What is the total amount, including interest, that the shoe store must pay on the loan? (2 points)

Step-by-step explanation:

Starting from the upper left in the clockwise direction:

congruent: no

similar: no

upper right side:

congruent: yes

similar: yes

lower right side:

congruent: no

similar: yes

lower left side:

congruent: yes

similar: yes

Answer:

\(3x^2y\)

Step-by-step explanation:

The cube root of 27 is 3.

With indices, cube rooting them is the equivalent of multiplying by 1/3 so:

\(x^2y\).

Put these 2 things together and you get:

\(3x^2y\)

Answer:

\(115 \dfrac{1}{2}\:cm^3\)

Step-by-step explanation:

The volume of a rectangular prism is the product of each of the sides of the prism

Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)

the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)

To perform this multiplication, convert mixed fractions to improper fractions first

Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)

\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)

\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)

Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)

\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)

Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)

Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder

\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)

\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)

Answer:

46=18+d

Step-by-step explanation:

Because 46 is total, it indicates that the equation equals 46, which can be written as =46

Total also indicates the addition

That means 18 PLUS a number (d) gives you 46

So 18+d=46

Answer:

Step-by-step explanation: I only know for number 12 sorry but here railroad tracks, the edges of sidewalks, marking on the streets, zebra crossing on the roads, the surface of pineapple and strawberry fruit, staircase and railings, etc.

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

Answer:

Calculating p-value from excel  

p-value = 0.144458 (From excel  =T.DIST.RT(1.091,19))  

p-value = 0.144458 > 0.05  

So, we failed to reject the null hypothesis. There is sufficient evidence to conclude that they pay not more than the national average of $4172.

Step-by-step explanation:

Here the given de4tails are,

Hypothesized mean = 4172

Sample Standard deviation = 1590

Sample mean = 4560

Sample size n = 20

Formulation of hypothesis

Answer:

y-0=8

Step-by-step explanation:

um

The other root is 1 and the value of the coefficient q is 12.

A quadratic equation is a second-order polynomial equation in a single variable x. ax²+bx+c=0. with a ≠ 0 .

Given:

x²-13x+q=0

when x= 12

So, 12²-13*12+q=0

144-156+q=0

-12+q=0

q=12

Now, x²-13x+12=0

x²-12x-x+12=0

x(x-12) - 1(x-12)=0

(x-1)(x-12)=0

x=1, 12

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At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.

To find the total revenue at each price, we can multiply the price by the corresponding quantity.

Price        Quantity          Total Revenue

$6                0                      $0

$5                 1                       $5

$4                 2                       $8

$3                 3                        $9

$2                 4                         $8

$1                  5                          $5

To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.

In this case, the highest total revenue is $9, which occurs when the price is $3.

At a price of $3, the company will sell 3 units (as indicated in the Quantity column).

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On solving the provided question, we can say that - As a result, Orthocenter triangle is the answer to the given triangle issue (0, - 5 ).

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

determine LN's slope.

\(m = (y2 - y1)/ (x2- x1) = 1-5/8-0 = 2\)

formula for altitude

\(y - 1 = 2(x - 3) (x - 3)\\y - 1 = 2x - 6\\\)

y = 2x - 5

Altitude of N and LM

\(m = (y2 - y1)/ (x2- x1) = 1-5/3-0 ⇒ -3/4\\y - 1 = (x - 8) (x - 8)\\y - 1 = x - 6\\\)

y = x - 5

\(8x - 20 = 3x - 20\\5x - 20 = - 20 \\5x = 0 = > x = 0\\\)

y =0 - 5 = - 5

It is the orthocenter (0, - 5 )

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Answer:

284 boxes

Step-by-step explanation:

Answer:

800 grams flour ÷ 5 grams flour/biscuit = 160 biscuits

160 biscuits × 3 grams butter/biscuit = 480 grams butter

160 biscuits × 2 grams sugar/biscuit = 320 grams sugar

Katie needs 320 grams sugar.

Kate needs 270g of sugar to make the maximum number of biscuits possible.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Now, Based on the ratio of flour, butter, and sugar of 5:3:2, we can determine that Kate needs;

⇒ 800g + 550g

= 1350g of the mixture.

Hence, For find out the amount of sugar needed, we need to determine the proportion of sugar in the mixture.

We can do this by adding up the ratio numbers;

(5+3+2) = 10.

Then we can divide each ratio number by the total (10) to get the proportion of each ingredient.

So the proportion of sugar in the mixture is 2/10. To find out how much sugar Kate needs, we can set up a proportion:

2/10 = x/1350

We can solve for x by cross-multiplying:

2 × 1350 = 10x

2700 = 10x
x = 270

Therefore, Kate needs 270g of sugar to make the maximum number of biscuits possible.

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Step-by-step explanation:

a- true

b- true

c- false, it can be written 4b

d- true

e- false, 5a

Answer:

A.true B.true C.False D.true E.False

Answer:

c: plane ptm

Step-by-step explanation:

Answer:

right angle

acute

acute

obtuse

obtuse

Step-by-step explanation:

Since angle <ABC is a straight line, the angle is 180 degrees. This means all the angles in between should also add up to 180 degrees. Using this knowledge you can solve for the value of angle <FBE which is going to be equal to 180 - (40 + 25 + 50) = 65.

< DBF = <DBE + <EBF

< DBF = 25 + 65 = 90 (right angle)

<EBD = 25 (given) (acute)

<DBC = 50 (given) (acute)

<ABE = <ABF + <FBE

<ABE = 40 + 65

<ABE = 105 (obtuse)

<CBF = <CBD + <DBE + <EBF

<CBF = 50 + 25 + 65

<CBF = 140 (obtuse)

Answer:

I thick the answer is 2277

Answer:

Domain=[67,78]

Step-by-step explanation:

To find domain:

  ⇒ must define what is a domain

       ⇒ Domain is the set of input values or the values of the x-axis of

           graph that is covered by the function

Based on the definition:

    ⇒ 67 ≤ x ≤ 78 is the domain of the function

Answer: 67 ≤ x ≤ 78 where x is a whole number

Hope that helps!

Answer:

√3/3

Step-by-step explanation:

To obtain Tan θ ;

From trigonometry, tan θ = sin θ / cosθ

Given the paired value : (√3/2, 1/2)

The (cosine, sine ) pair ;

Tan θ = sin (1/2) / cos (√3/2)

Tan θ = (1/2 ÷ √3 / 2) = 1 / 2 * 2 / √3 = 2 / 2√3 = 1 / √3

Tan θ = 1 / √3

Rationlaizing the denominator :

1/√3 * √3/ √3 = √3/√9 = √3/3

The given area of the \(52\frac{1}{2}\) ft. by 33 ft. wall less the areas of the Windows and the Door give the area of the painted part of the wall as  \(\underline{1642\frac{9}{16}}\) ft.²

The area of the painted part of the wall is \(\underline{1642\frac{9}{16}}\) ft.²

The given dimensions of the wall are;

The width of the wall = \(52\frac{1}{2}\) ft.

The height of the wall = 33 ft.

The painted area = Area of the wall - (Area of the widows + The door)

Which gives;

\(52\frac{1}{2} \times 33 - \left(6\frac{1}{4} \times 5\frac{3}{4} + 3\frac{1}{8} \times 4 + 9\frac{1}{2} + 4 \times 8 \right) = \mathbf{ 1642 \frac{9}{16}}\)

The area of the painted part of the wall is \(\underline{1642\frac{9}{16}}\) ft.²

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Answer:

2704.66667 would be your answer

Answer:

The smaller number is 4√2 and the larger number is (4√2 + 1).

Step-by-step explanation:

Let the two numbers be x and y, where y is the larger of the two numbers.

Since y is the larger number, it is one more than the smaller number. So:

\(y=x+1\)

When negative two times the smaller is added to the square of the larger, the result is 33. In other words:

\(-2x+y^2=33\)

Substitute:

\(-2x+(x+1)^2=33\)

Solve for x. Square:

\(-2x+(x^2+2x+1)=33\)

Simplify:

\(x^2+1=33\)

Subtract one from both sides:

\(x^2=32\)

And take the square root of both sides:

\(x=\pm\sqrt{32}=\pm 4\sqrt{2}\)

Since y is positive, we can ignore the negative case. So, the smaller number is:

\(x=4\sqrt{2}\approx5.66\)

And the larger number is:

\(y = 4\sqrt{2} + 1 \approx6.66\)

Answer:

division

Step-by-step explanation:

The Reverse Of Multiplication is Division

A straight line is 180 degrees in measure

The straight line is made up of three angles

           --> angle 1

           --> angle 2

           --> angle with a little square on it

                     (angle with a little square means it is 90 degrees in measure)

Let's set up an equation

    \(angle1 + angle2 + 90 = 180\\angle1 + 87 + 90 = 180\\angle1 = 3\)

Thus angle 1 is 3 degrees or the second choice

Hope that helps!

Answer:

40cm² there you go

Step-by-step explanation:

Area =side×side so 8×5=40

Step-by-step explanation:

In my opinion, none. ........

64X + 5=8x

8x+5=8x solution when simplified