Mrs. Zimmerman’s students build the first letter of their names out of wood. Holly builds an H using rectangles with the dimensions shown.

How many square inches of wood does Holly use to create the letter H?

Answer Choices: A, 44 in.² B, 60 in.² C, 80 in.² D, 120 in.²

The Triangle will look in this way (Attached image)-

Step 1: Draw a line segment OQ.

Step 2: Place the center tip of the protractor at point O such that the protractor perfectly aligns with line AQ.

Step 3: Start from 'Q' on the protractor in the anti - clockwise direction and stop at 30. Mark it as point 'P'. If point 'Q' lies to the right of 'O', then start measuring clockwise and stop at 30.

Step 4: Now, place the protector at point Q, mark the point 'P' at 90, such that ∠OQP = 90.

Step 5: Join point 'P' with 'O'. ∠QOP=30° is the required 30 degree angle.

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Answer: The quotient of (30 x 10^-24)/(5 x 10^-24) is 6, which means that in scientific notation, it’s written as 6 x 10^0.

Answer:

37 degrees

Step-by-step explanation:

First, solve for the angle beside 152 degrees. Subtract 180 to 152 and you get 28 degrees. Next, we add 28 degrees to 115 degrees, which is 143 degrees. After, we subtract 143 from 180 (since the total angle of a triangle is 180) and we arrive at 37 degrees.

Answer:

1) y\(\leq \)3/5x-5

2) y>2x+5

3) x<-5

4) y≥2/5x-2

5) y≤x-2

6) y>7/4x+2

7) y≤x

8) y≥-3x+4

9) y>-4

10) y>-x-4

11) y≥8/3x-4

12) y>3/2x-5

Step-by-step explanation:

So, you first need to identify the y-intercept, which is the constant in the inequality. Then, you would need to identify the slope of the line through rise over run. Finally, examine the shaded region to determine the inequality of the equation.

528 burgers and 322 orders of fries were sold on Saturday.

At Shake Shack in Center City, the delivery truck was unable to drop off the usual order. The restaurant was stuck selling ONLY burgers and fries all Saturday long. 850 items were sold on Saturday. Each burger was $5.79 and each order of fries was $2.99 for a grand total of $4,019.90 revenue on Saturday. How many burgers and how many orders of fries were sold?

:The number of burgers and orders of fries sold can be calculated using the following algebraic equation:

5.79B + 2.99F = 4019.90

where B is the number of burgers sold and F is the number of orders of fries sold. To solve for B and F, we need to use the fact that a total of 850 items were sold on Saturday.B + F = 850F = 850 - BSubstitute 850 - B for F in the first equation:

5.79B + 2.99(850 - B) = 4019.905.79B + 2541.50 - 2.99B

= 4019.902.80B = 1478.40B

= 528.71 burgers were sold on Saturday.

To find out how many orders of fries were sold, substitute this value for B in the equation

F = 850 - B:F = 850 - 528F

= 322

Therefore, 528 burgers and 322 orders of fries were sold on Saturday.

:Thus, it can be concluded that 528 burgers and 322 orders of fries were sold on Saturday.

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Answer:

a

Step-by-step explanation:

complementary angles sum to 90° , so

3x + 4 + 6x - 4 = 90

9x = 90 ( divide both sides by 9 )

x = 10

Answer:

t<2

Step-by-step explanation:

Answer:

t<2

Step-by-step explanation:

The arithmetic sequence is given by the expression A = 5 + 4n

Given data ,

Let the number sequence be represented as A

Now , the value of A is

A = 5 + 9 + 13 + 17 + 21 ...

On simplifying , we get

The first term of the series is a₁ = 5

Let the second term be a₂ = 9

So , the common difference d = a₂ - a₁

d = 9 - 5 = 4

And , let the number of terms be n

So , the expression is

A = 5 + 4n

when n = 4

A = 5 + 4 ( 4 ) = 25

Hence , the arithmetic sequence is A = 5 + 4n

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Answer:

x+y ≤20

3.50 x +8 y ≤150

Step-by-step explanation:

Hi, the rest of the question is:

How do you write a system of linear inequalities to model the situation?

So, for the first inequality:

The sum of the number of soil bags (x) and plants(y) bought must be less or equal to 20.

x+y ≤20

For the second inequality:

The product of the number of soil bags (x) and the price of each bag (3.50) ; plus the number of plants bought(y) and the price of each plant (8) must be less or equal to 150.

3.50 x +8 y ≤150

In conclusion, the system is:

x+y ≤20

3.50 x +8 y ≤150

Interest = A - (50 * 456)

To determine how much you will have in the IRA when you retire at age 65, we can use the formula A = P[(1 + r)^t - 1] / r, where A is the future value, P is the monthly deposit, r is the monthly interest rate, and t is the number of months.

a. In this case, the monthly deposit is 50, the monthly interest rate is 5% or 0.05, and the number of months is (65 - 27) * 12 = 456 (from age 27 to 65).

Using the formula, we can calculate:
A = 50[(1 + 0.05)^456 - 1] / 0.05

b. To find the interest, we can subtract the total deposits from the future value:
Interest = A - (P * t)

In this case:
Interest = A - (50 * 456)

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Answer:

Not all the means are equal.

Step-by-step explanation:

In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.

So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.

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If the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

ANOVA table gives us the total sum of squares ( TSS ), the residual sum of squares ( RSS ) and the estimated sum of squares ( ESS ).

It establishes the relation that:

ESS + RSS = TSS.

If we reject the omnibus null hypothesis, then it means that:

at least one of the population means is different from at least one other population mean.

Therefore, we get that, if the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

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Answer:

the answer is 10

Step-by-step explanation:

the answer is 10 because -4 multiplied by -5 is 20 and 20-10=10

Answer:

10.5 bottles of orange juice

Step-by-step explanation:

Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?

Number of bottles of orange juice = x

Number of bottles of soda water = y

The recipe calls for 3.5 times as many bottles of soda water as orange juice.

Hence,

x = 3.5y

If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle

We have:

3.70y + 0.90× 3.5= 20.55

3.70y + 3.15y = 20.55

6.85 = 20.55

y = 20.55/6.85

y = 3 bottles

Since, Number of bottles of soda water = y, Number of bottles of soda water = 3

Note that: x = 3.5y

x = 3.5 × 3

x = 10.5 bottles

Number of bottles of orange juice = x, Hence, number of bottles of orange juice = 10.5 bottles

On solving the provided query we have Therefore, the coordinates of the  equation vertices of the image triangle U'V'W' are U'(1, 1), V'(4, 0), and W'(1, -4).

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

To rotate a point 90° clockwise, we can use the following matrix transformation:

|cos(θ) sin(θ)| |x| |x'|

|-sin(θ) cos(θ)| * |y| = |y'|

where θ is the angle of rotation, x and y are the original coordinates of the point, and x' and y' are the coordinates of the point after rotation.

To rotate the triangle 90° clockwise about the origin, we can apply this transformation to each vertex of the triangle. The angle of rotation is 90°, so we have:

|cos(90) sin(90)| |-1| |1|

|-sin(90) cos(90)| * |1| = |-1|

Applying this transformation to the other two vertices of the triangle, we get:

|cos(90) sin(90)| |0| |4|

|-sin(90) cos(90)| * |-4| = |0|

and

|cos(90) sin(90)| |-4| |1|

|-sin(90) cos(90)| * |-1| = |4|

Therefore, the coordinates of the vertices of the image triangle U'V'W' are U'(1, 1), V'(4, 0), and W'(1, -4).

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Answer-

Option C is correct.

U′(1, 1), V′(−4, 0), W′(−1, 4)

Explanation-

90 clockwise formula:

(x, y) => (y, -x)

So,

U(−1, 1) => U'(1, 1)

V(0, −4) => V'(-4, 0)

W(−4, −1) => W'(-1, 4)

Notice that when the number is already a negative and the formula says to transform it in a negative, it is going to become a positive. Also remember that the number 0 is never going to be positive or negative in those situations.

I not really good at explanations, but I hope I helped my fellow FLVS students! ;)

Answer:

Real root is x = 1.

Complex roots are x = ±√7 i

Step-by-step explanation:

If x = 1 , P(x) = 0 so that is one zero of the function.

Dividing by x - 1 gives the quotient x^2 + 7.

x^2 + 7 = 0

x^2 = -7

x = ±√7 i

Answer:

x-3

Step-by-step explanation:

f(x) = 3x – 2

g(x) = 2x + 1

(f – g)(x) = 3x-2 - ( 2x+1)

    Distribute the minus sign

              = 3x-2 -2x -1

              = x -3

Answer:

-5 > -18

Step-by-step explanation:

The lower the negative number the higher it's value

Answer: TRUE

SUIIIIIIIII

The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

A subspace is a vector space that is also encompassed within another vector space.

So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.

Three components must be demonstrated to prove that a subset is a subspace:

Additionally, demonstrate that it is closed.

Show that it is closed when scalar multiplication is used.

Show that vector 0 is a part of the subset.

As it is stated in the question;

h represents a subset of the vector space v.

The zero vector is contained in h.

This implies that h must be in the v subspace.

Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

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Answer: none

Step-by-step explanation:

By completing the square, the equation in standard form is (x - 2)² + (y + 4)² = 4².

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

From the information provided below, we have the following equation of a circle:

x² - 4x + y² + 8y = -4

x² - 4x + (-4/2)² + y² + 8y + (8/2)² = -4 + (-4/2)² + (8/2)²

x² - 4x + 4 + y² + 8y + 16 = -4 + 4 + 16

(x - 2)² + (y + 4)² = 16

(x - 2)² + (y + 4)² = 4²

Therefore, the center (h, k) is (2, -4) and the radius is equal to 4 units.

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Complete Question:

Complete the square to rewrite the following equation in standard form. x² - 4x + y² + 8y = -4.

Answer:

Step-by-step explanation:

The following statements are true:

1.  A quadratic function can have up to two x-intercepts.

2.  An x-intercept of a quadratic function is also called a zero of the function

Answer:

it would be 6

Step-by-step explanation:

because the 6's as well as the 3x's because youd need to move the xs to one side and the others to a different side and it would be 0=0 but because im assuming you arent dealing in real numbers it would be no solution

Answer:

IT WILL BE A,C,D,E

Step-by-step explanation:

i got it correct on edge

The result of the each of the following set is

A ∪ B = {1, 3, 5, 6, 7, 9}

A ∩ B = {3, 9}

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A ∩ C = {∅}

A - B = {1, 5, 7}

B - A = {6}

B U C = {2, 3, 5, 6, 8, 9 }

B ∩ C = {6}

The given values are

A = {1, 3, 5, 7, 9}

B = {3, 6, 9}

C = {2, 4, 6, 8}

Then find the each given terms in set roaster notation

Union of the set, intersection of the set  and the difference of the set are the basic operations of set

A ∪ B = {1, 3, 5, 6, 7, 9}

A ∩ B = {3, 9}

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A ∩ C = {∅}

A - B = {1, 5, 7}

B - A = {6}

B U C = {2, 3, 5, 6, 8, 9 }

B ∩ C = {6}

Therefore, all the given terms has been found

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It depreciates at 15%, which means it would be valued at 85% of the previous value.

After one year the value would be 9000 x 0.85 = £ 7650

Answer: 5

Step-by-step explanation: f(3) = 2x - 1

substitute the x with 3. 2(3)-1

6-1

5

Answer:

The answer is 5, hope you like!

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

Answer:

She sprinkles 3/10 of a cup of powdered sugar on the brownies.

Step-by-step explanation: