Find the lateral surface area. Bases are isosceles triangles.




29 110 56

Answer:

t = 60

Step-by-step explanation:

Using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\) , then

\((j^{-12}) ^{-5}\)

= \(j^{(-12(-5))}\)

= \(j^{60}\)

Then t = 60

The given function defines an inner product for polynomials p(x) and q(x) if it satisfies the following properties: (A) Linearity in the first argument, (B) Symmetry, (C) Linearity in the second argument, and (D) Positive definiteness.

:

A. Linearity in the first argument is satisfied as p, q = a0b0 + a1b1 + ... + anbn in Pn.
B. Symmetry is satisfied as p, q = q, p.
C. Linearity in the second argument is satisfied as p, q + w = p, q + p, w.
D. Positive definiteness is partially satisfied as p, p ≥ 0. However, p, p = 0 if and only if p = 0 is not explicitly stated in the given options.

Based on the provided information, the function satisfies properties A, B, and C, but it is unclear if it fully satisfies property D (positive definiteness). More information is needed to determine if the function defines an inner product for polynomials p(x) and q(x).

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15.1 cm

Explantion

Step 1

to solve this we can use the distance between 2 points formula, it is

Step 1

Let

now, replace in the formula

therefore, the answer is

15.1 cm

I hope this helps you

The formula for dy/dx is the derivative of y with respect to x. It represents the rate of change of y with respect to x.

In calculus, the derivative of a function with respect to a variable x is a measure of how much the function changes as the variable x changes. The notation for the derivative of a function y with respect to x is dy/dx, read as "delta y over delta x". This notation is called a "derivative" and it represents the rate of change of the function y with respect to x.

The derivative of a function can be calculated using the limit definition of the derivative or with the use of different rules such as power rule, product rule, quotient rule, chain rule, and more. The derivative can also be represented graphically as the slope of a tangent line to the function's graph.

Derivatives are widely used in mathematics, physics, engineering, and other sciences to model various phenomena.

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Answer:

69

Step-by-step explanation:

Carpentry frequently employs 3-4-5 triangles to verify that angles are 90°

What is the 3-4-5 triangle rule?

The 3-4-5 triangle rule states that you must multiply 3, 4, and 5 by the same amount in order to accomplish this.

The theorem demonstrates the effectiveness of the 3-4-5 approach and the fact that multiplying the 3-4-5 triangle, as opposed to using the formula to determine the length, will yield the missing side.

A ratio can be conceived of as the lengths 3, 4, and 5. To obtain triangles with varying lengths but the same proportion, this ratio can be scaled.

A real life example of the 3-4-5 triangle rule is carpentry, where it is frequently employed to verify that angles are 90°.

Hence, carpentry employs 3-4-5 Triangles in Real Life.

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The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio

The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio. A ratio is a comparison of two numbers or measurements, and it can be written in different ways.

For example, if we have two quantities A and B, the ratio of A to B can be written as

A/B

A:B

"A is to B"

The ratio of A to B tells us how many times A is contained within B, or how many units of A we would need to have to match the amount of B.

Ratios are useful in many fields, such as finance, engineering, and science, where they are used to compare and analyze different quantities and their relationships.

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Answer: b > 13

Step-by-step explanation: b= 14 and 14 is larger than 13. So using the greater than symbol is correct.

Answer:

b > 13

Step-by-step explanation:

Because, if you recall seeing that b = 14 above the question, then you would say that b is greater than 13 because b = 14.

A statistician would reply that in order to determine if the generic drug is less effective than the name-brand drug, a hypothesis test needs to be conducted.

The null hypothesis (H0) would be that there is no difference in the average blood pressure reduction between the two drugs, while the alternative hypothesis (H1) would be that the name-brand drug has a higher average reduction in blood pressure than the generic drug.

To test these hypotheses, a t-test would be appropriate since we have two independent samples (control and treatment groups) with known means, standard deviations, and sample sizes. The t-test will provide a p-value, which can be compared to a chosen significance level (e.g., α = 0.05).

If the p-value is less than the significance level, we reject the null hypothesis and conclude that there is a significant difference in the average blood pressure reduction between the two drugs. If the p-value is greater than the significance level, we fail to reject the null hypothesis, meaning we do not have enough evidence to claim that the name-brand drug is more effective than the generic drug.

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Answer:

x=30 cm

y=24 cm

Step-by-step explanation:

y=24 cm

x=√(24²+18²)=√[6²(4²+3²)]=6√(16+9)=6√25=6×5=30 cm

Answer:

Step-by-step explanation:

P is the exterior point to the circle with centre O

Radius = 5cm

Length of the tangent = 12 cm

Distance between the point and centre of the circle = x cm

We know that

The angle between the radius of the circle and the tangent at the point of contact is 90°

By Pythagoras Theorem

Hypotenuse² = Side²+Side²

⇛OP² = OT1² +PT1²

⇛x² = 24²+18²

⇛x² = 576+324

⇛x² = 900

⇛x² = 30²

⇛x = √(30)²

⇛x = √(30*30)

We know that

The lengths of tangents drawn from the exterior point to the circle are equal.

PT1 = PT2

Answer: Hence, the value of x=30cm and y = 18cm.

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Answer:

Step-by-step explanation:

area circle = πr²   or  π(d/2)²  but how to find the diameter?

The only angles I can see to calculate is in the small right triangle

The smaller angle on the right is ...

        sin Ф = opp/hyp = 6/10    Ф = 36.87°

This angle is the same as the small angle on the LARGE right triangle

So now I want to calculate the side (diameter) opposite the smaller angle

      sin Ф = opp/hyp = diameter/300 = sin 36.87°    

                  diameter = 300 sin 36.87°

                                  = 300 (6/10)

                                  = 180 ft

area circle = πr²   or  π(d/2)²

area circle =  π(180/2)²

area circle = 25446 ft²  which is close to answer A  25434 ft²

There is actual no need to find the sin Ф wasted step      

just use 6/10  small triangle     is similar to diameter/300   the large triangle

  opp / hyp small  6/10  = diameter/300    diameter = 180

  area circle =  π(180/2)²  = 25446

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

Saldo bancario= $1,192

Step-by-step explanation:

Dado la siguiente información:

Saldo del banco= -$2,376.5

Depósito= $3,568.5

Ella tenía una cuenta en negativo. El depósito le ayuda a cubrir el sado y pasar a tener un saldo positivo. Ahora calculamos cuánto le queda en la cuenta.

Saldo bancario= -2,376.5 + 3,568.5

Saldo bancario= $1,192

For the multisets {3 · a, 2 · b, 1 · c} and {2 · a, 3 · b, 4 · d} the solutions are  A ∪ B is {3 · a, 2 · b, 1 · c, 2 · a, 3 · b, 4 · d},A ∩ B is {2 · a, 2 · b},A − B is {1 · a, 0 · b, 1 · c} ,B − A is {0 · a, 1 · b, 4 · d} and A + B is {5 · a, 5 · b, 1 · c, 4 · d}.

We will use the given multisets A and B:

A = {3 · a, 2 · b, 1 · c}
B = {2 · a, 3 · b, 4 · d}

a) A ∪ B (union): This operation combines all elements of both multisets.
A ∪ B = {3 · a, 2 · b, 1 · c, 2 · a, 3 · b, 4 · d}

b) A ∩ B (intersection): This operation finds the common elements between both multisets.
A ∩ B = {2 · a, 2 · b} (as a and b are the common elements)

c) A − B (difference): This operation removes elements in B from A.
A − B = {1 · a, 0 · b, 1 · c}

d) B − A (difference): This operation removes elements in A from B.
B − A = {0 · a, 1 · b, 4 · d}

e) A + B (sum): This operation adds the counts of the elements in both multisets.
A + B = {5 · a, 5 · b, 1 · c, 4 · d}

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There exists a relationship between age and healthcare costs and the question do not consist a specific context, hence the correct answer is option C.

As per their views, the given relationship is proved because of redundant reliance oncross-sectional data. As per their views, health care charges generally rise to a larger extent when a person is near to death and utmost of us die when we're aged. The exploration findings could be bettered by considering the changes in mortality rate over time because of other environmental factors similar as air pollution, among others as control variables. colorful other variables affecting the health of an aged person could be considered for better exploration outgrowth which isn't included in the present study because of the deficit of data. still, the present exploration findings would clearly serve effective policy instrument aiming at maximizing health earnings that are largely associated with the senior population and profitable growth towards achieving sustainable development.

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To find the missing value we can us the sine function:

in this case the missing value x is the hypotenuse, the opposite leg is 35 and the angle is 45°, then we have:

Then we have that x=42.4

The integers are 14 and 16.

Let the integers be represented by x and x+2.

It was stated that the consecutive even integers such that 6 times the smaller integer is 36 more than 3 times the larger integer.

This will be:

6(x) = 3(x + 2) + 36

6x = 3x + 6 + 36

6x = 3x + 42

6x - 3x = 32

3x = 42

Divide

3x/3 = 42/3

x = 14.

The larger number will be:

= x + 2

= 14 + 2

= 16

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Step-by-step explanation:

\( \frac{642}{3} \\ \)

Answer:

\(214\)

Step-by-step explanation:

\( = 642 \div 3 \\ = 214\)

If the distribution is skewed to the right, then mean > median

This is where the tail is pulled to the right due to large outliers. Those outliers pull on the mean.

The number of ways to arrange all six tables is given as follows:

720 ways.

The number of ways to have four of the tables is given as follows:

360 ways.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

To arrange the six tables, the number of ways is given as follows:

N = 6 x 5 x 4 x 3 x 2 x 1 = 720 ways.

To choose four tables, the number of ways is given as follows:

N = 6 x 5 x 4 x 3 = 360 ways.

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Answer: 35%

Step-by-step explanation:

The probability that both balls are red is, 4/11

Given that;

Two bowls contain blue balls and red balls.

And, The first bowl contains 9 blue balls and 9 red balls and the second bowl contains 8 red balls and 3 blue balls.

Here, A ball is drawn at random from each bowl.

Hence, We get;

The probability to get red ball from first bowl is,

⇒ 9 / 18

⇒ 1 / 2

And, The probability to get red ball from second bowl is,

⇒ 8 / 11

Thus, the probability that both balls are red is,

⇒ 1/2 × 8/11

⇒ 4/11

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Answer:

I would think it is A and D or 2 and 5

Step-by-step explanation:

sorry if i am wrong

Answer:

y - 2 = -1/3 (x + 3)

Step-by-step explanation

Sorry!

 Point-slope form )

Slope = (-1 -2)/(6 - (-3)

Slope = -3/9

Slope = -1/3

 Using the point-slope formula and point (-3, 2)

y - 2 = -1/3(x - (-3)

y - 2 = -1/3 (x + 3)  This is = to y = -1/3(x + 3) +2

the answer would be C

Step-by-step explanation:

seeing the graph u can see that it moving 2 right and 1 up

The slope of given line from the graph is 2. Therefore, option D is the correct answer.

In the graph, it is given that x-axis represents time (min) and y-axis represents volume(gal).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = Rise/Run

From the graph, the slope is

Slope (m)= 6/3

= 2

The slope of given line from the graph is 2. Therefore, option D is the correct answer.

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Answer:

25/7 acres or 3 4/7 acres

Step-by-step explanation:

The sold 2/7 of the land.

1 - 2/7 = 7/7 - 2/7 = 5/7

They have 5/7 of the land left.

5/7 of 5 acres = 5/7 × 5 acres = 25/7 acres = 3 4/7 acres

Answer:

-103

Step-by-step explanation:

Just subtract

Answer:

-103

Step-by-step explanation:

You add all the numbers then put the negative sign.

Answer:

x = 9

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*x-(45)=0

 Pull out like factors :

  5x - 45  =   5 • (x - 9)

Solve :    5   =  0

This equation has no solution.

A  non-zero constant never equals zero.

Solve  :    x-9 = 0  

Add  9  to both sides of the equation :  

                     x = 9

Dunno and I’m not sure very much      

Answer:

15

Step-by-step explanation:

b : g : total

3 : 4 : 7

7u-> 35

1u->5

3u-> 15

The value of x = 17°

From trigonometry and geometry of angles and lines, the sum of angles on a straight line is equal to 180°.

From the given figure, the angles are all lying on a straight line at the same point, hence their sum is 180°.

The three angles are:

    • (2x + 3)°

    • a right angle = 90°

    • (3x + 2)°

Sum the three angles together and equate the sum to 180° to give the following equation:

(2x + 3) + 90 + (3x + 2) = 180

Solve for x,

(2x + 3) + 90 + (3x + 2) = 180

5x + 3 + 2 + 90 = 180

5x + 95 = 180

5x = 180 - 95

5x = 85

x = 85/5

x = 17°

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