What is the value of 3 in the figure shown below?
E
с
20
3.6 3.6
118°
3.8 3.8
30
D
B

Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

=====================================

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

Answer:

  y +1 = -5(x -4)

Step-by-step explanation:

You want the point-slope equation of the line with slope -5 through point (4, -1).

The point-slope equation of a line has the form ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Substituting m=-5 and (h, k) = (4, -1), the equation is ...

  y -(-1) = -5(x -4) . . . . . . values substituted

  y +1 = -5(x -4) . . . . . . . simplified a bit

The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

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Answer:

They are equivalent

Step-by-step explanation:

\(3(3a+4) = 3(3a)+(3)(4) = 9a+12\)

Explanation: if you distribute the 3 to the formula within the parenteses, you will get the same equation as 9a+12

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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By concepts of trigonometry and of perpendicularity, the angles AKL and AKC from respective right triangles have measures of 90° and 32.3°, respectively.

As planes ABCD and BCLK are perpendicular to each other, the triangles AKL and AKC are right angled. The required angles can be found by using the following trigonometric relationships:

\(\angle AKL = 90^{\circ}\) (As line segments AK and KL are perpendicular to each other)

\(\angle AKC = \tan^{-1} \left(\frac{AC}{KC} \right) = \tan^{-1} \left(\frac{\sqrt{2}\cdot a}{\sqrt{5} \cdot a} \right) = \tan^{-1} \sqrt{\frac{2}{5} }\) (as line segments AC and KC are perpendicular to each other)

\(\angle AKC \approx 32.312^{\circ}\)

By concepts of trigonometry and of perpendicularity, the angles AKL and AKC from respective right triangles have measures of 90° and 32.3°, respectively.

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Answer:

12%

Step-by-step explanation:

so you divide 250 by 100

250 / 100 = 2.5

280 / 2.5 = 112

250 is 100%

280 is 112%

her weight raised by 12%

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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Answer: 1 5/12

Step-by-step explanation:

17/12 as a mixed number

Answer:

27.27% of the students with scolarship are seniors.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has scolarship

Event B: Is a senior

15% are senior, and of those, 40% have scolarship. So

\(P(A \cap B) = 0.15*0.4 = 0.06\)

Probability of a scolarship:

15% of 40%(seniors)

30% of 25%(juniors)

20% of 25%(sophmores).

10% of 35%(freshmen). So

\(P(A) = 0.15*0.4 + 0.3*0.25 + 0.2*0.25 + 0.1*0.35 = 0.22\)

Percentage:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.22} = 0.2727\)

0.2727*100 = 27.27%

27.27% of the students with scolarship are seniors.

The expression which has an approximate value be between the numbers 6 and 7 are (a) π + 3 and (b) √39.

In order to determine which expression has an approximate value between the numbers, 6 and 7, we can estimate the value of each expression and compare them to 6 and 7.

Option(a) π + 3 ;

We know that the approximate value of "π" is 3.14,

So, 3.14 + 3 = 6.14 (it is between 6 and 7)

Option(b) : √39 ≈ 6.24 (it is between 6 and 7)

Option (c) : 6π , We substitute, π ≈ 3.14,

We get, ≈ 18.85 (it is not between 6 and 7)

Option (d) : √35 ≈ 5.92 (it is not in between 6 and 7)

Therefore, the correct options are (a) and (b).

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The given question is incomplete, the complete question is

Which expression has an approximate value be between 6 and 7?

Select all that apply

(a) π + 3

(b) √39

(c) 6π

(d) √35

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)

Answer:

200

Step-by-step explanatiyou mom good

you mom good

Answer:

x > -5, so the correct answer is C.

Answer:

Option C

Step-by-step explanation:

According to the graph, there are vertical asymptotes at \(x=-3\) and \(x=7\). Therefore, C is correct because -3+3=0 and 7-7=0.

Answer:

Step-by-step explanation:

To the nearest whole number it would be 35

Step-by-step explanation:

All the given three conditions are true for conducting a two proportion significance test.

To check the significance of two proportions, following conditions should be met

Hence, all the three conditions must be met to conduct a two-proportion significance test.

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Answer:

sept one

Step-by-step explanation:

Answer:

  ∠a = 39°

  ∠b = 129°

Step-by-step explanation:

Vertical angles are congruent. An exterior angle of a triangle is equal to the sum of the remote interior angles.

Angle y and angle 'a' are vertical angles, so congruent.

  ∠a = ∠y = 39°

The angle marked 'b' is an exterior angle to the triangle. Its remote interior angles are 'a' and the one marked 90°.

  ∠b = ∠a +90° = 39° +90°

  ∠b = 129°

\( \huge\mathbb{ \underline{SOLUTION :}}\)

In the given figure, angles a and y are vertically opposite angles. The measure of vertical angles is equal, therefore :-

\(\small\longrightarrow\sf{m<a = m<y}\)

\(\small\longrightarrow\sf{m<a= \: 39^\circ}\)

Next, angles a and 90° are the opposite interior angles to the exterior angle b. By the triangle theorem below :-

\(\small\longrightarrow\sf{m<b=m<a+90^\circ}\)

\(\small\longrightarrow\sf{39^\circ+90^\circ}\)

• \(\small\longrightarrow\sf{m<b= 129^\circ}\)

\(\huge \mathbb{ \underline{ANSWER:}}\)

m<a= \(\large\sf{\boxed{\sf 39^\circ}}\)

m<b = \(\large\sf{\boxed{\sf 129^\circ}}\)

1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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Answer:

Step-by-step explanation:

To find the inverse of g(x) equate g(x) to y

That's

Next interchange the terms

x becomes y and y becomes x

We have

Next make y the subject

Multiply both sides by - 1

That's

Send 3 to the right side of the equation

That's

\( {y}^{5} = - x - 3\)

Find the 5th root of both sides

That's

We have the final answer as

Hope this helps you

Hello!

area

= 2*25 + (20 - 2)*(25-8)

= 50cm² + 306cm²

= 356cm²

The rental cost in dollars per square foot is $11,00

Cost of renting 1.250 square feet = $13, 750 per month

Rental cost per square foot = Total renting cost / total renting area

= $13, 750 per month / 1.250 square feet

= $11,000

Hence, $11,000 is the rental cost in dollars per square foot.

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now, we're assuming this is a regular decagon, namely a polygon with 10 sides, and regardless of perimeter or length of each side or apothem or even radius, the interior angles will  be the same for all of them, large or small or tiny.

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=10 \end{cases}\implies 10\theta =180(10-2) \\\\\\ 10\theta =180(8)\implies 10\theta = 1440\implies \theta =\cfrac{1440}{10}\implies \theta =144\)

Answer:

Well in my state, it's 6%. Use google to find out yours.

Step-by-step explanation:

Answer:

I know the sales tax is .16 here in Texas. I found out whenever me or my mom would go shopping. I would look at the tax at the bottom of the recipt or do the math. Find the sum of all the gorceries without tax and then subtract it by the total amount of money of the groceries with tax. Then divide that by the amount of groceries we bought.

Step-by-step explanation:

Answer:

177,876"^3

Step-by-step explanation:

Lol

Answer: b. The radius is the same as a cylinder with a volume of 500(3) and the same height.

Step-by-step explanation:

The volume of a cylinder is 3 times that of a cone (assuming they have the same perpendicular height and radius).

Answer:

B) x=12

Step-by-step explanation:

x+22+4x+2= 5x+24

5x+24=84

5x=60

x=12

Answer:

B. x = 12

Step-by-step explanation:

4x + 2 + x +22 = 84

5x + 24 = 84 ( addition property of equality)

5x = 60 (subtraction property of equality)

5x / 5 = 60 / 5 (division property of equality)

x = 12 (solved)