2\3-4x+7/2= -9x+5/6
solve

Answer:

5 minutes per mile

Step-by-step explanation:

15 divided by 3 = 5

The solutions to the equations are;

(-3, 8) and (34/10, 156/16)

1) We can see that;

2x+y=2  ---- (1)

5x+3y =  9 ----- (2)

Multiply (1) by 5 and (2) by (2)

10x + 5y = 10 --- (3)

10x + 6y = 18 ----- (4)

Subtract 3 from 4

y = 8

Now substitute y =8 in (1)

2x + 8 = 2

x = 2 - 8/2

x = -3

Solution is; (-3, 8)

For question 2;

5x - 2y = -2 ---- (1)

3x + 4y =  30 ---- (2)

Multiply 1 by 3 and 2 by 5

15x - 6y = -6 ---- (3)

15x + 20y = 150 ----- (4)

Subtract (3) from (4)

16y = 156

y = 156/16

5x - 2(156/16) = -2

5x - 156/8 = -2

5x = -2 + 156/8

x = 34/10

Solution; (34/10, 156/16)

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Answer:

21

Step-by-step explanation:

This triangle is isosceles ( I added a photo of my solution)

Answer:

\(\dfrac{2}{3}\)

Step-by-step explanation:

Given the quotient: \(4\dfrac{2}{3} \div 7\)

Step 1: Write \(4\dfrac{2}{3}\) in improper fraction.

\(4\dfrac{2}{3}=\dfrac{14}{3}\)

Therefore:

\(4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7\)

Step 2: Change the division sign to multiplication by taking the reciprocal of 7

\(\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}\)

Answer:

2/3

Step-by-step explanation:

i did it in khan academy

Answer:a. (5 * 9) * (10^3 * 10^7)

45 * 10^3+7

45 * 10^10 = 4.5 * 10^11

b. 7 * 10^5/2 * 10^2

7 * 10^3/2

7 * 1000/2

7 * 500 = 3500 or 3.5 * 10^3

Step-by-step explanation:

The statistics z is -1.878 and the p value is 0.0302

Given,

Number of random sample selected, n = 6967

Number of surveys returned, x = 1331

Estimated proportion of return rate;

p = 1331/6967 = 0.192

Significance level, ∝ = 0.01

z would represent the statistic

We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:

Null hypothesis, p₀ ≥ 0.2

Alternative hypothesis, p₀ < 0.2

The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)

That is,

z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878

Using the alternative hypothesis and the following probability, we can now get the p value:

p value  = p(z < - 1.878) = 0.0302

We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.

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Solution

we are given

(a). P(x) / Q(x)

(b). P(x) x Q(x)

Answer:

The answer to your problem is, F = 15N

Step-by-step explanation:

You have: F = ka

Where F is the force acting on the object, A is the object's acceleration and is the constant of proportionality.

Which will be our letters that we will NEED to use for today.

You can calculate the constant of proportionality by substituting F = 18 and a = 6 into the equation and solving for k: Then we can now figure out the “ formula of expression “

18 = k6

k = \(\frac{18}{6}\)

K = 3

We would need to calculate the force when the acceleration of the object becomes 5 m/s², as following: F = 3 x 5 ( Basic math )

= F = 15

Thus the answer to your problem is, F = 15N

The answers have been shown below.

Questions regarding the time spent by Jack jogging and bike riding are needed to be answered.

(A) The equations are \(x+y=75, y=15+x\)

Time spent jogging is 30 minutes

The total time would be \(45+60=105\) minutes which is not equal to 75 minutes.

(B) Let \(x\) be the time spent jogging.

\(y\) be the time spent bike riding.

\(x+y=75\\y=15+x\\x+15+x=75\\2x+15=75\\x=\frac{75-15}{2} =30\)

Time spent jogging is 30 minutes.

\(y=60\\x+y=75\)

(C) If he rides his bike 15 minutes longer than he jogs then he would have to jog \(60-15 = 45\) minutes.

Therefore, the total time would be \(45+60=105\) minutes which is not equal to 75 minutes.

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Answer:

15.9

Step-by-step explanation:

O/A

Tan47=17/x

x=17/tan 47

The constant of proportionality represented by K will be 1/3 which is shown in the given graph.

Firstly, there is a proportional relationship.

Two values x  and y are said to be in a proportional relationship if x = ky, where x and y are variables and k is a constant.

The constant k is called the constant of proportionality.

The proportional relationship between x and y can be written symbolically as

\(x \propto y\)

That middle sign is called a sign of proportionality.

In the given graph x line and y line have been graphed.

Since the relation between them has been represented by a straight line, so their relationship can be represented by

x = K × y

where K is the proportionality constant.

Now K = \(\dfrac{x}{y}\)

           = \(\dfrac{2}{6}\)

          =  1/3

therefore, the constant of proportionality will be 1/3.

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Based on the number line, it appears that Sandy simplified the expression (6 × 3) + (4 × 2) - 5. The number line shows six jumps of size 3, which equals 18, and four jumps of size 2, which equals 8.

The final step on the number line is a jump of size -5, indicating subtraction. Adding the 18 and 8 and then subtracting 5 results in a final answer of 21.

Sandy used a number line to simplify a numerical expression, and based on the number line, she appears to have simplified the expression (6 × 3) + (4 × 2) - 5. The number line shows six jumps of size 3, representing the first part of the expression, which equals 18. The number line also shows four jumps of size 2, representing the second part of the expression, which equals 8.

The final step on the number line is a jump of size -5, indicating subtraction. Adding the 18 and 8 and then subtracting 5 results in a final answer of 21.

Sandy simplified the expression (6 × 3) + (4 × 2) - 5 using a number line, and the answer based on the number line is 21.

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Answer:

Drone = $300

4 Extra Set Of Propellor = 4(25$) = $100

Step-by-step explanation:

Chang is incorrect because his factoring results in -21 instead of positive 21.

Benjamin is incorrect because his factoring results in positive 9x instead of -9x.

Habib's answer is incorrect because 4 + 12x is not equivalent to the expression above.

A correct factor would be: 4-3(3x-7)

Answer:

Chang-incorrect he did not divide 21 by -3 correctly

bejiman-i got wrong

habib-incorrect he cannot add -9 and 21

4-3(3x-7)

Step-by-step explanation:

Answer:

Wow really??? I never would thought

Step-by-step explanation:

Answer:

With just a 15 minute call my guy

Step-by-step explanation:

Answer:

Angle B = 51.06 degrees

Step-by-step explanation:

arcsin(7/9)=Angle B

Therefore, Angle B = 51.06 degrees

The length of the microorganism in millimeters is 0.005 mm.

The theory behind converting length units from one unit to another is based on the conversion factor principle. In the International System of Units (SI), the conversion factor between two units of length can be obtained by comparing the number of meters represented by each unit. For example, 1 millimeter is equal to 0.001 meters, and 1 micrometer is equal to 0.000001 meters.

To convert from one unit of length to another, we multiply the length by the appropriate conversion factor. In this case, to convert from micrometers to millimeters, we multiply the length in micrometers by 0.001 to obtain the length in millimeters.

To convert the length of the microorganism from micrometers (μm) to millimeters (mm), we divide by 1000.

5 μm / 1000 = 0.005 mm

Therefore, the length of the microorganism in millimeters is 0.005 mm.

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To make a division between two integer, for example -6÷5. The first thing we need to do is:

• Define the sign of the result.

For that we use the law of signs:

• when you divide a negative number by a positive number, the answer will be negative.

• When you divide a positive number by a negative number, the answer will be also negative

• When you divide a negative number by a negative number, the answer will be a positive number.

In this example, we have the first case, so the answer will be negative.

Now we move to making th division between 6 and 5, for that we arrange the numbers as follows:

And we start by finding how many times does the number 5 fits into the number 6. The answer to that is that 5 can fit into 6 one time.

The solution for the expression ((8p² - 2s³) / m ) + ((58p² - 2s³) / m) + ((58p² - 2s³) / ( m + 5)) is 196.72

Given,

The expression: ((8p² - 2s³) / m ) + ((58p² - 2s³) / m) + ((58p² - 2s³) / ( m + 5))

Where,

Value of p is given as 3

Value of s is given as 2

Value of m is given as 4

Then,

((8p² - 2s³) / m ) + ((58p² - 2s³) / m) + ((58p² - 2s³) / ( m + 5))

= (8 x 3² - 2 x 2³) / 4 + (58 x 3² - 2 x 2³) / 4 + (58 x 3² - 2 x 2³) / 4 + 5

= (8 x 9 - 2 x 8) / 4 + (58 x 9 - 2 x 8) / 4 + (58 x 9 - 2 x 8) / 9

= (72 - 16) / 4 + (522 - 16) / 4 + (522 - 16) / 9

= 56 / 4 + 506 / 4 + 506 / 9

= 14 + 126.5 + 56.22

= 196.22

Therefore, the solution for the expression ((8p² - 2s³) / m ) + ((58p² - 2s³) / m) + ((58p² - 2s³) / ( m + 5)) is 196.72

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The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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Answer:

Step-by-step explanation:

here you go mate

step 1

(x^3)4  equation

step 2

(x^3)4  simplify

answer

4x^3

can i get brainliest if you dont mind

Answer:

Its is a number that is consecutive duh.

Step-by-step explanation:

Answer:

A consecutive numeber is numbers that follow each other continuously in the order from smallest to largest

example:

2, 4, 6, 8, 10

1, 2, 3, 4, 5

3, 6, 9, 12

Answer:

6.39 pounds, 102.29 ounces.

Step-by-step explanation:

The weight of baby in pounds and ounces are:  6.39 pounds , 102.29 ounces.

We have the following information available from the question is:

A newborn baby weighs 2900 grams.

We have to calculate the weight of baby in pounds and ounces.

Now, According to the question:

The weight of baby is = 2900 gm

We know that :

1gm = 0.00220462 pounds

so, 2900 × 0.00220462 = 6.39 pounds

Now, 1gm = 0.035274

So, 2900 × 0.035274

=> 102.29 ounces.

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Answer:

hope this helps

Answer:

B is your answer

Step-by-step explanation:

PLEASE MARK BRAINLIEST

We will use the formula for a confidence interval for the population mean to determine the confidence level associated with a confidence interval of 6.42 ± 0.1916 for the population mean μ, and we found that it represents a 95% confidence interval.

In statistics, confidence intervals are used to estimate the range of values that a population parameter is likely to fall in. A confidence interval is an interval estimate computed from a sample of data, which is used to describe the range of plausible values of the population parameter. In this scenario, we have a sample of 203 adults who were asked how long they slept last night. We are given the mean and standard deviation of their responses, and we are asked to determine the confidence level associated with a confidence interval of 6.42 ± 0.1916 for the population mean μ.

To determine the confidence level associated with a confidence interval of 6.42 ± 0.1916 for the population mean μ, we need to use the formula for a confidence interval for the population mean:

Confidence Interval = mean ± Zα/2 * (σ / √n) where: sample mean, Zα/2 = the critical value of the standard normal distribution at the desired confidence level (α) divided by 2, σ = population standard deviation (which we estimate using the sample standard deviation, s), n = sample size

In this scenario, first, we need to find the critical value of the standard normal distribution at the desired confidence level (α) divided by 2. We can use a standard normal distribution table or a calculator to find this value. For example, if we want a 95% confidence interval, α = 0.05, and the critical value is Zα/2 = 1.96.

Next, we can substitute the values into the formula and solve for the confidence interval: 6.42 ± 1.96 * (1.56 / √203) = 6.42 ± 0.1916

We can see that the interval 6.42 ± 0.1916 represents a 95% confidence interval for the population mean μ. This means that if we were to take multiple random samples of the same size from the population and calculate their confidence intervals, about 95% of these intervals would contain the true population mean.

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Answer:

A (13 units)

and E (the one you chose)

Step-by-step explanation:

Answer:

18 because we will multiply them all together

formula applied was lbh multiplied together. Mark me as the brainliest

Step-by-step explanation: