Please help me out with the questions!

Answer:

D) 4,6,7

Step-by-step explanation:

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Answer: D. (4, 6, 7).

Step-by-step explanation: If you plug the numbers into the pythagorean formula, you will see answer D is the correct answer.

Answer:

1 : 3

Step-by-step explanation:

¼ of the biscuits are chocolate while the rest are plain.

Since a fraction is a part of a whole, 1, then it means that the fraction that are plain is:

1 - ¼ = ¾

Therefore, the ratio of chocolate biscuits to plain biscuits is:

¼ : ¾

To put this in simplest dorm, multiply both sides by 4, we have:

1 : 3

This is the ratio of chocolate biscuits to plain biscuits.

The ratio of the numbers of the chocolate biscuits to plain biscuits to its simplest form is \(\mathbf{1:3}\)

In probability, we know that the sum of all the outcomes is usually equal to one.

Given that:

The number of biscuits that are chocolate on the plate is = 1/4

The rest of the biscuits that are plain will be = 1 - 1/4

\(= \mathbf{\dfrac{3}{4}}\)

Now, the ratio of the numbers of the chocolate biscuits to plain biscuits to its simplest form is:

\(\mathbf{\dfrac{1}{4}:\dfrac{3}{4}}\)

\(\mathbf{\dfrac{1}{4} \times \dfrac{4}{3}}\)

= 1 : 3

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Answer:

15

Step-by-step explanation:

Using Geometric Mean Theorem, In the given triangle, The length of altitude is 12.

The geometric mean theorem states that in a right triangle, the length of the altitude from the right angle to the hypotenuse is the geometric mean of the lengths of the two segments of the hypotenuse

In other words, the square of the length of the altitude from the right angle to the hypotenuse is equal to the product of the lengths of the two segments of the hypotenuse. And the length of the altitude itself is equal to the square root of this product.

Now,

As we know

using Geometric Mean Theorem,

hypotenuse=18+8=26

let base=a

then   26/a=a/8

a²=208

Now, using Pythagoras theorem

8²+(x+9)²=a²

(x+9)²=208-64

x+9=√144

x+9=12

Hence, The length of altitude is 12.

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Answer:

C 16.25 is the answer that you need

Step-by-step explanation:

25 x .65

Answer:

so you wold do I=t×r×A ok so I=6,500 t=5 r=4.3 and u have to find A so you wolf multiple 5×4.3=21.5 and than you wold divide 6500÷21.5=302.3255813953488×21.5= 6500 so A=302.3255813953488

Step-by-step explanation:

To find the percentage increase, we use the following formula:

percentage increase = (new value - old value) / old value * 100%

In this case, the old value is 25 and the new value is 86. So, we can plug these values into the formula:

percentage increase = (86 - 25) / 25 * 100% = 244%

Therefore, the percentage increase from 25 to 86 is approximately 244%.

Answer:

244% increase

Step-by-step explanation:

The method of periodization that an athlete performs is  traditional periodization method.

Given,

An athlete perform five sets of five repetitions at 90% of 1rm on the first day of the week, five sets of fourteen repetitions at 85% of 1rm on the next training day, and five sets of two repetitions at 62.5%of 1rm on the last training day of the week;

Here,

The example above, where the percentage of one-repetition maximum (1RM) decreases as the training day progresses, is essentially a traditional periodization method.

As a result, during the course of the training cycle, the athletes' completed work gradually grows. As a result, as the load increases over time, there is a corresponding decrease in volume.

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True, the Greek letter used to represent the probability of a Type I error is alpha ().

The Greek letter alpha (α) is indeed used in statistics, but it represents the level of significance chosen for a statistical test. The level of significance is the probability of rejecting the null hypothesis when it is actually true. The probability of making a Type I error (rejecting the null hypothesis when it is true) is equal to the level of significance (α) chosen for the test.

Therefore, alpha is not used to represent the probability of a Type I error directly, but it is related to it. The probability of a Type I error depends on the chosen level of significance and the specific hypothesis test being conducted.

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True. The Greek letter used to represent the probability of a Type I error is alpha

This is a statement and not a question. However, if you are asking whether the statement "the Greek letter used to represent the probability of a type i error is alpha (α)" is true or false, the answer is that it is partially true. While the Greek letter α is commonly used to represent the significance level (or the probability of a Type I error) in hypothesis testing, it is not the only letter that can be used.

Other letters such as β and γ may also be used in certain contexts. So the complete answer would be a long answer that explains the partial truth of the statement.

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The expression 8(x+4) is a product between 8 and (x+4), which is a number (8) and a sum.

Then, it correspond to Option B: The product of a number and a sum.

The area of each parallelogram or triangle is 24 cm²,22.5 cm², 98 ft²,48 cm², 90 m², and  30 in² respectively.

In this skills practice problem, we are asked to find the perimeter and area of each parallelogram or triangle, based on their given dimensions. Let's start by defining the formulas for calculating the perimeter and area of each shape:

Perimeter of a parallelogram = 2 x (length + width)

Area of a parallelogram = base x height

Perimeter of a triangle = sum of the lengths of its sides

Area of a triangle = 1/2 x base x height

Now, let's apply these formulas to each shape:

Parallelogram with length 6 cm and width 4 cm:

Perimeter = 2 x (6 + 4) = 20 cm

Area = 6 x 4 = 24 cm²

Triangle with base 9 cm and height 5 cm:

Perimeter = 9 + 8 + 7 = 24 cm

Area = 1/2 x 9 x 5 = 22.5 cm²

Parallelogram with length 14 ft and width 7 ft:

Perimeter = 2 x (14 + 7) = 42 ft

Area = 14 x 7 = 98 ft²

Triangle with base 12 cm and height 8 cm:

Perimeter = 12 + 8 + 10 = 30 cm

Area = 1/2 x 12 x 8 = 48 cm²

Parallelogram with length 18 m and width 5 m:

Perimeter = 2 x (18 + 5) = 46 m

Area = 18 x 5 = 90 m²

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#SPJ11Triangle with base 6 in and height 10 in:

Perimeter = 6 + 8 + 10 = 24 in

Area = 1/2 x 6 x 10 = 30 in²

Therefore, we have calculated the perimeter and area of each given parallelogram or triangle.

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Answer:

52 pi centimeters cubed

Step-by-step explanation:

volume of a cylinder = πr^2h

Volume of a cone 1/3(πr^2h)

π = 22/7

r = radius  

The volume of a cone is one-third that of a cylinder

volume of cone = 156/3 = 52

Answer:

x = 2.7

Step-by-step explanation:

5.4 = 2x

2x = 5.4

Divide both sides by 2.

x = 2.7

Answer: x= 2.7

1. Divide 2 on both sides

2. cancel terms who have the same numerator and denominator

Answer:

2nd option

Step-by-step explanation:

A difference of squares has the general form

a² - b²

where the terms on either side of the subtraction ( the difference ) are both perfect squares.

The only one fitting this description is

16a² - 4y²

= (4a)² - (2y)² ← difference of squares

The question is incomplete. The complete question is :

Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle ......

Solution :

A triangle is defined as a close figure with three sides. It is polygon having three angles. If one of the angle is a right angle, then that triangle is known as a right angled triangle.

By Pythagoras theorem, the line opposite to the right angle is called as hypotenuse and it is the longest side in a right angled triangle.

Let a and b be the other sides and let c be the hypotenuse.

So by Pythagoras theorem, we get that \($c^2=a^2+b^2 $\)

From the question, a = 3 cm

                               b = 4 cm

                                c = 5 cm

Therefore,

\($5^2=3^2+4^2$\)

25 = 9 + 16

25 = 25

Thus the triangle is a right angled triangle.

Answer:

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Step-by-step explanation:

A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer:

17.5

Step-by-step explanation:

10 x 16=160. The sum of the numbers is 160.

7 + 13 = 20.

160-20=140.

Now, divide by 8.

17.5

:D

Answer:

Avoid histograms with small bin widths that group data into lots of bins. A histogram constructed with small bin widths will show the distribution as a “pancake.” so no it does not help us see the pattern in the data.

Step-by-step explanation:

Answer:

Walmart

Step-by-step explanation:

675.99 Walmart and Bestbuy

Walmart is doing 25% off all TV

Bestbuy is doing $50 off all TV

675.99 x 0.25

You save = $169.00

Answer:

3rd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{3}{5}\) x - 2 ← is in slope- intercept form

with slope m = \(\frac{3}{5}\)

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and ( a, b ) a point on the line

Here (a, b ) = (1, 1 ) and m = \(\frac{3}{5}\) , then

y - 1 = \(\frac{3}{5}\) (x - 1)

the point P_0(2,1,2) lies on the tangent plane, we can use it to find the equation of the normal line:

x - 2 = 2

We start by finding the characteristic equation:

r^2 + 4r + 3 = 0

Solving for r, we get:

r = -1 or r = -3

So the complementary solution is:

y_c(t) = c_1 e^{-t} + c_2 e^{-3t}

Next, we need to find the transfer function H(s):

s^2 Y(s) - s y(0) - y'(0) + 4s Y(s) - 4y(0) + 3Y(s) = 1/s + 1/(s-1)

Applying the initial conditions y(0) = 0 and y'(0) = 1, we get:

(s^2 + 4s + 3) Y(s) = 1/s + 1/(s-1) + 4

Y(s) = [1/(s+1) + 1/(s+3) + 4/(s^2 + 4s + 3)] / (s^2 + 4s + 3)

We can factor the denominator of the second term in the numerator:

Y(s) = [1/(s+1) + 1/(s+3) + 4/((s+1)(s+3))] / [(s+1)(s+3)]

Using partial fraction decomposition, we get:

Y(s) = [2/(s+1) - 1/(s+3) + 1/((s+1)(s+3))] / (s+1) + [-1/(s+1) + 2/(s+3) - 1/((s+1)(s+3))] / (s+3)

Taking the inverse Laplace transform, we get:

y(t) = 2e^{-t} - e^{-3t} + (1/2)(1 - e^{-t}) - (1/2)(1 - e^{-3t})

So the general solution is:

y(t) = y_c(t) + y_p(t) = c_1 e^{-t} + c_2 e^{-3t} + 2e^{-t} - e^{-3t} + (1/2)(1 - e^{-t}) - (1/2)(1 - e^{-3t})

To find a particular solution, we need to solve for the unknown coefficients. Using the initial conditions y(0) = 1 and y'(0) = 0, we get:

c_1 + c_2 + 3/2 = 1

-c_1 - 3c_2 - 1/2 = 0

Solving this system of equations, we get:

c_1 = -2/5

c_2 = 9/10

So the particular solution is:

y_p(t) = (-2/5) e^{-t} + (9/10) e^{-3t} + (1/2)(1 - e^{-t}) - (1/2)(1 - e^{-3t})

Finally, the tangent plane at P_0(2,1,2) is given by the equation:

2x + 4y + 3z = 24

which corresponds to option (B) in the given choices.

To find the normal line, we first need to find the normal vector to the tangent plane, which is simply:

n = <2, 4, 3>

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Answer:

There is no mode for the following data.

Step-by-step explanation:

This is because the mode is the  value which occurs most frequently in a data set. yet there is not a piece of data that appears the most frequently.  

The mode of this data set is the Independents.

The mode is a statistical term that refers to the value that appears most frequently in a data set. In this case, you have provided data on the number of Republicans, Democrats, and Independents. There are 47 Republicans, 49 Democrats, and 52 Independents.

To determine the mode, we simply look for the highest count among the three groups. In this case, we can see that the group with the highest count is the Independents with a count of 52.

Therefore, the mode of this data set is the Independents. This tells us that Independents are the most frequent group in this particular data set. Remember, the mode is just one way to describe the central tendency of data and should be considered alongside other measures like the mean and median for a more comprehensive understanding of the data distribution.

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Answer:

1.03

Step-by-step explanation:

2015.71 = 1900(b)^2

44.896659 = 43.588989 * b

44.896659/ 43.588989 = b

1.0300000 = b

Recall ; for an exponential distribution :

b In the equation = 1 + r ; where, r = rate

b = 1 + r

1.0300000 = 1 + r

r = 1.0300000 - 1

r = 0.03

Hence, the value of b in the equation is 1.03

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Answer: x=3

Step-by-step explanation:

3x + 5 = 14

Subtract 5 from both sides

3x=9

Divide both sides by 3 to get x alone

x=3

Answer:

3

Step-by-step explanation:

3x=14-5

3x=9

x=3

Given:

The system of equations is

\(5g+4k=10\)

\(-3g-5k=7\)

To find:

The solution of given system of equations.

Solution:

We have,

\(5g+4k=10\)        ...(i)

\(-3g-5k=7\)         ..(ii)

Multiply (i) by 5 and (ii) by 4.

\(25g+20k=50\)        ...(iii)

\(-12g-20k=28\)         ..(iv)

Adding (iii) and (iv), we get

\(25g-12g=50+28\)

\(13g=78\)

Divide both sides by 13.

\(g=\dfrac{78}{13}\)

\(g=6\)

Put g=6 in (i).

\(5(6)+4k=10\)

\(30+4k=10\)

\(4k=10-30\)

\(4k=-20\)

Divide both sides by 4.

\(k=-5\)

So, the solution of the system of equation is (6,-5).

Therefore, the correct option is A.