Find the x- and y-intercepts of the graph of 3x + 10y = 33. State each answer as an integer or an improper fraction in simplest form.

Answer:

Depends on what sequence it is. For geometric it's 7/5 and for arithmetic - 2

Step-by-step explanation:

For n = 3:
a, = 1*2*3 - 1 = 5
For n = 4:
a, = 8 - 1 = 7

These are the terms for n = 3 and n = 4 but the thing is, this could be both geometric sequence and arithmetic sequence, since you didn't specify, here are the possible answers:

For geometric sequence, the rate of change is equal to An / An-1 therefore:
r = 7 /5

For arithmetic sequence, it's equal to A2 - A1 = 7 - 5 = 2

Answer:

the pic is not clear to me

Step-by-step explanation:

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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Answer: 187 apples

Step-by-step explanation:

Substitute "year 5" into the equation. y = 15.2(5) +111.

y = 76 + 111

y = 187

Answer:

12.231

Step-by-step explanation:

you add them with the zeros

Answer:

12.231

Step-by-step explanation:

0.031+10+2.2

10.031+2.2

12.231

Answer: 100

Step-by-step explanation:

4(5)^5

4 x 5^5

4 x 25

100

Answer:

  B.  {(0,2), (1,3), (4,3), (1,2)}

Step-by-step explanation:

A relation is not a function if the same input value maps to multiple output values. Essentially, if any x is repeated, it is not a function.

The second set, {(0,2), (1,3), (4,3), (1,2)}, has x-values of 0, 1, 4, 1, so 1 is repeated. It is not a function.

Answer:

The equations have one solution at (5, -5).

Step-by-step explanation:

We are given a system of equations:

\(\displaystyle{\left \{ {{-2x+5y=-35} \atop {7x+2y=25}} \right.}\)

This system of equations can be solved in three different ways:

Graphing the Equations

We need to solve each equation and place it in slope-intercept form first. Slope-intercept form is \(\text{y = mx + b}\).

Equation 1 is \(-2x+5y = -35\). We need to isolate y.

\(\displaystyle{-2x + 5y = -35}\\\\5y = 2x - 35\\\\\frac{5y}{5} = \frac{2x - 35}{5}\\\\y = \frac{2}{5}x - 7\)

Equation 1 is now \(y=\frac{2}{5}x-7\).

Equation 2 also needs y to be isolated.

\(\displaystyle{7x+2y=25}\\\\2y=-7x+25\\\\\frac{2y}{2}=\frac{-7x+25}{2}\\\\y = -\frac{7}{2}x + \frac{25}{2}\)

Equation 2 is now \(y=-\frac{7}{2}x+\frac{25}{2}\).

Now, we can graph both of these using a data table and plotting points on the graph. If the two lines intersect at a point, this is a solution for the system of equations.

The table below has unsolved y-values - we need to insert the value of x and solve for y and input these values in the table.

\(\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & a \\ \cline{1-2} 1 & b \\ \cline{1-2} 2 & c \\ \cline{1-2} 3 & d \\ \cline{1-2} 4 & e \\ \cline{1-2} 5 & f \\ \cline{1-2} \end{array}\)

\(\bullet \ \text{For x = 0,}\)

\(\displaystyle{y = \frac{2}{5}(0) - 7}\\\\y = 0 - 7\\\\y = -7\)

\(\bullet \ \text{For x = 1,}\)

\(\displaystyle{y=\frac{2}{5}(1)-7}\\\\y=\frac{2}{5}-7\\\\y = -\frac{33}{5}\)

\(\bullet \ \text{For x = 2,}\)

\(\displaystyle{y=\frac{2}{5}(2)-7}\\\\y = \frac{4}{5}-7\\\\y = -\frac{31}{5}\)

\(\bullet \ \text{For x = 3,}\)

\(\displaystyle{y=\frac{2}{5}(3)-7}\\\\y= \frac{6}{5}-7\\\\y=-\frac{29}{5}\)

\(\bullet \ \text{For x = 4,}\)

\(\displaystyle{y=\frac{2}{5}(4)-7}\\\\y = \frac{8}{5}-7\\\\y=-\frac{27}{5}\)

\(\bullet \ \text{For x = 5,}\)

\(\displaystyle{y=\frac{2}{5}(5)-7}\\\\y=2-7\\\\y=-5\)

Now, we can place these values in our table.

\(\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}\)

As we can see in our table, the rate of decrease is \(-\frac{2}{5}\). In case we need to determine more values, we can easily either replace x with a new value in the equation or just subtract \(-\frac{2}{5}\) from the previous value.

For Equation 2, we need to use the same process. Equation 2 has been resolved to be \(y=-\frac{7}{2}x+\frac{25}{2}\). Therefore, we just use the same process as before to solve for the values.

\(\bullet \ \text{For x = 0,}\)

\(\displaystyle{y=-\frac{7}{2}(0)+\frac{25}{2}}\\\\y = 0 + \frac{25}{2}\\\\y = \frac{25}{2}\)

\(\bullet \ \text{For x = 1,}\)

\(\displaystyle{y=-\frac{7}{2}(1)+\frac{25}{2}}\\\\y = -\frac{7}{2} + \frac{25}{2}\\\\y = 9\)

\(\bullet \ \text{For x = 2,}\)

\(\displaystyle{y=-\frac{7}{2}(2)+\frac{25}{2}}\\\\y = -7+\frac{25}{2}\\\\y = \frac{11}{2}\)

\(\bullet \ \text{For x = 3,}\)

\(\displaystyle{y=-\frac{7}{2}(3)+\frac{25}{2}}\\\\y = -\frac{21}{2}+\frac{25}{2}\\\\y = 2\)

\(\bullet \ \text{For x = 4,}\)

\(\displaystyle{y=-\frac{7}{2}(4)+\frac{25}{2}}\\\\y=-14+\frac{25}{2}\\\\y = -\frac{3}{2}\)

\(\bullet \ \text{For x = 5,}\)

\(\displaystyle{y=-\frac{7}{2}(5)+\frac{25}{2}}\\\\y = -\frac{35}{2}+\frac{25}{2}\\\\y = -5\)

And now, we place these values into the table.

\(\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}\)

When we compare our two tables, we can see that we have one similarity - the points are the same at x = 5.

Equation 1                  Equation 2

\(\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}\)                 \(\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}\)

Therefore, using this data, we have one solution at (5, -5).

Answer:63

Step-by-step explanation:

Answer:

36.8

Step-by-step explanation:

Hope this should do the trick if you can find this answer; 36.8.

The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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Answer:

Step-by-step explanation:

We know:

KE=12mv2=Fd

KE=  

2

1

​  

mv  

2

=Fd

Where Fd=umgdFd=umgd Thus,

12mv2=umgd

2

1

​  

mv  

2

=umgd

12v2=ugd

2

1

​  

v  

2

=ugd

v2=2ugd

v  

2

=2ugd

v=2ugd−−−−√

v=  

2ugd

​  

v=2(0.3)(9.81)(78)−−−−−−−−−−−−−√

v=  

2(0.3)(9.81)(78)

​  

v=21.4m/s

v=  

21.4m/s

​  

Part B

The cars mass does not matter because we can see that the mass cancels out from both sides of the equation.

Answer:

65,536 kg

Step-by-step explanation:

Answer:

141,548

Step-by-step explanation:

the product means you need to multiply

Answer:

400!

Step-by-step explanation:

16 times 25 is 400, therefore 16 is four percent of 400! Also, when finding out 4% of something, divide it by 25. When fiding 25% of something, divide it by 4!

16 is 4 percent of 400 as per the concept of percentages.

16 is 4% of 400.

To determine the number that 16 is 4% of, we can set up a proportion using the concept of percentages. Let's denote the unknown number as "x." The proportion can be written as:

16/x = 4/100

To solve this proportion, we can cross-multiply:

16 (100) = 4x

1600 = 4x

To isolate x, we divide both sides of the equation by 4:

1600/4 = x

x = 400

Therefore, 16 is 4% of 400.

To verify this, we can calculate 4% of 400:

4/100 x 400 = 0.04 x 400 = 16

As we can see, 16 is indeed 4% of 400.

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Answer:

ok so its a triangle with one side being

11

on side being

2

and one side is x

so we just use the formula

11^2+2^2=c^2

11^2+2^2=125

125 squared is 25

so

3 times the square root of 13 is 10.8166538264

so no

5 times the square root of 5 is 11.1803398875

so the answer i guess might be a?

Hope This Helps!!!

Answer:

coaches students to improve their communication skills

Step-by-step explanation:

Answer:

helps students with speech disabilities

Step-by-step explanation:

Got it right

Answer:

Step-by-step explanation:

80+1=9x

81=9x

x=9

Step by step explanation:

Step 1:

→\(-9x + 1 = - 80\)

Step 2:

→\( - 9x = - 80 - 1\)

Step 3:

→\( - 9x = - 81\)

Step 4:

→\(x = \dfrac{ - 81}{ - 9} \)

Step 5:

→\(x = 9✓\)

The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

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Answer:

you look at the third decimal place which will affect the second decimal place.

in this case: 2 affects 4 -- leaves it as 4

so the number rounded to two decimal places is 7.14

Answer:

z + 12

Step-by-step explanation:

Combine like terms (terms with the same amount of variables).

2z + 9 - z + 3

(2z - z) + (9 + 3)

z + 12

z + 12 is your answer.

~

Answer:

z + 12

Step-by-step explanation:

This is the answer because:

1) Our like terms are 2z and z and 9 and 3

2) First, we should add 9 and 3 because they are like terms and there is a + sign in front of the 3 which equals to 12

3) Then, subtract 2z and z because they are like terms and there is a - sign in front of the z which equals to z

4) Finally, we are left with z + 12. This expression is simplified because there is no more like terms

Hope this helps!

Answer:

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

Step-by-step explanation:

y-y1=m(x-x1)

y-1=m(x+3)

the slope is rise over run

the slope is -1/3

Answer:

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

Step-by-step explanation:

To find the equation of a line parallel to the given line and passing through the point (-3, 1), we can use the point-slope form of a linear equation. The point-slope form is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) is the given point and m is the slope of the line.

First, let's calculate the slope of the given line using the two points (-2, -4) and (2, 2):

slope = (y₂ - y₁) / (x₂ - x₁)

= (2 - (-4)) / (2 - (-2))

= 6 / 4

= 3/2

Since the line we want to find is parallel to the given line, it will have the same slope. Therefore, the slope (m) of the new line is also 3/2.

Now we can substitute the values into the point-slope form using the point (-3, 1):

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

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

The equation in point-slope form of the line parallel to the given line and passing through the point (-3, 1) is:

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

The area of the interior above the polar axis is -0.858 square units

The area bounded by a polar curve between θ = θ₁ and θ = θ₂ is given by

\(A = \int\limits^{\theta_{2} }_{\theta_{1} } {\frac{1}{2}r^{2} } \, d\theta\)

Now, since we have the curve r = 1 - sinθ and we want to find the area of the interior above the polar axis, we integrate from θ = 0 to θ = π, since this is the region above the polar axis.

So, \(A = \int\limits^{\theta_{2} }_{\theta_{1} } {\frac{1}{2}r^{2} } \, d\theta\\= \int\limits^{\pi}_{0} {\frac{1}{2}(1 - sin\theta)^{2} } \, d\theta\\= \int\limits^{\pi}_{0} {\frac{1}{2}[1 - 2sin\theta + (sin\theta)^{2}] } \, d\theta\\= \int\limits^{\pi}_{0} {\frac{1}{2}\, d\theta - \int\limits^{\pi}_{0} 2sin\theta \, d\theta+ \int\limits^{\pi}_{0} (sin\theta)^{2} } \, d\theta\\\)

\(A = \int\limits^{\pi}_{0} {\frac{1}{2}\, d\theta - 2\int\limits^{\pi}_{0} sin\theta \, d\theta+ \int\limits^{\pi}_{0} \frac{(1 - cos2\theta)}{2} } \, d\theta\\= \int\limits^{\pi}_{0} {\frac{1}{2}\, d\theta - 2\int\limits^{\pi}_{0} sin\theta \, d\theta+ \int\limits^{\pi}_{0} \frac{1}{2} } \, d\theta -\int\limits^{\pi}_{0} \frac{cos2\theta}{2} } \, d\theta\\\)

\(A = \int\limits^{\pi}_{0} \, d\theta - 2\int\limits^{\pi}_{0} sin\theta \, d\theta -\int\limits^{\pi}_{0} \frac{cos2\theta}{2} } \, d\theta\\= [\theta]_{0}^{\pi} - 2[-cos\theta]^{\pi} _{0} - [\frac{sin2\theta}{4}]_{0}^{\pi} \\= [\theta]_{0}^{\pi} + 2[cos\theta]^{\pi} _{0} - [\frac{sin2\theta}{4}]_{0}^{\pi}\\= [\pi - 0] + 2[cos\pi - cos0] - \frac{ [sin2\pi - sin0]}{4}\\= \pi + 2[-1 - 1] - \frac{ [0 - 0]}{4}\\= \pi + 2[-2] - \frac{ [0]}{4}\\= \pi - 4 - 0\\= \pi - 4\\= 3.142 - 4\\= -0.858\)

So, the area of the interior above the polar axis is -0.858 square units

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Answer:6^2

Step-by-step explanation:

Square has both sides with a length of 6 so 6x6 or 6^2

Answer:

A=36 ft²

Step-by-step explanation:

All sides of a square are the same, so when the length is 6 the width is also 6.

\(A=l*w\\A=6*6\\A=6^2\)

then evaluate:

\(6^2=36\)

hope this helps!

Step-by-step explanation:

Step-by-step explanation:

12=10 I think you have to add 10+2and then you get 12.

18=×you will have to multiply 18 by a number probably by 10 or 12