a loaded truck is traveling 20 mph faster than a freight train. In the time it takes the train to travel 160 miles, the truck travels 240 miles. find the speed of the truck

Answer:

5.5 seconds

Step-by-step explanation:

The function that gives the height of the object after t seconds falling is:

h = -16t^2 + 484.

To find the time when the object reaches the ground, we just need to use the value of h = 0 in the equation, and then find the value of t:

0 = -16t^2 + 484.

16t^2 = 484

t^2 = 30.25

t = 5.5 seconds

So the object will reach the ground after 5.5 seconds

Answer:

5.5 sec

Step-by-step explanation:

The height h of the object after t seconds is given by the equation

h =- 16 t²+ 484

The height would be zero when the object hits the ground. therefore equating the above equation to zero

0 = - 16 t²+ 484 (solving for t)

16 t²= 484

t² = 484/16

t²= 30.25

taking square root on B.S

t= 5.5 sec

Answer:

5.9

Step-by-step explanation:

The absolute value of a number is its distance from zero on the number line, without considering direction. Hence, the absolute value of 5.9 is 5.9 itself.

The absolute value of a number is its distance from zero on the number line, regardless of direction. In other words, it's the number without any sign (either positive or negative).

As for your question, the absolute value of 5.9 is simply 5.9.

That's because 5.9 is already a positive number, and its distance from zero is 5.9 units on the number line. Absolute values are always non-negative (0 or positive), so the absolute value of any positive number is the number itself.

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Answer:

15

Step-by-step explanation:

Answer

64%

Step-by-step explanation:

cross multiply

16/25 = x/100

16 X 100 = 1600

25x=1600

/25     /25

that = 64 which is 64%

16 is 64.0% of 25.

To determine what percent 16 is of 25, follow these steps:

Identify the given values:

• The part (numerator): 16

• The whole (denominator): 25

Set up the percentage formula:
[tex]\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100[/tex]

Substitute the given values into the formula:
[tex]\text{Percentage} = \left(\frac{16}{25}\right) \times 100[/tex]

Perform the calculation:
[tex]\text{Percentage} = \left(0.64\right) \times 100 = 64.0[/tex]

Answer: She will have 200 milliliters of lemonade left after filling the bottles.

Step-by-step explanation:

Hi, since 1 liter = 1000 milliliters

For 16.3 liters: 16.3 x 1000 = 16,300 milliliters (1 batch)

She made 2 batches.

16,300ml x2 = 36,600 milliliters

We have the total amount of lemonade in two batches; we have to divide it by the capacity of each bottle (400 ml), to calculate how many bottles she can fill.

36,600 milliliters / 400 milliliters = 81.5 bottles

She can fill 81 bottles and she will have a leftover of half a bottle.

Since each bottle is 400 milliliters, half of it:

400/2 = 200 milliliters

She will have 200 milliliters of lemonade left after filling the bottles.

Answer:

we have been given that x=-9 and x=9 then putting two values of x in the given equation we can find the value of z. I've got the value of z as 22

Step-by-step explanation:

The given equation is :

x^2+z=103

If we put x as (-9) ,

(-9)^2+z = 103

or, 81 +z = 103

or, z= 103-81

or,z=22 (Answer)

Now , again if we put x as 9,

9^2+z=103

or, 81+z=103

or,z=103-81

or,z=22 (Answer)

THEREFORE THE VALUE OF Z IS 22

Answer:

The 2 numbers are -12.5 and 17.5.

Step-by-step explanation:

Let 1 number be x then  x - y  = 30 where the other number is y.

y = x - 30 so the sum is:

x - 30 + x = 5

2x = 35

x = 17.5

and y = 17.5 - 30 = -12.5.

Answer:

17.5 and -12.5

Step-by-step explanation:

Answer:

ratio = 4/3 = 1.3333

Step-by-step explanation:

If Jacob makes 20 baskets for every 35 times he shoots the ball, that means he misses 35 - 20 = 15 shoots for every 35 shoots.

So, to calculate the ratio of baskets he makes to baskets he misses, we just need to divide these values:

baskets he makes = 20 for every 35

baskets he misses = 15 for every 35

ratio = 20 / 15 = 4 / 3 = 1.3333

In order to confirm Andrea's claim that 20% of U.S. states have populations of 10 million or more, we'd need to refer to updated population census data. The number of states that comply to this number would validate or invalidate her claim.

To determine whether Andrea's claim that 20% of the states have populations of at least 10 million people is correct, we would need to refer to updated census data. As of the most recent U.S. census, there are 50 states in the United States. If 20% of them had populations of at least 10 million, that would mean that 10 states meet this criteria. Checking the census data, we can see whether this number is accurate or not and thus confirm or deny Andrea's claim.

For example, if only 8 states had a population of over 10 million, Andrea's claim would be incorrect. On the other hand, if 15 states had a population of over 10 million, her claim would also be incorrect, but it would be an underestimation rather than an overestimation. Therefore, without specific data, we cannot unequivocally say whether Andrea's claim is correct.

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Answer:

mrs smith drove 50 miles and mr stein drove 50 mile

Step-by-step explanation:

True.

I'm not sure if it's right or not

Answer:

True

Step-by-step explanation:

I am not sure if it's right or not

Since all sectors have the same area, the spinner is equaly likely to land on each of them. There are:

Obviously, this implies that there are 11 sectors in total.

So, the spinner will land on a certain color with probability

[tex]p=\dfrac{\text{\# of sectors for that color}}{\text{11}}[/tex]

Use this formula to deduce the probability of green.

Finally, you can multiply the probability of red by 11 to get the expected number of reds in 11 spins.

Answer:

C Option is the right one. (•‿•)(•‿•)(•‿•)(•‿•)

Answer:

Its B

Step-by-step explanation:

Distribute and do not forget the minus in the middle and the 4 is negative

Answer:

The answer is : 73.3% (to 1 decimal place)

Step-by-step explanation:

The question is asking us to convert the proportion of a certain amount into percentage, and this is done as shown below:

vacation cost = $2252

amount charged = $1650

%of vacation cost that was charged = X%

∴ X% of 2252 = 1650

[tex]\frac{X}{100}[/tex] × 2252 = 1652

[tex]\frac{2252X}{100} =1650[/tex]

2252X = 165000 (dividing both sides by 2252)

[tex]\frac{2252X}{2252}=\frac{165000}{2252}[/tex]

∴ X = 165000 ÷ 2252

X = 73.3%

The algebraic expression -8z + 1 consists of terms (-8z and 1), a variable (z), a coefficient (-8), and a constant (1), enriching the understanding of algebraic expressions.

The question identify the parts of the following algebraic expression: -8z + 1 is focused on dissecting an algebraic term to its fundamental components. The expression – 8z + 1 has several parts to be identified:

The identification of each part of an algebraic expression helps in understanding and solving mathematical equations effectively.

The algebraic expression -8z + [tex]\frac{1}{2}[/tex]y - 7.7 has -

In the algebraic expression -8z + [tex]\frac{1}{2}[/tex]y - 7.7, we can identify the terms, variables, coefficients, and constants as follows:

Understanding these parts is essential for simplifying expressions and solving algebraic equations effectively.

Complete question:

Identify the parts of the following algebraic expression.

-8z + [tex]\frac{1}{2}[/tex]y - 7.7

Answer:

n = 8

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

Given

[tex](9)^{2n-1}[/tex] = [tex](27)^{n+2}[/tex], then

[tex](3^2)^{2n-1}[/tex] = [tex](3^3)^{n+2}[/tex]

[tex]3^{4n-2}[/tex] = [tex]3^{3n+6}[/tex]

Since the bases on both sides are equal, both 3 then equate the exponents

4n - 2 = 3n + 6 ( subtract 3n from both sides )

n - 2 = 6 ( add 2 to both sides )

n = 8

Answer:

n = 8

Step-by-step explanation:

9²ⁿ⁻¹ = 27ⁿ⁺²

(3²)²ⁿ⁻¹ = (3³)ⁿ⁺²

3⁴ⁿ⁻² = 3³ⁿ⁺⁶

4n - 2 = 3n + 6

4n - 3n = 6 + 2

n = 8

Answer:

Autonomous Expenditure ; Equilibrium expenditure ; Real GDP

Step-by-step explanation:

A multiplier is the amount by which a change in any component of​ Autonomous Expenditure is magnified or multiplied to determine the change in​ Equilibrium Expenditure and​ Real GDP that it generates.

Multiplier = Change in Equilibrium Expenditure of Real GDP

                      Change in autonomous expenditures

                  (government expenditure, autonomous taxes)

Answer:

x = 3

y = 14

Step-by-step explanation:

VR = TS   VT = RS        (Rectangle)

y = x + 11

y - 3x = x + 2

y = 4x + 2

x + 11 = 4x + 2

3x = 9

x = 3

y = 14

Answer:

B likely

Step-by-step explanation:

the probability is 1/2 because there are 12 coins and 6 of them are nickels

Answer:

Division, you can divide the total amount of total milliliters buy the number of milliliters dropped every minute. 1850/74= 25. So m= 25. Sarah left the room for 25 minutes

Step-by-step explanation:

pls mark me brainliest

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 118

p = 118/200 = 0.59

q = 1 - 0.59 = 0.41

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.98 = 0.02

α/2 = 0.02/2 = 0.01

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.01 = 0.9

The z score corresponding to the area on the z table is 2.326. Thus, confidence level of 98% is 2.326

Therefore, the 98% confidence interval is

0.59 ± 2.326√(0.59)(0.41)/200

= 0.59 ± 0.08

The lower boundary is

0.59 - 0.08 = 0.51

The upper boundary is

0.59 + 0.08 = 0.67

The correct option is

B. We are 98​% confident that the true proportion of all students receiving financial aid is between 0. 51 and 0. 67

Jen's speed was 1/25 miles per minute or 2.4 miles per hour. This was found by dividing the distance travelled by the time it took.

To find Jen's speed, we need to divide the distance she rode by the time it took her. In this case, Jen rode 1/5 of a mile in 5 minutes. To get her speed in miles per minute, we perform the division:

1/5 mile ÷ 5 minutes = 1/25 miles per minute

This means that Jen's speed was 1/25 miles per minute. You could also convert this to miles per hour if you prefer, by multiplying the result by 60 (since there are 60 minutes in an hour). In that case:

1/25 miles per minute x 60 minutes/hour = 2.4 miles/hour.

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Jen's speed was 1/25 miles per minute, calculated by dividing the distance traveled, 1/5 mile, by the time taken, 5 minutes.

To determine Jen's speed, we would divide the distance she traveled by the time it took her to get there. Jen rode her bike for 1/5 of a mile, and it took her 5 minutes. To find her speed in miles per minute, we perform the following calculation:

Speed = Distance ÷ Time

Speed = (1/5) mile ÷ 5 minutes = 1/5 ÷ 1/5 = 1/25 miles per minute.

We don't need to convert the units since we are asked to provide the answer as a proper fraction. Therefore, Jen's speed was 1/25 miles per minute.

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Answer:

Step-by-step explanation:

hello :

5x²+8x-4  quadratic expression when : a = 5  and  b=8  and  c= -4

∆ = b²-4ac        ∆ = 8²-4(5)(-4) = 64 +80 = 144 = 12²

X1 = ( -b -√∆)/2a       X1 = (-8-12)/10 = -20/10= -2

X2 =(-b+√∆)/2a       X2 = (-8+12)/10 = 4/10 = 2/5

us factorisation : a(X-X1)(X-X2)

5x²+8x-4= 5(x+2)(x-2/5) = (x+2)(5x-2)

you can verify ;  (x+2)(5x-2) = 5x²-2x+10x-4 = 5x²+8x-4

The trinomial [tex]5x^2+8x-4[/tex] can be factored into two binomials (5x + 4) and (x - 1), which when multiplied together, produce the original trinomial.

To factor the trinomial [tex]5x^2+8x-4[/tex], we are looking for two binomials that when multiplied together will give us this trinomial.

The process of factoring involves reversing the distributive law and turning the expression back into factors (multiples). To do this, we look for two numbers that multiply to give the product of the coefficient of x² term (which is 5) and the constant term (which is -4), and that also add up to give the coefficient of the x term (which is 8).

Let's find the factors:

Factors of 5x² are 5x and x.

Factors of -4 that add up to +8 when multiplied by the corresponding factors of 5 can be 4 and -1, since (5x)(-1) + (x)(4) = -5x + 4x = -1x.

Therefore, the binomials we are looking for are (5x + 4) and (x - 1).

When you multiply (5x + 4) and (x - 1) together, it will result in the original trinomial 5x²+8x-4.

The area of the pupil can be found using the formula for the area of a circle (Area = π × r²). When you substitute the given radius (4mm), the pupil's area comes out to be approximately 50.27 square millimeters.

To calculate the area of a circle which in this case is the pupil, you need to use the formula, Area = π × r², where r is the radius of the circle. Here, the radius (r) of the pupil is 4 millimeters. Substituting r = 4 mm in the formula we get:

Area = π × (4 mm)²

Area = π × 16 mm²

So, the area of the pupil is 16π mm², which is about 50.27 mm² when calculated. Please note that the unit of the area is square millimeters since we are calculating the area.

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The pupil's area can be calculated using the formula A = πr^2, where r is the pupil's radius, the area is 50.27 square millimeters.

The area of a circle can be calculated using the formula A = πr2, where A is the area and r is the radius of the circle. In this case, the pupil's radius is given as 4 millimeters, so we can substitute this value into the formula.

A = π(4 mm)2 = π16 mm2

Therefore, the pupil's area is approximately 50.27 square millimeters.

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Answer:

31 inches.  Add all the sides together.  The height is not needed.  6.5+13.5+4+7=31 inches.

Step-by-step explanation:

Answer:

Perimeter = 13.5 + 6.5 + 4 + 7

= 31 inches

Step-by-step explanation:

Answer:

to draw a box plot? The median, mean and standard deviation. The minimum, maximum, median, first and third quartiles. The median and interquartile range.

Step-by-step explanation:

Answer:

Step-by-step explanation:

C=pi (d)      circumference = pi (3.14) times the diameter which is 10, because the radius 5 and diameter is twice the radius..........

you can also use Formula C=2pi r which will give you the same answer.

31.4 cm for orange circle

the diameter (all the way through the center of the circle) for blue circle would be 20

C=pi (d)   3.14 times 20=  62.8 cm for blue circle

The circumferences of both circles to the nearest tenth is 31.4 cm for the orange circle and 62.8 cm for the blue circle.

Since the diameter is 10 so the radius is 5

Now for the orange, it should be

= 2(3.14) (5)

= 31.4 cm

And, for the blue circle, it should be

= 2(3.14) (20)

= 62.8

Hence, The circumferences of both circles to the nearest tenth is 31.4 cm for the orange circle and 62.8 cm for the blue circle.

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Answer:

Product (Multiplication) always needs a negative to be negative

Step-by-step explanation: