help me pls in math plssss

Answer: 50

Step-by-step explanation:

I am rounding it to 1 significant figure.

9.8 = 10 (round up when the last digit is 5, 6, 7, 8 or 9)

5.2 = 5 (round down when the last digit end with 0, 2, 3 or 4)

So it now is 10 x 5 = 50

Rounding to 1 significant figure, we get the product of 9.8 * 5.2 is 50. Thus, option B is correct.

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

Given product is 9.8 * 5.2

Now we are rounding it to 1 significant figure.

Round up when the last digit is 5, 6, 7, 8 or 9

9.8 = 10

Round down when the last digit end with 0, 2, 3 or 4

5.2 = 5

So, 10 x 5 = 50

Thus, option B is correct.

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The maximum normal stress in the bracket, assuming it is a rod with a diameter of 1.75 inches and an applied force of 2.1 kip, is approximately 9.41 ksi.

To determine the maximum normal stress in the bracket, we need to consider the applied force and the geometry of the rod.

Given:

Applied force (P) = 2.1 kip

Rod diameter (d) = 1.75 in

First, we need to calculate the cross-sectional area (A) of the rod using its diameter:

A = π * (d/2)^2

A = π * (1.75/2)^2

A ≈ 2.405 in^2

Next, we need to convert the applied force from kip to pounds (lb):

P = 2.1 kip * 1000 lb/kip

P = 2100 lb

The maximum normal stress (σ) can be calculated using the formula:

σ = P / A

Substituting the values, we have:

σ = 2100 lb / 2.405 in^2

σ ≈ 872.35 psi

Finally, we convert the stress from psi to ksi:

σ = 872.35 psi / 1000 psi/ksi

σ ≈ 0.87235 ksi

Therefore, the maximum normal stress in the bracket is approximately 0.87235 ksi or 872.35 psi.

The maximum normal stress in the bracket, assuming it is a rod with a diameter of 1.75 inches and an applied force of 2.1 kip, is approximately 9.41 ksi. This value is obtained by converting the force to pounds, calculating the cross-sectional area of the rod, and dividing the force by the area to obtain the stress. It is important to note that this calculation assumes the bracket is made of a homogeneous material and is subject to axial loading. Proper engineering analysis and consideration of factors like material properties, boundary conditions, and safety factors are essential for accurate stress analysis in practical applications.

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Answer:

A

Step-by-step explanation:

You double with these ratios for example 3/2 times 2 = 6/4 which gives you a straight line when graphed

\((1+ x)^{-4}\) = 1-4x +10 x^2 +10 x^2 -20 x^3 +................. is the required maclaurin series for the function 1 / \((1+x)^{4}\) . and explained in detailed as ;

we know that the maclaurin says that :

\((1+x)^{k}\) = 1+ kx + k(k-1) x^2 /2! + k(k-1)(k-2) x^3/3! +.............

hence the value of k = -4  then on substituting we get,

\((1+ x)^{-4}\) = 1+ (-4) x + (-4)(-4-1)x^2 /2 +..........

(1+ x)^{-4} = 1- 4x + 20 x^2 /2 - 120 x^3 /6 + ...........

(1+ x)^{-4} = 1-4x +10x^2-20x^3 +.........

hence the equation of maclaurin series for the function is

(1+ x)^{-4}  = 1-4x +10 x^2 +10 x^2 -20 x^3 +.................

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Answer:

There are no solutions.

Step-by-step explanation:

−10p+9=−10p

Step 1: Add 10p to both sides.

−10p+9+10p=−10p+10p

9=0

Step 2: Subtract 9 from both sides.

9−9=0−9

0=−9

Answer:

0.1

-0.2

-0.5

Step-by-step explanation:

Each term is 0.3 less than the previous term

1.3 - 0.3 = 1

1 - 0.3 = 0.7

0.7 - 0.3 - 0.4

0.4 - 0.3 = 0.1

0.1 - 0.3 = -0.2

-0.2 - 0.3 = -0.5

Answer:

-8

Step-by-step explanation:

m = -128/16 =-8

-8

i hope you get answer and give 5 hearts in my answer

One possible correct explanation of how to find the volume of a cylinder is:To find the volume of a cylinder, you need to multiply the area of the base by the height.

The base of a cylinder is a circle, so the area of the base is equal to pi times the radius squared. The height of the cylinder is the distance between the two circular bases. So, if you know the radius of the base and the height of the cylinder, you can use the formula \(V = pi × r² × h\) to find the volume of the cylinder.

It's important to note that the units used for the radius, height, and volume should be consistent. For example, if the radius is given in meters and the height is given in centimeters, they need to be converted to the same unit before the formula is applied. And the resulting volume should have units cubed, such as cubic meters or cubic centimeters.

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Answer:

cannot be determine

Step-by-step explanation:

I'm pretty sure you have to plug in all the x to see if it will equal to the y, but since none of the equation equals to the y's on the table the equation cannot determine the answer for y. If you get this wrong I am truly sorry

The tin of beans cost in pounds is 0.9 and two tin of beans cost in pounds, £ is 1.8.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Ed buys a box of eggs costing £2.80, two packs of bacon for £2.25 each and two tins of baked beans.

Let's suppose the cost of  tins of baked beans is x

2.80 + 2×2.25 + 2x = 10 - 0.90    (100p = £1)

2.80 + 4.5 + 2x = 9.1

2x = 1.8

x = 0.9

Thus, the tin of beans cost in pounds is 0.9 and two tin of beans cost in pounds, £ is 1.8.

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The rate of change of S for the weekly sales is :

-250 000e⁻°·⁵t

Given:

the sales of the product is :

S = 500,000e^-0.5t

where S is the weekly sales in the dollars and t is the number of weeks since end of the campaign.

we are asked to find the rate of sales dS/dt = ?

that is the rate of sales of delay.

Given:

S = 500,000e^-0.5t

dS/dt =(500,000)e^-0.5t + 500,00 (e^-0.5t)

= 0 +  500,00 (e^-0.5t)

= - 250 000 e^0.5t

therefore, dS/dt = - 250 000 e^0.5t

Hence we get the required answer.

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1) Since the value of y varies directly with x, we can write

y=kx Plugging into that

-8 = k(4)

-8 = 4k Divide both sides by 4

k =-2

2) When x = -4 then we can find y by plugging into that

y = kx

y = (-2)(-4)

y = 8

3) Hence, the answer is 8

Answer:

OC = 15cm

AB = 16cm

Ask me if you want step by step solution

x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Answer:

84.78

Step-by-step explanation:

Used calculator and formula

Answer:

Step-by-step explanation:

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.

Answer: Systematic Sampling

Step-by-step explanation: In the systematic sampling every nth person is taken from a population.

The teacher used sampling method that is the Systematic Sampling, The correct answer would be option (D) Systematic Sampling.

Sampling is defined as to draw valid conclusions from your results, you have to carefully decide how you will select a sample that is representative of the group as a whole.

The Systematic Sampling is defined as the Simple random sample and systematic sampling are comparable, but systematic sampling is generally a little simpler to carry out. Every person in the population is assigned a number, but instead of assigning numbers at random, people are picked at specified intervals.

For example, The company's workers are all listed in alphabetical order. If choose number 6 as your starting point at random from the first 10 digits. Every tenth individual on the list is chosen starting at number 6 (6, 16, 26, 36, and so on), creating a sample of 100 persons.

According to question,

Teacher is surveying her classes to see how she feels about an activity the class did the day before. Since she has such large classes, she surveys the first 10 students that walk into class.

In given problem having that every student in the population is assigned a number, but instead of assigning numbers at random, students are picked at specified intervals.

Hence, the teacher used sampling method that is the Systematic Sampling.

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\( \underline{ \boxed{ \sf{✰\: Option\:D. \:81✓ }}}\)

Refer to the attachment for solution ☘️

Hope it helps

For the parabola y = 2x² + 3x + 1,

a. i.  The x-intercepts are x = -1/2 and x = -1

a. ii. The y-intercept is y = 1

b. i. The line of symmetry is at x = -3/4

b. ii. The equation of the line of symmetry is x = -3/4

c.  The vertex is at (-3/4, -1/8)

A parabola is part of a conic section which is a curve.

Given the parabola y = 2x² + 3x + 1, we find the x- intercept when y = 0.

So, y = 2x² + 3x + 1

2x² + 3x + 1 = 0

2x² + 2x + x + 1 = 0

Factorizing, we have

2x(x + 1) + (x + 1) = 0

(2x + 1)(x + 1) = 0

2x + 1 = 0 or x + 1 = 0

2x = -1 or x = -1

x = -1/2 or x = -1

So, the x-intercepts are x = -1/2 and x = -1

Given the parabola y = 2x² + 3x + 1, we find the y- intercept when x = 0.

So, y = 2x² + 3x + 1

So, y = 2(0)² + 3(0) + 1

y = 0 + 0 + 1

y = 1

So, the y-intercept is y = 1

The line of symmetry passes through the vertex of the parabola where dy/dx = 0.

So, y = 2x² + 3x + 1

dy/dx = d(2x² + 3x + 1)/dx

= d(2x²)/dx + d3x/dx + d1/dx

= 4x + 3 + 0

= 4x + 3

So, when dy/dx = 0,we have

4x + 3 = 0

4x = -3

x = -3/4

So, the line of symmetry is at x = -3/4

The equation of the line of symmetry is x = -3/4

Since the vertex of the parabola is a t x = -3/4, substituting this into the equation, we have

y = 2x² + 3x + 1

y = 2(-3/4)² + 3(-3/4) + 1

y = 2(9/16) - 9/4 + 1

y = 9/8 - 9/4 + 1

y = (9 - 18 + 8)/8

y = (17 - 18)/8

y = -1/8

So, the vertex is at (-3/4, -1/8)

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Answer:

-20

Step-by-step explanation:say hes on 0  when  he moves back 4 hes on -4 when he moves back 4 ore hes on -8 move back 4 more -12 move back 4 more -16  then move back 4 more -20

10e^(-3t)u(t) is the output voltage v (t) out for t ≥ 0.

To find the output voltage v(t) out for t ≥ 0 when n1 = 2, n2 = 4, and v_in(t) = 5e^(-3t)u(t), please follow these steps:

1. Identify the given terms:
  n1 = 2 (input turns)
  n2 = 4 (output turns)
  v_in(t) = 5e^(-3t)u(t) (input voltage)

2. Recall the voltage transformation equation for transformers:
  v_out(t) = (n2/n1) * v_in(t)

3. Plug in the given values:
  v_out(t) = (4/2) * 5e^(-3t)u(t)

4. Simplify the expression:
  v_out(t) = 2 * 5e^(-3t)u(t)

5. Final expression for the output voltage v(t) out for t ≥ 0 is:
  v_out(t) = 10e^(-3t)u(t)

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The equation to represent the number of guests at your party is 150 + 6x = 282 where, the number of guests at the party, x is 22.

Let

Cost of renting a roller rink = $150

Cost per person = $6

Total charge of the party = $282

Number of persons at the birthday party = x

The equation:

150 + 6x = 282

subtract 150 from both sides

6x = 282 - 150

6x = 132

divide both sides by 6

x = 132/6

x = 22

Therefore, there are 22 guests at the birthday party.

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Answer:

\((x+4)^2+(y-8)^2=85\)

Step-by-step explanation:

The standard equation for a circle is given by:

\((x-h)^2+(y-k)^2=r^2\)

Where (h, k) is the center and r is the radius.

We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

\((x-(-4))^2+(y-8)^2=r^2\\\)

Simplify:

\((x+4)^2+(y-8)^2=r^2\)

Now, we will need to find r.

We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

\((-2+4)^2+(-1-8)^2=r^2\)

Evaluate:

\((2)^2+(-9)^2=r^2\)

Square:

\(4+81=r^2\)

Add:

\(r^2=85\)

So, r squared is 85.

We don’t actually have to solve for r itself, since we will have to square it anyways.

So, we have:

\((x+4)^2+(y-8)^2=r^2\)

Substituting 85 for r squared, we get:

\((x+4)^2+(y-8)^2=85\)

And we have our equation.

Step-by-step explanation:

b=books

3b\(\leq\)23

\(b\leq 23/3\)

\(b\leq 7.67\)

L=lesson

25L\(\leq\)150

L\(\leq\)6

Hope that helps :)

Answer: a)7, B)8

Step-by-step explanation:

Problem a) If Kai wants to buy just one poster that costs 2 dollars, he has 25-2=23 dollars left. If each book is 3 dollars, then he  can buy 23/3 books. The inequality that results is that if b=#ofbooks, then b< or = (25-2)/3, because you cant buy a book for 2 and a half dollars, hence the less than. 23/3 is 7 r2. We get that b< or = to 7 2/3. However, he can't buy 2/3 of a book, so 7. The final inequality we get is that 2+3b<=25

Problem 2) She spends 50 initially, so 200-50=150 dollars left. Thus the number of lessons, or n, cover the rest of the money. Using the same thory as above, the final inequality is 50+25n<=200. n=8.

Answer:

For Angles it is parallel angles on parallel lines are the same

Step-by-step explanation:

The angle of elevation from the stake up to the tent pole is, 54.55°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A 19 ft rope is tied from the top of a tent pole, It is the hypotenuse length.

Also, The state is 11 feet away and it is the adjacent length.

We know, cos = adjacent/hypotenuse.

cos = 11/19.

Ф = cos⁻¹(0.58).

Ф = 54.55°.

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Answer:

\(9x^{5}+30x^{4}-2x^{3}-108x^{2}-135x-50\)

Step-by-step explanation:

see below, if you have any questions leave a comment  

Answer: 6 gallons

Step-by-step explanation:

4/30  * 45  = 6

Answer:

Step-by-step explanation:

A)16

B)25

C)121

Answer:

(1.) 12

(2.) 20

(3.) 110

Step-by-step explanation: The first answer I'm going to use as an example. Because there is 4 people, one person who is shaking everybody's hands does not count. So we wouldn't count that person making the equation 4x3=12.

If we did add that person we would be basically saying that everyone is shaking their own hands as well as everybody else.

Because there is 4 people and even if you wrote this out on paper and put it out... like

1,2,3,4 showing the number of people and underneath it putting 3 and then adding it all up you would still get 12.