A jogger travelled 52km in 4 days.what is the rate he travelled per day?
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[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:-39}}}}}}[/tex]

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

[tex] \sqrt[5]{x + 7} = - 2[/tex]

➺[tex] \: x + 7 =( { - 2})^{5} [/tex]

➺[tex] \: x + 7 = ( - 2 \times - 2 \times - 2 \times - 2 \times - 2)[/tex]

➺[tex] \: x + 7 = - 32[/tex]

➺[tex] \: x = - 32 - 7[/tex]

➺[tex] \: x = - 39[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex] \sqrt[5]{x + 7} = - 2 \\\\ ➼ \: \sqrt[5]{ - 39 + 7} = - 2 \\ \\➼ \: \sqrt[5]{ - 32} = - 2 \\\\ ➼ \: \sqrt[5]{ - 2 \times - 2 \times - 2 \times - 2 \times - 2} = - 2\\ \\ ➼ \: \sqrt[5]{( { - 2})^{5} } = - 2\\ \\ ➼ \: - 2 = - 2 \\\\ ➼ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning. }}{\orange{❦}}}}}[/tex]

The solution of the given equation would be; x = -39.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

WE have been given an equation as,

[tex]\sqrt[5]{x+7} = -2[/tex]

WE need to find the solution of the given equation which can be calculated as;

[tex]\sqrt[5]{x+7} = -2[/tex]

First raise both sides to the power 5;

[tex](\sqrt[5]{x+7} )^5= -2^5[/tex]

Now x + 7 = - 32

subtract 7 from both sides, we get;

x = - 39  

Hence, the  solution of the given equation would be; x = -39.

Learn more about solving equations here:

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1.05^x = 2

Apply export rule ( logarithm s)

Xln1.05 = ln2

Divide both sides by ln1.05

X = ln2/ln1.05

X = 14.206

Round the answer as needed.

Answer:

The sample proportion is 0.88.

The margin of error is of 0.04.

The interval likely to contain the true population proportion is (0.84,0.92).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Margin of error:

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Sample of 230 teenagers, 202 would like to have smaller class sizes at their school.

This means that [tex]n = 230[/tex], and that the sample proportion is:

[tex]\pi = \frac{202}{230} = 0.88[/tex]

The sample proportion is 0.88.

Standard 95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Margin of error:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.88*0.12}{230}}[/tex]

[tex]M = 0.04[/tex]

The margin of error is of 0.04.

Confidence interval:

Sample proportion plus/minus margin of error. So

0.88 - 0.04 = 0.84

0.88 + 0.04 = 0.92

The interval likely to contain the true population proportion is (0.84,0.92).

Answer:

the answer is 8cm i think

Answer:

[tex]P(x < 4) = \frac{9}{50}[/tex]

Step-by-step explanation:

Given

[tex]n(S) = 50[/tex]

See attachment for distribution

Required

[tex]P(x < 4)[/tex]

This is calculated as:

[tex]P(x < 4) = \frac{n(1) + n(2) + n(3)}{n(S)}[/tex]

Using the data on the frequency distribution table, we have:

[tex]P(x < 4) = \frac{4 + 2 + 3}{50}[/tex]

[tex]P(x < 4) = \frac{9}{50}[/tex]

Answer:

6 meters

Step-by-step explanation:

Area is length times width. If the width is 10 and the area is 60, then you would find 10 times ??? equals 60. Or 60 divided by 10. which is 6

Answer:

540 km

Step-by-step explanation:

You find distance by multiplying rate and time. Rate is 90, and time is 6. 90 x 6 = 540 km

Answer:

a^2+b^2=c^2

6^2+6^2=72

square root of 72

=8.49(3sf)

c^2-b^2=a^2

=3

x=3

answer : 3

step by step:

this may seem hard but it is easy.

the first thing to do is to look at the bottom of the shape it shows a right triangle that is missing the hypotenuse lets see how to solve for that:

name the hypotenuse  x

then write the equation

x^2= 6^2 + 6^2

x^2= 72

take both the square root of them

x = 8.5

next part is the rectangle and we see that it has been split into 2 right triangles which are the same but the cool part is that if we solve for one of the triangles we solve for the other we are going to do the same steps again notice now we are solving for the right angle that's not labeled if we solve that then that means we solve for the other triangle that is labelled x

first off we know that the hypotenuse is 9 and one angle is 8.5 so here is the equation:

x^2 = 9^2 - 8.5^2

x^2 = 8.75

take square root of both

x = 3

Answer:

y = -⅓x + 7

Step-by-step explanation:

Given the two points that lie on the line (3, 6) and (-3, 8), we can find the equation without the grid by finding the slope (m) and y-intercept (b).

The equation would be written in the form of y = mx + b (slope-intercept form):

✔️Find m:

Slope (m) = change in y/change in x

Slope using (3, 6) and (-3, 8), would be:

Slope (m) = (8 - 6)/(-3 - 3) = 2/-6

m = -⅓

✔️Find b:

Substitute (x, y) = (3, 6) and m = -⅓ into y = mx + b to find b

6 = -⅓(3) + b

6 = -1 + b

6 + 1 = b

b = 7

✅Write the Equation:

Substitute m = -⅓ and b = 7 into y = mx + b

Thus,

y = -⅓x + 7

Answer:

-2+6=4

0+6=6

4+6=10

x+2=2. x=2-2. x=0

Step-by-step explanation:

hope this is helpful

Answer:

250 berries

Step-by-step explanation:

berries : oranges

10              1

We have 25 oranges so we need to multiply each side by 25

berries : oranges

10*25          1*25

250               25

There are 250 berries

Answer:

Convenience sampling

Step-by-step explanation:

When sampling is done based in degree of ease or samples picked from observations that are easily accessible rather than prioritizing randomness or selection which will most be representative of the population, then such sampling is called convenience sampling. In some texts, it is also referred to as grab sampling as researchers choose from close, easy to reach samples. In the scenario above, the quality control takes the easy procedure of checking the first and last 10 motorcycles as this is easier than having to take samples at random tune intervals which will be a better representation of the entire motorcycles.

Answer:

A. 11

Step-by-step explanation:

EQ is half of EG

so 22/2 = 11

[tex]27 {x}^{6} {y}^{9} [/tex]

Hope it helps you...

Answer:

17 white sweatshirts were sold and 19 yellow sweatshirts were sold.

Step-by-step explanation:

Let w represent the number of white sweatshirts sold and y represent the number of yellow sweatshirts sold.

We can write a system of equations to represent the situation.

Since the store sold a total of 36 sweatshirts, the sum of the white and yellow sweatshirts must total 36. So:

[tex]y+w=36[/tex]

And since each white sweatshirt cost $10.95 and each yellow sweatshirt cost $11.50 and the total profit was $404.65:

[tex]10.95w+11.5y=404.65[/tex]

Solve the system. I'll use substitution this time (though elimination will work just as perfect). From the first equation, subtract w from both sides:

[tex]y=36-w[/tex]

Substitute this into the second:

[tex]10.95w+11.5(36-w)=404.65[/tex]

Distribute:

[tex]10.95w+414-11.5w=404.65[/tex]

Simplify:

[tex]-0.55w=-9.35[/tex]

Divide both sides by -0.55:

[tex]w=17[/tex]

So, 17 white sweatshirts were sold.

Using the modified equation, substitute:

[tex]y=36-(17)=19[/tex]

Therefore, 17 white sweatshirts were sold and 19 yellow sweatshirts were sold.

Answer:

Mike made $ 200.63 last Friday.

Step-by-step explanation:

Since Ms. Peralta's friend Mike is a construction worker who gets paid $ 15 an hour, and after working 9 hours he gets paid 1.25 times his hourly rate, and last Friday Mike worked for 5 hours - took an 1 hr and 15 minute break for lunch (does not count toward his work hours) - and worked for an additional 7.5 hours, to determine how much money did Mike make last Friday the following calculation must be performed:

5 + 7.5 = 12.5

12.5 - 9 = 3.5

9 x 15 + (3.5 x (15 x 1.25)) = X

135 + 3.5 x 18.75 = X

135 + 65.625 = X

200.63 = X

Therefore, Mike made $ 200.63 last Friday.

Answer: $240

Step-by-step explanation:

So 60 represents the 1, so multiply 60 by 4

Step-by-step explanation:

For this question, what we have to do is to rewrite and form some of these statements with their contrapositives

here is the reordering;

1. if Object is at the left of the tree, then it is blue

2. If the object is blue then it smells good.

3. If thus thing smells good then it tastes good.

4. If it tastes good then it is expensive

∴ every object to the left of the tree is expensive

Answer:

|7000 - w| < 1000

Step-by-step explanation:

6000 < w < 8000

Subtract 7000 from the three "sides."

-1000 < w - 7000 < 1000

|w - 7000| < 1000

|7000 - w| < 1000

Answer:

You are fortunate that there are several excellent algorithms textbooks on the market. Many of them (including Introduction to Algorithms) have material on not just the algorithms, but the techniques you can use to develop algorithms. I recommend that you learn techniques such as divide-and-conquer, dynamic programming, greedy algorithms, and amortized analysis.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

When trying to solve a certain problem, different strategies must be applied that have the ability to solve the question in the most favorable way.

Learn more in https://brainly.com/question/7208889

Answer:

36

Step-by-step explanation:

You first solve 6x=72 which you divide 72/6 and get the answer x=12. You then replace x with 12 and do the order of operations. 12-3 then 9x4.

Answer:

Multiply using the distributive property.

B.

Please mark brainliest!

Answer:

-(a-b) (3-4x). hope this helps

Answer:

Step-by-step explanation:

visit the following;

https://sciencing.com/write-fractions-words-4443134.html

Answer: 1.5 < x < 4

Step-by-step explanation:

Answer:

B) ASA - angle side angle

Hope it help

Answer:

~ 7 years

Step-by-step explanation:

2 = (1 + .1/4)^(4t)

2 = (1.025)^(4t)

Take the log of both sides

log2 = 4t * log1.025

divide both sides by log1.025

log2/log1.025 = 4t

28.07103452593863 = 4t

Divide both sides by 4

7.017758631484657 = t

~ 7 years

Surface area of 5 sides of square = 5a²= 5×8.2×8.2=336.2 Cm²

Surface area of pyramid= a²+2a √a²/4+h²= 8.2²+2×8.2√67.24/4+ 4.41= 142.79

Surface area of composite shape = 336.2+142.79-67.24= 411.75~ 411.8 Cm² !