Solve the inequality −14z<−37, and write the solution in interval notation.

Answer:

[tex] \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \div \dfrac{x^2 + 2x - 3}{x^2 - 7x + 10} = [/tex]

[tex] = \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \times \dfrac{x^2 - 7x + 10}{x^2 + 2x - 3} [/tex]

[tex] = \dfrac{(x + 3)(x - 2)}{(x - 1)(x - 5)} \times \dfrac{(x - 5)(x - 2)}{(x - 1)(x + 3)} [/tex]

[tex] = \dfrac{(x + 3)(x - 2)(x - 5)(x - 2)}{(x - 1)(x - 5)(x - 1)(x + 3)} [/tex]

[tex] = \dfrac{(x - 2)(x - 2)}{(x - 1)(x - 1)} [/tex]

[tex] = \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]

Answer:

The answer is V= ([tex]\pi[/tex]) ([tex]x-3^{2}[/tex]) (2x+7).

Step-by-step explanation:

To find the volume of the cylinder, plug in the information given in the question into the formula for the volume of a cylinder, which is V = [tex]\pi[/tex] [tex]r^{2}[/tex] h.  

Answer and Step-by-step explanation:

To figure out, we plug in the x-value into the equation and see if it is equal to the y-value.

y = 3(2) - 5

y = 6 - 5

y = 1

5 ≠ 1

The point (2, 5) is not a solution.

#teamtrees #PAW (Plant And Water)

Answer:

1. 10,12,14

2. 10,16,20

3. 3,23,61

Step-by-step explanation:

for example  2(3+r)

r would be 2 but it gave you that on the chart in the highlighted area

u replace it and it becomes 2(3+2)

distribute 2 and 3 and it becomes 6 then distribute 2 and 2 which becomes 4 then you add 6+4 which gives u 10 which is the first answer.

Answer:

-2/3 -3/5 -1/2 3/8

..................……

Answer:

Step-by-step explanation:

★1. The farmers' crops are destroyed when there are heavy rains which

result to flooding.

★2. Loss of lives and damage to properties happen due to fiooding and

landslides

★3. Thousands of families become homeless.

•4. Fishermen can go fishing and abundant catch awaits them.

★5. The power supply is cut off for several days as falling trees destroy the

electric posts and power lines.

★6. People lose their homes and means of livelihood.

•7. The prices of basic commodities become cheaper.

•8. People visit malls for shopping.

•9. A few houses of first-class materials are partially damaged,

•10. Children play on the playground.

Answer:

[tex]\sec\theta=\sqrt{1+\tan^2\theta}[/tex]

Step-by-step explanation:

The trigonometric identity is :

[tex]\sec^2\theta-\tan^2\theta=1\\\\or\\\\\sec^2\theta=1+\tan^2\theta[/tex]

We need to express secθ in terms of tanθ.

The above equation becomes,

[tex]\sec\theta=\sqrt{1+\tan^2\theta}[/tex]

Hence, this is the required solution.

it is true

tbh am not sure

Answer:

The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.

Step-by-step explanation:

Let a = number of type A vials.

Let b = number of type B vials.

38.85a + 30.34b = 1695.71

a + b = 50

            38.85a + 30.34b = 1695.71

(+)        -38.85a - 38.85b = -1942.50

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

                               -8.51b = -246.79

b = 29

a + b = 50

a + 29 = 50

a = 21

Answer: The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.

Answer:

17.907082 unit

Step-by-step explanation:

According to the Question,

Given, A circle with centre F, ∠EFG=54 and EF=19 .

length of arc EG = Radius(EF) × ∠EFG(in Radian)

length of arc EG = 19 x 0.942478 ⇔ 17.907082 unit

(For Diagram please find in attachment)

Answer:

[tex]2x^2y\sqrt[3]{7xy^2}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[3]{56x^7y^5}[/tex]

Required

Solve

Expand

[tex]\sqrt[3]{8*7*x^6*x*y^3*y^2}[/tex]

Rewrite as:

[tex]\sqrt[3]{8*x^6*y^3*7*x*y^2}[/tex]

Split

[tex]\sqrt[3]{8*x^6*y^3} *\sqrt[3]{7*x*y^2}[/tex]

Express 8 as 2^3

[tex]\sqrt[3]{2^3*x^6*y^3} *\sqrt[3]{7*x*y^2}[/tex]

Apply law of indices

[tex]2^{(3/3)}*x^{(6/3)}*y^{(3/3)} *\sqrt[3]{7*x*y^2}[/tex]

[tex]2*x^2*y *\sqrt[3]{7*x*y^2}[/tex]

[tex]2x^2y *\sqrt[3]{7xy^2}[/tex]

[tex]2x^2y\sqrt[3]{7xy^2}[/tex]

g(-1) = -1, g(2) + g(1) = 7

Step-by-step explanation:

Given: g(x) = x³ + x² - x - 2

g(-1) ==> x = -1

g(-1) = (-1)³ + (-1)² - (-1) - 2

g(-1) = -1 + 1 + 1 - 2

g(-1) = -1

g(2) ==> x = 2

g(2) = (2)³ + (2)² - (2) - 2

g(2) = 8 + 4 - 2 - 2

g(2) = 8

g(1) ==> x = 1

g(1) = (1)³ + (1)² - (1) - 2

g(1) = 1 + 1 - 1 - 2

g(1) = -1

g(2) + g(1) = 8 + (-1) = 7

Answer:

[tex]Area = 216.108cm^2[/tex] --- You

[tex]Area = 216.940cm^2[/tex] --- Another student

Reason: Because there is a variation in the given dimensions

Step-by-step explanation:

Given

Your measurement

[tex]Length = 20.70cm; Width =10.44cm[/tex]

Another students'

[tex]Length = 20.74cm; Width =10.46cm[/tex]

Solving (a): The area

Area is calculated as:

[tex]Area = Length * Width[/tex]

For you

[tex]Area = 20.70cm * 10.44cm[/tex]

[tex]Area = 216.108cm^2[/tex]

For the other student

[tex]Area = 20.74cm * 10.46cm[/tex]

[tex]Area = 216.940cm^2[/tex]

Solving (b): Reason for the variation in the areas

The given measurements are estimates of the dimensions of the rectangle.

Since there is a variation in the estimates, there will be some level of variation in the calculated area.

Answer:

1042.5

Step-by-step explanation:

Given :-

Using Unitary Method :-

→ Cost of 1 m is P 69.95

→ Cost of 15m is P ( 69.5 * 15 ) = P 1042.5

Answer:

m = 1 (since the gradient of parallel lines is the same)

Then substitute point (-1;2)

C = 3

y = x+3

Answer:

Answer D

Step-by-step explanation:

pi * 3 * 12 gives roughly 113. Even ignoring the exact value of the ball shape cut in half, it's the only remotely plausible solution

brainliest should be possible with 2 answers btw

Answer:

B = 12.84

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin B = opp/ hyp

sin B = 2/9

Taking the inverse sin of each side

sin ^-1 ( sin B) = sin ^-1( 2/9)

B =sin ^-1(2/9)

B =12.83958841

To the nearest hundredth

B = 12.84

Answer:

D and E

Step-by-step explanation:

The simplified expression is 14x + 10.

The correct option is E (14x + 10), which matches the simplified form of the original expression.

To simplify the expression 12x - 3 + 2x + 13, we can combine like terms. Like terms are terms that have the same variable(s) raised to the same exponent(s).

First, we combine the x terms, which are 12x and 2x. Their sum is 14x.

Next, we combine the constant terms, which are -3 and 13. Their sum is 10.

Therefore, the simplified expression is 14x + 10.

Among the given options, the expression 14x + 10 is the correct one.

Option A (10x + 16) is not equivalent to the original expression because it does not combine the x terms correctly.

Option B (14x + 16) is not equivalent to the original expression because it does not account for the constant term correctly.

Option C (17x + 13) is not equivalent to the original expression because it combines the x terms incorrectly and does not account for the constant term correctly.

Option D (2(7x+5)) is not equivalent to the original expression because it is a different expression altogether, factoring out the common factor of 2 from the terms.

To learn more about the equivalent expression;

https://brainly.com/question/28170201

#SPJ6

Answer:

yes

Step-by-step explanation:

y = 4x + 4

24 = 4(5) + 4

24 = 20 + 4

24 = 24

Answer:

1. B

2. B

3. B

4. A

5. D

6. A

7. C

8. D

9. A

10. C

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answer:

y=3x-2

Step-by-step explanation:

y = mx + b

m = slope

b=yint

y=3(slope)x+ -2(y int)

Answer:

The null hypothesis is [tex]H_0: p \geq 0.2[/tex]

The alternative hypothesis is [tex]H_1: p < 0.2[/tex]

The p-value of the test is of 0.0154 > 0.01, which means that at the 0.01 significance level, there is not significant evidence that the return rate is less than 20%.

Step-by-step explanation:

Test the claim that the return rate is less than 20%.

At the null hypothesis, we test if the return rate is of at least 20%, that is:

[tex]H_0: p \geq 0.2[/tex]

At the alternative hypothesis, we test if the return rate is less than 20%, that is:

[tex]H_1: p < 0.2[/tex]

Normal distribution as an approximation to the binomial distribution to find the Z-score.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

0.2 is tested at the null hypothesis. Sample of 6957.

This means that [tex]p = 0.2, n = 6957[/tex]. So

[tex]\mu = E(X) = np = 6957*0.2 = 1391.4[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6957*0.2*0.8} = 33.36[/tex]

1319 surveys returned

This means that, due to continuity correction, [tex]X = 1319 + 0.5 = 1319.5[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1319.5 - 1391.4}{33.36}[/tex]

[tex]Z = -2.16[/tex]

P-value of the test:

The p-value of the test is the probability of 1319 or less people returning the survey, which is the p-value of Z = -2.16.

Looking at the z-table, Z = -2.16 has a p-value of 0.0154.

The p-value of the test is of 0.0154 > 0.01, which means that at the 0.01 significance level, there is not significant evidence that the return rate is less than 20%.

Answer:

1. -6

Step-by-step explanation:

a1 = 150

a2 = a1 - 4 = 150 - 4 = 146

a3 = a2 - 4 = a1 - 4 - 4 = 146 - 4 = 150 - 4 - 4 = 142

...

=>

an = a1 - (n-1)×4

=>

a40 = a1 - 39×4 = 150 - 156 = -6

Answer:

337.5 g

Step-by-step explanation:

mass=volume x density=112.5 x 3=337.5

Answer:

I think the answer for this is the Dimm slots