PLEASE HELP Angles C and E are vertical angles. If the measure of angle E is 28.3°, what is the measure of angle C? 16.7° 28.3° 61.7° 151.7°

Answer:

c=4

Step-by-step explanation:

all three angles of a triangle add up to be 180

we can add all of these angles and set it to 180 to find c

88+12c+11c=180

88+23c=180

-88          -88

23c=92

/23.  /23

c=4

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The product of first ten prime number is 6.67*10^9 and the number of zeros are nine.

A zero is formed by the product of 2 and 5. Thus, to find the number of zeroes, we have to find the number of 2s and 5s in 10! We see that there are 8 twos and 2 fives. Since forming a 0 requires a 2 and a 5, only 2 zeroes will be there at the end of 10!

The first 10 primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29

The multiplication of these number is 2*3*5*7*11*13*17*19=~10*50*100*200*667=10^7*667=6.67*10^9

The number of zeros are nine.

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Answer:

  the Pythagorean theorem was used

Step-by-step explanation:

You want to know the missing side in a right triangle with hypotenuse 15 cm and one side 9 cm.

The Pythagorean theorem tells you the relationship between sides 'a' and 'b' and hypotenuse 'c' in a right triangle is ...

  a² +b² = c²

  9² +?² = 15² . . . . use the given values

  ?² = 225 -81 = 144 . . . . subtract 9²

  ? = √144 = 12 . . . . . . . take the square root

The length of the missing side is 12 cm.

__

Additional comment

The little green square in the upper corner tells you that is a right angle, and the triangle is a right triangle.

All units of length are in cm.

one of the answers to your part is 15 ill get the rest done give me 5 minutes

The value of the discrimination for the given equation is 17.

Here we have to find the value of the discrimination for the equation.

Given equation:

√2x² - 5x + √2 = 0

The formula for the discriminant of the equation for the general equation ax² + bx + c = 0

D = b² - 4ac

As the equation is given:

√2x² - 5x + √2 = 0

a = √2

b = -5

c = √2

So D = b² - 4ac

        = (-5)² - 4√2×√2

        = 25 - 4×2

        = 25 - 8

        = 17

Therefore the value of the discriminant is 17.

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Using the given ratio we can see that there are 27 units of potassium on the sample.

We know that the ratio of nitrogen to potassium in a sample of soil is 12:9.

So for each 12 units of nitrogen, we have 9 units of potassium.

So if we have N units of nitrogen, the units of potassium are given by:

P = N*(9/12)

In that sample, we have 36 units of nitrogen, using the formula written above we will get:

P = 36*(9/12) = 27

There are 27 units of potassium on the sample.

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The functions that model a mountain with steeper sides are (c) g(x) = -|3x - 1| +2 and (d) g(x) = -|4x-2| +1​

From the question, we have the following parameters that can be used in our computation:

f(x) = -|x - 2| + 1

The above function is an absolute value function

An absolute value function is represented as

f(x) = a|x - h| + k

Where

Slope = a

So, the slope of f(x) = -|x - 2| + 1 is

Slope = -1

Take the absolute value of this slope

Steep = 1

This means that the slopes of the functions in the options are

Slope (a) = -1/4

Slope (b) = -1/3

Slope (c) = -3

Slope (d) = -4

Take the absolute values of the above slope

Steep (a) = 1/4

Steep (b) = 1/3

Steep (c) = 3

Steep (d) = 4

A slope with a greater absolute value means a steeper line

3 and 4 are greater than 1

This means that the equations (c) and (d) are steeper than the given equation

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[tex]\sqrt[3]{63}[/tex]  , [tex]\sqrt[3]{60} , \sqrt[3]{-100}[/tex] three radical expressions are already simplyfird form .

Any expression with the radical () symbol is referred to as a radical expression. This symbol, which is frequently used to calculate the square root of a number, is frequently called the "square root" symbol by mistake. But it can also refer to a cube root, a fourth root, or something higher.

60 = 2 × 2 × 3 × 5. As a result, √60 = √2 + 2 + 3 + 5 = 2 + 15. Therefore, 2 15 is the square root of 60 in its lowest radical form.

3√600 =73.34

3√729 =9

A radical expression is any expression that uses the radical () symbol.

[tex]\sqrt[3]{63}[/tex]  , [tex]\sqrt[3]{60} , \sqrt[3]{-100}[/tex] three radical expressions are already simplyfird form .

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The system of equations is  0.05n+0.10d=1.90  and n=d+2

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

The calculation is as follows:

We know that

One nickel = $0.05,

So n nickels are worth 0.05n.

One dime = $0.10,

so dd dimes are worth 0.10d.

Now

The total 0.05n+0.10d =  $1.90

i.e.  

0.05n+0.10d=1.90

And,  

n=d+2

Therefore we can conclude that The system of equations is  0.05n+0.10d=1.90  and n=d+2

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Explanation:

You want to show cos(4t) +4cos(2t) = 8cos⁴(t).

Use the cosine double-angle identity:

  cos(2t) = cos²(t) -sin²(t) = cos²(t) -(1 -cos²(t)) = 2cos²(t) -1

Then

  cos(4t) = 2cos²(2t) -1 = 2(2cos²(t) -1)² -1 = 2(4cos⁴(t) -4cos²(t) +1) -1

  = 8cos⁴(t) -8cos²(t) +1

Substituting these expressions into the left side of the identity of interest, we have ...

  cos(4t) +4cos(2t) = 8cos⁴(t) -3 . . . . . . . . . . . . . . . . . . identity to prove

  (8cos⁴(t) -8cos²(t) +1) +4(2cos²(t) -1) = 8cos⁴(t) -3 . . . substitute

  8cos⁴(t) -8cos²(t) +1 +8cos²(t) -4 = 8cos⁴(t) -3 . . . . . eliminate parentheses

  8cos⁴(t) -3 = 8cos⁴(t) -3 . . . . . . combine like terms; Q.E.D.

Answer:

First blank: 90°  Second blank: 12

Step-by-step explanation:

The two shapes have a ratio of 4:1, and have the same angles.

This means that if m∠B = 90°, then m∠D = 90°.

Because the shape ratio is 4:1 (16:4 simplified) we can use this to find out 48:?    48/4 = 12

The correct statement is,

If the value of the linear correlation coefficient, r, is near −1, then the data viewed as a scatterplot is tightly bundled around some line, and predictions made with the line of best fit within the scope of data are reliable.

What is linear correlation?

When the proportional relationship between two given variables is the same or constant, linear correlation is said to exist. As an illustration, the expenditures increase by 5% each time the income increases by 20%. When the ratio of variations between two given variables changes, there is said to be a non-linear correlation.

Since,

r = - 1 means there is a negative relationship between the two variables

r=+1 means there is a positive relationship between the two variables

r= 0 means that there is no relationship between the two variables so  we can not predict the value of dependent variable using the independent variable.

Hence the statement, If the value of the linear correlation coefficient, r, is near −1, then the data viewed as a scatterplot is tightly bundled around some line, and predictions made with the line of best fit within the scope of data are reliable is correct.

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Complete question:

Which of the following statements regarding regression and correlation are true? (There may be more than one correct answer.)

a. If the value of the linear correlation coefficient, r, is near −1, then the data viewed as a scatterplot is tightly bundled around some line, and predictions made with the line of best fit within the scope of data are reliable.

b. When the linear correlation coefficient is positive, then the slope of a linear regression equation must be negative.

c. If the linear correlation coefficient is near –1, then the slope of the related least squares line will also be close to –1.

d. If the linear correlation coefficient is close to 0 in value, then the best prediction model to use for any value of the independent variable is the mean(average) of the dependent variable values.

So option b. x² + x is the correct option of the given statement Because option b satisfy the requirement of polynomial.

A polynomial is a mathematical equation made up of variables (sometimes called indeterminates) and coefficients, and can be expressed using just the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials can be located. Expressions with additional operations are considered non-polynomial expressions. Describe the reasons why the expressions are not polynomials.

A polynomial function is a function in an equation that exclusively employs positive integer exponents or non-negative integer powers of a variable. Examples of such equations include the cubic equation, the quadratic equation, and others. For example, 2x+5 is a polynomial with an exponent of 1.

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Answer:

15√3

Step-by-step explanation:

√ 15 ⋅ √ 45

Because both of them have the same base is the square root of two, we can combine them

√15 ⋅ 45

√675

Next, we factor √675 out and get

√15^2 ⋅ 3

= 15√3

So, the answer is  15√3

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The words that can be used to fill in the blanks are;

3) Work

4) fulcrum

5) simple machine

6) compound machine

7) All of these

8) pulley

9) wheel and axle

10) screw

11) wedge

12) inclined plane

We know that the term force has to do with a push or a pull force has to do with that which could cause an object to move some distance in the direction of the force that has been applied.

There are several kinds of simple machine. Let us recall that a machine has to do with any material that eases our work. It is the material that helps us to exert a lesser effort in order to move a heavier load.

The various kinds of simple machines that we have are;

The Lever is a simple machine that is composed of the load, the fulcrum and the effort.

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They can be arranged in 2 ways around a circular table.

Permutation in a circle is called circular permutation. The number of ways to arrange distinct objects along a fixed (i.e., cannot be picked up out of the plane and turned over) circle is. The number is instead of the usual factorial since all cyclic permutations of objects are equivalent because the circle can be rotated.

If we consider a round table and  persons then the number of different sitting arrangement that we can have around the round table is an example of circular permutation.

It is represented as; P = (n -1)!

P = (n -1)!

where n = 3

P = (3-1)!

P = 2!

P = 2 ways.

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The characteristic polynomial  x³ - 7x² + 16x - 12  The characteristic polynomial of a square matrix in linear algebra is a polynomial that is invariant under matrix similarity and has the eigenvalues as roots.

Its coefficients include the determinant and the trace of the matrix.

Characteristic polynomial of a 3×3 matrix A is given by ; x³ - trace(A)x² + (A​​​​​​11 + A​​​​​​22 + A​​​​​​33 )x - determinant(A)

Where A​​​​​​ii is the determinant of the matrix obtained by deleting i​​​​​​ th row and i th column.

Here trace(A) = sum of the diagonals = 12 - 7 + 2 = 7

A​​​​​​11 = -7 × 2 = -14

A​​​​​​22 = 2 × 12 = 24

A​​​​​​33 = ( 12×-7) - (-10×9) = 6

Determinant(A) = 12(-7×2 - 0) + 10(2×9 - 0) = 12

Substituting these values in above equation , we obtain;

x³ - 7x² + (-14 + 24 + 6)x - 12 = x³ - 7x² + 16x - 12.

Hence x³ - 7x² + 16x - 12 is the characteristic polynomial of A.

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s+f=24 and s=3f are system of equations to represent the situation and there are 18 spoons and 6 folks in the drawer.

Two or more expressions with an Equal sign is called as Equation.

Let s=number of spoon

Let f=number of forks

Since there are 3 times as many spoons as forks, s=3f

s+f=24

3f+f=24

4f=24

Divide both sides by 4

f=6

Now put f value in s=3f

s=3(6)

s=18

Hence, s+f=24 and s=3f are system of equations to represent the situation and there are 18 spoons and 6 folks in the drawer.

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Answer:

Step-by-step explanation:

You want the length of the minimum perimeter fence to enclose 3 sides of a rectangular area of 128 m² with one side of the enclosure provided by a river. You also want the enclosure dimensions.

If x represents the dimension of the enclosure parallel to the river, then the other dimension of the enclosure is found from ...

  A = LW

  128 = x·W

  W = 128/x

There will be two sides of this length, so the perimeter is ...

  P = L +2W = x +2(128/x)

  P = x + 256/x

This has an extreme value (minimum) where its derivative is zero:

  dP/dx = 0 = 1 -256/x²

Solving for x gives ...

  x² = 256

  x = √256 = 16

and the perimeter is ...

  P = 16 +256/16 = 32

The other dimension is 128/16 = 8.

The minimum perimeter is 32 meters; the enclosure is 16 by 8 meters.

__

Additional comment

This can be solved without using derivatives by working the reverse problem: the largest area for a given perimeter.

Using the same definition of x, the area in terms of perimeter is ...

  A = x · (P -x)/2

This is a quadratic equation with a maximum halfway between its zeros at x=0 and x=P. So, the value of x for maximum area is x = P/2. That area is ...

  A = (P/2)(P -P/2)/2 = (P/2)(P/4) = P²/8

Or, the minimum perimeter for a given area is ...

  P = √(8A)

In this problem, that is ...

  P = √(8·128) = √1024 = 32

The dimensions of the enclosure are (P/2)×(P/4) = 16×8.

a. The equation for the transformed function is y = -2(x + 4)^2 - 3.

b. The graph of the transformed function will be a parabola with a vertex located at (x,y)=(-4,-3). The parabola will open downwards, have a maximum at -3, and have a line of symmetry along the x-axis. The parabola will have an x-intercept at x=-4, and will stretch outwards to the right and left infinitely. The graph will look like a U-shaped curve that is shifted down 3 units and has a maximum at -3.

To begin, we can start with the equation of a standard parabola, y=x^2. To shift the parabola 4 units to the left, we can add a -4 to the x term in the equation, giving us y=x^2-4. To stretch the parabola vertically by a factor of 2, we can multiply the equation by -2, giving us y=-2(x^2-4). To reflect the parabola over the x-axis, we can multiply the equation by -1, giving us y=-2(x^2-4) -3. This gives us the equation y=-2(x+4)^2 - 3, which is the equation of the transformed function.

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Answer: m= 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

because slope is the amount of times your changing the line

Clarice did not verified the answer to verify the check should be 5×[tex]1\frac{1}{2}[/tex] = [tex]7\frac{1}{2}[/tex]

A division is a process of splitting a specific amount into equal parts.

Given,

[tex]7\frac{1}{2}[/tex]÷[tex]1\frac{1}{2}[/tex]

15/2÷3/2

When fraction is divided by fraction the denominator turns to reciprocal and multiplied with numerator

15/2×2/3=5

Clarice did not verified the answer

5×[tex]1\frac{1}{2}[/tex] should be equal to [tex]7\frac{1}{2}[/tex]

Hence, Clarice did not verified the answer to verify the check should be 5×[tex]1\frac{1}{2}[/tex] = [tex]7\frac{1}{2}[/tex]

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The original amount of the loan is $23,000.

What is the simple interest?

Simple interest is, by definition, the amount of interest paid on a specific principal sum of money when an interest rate is applied. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

The formula of simple interest is I = PRT.

I =  interest

P = Principal

R = rate of interest

T = time

Given that the rate of interest is 6.5%. Thus R = 6.5% = 0.065

The interest that she paid after 1 year is $149.50.

Thus I = $149.50 and T = 1

Putting R = 0.065, I = $149.50, and T = 1 in I = PRT

149.50 = P × 0.065 × 1

Divide both sides by 0.065

P = 23000

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The amount of Amy earn if she sold her shares today will be;

⇒ $8,038

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Amy purchased 100 shares of Monsanto Company for $66.10 per share.

Today the stock is selling for $80.45.

And, a charge of $7.00 to buy and sell.

Now,

Since, Today the stock is selling for $80.45.

And, A charge of $7.00 to buy and sell.

Hence, The amount for Amy earn if she sold her shares today is;

⇒ $80.45 × 100 - $7

⇒ $8,045 - 7

⇒ $8,038

Thus, The amount of Amy earn if she sold her shares today will be;

⇒ $8,038

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The value of the equation 4 is multiplied by the difference of 5 and a number is A = 20 - 4n

where n is the number

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as n

Let the equation be A

Now , the value of A is

4 is multiplied by the difference of 5 and a number is

Substituting the values in the equation , we get

A = 4 ( 5 - n )

where n is the number

On simplifying the equation , we get

The value of A = 4 ( 5 ) - 4 ( n )

The value of A = 20 - 4n

Therefore , the value of equation A is A = 20 - 4n

Hence , The value of the equation 4 is multiplied by the difference of 5 and a number is A = 20 - 4n , where n is the number

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Option B.

Don't be the only person without a great gift at the next baby shower.

What is the bandwagon technique?

It is a psychological phenomenon whereby the rate of uptake of beliefs, ideas, fads and trends increases with respect to the proportion of others who have already done so. As more people come to believe in something, others also "hop on the bandwagon" regardless of the underlying evidence.

Below are some examples of the Bandwagon Effect: Diets: When it seems like everyone is adopting a certain fad diet, people become more likely to try the diet themselves. Elections: People are more likely to vote for the candidate that they think is winning.

Hence ,  Don't be the only person without a great gift at the next baby shower is the correct answer .

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The way to organize 100 toothpicks in a way that fits with the structure of the base ten system as well as how your organization reflects the structure of the base ten system and  others is given below.

According to the base-10 system, each digit of a number can, depending on its position, have an integer value ranging from 0 to 9 (10 possibilities). Powers of 10 are used to determine the locations or positions of the numbers. The term "base-10" refers to a system of numbers where each place is 10 times the value to its right.

Since we have 10 fingers, we employ the base 10 system. Since base 10 only uses the numerals 0 through 9 for its ten digits, students start to realize that there are only 0-9 digits in each place value.

Therefore,  This becomes very vital while adding and subtracting since, depending on the operation, if we have a digit larger than 9, we must either regroup or ungroup to make it less than 10.

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People withe the appropriate clearance and a signed non-disclosure agreement may access classifies information within a company or organization.

People must have a favorable determination of eligibility at the proper level, have a "need-to-know", and have signed an appropriate non-disclosure agreement before accessing classified information. Any individual who falls to meet these requirements is not authorized to access classified information.

Classified information may be made available to a person only when the possessor of the information establishes that the person has a valid "need-to-know" and the access is essential to the accomplishment of official government duties.

Data classification is the process of organizing data into categories that make it easy to retrieve,sort and store for future use. A well-planned data classification system makes essential data easy to find and retrieve.

Given question is incomplete.

Who can access classified data?

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Using Euclid's Algorithm, the greatest common divisor or 8406 and 1242  is 18

The first number = 8406

The second number = 1242

We have to find the greatest common divisor of the given numbers 8406 and 1242 using the Euclid's Algorithm

8406 / 1242 = 6 R 954

8406 = 6 × 1242 + 954

1242 /  954 = 1 R 288

1242 = 1 × 954 + 288

954 / 288 = 3 R 90

954 = 3 × 288 + 90

288 / 90 = 3 R 18

288 = 3 × 19 + 18

90 / 18 = 5 R 0

90 = 5 × 18 + 0

The remainder became zero, so the greatest common divisor 18

Therefore, the greatest common divisor of 8406 and 1242 is 18

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