Use the substitution to solve the system.
-4x+3y=32
y=3x+19

x=
y=

A & B

Step-by-step explanation:

You find the rate of change by taking the change in y over the change in x. If you look at A, you'll quickly realize there is no change in y as x increases. If you look at B the same is true, as x increases y stays the same.

Answer:

Write the problem as a mathematical expression.

X=−1/5; f(x)=(25/2)x+(−91/2)

Replace the variable x with x=−1/5 in the expression.

f(−1/5)=(25/2)(−1/5)−91/2

Simplify the result.

−48

Step-by-step explanation:

Answer:

The math club has 22 students, and the art club has 34 students.

Step-by-step explanation:

Given that there are a total of 56 students between the art club and the math club, and that the art club has 12 more students than the math club, to determine how many students there are in each club, the following calculation must be performed:

X + X + 12 = 56

2X + 12 = 56

2X = 56 - 12

X = 44/2

X = 22

Thus, the math club has 22 students, and the art club has 34 students.

Answer:

x = 10, -4

Hope this helped!

Answer:

He is likely to be accurate.

Step-by-step explanation:

An estimate is a value that is close to the true or actual value. Usually, a sample from a smaller group is projected into a larger population. To crosscheck the trueness of the estimate, we compare the small sample to the large sample thus;

If 40 employees =  8 applicants for vacation

1200 employees = ? applicants for vacation

Cross multiplying the above gives;

1200 * 8

40

= 9600/40

= 240 applicants for vacation.

The figure 240 is close to the owner's estimate of 250.

Answer:

0.20148

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 230

μ is the population mean = 184

σ is the population standard deviation = 55

z = 230 - 184/55

z = 0.83636

P-value from Z-Table:

P(x<230) = 0.79852

P(x>230) = 1 - P(x<230) = 0.20148

Therefore, the probability that the eye contact time is greater than 230 seconds is 0.20148

Answer:

5:7

Step-by-step explanation:

Answer:

135c^7

Step-by-step explanation:

[tex]135c^7[/tex] is the simplified equation of the given expression.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

To simplify [tex]5c(3c^2)^3[/tex], we need to apply the power rule of exponents, which states that [tex](a^m)^n = a^{(m*n)[/tex].

In this case, we have [tex](3c^2)^3[/tex], which means we need to multiply the exponent 3 by the exponent 2, giving us 6. So, we can rewrite the expression as:

[tex]5c(3c^2)^3 = 5c(3^3c^{(2*3)})[/tex]

Simplifying further, we get:

[tex]5c(3^3c^6) = 5c(27c^6)[/tex]

Finally, we can simplify by multiplying 5 and 27, and adding the exponents of c:

[tex]5c(27c^6) = 135c^{(1+6)} = 135c^7[/tex]

Therefore, [tex]5c(3c^2)^3[/tex] simplifies to [tex]135c^7[/tex].

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Answer/Step-by-step explanation:

Area of trapezium = ½*(AD + BC)*AB

Area = 42 cm²

AD = (x + 8) cm

BC = (x + 5) cm

AB = x cm

Plug in the values into the equation

42 = ½((x + 8) + (x + 5))*x

42 = ½((x + 8 + x + 5)*x

42 = ½(2x + 13)*x

Multiply both sides by 2

42*2 = (2x + 13)*x

84 = 2x² + 13x

2x² + 13x = 84

Subtract both sides by 84

2x² + 13x - 84 = 0

Answer:

n=27

Step-by-step explanation:

Answer:

n=27

Step-by-step explanation:

Let's solve your equation step-by-step.

n−6=21

Step 1: Add 6 to both sides.

n−6+6=21+6

n=27

Hope it helped!

Answer:

80.4

Step-by-step explanation:

Use the tan formula

The value of X is approximately 80.38 units.

Here, we have,

To find the value of X, we can use trigonometric functions.

In this case, we'll use the tangent function, which relates the angle and the sides of a right triangle.

The tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

In this scenario, we have the angle between the hypotenuse and the base as 15°, and the base of the triangle is given as 300 units.

Using the tangent function, we can set up the equation:

tan(15°) = X / 300

Now, let's solve for X:

X = 300 * tan(15°)

Using a calculator, we find:

X ≈ 80.384

Rounding to the nearest tenth, the value of X is approximately 80.38 units.

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Answer:

x = 29

Step-by-step explanation:

Answer: Dhs 29312.4

Step-by-step explanation:

For a leap year, we should note that there are 366 days. Since there were 52 Sundays, the number of days worked by Aden will be:

= 366 - 52

= 314 days

Since she got Dhs 354003 as her annual salary last year, the amount received per day will be:

= 354003 / 314

= Dhs 1127.4

The amount earned in March will be:

= (31 - 5) × 1127.4

= 26 × 1127.4

= Dhs 29312.4

Answer:

[tex]10\:\mathrm{meters}[/tex]

Step-by-step explanation:

We can use trigonometry for a right triangle to solve this problem:

[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].

The height of the flagpole is 10 meters.

"It is the angle from the horizontal upward to an object."

For given question,

Consider the following figure.

The angle of elevation is 18°

⇒ ∠ACB = 18°

Also, BC = 30 meters

We need to find the height of the flagpole i.e., we need to find the distance AB.

Consider a tan(∠ACB )

[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]

Therefore, the height of the flagpole is 10 meters.

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Answer: 80 perhaps

Step-by-step explanation:

Answer:

the answer is c 40 ft because to find the area is half of base times height

Step-by-step explanation:

8 times 10 = 80

80/2= 40

Answer:

Step-by-step explanation:

First expand into [tex]\left(x^2-9\right)\left(3x+2\right)[/tex]. Then expand again to[tex]3x^3+2x^2-27x-18[/tex]

Answer:

a. About 0.907185 kg to 2.72155 kg

b. About 1857 kg

c. About 0.005 g

d. About 0.75 feet

e. About 15 to 16 feet

Step-by-step explanation:

These are all estimated measurements and may vary across different regions and jurisdictions.

Answer:

A.

Step-by-step explanation:

in order for a function to be a function, one input must only have one output.

We see that in option B, -1 has two outputs (10, 18)

In option c, we see that -4 has two outputs (2, -2)

In option D, we see that -3 has two outputs (5, 0)

This means A is the correct option because each input has only one output.

Answer:

Step-by-step explanation:

1). Figure given on the top shows two lines with red marks (on segments UT and SR) are equal in measure.

Therefore, UT ≅ RS

2). In the second figure, Two angles have been marked with red arcs are equal in measure.

Therefore, ∠C ≅ ∠D

3). Angle marked with red square is a right triangle.

∠D = 90°

Answer:

reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer:

hehhfhrhrjrhrh

Step-by-step explanation:

jfjfjurufurufufjfufuhfhfjfirjfujrjfirkfkhu is the term-to-term of all 4x 4 in a number subtract and its own in an expression 6.40 is the term-to-term of all that they are students to the people who is the true and their family sense TTYL their minds to the people who is the term-to-term

Answer:

2 dollars.

Step-by-step explanation:

1 meter costs 3 dollars

2/3 meter costs 2/3 * 3

2/3 * 3 = 2

So you would pay 2 dollars for 2/3 of a meter.

9514 1404 393

Answer:

  15.8°

Step-by-step explanation:

The relationship between angle trig functions and sides of a right triangle is summarized in the mnemonic SOH CAH TOA. Here, we're given the side opposite the angle (the height of the deck), and the side adjacent to the angle (the horizontal distance). So, the applicable relation is ...

  Tan = Opposite/Adjacent

  tan(angle) = 1450/5128

Then the angle is found using the inverse tangent function:

  angle = arctan(1450/5128) ≈ 15.8°

The angle of depression is about 15.8°.

Answer: c

Step-by-step explanation:

Answer:

Let's try C

Step-by-step explanation:

Answer:

I don't see any table please be sure to include it.

Step-by-step explanation:

Answer:

Lynn

Step-by-step explanation:

29.11 divided by 35 is 82 remainder 31. Lynn has the closest answer.

Answer:

The answer should be 40

Step-by-step explanation:

85+55=140

180-140=40

Answer:

1 = 50°,  2 = 130°,  3 = 50°,  4 = 130°,  5 = 40°,  6 = 140°,  7 = 90°,  8 = 140°

Step-by-step explanation:

The sum of the angles of a triangle is 180°. A flat angle measures 180° as well.

Angle 1: 180 - 90 - 40 = 50°

Angle 2: 180 - 50 = 130°

Angle 3: 180 - 130 = 50°

Angle 4: 180 - 50 = 130°

Angle 5: 180 - 90 - 50 = 40°

Angle 6: 180 - 40 = 140°

Angle 7: 180 - 90 = 90°

Angle 8: 180 - 40 = 140°

It's a little complicated, but I hope this helps!

Answer:

$59.13

Step-by-step explanation:

6% of 55.78= 3.35

3.35+55.78=59.13

Answer:

2/5

Step-by-step explanation:

(y2-y1)/(x2-x1)=slope

8-6=2

3+2=5

slope is 2/5

Answer: The slope of the line is 0.4

Step-by-step explanation: I wish it help.