Trinity is saving for a robot. She saves $222 in one year. How much did she save each month?

Answer:

8

Step-by-step explanation:

porque no lo entiendo lo siento lol

Answer:

8/18 = 44.44%

According to the Houa's drawing the distance across the river PR is

The length of line PR is calculated using the knowledge of similar triangles

While similar triangles is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent.

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

Examining the figure shown, the pair of equivalent sides are

PO and OC, PR and RE,

The solution is worked out using sides PO and OC, PR and RE,

PO / OC = PR / RE

let PR be equal to y such that PO = 140 + y

(140 + y) / 230 = y / 135

cross multiplying

135(140 + y) = 230y

Expanding

18900 + 135y = 230y

collecting like terms

18900 = 230y - 135y

95y = 18900

y = 198.95 feet

Hence PR = 198.95 feet

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Answers are attached

Answer:

m = 4

Step-by-step explanation:

Answer:

m=4

Step-by-step explanation:

5(m-2)-10=6+2(1-m)

5m-5*2-10=6+2*1-2*m

5m-10-10=6+2-2m

5m-20=8-2m

5m+2m=8+20

7m=28

m=28/7

m=4

The tricks that Jonah will teach during the 75-minute class are 5 tricks. The result are obtained by multiplying the teaching speed by the class time duration. This is a problem with comparison.

When someone has a teaching speed on amount of the chapters, the longer they teach, the more amount of the chapters they teach.

It is given that

How many tricks will Jonah teach during the 75-minute class?

From that information, we get the teaching speed is 2 tricks/30 minutes.

The tricks that Jonah will teach during the 75-class are

= the teaching speed × class time duration

= 2 tricks/30 minutes × 75 minutes

= 1/15 × 75

= 5 tricks

Hence, the tricks that Jonah will teach during the 75-minute class are 5 tricks.

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When x = 2 and dx/dt = 5, the value of differentiation, dy/dt is equal to 190.

The problem states that y = 3x^3 + 2x and dx/dt = 5, and we are required to find dy/dt when x = 2.

To solve this problem, we need to use the chain rule, which is a formula for computing the derivative of a composite function. The chain rule states that if y = f(u) and u = g(x), then dy/dx = dy/du * du/dx. In other words, to find the derivative of a composite function, we need to find the derivative of the outer function and multiply it by the derivative of the inner function.

Using the chain rule, we can find dy/dx as follows:

y = 3x^3 + 2x

dy/dx = 9x^2 + 2

Now, to find dy/dt when x = 2, we need to substitute x = 2 into the above equation and evaluate it. We also need to use the given information that dx/dt = 5.

dy/dt = (dy/dx) * (dx/dt)

Substituting x = 2 and dx/dt = 5 into the above equation, we get:

dy/dt = (9(2)^2 + 2) * 5

dy/dt = (36 + 2) * 5

dy/dt = 190

Therefore, dy/dt = 190 when x = 2.

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Using the z-score a randomly selected Endure All battery has a 10.56% chance of lasting more than 550 hours.

How closely a value relates to the mean of a set of values is measured using a Z-score.

Z-score is calculated using standard deviations from the mean.

When a data point's Z-score is 0, it indicates that its entire score is equal to the mean score.

So, how far the raw score deviates from the mean is determined using the Z score.

These steps are used to determine the Z score:

z = (x - μ)/σ

We know that:  x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

Using the normal distribution graph as a guide:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, using the z-score a randomly selected Endure All battery has a 10.56% chance of lasting more than 550 hours.

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Answer:

The width is 5 feet.

Step-by-step explanation:

If the length of the banner is 15 feet, and the length of the banner is 3 times the width of the banner, then set up an equation to find the width of the banner.

banner length/3 = banner width

15/3 = w

w = 5

The width of the banner is 5 feet.

Take the average of the three points. Add their coordinates together:

(7, -10) + (-3, 4) + (8, -9) = (7 - 3 + 8, -10 + 4 - 9) = (12, -15)

Divide each coordinate by 3:

(12, -15) / 3 = (4, -5)

Answer:

42

Step-by-step explanation:

= 10+8^3/16

= 10+512/16

= 10+32

= 42

Answer:

y=-5

Step-by-step explanation:

When the x-value on the graph is equal to -4, the y-value is equal to -5

Answer:

The 2 answers are 4 and -4

Step-by-step explanation:

x-intercept and y-intercept of the line y = 4x+5 is -5/4 and 5 respectively.

What is the equation straight line?

The given equation Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

The equation of the line is y = 4x+5

So the y-intercept is (x=0)

y = 5

And the x-intercept is (y=0)

4x +5 =0

x = -5/4

Hence, the x-intercept and y-intercept of the line y = 4x+5 is -5/4 and 5 respectively.

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The View Policies Current Attempt in Progress Therefore, the result of performing the given operations is the original number n.

The result of performing the given operations on a number n is 1 100/100(5(4(n.5+8)+9)-105)-1), which simplifies to n.

Multiply by 5: 5n

Add 8: 5n +8

Multiply by 4: 4(5n+8)

Add 9: 4(5n+8) +9

Multiply by 5: 5(4(5n+8) +9 )

Subtract 105: 5(4(5n+8) +9 ) -105

Divide by 100: 1/100 (5(4(5n+8) +9 ) -105)

Subtract 1: 1/100 (5(4(5n+8) +9 ) -105) -1

Simplifying the expression, we find that 1/100 (5(4(5n+8) +9 ) -105) -1is equivalent to n. Therefore, the result of performing the given operations is the original number n.

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Answer:

24 is the least number of hamburger patties and buns Mr. Martinez will have to buy.

Step-by-step explanation:

You need to find the LCM of 6 and 8. The number they have first have common is 24

Answer:What is the simplified form of each expression? A 9−2. 9-2 = 1. 92 ... Problem 4. Problem 3 continued. Problem 2. B. 1 x. −5. 1 x -5 = 1 , x-5.

Step-by-step explanation:

Answer:

17/36

Step-by-step explanation:

We have to find a common denominator, so the first common denominator for 4 and 9 is 36. 9x4=36, so we multiply 2 by 4, which equals 8. 4x9-36, so we multiply the 1 by 9, and get 9. Then we add the numerators, 8 and 9, and get 17. So it's 17/36

The analytical definition of a parabola states that the set of points in a plane is equidistant from a fixed point called "focus" and a fixed line called the "directrix line".

The analytical definition of a parabola states that "set of all points in a plane are equidistance from the focus and the directrix of the parabola where the focus is not on the line.

The equation of a parabola is

y = ax² + bx + c

or

y = a(x - h)² + k

Here the coordinates (h, k) of a point on the parabola is said to be its "vertex" and the "focus" is at (h, k + 1/4 a).

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The equation in point -slope form with a slope of -2 and passing through the point (-3,4) is y = -2x - 2.

The point-slope form of an equation is given by:

y - y1 = m(x - x1)

where m represents the slope, and (x1, y1) represents a point on the line.

Given that the slope (m) is -2 and the point (-3,4) lies on the line, we can substitute these values into the equation:

y - 4 = -2(x - (-3))

Simplifying:

y - 4 = -2(x + 3)

Expanding the expression on the right side:

y - 4 = -2x - 6

Adding 4 to both sides to isolate y:

y = -2x - 2

This equation represents a line with a slope of -2, indicating that for every unit increase in x, the y-value decreases by 2. The line passes through the point (-3,4), meaning that this point lies on the line.

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The ball travels the farthest when the toss angle is 45 degrees. At this angle, the horizontal and vertical components of the ball's initial velocity are balanced, maximizing the projectile's range.

This occurs because the horizontal distance covered by the ball is determined by the initial velocity in that direction, while the vertical distance is affected by the gravitational force pulling the ball downward.

When the toss angle is less than 45 degrees (e.g., 15 or 30 degrees), the vertical component of the initial velocity increases, causing the ball to spend more time in the air and resulting in a shorter horizontal distance traveled. On the other hand, when the toss angle exceeds 45 degrees (e.g., 60 degrees), the vertical component of the initial velocity decreases, leading to a more rapid descent and again reducing the overall range.

Therefore, a toss angle of 45 degrees provides the optimal balance between the horizontal and vertical components of the ball's velocity, allowing it to cover the greatest distance when thrown from ground level.

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Answer:

$600

Step-by-step explanation:

I = prt

I = 10000 x .06

I = 600

Answer:

$600

Step-by-step explanation:

$10,000 x 0.06 = $600

The coefficient matrix is [ 0   3 ; 1   0 ], the variable matrix is [ y ; x ], and the constant matrix is [ -7 ; 2 ] for the given system of equations.

The given system of equations can be written as a matrix equation. Let's represent the system as:

[y = 3x - 7

x = 2]

To write it as a matrix equation, we can arrange the coefficients, variables, and constants in matrices.

Coefficient Matrix:

The coefficient matrix contains the coefficients of the variables in the equations. In this case, we have:

[ 0   3 ]

[ 1   0 ]

Variable Matrix:

The variable matrix contains the variables themselves. In this case, we have:

[ y ]

[ x ]

Constant Matrix:

The constant matrix contains the constants on the right-hand side of the equations. In this case, we have:

[ -7 ]

[  2 ]

Putting it all together, the matrix equation for the given system is:

Coefficient Matrix * Variable Matrix = Constant Matrix

[ 0   3 ]  [ y ]   [ -7 ]

[ 1   0 ]  [ x ] = [  2 ]

Therefore, the coefficient matrix is [ 0   3 ; 1   0 ], the variable matrix is [ y ; x ], and the constant matrix is [ -7 ; 2 ] for the given system of equations.

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Answer:

Step-by-step explanation:

Answer:

y=5/2 .   *the question doesn't specify a y-intercept for the perpendicular line so just leave it as if it passes through 0.

Step-by-step explanation:

First, you isolate y to put the line in slope intercept form. Then, you take the slope and find the reciprocal(-5/2) then flip the sign giving you a slope of 5/2.

Answer:

The area of a rectangle is the length multiplied by the width, so the width can be any factor of 20.

1, 2, 4, 5, 10 or 20

The four adjacent square numbers with a diagonal sum of 45 are 2^2, 3^2, 4^2, and 5^2, which are 4, 9, 16, and 25.

To find the four adjacent square numbers with a diagonal sum of 161, we can start by considering the square numbers. Let's call the four numbers x^2, (x+1)^2, (x+2)^2, and (x+3)^2. The diagonal sum can be expressed as: x^2 + (x+1)^2 + (x+2)^2 + (x+3)^2 = 161. Simplifying the equation: x^2 + (x^2 + 2x + 1) + (x^2 + 4x + 4) + (x^2 + 6x + 9) = 161; 4x^2 + 12x + 14 = 161; 4x^2 + 12x - 147 = 0. Using the quadratic formula, we can solve for x: x = (-12 ± √(12^2 - 44(-147))) / (2*4); x = (-12 ± √(144 + 2352)) / 8; x = (-12 ± √2496) / 8

x = (-12 ± 49.96) / 8.  Solving for x, we have two possible solutions: x = 4 or x ≈ -9.496. Since we are looking for positive square numbers, we can discard the negative solution. Therefore, the four adjacent square numbers with a diagonal sum of 161 are 4^2, 5^2, 6^2, and 7^2, which are 16, 25, 36, and 49.

To find the four adjacent square numbers with a diagonal sum of 45, we can follow the same approach. The equation would be: x^2 + (x+1)^2 + (x+2)^2 + (x+3)^2 = 45. Simplifying this equation and solving for x, we find that x = 2. Therefore, the four adjacent square numbers with a diagonal sum of 45 are 2^2, 3^2, 4^2, and 5^2, which are 4, 9, 16, and 25. To find three adjacent vertical numbers that add up to 156, we need more information about the arrangement of the numbers. Please provide additional details or context about the arrangement of the numbers so that we can solve the problem accurately.

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Carson Kelly is expected to hit approximately 31 home runs in 2024.

To find how many home runs Carson Kelly is expected to hit in 2024, we can use the formula for compound interest, where the initial amount is the number of home runs he hit in 2019, and the interest rate is the expected growth rate of his home run hitting ability, which is 12 percent or 0.12 as a decimal.

Let H be the number of home runs hit in 2019, and H(n) be the number of home runs hit in year n, then we can write:

H(n) = H * (1 + r)^n

Where r is the growth rate, and n is the number of years into the future.

If we plug in the given values, we can find the number of home runs Carson Kelly is expected to hit in 2024, which is 5 years after 2019.

H = 18 (number of home runs in 2019)

r = 0.12 (growth rate)

n = 5 (number of years into the future)

H(5) = 18 * (1 + 0.12)^5

H(5) = 18 * 1.7623

H(5) = 31.9214

It's important to note that this is simply an estimate based on the given growth rate, and the actual number of home runs he hits in 2024 may vary based on many factors, including injuries, team support, and the skill of opposing pitchers, among others.

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