The letter A B C D
represents the location of –1.5 on the number line.

Answer:

.

Step-by-step explanation:

If 160 workers can produce 32 cars in 2 hours, The number of workers that can produce 66 cars in 3 hours is 220 .

Using this formula

W = kC/H

160  = k(32 )/2= 17k

k =  160 /16

Hence,

W = (160 /16)C/H

W = (160 /16) (66/3)

W= 220 workers

Therefore we can conclude that 220 workers can produce the cars in 3 hours.

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Answer:

E

Step-by-step explanation:

I am a line & domain is -7

The value of the exponential function (-1) will be equal to f(-1) = -0.02.

The mathematical expression f(x)=exp or e^x denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects.

Given that f(x) is an exponential function where f(-3) = 11 and ƒ(4) = 55. The value of the exponential function will be calculated as,

[tex]y=ax^b[/tex]

[tex]11=a(-3)^b\\55=a(4)^b[/tex]

Calculate the value of constants,

log5 = blog(4 / 3)

b = 0.7 / 0.125

b = 5.6

The value of 'a' will be,

11 = a(-3)⁵°⁶

a = -0.02

The exponential function f(-1) will be calculated as,

f(-1) = -0.02(-1)⁵°⁶

f(-1) = -0.02

Therefore, the value of the exponential function (-1) will be equal to f(-1) = -0.02.

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Answer:

Step-by-step explanation:

1. Basic systems in fluids: 1 pound equals 16 ounces.

2. Multiply 16 ounces by 5 to become equivalent!

16 ounces*5= 80 ounces!

3. Always double check

80 ounces/16=5 pounds

Answer: 80 ounces

Answer:

3:2

Step-by-step explanation:

You need to find two more equivalent ratio of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.

Another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice concentrate

Ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1

ratio of cups of sparkling water : cups of grape juice concentrate = 3 : 1

Equivalent ratio to 3 : 1 are

6 : 2,

9 : 3,

12 : 4

15 : 5

21 : 7

Non equivalent ratio of 3 : 1 are

3 : 2

4 : 2

5 : 5

6 : 4

Therefore, another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice concentrate

1. The table of values for Dianely's salary can be represented for 4 years as follows:

Year         Salary

1            $40,000

2           $42,500

3           $45,000

4           $47,500

2. The equation that models Dianely's salary after n years is S = 40,000 + 2,500n.

An equation is a mathematical statement stating that two mathematical expressions are equivalent or equal.

For instance, given the number of years, one can claim that Dianely's salary will be a given amount based on the above equation.

Equations involve variables, numbers, and the use of the equation sign (=) with some mathematical operands.

Initial salary = $40,000

Salary raise per year = $2,500

Disney's salary after n years in equation form, S = 40,000 + 2,500n.

Table of Values for Dianely's Salary:

Year         Salary

1            $40,000

2           $42,500 (40,000 + 2,500)

3           $45,000 (42,500 + 2,500)

4           $47,500 (45,000 + 2,500)

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Answer: I believe the answer is (-7, 12)

Step-by-step explanation:

Answer:

-7,12

Step-by-step explanation:

Answer:

525 cm

Step-by-step explanation:

a heptagon has 7 sides and it can be split into 7 different equal triangles and one already has the side so we just find the area of the triangle.

1/2(12)(12.5)

6(12.5)

75

75 is the area of the triangle so now we multiply by 7

75x7=525 cm

Hopes this helps please mark brainliest

Answer: 525 cm squared

Step-by-step explanation:

Find the area of 1 of the Isoceles triangle and then multiply it by 7, because there are 7 Isoceles triangles in the heptagon. Area= 1/2 base x height = 1/2 x 12cm x12.5cm = 75cm squared. Now 75 cm squared x 7 = 525 cm squared

Answer:

D

Step-by-step explanation:

the y- intercept is the value of y on the y- axis where the function crosses.

the function crosses the y - axis when x = 0

substitute x = 0 into f(x)

f(0) = [tex]2^{0}[/tex] = 1

y- intercept is 1

The height of the cliff is 7.57m and the time to reach the ground when thrown straight down is 0.814s

Motion under gravity refers to the movement of an object whose vertical motion is affected by the presence of gravity. The force that attracts objects downwards is GRAVITY. In fact, gravity works towards the centre of the Earth.

When an object is moving upward,it is moving against gravity and when it is moving down it is moving with gravity.

from equation of motion

H= ut-1/2gt^2( the object is moving upward)

where h is the height of the cliff and u is the initial velocity and g is acceleration due to gravity

(g=10ms^-2).

therefore h= 8.14×2.41-(1/2×10×2.41)

= 19.62-12.05

h= 7.57m

when the object is thrown Down,

V = u + gt

u will be 0 at top before coming down

V = gt

t= 8.14/10

= 0.814s

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The equation of the line in the graph is y = 4x - 9..

The equation of a line in slope intercept form can be represented as follows:

The line forms a linear equation.

Therefore,

y = mx + b

where

Therefore, using (0, -9)(3, 3) let's find the slope

m = 3 + 9 / 3 - 0

m = 12 / 3

m = 4

Therefore, let's find the y-intercept using (0, -9).

-9 = 4(0) + b

b = -9

Therefore, the equation is y = 4x - 9.

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Answer:

1/4

Step-by-step explanation:

add all of them to get the sum which is 12. Since he asked for the blue which are 3. You put the 3/total which is 3/12. Then simplify. Which is equal to 1/4

The polynomial satisfying the given conditions is given as 2x⁴ + 10x² + 8.

The polynomial is an algebraic expression in which no any terms has the power other than a whole number.

The degree of a polynomial is the highest power of one of its terms.

Given that,

The degree of polynomial is n = 4.

The zeros of the polynomial are i and 2i.

And, f(-1) = 20

Since, a polynomial with real coefficients have either real zeros or complex conjugate zeros.

Here, the given zeros of the polynomial are imaginary which implies that the remaining two zeros are the conjugate of the given two zeros.

Thus, the zeros of the given polynomial are i, 2i, -i and -2i.

The general form of a 4th degree polynomial is given as,

ax⁴ + bx³ + cx² + dx + e

Use the factor theorem to get,

ax⁴ + bx³ + cx² + dx + e =  K(x - i) (x - (-i)) (x - 2i) (x- (-2i))        (1)

⇒ ax⁴ + bx³ + cx² + dx + e = K(x² + 1) (x² + 4)                          (2)

Now, f(-1) = 20 which gives,

K((-1)² + 1) ((-1)² + 4) = 20

⇒ k = 2

Substitute K =2 in equation (2) to get,

ax⁴ + bx³ + cx² + dx + e = 2(x² + 1) (x² + 4)  

⇒ ax⁴ + bx³ + cx² + dx + e = 2(x⁴ + 5x² + 4)  

⇒ ax⁴ + bx³ + cx² + dx + e = 2x⁴ + 10x² + 8  

Hence, the nth-degree polynomial function with real coefficients satisfying n = 4 and zeros i and 2i is 2x⁴ + 10x² + 8.

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Answer:

5/14

Step-by-step explanation:

they subtract 1/14th each time
(You cant simplify)

Answer:

Charlie gets paid more then Derek. Charlie gets paid per hour $52.25

Answer:

d is great than -3

Step-by-step explanation:

because negative numbers are less than whole numbers

Answer:

j = 9

Step-by-step explanation:

Given equation,

→ -3(j - 8) + (-6) = -9

Let's solve for the value of j,

→ -3(j - 8) + (-6) = -9

→ -3j + 24 - 6 = -9

→ -3j + 18 = -9

→ -3j = -9 - 18

→ j = (-27)/(-3)

→ [ j = 9 ]

Hence, the value of j is 9.

Answer:

j = -9

Step-by-step explanation:

[tex] - 3(j - 8) + - 6 = - 9 \\ open \: brackets \\ - 3j + 24 + - 6 = - 9 \\ 3j + 24 = - 9 + 6 \\ 3j + 24 = - 3 \\ 3j = - 3 - 24 \\ 3j = - 27 \\ divide \: by \: 3 \\ j = - 9[/tex]

Answer:

Step-by-step explanation:

2+2=4

4+5=9

0+9=9

Answer:

4, 9 , 9 OR 4 + 9 + 9 = 22

Step-by-step explanation:

Answer:

20 mph

Step-by-step explanation:

If it took the car originally 12 minutes to travel the road with an average speed of 60 mph. Than you would just divide the average speed by three because it is taking 3 times the amount of time than it would originally.

36/12=3

60/3=20

20 mph

Line l was translated down 8 units, is true for the transformation that took place.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

Given that, parallel lines l, m, and n are shown. If line l is mapped to line m and line m is mapped to line n,

We can see line is the original line is l which is first mapped into line m then into line n, so, we can say line is mapped to n.

Hence, Line l was translated down 8 units, is true for the transformation that took place.

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to be honest ion even know

Answer: 200 Meters

Step-by-step explanation:

Answer:

64 times

Step-by-step explanation:

Multiply 0.4, the chance of getting tails, which 160, the amount of times you flip the coin, and you get 64. This is reasonable, because the probability of getting heads is 0.6, and if you flip the coin 160 times, you will get heads 96 times. Hope this helped :)

The additional weeks, w, will it take for their total distance run to be equal is 7 weeks.

From the information, Laura has already

run 36 miles and begins running 21 miles per week. This will be 36 + 21w.

Kirk has run 64 miles and runs 17 miles per week. This will be 64 + 17w

where w = number of weeks

This will be equated as:

36 + 21w = 64 + 17w

Collect like terms

21w - 17w = 64 - 36

4w = 28

Divide

w = 28/4

w = 7

It'll take 7 weeks.

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In order to estimate the mean per capita income at the 90% level of confidence with an error of at most $0.42. The sample size would be 85

Information form the question

the mean income is $28

the standard deviation is known to be $5.5

the mean per capita income at the 90% level of confidence

an error of at most $0.42

This is given as from margin of error:

This is the term refers to the minimum error that is to be allowed

Margin of error, E = Zc * √(SD²/n)

n = sample size

n = SD x (Zc/E)²

SD = standard deviation

Zc = would be the critical value at 90 percent level of confidence = 1.65

plugging in the values

n = 5.5 x (1.65/0.42)²

n = 0.25 x 15.4337

n = 84.8854

n = 85

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The transformation that converts f(x) to g(x), f(x) is contraction by 5 units

Transformations are mathematical operations which change the shape and orientation of an object or function.

The types of transformations include

Since we have the graph of f(x) = -10(x - 2)² into the graph of g(x)= -2(x - 2)².

We see that f(x) = -10(x - 2)²

= 5 × -2(x - 2)²

= 5g(x)

Since f(x) = 5g(x)

⇒g(x) = f(x)/5

So, we converts f(x) to g(x), f(x) is contraction by 5 units

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Answer:

289560

Step-by-step explanation:

Answer:

y=-2x-2

Step-by-step explanation:

If the endpoints of the line segment are (7,4) and (-9,-4), that means that the slope will be:

[tex]\frac{-4-4}{-9-7}[/tex] = [tex]\frac{-8}{-16}[/tex]=[tex]\frac{1}{2}[/tex]. For the perpendicular bisector to be perpendicular to the line, it must have a perpendicular slope, which will be the negative reciprocal of [tex]\frac{1}{2}[/tex], which is -[tex]2[/tex]. The perpendicular bisector must also go through the midpoint of the segment, which is (-1, 0) because -1 is the average of 7 and -9 and 0 is the average of 4 and -4.

Now we find the equation!

y=mx+b. Plug in -[tex]2[/tex]     as the "m", or slope:

y=-[tex]2[/tex]x+b

Now, plug in the point (-1, 0):

0=-[tex]2[/tex]*-1+b

0=[tex]2[/tex]+b

b=-[tex]2[/tex]

So, we have m=-[tex]2[/tex] and b=-[tex]2[/tex] and we can form our equation!

y=-[tex]2[/tex]x-[tex]2[/tex]

Hope this helps!! :D