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Linear equations

Answer:

6738752.62

Step-by-step explanation:

1,455.8 x 4,628.9=6738752.62

Answer:

6738752.62

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The area of the parallelogram is equal to 101716 ft².

There are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example,  the opposite sides of a parallelogram are equal and parallel.

You can find the parallelogram area from two formulas:

The question gives: the length of both sides (170 ft and 650 ft) of the parallelogram and the angle between these sides (113°).

Thus, you can apply the formula: A= a*b* sin(Θ). Therefore:

A= 170 * 650* sin (113°)

A=101716 ft²

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Answer:

Step-by-step explanation:

JL = JK + KL

JL = 10x + x + 9

JL = 11x + 9.

The null hypothesis in this situation is "There are no differences in the mean completion times among the temperatures compared".

This is a hypothesis that states the independent variable or factor being studied has not effect on the dependent variable.

This implies the temperature has no effect on the completion times of the paper-folding test.

It is the effect of temperature because this is the factor being manipulated on purpose.

This refers to the factor being studied, in this case, these are the spatial reasoning abilities, which are tested through a specific test.

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Answer:

2512

Step-by-step explanation:

Formula=πr^2/2

(3.14×40×40)/2

=2512

Answer:

722.5792 cm²

Step-by-step explanation:

1 in ≈ 2.54 cm

Squaring both sides:

⇒ (1 in)² ≈ (2.54 cm)²

Apply exponent rule (ab)² = a²b²

⇒ (1)² in² ≈ (2.54)² cm²

⇒ 1 in² ≈ 6.4516 cm²

Therefore, to convert an area measured in inches squared to centimeters squared, multiply by 6.4516:

⇒ 112 in² ≈ (112 × 6.4516) cm²

               = 722.5792 cm²

Answer:

133

Step-by-step explanation:

an = a1 + f × (n-1)

an= 17+4 x (30-1)

an= 17+4 x 29

an= 17+116

an=133

The function of the production cost is a quadratic function, and the maximum production cost of the company is $340

The function of the production cost is given as:

f(x) = 0.15x² - 6x + 400

Differentiate the function

f'(x) = 0.3x - 6

Set the function to 0

0.3x - 6 = 0

Add 6 to both sides

0.3x = 6

Divide both sides by 0.3

x = 20

Substitute x = 20 in f(x) = 0.15x² - 6x + 400

f(20) = 0.15 * 20² - 6 *20 + 400

Evaluate

f(20) = 340

Hence, the maximum production cost of the company is $340

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Answer:

{-9, -3, 0, 5, 7}

Step-by-step explanation:

Well, you already have the relation of the function. The domain of a function are its x coordinates and the range are all the y coordinates:

0, -3, -9, 5, 7

We write them in ascending order:

-9, -3, 0, 5, 7

And this way we get the range

It is important to check if the coordinates you are given can form a function. In this case they do, but in other cases they might not.

If you have coordinates where for example there are two equal values of x but the y is different in both, for example (1, 2) and (1, 5), this cannot be a function because y can be on two possible destinations for the same value of x.

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

1) Given that to make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury, to determine how many hours does it take Mercury to complete a full rotation, the following calculation must be performed:

2) Given that a plant grows up to 0.89 ft per day, to determine how fast in inches per hour can this weed grow, the following calculation must be performed:

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Answer:

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

Step-by-step explanation:

Answer:

Image result for Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Step-by-step explanation:

Answer: F = 661.56

Step-by-step explanation: interest formula: F = Pe^(rt)

F = future value

P = present value = 500

r = interest rate = 0.04

t = years = 7

F = 500e^(0.04 * 7)

Answer:

[tex]\displaystyle 1\frac{1}{10}n[/tex]

Explanation:

Convert [tex]\displaystyle 110\%[/tex]to a mixed number, then set [tex]\displaystyle n[/tex]up next to it.

I am joyous to assist you at any time.

Answer:

okay so the area is 1386inches2

Step-by-step explanation:

[tex]area \: of \: a \: circle = \pi {r}^{2} \\ = \frac{22}{7} \times {21}^{2} \\ = \frac{22}{7} \times 441 \\ = 1386 {inches}^{2} [/tex]

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step: 1: Convert mixed fraction to improepr fraction.

Step: 2 : Find the LCM of 4 , 5 = 20

Step 3: Find equivalent fractions with denominator as 20

Step 4: Now subtract.

[tex]3\dfrac{1}{4}-1\dfrac{3}{5}=\dfrac{13}{4}-\dfrac{8}{5}[/tex]

             [tex]\sf = \dfrac{13*5}{4*5}-\dfrac{8*4}{5*4}\\\\\\ = \dfrac{65}{20}-\dfrac{32}{20}\\\\\\ = \dfrac{65-32}{20}\\\\\\ = \dfrac{33}{20}\\\\ \\ = 1 \dfrac{13}{20}[/tex]

Answer: 234 degrees

Step-by-step explanation:

Angle formed by a chord and a tangent has half the measure as the arc formed by the chord

The value of measure of arc DEF is,

⇒ 234 degree

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Line t is tangent to the circle.

Hence, We know that;

The angle formed by a chord and a tangent is equal to 1/2 the measure of the intercepted arc.

Thus, The value of measure of arc DEF is,

⇒ 2 x 117 degree

⇒ 234 degree

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Answer: 0.924

Step-by-step explanation:

Given

[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]

Simplify  [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]

[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]

Cancel y

[tex]0.5775x* \frac{8}{5x}[/tex]

Cancel x

[tex]0.5775* \frac{8}{5}[/tex]

Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]

[tex]\frac{0.5775*8}{5}[/tex]

Simplify

[tex]\frac{4.62}{5}[/tex]

Simplify

0.924

#a

Perimeter=Sum of sides

#b

Area:-

Answer:

Perimeter = 1436.3 m (nearest tenth)

Area = 94641.0 m² (nearest tenth)

Step-by-step explanation:

The perimeter is the sum of the lengths of all the sides.

[tex]\begin{aligned}\sf \implies perimeter & =400+200\sqrt{6}+200\sqrt{3}+200\\ & =1436.30811\\ & = 1436.3 \: \sf m\:(nearest\:tenth)\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Area of a triangle} & =\sf \dfrac12 \times base \ height\\ & = \sf \dfrac12 \times (200+200\sqrt{3}) \times 200\sqrt{3}\\ & =94641.01615\\ & = 94641.0\: \sf m^2\:(nearest\:tenth)\end{aligned}[/tex]

Answer: y = [tex]\frac{1}{5}[/tex]x + 8

Step-by-step explanation:

       This is asking us to remove the parameter. In other words, we want an equation with only the relation between x and y, so we need to remove the t. There are a few ways to do this, but I am going to set one equation equal to t and then plug it into the next one.

     Given:

x = 5t

    Divide both sides of the equation by 5:

t = [tex]\frac{1}{5}[/tex]x

     -

    Given:

y = t + 8

    Plug in:

y = ([tex]\frac{1}{5}[/tex]x) + 8

    Answer:

y = [tex]\frac{1}{5}[/tex]x + 8

Answer:

Answer is D

Step-by-step explanation:

Day 1 = 60

Day 2 = 120

Day 3 = 180

Day 4 = 240

Day 5 = 300

Day 6 = 360

Day 7 = 420

Day 8 = 480

The graph D will show the best relationship between  the number of days and the number of frozen treats sold.

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

It is given that he sells 60 frozen treats per day so everyday the frozen treats are multiplied by 60.

We can see the linear relationship between frozen treats and number of days.

Day 1 -  60

Day 2 - 120

Day 3-  180

Day 4-   240

Day 5-  300

Day 6-  360

Day 7-  420

Day 8-  480

Hence the graph D will show the best relationship between  the number of days and the number of frozen treats sold.

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Answer:B=24 in²

B'=12 in²

B^=6 in²

I think the answer is B

Step-by-step explanation: I put the explaination with the answer

Answer:

C

Step-by-step explanation:

24 × 1/2 = 12

can we be friends?

Answer:

6ft, the missing side is the base(b), 10ft is the hypotenuse(h) and 8ft is the perpendicular(p). The formula for base is root over h²-p² and root over 10²-8² equals 6.

Answer:

4/10 is the answer

The cube root function is negative on the interval (-∞, 5), so the correct option is b.

Here we have the cube root function:

g(x) = ∛(x - 5)

This is a cube root, and it is negative when the argument is negative. So the function will be negative for the values of x such that:

x - 5 < 0

x < 5

So, we can say that on the interval: (-∞, 5) the function g(x) is negative. Then the correct option is b.

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Answer:

AB=21

Step-by-step explanation:

14 is to (14 +12)   as   AB  is to (AB + 18)

14 / 26 = AB / (AB+18)      <===== cross multiply

14 (AB + 18) = 26 AB

AB = 21

Answer:

6

Step-by-step explanation:

AX=1/2XY,. BX=1/2WX

=) AB||WY and AB=1/2WY. [Midpoint theorem]

=) 2AB=WY

=) 2×3=WY

=)6=WY

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This works for triangles with a Midline having two of these properties:

The third side of the triangle (the one parallel to its midline) is twice the length of its midline.

The given question above:

ΔWYX

(Midline) AB = 3

YW = ?

Solution:

[tex]\frac{1}{2}[/tex] YW = AB

[tex]\frac{1}{2}[/tex] YW = 3

YW = (2)3

YW = 6

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The area of the trapezoid, to the nearest whole number is: D. 8 units²

Area of trapezoid = 1/2(a + b)h, where:

Using the coordinates of the trapezoid, (0,0), (1,3), (4,3), (2,0), the points have been plotted on a coordinate plane as shown in the image attached below, and we have the following dimensions of the trapezoid:

Area of the trapezoid = 1/2(a + b)h = 1/2(3 + 2)3

Area of the trapezoid = 7.5 ≈ 8 units²

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Answer:

he is on high depression

he is so success ful guy

he makes an advertisement of some thing

he advertises watch

he see going to be a future doing on his life