For every 1/4 kilometre of a walkathon a walker drank a bottle of water. How much water did the walker drink after walking 3 kilometres?

Answer:

$126

Step-by-step explanation:

Step 1: Take the common logarithm of both sides of the equation. Use the power property to bring the exponent, (2x+1), down as a factor.

Step 2: Solve the equation from step 1 for x. Round your final answer to the nearest hundreth.

(2x+1)*log(5) = log(8)

2x+1 = log(8)/log(5) = ~ 1.29203

2x = 0.29203

Answer:

3x+2+2x+5+2x-9=180(being linear pair)

7x-2=180

7x=180+2

x=182/7

x=26

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

If p is  inversely proportional to Q and P is 6 when q = 4, then;

p = k/q

6 = k/4

k = 6*4

k = 24

To get P when q = 3

Recall;

p = k/q

p = 24/3

p = 8

Hence the required value of p is 8

Note that the value of initial Q was assumed

Answer:

1.75 hours

Step-by-step explanation:

Time for day 1 : 4.5 hrs

Time for day 2: (4.5 ×2.5)

Time for day 3: let it be denoted by a variable ,say T.

Total Time= 17.5

(Time for day 1 ) + (Time for day 2) +(Time for day 3) =17.5

4.5 + (4.5×2.5) + T = 17.5

4.5+11.25+T =17.5

15.75+T=17.5

T=17.5-15.75

T= 1.75

Answer:

x = 4

Step-by-step explanation:

Given that sin(13x) = cos(9x+2)

Since sintheta  = cos(90 - theta)

hence sin (13x) = cos (90 -13x)

Substitute into the original equation

cos (90 -13x) = cos(9x+2)

90-13x = 9x+2

-13x - 9x = 2 - 90

-22x = -88

x = 88/22

x = 4

Hence the value of x is 4

Answer:

The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.

Step-by-step explanation:

The company's promotional literature states that 44% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is below the stated percentage.

At the null hypothesis, we test if the proportion is of 44%, the stated value. So

[tex]H_0: p = 0.44[/tex]

At the alternate hypothesis, we test if the proportion is below the stated value, that is, it is less than 0.44. So

[tex]H_1: p < 0.44[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.44 is tested at the null hypothesis:

This means that [tex]\mu = 0.44, \sigma = \sqrt{0.44*0.56}[/tex]

A sample of 1600 computer chips revealed that 43% of the chips fail in the first 1000 hours of their use.

This means that [tex]n = 1600, X = 0.43[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.43 - 0.44}{\frac{\sqrt{0.44*0.56}}{\sqrt{1600}}}[/tex]

[tex]z = -0.81[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.43, which is the p-value of z = -0.81.

Looking at the z-table, z = -0.81 has a p-value of 0.209.

The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.

Answer:

5

Step-by-step explanation:

See the image below:)

Answer:

Step-by-step explanation:

angle 2 and angle 7 are alternate exterior angles.so they are always equal.

angle 2=angle 7

Answer: ( − 3 , − 64 )

Step-by-step explanation:

knowledge!

Answer:

[tex]P(Mary) = (1 - p) * r[/tex]

Step-by-step explanation:

Given

[tex]p \to[/tex] Peter hits

[tex]r \to[/tex] Mary hits

Required

The probability that Mary wins

From the question, we understand that Peter throws the first.

If Mary is to win, then Peter has to lose his throw

Using the complement rule, the probability that Peter misses is:

[tex]p' = 1 - p[/tex]

So, the probability that Mary wins is:

[tex]P(Mary) = p' * r[/tex]

This gives:

[tex]P(Mary) = (1 - p) * r[/tex]

Answer:

The answer here depends on whether you want to do them individually or collectively.  If we go individually, then:

The vertical scaling gives us y = 3x³

The vertical translation gives us y = x³ + 4

The horizontal translation gives us y = (x + 2)³

On the other hand, if we want to apply all three at the same time, we get:

starting with a vertical scaling of 3, we get:

start with scaling: y = 3x³

add vertical translation: y = 3x³ + 4

and finally add horizontal translation: y = 3(x + 2)³ + 4

Answer:

2.15cm^3

Step-by-step explanation:

V = Mass / Density

21.93g / 10.2g/cm^3

2.15cm^3

Answer:

27(x^3)(y^6)

Step-by-step explanation:

the steps are in the pic above

X=20° is your answer

Step-by-step explanation:

X+3x+10°=90°

4x+10°=90°

4x=(90-10)°

X=80/4

X=20°

Answer:

Step-by-step explanation:

according to the question ur equation is

9y-8(a+b)

9y-8a-8b

Answer: 60 ft

Separate into 2 rectangles and add their areas together!

Vertical rectangle area: 10 x 3 = 30 ft

Horizontal rectangle area: 10 x 3 = 30 ft

Area of entire thing: 30 + 30 = 60 ft

Answer: for sure c.

Step-by-step explanation: Let me know if im right!

Answer:

Step-by-step explanation:

using pythagoras theorem formula

a^2+b^2=c^2

19^2+52^2=c^2

361+2704=c^2

[tex]\sqrt{3065}[/tex]=c

55.36=c

55=c

I think A but not sure

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

He bought 3/8 of a pound and ate 1/9 of it. The equation of this problem would be:

[tex]\frac{3}{8} * \frac{1}{9}[/tex] = amount he ate

Cancel the 3 on the numerator by dividing the denominator by 3.

[tex]\frac{1}{8} * \frac{1}{3}[/tex] = [tex]\frac{1}{24}[/tex]

Thus, he ate [tex]\frac{1}{24}[/tex] pounds of chips

Answer:

the number is -47..

Step-by-step explanation:

let the number be'x'

hope it helps.

[tex]\huge\bold{Given :}[/tex]

✎ Sum of two numbers = -43

✎ One of the number = 4

[tex]\huge\bold{To\:find :}[/tex]

✿ The other number.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\blue{The \:other \:number \:is\: -47.}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

❥ Let the other number be [tex]x[/tex].

❥ As per the question, we have

[tex]sum \: of \: the \: two \: numbers = - 43 \\ ⇢ x + 4 = - 43 \\ ⇢ x = - 43 - 4 \\ ⇢ x = - 47[/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-47.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( - 47) + 4= - 43 \\➪ \: - 47 + 4 = - 43 \\ ➪ \: - 43 = - 43 \\ ➪ \: \: L. H. S. = R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

9 cm

Step-by-step explanation:

y = 12 - 3

y = 9

Answer:

You FAILED to list any choices

Step-by-step explanation:

b = r + 86

Answer: r+86

Step-by-step explanation: You add the number of rubber bands Hector has (r) and 86 to get the amount Bryan has.

Answer:

1/4 ft

Step-by-step explanation:

Area is equal to length times width

A = lw

1/2 = 2*w

Divide each side by 2

1/2 ÷2 = 2w/2

1/4 = w

Answer:

1/4 feet

Step-by-step explanation:

The formula for finding the area of a rectangle is A = lenght*width

1/2= 2*width

Width is 1/4 feet

Answer:

(b+8)(b+10)

Step-by-step explanation:

https://www.mathpapa.com/simplify-calculator/

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (2, 3 ) → A' (- 2, 3 )

B (4, 5 ) → B' (- 4, 5 )

C (6, 2 ) → C' (- 6, 2 )

Answer:

NO

Step-by-step explanation:

(4/5)^n will always be ≤ 1  for any positve n

The equation h ( n ) = 150 is false

No , the height of the ball cannot be 150 inches

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

h ( n ) = 120 x ( 4/5 )ⁿ

Now , substitute the value of h ( n ) = 150 , we get

150 = 120 ( 4/5 )ⁿ

Divide by 120 on both sides of the equation , we get

150 / 120 = ( 4/5 )ⁿ

On simplifying the equation , we get

5/4 = ( 4/5 )ⁿ

The equation is not true because we have a exponential decay function here. This height of the ball decreases with each bounce.

At bounce 0 the height of the ball is 120 inches, and then continuously decreases with a common factor of 4/5

Therefore , the value of h ( n ) can never be 150

Hence , the equation h ( n ) = 150 is false

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

7.

Step-by-step explanation:

The equation of a circle is

(x - h)² + (y - k)² = r²

Where

(h, k) is the center and r is the radius, so we only need to work with r.

The expression states that

r² = 49 or the radius squared is equal to 49. So solve for r to find the radius.

r² = 49

Take the square root.

r = 7

The radius of the equation is 7.

The median is the middle number in a sorted, ascending or descending, list of numbers.

0, 0, 1, 1, 1.5, 1.5, 1.5, 1.5, 2, 2, 2, 2, 2.5, 2.5, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4.5,

Therefore, the median would be 2.5 hours.