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Answer:A. 36

Step-by-step explanation:2x+16=×+20 x=4

4+8=12. 4+20=24

12+24=36

Answer: 1 1/40.

Step-by-step explanation:

Answer:

2h+3 Because they bought 2 hot dogs and h represents the amount they cost. And the 3 represents the drink he purchased

Answer:74

Step-by-step explanation:

Since RP is 72, you would divide 72 by 2. The quotient you would get is 36. So then Q=38, you would add 36+38 and get 74.

Answer:

116.9FT

Step-by-step explanation:

Answer:

151 trays, 1 left over

Step-by-step explanation:

907/6 = 151 remainder 1

The Bake Stars could sell 151 trays of caramel apples with 1 apple left over.

The Bake Stars picked 907 apples and sold them in trays of 6.

To determine how many trays they can sell, divide the total number of apples by the number of apples in each tray:

907 apples / 6 apples per tray = 151 trays with 1 apple remaining (since 907 = 151 * 6 + 1).

Answer:

A) For line l = (2x + 8°) + (5x - 10°) = 180° ....... (i)

For line k = (3x + 42°) + (x + 34°) = 180° ....... (ii)

B) In line l, two angles are = 60° and 120°

In line k, two angles are =  120° and 60°

Step-by-step explanation:

Requirement A

To find the measure of each angle, we have to use equation.

According to the graph, line l and k are parallel, therefore, both are straight angle. We know that a straight angle is equal to 180°. Therefore, line l and k are 180°. As both the line are intersected by line j, the lines are separated by two angles. So, the equation for line l is -

(2x + 8°) + (5x - 10°) = 180° ....... (i)

the equation for line k is -

(3x + 42°) + (x + 34°) = 180° ....... (ii)

Requirement B

For line "l "

By solving the equations, we can measure the angles

(2x + 8°) + (5x - 10°) = 180°

or, 2x + 8° + 5x - 10° = 180°

or, 7x - 2° = 180°

or, 7x = 180° + 2°

or, 7x = 182°

or, x = 182° ÷ 7 [Dividing both the sides by 7]

or, x = 26°

Therefore, 2x + 8° = 2 × 26° + 8° = 52° + 8° = 60°

the other angle is = 5x - 10° = 5 × 26° - 10° = 130° - 10° = 120°

For line "k "

(3x + 42°) + (x + 34°) = 180°

or, 3x + 42° + x + 34° = 180°

or, 4x + 76° = 180°

or, 4x = 180° - 76° [Deducting 76° from the both the sides]

or, 4x = 104°

or, x = 104° ÷ 4

Hence, x = 26°

Therefore, 3x + 42° = 3 × 26° + 42° = 78° + 42° = 120°

The other angle is = x + 34° = 26° + 34° = 60°

Answer:

1

Step-by-step explanation:

Only 1 right angle can be in any triangle.

Answer:

7/8

Step-by-step explanation:

Simplify the following:

(1 + 3/4)/2

Put 1 + 3/4 over the common denominator 4. 1 + 3/4 = 4/4 + 3/4:

(4/4 + 3/4)/2

4/4 + 3/4 = (4 + 3)/4:

((4 + 3)/4)/2

4 + 3 = 7:

(7/4)/2

7/4×1/2 = 7/(4×2):

7/(4×2)

4×2 = 8:

Answer:  7/8

Final answer:

To factor the quadratic expression 8x² – 18x – 5 completely, one finds factors of the coefficient product (–40) that sum to the x coefficient (–18). These factors are -20 and +2, which are used to rewrite and group the middle term, allowing us to factor by grouping into (4x + 1)(2x – 5).

Explanation:

To factor the quadratic expression 8x2 − 18x − 5 completely, we need to find two binomials that when multiplied together give us the original quadratic expression. This process generally involves finding two numbers that multiply to give us the product of the coefficient of x2 term (8) and the constant term (-5) and also add to give the coefficient of the x term (-18).

The product of the coefficient of x2 and the constant term is -40 (8 × -5). We need to find factors of -40 that will add up to -18. After testing several combinations of factors, we see that -20 and 2 work since -20 + 2 = -18. Now we rewrite the middle term using these two numbers:

8x² − 20x + 2x − 5

Next, we group the terms to facilitate factoring by grouping:

=(8x² − 20x) + (2x − 5)

Now we factor out the common factors from each group:

=4x(2x − 5) + 1(2x − 5)

At this point, we have a common binomial factor (2x − 5) that can be factored out:

=(4x + 1)(2x − 5)

This is the expression factored completely.

Answer:

25 and

9

Step-by-step explanation:

Let the number of males be A and that of females be B

Total number of students = 34

Number of females B = A - 16

Remember males and females = 34

That’s

A + B = 34

We now have two equations

Equation one:B = A - 16

Equation two: A + B = 34

Substitute A - 16 for B in equation 2

We have,

A + B = 34

A + A - 16 = 34

2A - 16 = 34

Add 16 to both sides

2A - 16 + 16 = 34 + 16

2A = 50

Divide both sides by 2

2A/2 = 50/2

A = 25

Now put 25 as A in any of the equations to get B

Using equation one , we have

B = A - 16

B = 25 - 16

B = 9

There are 25 males and 9 females in the class

Answer:

0.00132450331

Step-by-step explanation:

just divide lol

To solve 8 divided by 6040, perform the division, resulting in approximately 0.0013245.

To solve the problem of 8 divided by 6040, follow these steps:

Answer:

The answer is:

No, they are not independent because P(student)≈ 0.82 and P(student|pirate) ≈0.94

Step-by-step explanation:

so the answer is B

No, they are not independent because P(student) = 0.82 and P(Student|pirate) = 0.94

The probability of being student P(student) = 0.82

The probability of perferring pirate P(pirate) = 0.94

These two events are not independent events.

Hence, they are not independent because P(student) = 0.82 and P(Student|pirate) = 0.94

Learn more about independent events here:

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yes is an equilateral triangle also a rhombus

Answer:

ues it is   a equilateral triangle

Step-by-step explanation:

from the meaning of equilateral, equilateral means all sides are equal in length.

a rrhombus has all its side equal.and therefore it s an  equilateral triangle

Answer:

17+3b+5c

Step-by-step explanation:

9-4b+(8+7b+5c)

9-4b+8+7b+5c

9+8-4b+7b+5c

17+3b+5c

Answer:

C. $5.55

Step-by-step explanation:

Total cost of installing 60 square feet of flooring

= $253.00 + $80

= $333

Total number of square feet for flooring = 60

Now cost per square foot of the flooring

= total cost/total number of square feet

That’s

$333/60 = $5.55

Each square foot cost $5.55

Answer:

The correct answer is 32.5

Answer:

I think it is 8.5

Step-by-step explanation:

The height of the triangle is 8.5 feet

To find the height of a triangle when the area and the base are known, we use the formula Area = 1/2 x base x height, where A is the area, b is the base, and h is the height. Given that the area of the triangle is 93.5 square feet and the base measures 22 feet, we can rearrange the formula to solve for h: h = 2 × Area/Base

h = 2×93.5/22

h=187/22

h = 8.5 feet

Therefore, the height of the triangle is 8.5 feet.

72 = l . w . h

72 = x . (x - 1) . (x + 9)

72 = (x² - x) . (x + 9)

72 = x³ + 9x² - x² - 9x

72 = x³ + 8x² - 9x

0 = x³ + 8x² - 9x - 72

0 = x² (x + 8) - 9 (x + 8)

0 = (x² - 9)(x + 8)

0 = (x - 3)(x + 3)(x + 8)

x = 3 or x = -3 or x = -8

so, x = 3

length = x = 3

width = x - 1 = 2

height = x + 9 = 12

Final answer:

To find the dimensions of the rectangular prism, set up an equation using the volume formula and solve for x. The dimensions of the box are 3 feet, 2 feet, and 12 feet.

Explanation:

To find the dimensions of the box, we need to set up an equation using the volume formula for a rectangular prism. The volume of a rectangular prism is given by V = length x width x height.

So, we have the equation x(x - 1)(x + 9) = 72.

Simplifying this equation, we get x³ + 8x² - 9x - 72 = 0.

Using factoring or synthetic division, we find that x = 3 is a solution to the equation. Therefore, the length of the box is 3 feet, the width is 2 feet, and the height is 12 feet.

Answer:

1,600,000

Step-by-step explanation:

100,000x2x2x2x2

Answer:160000

Step-by-step explanation:

,

Answer:

4π(2r)² = 4π(4r²) = 4(4πr²)

Doubling the radius of a sphere increases the surface area by a factor of 4.

The correct factor is 4. Doubling the radius of a sphere increases the surface area by a factor of 4.

To understand why the surface area increases by a factor of 4 when the radius is doubled, let's consider the formula for the surface area of a sphere, which is given by:

[tex]\[ A = 4\pi r^2 \][/tex]

where A is the surface area and [tex]\( r \)[/tex] is the radius of the sphere.

Now, if we double the radius, the new radius becomes [tex]\( 2r \)[/tex]. Substituting this into the formula for surface area, we get:

[tex]\[ A_{\text{new}} = 4\pi (2r)^2 \][/tex]

[tex]\[ A_{\text{new}} = 4\pi \cdot 4r^2 \][/tex]

[tex]\[ A_{\text{new}} = 16\pi r^2 \][/tex]

To find out how much the surface area has increased, we take the ratio of the new surface area to the original surface area:

[tex]\[ \text{Factor of increase} = \frac{A_{\text{new}}}{A} \][/tex]

[tex]\[ \text{Factor of increase} = \frac{16\pi r^2}{4\pi r^2} \][/tex]

[tex]\[ \text{Factor of increase} = 4 \][/tex]

Therefore, when the radius of a sphere is doubled, the surface area increases by a factor of 4.

Answer:

8:36

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/8

Answer:

11+(2×4)

11+8

$19....

Answer:

Cost for 2 hours=19, Cost for 2 hours=11+4t

The correct answer is [tex]\( x = \frac{\ln(1.5)}{4\ln(1.05)} \).[/tex]

Let's analyze the given equation step by step:

Given the equation [tex]\( 1000(1+0.05)^4 \cdot x = 1500 \)[/tex], we want to solve for [tex]\( x \).[/tex]

First, simplify the left side of the equation by calculating

[tex]\( (1+0.05)^4 \):\( (1+0.05)^4 = (1.05)^4 \).[/tex]

Now, the equation becomes:

[tex]\( 1000 \cdot (1.05)^4 \cdot x = 1500 \).[/tex]

Next, divide both sides by [tex]\( 1000 \cdot (1.05)^4 \) to isolate \( x \):[/tex]

[tex]\( x = \frac{1500}{1000 \cdot (1.05)^4} \).[/tex]

Simplify the right side by dividing 1500 by 1000:

[tex]\( x = \frac{1500}{1000} \cdot \frac{1}{(1.05)^4} \),[/tex]

[tex]\( x = 1.5 \cdot \frac{1}{(1.05)^4} \).[/tex]

Now, to express [tex]\( x \)[/tex] in terms of natural logarithms, we take the natural logarithm of both sides:

[tex]\( \ln(x) = \ln(1.5 \cdot \frac{1}{(1.05)^4}) \).[/tex]

Using the property of logarithms that [tex]\( \ln(ab) = \ln(a) + \ln(b) \)[/tex], we can split the right side:

[tex]\( \ln(x) = \ln(1.5) - \ln((1.05)^4) \).[/tex]

Applying the power rule of logarithms, [tex]\( \ln(a^b) = b\ln(a) \)[/tex], we get:

[tex]\( \ln(x) = \ln(1.5) - 4\ln(1.05) \).[/tex]

To solve for [tex]\( x \)[/tex], exponentiate both sides to remove the natural logarithm:

[tex]\( e^{\ln(x)} = e^{\ln(1.5) - 4\ln(1.05)} \),[/tex]

[tex]\( x = e^{\ln(1.5)} \cdot e^{-4\ln(1.05)} \),[/tex]

[tex]\( x = 1.5 \cdot \frac{1}{e^{4\ln(1.05)}} \),[/tex]

[tex]\( x = 1.5 \cdot \frac{1}{(e^{\ln(1.05)})^4} \),[/tex]

[tex]\( x = 1.5 \cdot \frac{1}{(1.05)^4} \).[/tex]

Now, we have arrived back at the expression we had for [tex]\( x \)[/tex] earlier:

[tex]\( x = 1.5 \cdot \frac{1}{(1.05)^4} \).[/tex]

To find the numerical value of [tex]\( x \)[/tex], we can use the expression involving natural logarithms:

[tex]\( x = e^{\ln(1.5) - 4\ln(1.05)} \).[/tex]

This is equivalent to:

[tex]\( x = \frac{e^{\ln(1.5)}}{e^{4\ln(1.05)}} \),[/tex]

[tex]\( x = \frac{1.5}{1.05^4} \).[/tex]

Finally, to express [tex]\( x \)[/tex] as a single logarithm, we can use the change of base formula for logarithms:

[tex]\( x = \frac{\ln(1.5)}{\ln(1.05^4)} \),[/tex]

[tex]\( x = \frac{\ln(1.5)}{4\ln(1.05)} \).[/tex]

This is the correct expression for [tex]\( x \)[/tex] in terms of natural logarithms. The mistake in the original attempt was likely in the manipulation of the logarithms, where the properties of logarithms were not correctly applied. The correct step is to use the quotient rule of logarithms, [tex]\( \ln(\frac{a}{b}) = \ln(a) - \ln(b) \)[/tex], and the power rule, [tex]\( \ln(a^b) = b\ln(a) \)[/tex], to arrive at the correct expression for [tex]\( x \).[/tex]

Answer:

f(200) =116

f(200) is the cost to rent the moving van and drive it 200 miles

Step-by-step explanation:

f(x) = 90 + 0.13x

Let x = 200

f(200) = 90+ .13(200)

          =90+26

          =116

f(200) is the cost to rent the moving van and drive it 200 miles

The graph of g(x) = f(–2x) will be a horizontally stretched and reflected version of the graph of the parent function f(x) = x^3. The reflection occurs over the y-axis, and the stretch is by a factor of 1/2.

The student's question involves a transformation of a cubic parent function. The original function, f(x) = x3, represents a standard cubic graph, which is symmetric about the origin and increases from negative infinity to positive infinity as x does the same. The transformation g(x) = f(–2x) modifies the parent function in two notable ways. First, the multiplication by –2 reflects the graph over the y-axis (because of the negative sign) and also stretches it horizontally by a factor of 1/2 (because the absolute value of the number is greater than 1).

To visualize this, if we consider specific points on the graph of f(x) such as (1,1), (2,8), and (3,27), you would find their corresponding points on g(x) at (-0.5,1), (-1,8), and (-1.5,27), respectively. This indicates that every point on g(x) is twice as far from the y-axis as it is on f(x), and on the opposite side due to the reflection.

The effect of this transformation demonstrates the result of horizontal stretching and reflection when contrasts with the original function f(x), providing insight into how linear transformations affect the shape and position of graphs.

Answer:

Step-by-step explanation:

(4x^2-2x+8)+(x^2+3x-2)

Collect like terms

5x^2+x+6

5x^2+x+6 dont know if you need to siplify it any more

Answer(s): 1/2, 1, 1/3, 1/4

Any of these could work. Any number beyond 1 could work. The fraction 1/12 is pretty small, and the bigger the number in fractions, the smaller they get.

Example: 1/24 is bigger than 1/64

Because 64 is a bigger number, you'd have to cut it up more and more, getting smaller pieces.

So,  any number smaller than 12 in a fraction could work- EXCEPT negatives. All whole numbers work as well.

Answer:

1 + 2i and 1 – 2i

The resulting coordinate of X is (0, -2)

Given the coordinate point X (-3, -2). If the coordinate is translated using the rule (x, y) = (x+3, y + 4), the resulting coordinate will be (-3+3, -2+4) = (0, 2)

In conclusion, the resulting coordinate of X is (0, -2)

Learn more on translation here: https://brainly.com/question/1046778

After translation and reflection, the coordinate of X" is (0, -2).

To find the coordinate of X" after a translation and reflection, we need to first apply the translation rule to point X (-3, -2). Using the rule (x, y) = (x+3, y + 4), we add 3 to the x-coordinate and add 4 to the y-coordinate:

x' = -3 + 3 = 0

y' = -2 + 4 = 2

After the translation, the new coordinates are (0, 2). To reflect over the x-axis, we change the sign of the y-coordinate, giving us the final coordinate of X" as (0, -2).

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Answer:

1. 6100

2. 1150

3. 60

4. 50

Step-by-step explanation: