Which value for x makes the sentence true?
3
4
1+ 4 = 7
0 0 0
521
44
3
co
-3
Answers
Work: 3/4 * 4 + 4 = 7 , 12/4 * 4 + 4 = 7 , 3 + 4 = 7 , 7 = 7
Related Questions
Pavi has a credit line of $8,000 on his credit card. Review the summary of his credit card statement. How much credit does Pavi currently have available on this card?
Summary Previous Balance Payments/Credits New Purchases Finance Charge New Balance
$2,500. 00 $1,500. 00 $3,000. 00 $7. 50 $4,007. 50
A.
$3,992. 50
B.
$5,000. 00
C.
$5,500. 00
D.
$6,500. 50
Answers
The correct option is option (a) $3,992.50. Pavi currently has a $3,992.50 credit on her current card.
The calculation of the provided data, according to the question, is as follows:
$8000 is the credit limit on the card.
Paid in Full = $2,500
$1,500 has been credited to the account.
The value of recent purchases made by Pavi is $3,000
Applied finance charges equal $7.50
The card's current balance is equal to $4,007.50.
Using the formula below, we can now determine the amount of credit that is now available on the card:
The credit line on the card = Available Credit - New Balance
By entering values into the formula provided, we obtain
Credit available on the current card: $8,000 - $4,007.50= $3,992.50.
Read more about Credit from:
https://brainly.com/question/29024957
#SPJ4
A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of the building across the street and notices that the angle of elevation is 48°. She rides the elevator up three floors (60 feet) and finds that the angle of elevation to the top of the building across the street is 31°. How tall is the building across the street? (Round to the nearest foot.)
Answers
Answer:
131 ft
Step-by-step explanation:
You want the height of a building if two observations of its top separated by 60 vertical feet have angles of elevation of 48° and 31°.
SetupLet x be the distance to the building at street level, and y be the height of the building. The tangent relation is ...
Tan = Opposite/Adjacent
The first observation tells us ...
tan(48°) = y/x
The second observation tells us ...
tan(31°) = (y -60)/x
SolutionSolving each equation for x gives ...
x = y/tan(48°)
x = (y -60)/tan(31°)
The difference of these x-values is zero, so we have ...
x - x = 0
y/tan(48°) -(y -60)/tan(31°) = 0
y(1/tan(48°) -1/tan(31°)) +60/tan(31°) = 0
Subtracting the constant and dividing by the coefficient of y, we get ...
y = (60/tan(31°))/(1/tan(31°) -1/tan(48°)) = 60·tan(48°)/(tan(48°) -tan(31°))
y ≈ 130.724
The height of the building is about 131 feet.
Use the simplex algorithm to find the optimal solution to the following LP (solve manually): maxz= 36x1+30x2−3x3−4x4
s.t. x1+x2−x3≤5
6x1+5x2−x4≤10
∀xi≥0
Answers
The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.
maximize: z = c1x1 + c2x2 + ... + cnxn
subject to
a11x1 + a12x2 + ... + a1nxn ≤ b1
a21x1 + a22x2 + ... + a2nxn ≤ b2
am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i
In our case,
the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x
subject to:
x1 + x2 - x3 ≤ 5
6x1 + 5x2 - x4 ≤ 10
xi ≥ 0 for all i
We can rewrite the constraints as follows:
x1 + x2 - x3 + x5 = 5 (adding slack variable x5)
6x1 + 5x2 - x4 + x6 = 10 (adding slack variable x6)
Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:
x1 = x7
x2 = x8
x3 = x9
x4 = x10
The objective function becomes:
z = 36x7 + 30x8 - 3x9 - 4x10
Now we have the problem in standard form as:
maximize: z = 36x7 + 30x8 - 3x9 - 4x10
subject to:
x7 + x8 - x9 + x5 = 5
6x7 + 5x8 - x10 + x6 = 10
xi ≥ 0 for all i
To apply the simplex algorithm, we initialize the simplex tableau as follows:
| Cj | x5 | x6 | x7 | x8 | x9 | x10 | RHS |
---------------------------------------------------------------------------
z | 0 | 0 | 0 | 36 | 30 | -3 | -4 | 0 |
---------------------------------------------------------------------------
x5| 0 | 1 | 0 | 1 | 1 | -1 | 0 | 5 |
---------------------------------------------------------------------------
x6| 0 | 0 | 1 | 6 | 5 | 0 | -1 | 10 |
---------------------------------------------------------------------------
Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:
Iteration 1:
1. Choose the most negative coefficient in the 'z' row, which is -4.
2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).
3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.
Ratios: 5/0 = undefined, 10/(-4) = -2.5
4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.
5. Perform row operations to
make all other elements in the pivot column zero.
After performing these steps, we get the updated simplex tableau:
| Cj | x5 | x6 | x7 | x8 | x9 | x10 | RHS |
---------------------------------------------------------------------------
z | 0 | 0 | 0.4 | 36 | 30 | -3 | 0 | 12 |
---------------------------------------------------------------------------
x5| 0 | 1 | -0.2 | 1 | 1 | -1 | 0 | 5 |
---------------------------------------------------------------------------
x10| 0 | 0 | 0.2 | 1.2 | 1 | 0 | 1 | 2.5 |
---------------------------------------------------------------------------
Iteration 2:
1. Choose the most negative coefficient in the 'z' row, which is -3.
2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).
3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.
Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5
4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.
5. Perform row operations to make all other elements in the pivot column zero.
After performing these steps, we get the updated simplex tableau:
| Cj | x5 | x6 | x7 | x8 | x9 | x10 | RHS |
---------------------------------------------------------------------------
z | 0 | 0 | 0.8 | 34 | 30 | 0 | 4 | 0 |
---------------------------------------------------------------------------
x5| 0 | 1 | -0.4 | 0.6 | 1 | 5 | -2 | 10 |
---------------------------------------------------------------------------
x9| 0 | 0 | 1 | 6 | 5 | 0 | -5 | 12.5 |
---------------------------------------------------------------------------
Iteration 3:
No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:
z = 0
x1 = x7 = 0
x2 = x8 = 10
x3 = x9 = 0
x4 = x10 = 0
x5 = 10
x6 = 0
Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.
Learn more about Simplex Algorithm here:
https://brainly.in/question/46895640
#SPJ11
Ethan and Adrian are reading the same book. At the beginning of the month, Ethan was on page 18 and Adrian was on page 45. Ethan will read 12 pages per day and Adrian will read 9 pages per day. Let E represent the page of the book that Ethan is on at the end of t days into the month, and let A represent the page of the book that Adrian is on at the end of t days into the month. Write an equation for each situation, in terms of t,, and determine whether Ethan or Adrian is farther along in the book after 4 days.
Answers
Answer: Ethan
Step-by-step explanation:
E:A
18:45 on page
12:9 per day
48:36 after 4 days
Ethan is further along in the book after 4 days
MARKING BRAINLIEST FOR HELP
Answers
Answer: -4.75
Step-by-step explanation: YOU OR YOUR PARENTS VOTE BIDEN! TRUMP KILLED 223,000 PEOPLE AND HE STILL DOES NOT CARE! HE SAYS WE ARE ROUNDING THE CORNER. HE CAN NOT EVEN HAND OUT STIMULUS TO DYING BUISNESSES AND AIRLINES!
Answer:
the answer is 3/4
Step-by-step explanation:
I know this anser
if you walk 1.5 hours at 3mph, how fast shoukd you run in the next 0.5 hours to have the average speed of 4mph
Answers
Answer:
avg speed= total distance / total time
total time= 0.5+1.5= 2 h
d1= v1 t1=1.5×3=4.5
d2=v2t2
v2=x...let
d2=0.5x
atq....4.5+0.5x/2= 4
4.5+0.5x=8
x= v2=7mph
Answer:
7 mph
Step-by-step explanation:
Debra had 324 baseball cards. She got 439 more cards. How many cards does she have now?
Answers
Answer:763
Step-by-step explanation:
you add both numbers
The sun shines at a 60∘ angle to the ground. A flagpole is 20 feet tall. If you are trying to find the length of the shadow cast by the flagpole, what function should be used?
Sine
cosine
tangent
Answers
Answer: From the 60° angle, the flagpole is the opposite side and the shadow is the adjacent side of the triangle.
tangent 60° = opposite/adjacent
so
tan 60° = 20/x
multiply both sides by x and you have
x · tan60° = 20
divide both sides by tan 60° and you have
x = 20/tan60°
x = 11.5 ft.
if this is wrong sorry don’t be mad but if it’s right then hope this helps
find the midpoint between (1,2) and (11,12)
Answers
The value of the midpoint between (1, 2) and (11,12) is,
⇒ (6, 7)\
We have to given that;
To find the midpoint between (1,2) and (11,12).
Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Now, By definition of midpoint, we get;
The midpoint between (1,2) and (11,12) is,
⇒ (1 + 11)/2, (2 + 12) / 2
⇒ (12/2, 14/2)
⇒ (6, 7)
Thus, The value of the midpoint between (1, 2) and (11,12) is,
⇒ (6, 7)\
Learn more about the coordinate visit:
https://brainly.com/question/24394007
#SPJ1
(/8-/+)+(/++/4) find the sum plsss
Answers
The sum of the fraction given for the sum of 7/8 and 1/4 will be 1 1/8.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
It should be noted that the sum of 7/8 and 1/4 will be:
= 7/8 + 1/4
= 7/8 + 2/8
= 9/8
= 1 1/8
Therefore, the sum is 1 1/8.
Learn more about fractions on
brainly.com/question/78672
#SPJ1
Complete question
7/8 + 1/4. Find the sum.
a box contains 19 green mables and 17 white marbles. if the first marble chosen was a white marble, what is the probability of choosing, without replacement, another white marble?
Answers
Probability are as follows:
P( choosing white marble first) = \(\frac{17}{38}\)
P( choosing white marble at second pick without replacement) = \(\frac{16}{38}\)
Define probability.A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities. By dividing the number of positive outcomes by the entire number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are just two outcomes when you flip a coin: either it comes up heads or tails.
Given,
Green marbles = 19
White marbles = 17
Total marbles = 38
Probability:
P( choosing white marble first) = \(\frac{17}{38}\)
P( choosing white marble at second pick without replacement) = \(\frac{16}{38}\)
To learn more about probability, visit:
https://brainly.com/question/11234923
#SPJ4
solve pls brainliest
Answers
Answer:
$18.15
Step-by-step explanation:
45% of $33 = $14.85
$33 - $14.85 = $18.15
On parallelogram ABCD below, if A(1, 1), B(8, 5), C(5,-5) and D(-2,-9), what are the coordinates of point E?
Answers
The coordinates of point E on the parallelogram are given as follows:
(3, -2).
How to obtain the coordinates of point E?The coordinates of point E are obtained considering that the point E is the midpoint of segment AC, hence it's coordinates are the mean of the coordinates of A and C.
Then the x-coordinate of point E is obtained as follows:
x = (1 + 5)/2 = 3.
The y-coordinate of point E is obtained as follows:
y = (1 - 5)/2 = -4.
More can be learned about the midpoint of a segment at https://brainly.com/question/24682140
#SPJ1
A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
Answers
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
Learn more about division here:
https://brainly.com/question/29401139
#SPJ1
PLEASE HELP!!
Danielle needs your help! She is practicing operations with polynomials, but she keeps making mistakes! Find the error(s) that Danielle made for each problem. Help Danielle understand her
mistake by explaining the error(s) and then correctly performing the operation.
Answers
The correct result is 3x^2 - 6 - x^3.
What is Danielle's mistake?A polynomial is an expression that contains values that is raised to a given power. The rules of algebra are applied when we are dealing with polynomials of any degree. There are several kinds of polynomials depending on the order to which the term is raised in the expression.
An expression is cubic when the terms are raised to power 2 and the expression is quadratic when the terms are raised to power 2 and so on.
In this case, we have the expressions; x^3 - 2x^2 and x^2 -6. We are expected to subtract x^3 - 2x^2 from x^2 -6.
The mistake of Danielle was that x^2 -6 was subtracted from x^3 - 2x^2 rather than x^3 - 2x^2 from x^2 -6.
The correct work is;
x^2 - 6 - (x^3 - 2x^2)
x^2 - 6 - x^3 + 2x^2
3x^2 - 6 - x^3
Learn more about polynomials:https://brainly.com/question/11536910
#SPJ1
A circle has a radius of 4.2 cm.
Work out the length of the circumference.
Give your answer to 1 decimal place.
Answers
Step-by-step explanation:
r=4.2
cicumference of circle =2Πr=2×3.14×4.2=26.3
The circumference of the circle will be 26.4 cm.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
Given, A circle has a radius of 4.2 cm.
From the general formula of the circumference of the circle:
Circumference of the circle = 2*pi* radius
in our case,
Circumference of the circle = 2*pi *4.2
Circumference of the circle = 26.389 cm
Therefore, The circumference of the circle will be 26.4 cm.
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ3
Jenson needs to create a graph using the data he collected from the baseball tournament over the weekend. Jenson must create a graph where exact data points are provided.
Which of the following would NOT be a good graph for Jenson to use?
A. Stem-and-Leaf Plot
B. Dot Plot
C. Histogram
Answers
Here's link\(^{}\) to the answer:
bit.\(^{}\)ly/3gVQKw3
You can use this rule to work out the total cost, in pounds, of hiring a carpet cleaner. Multiply the number of days by 7.8 and then add 12
Andy hires a carpet cleaner.
The total cost is £82.20
(a) Work out the number of days Andy hires the carpet cleaner for.
Answers
Andy hired the carpet cleaner for 9 days, bringing the total cost to £82.20.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. Dependent variables depend on other variable while an independent variable .
Let y represent the amount of money paid to the carpet cleaner for working x days. Multiply the number of days by 7.8 and then add 12, Hence:
y = 7.8x + 12
For a total cost of 82.20
82.2 = 7.8x + 12x = 9.
Find out more on equation at: brainly.com/question/2972832
#SPJ1
use logarithmic differentiation to find the derivative of the function. y = x ex2(x2 4)5
Answers
To use logarithmic differentiation to find the derivative of the function y = x ex2(x2 4)5, we will take the natural logarithm of both sides of the equation and then use the properties of logarithms to simplify the expression:
ln(y) = ln(x) + ln(ex2(x2 4)5)
ln(y) = ln(x) + 2x2ln(e) + 5ln(x2 4)
Since ln(e) = 1, we can simplify further:
ln(y) = ln(x) + 2x2 + 5ln(x2 4)
Now we will differentiate both sides of the equation with respect to x:
1/y * y' = 1/x + 4x + (10x / (x2-4))
Multiplying both sides by y, we get:
y' = y * (1/x + 4x + (10x / (x2-4)))
Substituting back in the original expression for y, we have:
y' = x ex2(x2 4)5 * (1/x + 4x + (10x / (x2-4)))
Simplifying this expression further is possible, but the answer above is the final result using logarithmic differentiation.
Learn more about logarithmic differentiation:
https://brainly.com/question/31299592
#SPJ11
Which statement is true regarding the graphed functions?
Answers
f(-2) = g(-2)
What is the circumference of this circle?
Answers
Answer:
Hey Love! Answer: 12.56
Step-by-step explanation:
Hope this helps!
Pls solve with steps
Answers
B. 5=2x so 5/2 =x.
C. 2x+1=3 subtract the 1 over which will equal 2x=2 so x=1
D. On this one you have to have the same first number and it would be easier to make it 2^3(70) which is 210=x.
Write in its simplest form
117:156:91
Answers
Answer:
3/4 is the simplified fraction for 117/156 by using the GCD or HCF method. Thus, 3/4 is the simplified fraction for 117/156 by using the prime factorization method.
Answer:
- 3/4 117/156
12/7 156:91
HELPPPPPPP PLEASEEEEE
Answers
Answer:
E
Step-by-step explanation:
Answer:
c plz mark brainliest.........
In the table, x represents minutes, and y represents the altitude of an airplane.
Altitude of an Airplane
Minutes, x
Altitude in feet, y
15
22,500
20
20,000
25
17,500
30
15,000
Which statement is correct about the slope of the linear function that the table represents?
The slope is positive because as the minutes decrease, the altitude increases.
The slope is positive because as the minutes increase, the altitude increases.
The slope is negative because as the minutes decrease, the altitude decreases.
The slope is negative because as the minutes increase, the altitude decreases.
Answers
Answer:
it is d i took the quiz
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
i took the quiz
A triangular prism is 12 meters long and has a triangular face with a base of 8 meters and a height of 9 meters. What is the volume of the triangular prism?
Answers
The volume of the triangular prism is 216 cubic meters.
To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.
Calculate the area of the triangular base.
The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.
Plugging in the values, we get:
Area = (1/2) * 8 meters * 9 meters = 36 square meters.
Multiply the area of the base by the length of the prism.
The length of the prism is given as 12 meters.
Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.
Adjust for the shape of the prism.
Since the prism is a triangular prism, we need to divide the volume by 2.
Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.
Therefore, the volume of the triangular prism is 216 cubic meters.
For more such information on volume of triangular prism, visit:
https://brainly.com/question/31637705
#SPJ8
(v) test the hypothesis that women with above average looks earn the same average logwage as women with below average looks. use a significance level of 5%. (2 points) this hypothesis states that b2
Answers
The evidence does not strongly support the claim that women with above-average looks earn significantly more than women with average looks.
To understand the findings, we need to discuss a few key concepts. First, let's clarify the null hypothesis (H0) and the alternative hypothesis (H1). In this case, the null hypothesis states that there is no relationship between physical appearance and income (β2 = 0), while the alternative hypothesis suggests that there is a relationship (β2 ≠ 0).
In this scenario, the one-sided p-value of 0.272 means that there is a 27.2% chance of observing a relationship between physical appearance and income as strong or stronger than what was found in the study, purely by chance, if there is actually no relationship (β2 = 0). Since this p-value is relatively high (greater than the commonly used threshold of 0.05), it implies weak evidence against the null hypothesis.
Therefore, based on the given information, the evidence does not provide sufficient statistical support to reject the null hypothesis that there is no relationship between physical appearance and income (H0: β2 = 0).
To know more about hypothesis here
https://brainly.com/question/29576929
#SPJ4
Mathematics Diagnostic Assessment
Maria wants to add to her CD collection. If a CD costs $8, which expression shows the cost of d CDs?
OA. 8 + d
OB. 8-d
OC. 8-d
OD. 8x d
Answers
Is the number one question surface area right?
Answers
Yes it should be surface area
PLEASE HELP ASAP!
What is 2,391 x 92930 ÷ 5
Please help!!!
A 33,439,126
B 22,292,948
C 44,439,126
D 18,128,190