A study reports the following data on impregnated compressive modulus (psi x 106) when two different polymers were used to repair cracks in failed concrete. Epoxy 1.74 2.15 2.02 1.95 MMA prepolymer 1.78 1.57 1.72 1.67 Obtain a 90% CI for the ratio of variances by first using the method suggested below to obtain a general confidence interval formula. (Use s₁ for expoxy and s₂ for MMA prepolymer. Round your answers to two decimal places.) 5₁²10₁² F₁

From the given figure, the value of a is, 19.

What are sides of triangle?

The three vertices of a triangle connect the straight lines that make up its sides. In other terms, we can state that a triangle's sides are line segments that converge at the triangle's vertices.

In the given figure one angle is given which is 50 degree and one side is given which is 16.

The given triangle is right angle triangle.

By using the given angle and the side of the triangle we have to find the another side of the triangle.

By using the tangent ratio of the triangle,

\(tan(50) = \frac{a}{16} \\a = 16 (tan(50))\\a = 19.07\)

a ≈ 19

Therefore, the length of side a is 19.

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Answer:

the answer of your question x=47

Answer:

The video is blocked for me

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

7x−5=2x+5

step 1 add 5 to each side

-5 + 5 = cancels out

5 + 5 = 10

we now have 7x = 2x + 10

step 2 subtract 2x from each side

2x - 2x cancels out

7x - 2x = 5x

we now have 10 = 5x

step 3 divide each side by 5

5x / 5 = x

10 / 5 = 2

we' re left with x = 2

9A:

The problem says 35% of the 3560 applications are from boys who lived in other states.

This can be expressed as:

3560*35% = 3560*0.35 = 1246 applications.

9B:

The problem says applications to the university (3560 applications) represented 40% of all applications.

This can be expressed as:

3560 = 40% * A, where A = number of applications received in all.

To find how many applications received in all, just solve for A.

A = 3560 / 0.4 = 8900 applications.

The key to these types of problems is that "of" signals multiplication. For example, 40% of all applications is 40% * all applications.

Answer/Explanation

x    y

-1    -3

0     0

y- intercept (0,0)

slope: 3

To determine the minimum required diameter (D) of the cross-section of the beam, we need to consider the maximum bending moment and the maximum allowable bending stress.

The bending stress in a beam is given by the formula:

σ = (M * c) / I

Where σ is the bending stress, M is the maximum bending moment, c is the distance from the neutral axis to the outermost fiber (which is equal to half of the diameter for a circular cross-section), and I is the moment of inertia of the cross-section.

Rearranging the formula, we have:

D = (2 * M) / (σ * π)

Substituting the given values, with M = 80 kNm (converted to Nm) and σ = 500 MPa (converted to N/m²), we can calculate the minimum required diameter (D):

D = (2 * 80,000 Nm) / (500,000,000 N/m² * π)

D ≈ 0.255 meters or 255 mm

Therefore, the minimum required diameter of the cross-section of the beam is approximately 0.255 meters or 255 mm to resist the maximum bending moment of 80 kNm within the allowable bending stress of 500 MPa.

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9514 1404 393

Answer:

  84.3 square meters

Step-by-step explanation:

A well-known formula for the area of a regular n-gon makes use of the perimeter (P) and the measure of the apothem (a), the distance from the center to one side. The ratio of half the length of one side to the apothem is the tangent of half the central angle of one triangle, so we have ...

  (P/(2n))/a = tan(180°/n)

Then the apothem is ...

  a = P/(2n·tan(180°/n))

The area formula tells you ...

  A = (1/2)Pa

so this would give an area formula for an n-gon of ...

  A = P²/(4n·tan(180°/n))

For a pentagon (n=5) with a perimeter of 35 m, the area is ...

  A = (35 m)²/(4·5·tan(36°)) = 61.25 m²/tan(36°) ≈ 84.3 m²

Answer:for second one

2.02 m² is the area of pentagon.

Answer:

It's c

Step-by-step explanation:

I found out that a, b, and d equal, I remember doing it when i was in 7th grade

Answer: 7.5

Step-by-step explanation:

\(-15=\frac{x}{-0.5}\\\\-15=-2x\\\\x=\boxed{7.5}\)

Answer:

The area of a triangle is 1/2BH, or 1/2 times the base times the height.

If the area = 6, and B and H must both be whole numbers.

The area of the triangle ΔSTU is given by A = 12 units²

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle ΔSTU be represented as A

Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units

So , the base of the triangle ΔSTU = 6 units

The height of the triangle ΔSTU = 4 units

So , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

The area of triangle ΔSTU = ( 1/2 ) x 4 x 6

The area of triangle ΔSTU = 12 units²

Therefore , the value of A is 12 units²

Hence , the area of the triangle is 12 units²

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The complete question is attached below :

The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?

Answer:

38.8

Step-by-step explanation: 40% of a discount from the regular price of 97 dollars is 38.8

Answer:

31:150

Step-by-step explanation:

First of all we convert the hours into minutes:

5×60=300

which gets us 42:300, which we can simplify to:

31:150

and is 31 is prime and 150 can't be divided into it without a remainder, it is in it's simplest form and it is the answer.

Answer:

7:50

Step-by-step explanation:

The ratio:

 42 min

-------------- can be rewritten in the equivalent

  5 hours

 42 min

--------------- = 42/300 = 7/50 or 7:50

300 min

Answer:

the correct answer is b. Initially the car is 420 miles from its destination.

Step-by-step explanation:

Answer:

n=15, 35/28=15/12

Step-by-step explanation:

28/12=2.33

35/2.33= 15

The value of dy/dx for the curve x=2te^(2t), y=e^(-8t) at point (0,1) is -4.

Given curve: x=2te^(2t), y=e^(-8t)

We have to find the value of dy/dx at the point (0,1).

Firstly, we need to find the derivative of x with respect to t using the product rule as follows:

\(x = 2te^(2t) ⇒ dx/dt = 2e^(2t) + 4te^(2t) ...(1)\)

Now, let's find the derivative of y with respect to t:

\(y = e^(-8t)⇒ dy/dt = -8e^(-8t) ...(2)\)

Next, we can find dy/dx using the formula: dy/dx = (dy/dt) / (dx/dt)We can substitute the values obtained in (1) and (2) into the formula above to obtain:

\(dy/dx = (-8e^(-8t)) / (2e^(2t) + 4te^(2t))\)

Now, at point (0,1), t = 0. We can substitute t=0 into the expression for dy/dx to obtain the exact value at this point:

\(dy/dx = (-8e^0) / (2e^(2(0)) + 4(0)e^(2(0))) = -8/2 = -4\)

Therefore, the value of dy/dx for the curve

\(x=2te^(2t), y=e^(-8t)\) at point (0,1) is -4.

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Answer:

3rd option

Step-by-step explanation:

Answer:

2≤z≤5 or 2<z<5

Step-by-step explanation:

B or D I'm not sure

When making economic decisions, a traditional economy looks to cultural traditions, beliefs, and other tenets.

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Answer:

B

Step-by-step explanation:

21 inches to 7 inches

The width of the original image is B)  \(7\frac{7}{8}\) inches.

Given that: The width of the large poster is 21 inches.

Given that: The original image has dimensions that are 3/8 of the dimensions of the image in the poster.

So the width of the original image is = \(\frac{3}{8}\cdot21=\frac{63}{8}=7\frac{7}{8}\)

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Answer:

c

Step-by-step explanation:

because the real awnser is 57/4 but simpfly

Answer:

C) \(14\frac{1}{4}\)

explanation:

\(4\frac{5}{6} +4\frac{2}{3} +4\frac{3}{4} \\\\\frac{29}{6} +\frac{14}{3} +\frac{19}{4} \\\\\frac{58}{12} +\frac{56}{12} +\frac{57}{12} \\\\\frac{171}{12} \\\\14\frac{1}{4}\)

Answer:

C) 25.12 feet and $18.84

Step-by-step explanation:

C = 2(pi)(r)

Multiply feet by cost per foot

Answer:

(a)25.12 (b)$18.84

Step-by-step explanation:

(a) The circumference or perimeter of a circle is \(2\pi r\). Since we know that the radius of the garden is 4 we find that the circumference of the garden is \(8\pi\), but we can round \(\pi\) to 3.14, which gives us C 25.12 feet of fencing.

(b) We can plug in the circumference of the circle which we found in the first question into the equation \(circumference\times \0.75\) which gives us \(25.12\times \0.75\) or $18.84.

Answer:

\(\huge\boxed{\sf x = 13}\)

Step-by-step explanation:

For similar triangles, sides of the triangles are proportional.

So,

\(\displaystyle \frac{LY}{HB} =\frac{LR}{HN} \\\\\frac{21}{28} =\frac{x + 11}{3x-7} \\\\Cross\ multiply\\\\21(3x-7)=28(x+11)\\\\63x-147=28x+308\\\\Subtract\ 28x\ to\ both\ sides\\\\63x-28x-147=308\\\\35x-147=308\\\\Add \ 147 \ to \ both \ sides\\\\35x = 308+147\\\\35x = 455\\\\Divide \ 35 \ to \ both \ sides\\\\x = 455/35\\\\x = 13\\\\\)

\(\rule[225]{225}{2}\)

Answer:

A

Step-by-step explanation:

Since each week the number of teams is increasing by a constant amount, the graph has a constant slope, and should be a line, and not any kind of exponential curve.

Answer:

Graph A

Step-by-step explanation:

registering 6 teams weekly

y=6x- this is linear equation

Graph A is the correct answer,

the other graph is not a linear function

Answer: The product of the two numbers is 2400.

Step-by-step explanation: You multiply the numbers on the ratio with the difference first you multiply 2 with 20 then you multiply 3 with 20.

Answer:

6f + 3

Step-by-step explanation:

so in order to get a equation that is equivalent to 4f + f2 + 3 is you have to simplify the expression by adding numbers to numbers and variables to variables.

so we are going to add 4f and 2f together:

(4f + f2) + 3

And you get the expression:

6f + 3

I hope this helps you!!

To sketch a graph of y = -4 csc(x) + 7, we begin by sketching a graph of y = csc(x). The function csc(x), also known as the cosecant function, is the reciprocal of the sine function.

It represents the ratio of the hypotenuse to the opposite side of a right triangle in trigonometry. The graph of y = csc(x) has vertical asymptotes at x = nπ, where n is an integer, and crosses the x-axis at those points. It approaches positive and negative infinity as x approaches the vertical asymptotes.

Next, we multiply the graph of y = csc(x) by -4 and shift it upwards by 7 units to obtain y = -4 csc(x) + 7. The multiplication by -4 reflects the graph vertically and the addition of 7 shifts it upwards. The resulting graph will have the same vertical asymptotes as y = csc(x) but will be scaled by a factor of 4. It will still cross the x-axis at the vertical asymptotes but will be shifted upward by 7 units. The graph will exhibit the same behavior of approaching positive and negative infinity as x approaches the vertical asymptotes..

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Answer:

m less than or equal to 50

Step-by-step explanation:

300 minus 250 is the money that shonte is willing to spend, 50 dollars. Shonte can spend less than 50 because she wants At Least 250 dollars left. So M would be equal to or less than 50.

Answer:

Domain: input values (x-values)

Range: output values (y-values)

Absolute value: remove negative sign → output becomes positive
eg. |-2| = 2

Squaring a number → output is always positive

\(a(x)=3|x|\)

Domain = all real numbers

Range = all positive numbers and zero

\(b(x)=3x^2\)

Domain = all real numbers

Range = all positive numbers and zero

The absolute minimum value of f(x) on the interval [-5, 1] is -1125, which occurs at x = -5, and the absolute maximum value is 19, which occurs at x = 1.

To find the absolute extreme values of the function f(x) = x^4 + 8x^3 + 10x^2 on the interval [-5, 1], we need to evaluate the function at its critical points and endpoints.

First, we find the critical points by taking the derivative of f(x) and setting it equal to zero:

f'(x) = 4x^3 + 24x^2 + 20x = 0

Factoring out common terms, we get:

4x(x^2 + 6x + 5) = 0

Setting each factor equal to zero, we find the critical points:

x = 0, x = -5, x = -1

Next, we evaluate the function f(x) at these critical points and the endpoints of the interval:

f(-5) = (-5)^4 + 8(-5)^3 + 10(-5)^2 = 625 - 2000 + 250 = -1125

f(-1) = (-1)^4 + 8(-1)^3 + 10(-1)^2 = 1 - 8 + 10 = 3

f(0) = (0)^4 + 8(0)^3 + 10(0)^2 = 0

Finally, we evaluate the function at the endpoints of the interval:

f(-5) = (-5)^4 + 8(-5)^3 + 10(-5)^2 = -1125

f(1) = (1)^4 + 8(1)^3 + 10(1)^2 = 19

From these evaluations, we can see that the absolute minimum value of f(x) on the interval [-5, 1] is -1125, which occurs at x = -5, and the absolute maximum value is 19, which occurs at x = 1.

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