What are the solutions to the quadratic equation 100 = 4(x + 4)2?

Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

Answer:

CAB is 37 degrees

Step-by-step explanation:

90 + 53 = 143

180 - 143 = 37

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

The test statistic value  t =  1.64 < 2.0086 at 0.05 level of significance

Null hypothesis is accepted

The mean portfolio value for all senior citizen shareholders in this region might not be the same as the mean value reported for their counterparts across the nation

Step-by-step explanation:

Step(i):-

Given mean of the population (μ) =  $183,000

Given mean of the sample (x⁻)  = $198,000

Given standard deviation of the sample (S) =  $65,000.

Mean of the sample size 'n' = 51

level of significance  α = 0.05

Step(ii):-

Null hypothesis : H₀ : There is no significance difference between the means

Alternative Hypothesis :H₁: There is  significance difference between the means

Test statistic

             \(t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

           \(t = \frac{198,000- 183,000 }{\frac{ 65,000}{\sqrt{51} } }\)

          t =  1.64

Step(iii)

Degrees of freedom  ν = n-1 = 51-1 =50

t₀.₀₅ =  2.0086

The calculated value  t =  1.64 < 2.0086 at 0.05 level of significance

Null hypothesis is accepted

Final answer:-

There is no significance difference between the means

The mean portfolio value for all senior citizen shareholders in this region might not be the same as the mean value reported for their counterparts across the nation

Answer:

7:4 that would be the ratio

Answer:

4;64

5;125

Step-by-step explanation:

Find the cube of the number

E.g. (5x5)x5

=25x5

=125

Answer:

Option C

Step-by-step explanation:

The total number of blocks y is three raised to the figure number x.

y = x³

Answer:

12 \(\frac{1}{4}\)

Step-by-step explanation:

substitute the given values for p and q into the expression

p² + 3q²

= (- \(\frac{1}{2}\) )² + 3(- 2)²

= \(\frac{1}{4}\) + 3(4)

= \(\frac{1}{4}\) + 12

= 12 \(\frac{1}{4}\)

From the interquartile range of the distribution, the fences for non-outliers are given as follows:

The quartiles of the distribution are given as follows:

The interquartile range of a distribution is given by the difference of the third quartile by the first quartile, that is:

IQR = Q3 - Q1.

Outliers are given by:

For this problem, the IQR is:

IQR = 529.7 - 273.8 = 255.9.

Hence the fences are:

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To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

Answer:

3 times 4 = 12 BIG BRAIN!!!

Answer:

12/4 =c

Step-by-step explanation:

Answer:

51 degees

Step-by-step explanation:

y= 180 -57-61

y = 62 degrees

x = 180 - 67 - 62

x = 51 degrees

To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

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Answer:

120,000 ft^3

Step-by-step explanation:

step 1: 20ft times 150ft is 3000ft.

step 2: 3000ft times 40ft^3 is 120,000ft^3

Answer:

AAS

Step-by-step explanation:

It will be angle angle side because you are given a side and two angles, and when you put them in the correct order, you will get AAS, or SAA (not the correct way to say it)

Answer:

7 1/3 weeks

Step-by-step explanation:

Divide 16 1/2 km by (2 1/4 km/wk).  We get:

   16.5 km

--------------------- = 7 1/3 weeks

  2.25 km/wk

The requried dimensions for the four different rectangles are described.
Rectangle #1: 8 x 8
Rectangle #2: 4 x 4
Rectangle #3: 3 x 3
Rectangle #4: 1 x 4

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
Let's call the length of Rectangle #1 "L₁" and the width "W₁". Similarly, we'll call the length and width of the other rectangles "L₂", "W₂", "L₃", "W₃", "L₄", and "W₄". Then we can use the given clues to set up equations and solve for the dimensions of each rectangle:

The area of Rectangle #1 is twice the number representing the perimeter, and the width is 8 units:

Area of Rectangle #1 = L₁ * W₁ = 2 * (2L₁ + 2W₁)

8L₁ = 4L₁ + 4(8)

8L₁ = 4L₁ + 32

L₁ = 32/4

L₁ = 8

So Rectangle #1 is a square with a side length of 8.

• Rectangle #2 has the same area and perimeter as Rectangle #1, but the perimeter of Rectangle #2 is 1/2 the perimeter of Rectangle #1:

Area of Rectangle #2 = L₂ * W₂ = L₁ * W₁ = 64

Perimeter of rectangle 2(L₂ + W₂) = L₁ + W₁ = 16

L₂ + W₂ = 8

We can choose any two values that add up to 8 for the length and width of Rectangle #2, since we know the area is 64.

• Rectangle #3 has the same length as Rectangle #1 and an area equal to the difference between the areas of Rectangles #1 and #2:

Area of Rectangle #3 = L3 * W3 = (L1 * W1) - (L2 * W2)

L3 * W3 = (8 * 8) - (L2 * W2)

L3 * W3 = 64 - (L2 * W2)

Similarly, the dimensions for each rectangle are,

Rectangle #3: 3 x 3

Rectangle #4: 1 x 4

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The domain of function f(x) is given as follows:

{x | 1 ≤ x < 5}.

The values of x of the function given at the end of the answer are as follows:

Hence the domain is given as follows:

{x | 1 ≤ x < 5}.

The function is given by the image presented at the end of the answer.

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Answer:

A - {x | 1 < x < 5}

Step-by-step explanation:

took the Quiz

The degrees of freedom is 21, the critical values correspond to the points where the chi-square distribution curve separates the rejection and non-rejection areas and chi-square test statistic is 27.

The null and alternative hypotheses can be stated as follows:

Null Hypothesis (H0): The population variance is equal to 14.

Alternative Hypothesis (Ha): The population variance differs from 14.

To find the critical values of χ2 with α = 0.05, we need to determine the degrees of freedom first.

For a sample variance, the degrees of freedom (df) is given by (n - 1), where n is the sample size.

In this case, n = 22, so the degrees of freedom is 21.

Using a chi-square table or statistical software, we can find the critical values for a chi-square distribution with 21 degrees of freedom and α = 0.05.

The critical values correspond to the points where the chi-square distribution curve separates the rejection and non-rejection areas.

To determine the test statistic χ2 value, we need to calculate the chi-square test statistic using the given information.

The chi-square test statistic is calculated as:

χ2 = (n - 1) ×(sample variance) / (population variance)

Plugging in the values, we have:

χ2 = (22 - 1) × 18 / 14

=27

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Answer:

6/49  

Step-by-step explanation:

-2/7  *   -3/7   = (-2 * -3) / (7*7) =  6/49

Answer:

isosceles triangle

Step-by-step explanation:

first by using corresponding angle theorem:

<A=<C

<A=50°

then by using exterior angle theorem:

<A+<C=<B(the outer angle)

50°+<C=<B,<B=180°-80°(angle B lies in a staight line)

<B=100°

50°+<C=100°

<C=50°

Answer: B

Step-by-step explanation:

The value of tan (A - B) is (-5 + 12√13) / (12+ 5√13)

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

tan (B) = - √13

Since sin(A) = 5/13  (opposite/hypotenuse)

adjacent = √(13² - 5²) = 12 units

Since π/2 < A < π, adjacent = -12

Thus, tan (A) = -5/12

Applying the angle difference formula,

tan (A - B) = (tan A - tan B) / (1 + tan A tan B)

tan (A - B) =  (-5/12 - (- √13)) / (1 + (-5/12)×(-√13))

tan (A - B) = (-5/12 + √13) / (1 + (5√13)/12)

tan (A - B) = (-5 + 12√13) / (12+ 5√13)

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If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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Answer:

4:6

Step-by-step explanation:

4:6

8:12

12:18

16:24

Answer:

2:4

Step-by-step explanation:

\(s = \frac{cardinality(s)}{cardinality( \omega)} = \frac{15}{100} = \frac{1.5}{100} \)

The shaded region represents 1.5 grids

\(1.5 = 1 \frac{0.5}{1} = 1 \frac{5}{10} = 1\frac{1}{2} \)

Answer:

D

Step-by-step explanation:

The answer and work is in the attached screenshot! :)

Answer:

72

Step-by-step explanation:

Answer: mmm when I did it it going to be the same answer because There are no like terms. Here look at the picture

Step-by-step explanation: hope this help

Answer:

63

Step-by-step explanation:

28 = 100%

___= 125%

\( \frac{28 \times 125}{100} = 35\)

the question says increase 28 by 125%

125% of 28 = 35

so add 28+35=63

answer= 63