can somebody please help me with this question

Answer:

2.0833

Step-by-step explanation:

2 3/4 + 3 1/2 =6.25

6.25(1/3)=2.0833

Given :

1)

Set t=1 we get

Answer: Yes

Step-by-step explanation:

Yes, the numbers in the table are a function. The equation for the equation would be

y = 2x

Answer:

so in the second step you see how the 18 is a positive

its supposed to be a negative

in the step 1, the part is -(-6)(-3), right?

so the negative symbol outside the negative 6 cancels out the negative, making it a positive number

it becomes 6(-3), which them multiplies into -18

so, i think the explanation is "the person forgot to change the 18 to a negative in the second step"
yea lol i think thats it

we know that

a greater conveyor belt moves 100 pounds ------------> 5 minutes

so

Applying proportion

1-minute ---------> move 100/5=20 pounds

a smaller conveyor belt moves 100 pounds ------> 9 minutes

so

Applying proportion

1-minute --------> move 100/9 pounds

therefore

If both belts are used

then

1-minute --------> move 20+(100/9)=(180+100)/9=280/9 pounds

Applying proportion

Find out how long it takes to move 100 pounds

Simplify the fraction

45/14

Convert to a mixed number

45/14=42/14+3/14=3 3/14 minutes

Answer:

122

Step-by-step explanation:

43 * (100/25) - 50

43 * 4 - 50

172 - 50

122

Hope this helps! :)

Answer:

Step-by-step explanation:

The trigonometric functions are represented by the following function form:

Then, for the following function:

Since it is an arctan function reflected the y-axis:

A rectangular garden has one side with a length of x + 7 another with a length 2x + 3

We are asked to find the perimeter of the garden

Let me draw this rectangular garden to better understand the problem

Recall that the perimeter of a rectangular shape is given by

Where W is the width and L is the length of the rectangular garden

Let us substitute the given values into the above formula

Now simplify the equation

Therefore, the perimeter of the rectangular garden is equal to 6x + 20.

The graph that can be used to model the correct amount on the Richter scale is r = log(a/4) + 2.

It should be noted that the magnitude of an earthquake is gotten by using the equation:

r = log(a / t) + d.

where

r = magnitude of an earthquake

a = amplitude

t = time

d = distance.

In this case, the earthquake occurred for 4 seconds and D = 2. We'll substitute the value into the equation and this will be r = log(a/4) + 2.

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The degree 3 polynomial is "x³-2x²-64x+128".

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ok

AC = 7

AD = 6

BC = 18

It must be 12, because the sum of two sides of a triangle is higher than the other side.

And 6 + 5 = 11

AB + AC = 11 + 7 = 18

The red triangle is the original figure

The green triangle is the image

Scale factor is 4

Step-by-step explanation:

it is then simply scanned (multiplied).

the new point is

(-8 × 1/4, 0 × 1/4) = (-2, 0)

Answer:

1/200

Explanation:

Length of the garage in the drawing = 4 centimeters

Length of the garage in real life = 8 meters

The ratio of the lengths = 4 cm : 8m

Divide both sides by 4

1 m =100cm

2m= 2 x 100 =200cm

Converting both to the same unit, we have:

The drawing's scale factor in fraction form is 1/200.

6x - 3y = -30 -------------------------------(1)

3x - 6y = 12 ---------------------------------(2)

Multiply through equation(1) by 3 and then multiply through equation (2) by 6

18x - 9y = - 90 ---------------------------------(3)

18x - 36y = 72 ----------------------------------(4)

subtract equation (4) from equation (3)

The x–intercept of g(h(x)) is the option;

[tex] \displaystyle {-\frac{2}{3}}[/tex]

The x–intercept of a function is given by the point where the function intersects the x–axis.

From the given table, the slope of the graph of g(x), [tex] m_1 [/tex] is given by the equation;

[tex] \displaystyle{ m_1 = \frac{ - 4 - ( - 8)}{ - 4 - ( - 6))} = \frac{4}{2} = 2}[/tex]

The equation of g(x) in point slope form is therefore;

g(x) - (-4) = 2×(x - (-4)) = 2•x + 8

g(x) = 2•x + 8 - 4 = 2•x + 4

g(x) = 2•x + 4

The slope of the function h(x), [tex] m_2 [/tex] is found using the equation;

[tex] \displaystyle{ m_2 = \frac{ 8 - 14}{ - 4 - ( - 6))} = \frac{ - 6}{2} = - 3}[/tex]

h(x) presented in point and slope form is therefore;

h(x) - 8 = (-3)×(x - (-4)) = -3•x - 12

h(x) = -3•x - 12 + 8 = -3•x - 4

h(x) = -3•x - 4

g(h(x)) = 2•h(x) + 4

Plugging in the value of h(x) gives,;

g(h(x)) = 2×(-3•x - 4) + 4 = -6•x - 8 + 4

g(h(x)) = -6•x - 4

The x–intercept of g(h(x)) is given by the point where g(h(x)) = 0, which gives;

At the x–intercept, g(h(x)) = 0 = -6•x - 4

[tex] \displaystyle{ x = \frac{4}{-6} = -\frac{ 2}{3} }[/tex]

The x–intercept is [tex] \displaystyle{ -\frac{ 2}{3} }[/tex]

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First, from the formula given we solve the equation for D:

Now, substituting the given data:

(a) PD=405 cu in, L=4.7 in, and N=7,

in the above equation we get:

(b) PD=399.4 cu in, L=2 in, and N=6,

in the above equation we get:

Answer:

(a) 3.96 in.

(b) 6.51 in.

we have that

In this problem angle x and angle of 62 degrees are supplementary angles

that means

x+62=180

solve for x

x=180-62

it is given that the expression is -7.5

the magnitude of -7.5 is,

I-7.5I = 7.5

thus, the answer is option A

The circumference of the circle has a value of 18.86 units

From the question, we have the following parameters:

Radius, r = 3 units

The circumference of the circle can be calculated using the following circumference formula

C = 2πr

Where

π = 22/7 (a constant)

r = 3

Substitute the known values in the above equation

So, we have the following equation

C = 2 * 22/7 * 3

Evaluate the products

So, we have the following equation

C = 18.86

Hence, the circumference is 18.86 units

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The presented data for x and y show a significant, positive correlation with 0.78 serving as the coefficient of correlation.

The intensity and direction of a relationship between two variables are indicated by a correlation coefficient, which is a number between -1 and 1. In other words, it shows how comparable two or more variables' measurements are across a dataset. The other variables shift in the same direction when one changes.

The intensity and direction of a relationship between two variables are indicated by a correlation coefficient, which is a number between -1 and 1. In other words, it shows how comparable two or more variables' measurements are across a dataset.

Given x and y values in this case

x     1     2    3     4     5     6

y     3    4    9     7     2     18

xy   3    8   27  28   10   108

x²    1    4    9    16   25    36

y²    9  16  81    49     4   324

∑x = 21,  

∑y = 43,  

∑xy = 194,

∑x² = 91,

∑y² = 483,

n = 6

the relationship between x and y now:

r = (n∑xy - ∑x.∑y)/ √[{n∑x²- (∑x)²}{n∑y² - (∑y)²}]

r = ( 6 X 194 - 21 X 43 ) / √[ {6 X 91 - (21)²}{ 6 X 483 - (43)²}]

r = ( 1164 - 903) / √( 546 - 441)(2898 - 1849)

r = 261 / √ 105 X 1049

r = 261 / √110145

r = 261 / 331.88

r = 0.78

As a result, the x and y data's correlation coefficient is 0.78.

The strong, positive association between x and y

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Answer: 0.64 ...........

From the calculations below, we can tell that quadrilateral ABCD is not a rectangle because AB is not parallel to CD

We are given that the quadrilateral is ABCD with the vertices as;

A(-6,-2)

B(-4,4)

C(8,1)

D(6,-6)

We are further told that Angle A is a right angle. Thus;

AB must be perpendicular to AD.

Secondly, for ABCD to be a rectangle, AB must be parallel to CD. Thus;

By slope formula, for AB and CD are gotten from the formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope of CD = (-6 - 1)/(6 - 8)

Slope of CD = -7/-2 = 7/2

Slope of AB = (4 - (-2))/(-4 - (-6))

Slope of AB = 6/2

Slope of AB = 3

Since Slope of AB and AC are not equal then ABCD is not a rectangle.

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Solution

Part A: The area of the dark shaded region = S1,

where

The radius of the circle is 3 inches.

Part B: The area of the light shaded region = S,

The probability that it is not yellow candies will be 119/139.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

A bag contains;

Number of red candies = 42

Number of green candies = 45

Number of yellow candies = 20

Number of purple candies = 32

Now,

Total number of candies in a bag = 42 + 45 + 20 + 32

                                                   = 139

And, The number of candies in a bag not contain yellow candy

= 139 - 20

= 119

Thus, The probability that it is not yellow candies will be;

Probability = Number of not yellow candies / Total candies

                = 109 / 139

Therefore, The probability that it is not yellow candies will be 119/139.

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The surface area of a hemisphere is given as 12.5 square feet. It is required to find the volume of the hemisphere.

To do this, equate the given surface area to the formula, find the radius, and then substitute the radius into the volume formula to find the volume.

The surface area of a hemisphere radius, r is given as:

Substitute S=12.5 into the formula and solve for r in the resulting equation:

The volume of a hemisphere is given as:

Substitute the calculated value of r into the volume formula:

The required volume is about 3.2 square feet.

Solution:

The cuboid is a solid-shaped figure formed by six faces. A cuboid is a simple figure. It has three dimensions - width, length, and height. Thus, the cuboid is a parallelepiped. Now, the surface area of the parallelepiped is the sum of the areas of all sides, that is:

where

l is the lenght

w is the width

and

h is the height

According to the figure given in the problem, we have that:

l = 30

w = 10

h = 10

thus, the surface area of the given cuboid would be:

So that, we can conclude that the correct answer is:

We are given the percentages for males on the left side and the percentages for females on the right side.

We are trying to find four groups that make up nearly 1/2 of the male population, so we want the percentages for these groups to add up to nearly 50%.

Let's take a look at the lowest age groups of the male population, which in turn make up the highest proportion of the male population.

We have the age group 0-4, which makes up roughly 12%.

We have the age group 5-9, which makes up roughly 11%.

We have the age group 10-14, which makes up roughly 11%.

We have the age group 15-19, which makes up roughly 12.5%.

If we add all of these percentages together, we get:

12% + 11% + 11% + 12.5% = 46.5%

Since we cannot go any smaller than 46.5% because this is the closest percentage to 50%, the four groups that make up nearly one half of the male population must be:

Ages 0-4, 5-9, 10-14, and 15-19

Suppose we have the recursive formula of sequence, [tex]\displaystyle{f(n+1)=0.5f(n)}[/tex]. From this formula, we know that:

[tex]\displaystyle{f(2)=0.5f(1)}\\\\\displaystyle{f(3)=0.5f(2)}\\\\\displaystyle{f(4)=0.5f(3)}\\\\\displaystyle{f(5)=0.5f(4)}[/tex]

Since the first term of sequence is 120. Therefore, [tex]\displaystyle{f(1)=120}[/tex]. Since [tex]\displaystyle{f(4)=0.5f(3)}[/tex] then substitute in [tex]\displaystyle f(5)[/tex]:

[tex]\displaystyle{f(5)=0.5\cdot 0.5f(3)}[/tex]

Then substitute f(3) down to f(1):

[tex]\displaystyle{f(5)=0.5\cdot 0.5 \cdot 0.5 \cdot 0.5 \cdot 120}\\\\\displaystyle{f(5)=(0.5)^4\cdot 120}\\\\\displaystyle{f(5)=7.5}[/tex]

Therefore, f(5) = 7.5