Evaluation 6ab when a = 1/2 and b = 7

Answer:

d ≈ 8.3

Step-by-step explanation:

This is kind of like the pythagorean theorem, but with one extra value.  Thus, \(d^2=l^2+w^2+h^2\).

Plug in the values to get:

\(d^2=2^2+7^2+4^2\\d^2=4+49+16\\d^2=69\\d=\sqrt{69} \\\)

Thus d ≈ 8.3

Answer:

The answer is c! 7,36,60,30

Step-by-step explanation:

To answer this equation you have   to find  a number that fits the description of what is required. It may seem difficult but it's not  first off it's trial and error  you have to find the right equation for every given number. For example,  what makes 15  equal 5  true? To make the equation true you have to do 15 divided by 3 equals 5  now we take the / 3 and apply them to all the other numbers  so 21 / 3 is  7 ,  36  divided by 3 is 12  hi, 60 / 3 is 20 ,  90 /3 is 30. If you have any other question like this all you have to do is trial and error with a number to make the equation true hopefully that helps! (B.t.w / symbol means divided by)

Answer:

Step-by-step explanation:

I believe its

(-2,-6)

Answer: -0.8

Step-by-step explanation:

3.2 - 4  = -0.8

Answer:

It would be the second answer, x=-3

Step-by-step explanation:

Exponents: 7-3= 4

3 to the power of 4 = 81

The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

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Answer:

Step-by-step explanation:

Answer:

Forty-two (42) of the trees were too small.

Step-by-step explanation:

Find 7/8 of 48.

\(\frac{7}{8}\) = 0.875

Multiply the quotient (0.875) by 48 to find \(\frac{7}{8}\) of 48.

0.875 × 48 = 42

Answer:

1244 DCD

Step-by-step explanation:

Answer:

Step-by-step explanation:

t=V100-50/4

t=V50/4=1.76≈1.8 s

when h=0

t=V100/4=10/4=2.5 s

Answer:  a) (5√2)/4 ≈ 1.77 seconds

               b) 5/2 = 2.5 seconds

Step-by-step explanation:

\(t=\dfrac{\sqrt{100-h}}{4}\\\\\\h=50\rightarrow t=\dfrac{\sqrt{100-50}}{4}\\\\\\.\qquad \qquad =\dfrac{\sqrt{50}}{4}\\\\\\.\qquad \qquad =\large\boxed{\dfrac{5\sqrt2}{4}}\\\\\\\\h=0\rightarrow t=\dfrac{\sqrt{100-0}}{4}\\\\\\.\qquad \qquad =\dfrac{\sqrt{100}}{4}\\\\\\.\qquad \qquad =\dfrac{{10}}{4}\\\\\\.\qquad \qquad =\large\boxed{\dfrac{5}{2}}\)

Answer:

c. you reject a null hypothesis that is true

Step-by-step explanation:

We need to remember the following concepts

Error type I: Is an error associated to the probability of reject a null  hypothesis when it is actually true

Error type II: Is an error associated of not rejecting a null  hypothesis when the alternative hypothesis is the true

And the best answer for this case would be:

c. you reject a null hypothesis that is true

Step-by-step explanation:

you should have to give more points for this answer

Answer:

X=-4 Y=4

Step-by-step explanation:

I don't fully know but I think its right

Answer:

x = 11

Step-by-step explanation:

9x + 25 = 13x - 19

add 19 to both sides

9x + 25 + 19 = 13x - 19 + 19

9x + 44 = 13x + 0

9x + 44 = 13x

subtract 9x from both sides

9x - 9x + 44 = 13x - 9x

0x + 44 = 4x

44 = 4x

divide both sides by 4

44 ÷ 4 = 4x ÷ 4

11 = 1x

11 = x

This is assuming the x variable in the first expression is the same value as the x variable in the second expression. More information is needed to solve for y (such as x = y or another expression using the same variable, y).

Answer:

\(- 6 {x}^{2} -2x + 20\)

\(( - 3x + 5)(2x + 4) \\ \\ = - 3x(2x + 4) + 5(2x + 4) \\ \\ = - 3x(2x) - 3x(4) + 5(2x) + 5(4) \\ \\ = - 6 {x}^{2} - { 12x} + {10x} + 20 \\ \\ = - 6 {x}^{2}-2x + 20\)

Solution:

To simplify this expression, multiply the terms together....

Hence, the simplified expression is -6x² - 2x + 20.

Hoped this helped!

The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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Therefore, it would take approximately 19.02 years for an investment to at least double its original amount at a semi-annual compound interest rate of 3.62%.

When an investment is made with a certain amount, the compound interest rate is used to calculate the return on investment. In addition, the number of times interest is compounded each year can have an impact on the investment's outcome.

This question asks about how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%.

To solve for how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%, we need to use the formula for the future value of an annuity:

Future value of an annuity = Payment (1 + r/n)^(nt)where:r is the annual interest raten is the number of times interest is compounded per year Payment is the original amount is the number of years

To solve for t, we can rearrange the formula as follows:t = log(Payment/Future value of an annuity) / log(1 + r/n)where log is the natural logarithm.

The future value of the investment is double the original amount, so we can plug in 2 for Future value of an annuity and simplify the formula to get:t = log(2) / log(1 + 0.0362/2)t = 19.02 years

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Answer:

Step-by-step explanation:

Given ∆PQR with angle bisector QS and sides QP=8 and QR=12, you want to know what percentage the area of ∆QRS is of the area of ∆PQR.

The formula for the area of a triangle is ...

  A = 1/2bh

where b is the base length and h is the height.

This means triangles of the same height will have areas that are proportional to the lengths of their bases.

An angle bisector divides the sides of the triangle proportionally. That means ...

  SR/QR = SP/QP

  SR = QR·SP/QP = 12·6/8

  SR = 9 . . . . units

The area of triangle PQR is ...

  A = 1/2bh = 1/2(PR)h = 1/2(6+9)h = (15/2)h

Similarly, the area of triangle QRS is ...

  A = 1/2bh = 1/2(RS)h = 1/2(9)h = (9/2)h

The ratio of the triangle areas is ...

  AQRS/APQR = ((9/2)h)/((15/2)h) = 9/15 = 3/5 = 60%

The area of triangle QRS is 60% of the area of triangle PQR.

__

Additional comment

Here, the problem requires you to work out the base lengths and area formulas for the two triangles. Knowing the angle bisector divides the bases in the same proportion as the sides, we can skip a lot of that and write down the desired percentage as ...

  12/(8+12) = 12/20 = 60/100 = 60%

Answer:

the original figure before a transformation has been performed.

Step-by-step explanation:

The pre-image is referred to as: D. the original figure before a transformation.

In transformation, pre-image is the term used to describe the original figure before a figure was translated, rotated, or dilated.

The new image formed after transformation is called the image, while the original image before transformation is called pre-image.

Therefore, the pre-image is referred to as: D. the original figure before a transformation.

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Answer:

With this P-value, we have statistical evidence to support the claim that there is a relationship between the average number of putts per hole and the player's total winnings.

Step-by-step explanation:

In this case, the hypothesis test has the following hypothesis:

Null hypothesis: there is no relationship between the average number of putts per hole and the player's total winnings.

Alternative hypothesis: there is relationship between the average number of putts per hole and the player's total winnings.

Then, a P-value of 0.0087 is, without doubt, a strong evidence that the null hypothesis is false.

With this P-value, we have statistical evidence to support the claim that there is a relationship between the average number of putts per hole and the player's total winnings.

Answer:

The median is 20

Step-by-step explanation:

They are already in order so you would just have to find the middle.......

Hope this helps.......if not then sorry for wasting your time and may God bless you

Answer:

Step-by-step explanation:

Use point (1, 3.5) on the graph

x = 1, y = 3.5

k = 3.5

Answer:

2.5

Step-by-step explanation:

\( \frac{u}{11} = \frac{3}{13} \\ \\ u = \frac{3 \times 11}{13} \\ \\ \\ \\ u = \frac{33}{13} \\ \\ u = 2.53846154 \\ \\ u \approx2.5\)

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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The missing term of the factorization equation is A = ( -15x - 1 ) ( x + 2 )

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -15x² - 31x - 2

On simplifying , we get

The expanded form of the expression ( -15x - 1 ) ( x + 2 ) can be calculated using the distributive property of multiplication over addition

So , on factorizing , we get

A = ( -15x - 1 ) ( x + 2 )

Hence , the factorized equation is A = ( -15x - 1 ) ( x + 2 )

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The complete question is attached below :

Fill in the missing terms to complete the factorization. 15x² + x - 2 = (? -1) (? + 2)

a- 3x, 5x

b- x, 15x

c- 5x, 3x

d- 15x, x

The surface area of a rectangular prism is 48 5/6 mi².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]

Surface area of rectangular prism = 2[14 + 15/2 + 35/12]

Surface area of rectangular prism = 48 5/6 mi².

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The surface areas of the figures are 336, 82 and 836

From the question, we have the following parameters that can be used in our computation:

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

Answer:

You need to provide an image or some sort of attachment, since there is no context to this question or any data one could answer off of.

Step-by-step explanation:

^