The oxygen consumption (in milliliter per pound per minute) for a person walking at x mph is approximated by the function f(x)=\frac{5}{3} x^{2}+\frac{5}{3} x+10 \quad(0 \leq x \leq 9)whereas the oxygen consumption for a runner at x mph is approximated by the function g(x)=11 x+10 \quad(4 \leq x \leq 9) b. At what speed is the oxygen consumption the same for a walker as it is for a runner? What is the level of oxygen consumption at that speed?

Answer:

B)Gift shop

pls mark me as BRAINLIEST

hope the answer helped you

Answer:

x = 3,0

Step-by-step explanation:

x²-3x=0

1- x(x - 3) = 0

2- x = 0 , x = 3

Answer:

X1=0    X2=3

Step-by-step explanation:

Factorize x²-3x=x*(x-3)=0

So x=0  or  x-3=0

SO x1=0 x2-3=0

x2=3

Answer:

x = 3/2

y = 2

z = 3/2

Step-by-step explanation:

There are multiple methods to solve these. Message me for the method you need to see step by step.

Answer:

0.6127 = 61.27% probability of guessing 6 or more questions correctly.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guess the correct answer, or you do not. The probability of guessing the correct answer of a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

12 questions:

This means that [tex]n = 12[/tex]

True-false:

Two options, one of which is correct. So [tex]p = \frac{1}[2} = 0.5[/tex]

Find the probability of guessing 6 or more questions correctly.

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256[/tex]

[tex]P(X = 7) = C_{12,7}.(0.5)^{7}.(0.5)^{5} = 0.1934[/tex]

[tex]P(X = 8) = C_{12,8}.(0.5)^{8}.(0.5)^{4} = 0.1208[/tex]

[tex]P(X = 9) = C_{12,9}.(0.5)^{9}.(0.5)^{3} = 0.0537[/tex]

[tex]P(X = 10) = C_{12,10}.(0.5)^{10}.(0.5)^{2} = 0.0161[/tex]

[tex]P(X = 11) = C_{12,11}.(0.5)^{11}.(0.5)^{1} = 0.0029[/tex]

[tex]P(X = 12) = C_{12,12}.(0.5)^{12}.(0.5)^{0} = 0.0002[/tex]

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.2256 + 0.1934 + 0.1208 + 0.0537 + 0.0161 + 0.0029 + 0.0002 = 0.6127[/tex]

0.6127 = 61.27% probability of guessing 6 or more questions correctly.

Answer:

x≤9  

Step-by-step explanation:

x−15≤−6

Add 15 to each side

x−15+15≤−6+15

x≤9  

Answer:

[tex]\boxed{x\leq 9}[/tex]

Step-by-step explanation:

[tex]x-15 \leq -6[/tex]

[tex]\sf Add \ 15 \ to \ both \ parts.[/tex]

[tex]x-15 +15 \leq -6+15[/tex]

[tex]x\leq 9[/tex]

Answer:

Step-by-step explanation:

First step is using a linear regression equation:

In a linear regression model y = b0 + b1x

where y be the response variable

and x be the predictor variable.

let b1  = slope

b0 = intercept of the line.

Let the variable ratings be by denoted by x and the variable price be denoted by y.

From the given information it is known that, price (y) is response variable and ratings (x) predictor variable.

Therefore, price can be predicted using ratings.

Second step is to obtain the regression equation of the variables price (y) and ratings (x):

so the slope of the regression equation is 120 and the y-intercept is -353.

then b0 = -353

therefore,

(price)y = b0 + b1x (ratings)

y = -353 + 120x

The equation of the regression line is y = -353 + 120x.

Given that,

Based on the above information, the equation is as follows:

y = -353 + 120x

Learn more: brainly.com/question/17429689

Answer:

B. [tex] \frac{7x^2 + 11x}{x^2 + 6x + 5} [/tex]

Step-by-step explanation:

The sum is worked as shown below:

[tex] \frac{x}{x + 1} + \frac{6x}{x + 5} [/tex]

Use the common denominator to divide each denominator, then use the result to multiply the numerator, you'd have the following:

[tex] \frac{x(x + 5) + 6x(x + 1)}{(x + 1)(x + 5)} [/tex]

Use the distributive property of multiplication to solve

[tex] \frac{x(x) + x(5) + 6x(x) + 6x(1)}{(x(x + 5) + 1(x + 5)} [/tex]

[tex] \frac{x^2 + 5x + 6x^2 + 6x}{x^2 + 5x + x + 5} [/tex]

Pair like terms

[tex] \frac{x^2 + 6x^2 + 5x + 6x}{x^2 + 6x + 5} [/tex]

[tex] \frac{7x^2 + 11x}{x^2 + 6x + 5} [/tex]

The answer is B.

Answer:

12

Step-by-step explanation:

The second diagram is most helpful for finding the surface area.

If you want further tutoring help in geometry or other subjects for FREE, check out growthinyouth.org.

Answer:

x = 8

Step-by-step explanation:

x + 4 = 12

x=12-4

x=8

Answer:

8

Step-by-step explanation:

x+4=12, so 12-4=x (if you use an the inverse operation of addition, subtraction.)

12-4=x, so all you have to do is subtract and, there you have it, 8. It makes sense, 8+4=12. :)

Hey there! I'm happy to help!

First, let's multiply this thickness by one million to see how many inches this  pile is.

0.0043*×1,000,000=4,300 inches

We know that there are 12 inches in a foot and 3 feet in a yard, so there must be 36 inches in a yard.

So, we divide our 4,300 inches by 36 to find how many yards high this pile is.

4300÷36=119 4/9

Therefore, a pile of a million $1 bills is 119 4/9 yards high.

Have a wonderful day! :D

Answer:

3.33333333 . . .

Step-by-step explanation:

Answer:

3.33333333

Step-by-step explanation:

Its a forever number, i forgot the term i think its called a terminal number, or nonterminal i forget. You divide 10 / 3 and get 3.33333333333333333333 forever

Answer:

 P [ Z >  24,1 ] =  72,24 %

Step-by-step explanation:

P [ Z > 24,1 ]  =  1  - P [ Z < 24,1 ]

P [ Z < 24,1 ] = ( Z - μ₀ ) / σ

P [ Z < 24,1 ] = ( 24,1 - 25,4) / 2,1

P [ Z < 24,1 ] = - 1,3/ 2,1

P [ Z <  24,1 ] = - 0,6190  ≈ - 0,62

We look in z-table and find for  z(score) -0,6190

P [ Z <  24,1 ] = 0,27763

Then

P [ Z >  24,1 ] = 1 - 0,27763

P [ Z >  24,1 ] = 0,72237    ⇒    or       P [ Z >  24,1 ] =  72,24 %

Answer:

-2/9

Step-by-step explanation:

When you multiply a number by its multiplicative inverse, you should get 1. So, the multiplicative inverse (or reciprocal) of -9/2 is 1/(-9/2) which is -2/9. You can get the answer by simply flipping the numerator and denominator.

Answer:

a. Total amount after 65 years = $1179415.39

b. The total contribution to the account  = $288000

Step-by-step explanation:

Given annuity amount = $1800

Total number of years for contribution = 65 – 25 = 40 years

Interest rate  = 6%

a. Total amount after 65 years = Annuity[((1+r)^n -1) / r]

Total amount after 65 years = 1800×((1+.06/4)^(4 × 40) - 1)/(.06/4)

Total amount after 65 years = $1179415.39

b. The total contribution to the account =1800 × 4 Quarter × 40 Years

        The total contribution to the account  = $288000

Answer:

If we have a function f(x) = y.

the set of possible values of x is called the domain

the set of possible values of y is called the range.

In this case, we have:

Blood alcohol content vs Reflex time,

The possible values of alcohol in blood content depend on the particular person, but we can have a minimum of 0.0 (no alcohol in blood) and a maximum of .51 (for a 90 lb person) because at this range the person enters the risk of death.

So the domain is: D = [0.0, 0.51]

But, we actually can have higher values of alcohol in blood, so we actually can use a domain:

D = [0.0, 1.0]

For the range, we need to see at the possible values of the reflex time.

And we know that the human reflex time is in between 100ms and 500ms

So our range can be:

R = [100ms, 500ms]

Answer:

-10

-5 * 2 = -10

Hope this is right

Answer:

P

Step-by-step explanation:

Count the line endings in each letter as you write it down.

Answer:

I agree with tonb .Ace,he's/she's right

Answer:

Step-by-step explanation:

Question:

4(y - 3) = 48

1. Distribute

4y - 12 = 48

2. Simplify Like terms

4y - 12 = 48

    + 12 + 12

4y = 60

3. Solve

4y = 60

/4       /4

y = 15

4. Check:

4(y - 3) = 48

4((15) - 3) = 48

4(12) = 48

48 = 48     Correct!

Hope this helped,

Kavitha

Answer:

[tex]y=15\\[/tex]

Step 1:

To find y, we first have to multiply [tex]4(y-3)[/tex]. When we do that (4 * y, 4 * - 3), we get [tex]4y-12[/tex].

Step 2:

Our equation looks like this now:

[tex]4y-12=48[/tex]

To solve this equation, we have to add 12 on both sides so we can cancel out the -12 on the left side of the equation.

[tex]4y-12(+12)=48(+12)[/tex]

[tex]4y=60[/tex]

Now, we can divide 4 on both sides to get y  by itself.

[tex]4y/4\\60/4[/tex]

[tex]y=15[/tex]

Answer:

2 cm

Step-by-step explanation:

If x is the length of the sides of the squares, then the height of the box is also x.  The length and width of the base are 10−2x and 20−2x.  The area of the base is the length times the width.

96 = (10 − 2x) (20 − 2x)

96 = 200 − 20x − 40x + 4x²

0 = 4x² − 60x + 104

0 = x² − 15x + 26

0 = (x − 2) (x − 13)

x = 2 or 13

Since x < 5, x = 2.

So the length of the sides of the squares is 2 cm.

Answer:

your third answer

Step-by-step explanation:

its easy just plug in each domain into your function and the result will be the range

Answer:

X= 50°

Y= 70°

Z= 30°

BDE= 30°

2BDE= 60°

Step-by-step explanation:

(2x -70 )+z+(2x+20)=180...(sum of angle on a straight line)

2x -70 = BDE... alternate angles

Y + (2x-70)+(50+x-20) = 180...(sum of angles in a triangle)

X-20 = z ... alternate and opposite angles

(2x -70 )+z+(2x-+20)=180

2x-70 + x-20 +2x +20= 180

5x -70= 180

5x = 250

X= 50°

X-20 = z

50-20= z

30° = z

2x -70 = BDE

2(50) -70 = BDE

100-70 = BDE

30°= BDE

Y + (2x-70)+(50+x-20)

Y + 100-70 +50 +50 -20 = 180

Y + 200-90=180

Y= 70°

2BDE = 2*30

2BDE= 60°

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

A) 3x²c² + 5xc² - 2c²

Factor c² from all terms in the expression.

c²(3x² + 5x - 2)

Factor 3x² + 5x - 2

c²(3x-1)(x+2)

B) x² + 6x + 9

x² + 3x + 3x + 9

Factor common terms.

x(x+3)+3(x+3)

Take x+3 common.

(x+3)(x+3)

C) x² - 9

x² -3²

Apply formula : a² - b² = (a+b)(a-b)

(x+3)(x-3)

Answer:

A) [tex]c^2(3x-1)(x+2)[/tex]

B) [tex](x+3)(x+3)[/tex]

C) [tex](x+3)(x-3)[/tex]

Step-by-step explanation:

Part A:

[tex]3x^2c^2+5xc^2-2c^2[/tex]

Taking [tex]c^2[/tex] common

[tex]c^2(3x^2+5x-2)[/tex]

Using mid term break formula

[tex]c^2 (3x^2+6x-x-2)[/tex]

[tex]c^2[3x(x+2)-1(x+2)][/tex]

[tex]c^2(3x-1)(x+2)[/tex]

Part B:

[tex]x^2 + 6x + 9.[/tex]

[tex](x)^2+2(x)(3)+(3)^2[/tex]

[tex](x+3)^2[/tex]

[tex](x+3)(x+3)[/tex]

Part C:

[tex]x^2-9[/tex]

[tex](x)^2-(3)^2[/tex]

[tex](x+3)(x-3)[/tex]

Answer:

The answer is option B

Step-by-step explanation:

To solve for x we use tan

tan ∅ = opposite / adjacent

From the question

The adjacent is x

The opposite is 19

So we have

tan 29 = 19/ x

x = 19/ tan 29

x = 34.276

Hope this helps

Answer:

x ≈ 34.28

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{19}{x}[/tex] ( multiply both sides by x )

x × tan29° = 19 ( divide both sides by tan29° )

x = [tex]\frac{19}{tan29}[/tex] ≈ 34.28 ( to the nearest hundredth )

Answer:

C

Step-by-step explanation:

It is the graph of f(x) translated 3 units down. Think about in numerical terms,

if      y = 5     y-1  = 5- 1 = 4, so that's what is happening with all numbers on the y axis. You have y = f(x) and you do y-3 = f(x)-3, so, all "y" points are translated 3 units down

Answer:

These payments will be worth $11,332.94.

Step-by-step explanation:

We can calculate this as an annuity but with monthly periods and monthly interest rates.

Then, we have:

C = cash flow per period = $210

n = number of payments = 48

i = interest rate = 0.49% = 0.0049

Then, we can calculate the future value of this stream of deposits as:

[tex]FV=C\left[\dfrac{(1+i)^n-1}{i}\right]\\\\\\FV=210\left[\dfrac{(1.0049)^{48}-1}{0.0049}\right]=210\left[\dfrac{1.2644-1}{0.0049}\right]=210\left[\dfrac{0.2644}{0.0049}\right]\\\\\\FV=210\cdot 53.966\\\\\\FV=11332.94[/tex]

Answer:

7y⁴- 10yz - y²z - 5

Step-by-step explanation:

First collect like terms

3y²+ 4y²- 6yz - 4yz - y²z - 7+2

7y⁴-10yz - y²z - 5

Answer:

Its C

Step-by-step explanation:

Answer:

L = [tex]\frac{V}{HW}[/tex]

Step-by-step explanation:

Given

V = LHW ( isolate L by dividing both sides by HW )

[tex]\frac{V}{HW}[/tex] = L

Answer:

[tex]l = \frac{v}{w \times h} [/tex]

Step-by-step explanation:

[tex]v = l \times w \times h = \frac{v}{w \times h} = \frac{l \times h \times w}{w\times h} = l = \frac{v}{w \times h} [/tex]

Hope this helps ;) ❤❤❤

Answer: sample required n = 18

Step-by-step explanation:

Given that the value under under null hypothesis is 40 while the value under the alternative is less than 40, specifically 35.9

∴ H₀ : u = 40

  H₁  : u = 35.9

therefore β = ( 35.9 - 40 ) = -4.1

The level of significance ∝ = 0.05

Probability of committing type 11 error P = 0.1

standard deviation α = 5.8

Therefore our z-vales (z table)

Z₀.₅ = 1.645

Z₀.₁ = 1.282

NOW let n be sample size

n = {( Z₀.₅ + Z₀.₁ )² × α²} / β²

n = {( 1.645 + 1.282 )² × 5.8²} / (- 4.1)²

n = 17.14485

Since we are talking about sample size; it has to be a whole number

therefore

sample required n = 18

Answer:

Option (1)

Step-by-step explanation:

In the graph attached,

There are three intervals of the function graphed.

1st interval → -∞ < x < -3

2nd interval → -3 ≤ x ≤ 2

3rd interval → 2 < x < ∞

In the 1st interval, value of the function is constant. [represented by a straight horizontal line]

In the second interval, line graphed is slanting down. (slope of the line is negative).

Therefore, value of the function is decreasing in -3 ≤ x ≤ 2

In 3rd interval, slope of the line is positive. Therefore, function is increasing in the 3rd interval.

Option (1) will be the answer.

Answer: -3 ≤ x ≤ 2 is correct

Step-by-step explanation: I just took the exam :)