Please help if you can

Answer:

it already is in standard form

Step-by-step explanation:

Since ABCD is an isosceles trapezoid, we know that AB = CD. Additionally, we know that AD = BC. Therefore, we can set up two equations:

AB = CD

AD = BC

Using the fact that B = x + 10 and C = 2x - 30, we can substitute those values into the equations:

AB = CD

x + 10 + AD = 2x - 30 + BC

Since AD = BC, we can simplify the second equation to:

x + 10 + AD = 2x - 30 + AD

x + 10 = 2x - 30

x = 40

Now that we know x, we can find the measures of angles B and C:

B = x + 10 = 50

C = 2x - 30 = 50

Since ABCD is an isosceles trapezoid, we know that angles B and C are congruent. Therefore, each of them measures 50 degrees. Since the sum of the angles in a quadrilateral is 360 degrees, we can set up the equation:

A + B + C + D = 360

Substituting in the values we have:

A + 50 + 50 + D = 360

Simplifying the equation:

A + D = 260

Since ABCD is an isosceles trapezoid, we know that angles A and D are congruent. Therefore, we can set up the equation:

A + D = 2D

Substituting in the value we have:

2D = 260

Simplifying the equation:

D = 130

Therefore, the measure of angle D is 130 degrees.

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Answer:

it's not a square number cause it says 5⁹ and ⁹ is not squared ³ is

Step-by-step explanation:

A higher confidence interval means less power which in turns means a smaller rejection religion.So our confidence interval would become wider.

Answer:

$16

Step-by-step explanation:

You would just multuply the amount of time and the amount of money it costs.

Answer:

$1

Step-by-step explanation:

4 divided by 4 is 1 like the other person said. You can give them brainliest.

Hope It Helps

The pair of figures having same volume are:

a. The cylinder has a radius of 3 units and a height of 8 units ; The cone has a radius of 6 units and a height of 6 units.

b. The cone has a radius of 8 units and a height of 9 units ; The cylinder has a radius of 4 units and a height of 12 units.

c. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units ; The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

What is volume of a figure?

Volume is a unit of measurement for three-dimensional space. It is usually stated quantitatively in terms of a number of imperial or US-standard units as well as SI-derived units.

i. The cone has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(4^{2} \frac{12}{3}\)

⇒ Volume = 64 π

⇒ Volume = 201 cubic units

ii. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 18 * 6 * 6

⇒ Volume = 648 cubic units

iii. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 16 * 6 * 6

⇒ Volume = 576 cubic units

iv. The cylinder has a radius of 3 units and a height of 8 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(3^{2}\) * 8

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

v. The cone has a radius of 8 units and a height of 9 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(8^{2} \frac{9}{3}\)

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

vi. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

⇒ Volume = length * width * height

⇒ Volume = 8 * 8 * 9

⇒ Volume = 576 cubic units

vii. The cylinder has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(4^{2}\) * 12

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

viii. The cone has a radius of 6 units and a height of 6 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(6^{2} \frac{6}{3}\)

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

Hence, three pairs have the same volume.

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The missing figures have been attached below.

Answer:

5

(

2

)

3

=

5

×

8

=

40

bacteria 345 minutes from now

Step-by-step explanation:

5

(

2

)

3

=

5

×

8

=

40

bacteria 345 minutes from now

The average value of f(x) = cos(8x) on the interval [0, π/2] is found to be 0.0502.

We are given a function f(x) = cos(8x) and we are to find its average value over the interval [0, π/2].

Formula for the average value of a function over an interval [a, b] is:

Average value of

f(x) = (1/(b-a)) * ∫[a,b] f(x) dx

Substituting the given values, we get

Average value of f(x)

= (1/(π/2 - 0)) * ∫[0,π/2] cos(8x) dx

Integrating cos(8x), we get

∫cos(8x) dx = (sin 8x)/8

Putting the limits, we get

Average value of f(x)

= (1/(π/2)) * [sin(π) - sin(0)]/8

= (2/π) * 0.125

= 0.0502 (approx)

Therefore, the average value of f(x) = cos(8x) on the interval [0, π/2] is 0.0502.

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Geometric sequences have the same ratio between consecutive numbers. The number of coins on E, F, G, and H are 16, 32, 64, 128, and 256.

A geometric sequence is a series of numbers where the ratio between two consecutive numbers is the same.

As we can see that the number of coins in each column of row one is increasing by a factor of 2 towards the right, therefore, the number of coins on each square can be given as,

\(\text{Number of coins} = 2^n\)

where n is the count of the column from the right.

Therefore,

A = 1

B = 2

C = 3

and so on, using the same, the number of coins on D, E, F, G, and H are,

\(A = 2^1=2\\B= 2^2 = 4\\C = 2^3 =8\\D = 2^4 = 16\\E = 2^5=32\\F = 2^6=64\\G=2^7= 128\\H=2^8 = 256\)

Hence, the number of coins on A, B, C, D, E, F, G, and H are 1, 2, 4, 8, 16, 32, 64, 128, and 256.

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Answer:

The answer is

A= 1,

B=2,

C=4,

D=8,

E=16,

F=32,

G=64,

H=128

The total number of pennies on Row 1 is 255

Sample Answer: My prediction was less than the actual count. Instead of multiplying the number squares by a guess for the average, estimate the pennies on the last square to help guide the estimate.

The given homogeneous system of equations can be represented as a matrix equation Ax = 0, where A is the coefficient matrix and x is the vector of variables.

To find the solution set in parametric vector form, we can perform row operations on the augmented matrix [A|0] and express the variables in terms of free parameters.

The augmented matrix for the given system is:

[3 3 6 | 0]

[-9 -9 -18 | 0]

[0 -7 -7 | 0]

Using row operations, we can transform this matrix to row-echelon form:

[3 3 6 | 0]

[0 -6 -12 | 0]

[0 0 -7 | 0]

Now, we can express the variables in terms of free parameters. Let x2 = t and x3 = s, where t and s are arbitrary parameters. Solving for x1 in the first row, we get x1 = -2t - 2s.

Therefore, the solution set in parametric vector form is:

x = [-2t - 2s, t, s], where t and s are arbitrary parameters.

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Answer:

black people

Step-by-step explanation:

These values are based on the t-distribution table and represent critical values for the given probabilities and degrees of freedom.

To answer this question, we need to use a t-table. The values we are looking for are the t-values associated with specific probabilities and degrees of freedom.

(a) t0.10, 10 = 1.372 (from the t-table, using 10 degrees of freedom and the probability of 0.10)

(b) t0.05, 10 = 1.812 (from the t-table, using 10 degrees of freedom and the probability of 0.05)

(c) t0.05, 21 = 1.721 (from the t-table, using 21 degrees of freedom and the probability of 0.05)

(d) t0.05, 60 = 1.671 (from the t-table, using 60 degrees of freedom and the probability of 0.05)

(e) t0.005, 60 = 2.660 (from the t-table, using 60 degrees of freedom and the probability of 0.005)

Note that we round all answers to three decimal places, as specified in the question. The values we have found are the t-values for the specified probabilities and degrees of freedom. These values can be used in calculations involving t-distributions.

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The number of employees that chose pink would be = 128 employees.

To calculate the number of employees that chose pink is to convert the percentage values from the circle diagram to an ordinary value.

From the diagram, the percentage of pink = 40%

The total number of employees = 320

Therefore 40% of 320;

= 40/100×320

= 12800/100

= 128 employees.

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Answer:

(6,2)

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

becuase there are multipe x values that are the same

The value of the area of the circle rounded to the nearest whole number is 154 \(cm^2\).

What does the area of circle mean?

A circle's area is the area that it takes up in a two-dimensional plane. The formula for the area of the circle is \(\pi r^2\)

Circumference of the circle=2*pi*r

The radius of the circle=r.

It is given that Circumference-radius=37 cm.

It is also given that pi=3.14, by substituting this we will get:

6.28r-r=37cm

r=37/5.28cm

r=7.0075cm

The value of the radius of the circle rounded to the nearest whole number is 7cm.

The area of the circle= \(pi*r^2\)

Area of the circle = 3.14*7*7 \(cm^2\).

Area = 154 \(cm^2\).

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Answer:

Step-by-step explanation:

11 \(\frac{1}{2}\) + \(\frac{5}{8}\)

make all the fractions an improper fraction

(11×2)+1/2 = 23/2

(3x5)+5/8 = 29/8

you need to make sure both fractions have a common denominator

to make 23/2 common with 5/8 you multiply 23/2 by 4/4

wich will make 92/8

continiue with the question

92/8 + 29/8= 121/8

simplify by dividing by 8 to get a mixed number

15 1/8

Answer: The question is not complete. the figure is attached below.

The polygon is a rectangle.

Step-by-step explanation:

Line 1 goes through (-2, 3)

hence the slope of line 1 = -3/2

Line 2 goes through (0, 3) (2, 0)

hence the slope of line 2 = -3/2

Line 3 goes through (0, 1) (-3, 1)

hence the slope of line 3 = 2/3

Line 4 goes through (3, 0) (0, -2)

Hence the slope of line 4 = 2/3

therefore -3/2 * 2/3 = -1

Line1 + Line3      Line1 + Line4       Line2 + Line3        Line2+Line4

because, the distance between Line1 and Line2 is not equal to that Line3 and Line4.

The polygon is a rectangle polygon.

hi, I'm no bot just in case...

the grapgh of the line shows y intercept of -9 and rate of change by 4

SoThe equation of the lline will be: \(y=4x-9\)

Under the assumption of uniform iron beam and definition of uniform density, the total mass of the iron beam is equal to 81931.2 grams.

Let suppose that the iron beam has an uniform density, the mass of the iron beam (m), in gram, is equal to the product of its density (ρ), in grams per cubic centimeter, and its volume (V), in cubic centimeters:

m = ρ · V     (1)

If we know that ρ = 10504 cm³ and V = 7.8 g/cm³, then the mass of the iron beam is:

m = (7.8 g/cm³) · (10504 cm³)

m = 81931.2 g

Under the assumption of uniform iron beam and definition of uniform density, the total mass of the iron beam is equal to 81931.2 grams.

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Cost of Goods Manufactured is an accounting term used to describe the total cost of producing and manufacturing goods. It includes all direct and indirect costs of production, including labor, materials, overhead, and other expenses. Below are the five components of the cost of goods manufactured.

Direct Materials: It includes the cost of raw materials used in manufacturing a product.

Direct Labor: It includes the wages paid to workers who directly worked on the production line or in manufacturing a product.

Factory Overhead: It includes all indirect costs of manufacturing a product such as depreciation on equipment, rent, insurance, utilities, etc. Work-in-Process

Inventory: It includes the cost of materials, labor, and overhead that has been incurred but has not yet been completed. Finished Goods Inventory: It includes the cost of goods that have been fully manufactured but have not yet been sold.

To calculate the cost of goods manufactured, the sum of all these five components is calculated. It helps manufacturers to determine the total cost of goods manufactured and the cost per unit of production. Cost of goods manufactured is essential in determining the pricing strategy for a product as it helps to ensure that the product is profitable.

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Seven to the one third is the  power all raised to the third of the  power equals seven to the one of the third times three of  power equals to seven.

Power is the amount that is  the energy of to transferred or the converted per the unit.

Applying Power of a Power Property,

(X^a)^b= x^a×b

i.e. a power to the power, multiply by the exponents  as

7^1/3 =√7

√7=7^1/3

We have given, seven to the  one third power equals to  the cube root of seven of

7^1/3=√7

√7= 7^1/3

Raise to the third power,

[7^1/3]^3

Applying the property ,

7^3/3=7^1 =7

i.e. seven to the one thirdly power all of the raised to the thirdly power equals to  seven to the one of  third times of  three power equals to the  seven.

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The conditional probability that the outcome of the coin toss was heads can be calculated using Bayes' theorem. The conditional probability that the outcome of the toss was heads given that a white ball was selected is 26/63.

Let's denote H as the event that the outcome of the coin toss was heads, and W as the event that a white ball was selected. We want to find P(H|W), the probability of the coin toss being heads given that a white ball was selected.

According to Bayes' theorem, we have:

P(H|W) = P(W|H) * P(H) / P(W)

P(W|H) is the probability of selecting a white ball given that the outcome of the coin toss was headed. Since the first mug is chosen in this case, which contains two white balls out of a total of nine balls, P(W|H) = 2/9.

P(H) is the probability of the coin toss being heads, which is 1/2 since the coin is fair.

P(W) is the probability of selecting a white ball, regardless of the outcome of the coin toss. There are a total of seven white balls out of thirteen balls (two from the first mug and five from the second mug), so P(W) = 7/13.

Therefore, substituting these values into Bayes' theorem:

P(H|W) = (2/9) * (1/2) / (7/13)

Simplifying this expression:

P(H|W) = 26/63

Therefore, the conditional probability that the outcome of the toss was heads given that a white ball was selected is 26/63.

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Answer:

All chapter has words and letters dude next time gives us more context

Step-by-step explanation:

The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

Correlation is the mutual connection between two or more variables. These variables can be dependent or independent but there should be random variables.

Autocorrelation is the degree of correlation between the values of the same variables across different data.

Instead of correlation between two different variables, the correlation is between two values of the same variable at times i and i + k.

It is used for the following two purposes:

- To detect non-randomness in data.

- To identify an appropriate time series model if the data are not random.

Therefore, The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

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The part of the marbles which are blue is  41.7%.

We are given that;

The number of red marbles=3

The number of white marbles=4

The number of blue marbles=5

Now,

To find the part of the marbles that are blue,

we need to find the total number of marbles and the number of blue marbles.

The total number of marbles is:

3 + 4 + 5 = 12

The number of blue marbles is:

5

So the part of the marbles that are blue is:

5/12

Therefore, by probability the answer will be  41.7%

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Answer: 1953125

Step-by-step explanation: multiply 25 times 125 then multiply all of that by 625. It may be a big number but Im pretty sure it's right. Hope this helps.

Answer:

5 to the 2nd power = 25

5 to the 3rd power = 125

5 to the 4th power = 625

Step-by-step explanation:

All you have to do is multiply 5 by itself by what the number is. 5 to the 2nd power is 5 times 5, which is 25.

In the given figure, where triangle QPS = triangle SRQ, the value of

a. x = 47°

b. ∠PQS = 32°

c. ∠PSR = 74°

A triangle is a 3-sided polygon that is occasionally (though not very frequently) referred to as the trigon. Every triangle has three sides and three angles, some of which might be the same.

In a right triangle, the two sides opposite the right angle are referred to as the hypotenuse, and the other two sides are referred to as the legs. All triangles are bicentric and convex. The triangle's interior is that part of the plane it encloses; the exterior is the rest.

Given that  ∆QPS ≈ ∆SRQ

a) ∠QPS = ∠QRS

106° = 2x + 12

106° - 12 = 2x

2x = 94°

x = 47°

b) ∠RSQ = ∠PQS

∠SQR + ∠SRQ + ∠RSQ = 180°

42° + 2(47°) + 12 + ∠RSQ = 180°

148 + ∠RSQ = 180°

∠RSQ = 180° - 148°

∠RSQ = 32°

∠PQS = 32°

c) ∠PSR = ∠PSQ + ∠RSQ

[ ∠PSQ = 42° = ∠SQR ; ∠RSQ = 32°]

∠PSR = 42° + 32°

∠PSR = 74°

Thus, In the given figure, where triangle QPS = triangle SRQ, the value of x = 47°, ∠PQS = 32°, ∠PSR = 74°.

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Answer:

f−1(x)=ln(x+4)/ 2

Step-by-step explanation: