Question 1
(02.01 LC)
What is the solution for the equation 4x 10 = 2x? x =______. (Input whole number
only). (5 points)
Po p
5

If two sides of a triangle are 22 in and 13 in, then is the smallest whole number value for the 3rd side will be 10

According to the rule of triangle the sum of first angle and second angle should be greater than the third angle.

first angle+ second angle > third angle

Here

22-13 = 9

so to became a triangle the minimum value of the third side will be 10(9+1).

Therefore, If two sides of a triangle are 22 in and 13 in, then is the smallest whole number value for the 3rd side will be 10

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Answer: Each point appears to give the same number of tickets

9 points give 54 tickets

Step-by-step explanation:

Each point appears to give the same number of tickets

To find the number of tickets, a point gives

divide the number of tickets by the number of points.

18/3 = 6

you get six tickets per point

find the number of points that give 54 tickets by dividing 54 by 6

54/6=9

9 points give 54 tickets

The slope of the line AB in simplest form is 3/2.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

We also know that the slope is rise over run, rise represents the y-axis and run represents the x-axis.

From B to C rise is 3 and from B to C run is 2.

Therefore, the slope of the line AB is 3/2.

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The equation that has infinitely many solutions is 5(2x + 4) = 10(x + 2).

An equation can have infinitely many solutions when both sides of the equation satisfy the same conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line. For the given equations it can determine if the equation has infinitely many solutions by simplifying the equation and see if both sides are equal. Hence,

5(2x + 4) = 10x – 12

10x + 20 ≠ 10x - 12

5(2x + 4) = 10(x + 2)

10x + 20 = 10x + 20

5(2x + 4) = 12x

10x + 20 ≠ 12x

5(2x + 10) = 20(x + 1)

10x + 50 ≠ 20x + 20

Hence, 5(2x + 4) = 10(x + 2) has infinitely many solutions.

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Answer:0.4 as a decimal,2/5 as a fraction

Step-by-step explanation:

Answer: twelve and nine-tenths feet

Step-by-step explanation:

I turned the fractions into decimals cus I find that easier.

5/8 = .625 + 2 = 2.625

2.625(4) = 10.5 (multiply by 4 because it is 4 pieces)

1/5 = 0.2 + 1 = 1.2

1.2(2) = 2.4 (multiply by 2 because it is 2 pieces)

2.4 + 10.5 = 12.9

.9 can also be 9/10ths

Answer:

12 9/10

Step-by-step explanation:

The four pieces of wood: 4 x 2 5/8 = 10.5 or 10 1/2

The two peices of wood: 2 x 1 1/5 = 2.4 or 2 2/5

The total of both: 10 1/2 + 2 2/5= 12.9 or 12 9/10

The curvature at the point (2, 8, −1). x = 2t, y = 8t^3/2, z = −t^2 is 0.039

In this question we need to find the curvature of r(t) = <2t, 8t^3/2, -t^2> at the point (2, 8, -1).

The derivative of r(t) with respect to t is:

r'(t) = <2, 12t^1/2, -2t>

The point (2, 8, -1) corresponds to t = 1,

and r′(1) = <2, 12(1)^1/2, -2(1)>

r'(1) = <2, 12, -2>

|r'(1)| = √(2^2 + 12^2 + (-2)^2)

|r'(1)| = √(4 + 144 + 4)

|r'(1)| = √(152)

|r'(1)| = 12.32

Now, r''(t) = <2, 6t^-1/2, -2>

and r′'(1) = <0, 6, -2>

r′(1) × r′′(1) = <0, 72, 4>

|r′(1) × r′′(1) |

= √(0^2 + 72^2 + 4^2)

=72.11

So, the curvature of r(t) would be,

κ(1) = |r′(1) × r′′(1)| ÷ |r′(1)|^3

k(1) = 72.11 / 12.32³

k(1) =0.039

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Answer:  

1/ There are 4 clownfish in the tank now

2/ 4/10

Step-by-step explanation:

1/ We know the original number of clownfish is 2/8, which means there are 2 clownfish in a tank with a total number of 8 fish.

So now she wants to double the clownfish. So there will be 4 clownfish in the tank now.

2/ We know that there was eight fish in the tank, and now there are 2 more, so the total will be 10! And we know that now there are 4 clownfish, so our fraction is 4/10

Answer:

2w [tex]\leq[/tex] 30

Step-by-step explanation:

Two times the value of w must be less than or equal to 30

Answer:  w < = 15

Step-by-step explanation:

Our equation is

2w < = 30

Divided by 2 both sides

w < = 15

the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587

The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.

To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.

We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.

We the look up the probability for a value of 1 in the z-table, which is 0.1587.

This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.

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Answer:

The mass of 100 cubic cm = 1,000 grams.

The mass of 500 cubic cm = 5,000 grams.

Step-by-step explanation:

90/10=9

140/10=14

250/10=25

100x10=1000

500x10=5000

The equation which shows that how many more t- shirts sal designed is x^{y} .....

If jay designed 4 t-shirts and sal designed 5 times as many t-shirts. So the equation which shows how more t- shirts sal designed is....

Firstly we make the data to simplify the peoblem:

Suppose:

T-shirts designed by jay =  x

T-shirts designed by sal = y

As t-shirts designed by jay are 4 so

x=4

and t-shirts designed by sal are 5 times as many t- shirts so

y= 5times = 4×4×4×4×4 = 1,024

So the equation which shows how many more t-shirts sal designed will be:

Required equation = x^{y}

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By solving this question of algebra we can calculate that Mile bought 3.5 pounds of jelly bean.

Algebra is the study of using variables to denote some quantity, and then solving equations to calculate the value of the quantity based on some conditions given.

Let x be the amount of gummy bear bought and y be the amount of jelly bean bought. Then, 3.40x + 1.5y = 13.75 (total amount of money)

x = 2.5 (given in question)

then,

3.40 (2.5) + 1.5y = 13.75

y = 3.5 pounds

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for a normal distribution, assume the 'population' standard deviation is 7.7. .645 * 7.7 / √(n) is the maximal margin of error associated with a 90% confidence interval for the true population mean if n

The margin of error is calculated as

Margin of Error = Critical Value * Standard Deviation / √(Sample Size)

= 1.645 * 7.7 / √(n)

= 1.645 * 7.7 / √(n)

The margin of error is a measure of the accuracy of an estimate based on a sample from a population. It is calculated by taking the critical value (1.645, for a 90% confidence interval) multiplied by the population standard deviation (7.7), divided by the square root of the sample size (n). The higher the sample size, the smaller the margin of error. This means that a larger sample size gives a more accurate estimate of the true population mean.

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Answer:

v3+2v2−21v+21/v+6

Step-by-step explanation:

There are no solutions to this equation

Answer:

x=-6

Step-by-step explanation:

[tex]\frac{1}{2} x[/tex]-6=2x+3

∴2×( [tex]\frac{1}{2} x[/tex]-6)=2×(2x+3)

∴x-12=4x+6

∴3x=-18

∴x=-6

The amount that Stephen owed after 2 weeks is $100.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, Stephan borrowed $125 to buy an electric scooter and the function f(x) = 125 - 12.5x

can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan.

The amount after 2 weeks will be:

f(x) = 125 - 12.5x

= 125 - 12.5(2)

= 125 - 25

= $100

The amount is $100.

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Complete question

Stephan borrowed $125 to buy an electric scooter. The function f(x) = 125 - 12.5x

can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan. What is the amount owed after 2 weeks?

The value of the given logarithm log(750)=2.875.

Commonly employed in science and engineering, the base-10 logarithm is also known as the decimal or common logarithm. Since its derivative is so straight forward, the natural logarithm, whose base is the number e 2.718, is widely used in both mathematics and physics. Computer science typically use the binary logarithm, which has a base of 2.

John Napier developed logarithms as a way to make calculations simpler in 1614. To make high-accuracy calculations simpler, they were quickly embraced by surveyors, scientists, engineers, navigators, and other professionals. Inefficient multi-digit multiplication steps can be swapped out for quicker addition and table lookups when using logarithm tables.

Given,

We have to find the logarithm value of log(750)

By using the logarithm calculator we get

log(750)=2.875

Therefore, the value of the given logarithm log(750)=2.875

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The slope of a line that is perpendicular to the line y = x - 5 is the negative reciprocal of the slope of y = x - 5. The slope of y = x - 5 is 1, so the slope of the line that passes through (4, 8) and is perpendicular to y = x - 5 is -1.

We can use the point-slope form of a line to write the equation of the line that passes through (4, 8) and has a slope of -1. The point-slope form of a line is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this case, (x1, y1) is (4, 8) and m is -1, so the equation of the line is y - 8 = -1(x - 4). Simplifying this equation, we get y - 8 = -x + 4. Adding 8 to both sides of the equation, we get y = -x + 12. This is the equation of the line that passes through (4, 8) and is perpendicular to y = x - 5.

Answer: hmmmm who knows?

Step-by-step explanation: but you got it good luck!

Answer:

The cost of one foot of grass sod is $9 and the cost of one shrub is $18.

Step-by-step explanation:

Since Pranv and Paul both bought their supplies from the same store, we can assume that they paid the same price per foot of grass sod and per shrub. From the information given, we know that Pranv spent $90 on 10 feet of grass sod and 5 shrubs, which means that he paid 90/10 = $9 per foot of grass sod and 90/5 = $18 per shrub. We also know that Paul spent $50 on 5 feet of grass sod and 3 shrubs, which means that he paid 50/5 = $10 per foot of grass sod and 50/3 = $16.67 per shrub. Since both Pranv and Paul paid the same price per foot of grass sod and per shrub, the cost of one foot of grass sod is $9 and the cost of one shrub is $18.

From Boston to Kansas City, it takes 20 minutes to get there. When calculating the plane's arrival time, multiply the 360 mph speed from Boston by the 864 mi distance to Chicago.

Regardless of an object's beginning or ending position, we can define distance as the amount of ground it has traveled.

given

When calculating the plane's arrival time, multiply the 360 mph speed from Boston by the 864 mi distance to Chicago.

Distance = rate*time

864 = 360t,

t = 2.4

In other words, the flight arrived after 2.4 hours. Given that this is longer than two hours, divide the number by sixty to determine the time in minutes:

60 * 2.4 = 144 minutes. Assess the flight's travel time from Kansas City now.

It took 2 hours, 4 minutes, or 124 minutes from the time it departed at 8:30 AM to the time it arrived at 10:34 AM.

According to this, the jet from Kansas City arrived 144 – 124 = 20 minutes earlier than the plane from.

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Answer:

1

Step-by-step explanation:

you will be required to find a magnitude of the two points that is (5,1) -(-7,a) =(12,1-a)

then find square root using the formula √x^2+y^2

thus (√12^2+a^2)=13 thus 12+a= 13 hence a=13-12

a=1

Answer:

m it's equal to 6 because division its equal subtract the power

Step-by-step explanation:

A* to the power 9 divided by A* to the power 3 its equal to 9-3 = A* to the power its a

A^6

The verdict on each of the given scenarios are as follows;

By observation:

1. Since the two Triangles represented in 1. share a side and also, the two corresponding sides are congruent; it can be concluded that the two triangles are congruent.

2. By observation, although two sides are said to be congruent in the triangles; it cannot be concluded that the triangles are congruent neither by HL nor SSS congruence theorem.

3. The two Triangles share the diagonal which serves as the hypothenuse of both triangles; in addition, one of the other side lengths of the triangles are congruent; Therefore, the triangles are congruent by the HL congruence theorem.

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Answer:

75

Step-by-step explanation:

From the way you've typed the question, it would appear that the ratio of the size of the smaller side to the ratio of the size of the larger side is 2:5.

Therefore, if the smaller side is 30, you can use the ratio the find the larger side:

[tex]S:L\\2:5\\\\[/tex]

(×15 to make the smaller side 30)

[tex]30:75[/tex]

Therefore, the bigger triangle would have side length 75.

Answer:

5 spaces right

hope this helps