Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"
12 ⋅ x − 4
x − 4 ⋅ 12
4(x − 12)
12(x − 4)
Question 2(Multiple Choice Worth 3 points)
(06.02)
Which of these is the algebraic expression for "some number to the power of 5?"
5x
x5
5x
x + 5
Question 3(Multiple Choice Worth 3 points)
(06.02)
Translate the algebraic expression shown below into a verbal expression.
Fraction with variable x in numerator and 10 in the denominator.
The sum of ten and some number
The quotient of some number and ten
The product of some number and ten
The difference of ten and some number
Question 4(Multiple Choice Worth 3 points)
(06.02)
Which of these is the algebraic expression for "eight less than some number?"
8 − b
b − 8
Fraction 8 over b
Fraction b over 8
Question 5(Multiple Choice Worth 4 points)
(06.02)
Which verbal expression best describes the algebraic expression 4x ÷ 6?
The sum of four and some number divided by six
The quotient of four times some number and six
The product of some number and six divided by four
The quotient of four and some number times six
Question 6(Multiple Choice Worth 3 points)
(06.02)
Which of these is the algebraic expression for "seven more than the product of three and some number?"
7 + 3 + x
3 + 10 ÷ x
3x + 7
3 + 7x
I am just going to answer the first one
1. 12(x - 4)
Panel 1 is the answer choice
Panel 2 is the question
@ganeshie8
Which of the following would appear in the Credits column of a bank statement for a checking account?
A. An online bill payment
B. Interest earned
C. Bank fees
D. An ATM withdrawal
Answer:
Interest earned
Step-by-step explanation:
(APEX)
The more surface area an ice cube has, the more quickly it melts to cool a beverage. mark states that the ideal ice cube would be a prism that is a perfect cube of dimensions 2 by 2 by 2. denise thinks that the prism should be more flat, with dimensions of 1 by 2 by 4. which rectangular prism gives the greatest surface area, making for a better ice cube?
Answer: D
Step-by-step explanation:
Denise Rectangular prism gives the greatest surface area, making for a better ice cube.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The surface area of a rectangular prism can be calculated by adding up the areas of all six faces.
The surface area of a prism with dimensions l, w, and h is given by:
A = 2lw + 2lh + 2wh
For Mark's prism (2 by 2 by 2), the surface area is:
A = 2(2 × 2) + 2(2 × 2) + 2(2 × 2)= 24
For Denise's prism (1 by 2 by 4), the surface area is:
A = 2 (1 × 2) + 2 (1 × 4)+ 2 (2 × 4)= 28
So both prisms have the different surface area of 24 square units and 28 square units.
Hence, Denise rectangular prism gives the greatest surface area, making for a better ice cube
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Perform the indicated operation. then estimate to see whether the proposed results is reasonable. 11.58 + 11.9 + 9.2
32.68
22.68
33.68
31.68 Preform the indicated operation. Then estimate to see whether the proposed result is reasonable.
93.8 - 6.48
87.32
97.44
87.42
94.34
Preform the indicated operation. Then choose the best answer. 27.7 x 1.9 5.363
52.63
53.62
5.263 Choose the best estimate. 64.1 ÷ 97
641
6.41
0.641
6410 Use estimation to determine whether the result is reasonable or not. 108.93 x 32.6 Result: 355.112 Is it reasonable or not?
Factor. 25m^100 - 121n^16
PLEASE PLEASE PLEASE PLEASE HELP ME!
suppose ruth ann has 3 routes she can travel between the school to the library and 5 routes from the library to her home. how many routes are there from ruth anns school to her home with a stop at the library.
a. 9
b. 60
c. 15
d. 25
MATH hw help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
leon made 4 liters of lemonade for the party, but it was too strong, it was 14% lemon juice. How much 8% lemonade should he add to make a mixture that is 10% lemon juice? can someone show me how to solve this using the table or bucket method? thanks
Write an equation in slope intercept form for the line that passes through (-2,3) and is parellel to the line whose equation 3x+2y=6
What is the rate and unit rate of 16 dollars for 9 books?
What is the first step in solving 12 (9+5) - 6 (3)?
Write a pair of integers whose sum gives
(a) a negative integer (b) zero
(c) an integer smaller than both the integers. (d) an
integer smaller than only one of the integers.
(e) an integer greater than both the integers,
Answer:
The pairs below satisfy the five questions. A) -2 & 1. -2 + 1 = -1 B) -2 & 2. -2 + 2 = 0 C) -1 & - 2. -1+ -2 = -3 D) -3 & 1. -3 + 1 = -2 E) 1 & 2. 1 + 2 = 3.
Step-by-step explanation:
hope this helps have an amazing day
someone help a sister out
10 POINTS + BRAINLIEST ANSWER
The scatterplot below shows the distances and times spent traveling for 22 trips by a driver. What is the time, in hours, of the trip represented by the data point farthest from the line of best fit (not shown)
A. 4
B. 6
C. 8
D. 10
Compare the fraction by using the symbol < , <, or =. a. 4⁄9 _____ 5⁄9 b. 4⁄5 _____ 8⁄10 c. 7⁄12 _____ 7⁄15 d. 3⁄4 _____ 6⁄7
Final answer:
To compare fractions, evaluate if they are equal or if one is greater by comparing the numerators and denominators.
a. 4/9 < 5/9
b. 4/5 = 8/10
c.7/12 > 7/15
d.3⁄4 < 6⁄7
Explanation:
In fractions, to compare two fractions, check if the fractions are equal, or if one is greater than the other by comparing the numerators and denominators.
a. 4/9 vs. 5/9: 4/9 < 5/9 since 5 is greater than 4.
b. 4/5 vs. 8/10: 4/5 = 8/10 since they are both equivalent fractions.
c. 7/12 vs. 7/15: 7/12 > 7/15 since 12 is greater than 15.
d. 3/4 vs. 6/7: 3⁄4 < 6⁄7 because converting to decimals, 3⁄4 is 0.75 and 6⁄7 is approximately 0.857, making 6⁄7 larger.
Charlie wants to order lunch for his friends. He'll order 5 sandwiches and a $3 kid's meal for his little brother. Charlie has $28. How much can he spend on each sandwich if they are all the same price? Choose two answers: one for the inequality that models this situation and one for the correct answer.
The inequality 5x + 3 ≤ 28 represents the situation and each sandwich cost is $5.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
Let x be the cost of each sandwich.
5 sandwich costs = 5x
$3 kid's meal for his little brother.
Total cost = 5x + 3
5x + 3 = 28
5x = 25
x = $5
The inequality:
5x + 3 ≤ 28
Thus, the inequality 5x + 3 ≤ 28 represents the situation and each sandwich cost is $5.
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If f(x)=2x-4 and g(x)=x^2 , what is f(g(x)) ?
a painter needs to cover a triangular region 60 meters by 68 meters by 71 meters. a can of can cover 70 square meters.. how many cans will be needed??,
To cover the triangular region, the painter will need approximately 29 cans of paint.
Explanation:To find the number of cans needed to cover the triangular region, we first need to calculate the total area of the region. We can do this by using the formula for the area of a triangle: A = (1/2) * base * height. Assuming the 60 meters side is the base, we can use the formula to find the area: A = (1/2) * 60 * 68. The area of the triangular region is 2040 square meters. Since each can covers 70 square meters, we can divide the total area by the area covered by each can: 2040 / 70 = 29.14.
Therefore, the painter will need approximately 29 cans of paint to cover the triangular region.
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Can someone help me with 2-5?
Helppp!!! Will fan and Medal!!!
suppose n is an integer. select all statements below that are true:
n^2 + n is always an even integer
n^2 + n is always an even integer when n is even
n^2 + n is always an even integer when n is odd
n^2 + n is never an even integer when n is odd
n^2 + n is never an even integer
n^2 + n is sometimes an even integer
A line passes through the point (–7, 5) and has a slope of 1/2. Which is another point that the line passes through?
(–13, 9)
(–9, 13)
(9, 13)
(13, 9)
Answer:
Option C is correct.
Another point is, (9, 13)
Step-by-step explanation:
Point slope form states the equation of a straight line in the form [tex]y-y_1=m(x-x_1)[/tex]; ......[1]
where
m is the slope of the line and
[tex](x_1, y_1)[/tex] are the coordinates of a given point on the line.
As per the given condition we have;
[tex](x_1, y_1)[/tex] = (-7, 5)
Slope(m) = 1/2
then; substitute these in [1] we have;
[tex]y -5 = \frac{1}{2}(x-(-7))[/tex]
or
[tex]y -5 = \frac{1}{2}(x+7)[/tex]
Using distributive property; [tex]a\cdot(b+c) = a\cdot b + a\cdot c[/tex]
[tex]y-5= \frac{1}{2}x+\frac{7}{2}[/tex]
Add 5 on both sides we get;
[tex]y=\frac{1}{2}x+\frac{7}{2} + 5[/tex]
Simplify:
[tex]y= \frac{1}{2}x+\frac{17}{2}[/tex]
Only option which satisfy the above line equation is (9, 13).
Check:
put x = 9 and y = 13
[tex]13= \frac{1}{2}(9)+\frac{17}{2}[/tex]
[tex]13=\frac{9}{2}+\frac{17}{2} =\frac{26}{2} = 13[/tex] True.
Therefore, the another point that the line passes through is, (9, 13)
A) what is the value such that 50% or more of the students studied longer than that value?
a. 2 hours
b. 9 hours
c. 15 hours
d. 18 hours
e. 29 hours
Solve this problem, and identify the percent, amount, and base.
What percent of 60 is 45?
Answer:
45 is 75% of 60
Step-by-step explanation:
If we want to know what percentage of 60 is 45, our 100% will be 60.
to find out what percentage is 45 we apply a simple rule of three
[tex]60 \longrightarrow 100\\ 45\longrightarrow x\\ x=\frac{45(100)}{60}= 75[/tex]
Help! Halfway there. Two square pyramids have the same volume. For the first pyramid, the side length of the base is 16 in and the height is 28. On the 2nd pyramid the height is 112. What is the side length of the base of the 2nd pyramid?,
PLEASE HELP
8.08, part 2
11. Find an equation in standard form for the hyperbola with vertices at (0, ±6) and foci at (0, ±9).
A) y squared over 45 minus x squared over 36 = 1
B) y squared over 81 minus x squared over 36 = 1
C) y squared over 36 minus x squared over 81 = 1
D) y squared over 36 minus x squared over 45 = 1
12. Find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ± 1 divided by 4. x.
A) y squared over 16 minus x squared over 64 = 1
B) y squared over 16 minus x squared over 256 = 1
C) y squared over 256 minus x squared over 16 = 1
D) y squared over 64 minus x squared over 4 = 1
13. Eliminate the parameter.
x = t - 3, y = t2 + 5
A) y = x2 + 6x + 14
B) y = x2 - 14
C) y = x2 - 6x - 14
D) y = x2 + 14
14. Find the rectangular coordinates of the point with the polar coordinates.
ordered pair 3 comma 2 pi divided by 3
A) ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2
B) ordered pair 3 square root 3 divided by 2 comma negative 3 divided by 2
C) ordered pair negative 3 divided by 2 comma 3 divided by 2
D) ordered pair 3 divided by 2 comma negative 3 divided by 2
15. Find all polar coordinates of point P where P = negative pi divided by 6 .
A) (1, negative pi divided by 6 + (2n + 1)π) or (-1, negative pi divided by 6 + 2nπ)
B) (1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + 2nπ)
C) (1, negative pi divided by 6 + 2nπ) or (1, pi divided by 6 + (2n + 1)π)
D) (1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + (2n + 1)π)
16. Determine two pairs of polar coordinates for the point (4, 4) with 0° ≤ θ < 360°.
A) (4 square root 2 , 135°), (-4 square root 2 , 315°)
B) (4 square root 2 , 45°), (-4 square root 2 , 225°)
C) (4 square root 2 , 315°), (-4 square root 2 , 135°)
D) (4 square root 2 , 225°), (-4 square root 2 , 45°)
17. The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.
a circular graph with an inner loop on the left
[-5, 5] by [-5, 5] (5 points)
A) r = 3 + 2 cos θ
B) r = 2 + 3 cos θ
C) r = 2 + 2 cos θ
D) r = 4 + cos θ
18. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = -2 + 3 cos θ
A) No symmetry
B) y-axis only
C) x-axis only
D) Origin only
19. A railroad tunnel is shaped like a semiellipse, as shown below.
A semiellipse is shown on the coordinate plane with vertices on the x axis and one point of intersection with the positive y axis.
The height of the tunnel at the center is 54 ft, and the vertical clearance must be 18 ft at a point 8 ft from the center. Find an equation for the ellipse.
20. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 2 cos 3θ
Final answer:
To find the equations of the axes, asymptotes, and conjugate hyperbola of a given hyperbola in general form, algebraic manipulation including finding the hyperbola's center, complementing squares for x and y, and determining the asymptote slopes is necessary.
Explanation:
When encountering the equation of a hyperbola in the general form ax² + 2hxy + by² + 2gx + 2fy + c = 0, finding the axes, asymptotes, and equation of the conjugate hyperbola requires a series of steps and some algebraic manipulation. Here's an outline how you would typically approach it:
First, find the center of the hyperbola by solving the system of equations derived from the partial derivatives with respect to x and y set to zero.
Transform the equation by completing the square for both x and y terms to determine the values of the semi-major and semi-minor axes.
To find the slopes of the asymptotes, you'd use the equation derived from the general form by setting the constant term such that only the x and y squared terms remain.
Lastly, the conjugate hyperbola can be determined by changing the signs associated with the squared terms.
As an example, an original hyperbola's equation might look like 8x² + 10xy - 3y² - 2x - 4y - 2 = 0. After required algebraic manipulations, which include centering the hyperbola and finding the orientation of the axes, the equations to the asymptotes are derived by setting the constant term to create the equation 8x² + 10xy - 3y² = 0 and solving for y in terms of x. Meanwhile, the conjugate hyperbola is found by negating the sign of the y squared term in the transformed equation of the original hyperbola.
What is the measure of ∠XBC?
1. m∠XBC = m∠BAC + m∠BCA
2. 3p – 6 = p + 4 + 84
3. 3p – 6 = p + 88
4. 2p – 6 = 88
5. 2p = 94
m∠XBC =
The measure of an exterior angle of triangle is equal to the sum of measures of two interior angles of triangle that are not supplementary with this exterior angles.
In the case of this question this fact sounds as
m∠XBC = m∠BAC + m∠BCA (option 1).
Now if
m∠XBC=(3p-6)°m∠BAC=(p+4)°m∠BCA=84°,then
3p-6=p+4+84 (option 2),
3p-6=p+88 (option 3),
3p-p-6=p-p+88,
2p-6=88 (option 4),
2p-6+6=88+6,
2p=94 (option 5),
p=47.
Then m∠XBC=(3p-6)°=(3·47-6)°=135°.
Answer: m∠XBC=135°.
Mr. sam's swimming pool is in the shape of a parallelogram, as shown. what is the area of his swimming pool? 189 ft² 234 ft² 279 ft² 585 ft² parallelogram a b c d with side a d parallel to side b c and side a b is parallel to side d
c. point e is on side a
b. a e is 5 feet. dc is 26 feet. a dotted segment d e runs from point d to the opposite side a b and is perpendicular to side a
b. d e is 9 feet.
f(5)= 3.14r^{2}
pls help
Which equation is true for the value b = 2? 2b + 24 = 30 3b − 2 = 4 b + 4 = 8 2b − 3 = 0
Answer:
3(b – 2) = 24
Step-by-step explanation:
The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off all entry tickets during the off-peak season. The Sandlers paid a total of $78 for 1 adult ticket and 2 child's tickets to the water park during the off-peak season. 78 = one-half x + (x − 6) What is the regular price of a child's ticket?