what is the solution to the equation 5x = -4?​

Answer:

area=10.15 cm

Step-by-step explanation:

a=h*b/2

a= 2.9*7/2

a= 10.15

9514 1404 393

Answer:

Step-by-step explanation:

The minimum will be found at the ends of the interval, where f(t) = 0.

The maximum is found in the middle of the interval, where f'(t) = 0.

  [tex]f(t)=\sqrt[3]{t}(20-t)\\\\f'(t)=\dfrac{20-t}{3\sqrt[3]{t^2}}-\sqrt[3]{t}=\sqrt[3]{t}\left(\dfrac{4(5-t)}{3t}\right)[/tex]

This derivative is zero when the numerator is zero, at t=5. The function is a maximum at that point. The value there is ...

  f(5) = (∛5)(20-5) = 15∛5

The absolute maximum on the interval is 15∛5 at t=5.

Answer:

D

Step-by-step explanation:

Question: Solve for x and y in the equation.

xy=80 and log x - 2 log y =1

Answer:

x = 40, y = 2

Step-by-step explanation:

xy = 80.......................... Equation 1

logx-2logy = 1

logx-logy² = 1

Applying the laws of logarithm,

log(x/y²) = log10

x/y² = 10

x  = 10y²......................... Equation 2

Substitute the value of x in therms of y equation 2 into equation 1

10y²(y) = 80

10y³ = 80

y³ = 8

y = [tex]\sqrt[3]{8}[/tex]

y = 2.

Substitute the value of y into equation 1

2x = 80

x = 80/2

x = 40

Therefore,

x = 40, y = 2

Answer:

A) The risk of committing Type I error would imply that an unsafe drug is approved. However, the risk of committing a Type II error would imply that a drug is safe but not approved.

B) They are trying to avoid type I error because they don't want drugs that are unsafe to be approved.

C) They are trying to avoid type II errors because the companies would have to continue testing even when the drugs are safe.

D) To lower the chances of type I error, the significance level has to be reduced and they need to make sure that the tests are run for longer periods so that a good representation of the sample size would have been tested which means we are increasing the credibility of the test results.

To lower the chances s of type II error, we have to ensure we increase the sample size and decrease the variants of the drugs.

Step-by-step explanation:

In errors in statistics, we can define type I error as when the null hypothesis is rejected even when it is true while a type II error is when we fail to reject the null hypothesis even when it is false.

A) The null hypothesis in this question is that a drug is unsafe. Thus, the risk of committing Type I error would imply that an unsafe drug is approved. However, the risk of committing a Type II error would imply that a drug is safe but not approved.

B) The consumer groups feel that too many approved drugs are found out later to be unsafe. Thus, they don't want drugs that are unsafe to be approved and it means they are trying to avoid type I error.

C) The error that the Industry lobbyists are trying to avoid is the Type II error. This is because the companies would have to continue testing even when the drugs are safe.

D) To lower the chances of type I error, the significance level has to be reduced and they need to make sure that the tests are run for longer periods so that a good representation of the sample size would have been tested which means we are increasing the credibility of the test results.

To lower the chances s of type II error, we have to ensure we increase the sample size and decrease the variants of the drugs.

Answer: 72

Step-by-step explanation:

Answer:

addition=24

subtraction=6

multiplication=720

division=1.8

Answer:

27.99996931510212 months

Rounded to the nearest tenth: 28 months

Step-by-step explanation:

Answer:

y= -3x + 3

Step-by-step explanation:

the point given tells you the y-int

given that y=mx + b, you can plug in the values

y= -3x + 3

Answer: 12?

Step-by-step explanation:

Answer:

Slope is -2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i think

Answer:

C

Step-by-step explanation:

Answer: F

Step-by-step explanation:

Answer:

Step-by-step explanation:

Coordinates of the vertex A → (-4, -6)

Coordinates of the vertex A' → (6, 6)

Since, y-coordinates are same opposite in notation,

Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.

And points A and A' will be equidistant from the line of reflection.

Midpoint between A and A' = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

                                              = [tex](\frac{-4+6}{2},\frac{-6+6}{2})[/tex]

                                              = (1, 0)

Therefore, x = 1 will be the line of reflection.

Answer:

Center... Mean

Step-by-step explanation:

The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order.

Answer:

70 club members in all

Step-by-step explanation:

we know that 14 people is equal to 20%

we also know that to get 20% to 100% you multiply by 5

So, what I did was mmultiply 14 by 5 therefore bringing 14 (20%) to 70 (100%)

hope this makes sense. for other values you could just see what to multiply the percent by to get to 100 and multiply the known number by that value.

hope this helps <3

Answer:

70 members

Step-by-step explanation:

Whatever the % is, the answer on the right side of the equation must by 14

So 20% of some number = 14.

20/100 x = 14                Remember 20% = 20 / 100. Multiply by 100

20x = 14*100

20x = 1400                   Divide by 20

x = 1400/20

x = 70

There are 70 members in the club.

Kids are done no differently.

The number of people who fulfill the condition goes on the right. The left contains the % and an unknown.

Answer:

it should be the second one

Step-by-step explanation:

.........

Answer:

B

Step-by-step explanation:

the graph of a quadratic cannot be a straight line.

Answer:

I am not sure

Step-by-step explanation:

Sorry

The invested amount will be k 521.56 after 4 years 8 months if Mr. Kabi invests k375 at a simple interest rate of 8.375 per annum.

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

It is given that:

Mr Kabi invest k375 at a simple interest rate of 8.375 per annum

The invested amount = k 375

Rate of interest = 8.375 per anum

Rate of interest = 8.375/12 per month

Rate of interest = 0.6979 per month

Number of months = 4x12 + 8 = 56

As we know, the formula for the simple interest is given by:

A = P(1 + rt)

A = 375(1 + 0.6979×56)

A = k 521.56

Thus, the invested amount will be k 521.56 after 4 years and 8 months if Mr. Kabi invests k375 at a simple interest rate of 8.375 per annum.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ2

Answer:

Student A Mean: 697/8=87.125

Student A Mean Absolute Deviation: 7.1563

Student B Mean: 756/9=84

Student B Mean Absolute Deviation: 7.3333

Answer:

According to the Central Limit theorem, the distribution is roughly normal

Step-by-step explanation:

The Central Limit Theorem states that for sample sizes above 30 and not withstanding population distribution's shape, the sampling distribution of the sample mean becomes more similar t hat of a normal distribution as the sample size increases;

The size of the sample = 1,000 >> 30

As the sample size approaches infinity, we have;

[tex]z=\dfrac{\bar{x}-\mu }{\dfrac{S.D.}{\sqrt{n}}}[/tex]

[tex]\overline x[/tex] = 1.5

S.D. = 1.8

n = 1000

Assume μ = 1, we get;

[tex]P(x > 1.1):z=\dfrac{1.1-1 }{\dfrac{1.8}{\sqrt{1000}}} = 1.7568[/tex]

P(z > 1.7568) = 1 - 0.96080 = 0.0392

Therefore, it is very likely that the mean of the population is not larger than the sample mean

Therefore, yes, the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal

Answer:

[tex]x > 15.7[/tex]

Step-by-step explanation:

1) Add 5 to both sides.

[tex]x > 10.7 + 5[/tex]

2) Simplify 10.7 + 5 to 15.7.

[tex]x > 15.7[/tex]

Therefor, the answer is x > 15.7

Answer:

[tex]x \geq 15.7[/tex]

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

Inequality Form: 15.7

Hope this helps

Answer:

1224

Step-by-step explanation:

12 x 12 = 144 then do 144 x 6 = 864

15 x 12 x 1/2 = 90 then 90 x 4 = 360

Add 864 + 360 = 1224

BUT

I am not sure if this is correct. I looked up this equation and I see that it says the answer is 1080 so let me know which one you got right

9514 1404 393

Answer:

  $7

Step-by-step explanation:

Let r and g represent the costs of a rose bush and a geranium, respectively. The given relations are ...

  14r +12g = 206

  g = 2r -5

Using the second equation to substitute for g in the first equation, we have ...

  14r +12(2r -5) = 206

  38r -60 = 206

  38r = 266

  r = 266/38 = 7

The cost of one rose bush is $7.

Answer:

-57

Step-by-step explanation:

f(-8)=6(-8)-9

f(-8)=-48-9

f(-8)=-57

Answer:

1st answer is

[tex](x.y) = ( \frac{38}{5} . \frac{2}{5} ) \\ [/tex]

2nd answer is (x, y) =(36, 45)

Answer:  S = 2(lw + lh + wh)

Step-by-step explanation:  Use this formula to find the total surface area of a prism.