(sat prep) find the value of x

Answer:

Step-by-step explanation:

[tex]d=vt-\frac{at^2}{2} \\ \\ a=\frac{2(d-vt)}{t^2} \\ \\ a=\frac{2(500-300(20)}{20^2} \\ \\ a=-27.5 \frac{m}{s^2}[/tex]

The acceleration of the tram is 1 m/s^2.

To find the acceleration of the tram, we can use the following equation:

acceleration (a) = (change in velocity) / (time taken)

First, let's convert the initial velocity to m/s:

Initial velocity = 300 m/minute

To convert to m/s, we need to divide by 60 (since there are 60 seconds in a minute):

Initial velocity = 300 m/minute ÷ 60 seconds/minute = 5 m/s

Now, let's find the final velocity. The tram travels a distance of 0.5 km in 20 seconds.

Distance traveled = 0.5 km = 500 m (since 1 km = 1000 m)

Time taken = 20 seconds

Now, we can find the final velocity (v) using the formula:

v = (change in distance) / (time taken)

v = 500 m / 20 seconds = 25 m/s

Next, we can find the change in velocity:

change in velocity = final velocity - initial velocity

change in velocity = 25 m/s - 5 m/s = 20 m/s

Finally, we can calculate the acceleration:

acceleration (a) = (change in velocity) / (time taken)

acceleration (a) = 20 m/s / 20 seconds = 1 m/s^2

So, the acceleration of the tram is 1 m/s^2.

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Answer:

24.5

Step-by-step explanation:

24.5 + 24.5 = 49

Answer:

a. [tex]s^2 - \frac{1}{4}s^2\pi[/tex]

b. [tex]100-25\pi[/tex]

Step-by-step explanation:

The shaded area is the area of the square minus the area of the circle, so it is [tex]s^2 - \frac{1}{4}s^2\pi[/tex], because s is the diameter of the circle. Filling in s = 10 gives us that the shaded area equals [tex]100-25\pi[/tex].

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

:) Have a good day!

Answer:

18

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

as x goes up one y goes up 5

slope is change in y over changes in x

5/1=5

Answer: $‭13,925‬

Step-by-step explanation:

Tommy makes $200,000 per year.

He then has to pay taxes of 10% for Federal Income Tax, 4.2% for Social Security Tax, 1.75% for Medicare Tax, and 0.5% for Local Taxes.

His total taxes are therefore:

= 10% + 4.2% + 1.75% + 0.5%

= 16.45%

Taxes in dollars are:

= Monthly salary * taxes

= (200,000/12 months) * 16.45%

= $2,741.67

Monthly take home pay:

= Monthly salary - monthly tax

= 200,000 / 12 months - 2,741.67

= 16,666.67 - 2,741.67

= $‭13,925‬

Answer:

2.83 units diagonally

2 units horizontally and 2 units vertically

Step-by-step explanation:

x position difference      -2-(-4)=2

y position difference       7-5=2

2 units horizontally and 2 units vertically on a graph

2^2+2^2=8

sq rt 8=2.83 units

Answer:

Food is what fuels our bodies. Food is what keeps us alive, but when food is not kept fresh and safe, it can cause us to get sick or even die from food poisoning.

Answer:

b) 22

Step-by-step explanation:

180 = (4x+12) + (3x+14)

180 = 7x + 26

7x = 154

x=22

Answer:

24

Step-by-step explanation:

Answer:

(a)

$24.10,

$18.20,

$15.25,

$9.35,

$0.50,

(b)

b=30-2.95g

Step-by-step explanation:

Answer: a) 2:24.10 4:18.20 5:15.25 7:9.35 10:.50

b) b=30-2.95g

Answer:

Can you show more of the question?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Basically, division. divide 85.60 by 4 in order to get each hour.

Answer:1/3

Step-by-step explanation:

Answer:

1/3 or 0.3333

Step-by-step explanation:

[tex]\frac{4}{x} =12[/tex]

[tex]4 = 12x[/tex]

[tex]x= \frac{4}{12} = \frac{1}{3}[/tex]

Four divided by 1/3 equals 12.

Answer:

4t/9 + 18

Step-by-step explanation:

Answer:

(a).4.36 mph

(b) No

Step-by-step explanation:

We are given that

Jan covered distance,s1 =2 miles

Speed of Jan, a=3 mph

s2=1 mile

b=8mph

a.

We have to find the Jan' s average speed for the entire trip.

Average speed =[tex]\frac{2ab}{a+b}[/tex]

Using the formula

Average speed=[tex]\frac{2(3)(8)}{3+8}=4.36mph[/tex]

b.

Average speed with two speed

Average of Jan’s two speeds

[tex]=\frac{a+b}{2}[/tex]

=[tex]\frac{3+8}{2}=5.5 mph[/tex]

[tex]4.36\neq 5.5[/tex]

Hence, the average speed in part (a) is not equal to the average of Jan’s two speeds.

Answer:

The height (h) of the ball is termed as the dependent variable and the time (t) is called the independent variable.

Step-by-step explanation:

We know that the function

y = f(x)

where y is a function of x.

Here:

Given the function of the height of the ball as a function of time is modeled by the equation

h(t) = -16t² + 90t + 5

As the height of the ball depends upon the time as the height of the ball is a function of time.

Thus, the height (h) of the ball is termed as the dependent variable and the time (t) is called the independent variable.

Answer:

c must be -4

Step-by-step explanation:

x^2 - 5x + c = 0 is a quadratic whose coefficients are a = 1, b = -5 and c = c.

The discriminant is b^2 - 4ac, and we know that b^2 - 4ac = 41.

Substituting -5 for b and 1 for a, we get:

(-b)^2 - 4(1)(c) = 41, or 25 - 4c = 41, or -4c = 16.  Thus, c must be -4, and the quadratic is

x^2 - 5x - 4

Answer:

1ft≤h≤25ft

Step-by-step explanation:

The area of a rectangle is expressed as;

Area = Length * height

A = Lh

If the area of a rectangle is at most 400 square centimeter, this is expressed as;

A ≤400

≤ means at most i.e it can not be greater than 400

Lh ≤ 400

Given L = 16

16h ≤ 400

h ≤ 400/16

h ≤ 25

Hence the possible values of the height are with the range 1ft≤h≤25ft since the dimension can not be negative

Answer: D is correct

Step-by-step explanation: Got a 100% on my test

The translation of triangle A is (d) six units right

Translation involves changing the position of a shape

From the question, we understand that:

This means that, triangle A was translated by 6 units to the right

Hence, the true statement is (d)

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Answer:

n(x)=4x+15;n(x)=7

n(7)=4(7)+15

=》n(7)=28+15

28+15=43

n(7)=43

Answer:

G

Step-by-step explanation:

if you glance at -2 and go up positive three

Answer:it is non proportional

Step-by-step explanation:

Answer:

the answer is C:

[tex]2 \times 10 { - }^{4} [/tex]

Step-by-step explanation:

I hope this helps! ^^

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Answer:

V = 567 yd³

Step-by-step explanation:

V = [tex]\frac{1}{2}a c h\\[/tex]

V = [tex]\frac{1}{2}(9)(6)(21)\\[/tex]

V = 567 yd³

Answer:

K

Step-by-step explanation:

K

Hope that helps!

If x is an odd integer and 2y is an even integer then K. 2y  x is odd.

Odd + Odd = Even.

Odd + Even = Even + Odd = )dd.

Even + Even = Even.

Odd × Odd = Even.

Even × Even = Even.

Odd × Even = Even × Odd = Odd.

Odd ÷ Odd = Even.

Even ÷ Odd = Even Or Odd.

Odd ÷ Even = Fraction/Decimal.

Given, x is an odd integer and 2y is an even integer.

So, y can be even or odd we are not sure.

Therefore, the only option that must be true is 2y + x is odd.

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Answers:

11. b. 4x + 2

12. c. 25(x + 2)

13. b. 8gh

14. a. 10(5x + 1)

15. a. 2x + 2

16. c. 4 units by (2x - 3)

17. c. 6(x + 10)

18. c. 5r + 35

19. b. Identity Property of Addition

Brainliests are always appreciated but not required :)

Answer:

11.

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

x+3x+4-2

4x+2

12.

25x+50

25(x+2)

13.

16gh, 56gh

8gh

14.

50x+10

10(5x+1)

15.

(14x-2)-(12x-4)

14x-2-12x+4

2x+2

16.

8x-12

4(2x-3)

17.

6x+60

6(x+10)

18.

5(r+7)

5r+35

19.

This demonstrates the Identity Property of Addition, which basically states that adding zero to a number does not change the number.

Let me know if this helps!