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Answer:

-13.858 !!!

Step-by-step explanation:

Answer:

Substitute the given value into the function and evaluate.

2 x 3 + 7 x 2 − 4 x − 15

Step-by-Step Process

Answer:

k=3

Step-by-step explanation:

Answer:

50.6°

Step-by-step explanation:

The reference angle = angle of elevation [tex] (\theta) [/tex]

Side opposite to the reference angle = 78 ft

Adjacent side = 64 ft

Applying trigonometric ratios formula, we would have:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(\theta) = \frac{78}{64} [/tex]

[tex] tan(\theta) = 1.21875 [/tex]

[tex] \theta = tan^{-1}(1.21875) [/tex]

[tex] \theta = 50.6 [/tex] (nearest tenth)

Answer:

$15973.4

Step-by-step explanation:

The formula for depreciation is:

a(1 - r)^t

a = Initial value =$36,000

r = depreciation rate = 15% = 0.15

t = time in years = 5 years

The depreciation value = $36000 × (1 - 0.15)⁵

= 36000(0.85)⁵

= $15973.39125

Approximately = $15973.4

The value of the boat is $15,973 after 5 years.

Given that,

According to the scenario, computation of the given data are as follows,

Value of boat = [tex]A (1 - r )^{t}[/tex]

By putting the value, we get

Value = [tex]36,000(1 - 0.15)^{5}[/tex]

= [tex]36,000(0.85)^{5}[/tex]

= 36,000 [tex]\times[/tex] 0.4437053125

= $15,973.4  or $15,973

Learn more: https://brainly.com/question/4557688

You meant to say x^2 - 49 and the second binomial is x^2 - 16.

x^2 - 49 = (x - 7) (x + 7).

Set each factor to 0 and solve for x individually.

x - 7 = 0

x = 7

x + 7 = 0

x = -7

Do the same for x^2 - 16.

Here is the set up:

x^2 - 16 = (x - 4) (x + 4).

Take it from here.

Answer: B.) both the conditional statement and its converse .

Explanation: In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.

The required solution is both the conditional statement and its converse.

It is required to choose the correct statement.

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.

Given:

In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.

Biconditional Statement Examples:

The polygon has only four sides if and only if the polygon is a quadrilateral.

Therefore, the required solution is both the conditional statement and its converse .

Learn more details about conditional statement here:

https://brainly.com/question/18152035

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Answer:

x=30⁰

Step-by-step explanation:

4x-55+3x+25=180

7x-30=180

7x=210

x=30⁰

Proof

3(30)+25=115

4(30)-55=65

115+65=180⁰

Answer:

Weight of EACH square = 0.2 pounds

18% oat = 0.36 pounds

Step-by-step explanation:

Given that:

Weight of bag = 2 lb

Percentage of oat in mix = 18%

% of the mix is oats. (a) Use the 10 by 10 grid to represent 2 lb of trail mix. Determine how much weight each square represents and label all the squares. Then, shade in 18% of the grid. (b) What is the weight of the oats in the trail mix? Show your work and label your answer. Answer:

If trail mix is represented by 10 by 10 square grid ;

Each square represents : 2 pounds / 10 = 0.2 pounds

18% of the total weight

0.18 * 2 = 0.36 pounds

Answer:

x-1=y

Step-by-step explanation:

Is this what you need?

Answer:

40 tablespoons

Step-by-step explanation:

Answer:

The answer is 14

Step-by-step explanation:

The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.

Answer:

3) x = 21.33

4) x = 33

5) x = 11

Step-by-step explanation:

3: (3x + 17) + (x + 40) + (2x - 5) = 180

6x + 52 = 180

6x = 128

x = 21.333...

4: 180 / 3 = 60

3x - 39 = 60

3x = 99

x = 33

5: 90 + (6x + 7) + (2x - 5) = 180

8x + 2 = 90

8x = 88

x = 11

Answer:

Where is the question?

Answer:

(2, 0)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

-20y - 7x = -14

10y - 2x = -4

Step 2: Rewrite systems

10y - 2x = -4

Step 3: Redefine systems

-20y - 7x = -14

x = 5y + 2

Step 4: Solve for y

Substitution

Step 5: Solve for x

Step 6: Graph systems

Check solution set and systems.

Answer:

y=22.1

Notice how 24.7 and 11.7 are 1.3 times larger than the corresponding sides in the smaller triangle. Therefore, 17 times 1.3 should give us our y value.

17 x 1.3=22.1

22.1=y

Step-by-step explanation:

Answer:

O Yes, (0, 2) is a solution

Step-by-step explanation:

The Solution of an Equation

Given the equation

-2x + y = -1

An ordered pair (a,b) is a solution of the equation if

-2a + b = -1

Let's test the point (0,2) to check if it's a solution of the equation:

Replacing x=0, y=-1

-2(0) + (-1) = -1

0 - 1 = -1

-1 = -1

Since the equation is satisfied, the pair (0,2) is a solution.

Answer: O Yes, (0, 2) is a solution

Answer:

No, (0, 2) is not a solution.

Step-by-step explanation:

I did the test

Answer:

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.

Step-by-step explanation:

Answer: M is attached to x

Step-by-step explanation:

The equation in standard form is y = mx +b

m is attached and is modifying the value of x

Answer:

11/84

Step-by-step explanation:

first make 2 3/4 a mixed number and multiply 11/4

by 1/21 and you get 11/84

Answer:

$65

Step-by-step explanation:

Let

x = original price of the item

Mai buys one item and saves $13,

This means 20% of the original price of the item = $13

20% of x = 13

20/100 * x = 13

0.2 * x = 13

0.2x = 13

Divide both sides by 0.2

x = 13 / 0.2

= 65

x = $65

Therefore, the original price of the item is $65

Answer:

[tex]f(6) = f(-6)[/tex] --- True

[tex]f(6)=2 * f(3)[/tex] --- False

Step-by-step explanation:

Given

[tex]f(x) = \frac{x^2}{3} - 2[/tex]

Solving (a): f(6) = f(-6)

First, we solve for f(6) by substituting 6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(6) = \frac{6^2}{3} - 2[/tex]

[tex]f(6) = \frac{36}{3} - 2[/tex]

[tex]f(6) = 12 - 2[/tex]

[tex]f(6) = 10[/tex]

Next, we solve for f(-6) by substituting -6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(-6) = \frac{-6^2}{3} - 2[/tex]

[tex]f(-6) = \frac{36}{3} - 2[/tex]

[tex]f(-6) = 12 - 2[/tex]

[tex]f(-6) = 10[/tex]

We have that:

[tex]f(6) = f(-6) = 10[/tex]

Hence, the statement is true

Solving (b): [tex]f(6)=2 * f(3)[/tex]

We have that:

[tex]f(6) = 10[/tex]

Next, we solve for f(3) by substituting 3 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(3) = \frac{3^2}{3} - 2[/tex]

[tex]f(3) = \frac{9}{3} - 2[/tex]

[tex]f(3) = 3 - 2[/tex]

[tex]f(3) = 1[/tex]

[tex]2 * f(3) = 2 * 1[/tex]

[tex]2 * f(3) = 2[/tex]

So:

[tex]f(6)=2 * f(3)[/tex]

[tex]10 \neq 2[/tex]

Hence, the statement is false

Answer:

$40781250

Step-by-step explanation:

Okay so the formula for simple interest is: I = P x T x R divided by 100

25000 x 10875 x 15 = 4078125000 / 100 = $40781250

If you have the multiple choice answers:

A. $160

B. $200

C. $1600

D. $16,000

the answer is C. $1600

here's why:

The principal is $10,000, the interest rate is 2%, and the time is 8 years.

I = Prt

 = $10,000 · 2% ⋅ 8

 = 10,000 ⋅ 0.02 ⋅ 8

 =         1600

So, the interest earned is $1600.

Answer:

Answer: 3) [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Radical Form and Exponent Form

A radical can be expressed as a rational exponent following the identity:

[tex]\displaystyle \sqrt[m]{x^n}=x^\frac{n}{m}[/tex]

We should also recall that:

[tex](x^n)^m=x^{nm}[/tex]

We are given the expression:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}[/tex]

Applying the power of power:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\left(5^{\frac{3}{4}\cdot \frac{2}{3}}\right)[/tex]

Simplifying:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=5^{\frac{1}{2}}[/tex]

Converting to radical form:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\sqrt{5}[/tex]

Answer: 3) [tex]\sqrt{5}[/tex]

Answer:

4x + 12 = -4

4x = -16

x = -4

Step-by-step explanation:

Have a great day :)

Answer:

x>-5

Step-by-step explanation:

-9 - -4 =-5

x>-5

↝ Graph from Number Line ↝

x + 4 > -9

x + 4 + 9 > 0

x + 13 > 0

x > -13

↝ Then we plot a dot/small circle (open dot) at -13 then straight draw a line from -13 to the right. (Shown in the picture)

Answer:

w = 10

l = 50

Step-by-step explanation:

Formula of Perimeter: w + w + l + l or 2w + 2l

l = 5w

2l + 2w = 120

2(5w) + 2w = 120

10w + 2w = 120

12w = 120

w = 10

l = 5(10)

l = 50

Check:

2l + 2w = 120

2(50) + 2(10) = 120

100 + 20 = 120

120 = 120

Hope This Helps!

Lets denote our variables as:

The formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length of the rectangle and W is the width of the rectangle. We know that the perimeter of the rectangle is 120m, so we can write:

2(x) + 2(5x) = 120

2x + 10x = 120

12x = 120

 x = 120/12

 x = 10 m → Width of the rectangle

Substituting in the length:

5x = 5(10) = 50 m → Length of the rectangle