The height of a triangle is 4 cm more than twice its base. The area of the triangle is 168 cm^2. What is the length of the base of the triangle?

a) 12 cm
b) 6 cm
c) 7 cm
d) 14 cm

Answer:

the answer should be 28 ..

Answer:

The answer is 28!!!

Step-by-step explanation:

Use the combination formula to solve:

\(C = \frac{n!}{r!(n-r)!}\)

where

n = 8

and

r = 2

\(C = \frac{8!}{2! ~*~ 6!} = 28\)

I also got it right, look at the pic. Hope this helps!! :)

Answer:

\(\huge\boxed{\sf 1}\)

Step-by-step explanation:

f(x) = 3x - 4

Put x = 3

f(3) = 3(3) - 4

f(3) = 9 - 4

Also,

g(x) = x²

Put x = 2

g(2) = (2)²

Subtract Eq. (2) from Eq. (1)

= 5 - 4

\(\rule[225]{225}{2}\)

Answer:

F(3) -g(2) = 1

Step-by-step explanation:

F(3)= 3(3) -4= 5

g(2)= \(2^{2}\) = 4

f(3) -g(2)= 5-4 =1

Answer:

More than 8 seconds

Step-by-step explanation:

Xandler

Leon

Time  = x

Inequality for the required condition is:

The greatest possible number in the set of five distinct prime numbers with a mean of 10 and a median of 7 is 19.:

Let's assume the numbers to be n1, n2, n3, n4, and n5.

The average of these numbers is 10.

Therefore, we can write an equation as: (n1 + n2 + n3 + n4 + n5) / 5 = 10 (Equation 1)n1 + n2 + n3 + n4 + n5 = 50 (Equation 2)As we know that the median is the third number, we can write:n1 < n2 < n3 = 7 < n4 < n5Since all the numbers are prime, n1 and n2 must be less than 7.n1 < 7 and n2 < 7

Thus, the smallest possible values of n1 and n2 are 2 and 3 respectively.

To find the greatest possible number, we need to make n5 as large as possible.

Since n5 has to be the greatest prime number among the five primes, the only possibility is n5 = 19.

Substituting the values of n1 = 2, n2 = 3, n3 = 7, n4 = x, and n5 = 19 into Equation 2, we can solve for n4.2 + 3 + 7 + x + 19 = 50x = 19The set of five prime numbers is {2, 3, 7, 19, 19}.

Summary:The greatest possible number in the set of five distinct prime numbers with a mean of 10 and a median of 7 is 19.

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Answer:

29

Step-by-step explanation:

g(0)=3-2(0)

     = 3

f(3) = 8(3)+5

f(3) = 29

Answer:

The probability that it is a red or black marble is 0.6429, or 64.29%

Step-by-step explanation:

Frequentist Probability

The probability of an outcome is defined as the frequency of the number of ways the outcome occurs relative to the number of ways that it could have occurred.

The equation to calculate the probability is:

\(\displaystyle P(A)=\frac{m}{n}\)

Where m is the number of ways the event A can occur and n is the total number of ways it could have occurred.

The bag contains 6 red, 5 yellow, and 3 black marbles. If one of them is randomly selected, it can be of any color from a total of n=6+5+3=14

Event A consists of the marble being red or black. It can be taken from m=6+3=9 marbles.

The probability is:

\(\displaystyle P(A)=\frac{9}{14}=0.6429\)

The probability that it is a red or black marble is 0.6429, or 64.29%

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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Answer:

The inequality represented by the graph is y >  \(\frac{1}{2}\) x + 2

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where

From the given figure

∵ The line passes through points (0, 2) and (2, 3)

∴ x1 = 0 and y1 = 2

∴ x2 = 2 and y2 = 3

→ Substitute them in the rule of the slope above

∵ m = \(\frac{3-2}{2-0}\) = \(\frac{1}{2}\)

∴ m =  \(\frac{1}{2}\)

→ b is the value of y at x = 0

∵ At x = 0, y =2

∴ b = 2

→ Substitute the value of m and b in the form of the equation above

∵ y =  \(\frac{1}{2}\) x + 2

∴ The equation of the line is y =  \(\frac{1}{2}\) x + 2

∵ The line is dashed

∵ The shaded area is over the line

∴ The sign of inequality is >

→ Replace = in the equation by >

∴ y >  \(\frac{1}{2}\) x + 2

∴ The inequality represented by the graph is y >  \(\frac{1}{2}\) x + 2

Answer:

#64 = 18

#65 = 30

Step-by-step explanation:

Remember, the sum of all the angles in a triangle is equal to 180 degrees...

#64

123+ 39 = 162

180-162 = 18

#65

75 + 75 = 150

180-150 = 30

Answer:

18 and 30 degrees

Step-by-step explanation:

< a + <b + <c = 180 degrees

< b = 180 - (123+39) = 18 degrees

<b = 180 - 2(75) = 30 degrees

Answer:

\(N(-1,4)\)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3 + 3 + 3 + 3 = 12

Brainliest??? Plzzz!!!.....

Answer:

39.2 is the mean

the deviation is 15.2

Step-by-step explanation:

the mean of a set of numbers is the sum divided by the number of terms = 39.2

the deviation measures the spread of a data distribution of the sample = 15.2

Answer:

10.8

Step-by-step explanation:

To find the mean absolute deviation, first you need to find the mean. To find the mean, add up 23 + 42 + 36 + 63 + 31 and you'll get 195. Divide 195 by the total of numbers, which is 5, and you'll get 39.

After finding the mean, you need to find the distance between the mean, which is 39, and the numbers given. 23 is 16, 42 is 3, 63 is 24, 31 is 8, and 36 is 3. Then, you'll need to calculate the mean of the distances that you got.

16 plus 3 plus 24 plus 8 plus 3 = 54. Once you got this, divide 54 by the total of numbers, which is 5, and you'll get 10.8.

Answer:f^-1(x)=x-3

Step-by-step explanation:

Answer:

$9,393.78

Step-by-step explanation:

Using the equation:

A = P(1+r)^t

Where,

A = final amount

P = initial amount = $6,600

r = rate of increase = 4% = 0.04

t = time in years = 9 years (2012-2021)

A = 6,600(1 + 0.04)^9

= 6,600(1.04)^9

= 6,600(1.4233)

= 9,393.78

A = $9,393.78

The coordinates of the endpoint B is (-2,-5).

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

Given the data in the question;

Midpoint M( -5,0 )

Endpoint A ( -8,5 )

Endpoint B

Plug the given values into the above formula and solve for x₂ and y₂.

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

(x,y) = ( (x₁+x₂)/2, (y₁+y₂)/2 )

x = (x₁+x₂)/2

2x = x₁ + x₂

2( -5 ) = -8 + x₂

-10 = -8 + x₂

-10 + 8 = x₂

-2 = x₂

x₂ = -2.

y = (y₁+y₂)/2

2y = (y₁+y₂)

2y = y₁ + y₂

2( 0 ) = 5 +  y₂

0 = 5 +  y₂

-5 =  y₂

y₂ = -5

Therefore, the endpoint B is (-2,-5).

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For a random day with the standard deviation, the probability that there are less than 300 shoppers on a random day, is 0.00585.

Probability is a measure of the likelihood that an event will occur.

The average total number of shoppers on a grocery store in 1 day is 505; the standard deviation is 115.

Let, X be the random variable denoting the number of shoppers on a random day.

Then, X follows normal with mean 505 and standard deviation of 115.

Then, we can say that,

Z=(X-505)/115 follows standard normal with mean 0 and standard deviation of 1.

We have to find

P (250 <X< 450)

= P {(250-505)/155} < Z < {(450-505)/155}

= P (-1.64 <Z< -0.03)

Where, Z is the standard normal variate.

ρ = -1.64 <ρ< -0.03

Where, ρ is the distribution function of the standard normal variate.

From the standard normal table, this becomes

=0.00585

For a random day, the probability that there are less than 300 shoppers on a random day, is 0.00585.

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Not letting me add answer

Answer:

\(\large\boxed{\textsf{Option B. Right Scalene Triangle.}}\)

Step-by-step explanation:

\(\textsf{For this problem, we are asked which triangle has no equal sides and a right angle.}\)

\(\textsf{Let's review the types of triangles, according to the options.}\)

\(\large\underline{\textsf{What is an Isosceles Triangle?}}\)

\(\textsf{An Isoceles Triangle is a triangle that has \underline{2 congruent sides}.}\)

\(\textsf{Option A is incorrect.}\)

\(\large\underline{\textsf{What is a Right Scalene Triangle?}}\)

\(\textsf{An Isoceles Triangle is a triangle that has \underline{no congruent sides} and has \underline{1 right angle}.}\)

\(\boxed{\textsf{Option B is correct.}}\)

\(\large\underline{\textsf{What is a Right Isosceles Triangle?}}\)

\(\textsf{A Right Isoceles Triangle is a triangle that has \underline{2 congruent sides}. and 1 right angle}\)

\(\textsf{Option C is incorrect.}\)

\(\large\underline{\textsf{What is a Right Triangle?}}\)

\(\textsf{A Right Triangle is a triangle that has \underline{1 right angle}.}\)

\(\textsf{We're not sure how many equal sides this triangle has as it can be none, or 2.}\)

\(\textsf{Option D is incorrect.}\)

The equation of the exponential function is\(4 * 3^{x}\).

What is exponential function?

An exponential function is  of the form:

\(f(x) = a^{x}\)

here "a" is a constant called the base, and "x" is the variable. The base "a" is typically a positive real number, but it can also be a negative number or a complex number. The function is called exponential because the variable "x" appears in the exponent.

We can see that as "x" increases by 1, "y" is multiplied by a constant factor of 3. This suggests that the exponential function has a base of 3. To find the equation, we can use the general form of an exponential function:

\(y = a * b^{x}\)

where "a" is the initial value or y-intercept, and "b" is the base.

We can use the given values of (x,y) to form a system of equations:

\(a * 3^{0} = 4\)

\(a * 3^{1} = 12\)

\(a * 3^{2} = 36\)

\(a * 3^{3} = 108\)

Simplifying each equation, we get:

a = 4

3a = 12

9a = 36

27a = 108

Solving for "a", we get:

a = 4

Substituting this value of "a" into the equation, we get:

\(y = 4 * 3^{x}\)

So the equation of the exponential function represented by the table is y \(= 4 * 3^{x}.\)

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Answer: 20

Step-by-step explanation:

Jacob's grandma peeled 4 times as many potatoes as he did, so if she peeled  16, you would divide 16 by 4 and conclude that Jacob peeled 4 potatoes. Then, you would add the 4 potatoes that he peeled to her 16. Hope this helps!

Jacob and his grandmother both peeled 20 potatoes.

A ratio is a numerical comparison of two numbers. A ratio represents the proportion of one object to another.

Given, Jacob's grandmother peeled four times as many potatoes as he did, therefore if she peeled 16, divide 16 by four to get that Jacob peeled four potatoes. Then you'd add the four peeled potatoes to her 16.

potato peeled by Jacob's grandmother = 16

potato peeled by Jacob = 4

Total potatoes peeled = 16 + 4 = 20

Therefore both Jacob and his grandmother peeled the sum of 20 potatoes together.

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Answer:

Congressman Stevens will win the race

Step-by-step explanation:

Considering the margin of error, the possible outcomes for each candidate would be:

Congressman Stevens: from (54 - 3)% to (54+3)%

Challenger Jones: from (44 - 3)% to (44+3)%

Congressman Stevens: from 51% to 57%

Challenger Jones: from 41% to 47%

Therefore, even considering the margin of error, the pollster would be able to safely predict that Congressman Stevens will win the race.

Step-by-step explanation:

Use the Distributive Property:

\(8m - 20 = 6m - 8\)

Subtract 6m from both sides:

\(2m - 20 = - 8\)

Add 20 to both sides:

\(2m = 12\)

Divide each side by 2:

\(m = 6\)

Answer:m=6

Step-by-step explanation:

Answer: P =-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

\(-75 = 15(p+2)\) we can divide both sides by 15 and read right to left

\((p+2) = -5\) then take 2 from both sides

\(p= -7\)

It is more likely for Jenna's coin to land on tails than for Shay's coin to land on heads. This can be solved by concept of Probability.

To determine the likelihood of each event, we need to calculate the probabilities of the outcomes. For Jenna's coin, the probability of landing on tails can be calculated as 17 tails out of 36 flips, which is approximately 0.47 or 47%.

For Shay's coin, the probability of landing on heads can be calculated as 12 heads out of 22 flips, which is approximately 0.55 or 55%.

Therefore, the probability of Shay's coin landing on heads is higher than Jenna's coin landing on tails. However, the question asks which event is more likely to occur, which means we need to compare the probabilities of the opposite outcomes.

For Jenna's coin, the probability of landing on heads is 19 out of 36, which is approximately 0.53 or 53%. For Shay's coin, the probability of landing on tails is 10 out of 22, which is approximately 0.45 or 45%.

Since the probability of Jenna's coin landing on heads is closer to 50% than Shay's coin landing on tails, we can conclude that it is more likely for Jenna's coin to land on tails than for Shay's coin to land on heads.

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The image of (-3, -3) after dilation by a scale factor of 1/3 centered at the origin is  (-1, -1).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, the image of (-3, -3) after dilation by a scale factor of 1/3 centered at the origin will be,

= (-3/3, -3/3).

= (-1, -1).

It has been shrinked by a factor of three the image became smaller.

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The line that goes through (1, 3) and (1, -10) has an undefined slope.

The slope of a line that goes through two points (x1, y1) and (x2, y2), we use the formula:
slope = (y2 - y1) / (x2 - x1)
The formula to find the slopes of the lines that go through each pair of points.
A. (5, 7) and (-4, -2)
slope = (-2 - 7) / (-4 - 5)
slope = -9 / -9
slope = 1

The slope of the line that goes through (5, 7) and (-4, -2) is 1.
B. (1, 3) and (1, -10)
In this case, the two points have the same x-coordinate, which means that the line is vertical and the slope is undefined.


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Answer:

putting more than question is against app rules but alr

Part A: The value of each of the houses after a fixed number of years can be described by a linear function. This is because the value of each house increases at a constant rate, with the same amount added each year.

Part B: The function for House 1 could be written as f(x) = 294,580 + 8,937.6x, and the function for House 2 could be written as f(x) = 295,000 + 9,000x.

Part C: After 25 years, the value of House 1 will be approximately $750,834.40, and the value of House 2 will be approximately $753,000. The difference in value between the two houses after 25 years will be approximately $2,165.60, which is not a significant difference in the overall value of the houses. Therefore, either house would be a good choice for Belinda to purchase.