A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y
=
−
16
x
2
+
170
x
+
61

Answer:

10

Step-by-step explanation:

The bank that pays the highest interest for this 4-year IRA account is Chase Bank.

It should be noted that interest rates simply means the cost of borrowing or the gain from savings.

In this case, Destiny wants to compare interest rates quoted by four local banks for a deposit.

Chase Bank: = 2 1/2% = 2.5%

Jefferson City Trust:l = 1.7%,

Bank of America = 2.12%

First State Bank = 1 3/4% = 1.75%

Therefore, the highest is Chase Bank as it gives 2.5%.

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Answer:

The coordinates for the outlier are (14,13)

I believe it is a positive correlation

13.6 hours of sunshine would be my guess but I'm not 100% sure

I believe the last answer is A.

A = 10% alcohol solution

B = 55% alcohol solution

we know we have 75 mL of A, that means A itself since it's 10% alcohol, really only has 75 * (10/100) = 7.5 mL of alcohol, likewise the B solution has say "x" mL, so alcohol wise it only has "x" * (55/100) = 0.55x, and we have a final mixture we need of say "y" mL at 30% alcohol.

[tex]\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{mL of }}{amount}\\ \cline{2-4}&\\ A&75&0.10&7.5\\ B&x&0.55&0.55x\\ \cline{2-4}&\\ mixture&y&0.30&0.3y \end{array}~\hfill \begin{cases} 75+x=y\\\\ 7.5+0.55x=0.3y \end{cases} \\\\[-0.35em] ~\dotfill[/tex][tex]\stackrel{\textit{using the 1st equation}}{75+x=y}\hspace{12em}\stackrel{\textit{substituting on the 2nd equation}}{7.5+0.55x=0.3(75+x)} \\\\\\ 7.5+0.55x=22.5+0.3x\implies 0.55x=15+0.3x\implies 0.25x=15 \\\\\\ x=\cfrac{15}{0.25}\implies {\Large \begin{array}{llll} x=60 \end{array}} ~mL[/tex]

Answer:

point form : (-2 , -1)

equation form : x = -2 , y = -1

Step-by-step explanation:

( 5x + 9 = -2x - 5)

for y = 5x + 9 (substitute x = -2)

y = 5(-2) + 9 = -1

The maximum number of  14 hours that the crane is Used.

Step: 1 According to the question    

         1500 + (250)h ≤ 5000

          1500 + 250h ≤ 5000

Step: 2

1500 + 250h - 1500 ≤ 5000 - 1500                      

250h ≤ 3500                      

Divide by 250 into both sides

250h/250h ≤ 3500/250                          

h ≤ 14

What is Divide?

Split, in its simplest form, is to divide into two or more equivalent portions, spaces, groups, or divisions. Split, in plain English, is to provide the entire item to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

Divide or division is denoted by the letters, slash (/), or a horizontal line. When dealing with a variety of problems and calculations, these symbols are useful. Also, "x by y" or "x over y" might be interpreted as "x/y" or "x y."

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Answer:

x=27

Step-by-step explanation:

3x-17+2x-5+x+40=180

6x=162

x=27

:]

Answer:

-15, so option 1: -15

Step-by-step explanation:

We know that adding (-9) is the same as substracting 9.

So -6 + (-9) = -6 - 9 = -15

N is the set of natural numbers that are factors of 20={1,2,4,5,10,20}

Factors: A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product. There are two methods of finding factors: multiplication and division.

given in the question that, N is the set of natural numbers that are factors of 20

factors of 20 are = 1,2,4,5,10,20

so the set of factors of 20 is={1,2,4,5,10,20}

4th option is correct

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Answer:

It should be (1, 2, 4 , 5, 10, 20)

For the given number 395,621 round off it to nearest ten thousand is equal to 400,000.

As given in the question,

Given number is equal to :

395,621

Round off the given number 395,621 to nearest ten thousand is given by:

395,621 = 300,000 + 95,621

Ten thousand is represented by 95,621 for the given number

95621 is in between two numbers

90,000< 95,621 < 100,000

95,621 is more closer to 100,000

After rounding it off to the nearest ten thousand

300,000+ 100,000 = 400,000

Therefore, for the given number 395,621 round off it to nearest ten thousand is equal to 400,000.

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Given,

The phrase is,

Six less than the quotient of nine and a number

Consider, the number is x.

The mathematicsl expression of quotient of nine and a number is,

The mathematical expression of six less than is,

Combining both statements then,

Hence, the mathematical expession is 9/x -6.

Answer:

9/x -6

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think it is option E) 7

Step-by-step explanation:

for both costs to be the same, the sum of the fixed and the variable costs must be the same.

so,

49631 + 10.25x = 12209 + 23.75x

37422 = 13.50x

x = 37422 / 13.5 = 2,772

the costs of both methods will be the same for 2,772 produced books.

Answer:

picture

Step-by-step explanation:

everything in the picture

i hope that this helps

Answer:

the answer is -1 .........

The figures in this problem are classified as follows:

The quadrilaterals, parallelograms and rectangles are classified as follows:

Hence, Figure RSTU, as the diagonals are congruent, is classified as all three of these characteristics.

For Figure KLMN, the opposite sides and angles are parallel, hence it is also a parallelogram, while ABCD is only a quadrilateral, as there is not enough information about the sides/angles.

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The boat is moving at 2  miles per hour and current is 4 miles per hour.

In calm water, the boat travels at a 2 mph pace.

4 miles per hour is the current's speed.

One such computation is as follows.

Let a be a representation of the boat's speed.

Allow b to be the current's speed.

20(a + b) = 240, according to equation 1.

Equation 2: 60(a + b)

Equation 3: a + b = 12

Equation 4: a - b Equals 4.

Equation 3 and equation 4 combined

(a + b) + (a - b)= 12+4

2x = 16

a= 16/2

a= 8

Calculate equation 4 minus equation 3

(a + b) - (a-b)= 12-4

2b= 8

b= 8/2

b= 4

As a result, the boat is moving at 2 miles per hour, while the current is moving at 4 miles per hour.

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The constant of proportionality is known as the slope of the line.In the graph constant of proportionality is 1/2

The constant of proportionality is known as the slope of the line.

Constant of proportionality is nothing but slope of a line

The formula for calculating slope is expressed as:

m = y₂-y₁/x₂-x₁

Given the coordinate points (2/3, 3/4 ) and (0,0).

y₂=0, y₁=3/4, x₂=0,x₁ =2/3

substitute the values of  y₂=0, y₁=3/4, x₂=0,x₁ =2/3 in slope formula to get constant of proportionality.

The constant of proportionality is expressed as:

m = 3/4 × 2/3

m =6/12

m=1/2

Hence the constant of proportionality is 1/2

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Answer:

10.069 +420 =430.069

Step-by-step explanation:

first step is to add the number 420 to the number before the decimal so 420+10 which equals to 430

Then

u add the number that comes after the decinal together or if only one of them has a number after the decimal place back that number after youre given answer....

Step-by-step explanation:

hola nose inglés q te valla bien

Answer:

you can start out by writing the number in standard form, which means that it shouldn't exceed to 10 . So in this case, we are writing it as 3.01⋅10−4 instead of 30.1⋅10−3 , hope it helpeful

The essay will need to be in your own words of course, but the basic idea is to replace x with 0 and solve for y to get the y intercept. To get the x intercept, replace y with 0 and solve for x.

Here's an example

2x+5y = 10

Let's find the x intercept

2x+5y = 10

2x+5(0) = 10

2x = 10

x = 5 is the x intercept

Now we'll do the y intercept

2x+5y = 10

2(0)+5y = 10

5y = 10

y = 10/5

y = 2 is the y intercept

The x intercept is the location where the graph crosses the x axis. The y intercept is where the graph crosses the y axis.

The ratio of the length of the car to the length of the model is 15 : 1.

A ratio compares values. Ratio, is a term that is used to compare two or more numbers. in a simpler terms,  a ratio shows how many times one number contains another.

Therefore, the car is 10 feet long and the model is 8 inches long.

Hence, the ratio of the length of the car to the length of the model can be calculated as follows:

10 ft = 120 inches

Hence,

120 inches : 8 inches

let's reduce it by dividing by 8

120 / 8  : 8 / 8

Therefore, the ratio is 15 : 1

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Answer: the model car sold for $34, at a 15% discount.

Step-by-step explanation:

first multiply 5% by 3 days, for a total discount of 15%.

then apply the 15% discount to the $40 car, arriving at a price of $34.

Answer:

The car sold for 34 .

Step-by-step explanation:

.

.

.

.

.

the dimensions of the box is length 20 and width 40inches with maximum volume that can be sent. is V = 16000 inches ^3

length + girth=116 inches

w + 4x= 120

volume=x^2*w

w=120-4x

V=x^2* (120-4x)

for max value, dv/dx=0

dv/dx= 240x-12x^2

240x-12x^2=0

20-x=0

x=20

w=120-4(20)

=40

V=20^2*40==16000inches^3

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The transformed function is:

g(x) = 2*|x + 1| - 6

We start with the original function f(x), and we define the transformed function as g(x).

First, we have a translation of 1 unit to the right, so we have:

g(x) = f(x - 1)

Then, we have a vertical stretch by a factor of 2.

g(x) = 2*f(x - 1)

A translation of 4 units down:

g(x) = 2*f(x - 1) - 4

And we know that f(x) = |x + 2| - 1

Replacing that, we get:

g(x) = 2*( |x -1 + 2| - 1) - 4

g(x) = 2*|x + 1| - 2 - 4

g(x) = 2*|x + 1| - 6

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The food that the former world record holder should eat per day is 0.33kg.

The first step is to determine the ratio of the smallest horse's food per day to the height of the horse. This can be determined by dividing the food eaten per day by the height of the horse.

Division is the operation used in mathematics that is used to determine the quotient of two or more numbers

Ratio of the height and food eaten per day = 0.3 / 42.5

The next step is to multiply the ratio gotten in the previous step by the height of the former world holder

Food the former holder should eat = (0.3 / 42.5) x 46.25 = 0.33 kg

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Answer:

y=-8

just do it

Step-by-step explanation:

have a nice evening

Answer:

lower bound for area = 140.25 square cm

upper bound for perimeter = 54 cm

======================================================

Explanation:

L = length

W = width

The unknown length L is rounded to the nearest cm to get to 17

This means it's in the interval [tex]16.5 \le L < 17.5[/tex]

The smallest it can get is L = 16.5 since that rounds to 17

It doesn't reach 17.5 since that would round to 18. But it could be L = 17.49 or L = 17.499 or L = 17.4999 and so on.

Similarly, if the unknown width W rounds to 9 cm, then its unrounded value is somewhere in the interval [tex]8.5 \le W < 9.5[/tex]

------------------------

Select the lower bounds of L and W to compute the lower bound of the area

length*width = L*W = 16.5*8.5 = 140.25

The smallest area possible is 140.25 square cm.

--------------------------

Use the upper bounds of each L and W to find the upper bound of the perimeter.

P = 2(L+W)

P = 2(17.5 + 9.5)

P = 54

In the previous example, we could have a true area of 140.25 square cm. However in this case, there's no way to reach this upper bound 54 itself. This is the so called "ceiling" which we can think of as an electric fence or asymptote value.

We could have the following example perimeter values that approach 54 but not actually reach it

and so on.

Answer:

Step-by-step explanation:

"D" would be the correct answer. "f(x-10)" means that the "10" would be moving right-- the positive direction. Therefore, h(x) would be located 10 units RIGHT of f(x), which passes through the origin, (0,0). Statement A is correct because, on a graph, you'd have line f(x) passing through the origin, and towards the right, 10 units, (positive) you would have h(x) making them identical. So yes, same slope. Statement B is also correct, they're obviously parallel if they're beside each other. Statement C is correct as well. Although they're parallel, they don't share the same X-intercept. f(x)'s x-intercept would be (0,0), origin. h(x)'s x-intercept would be (10,0). These three statements, A,B, & C are correct statements therefore they're not our answers since we're looking for the incorrect statement....... STATEMENT D!

Let's begin by identifying key information given to us:

The boiling point of water is 100 degrees Celsius

We will convert this temperature to Fahrenheit to obtain its equivalent using the formula:

Therefore, the first option is the correct answer (212 degrees Fahrenheit & 100 degrees Celsius)