7/4 - 5/4 =
O 1
o 2/4
0 2/8
0 2/0

Answer:

Set your calculator to Degree mode.

55^2 = 90^2 + 50^2 - 2(90)(50)cos(C)

3,025 = 10,600 - 9,000cos(C)

-7,575 = -9,000cos(C)

cos(C) = 101/120

C = cos^-1 (101/120) = 32.7°

Answer:

4c^2+7c-5=0

4c^2+7c=5

4c^2+7c=5

4c^2+7c-5=0\quad :\quad c=\frac{-7+\sqrt{129}}{8},\:c=\frac{-7-\sqrt{129}}{8}\quad \left(\mathrm{Decimal}:\quad c=0.54472\dots ,\:c=-2.29472\dots \right)

Hope This Helps!!!

Answer:

C) c = -7 ± √129 / 8

Step-by-step explanation:

x = (-b ± √ (b² – 4ac) ) / 2a

[quadratic formula]

where ax² + bx + c = 0.

[quadratic / square trinomial]

given 4c² + 7c – 5 = 0,

↓ ↓ ↓

a b c

where c = x,

c = (-b ± √ (b² – 4ac) ) / 2a.

c = (-(7) ± √ ((7)² – (4)(4)(-5)) ) / 2(4)

c = (-7 ± √ (49 – (-80)) ) / 8

c = (-7 ± √ (129) ) / 8

c = -7 ± √129 / 8

Answer:

3/2x

Step-by-step explanation:

Answer: D  15 < n < 25

1. The value of 34% of 850 is 289.

3. The amount that Kepley paid for the tool is $120.

From the information, we want to calculate 34% of 850. This will be calculated thus:

= 34% ×850

= 34/100 × 850

= 0.34 × 850

= 289

The amount paid for the tool will be:

= Price or tool - Discount

= $200 - (40% × $200)

= $200 - $80

= $120

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The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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Table A represents a function, but Table B does not represent a function.

Table must meet the following requirements in order to qualify as a function (see the.jpeg picture attached with this response):

The tables below show the values of y corresponding to different values of x: Table A x 3 2 1 y 1 0 0 Table B x 3 5 4 y − 2 1 1

1. Requirement: Each element in the first circle must be linked to at least one element in the second circle.

2. Requirement: There CANNOT be more than one relationship between items in the first circle and those in the second circle.

Table A is in fact a function because it meets BOTH of these requirements.

Table B is not a function since it meets the FIRST criteria but not the SECOND condition.

so

Table A represents a function, but Table B does not represent a function.

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We could just solve this using proportions,

Thus, we have

The flagpole is 16ft long.

The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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Answer:

B

Step-by-step explanation:

cause on T4L you have to round it to the nearest whole and I put B and it was correct.

For [0,20]

Average rate of change

for [40,60]

Difference

Answer:

15

Step-by-step explanation:

Average rate of change over interval [40, 60] :

Average rate of change over interval [0, 20] :

Change in interval :

Mary Lou Mason's total taxes on her purchase would be $1.37.

Taxes are mandatory payments to the government that are used to fund public services such as infrastructure, education, and health care. Taxes can be direct, such as income taxes, or indirect, such as sales taxes.

Mary Lou Mason's total purchase was $19.14.

To calculate the total taxes for her purchase, we can use the following formula:

Tax = (State Sales Tax %) x (Total Purchase) + (County Tax %) x (Total Purchase)

Therefore, the total taxes for Mary Lou Mason's purchase would be:

Tax = (6.5%) x ($19.14) + (1.5%) x ($19.14)

Tax = (0.065 x 19.14) + (0.015 x 19.14)

Tax = 1.24 + 0.13

Tax = $1.37

Mary Lou Mason's total taxes on her purchase would be $1.37.

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Answer:

x = 31.3

Step-by-step explanation:

100° and (3x + 6)° are vertical angles. Vertical angles are congruent.

To find the value of x, set both equal to each other.

3x + 6 = 100

3x = 100 - 6 (subtraction property of equality)

3x = 94

x = 94/3 (division property of equality)

x = 31.3 (nearest tenth)

Answer:

n = 2

Step-by-step explanation:

Given

The equation,

To find the points in the graph of the given equation.

Explanation:

It is given that,

That implies, the graph of the above equation is,

Then, the graph of the equation is,

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

Given that:

Endpoints of diameter, (13, -1) and (15, 9)

The equation of the circle when endpoints of diameter are given is written as,

(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0

The equation of the circle is calculated as,

(x - 13)(x - 15) + (y + 1)(y - 9) = 0

x² - 28x + 195 + y² - 8y - 9 = 0

x² + y² - 28x - 8y + 186 = 0

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

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Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

Answer:

I think the answer is 1.

If it is wrong sorry

The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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Answer:

D

Step-by-step explanation:

Because a statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

Answer:

B(6, 5), C(1, -7)

Step-by-step explanation:

A(2, 5)

From A to B, there is translation x, (4, 0).

Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.

B(2 + 4, 5 + 0) = B(6, 5)

From C to B there is the translation y, (5, 12).

Since we are going from B to C, we undo translation y.

The translation from B to C is (-5, -12).

C(6 - 5, 5 - 12) = C(1, -7)

Answer:

similar by angle angle similarity property.

Step-by-step explanation:

they have the right angles, and then the two vertical angles.

:))

Answer:

B and C have exactly 3 terms

Step-by-step explanation:

Terms in math are separated by numerical signs such as addition or subtraction, etc. B and C both are separated into 3 parts, therefore, they both have exactly 3 terms.

Hope this helps! :)

the answer is

\(y = 2.941463\)

which is closest to 3.

We want to find the perimeter of the given figure. We will find that the perimeter of the figure is 35.7 units.

Remember that for a circle of diameter D, the perimeter or circumference is:

p = pi*D

where pi = 3.14

So we have a half-circle and an equilateral triangle, and we know that the equilateral triangle sides measure 10 units each.

Notice that the diameter of the half-circle is equal to the side length of the triangle, then the diameter is D = 10

Then the length of the arc of the half-circle is just given as half the circumference of a circle with a diameter of 10 units, this is:

C = (1/2)*3.14*10 = 15.7

And to this we must add the two sides of the triangle that belong to the perimeter, remember that each one measures 10 units, then the total perimeter is:

Perimeter = 15.7 + 10 + 10 = 35.7

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Therefore, the answers for the given composite functions are:

f(g(7)) = 814

g(f(4)) = 151

f(g(8)) = 898

f(f(2)) = -4

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. Originally, functions were the idealization of how a variable quantity depended on another quantity.

Here,

To evaluate function compositions, we substitute the inner function into the outer function and simplify.

(a) To evaluate f(g(7)), we first find g(7):

g(7) = 7(7)^2 + 9(7) + 3 = 343 + 63 + 3 = 409

Now we can substitute g(7) into f(x):

f(g(7)) = f(409) = 2(409) - 4 = 814

(b) To evaluate g(f(4)), we first find f(4):

f(4) = 2(4) - 4 = 4

Now we can substitute f(4) into g(x):

g(f(4)) = g(4) = 7(4)^2 + 9(4) + 3 = 112 + 36 + 3 = 151

(c) To evaluate f(g(8)), we first find g(8):

g(8) = 7(8)^2 + 9(8) + 3 = 7(64) + 72 + 3 = 451

Now we can substitute g(8) into f(x):

f(g(8)) = f(451) = 2(451) - 4 = 898

(d) To evaluate f(f(2)), we first find f(2):

f(2) = 2(2) - 4 = 0

Now we can substitute f(2) into f(x):

f(f(2)) = f(0) = 2(0) - 4 = -4

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The system of inequalities that can be used to find the possible original prices of a laptop, x, and of a printer, y is: x + y ≥ 1050 and 0.8x + 0.9y > 860

Let x be the original price of the laptop and y be the original price of the printer.

So, the discounted price of the laptop is 0.8x and the discounted price of the printer is 0.9y

If the two are purchased together, the total discounted price is:

0.8x + 0.9y

This exceeds $860

0.8x + 0.9y > 860

The original prices of the two together is at least $1,050.

This can be written as:

x + y ≥ 1050

So, we have

x + y ≥ 1050 and 0.8x + 0.9y > 860

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