help will mark Brainliest!!​.​

please help will mark Brainliest!!.

Answers

It is in the shape of a square.

Answer:

A square

Step-by-step explanation:

Its hard to mark the coordinates but its likely for it to be a square

In a lottery game, a machine has 48 balls marked with numbers from 1-48 and six of them are taken out at random. A player picks six of these numbers, trying to match the six balls that come out of the machine in any order. If exactly 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize? Give answer as a fraction or decimal rounded to 4 significant digits in either standard or scientific notation. Hint: there is more than one way to win, take into consideration all the ways to pick the 4 winning numbers and the 2 losing numbers.

Answers

Answer:

7.5

Step-by-step explanation:

5.6+45,693u+ 2a+ = 7.5

Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the rooftop thinking about the depression angle needed to reach each car. If the depression angle to the nearest car is 52 degrees, and the depression angle to the farther car is 46 degrees, how far apart must the two cars be from each other?

Make a sketch, solve the problem, and round your answer to the nearest hundredth of a foot.

Answers

The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.

To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.

In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:

tan(52) = 600 / d1

Rearranging the equation to solve for d1:

d1 = 600 / tan(52)

Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:

tan(46) = 600 / d2

Rearranging the equation to solve for d2:

d2 = 600 / tan(46)

Using a calculator, we can compute:

d1 ≈ 504.61 feet

d2 ≈ 681.95 feet

The distance between the two cars is the difference between d2 and d1:

Distance = d2 - d1

Plugging in the values, we have:

Distance ≈ 681.95 - 504.61

Distance ≈ 177.34 feet

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please answer this need help badly

please answer this need help badly

Answers

Answer:

A, B, D, E

Step-by-step explanation:

148^0 = 1 (Zero property of exponents)

9^(-2) = 1/9^2 = 1/81

-5^2 = -5*5 = -25

-10^(-2) = -1/10^2 = -1/100

The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and a standard deviation of 3.2 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway.
A button hyperlink to the SALT program that reads: Use SALT.
(a) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)


(b) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)


(c) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)

Answers

The probabilities regarding the total time of the 34 jets are given as follows:

a) Less than 320 minutes: 0.9306 = 93.06%.

b) More than 275 minutes: 0.8238 = 82.38%.

c) Between 275 and 320 minutes: 0.7544 = 75.44%.

How to obtain probabilities using the normal distribution?

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, for a total of n observations, the mean is of \(n\mu\), while the standard deviation is of \(\sigma\sqrt{n}\)

The mean and the standard deviation for the total time of the 34 jets is given as follows:

\(\mu = 8.6 \times 34 = 292.4\)\(\sigma = 3.2\sqrt{34} = 18.66\)

The probability that the mean is less than 320 minutes is the p-value of Z when X = 320, hence:

Z = (320 - 292.4)/18.66

Z = 1.48

Z = 1.48 has a p-value of 0.9306.

The probability that the mean is more than 275 minutes is one subtracted by the p-value of Z when X = 275, hence:

Z = (275 - 292.4)/18.66

Z = -0.93

Z = -0.93 has a p-value of 0.1762.

1 - 0.1762 = 0.8238.

The probability of a value between these two amounts is given as follows:

0.9306 - 0.1762 = 0.7544.

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The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and a
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and a

In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Paul has scored 82 , 88 , and 87 on the first three. What range of scores on the fourth test will give Paul a C for the semester (an average between 70 and 79 , inclusive)? Assume that all test scores have a non-negative value.

Answers

Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).

The sum of the scores on the first three, hundred point tests

= 82 + 88 + 87 = 257.

The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.

The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.

Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.

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how many pattern blocks rhombuses would 4 triangles create

Answers

Four triangles can create a set of pattern blocks that includes a total of four rhombuses.

To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.

To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.

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A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
A. 3, 13, 23
B. 10, 30, 90
C. 10, 13, 16
D. 3, 30, 300

A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.What

Answers

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

What is the volume of rectangular
L 6 1/2
W 2
H 3 1/4

Answers

Answer:

42.25

Step-by-step explanation:

You multiply 6.5 by 2 by 3.25 to get the answer

Answer:

42.5 units^3

Step-by-step explanation:

VOLUME EQUATION: l x w x h

6.5 x 2 x 3.25

42.5

DON'T FORGET YOUR UNITS CUBES

Please help ASAP im very confused

Jean bought a $1,980 snow thrower on an installment plan. The installment plan agreement included a 10% down payment and 18 monthly payments of $116 each.
How much is the down payment?



What is the total amount of the monthly payments?



How much did Jean pay for the snow thrower on the installment plan?



What is the total finance charge?

Answers

Answer:

198, 2088, 2286, 306

Step-by-step explanation:

i think those should be right in order of questioning, i got a bit confused by the way it was presented

need help on this pls.

need help on this pls.

Answers

9514 1404 393

Answer:

  ∠G ≅ ∠U

Step-by-step explanation:

G is the 3rd letter in the triangle name on the left side of the congruence statement.

U is the 3rd letter in the triangle name on the right side of the congruence statement.

  ∠G ≅ ∠U

_____

Corresponding parts are listed in the same order in congruence and similarity statements.

i need help with number 5

i need help with number 5

Answers

B : 3x-5

You can find this by solving the first equation for y, you do this by adding y and subtracting 5.

Hope this helps!!

si ABCD son los vertices de un cuadrado y A(2,2) y C (10,8) 2 vertices opuestos. Hallar los otros dos vertices, dar como respuesta la mayor de las ordenadas

Answers

The area of the square is given as 100 square unit

How to determine the area of square?

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

si ABCD son los vertices de un cuadrado y A(2,2) y C (10,8) 2 vertices opuestos. Hallar los otros dos

Problem 2 (4 points) The Better Business Bureau conducts a survey of
30 people who recently hired an attorney. 17 of them say that they would
recommend their attorney to a friend. 8 say that they would not recommend
their attorney to a friend. And the remaining 5 say that they are not sure.
Three people are selected from this group of 30 people at random (This means
drawing every person with equal probability, but without replacement - the
same person cannot get drawn twice).
What is the probability that
a) All three would recommend their attorney to a friend?
b) The first would not, but the second and third would recommend their
attorney to a friend?

Answers

The probability that all three would recommend their attorney to a friend is 18.19%, and the probability that the first would not, but the second and third would recommend their attorney to a friend is 8.56%.

Probabilities

Since the Better Business Bureau conducts a survey of 30 people who recently hired an attorney, and 17 of them say that they would recommend their attorney to a friend, while 8 say that they would not recommend their attorney to a friend, and the remaining 5 say that they are not sure, and then three people are selected from this group of 30 people at random, to determine what is the probability that A) all three would recommend their attorney to a friend, and B) the first would not, but the second and third would recommend their attorney to a friend, the following calculation must be performed:

A)

17/30 x 17/30 x 17/30 = X0.5666 x 0.5666 x 0.5666 = X0.1819 = X

B)

8/30 x 17/30 x 17/30 = X0.2666 x 0.5666 x 0.5666 = X0.0856 = X

Therefore, the probability that all three would recommend their attorney to a friend is 18.19%, and the probability that the first would not, but the second and third would recommend their attorney to a friend is 8.56%.

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Probabilities are used to determine the chances of events

The probability that all would recommend their attorney to a friend is 0.1675The probability the first would not, but the second and third would recommend their attorney to a friend is 0.0893

The given parameters are:

n = 30 -- the sample size

Recommend = 17

Not recommend = 8

Not sure = 5

The probability that all would recommend their attorney to a friend is calculated as:

\(p = \frac{17}{30} * \frac{16}{29} * \frac{15}{28}\)

Evaluate the product

\(p = 0.1675\)

The probability the first would not, but the second and third would recommend their attorney to a friend is calculated as:

\(p = \frac{8}{30} * \frac{17}{29} * \frac{16}{28}\)

\(p = 0.0893\)

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Select the value for x that is a counter-example to the following statement: For every integer x,x

Answers

A proof by exhaustion of the theorem must prove that for every positive integer x less than 4, (x +1)^3 is greater than or equal to 4^x.

To prove the theorem by exhaustion, we must prove that for all positive integers x less than 4, (x + 1)^3 is greater than or equal to 4^x.

First, we start with x = 0. We must show that (0 + 1)^3 is greater than or equal to 4^0. We can calculate that (1)^3 = 1, which is greater than 4^0 = 1.

Next, we move to x = 1. We must show that (1 + 1)^3 is greater than or equal to 4^1. We can calculate that (2)^3 = 8, which is greater than 4^1 = 4.

Next, we move to x = 2. We must show that (2 + 1)^3 is greater than or equal to 4^2. We can calculate that (3)^3 = 27, which is greater than 4^2 = 16.

Finally, we move to x = 3. We must show that (3 + 1)^3 is greater than or equal to 4^3. We can calculate that (4)^3 = 64, which is greater than 4^3 = 64.

The complete question: Select the value for x that is a counter-example to the following statement: For every integer , < ^2 . a. x = 1/2 b. x = -1/2 c. x = -1 d. x = 1 6. Theorem: If x is a positive integer less than 4, then ( + 1) ^3 ≥ 4^ . Which set of facts must be proven in a proof by exhaustion of the theorem? a. 1^3 ≥ 4^0 2^3 ≥ 4^1 3^3 ≥ 4^2 4^3 ≥ 4^3 b. 2^3 ≥ 4^1 3^3 ≥ 4^2 4^3 ≥ 4^3 c. 2^3 ≥ 4^1 3^3 ≥ 4^2 4^3 ≥ 4^3 5^3 ≥ 4^4 d. 3^3 ≥ 4^2 4^3 ≥ 4^3

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Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Answers

Answer: 258 \(yard^{2}\)

Step-by-step explanation: To find the surface area you add the area of all the sides. And the unit for a surface area is unit (yards) squared.

Front: 5 • 9 = 45

Back: 5 • 9 = 45

Left: 6 • 5 = 30

Right: 6 • 5 = 30

Top: 9 • 6 = 54

Bottom: 9 • 6 = 54

45 + 45 + 30 + 30 + 54 + 54 = 258.

ANSWER THIS PLEASE FAST!! I NEED TO TUNR IT IN, IN LIKE 10 MINUTES!! Alexander earns the same amount of money each month. Alexander's loan payment is 2/25 of his monthly income. Alexander pays a total of $1,680 per year in loan payments.
What is Alexander's monthly income?

Enter your answer in the box.

Answers

Answer: Alexander's monthly income is $1,750.

Step-by-step explanation:

Working backwards is the easiest solve method for problems like this:

$1,680/12=$140 per month

$140=2/25 monthly income

Monthly income = ($140)25/2 = $1750

Help 100 plus brainiest

Help 100 plus brainiest

Answers

Answer:B.The constant of proportionality is 3. In the table the constant of proportionality is represented by the y-value when the x-value is 1. On a graph, the constant of proportionality represents the steepness of the line.

This is the answer because all of the Y's can be divided by X and equal three.

3 divided by 1 is 3, 15 divided by 5 is 3, 24 divided by 8 is 3, and 27 divided by 9 is 3.

This means that there is a constant rate, which is the proportionality,3.  This is also represented by our first X and Y value. X is 1 and Y is 3, which means that the word length increases by 3.

I hope this helped & Good Luck <3!!!!

Answer:

Correct answer is B.

Step-by-step explanation:

So this table represents a set of values related by a constant of proportionality. This constant is just the value of the slope created when the values from the "x" and "y" axis are plotted into a two-dimensional graph.

1. Choose 2 random ordered pairs (OP) from the table.

Notation: (x, y)

OP 1: (1, 3)

OP 2: (5, 15)

2. Calculate the slope.

Slope formula: \(m=\frac{y_{2} -y_{1}}{x_{2} -x_{1} }\)

Substituting in the formula and calculating:

\(m=\frac{(15) -(3)}{(5) -(1)}\\ \\m=\frac{12}{4} \\ \\m=3\)

3. Choose the correct answer.

This value for the slope, or contant of proportionality, is enough to determine the correct answer. Correct answer is answer B.

4. Analyze.

This constant represent the relation between the word length (x) and the score (y) is 3. Therefore, each time a word length increases one time, the score increases 3 times as much.

5. Graph of the function.

Chech the attached image.

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in isosceles triangle XYZ, angle X=117°. calculate angleZ​

Answers

Answer:

31.5

Step-by-step explanation:

Angle Z+ Angle X+ Angle Y=180

As the triangle is isosceles, Z=X, hence Z=63/2=31.5

Is (1,2) (1,3) (1,4) a function?

Answers

Answer:

yes

Step-by-step explanation:

No, because the domain starts in 1 for all of the numbers.

Where is the point of concurrency of the angle bisectors of a triangle on the triangle outside the triangle inside the triangle?; What is the point of concurrency of the angle bisectors of triangle QRS?; What is the point of concurrence of the bisectors of the angles of a triangle known as?; Which point of concurrency is the balance point of a triangle?

Answers

Inside the triangle is the point of concurrency of the angle bisectors of a triangle.

What is Point of Concurrency ?

A point of concurrency is an intersection of three or more lines, rays, segments, or planes, but at least three. If they coincide, then those lines or the rays are regarded as contemporaneous. You create the line segments disregarding the vertices since they must be perpendicular to the midpoint of each side. The circumcenter may be located inside or outside of the triangle as a result. The two concurrent locations that can achieve that are the circumcenter and orthocenter.

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What is the slope of the line?

What is the slope of the line?

Answers

Answer:

-3/4

Step-by-step explanation:

1. (10 points) Let f(x) = −cos(x). Compute ˆφ = c0π0 + c1π1 where π0 = 1 and π1 = x.

Compute the discrete approximation using

• x0 = π /2 and x1 = (3π)/4 .

• f( π/2 ) = 0 and f( (3π)/4 ) = √ 1 2 .

You may use the XT X|XT Y method or A⃗c = ⃗b method.





2. (10 points) Let f(x) = x 5 . Compute ˆφ = c0π0 + c1π1 for the domain 0 ≤ x ≤ 1. Let π0 = x and π1 = x 2 . • Compute the continuous approximation. • Do not round.



3. (10 points) Suppose you have just finished approximating f(x) = x 3 for 0 ≤ x ≤ α and ended up with φˆ(α, x) = 1 2 α 2x. (a) (8 points) Evaluate E2 (α, x) = ||f − φˆ||2 . (b) (2 points) After you have evaluated ||f − φˆ||2 for α, plug in α = 1 and simplify.



4. (10 points) Reconcile the XT X|XT Y and A| ⃗b methods for the discrete case. More specifically, show that the two are equivalent for n polynomial basis functions (π0, π1, . . . πn−1) and k points.



Topics Covered:

Least square Approximation
Reconcile the XTX|XTY and Ab Methods

Answers

4.While not rounding the answer is 500°

Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces.

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces? Round your answer to 4 decimal places.

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces? Round your answer to 4 decimal places.

Answers

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.0 ounces and a standard deviation of 1.1 ounces.

This means that \(\mu = 8, \sigma = 1.1\)

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?

\(n = 5\) means that \(s = \frac{1.1}{\sqrt{5}} = 0.4919\)

This probability is the pvalue of Z when X = 9.3. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{9.3 - 8}{0.4919}\)

\(Z = 2.64\)

\(Z = 2.64\) has a pvalue of 0.9959

0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?

\(n = 6\) means that \(s = \frac{1.1}{\sqrt{6}} = 0.4491\)

This probability is 1 subtracted by the pvalue of Z when X = 9. So

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{9 - 8}{0.4491}\)

\(Z = 2.23\)

\(Z = 2.23\) has a pvalue of 0.9871

1 - 0.9871 = 0.0129

0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.

Answers

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Someone can help me please #10

Someone can help me please #10

Answers

What’s #10? I can’t see anything. Sorry

Sphenathi and other matriculants plan to pass Bloemfontein at 07.25 to travel the above stated distance to Uptington. Determine (to the nearest km/h) the average speed at which they must travel to be in Uptington by 09:45.​

Answers

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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Analyze the key features of the graph of the quadratic function f(x) = –x^2 + 4x – 3.
1. Does the parabola open up or down?
2. Is the vertex a minimum or a maximum?
3. Identify the axis of symmetry, vertex and the y-intercept of the parabola.

Answers

9514 1404 393

Answer:

downmaximumx=2; (2, 1), -3

Step-by-step explanation:

1. The negative leading coefficient (-2) tells you the parabola opens downward.

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2. The fact that the parabola opens downward tells you the vertex is a maximum.

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3. For quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For this parabola, that is x = -4/(2(-1)) = 2. The y-value of the vertex is f(2) = -2^2+4(2)-3 = -4+8-3 = 1. The y-intercept is the constant, c = -3.

axis of symmetry: x = 2vertex: (2, 1)y-intercept: (0, -3)
Analyze the key features of the graph of the quadratic function f(x) = x^2 + 4x 3.1. Does the parabola

A daycare charges a base fee of $25 per week plus $3/hour for a child.

Write an equation that relates the weekly charge C (in dollars) to the number, x, hours, that a child is in daycare​

Answers

Given :-A daycare charges a base fee of $25 per week plus $3/hour for a child.

To Find :-To write a equation that relates the weekly charge C (in dollars) to the number, x, hours, that a child is in daycare .

Solution :-

According to the question ,

The base price is $25 per week . And per hour charge is $3/hour .

So as per the question if we assume that the babysitter looked after the child for x hours in a week then , the total charge will be ,

→ Charge = $3/hr * x hr= $3x

So the total cost for a week , will be ,

→ Total cost = Base price + Charge

→ Total cost = $25 + $3x

And in the question we are told to assume total cost to be $C . Therefore ,

→ $C = $ (25 +3x)

C = 25 + 3x

Hence the required equation is C = 25 + 3x.

I hope this helps.

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