Mathematics College

The expression 3 + 2(x - 5)2
models the height of a ball after X seconds. The constant in the simplified form of the expression represents the initial height, in feet, of the ball. What is the initial height of the ball?
A. -30 feet
B. -5 feet
C. 3 feet
D. 53 feet

Answers

Answer 1

9514 1404 393

Answer:

D. 53 feet

Step-by-step explanation:

The value of the expression when x=0 is ...

3 + 2(-5)² = 3 + 2(25) = 3 +50 = 53

The initial height of the ball is 53 feet.

Related Questions

6 pounds of sugar for $3 how much per pound

Answers

Answer:

$0.5

Step-by-step explanation:

3/6 = 0.5

Help me with this question

Answers

Answer:

72m^2

Step-by-step explanation:

first split the figure into 2 parts, the square and the triangle. The area of the sqaure is base times height or 6m times 10m which gives you 60m^2. For the triangle area you multiply base times height and divide it by 2, the base is 6m and the height is 4m so it will be 4x6 divided by 2 which gives you 12m^2. Lastly you add them both up, 60m^2 +12m^2 and you get 72m^2.

8.82 is 21% of what number?

Answers

Answer:

42 I think, i could be wrong

Step-by-step explanation:

it’s 42 because you have to take 8.82 and divide it into 0.21 (8.82/0.21) and you’ll get 42!

70×2+20×30+19
are you okk guys❤

Answers

Answer: ...BEDMAS..

steps,..

70×2+20×30+19

140+600+19

740+19

=759

.... and I'm not all fine lol...wau guy??

JKLM is a rectangle. Find the value of x.
Help me fast please

Answers

Answer:

x = 10

Step-by-step explanation:

3x + 38 = 7x - 2

subtract 3x from both sides ogf the equation:

38 = 4x - 2

add 2 to each side:

40 = 4x

divide both sides by 4:

x = 10

A company has a new process for manufacturing large artificial sapphires. In a trial run, 37 sapphires are produced. The mean weight for these 37 gems is 6.75 carats, and the sample standard deviation is 0.33 carat. Obtain a 95% confidence interval for the true mean weight of all sapphires produced by the new process. Interpret your results in the context of the problem. State the margin of er

Answers

Answer:

The margin of error is of 0.11 carats.

The 95% confidence interval for the true mean weight of all sapphires produced by the new process is between 6.64 and 6.86 carats. The interpretation is that we are 95% sure that the true weight of all sapphires produced by the company using the new process is between these two values.

Step-by-step explanation:

We have the standard deviation for the sample, which means that we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 37 - 1 = 36

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 36 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.05}{2} = 0.975[/tex]. So we have T = 2.0281

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0281\frac{0.33}{\sqrt{37}} = 0.11[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error is of 0.11 carats.

The lower end of the interval is the sample mean subtracted by M. So it is 6.75 - 0.11 = 6.64 carats

The upper end of the interval is the sample mean added to M. So it is 6.75 + 0.11 = 6.86 carats.

Can you help me solve this it’s pretty easy but for you guys

Answers

Answer:

x - 81 = 321

adding 81 on both sides

x-81+81= 321+81

x= 402

Answer:

402

Step-by-step explanation:

81+321=402-321=81 n=402

A ship takes 5 hours to sail 75 kilometrs. What is its
speed?

Answers

Question:-

A ship takes 5 hours to sail 75 kilometres. What is its speed ?

Answer:-

Given:-

Distance = 75 kilometres.

Time = 5 hours.

To Find:-

It's speed.

Solution:-

We know,

[tex] { \boxed{\bf{\rm \red {Speed \: = \frac{Distance}{Time}}}}} [/tex]

So, Speed = [tex] \bf \frac{75}{5} [/tex]

Speed = [tex] \bf 15 [/tex]

It's speed is 15 km/hr. [Answer]

Step-by-step explanation:

[tex] \: \: here \: is \: your \: solution \\ \\ distance \: covered \: by \: ship \: = 75km \\ \\ time \: taken \: by \: by \: ship \: = 5hrs \\ \\ speed \: of \: ship = distance \div time \\ speed \: = 75/5 \\ \\ speed \: = 15km/hr \\ \\ hope \: it \: helps[/tex]

Could someone please do this for me ASAP this is for math!

Answers

Answer:

Step-by-step explanation:

[tex]x^{2}[/tex]+x-20

use FOIL

(x - 4)(x+5)

x-4=0

x+5=0

4 and negative 5 are the factors

Which statement is true about

Answers

Answer:

About what and give me the picture

I need the surface area again plz

Answers

Answer:

Step-by-step explanation:

A=2(wl+hl+hw)

l -Length

w-Width

h-Height

A=2(wl+hl+hw)=2·(1·2+4.5·2+4.5·1)=31

Can someone tel me which ones i need to put? I need to put 2.

Answers

Answer:

B C E are the three crt options

Step-by-step explanation:

An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division. The structure of an expression is: Expression = (Number, Math Operator, Number)

Answer:

A and C are equations

Step-by-step explanation:

B and E are inequalities

D is an expression

f(x)=2x^ 2 +9x Find f(10)

Answers

f(10) basically means placing 10 anywhere an x is making the equation :
f(10) = 2*10^2 + 9*10
= 2*100 + 90
= 200 + 90
= 290

Barbara was asked to create a set of numbers that contained only natural numbers. Which of the sets
does NOT contain only natural numbers?
24
А
{31, 15, 23, 4, 300,
20
B
19, 100, 4, 12, 6,
c {5, 3, 8, 14, 0,
1, 21
D 22, 7, 9, 11, 28, 4.0)

Answers

Answer:

Step-by-s:

Ya que el 4.0 no es un número natural, es un número decimal (Z - número entero).

Since 4.0 is not a natural number, it is a decimal number (Z - whole number).

What is the slope of the line shown below?

(9, 1) and (-3, -7

Answers

Answer:

The slope is 4

Step-by-step explanation:

I think it's right

if anyone could help me it would helpful :)!!!

Answers

Answer:

the answer is 74 like the other corner

Answer: C. 74

Step-by-step explanation: This is an isosceles trapezoid based on the diagram showing that the two legs are equal. By theorem 53 which states that "Base angles of an isosceles trapezoid are equal." angle TWV would have to be equal to angle UTW.

DF and GI are parallel lines.

Which angles are alternate interior angles?

Answers

Answer:

your answer is no. d . Because of alternate <

Find area using law of sines

Answers

Answer:

Step-by-step explanation:

HOPE THIS HELPED!!! I TRIED AND REMEMBERED

The multiplicative inverse of -2¹/₇ is

Answers

The answer is -7/15.

The multiplicative inverse of a number is the reciprocal of that number. Since
-2 1/7 *(-7/15)= 1, then -7/15 is the multiplicative inverse of -2 1/7.

7th grade math

The sales tax on an item is 6.5%. The total cost of the item is the price, p, plus the tax. Which expression represents the total cost?
A. 0.935p B. p + 1.065p C. 1.065p D. p + 6.5p

Answers

Answer:

Step-by-step explanation:

You add tax to the price not multiply

Answer:1.065p

Step-by-step explanation:

What is the solution to Three-fourths a greater-than negative 16?
a greater-than negative 21 and one-third
a less-than negative 21 and one-third
a greater-than 21 and one-third
a less-than 21 and one-third

Answers

Answer:

Step-by-step explanation:

Either A or D, this question made me lose braincells, you should get a new teacher

Answer:

Step-by-step explanation:

I did the test :)

What is the area of this green rectangle? | 7 in. 3 in.

Answers

It would be 21 in. To find this, just multiply the two numbers. Hope this helps!

Answer:

I think 21 in.

7 x 3 = 21

Hope this helps.

what is the surface area

Answers

Answer:

Step-by-step explanation:

total surface area=3×(1/2×10×6.7)+1/2×10×8.7=3×(33.5)+43.5

=100.5+43.5

=144

the answer is 144 :) sorry if i’m wrong btw

2. Julio has 1/6 pound of candy. He puts the candy
into 4 bags. Write an expression that represents the
fraction.

Answers

Answer:

4/6

Step-by-step explanation:

(1/6 times 4)make 4 into a fraction and that is 4/1 multyply the numerator and denominator 6x1=6 so 6 is the denominator and 4x1 is 4 so 4 is the numerator so its 4/6

The expression that represents the fraction is 1/6 * 1/4 or 1/24

How to determine the fraction?

The given parameters are:

Amount of candy = 1/6 pounds

Number of bags = 4

The expression that represents the amount in each bag is:

Amount = Amount of candy/Number of bags

This give

Amount = 1/6 / 4

Express as product

Amount = 1/6 * 1/4

Evaluate

Amount = 1/24

Hence, the expression that represents the fraction is 1/6 * 1/4 or 1/24

Answers

92 square feet is the answer

For every 2 hours, approximately $1,186 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?

Answers

I believe that the answer is $426,960.

I hope this helps!

Write 3 1/9 as an improper fraction.

Answers

The answer is 319. 3 1/19 is = to 319

The improper fraction of the given mixed fraction is [tex]3\dfrac{1}{9}[/tex].

When the numerator exceeds or is equal to the denominator, the fraction is said to be inappropriate. 5/2 and 8/5, for instance, are incorrect fractions. The numerator and denominator are the two components of any fraction.

The given fraction is:

[tex]3\dfrac{1}{9}[/tex]

To convert this fraction into an improper fraction,

Multiply 3 with 9 then add it to the numerator,

[tex]\dfrac{3\times 9 + 1}{9} \\\\\dfrac{27 + 1}{9}\\\\ \dfrac{28}{9}[/tex]

Therefore,

[tex]3\dfrac{1}{9}[/tex] [tex]= \dfrac{28}{9}[/tex]

Hence,

The improper fraction of [tex]3\dfrac{1}{9}[/tex] is [tex]\dfrac{28}{9}[/tex].

To learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

She mixes nuts, raisins and oats in the ratio 3:2:5 by weight. Babajan uses 60 grams of nuts. Work out the weight of raisins she uses to make the breakfast cereal

Answers

Answer:

weight of raisins : 40

Step-by-step explanation:

nuts : raisins : oats

3:2:5= 60: ? : ?

60÷3 = 20

raisins : 2×20 = 40

please help me I've been asking for this question for a while and I keep getting those spam messages please help me 15pts
How would you go about finding the confidence interval of say 90% or 95% for any given distribution scenario?

Answers

Answer:

You'd want to divide.

Step-by-step explanation:

Let's say you got a 9/10 on a test.

You'd do 9 divided by 100 and multiply it by 10 to get 90%

That is how you solve a percentage problem

FORMAT IN LESS DETAILED EXPLANATION:

9/100x10=90%

Nine divided by one-hundred times ten equals ninety percent

A recipe calls for 3 cups of sugar for every 5 cups of water. How many cups of sugar are needed for 25 cups of water?

Answers

The answer is 15 cups

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The expression 3 + 2(x - 5)2models the height of a ball after X seconds. The constant in the simplified form of the expression represents the initial height, in feet, of the ball. What is the initial height of the ball? A. -30 feetB. -5 feetC. 3 feetD. 53 feet​

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The expression 3 + 2(x - 5)2
models the height of a ball after X seconds. The constant in the simplified form of the expression represents the initial height, in feet, of the ball. What is the initial height of the ball?
A. -30 feet
B. -5 feet
C. 3 feet
D. 53 feet