find domain and range

Answer:

m∠V = 28°

Step-by-step explanation:

In ΔUVW:

To find the measure of angle V, first find the value of x.

Interior angles of a triangle sum to 180°.

⇒ m∠U + m∠V + m∠W = 180°

⇒ (9x - 8) + (2x + 2) + (3x + 4) = 180

⇒ 9x + 2x + 3x - 8 + 2 + 4 = 180

⇒ 14x - 2 = 180

⇒ 14x = 182

⇒ x = 13

Substitute the found value of x into the expression for angle V:

⇒ m∠V = 2(13) + 2

⇒ m∠V = 26 + 2

⇒ m∠V = 28°

Therefore, the measure of angle V is 28°.

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3.

A = pi x r^2

48 = 3.141... x r^2

÷ by value of pi

15.278... = r^2

Square root the ans, to get r

Thus, R = 3.908..... So, radius is 3.9

2.

Circumference = pi x diameter

87. = 3.141... x d

÷ by value of pi

27.692............. = diameter

Radius is twice the diameter. So, divide diameter by 2 to find the radius.

27.692.....÷ 2 = 13.846...

Thus, radius is 13.8cm

Hope this helps!

Answer:

(x' , y') = ( (x ± 1) , (y ± b) )

Step-by-step explanation:

(object vector) = (x', y')

(translation vector) = ( ±1 , ±b ) ==> Since horizontal movement (x) is right/ or left meaning ±1 , and vertical movement(y) is up or down meaning ±b

Notice that  :  (image vector) = (object vector) + (translation vector)

therefore        (x' , y') = ( (x ± 1) , (y ± b) )

Answer:

30%

Step-by-step explanation:

[tex]\frac{145}{500} = 0.29[/tex] ≅ 0.30 or 30%

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{6x + 2 = 2x - 1}[/tex]

[tex]\huge\textbf{SUBTRACT 2x to BOTH SIDES:}[/tex]

[tex]\mathbf{6x + 2 - 2x = 2x - 1 - 2x}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{4x + 2 = -1}[/tex]

[tex]\huge\textbf{SUBTRACT 2 to BOTH SIDES:}[/tex]

[tex]\mathbf{4x + 2 - 2 = -1 - 2}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{4x = -3}[/tex]

[tex]\huge\textbf{DIVIDE 4 to BOTH SIDES:}[/tex]

[tex]\mathbf{\dfrac{4x}{4} = \dfrac{-3}{4}}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{x = \dfrac{-3}{4}}[/tex]

[tex]\mathbf{x = -\dfrac{3}{4}}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = -\dfrac{3}{4}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assigiment \& enjoy your day!}[/tex]

Answer:A person or thing that is different from other people or things.

Like me and you we might like different things like I like playing games you dont your the opposite of me.

A real world situation would be looking at maybe plants see how different they look or if they look the same study them and realize one is poison the other is fresh.

Step-by-step explanation:

The circumference equal to 25 units

The perimeter of square is 4 times the side.

P= 4* side

The perimeter of the square,

4x = P

Now P is =  32 units then,

32 units = 4(x)

x = 8 inches

So,  the diameter of the cylinder formed by the rotation of 8 inches  

Now, the circumference of the base is

C = 2πr = πD

If r =8  inches

C = π(8 units) = 8π units

C = 8(3.14) = 25.12 units

Hence, the circumference equal to 25 units

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By applying the law of sine, the length of side BD is equal to 9.05 cm and the image of right-angled triangle BCD is shown in the image attached below.

In order to determine the length of side BD, we would apply the law of sine because both side BD and side BC represent the opposite side and hypotenuse of right-angled triangle BCD respectively.

Mathematically, the law of sine is given by this mathematical expression:

sin(θ) = Opp/Hyp

Where:

Substituting the parameters into the formula, we have;

sin(θ) = BD/BC

sin(74) = BD/9.41

Cross-multiplying, we have:

BD = 9.41 × sin(74)

BD = 9.41 × 0.9613

BD = 9.05 cm.

By applying the law of sine, the length of side BD is equal to 9.05 cm and the image of right-angled triangle BCD is shown in the image attached below.

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Answer:

34 mm

Step-by-step explanation:

P = 2 x (L + B) for a rectangle

P = 2 x (10 + 7) = 2 x 17 = 34

By Green's theorem,

[tex]\displaystyle \int_C P(x,y)\,dx + Q(x,y)\,dy = \iint_D \frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y} \, dA[/tex]

where [tex]D[/tex] is the interior of [tex]C[/tex]. It's easy to see that

[tex]D = \left\{(x,y) ~:~ 1 \le x \le 3 \text{ and } 1 \le y \le 4\right\}[/tex]

Now,

[tex]\dfrac{\partial Q}{\partial x} = \dfrac{\partial}{\partial x}(-x^2) = -2x[/tex]

[tex]\dfrac{\partial P}{\partial y} = \dfrac{\partial}{\partial y}(\ln(x) + y) = 1[/tex]

so that the line integral reduces to

[tex]\displaystyle \int_C (\ln(x)+y)\,dx - x^2\,dy = -\int_1^3 \int_1^4 (2x+1) \, dy\,dx = \boxed{-30}[/tex]

The equation that represents the graph of f(x) is [tex]f(x) = \sqrt {x - 1[/tex]

The complete question is in the attached image

The parent square root function is:

[tex]g(x) = \sqrt x[/tex]

From the graph,

g(x) is shifted one unit right to get f(x)

This is represented as:

f(x) = g(x - 1)

So, we have:

[tex]f(x) = \sqrt {x - 1[/tex]

Hence, the equation that represents the graph of f(x) is [tex]f(x) = \sqrt {x - 1[/tex]

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The number of chocolate which goes into the small boxes is 100 chocolate

= 3x + 6x

= 9x

x + 3x + 9x = 1296

13x = 1296

x = 1296/13

x = 99.6923076923076

Approximately,

x = 100 boxes

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Answer:

  A. No.

Step-by-step explanation:

The job of science is to explain relationships in the real world. Scientists do this by making observations, forming theories regarding relationships, and conducting experiments to test those theories.

An observation of correlation may result in a theory that one of the correlated phenomena causes another. The correlation, by itself, does not demonstrate causation. Any number of other factors could be involved.

The test value and the p value for the probability are 10.5 and 0.0148.

Based on the information, the observed and expected values will be:

Observed. Expected

75. 75

100. 120

90. 75

15. 30

The p value based on the test statistic from the distribution table will be 0.0148.

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Answer:

[tex]k=2[/tex]

Step-by-step explanation:

The constant of proportionality is given as  [tex]k=\frac{y}{x}[/tex] .

Notice that when [tex]x=2[/tex] it follows that [tex]y=4[/tex].

Substitute [tex]x=2[/tex] and [tex]y=4[/tex] into the formula for the constant:

[tex]k=\frac{4}{2}=2[/tex] .

Therefore, the constant is equal to 2.

Answer:

13, -2

Step-by-step explanation:

The equation based on the information given will be x⁴ + 8x² - 12.

It should be noted that from the information given, the expression to compute will be:

= g - g(x)²

This will be:

= 4 - (4 - x²)²

= 4 - (4 - x)(4 - x)

= 4 - (15 - 8x² + x⁴)

= x⁴ + 8x² - 12

The complete question is:

Use f(x) = 2x − 3 and g(x) = 4 − x² to evaluate the expression g - g(x)².

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The surface area and the volume of the rectangular prism are 310 in² and 300 in³, respectively.

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

V =  a × b × c unit³

The surface area of the prism = 2[(5×4)+(15×4)+(15×5)]

                                                  = 310 inches²

The volume of the prism = 5 × 4 × 15

                                         = 300 in³

Hence, the surface area and the volume of the rectangular prism are 310 in² and 300 in³, respectively.

The complete question is:

A rectangular prism with a base that is 5 inches by 4 inches and a height of 15 inches. Find the volume and the surface area of the rectangular prism?

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Answer:

is it asking how many times u would get then number 5 when u roll or asking how you would expect for the first 5 rolls?

It would take about  8 hours 20 minutes for the 1000 mL of D5W to infuse completely.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the drop factor is 10 gtt/mL, hence:

Infuse rate = 20 gtt/min ÷ 10 gtt/mL = 2 mL/min

Time taken = 1000 mL / 2 mL per min = 500 min = 8 hours, 20 minutes.

It would take about  8 hours 20 minutes for the 1000 mL of D5W to infuse completely.

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Answer:

Step-by-step explanation:

900mL of RL is infusing at 80 gtt/min (80 macrodrops/min). Drop factor: 15 gtt/mL

The length of the line AB as described by points A and B in the task content is; √125.

a) The length of AB as described is;

AB = √((7-2)² + (4-(-6))²)

AB = √(25 + 100) = √125.

b) The slope of AB is;

Slope, m = (7-2)/(4-(-6)) = 5/10

Slope = 1/2.

c). The coordinates of the midpoint of AB are;

x = (4+(-6))/2 = -1

y = (7+2)/2 = 4.5

The midpoint is; (-1, 4.5).

2) The radius of the circle as described with centre (0, 0) that passes through the point (5, –3) is;

Radius = √((5-0)² + (-3-0)²)

Radius = √(25+9) = √34 = 5.8

3) Hence, the equation of a circle with centre (0, 0) that passes through the point (5, –3) is;

(x-5)² + (x-3)² = 5.8².

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Step-by-step explanation:

try this option, all the details are in the attachment.

The part of the proof regarding the triangle that is incorrect is By the Congruent Complements Theorem AMB CMD.

From the information given, it should be noted that AMC is a right angle and also that BMD is a right angle.

Therefore, it illustrates that AMC and BMD are equal.

Therefore, by the Congruent Complements Theorem AMC and BMD are equal.

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The required blank 1, blank 2 and blank 3 would be filled with 25 girls, 22 girls, 19 girls respectively.

Theatre company must cast 3 girls.
And has 25 resumes girls who wish audition.

permutation can be defined as study of combinations.

In the question we are asked to calculate the number of girls left after the director chooses.
At first director chooses 3 from 25.
At second director chooses 3 from 22.
At third director chooses 3 from 19.

Thus, the required  blank 1, blank 2 and blank 3 would be filled with 25 girls, 22 girls, 19 girls respectively.

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Answer:

Step-by-step explanation:

ABCD moves 2 quadrants, so has to move over 2 axes.

So, the only option that would work is A).

Hope this helps.

Answer:

I found 14 but their might be more!
hope that helps! :)

Step-by-step explanation:

For a randomly chosen Monday, the probability there will be less than 340 column inches of classified advertisement is 0.8413.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

The number of column inches of classified advertisements appearing on Mondays in a certain daily newspaper is normally distributed with a population mean of 320 and a population standard deviation of 20 inches.

[tex]P(X < 340) = P(z < \dfrac{(340-320)}{20})[/tex]

                    =  P(z < 1)

                    = 0.8413

Hence, For a randomly chosen Monday, the probability there will be less than 340 column inches of classified advertisement is 0.8413.

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The radius of the circular vase is 6.37 * 10^-3 m.

The term pressure is defined as the ratio of force to area. Hence we can write;

P = F/A

F =  15 N

P = 750 N/m2

A = F/P

A = 15 N/750 N/m2

A = 0.02 m^2

Now;

A = πr^2

r = √A/ π

r = √ 0.02/3.142

r = 6.37 * 10^-3 m

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Answer:

75% or 65%

Step-by-step explanation: that's what I did at lest