9
A system of___
is when
you have two or more linear
inequalities

Step-by-step explanation:

I'm not sure but he if he puts 14 Apples a day in hot water for 3 hours, I got 90÷14

which was 6 RM 6 which means he out 14 apples in hot water 6 times and he remains with 6 apples(I don't know what he does with those) but since he puts 14 apples 6 times for 3 hours multiply 6×3=18 hours again, I'm not sure if this is correct at all but I hope I at least triggered something that you can think of?

True. The rule of thirds is a photography and visual arts guideline that involves dividing an image into thirds using two horizontal lines and two vertical lines, and then placing the image's most important elements at the intersection points or along the lines.

This aids in the creation of a balanced and visually appealing composition. This results in nine rectangular areas of equal size, with four intersection points where the lines cross.

The rule of thirds principle suggests that the points of intersection or the lines themselves are ideal places to position the composition's most important elements. The resulting image is more visually balanced and pleasing to the eye as important elements are placed in these areas.

It is important that, however, that the rule of thirds is not a hard and fast rule, and that there were times when breaking it can result in more dynamic and interesting compositions. The rule of thirds is merely a tool for artists and photographers to use in order to create more effective and engaging images.

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Answer:

For the top row, 3 and 4, respectively

For the bottom row, 60 and 150, respectively

Step-by-step explanation:

w increases by 1 every time and d increases by 30

Answer:

for 2 weeks it is $60 and for $90 dollars its 3 weeks and for $120 is 4 weeks  and for 5 weeks its $150.

Step-by-step explanation:

She gets payed $30 every week since 1 week=30 that means its adding 30 dollars each week.

Answer:

adult-135

kid-27

Step-by-step explanation:

13.50*10=135

4.50*6=27

Answer: $456

Step-by-step explanation: They will both have the same amount of money at 7 months

The maximum rate of change of function f at the given point occurs in the direction of the gradient vector.

To find the maximum rate of change of a function f at a given point, we need to compute the gradient of the function and evaluate it at that point. The gradient represents the direction of steepest ascent, and its magnitude indicates the maximum rate of change.

By finding the partial derivatives of f with respect to each variable and evaluating them at the given point, we obtain the components of the gradient vector. The maximum rate of change occurs in the direction of this gradient vector. Without the specific function and point, it is not possible to determine the exact maximum rate of change or its direction.

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Answer:

The slope of the line is zero.

Step-by-step explanation:

The slope is zero. This is a perfectly horizontal line passing through y=−3 .

Answer:

(9-7)

Step-by-step explanation:

1st

Vertex

we have

f(x)=x²-18x+88

let

y=x²-18x+88

comparing above equation with ax²+bx+c

we get

a=1

b=-18

c=88

now

vertex(x,y)=(-b/2a,f(-b/2a))

x=(18/2×1)=9

y=f(9)=9²-18×9+88=7

SO

VERTEX(X,Y)=(9,7)

69.56 + 0.32x₁ - 0.18x₂ is the equation that fits the given data for the dependent variable y and the two independent variables x₁ and x₂.

The given data for a dependent variable y and two independent variables, x₁ and x₂, are as follows:

x₁: 22, 30, 12, 45, 11, 25, 18, 50, 17, 41, 6, 50, 19, 75, 36, 12, 59, 13, 76, 17

y: 50, 90, 50, 80, 60, 80, 50, 70, 60, 70, 50, 70, 90, 80, 70, 60, 80, 50, 70, 60

The estimated regression equation for the given data is given by:

y = 69.56 + 0.32x₁ - 0.18x₂

Here:

y represents the dependent variable.

x₁ and x₂ are the two independent variables.

Therefore, the equation that fits the given data for the dependent variable y and the two independent variables x₁ and x₂ is y = 69.56 + 0.32x₁ - 0.18x₂.

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Let x= 3^4. So the value of given expression after applying power rule is x=81.

What is meant by power?

How many times you should multiply a number depends on its power. Exponents and indices are other names for powers. For instance, 82 may also be referred to as "8 to the power 2," "8 to the second power," or just "8 squared."

What is meant by n^5 where n can be any number?

By n^5 means n^5=n*n*n*n*n that is multiplying n five times.

3^4=(3^2)^2

=(9)^2

=81

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Answer:

sin 0 = 24/25

cos 0 = 7/25

tan 0 = 24/7

Step-by-step explanation:

hey there!

sine = opposite divided by hypotenuse

the opposite of angle 0 is 24 and the hypotenuse is 25 so sin 0 = 24/25

cosine = adjacent divided by hypotenuse

the adjacent of 0 is 7 and the hypotenuse is 25 so cos 0 = 7/25

Tangent.= opposite divided by adjacent

the opposite of 0 is 24 and the hypotenuse is 7 so tan 0 = 24/7

The given series Σ(1/(n + 20) * ln(n + 20)) does not have a clear convergence or divergence based on the information provided. Further analysis or testing is required to determine the nature of the series.

Explanation:

To determine the convergence or divergence of the given series Σ(1/(n + 20) * ln(n + 20)), we need to apply appropriate tests for convergence.

a. Convergent by the Comparison Test: Without a specific comparison series or limit comparison, we cannot determine convergence or divergence using the Comparison Test.

b. Divergent by the Ratio Test: The Ratio Test involves taking the limit of the absolute value of the ratio of consecutive terms. Without calculating the limit of the given series, we cannot conclude divergence using the Ratio Test.

c. Divergent by the Integral Test: The Integral Test requires comparing the series to the integral of the function. Without evaluating the integral or comparing it to the series, we cannot determine divergence using the Integral Test.

d. Convergent by the Integral Test: Without calculating the integral or comparing it to the series, we cannot determine convergence using the Integral Test.

e. Divergent by the Test for Divergence: The Test for Divergence cannot be applied without evaluating the limit of the terms of the series.

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The solution to the initial value problem can be written in the form:

y(x) = (1/K)∫|sin(5x)|⁵ (3x³ - csc(5x)) dx

where K is a constant determined by the initial condition.

To solve the initial value problem and find the solution y(x), we can use the method of integrating factors.

Given: dy/dx + 5cot(5x)y = 3x³ - csc(5x), y = 0

Step 1: Recognize the linear first-order differential equation form

The given equation is in the form dy/dx + P(x)y = Q(x), where P(x) = 5cot(5x) and Q(x) = 3x³ - csc(5x).

Step 2: Determine the integrating factor

To find the integrating factor, we multiply the entire equation by the integrating factor, which is the exponential of the integral of P(x):

Integrating factor (IF) = e^{(∫ P(x) dx)}

In this case, P(x) = 5cot(5x), so we have:

IF = e^{(∫ 5cot(5x) dx)}

Step 3: Evaluate the integral in the integrating factor

∫ 5cot(5x) dx = 5∫cot(5x) dx = 5ln|sin(5x)| + C

Therefore, the integrating factor becomes:

IF = \(e^{(5ln|sin(5x)| + C)}\)

= \(e^C * e^{(5ln|sin(5x)|)}\)

= K|sin(5x)|⁵

where K =\(e^C\) is a constant.

Step 4: Multiply the original equation by the integrating factor

Multiplying the original equation by the integrating factor (K|sin(5x)|⁵), we have:

K|sin(5x)|⁵(dy/dx) + 5K|sin(5x)|⁵cot(5x)y = K|sin(5x)|⁵(3x³ - csc(5x))

Step 5: Simplify and integrate both sides

Using the product rule, the left side simplifies to:

(d/dx)(K|sin(5x)|⁵y) = K|sin(5x)|⁵(3x³ - csc(5x))

Integrating both sides with respect to x, we get:

∫(d/dx)(K|sin(5x)|⁵y) dx = ∫K|sin(5x)|⁵(3x³ - csc(5x)) dx

Integrating the left side:

K|sin(5x)|⁵y = ∫K|sin(5x)|⁵(3x³ - csc(5x)) dx

y = (1/K)∫|sin(5x)|⁵(3x³ - csc(5x)) dx

Step 6: Evaluate the integral

Evaluating the integral on the right side is a challenging task as it involves the integration of absolute values. The result will involve piecewise functions depending on the range of x. It is not possible to provide a simple explicit formula for y(x) in this case.

Therefore, the solution to the initial value problem can be written in the form: y(x) = (1/K)∫|sin(5x)|⁵(3x³ - csc(5x)) dx

where K is a constant determined by the initial condition.

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Answer:

Step-by-step explanation:

do the thing times 2

Answer:

60% i got it

Step-by-step explanation:

6000/500= 12

12/20*100= 60%

Answer:67%

Step-by-step explanation:

Answer:

Question 1: B

Question 2: D

Question 3: D

Step-by-step explanation:

\(2x^{2}\)+4x-3x-6

group and simplify

(2x-3)(x+2)

a) 20 people travel more than 30 miles to work.

b) Sam travels 20 miles .

Given,

In the question:

From the graph:

The histogram shows information about how 550 people travel to work.

To find the how many people travel more than 30 miles to work?

Now, According to the question:

Observe the Graph :

a)  How many people travel more than 30 miles to work

5 x 4 = 20 people

b) 205 of the 550 people travel further than Sam . Estimate how far Sam travel?

Now, According to the question:

205 of the 550 people travel further than Sam,

Sam travels 20 miles .

Hence, a) 20 people travel more than 30 miles to work.

b) Sam travels 20 miles .

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The approximate volume of the remaining solid is option (b) 77 cubic inches

The volume of the rectangular prism is given by

V_rectangular prism = base area x height = 4 x 4 x 6 = 96 cubic inches

The volume of the cylinder is given by

V_cylinder = π x r^2 x h = π x 1^2 x 6 = 6π cubic inches

To find the volume of the remaining solid, we need to subtract the volume of the cylinder from the volume of the rectangular prism

V_remaining solid = V_rectangular prism - V_cylinder = 96 - 6π ≈ 77 cubic inches (rounded to the nearest whole number)

Therefore, the correct option is (b) 77 cubic inches

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a) After 8 hours, a person earned $148 in wages.

The function is, $x = 18.5 y

b) The linear function to represent the table is, y = 10x -4

A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.

Given:

a) After 8 hours, a person earned $148 in wages.

So, the unit rate change = 148/ 8

                                         = 18.5

So, if y represents the number of hour and $x the wages, then the function is

$x = 18.5 y

b) The unit rate change for the function is

= (56-36)/(6-4)

= 20/ 2

= 10

So, the linear function to represent the table is

y - 36 = 10(x - 4)

y- 36 = 10x - 40

y = 10x -4

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The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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Step-by-step explanation:

Divide 7560 by 9 you get 840. Then you times 840 by 4 you get 3360, Multiply 840 by 5 you get 4200.

Answer: 3

Step-by-step explanation:

The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.

From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.

So, Minimum Value = 1.0

Maximum Value = 11.2

Range = Maximum Value - Minimum Value

                  = 11.2 - 1.0

                     = 10.2

Therefore, the range of the given data is 10.2.

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Answer:

1

Step-by-step explanation:

hope this helps!

The scale factor was used to enlarge the picture is 31.5/7 or 4.5.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life

here, we have,

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

By simply taking the width after it was enlarged and dividing it by the width before it was enlarged we can find the scale factor that was used.

In this case it would be 31.5 (width after)/ 7 (width before)

which gives us a scale factor of 31.5/7.

Simplifying would yield a scale factor of 4.5 times.

hence, The scale factor was used to enlarge the picture is 31.5/7 or 4.5.

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Answer:

\(\displaystyle y=-\frac{1}{6}x-\frac{1}{2}\)

Step-by-step explanation:

We want to write the equation of a line that passes through the point (3, -1) and is perpendicular to the line:

\(y=6x-4\)

Remember that the slopes of perpendicular lines are negative reciprocals of each other.

The slope of the given equation is 6.

So, the slope of our perpendicular line is the negative reciprocal of 6, which is -1/6.

Next, we are given that it passes through the point (3, -1). Since we are given a point and know the slope, we can use the point-slope form. Point-slope form is given by:

\(y-y_1=m(x-x_1)\)

Where m is the slope and (x₁, y₁) is a point.

We will substitute -1/6 for m and (3, -1) for (x₁, y₁). Hence:

\(\displaystyle y-(-1)=-\frac{1}{6}(x-(3))\)

Simplify:

\(\displaystyle y+1=-\frac{1}{6}(x-3)\)

Our answer is valid as it as, but we can simplify this into slope-intercept form. Distribute:

\(\displaystyle y+1=-\frac{1}{6}x+\frac{1}{2}\)

And subtract one from both sides. Therefore, our equation is:

\(\displaystyle y=-\frac{1}{6}x-\frac{1}{2}\)

Answer:

There are 240 blue beads and 300 total beads.

Step-by-step explanation:

We know that 60 beads are red, and that represents 1/5 of the total beads. To get the total number, multiply 60 by 5 to get 300. To find the number of blue beads, which we know is 4/5 of the total, we multiply 300 (total) by 4/5 (or .8) and get 240 beads.