What is the image of (9,-7) after a reflection over the y-axis?

Answer:

1.5+1.2=2.7

2.7÷2=1.35

1.35=dad's height

1.35-0.1=1.25 mothers height

2.6 combined height of mother and father

b) more than half

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

Step-by-step explanation:

17x - 4y = -10  -- equation 1

3x - 4y = -2 --equation 2

equation 1 - equation 2

14x = -8

x= -8/14 -- equation 3

equation 3 into equation 2

3 * (-8/14) - 4y = -2

-4y = -2 + (24/14)

-4y = -4/14

-4y = -2/7

y = 2/28

So x = -8/14 and y = 2/28

Hope that helps!

The integral of 4x(2x² + 1)⁷ dx is (2x² + 1)⁸ / 16 + C, where C is the constant of integration. To evaluate the integral ∫4x(2x² + 1)⁷ dx using u-substitution, we'll start by assigning u = 2x² + 1.

Let's differentiate u with respect to x to find du/dx:

du/dx = d/dx(2x² + 1)

du/dx = 4x

We can solve this equation for dx:

dx = du / (4x)

Now let's rewrite the integral in terms of u:

∫4x(2x² + 1)⁷ dx = ∫4x(u)⁷ dx

= ∫4(u-1)(u)⁷ (du / (4x))

= ∫(u)⁷ (u-1) du

Now we can simplify the integral using the substitution u = 2x² + 1:

∫(u)⁷ (u-1) du = ∫(2x² + 1)⁷ ((2x² + 1) - 1) du

= ∫(2x² + 1)⁷ (2x²) du

= 2 ∫(2x² + 1)⁷ (x²) du

Now we have the integral in terms of u and du. We can proceed to evaluate it by integrating with respect to u and then substituting back x for u:

= 2 ∫u⁷ (x²) du

= 2 ∫u⁷ (1/2) du (since x² = (u - 1) / 2)

= (1/2) ∫u⁷ du

= (1/2) * (\(u^8\) / 8) + C

= (\(u^8\)  / 16) + C

Finally, substituting u back in terms of x:

= (2x² + 1)⁸ / 16 + C

So, the integral of 4x(2x² + 1)⁷ dx is (2x² + 1)⁸ / 16 + C, where C is the constant of integration.

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The area of this circle is equal to 49π square meters.

Mathematically, the circumference of a circle can be calculated by using this formula:

C = 2πr

Where:

Next, we would determine the radius of this circle as follows:

Radius, r = C/2π

Substituting the given parameters into the formula, we have;

Radius, r = 14π/2π

Radius, r = 7 meters.

Mathematically, the area of a circle can be calculated by using this formula:

Area = πr²

Area = π × 7²

Area = π × 49

Area = 49π square meters.

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Each time X increases, there is a perfectly predictable increase in Y  is indicated by a Pearson correlation of r= +1.00 between X and Y

A Pearson correlation coefficient of +1.00 indicates a perfect positive linear relationship between the variables X and Y. It means that as X increases, Y increases in a perfectly predictable manner. The correlation coefficient of +1.00 indicates a strong and direct relationship between the two variables, where the values of Y can be precisely determined based on the values of X.

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Answer:To prove the relationship about the length of a midsegment, I can use the properties of parallel lines and transversals. If I draw at least two midsegments, I see that they form congruent triangles within the original triangle, ∆ABC. I can prove the congruence of these triangles using triangle congruence criterion, and then use properties of congruent triangles and the Transitive Property to show that the length of the midsegment is half the length of the side it is parallel to.

Step-by-step explanation:

Answer: The first one is a. the second is b. The third is c and the fourth is d. All of the answers are correct

Step-by-step explanation:

The acute angle between the two planes 8x - y + z - 4 - 0 = 0 and 3x + 6y - z + 1 = 0 is approximately 56.68°.

The process of finding the acute angle between two planes involves the following steps:

Find the normal vectors of the two planes using their coefficients. Take the dot product of the two normal vectors to get the cosine of the angle between them.

Find the magnitude of each normal vector. Use the dot product formula to solve for the angle between the two planes in radians or degrees.

To determine the acute angle between the two planes, we need to find the dot product of their normal vectors. The normal vector of the first plane is (8, -1, 1), while the normal vector of the second plane is (3, 6, -1). The dot product of these two vectors is:

= (8, -1, 1) · (3, 6, -1)

= (8 × 3) + (-1 × 6) + (1 × -1)

= 24 - 6 - 1

= 17

Next, we need to find the magnitude of each normal vector. The magnitude of the normal vector of the first plane is: = =√(8² + (-1)² + 1²)

= √66

The magnitude of the normal vector of the second plane is:

= √(3² + 6² + (-1)²)

= √46

Finally, we can use the dot product formula to find the acute angle θ between the two planes:

cos θ = (normal vector 1) · (normal vector 2) / (magnitude of normal vector 1) × (magnitude of normal vector 2)

cos θ  = 17 / (√66 × √46)

cos θ ≈ 0.5448θ

     θ ≈ 56.68°

Therefore, the acute angle between the two planes 8x - y + z - 4 - 0 = 0 and 3x + 6y - z + 1 = 0 is approximately 56.68°.

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To sketch the vector v = -9i - 8j as a position vector, we start at the origin (0, 0) and move in the direction of the vector. The magnitude of the given position vector is 12.04 units.

First, draw a horizontal line segment of length 9 units in the negative x-direction (-i) from the origin.

Next, draw a vertical line segment of length 8 units in the negative y-direction (-j) from the endpoint of the previous line segment.

The resulting position vector starts at the origin and ends at the point (-9, -8) in the Cartesian coordinate system.

To find the magnitude (or length) of the vector v, we can use the Pythagorean theorem. The magnitude of a vector v = xi + yj in two dimensions is given by

|v| = √(x² + y²)

For v = -9i - 8j, the magnitude is

|v| = √((-9)² + (-8)²)

= √(81 + 64)

= √(145)

≈ 12.04

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Answer:

measure the area inside of the shapes, and multiply it. online answers better than me sorry.

Step-by-step explanation:

Answer: Ask teacher

Step-by-step explanation:

Answer:

40*8.5=340

6*90=540

total=880/2.5=352bags

Answer: No because 7^2 + 12^2 doesn’t equal 14^2

Step-by-step explanation:

7^2 + 12^2 equals 193. But 14^2 = 196 so the answer is no.

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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Answer:

35

Step-by-step explanation:

There 3 sides of a triangle.There are three corners called verticals in a triangle.So you will need to add 62+45=107.The you need to divide.107/3=35.

Hope this helps you

Answer:

{3,4,5,7,9,10,13,17}

Step-by-step explanation:

The U means union and that means join sets A and B together

A U B

{3,4,5,7,9,10,13,17}

Answer:

To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x      y

0     6

24    0

Points are (0,6) and (24,0)

Answer:

that what i got

Step-by-step explanation:

Assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

The current in the secondary coil is dependent on the voltage ratio of the primary and secondary coils. If the voltage ratio of the coils is the same as the turns ratio, then the current in the secondary coil will be identical to that in the primary coil. Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

The current in the secondary coil is determined by the voltage ratio of the primary and secondary coils. The voltage ratio is equal to the turns ratio, which is the ratio of the number of turns in the secondary coil to the number of turns in the primary coil. In an ideal transformer with 100% efficiency, the power output in the secondary coil will be equal to the power input in the primary coil. Since power is equal to voltage multiplied by current, and the voltage ratio is equal to the turns ratio, the current in the secondary coil will be the same as the current in the primary coil.

Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

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Answer:

16.5

Step-by-step explanation:

5 ft every 2 seconds= 2.5 ft per second 3 seconds= 7.5ft

24-7.5=16.5

Answer:

102

Step-by-step explanation:

Answer:

there is no remainder

Step-by-step explanation:

Its better to choose the simple random samples, if the defect is in every other cake, a systematic random sample could miss it completely depending on what Sergio chooses for k.

Here he is  taking a random sample of cakes to get a better idea of how many cakes might have this defect.

The random sample is defined as the method of choose a sample from the group of sample and each of the sample has same probability of being chosen

The systematic sample is the method of choosing the sample from the group of sample with a periodic interval.

Here Sergio noticed a potential defect that seems to be showing in every other cake, so there will be chance of missing the defect completely

Hence, to choose the defect items, the simple random sample is better than systematic random sample.

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Answer:

1. M= 4

P= 12

2. g=3

k=3

3. b=40

Step-by-step explanation:

You relate the expression and look for the equivalent

Answer:

Here, given

Step-by-step explanation:

Answer:

\(y=-5x+2\)

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

\(m=\frac{y_2-y_1}{x_2-x_1}\) where two points that the line passes through are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (1,-3) and (-3,17)

\(=\frac{17-(-3)}{-3-1}\\=\frac{17+3}{-3-1}\\=\frac{20}{-4}\\=-5\)

Therefore the slope of the line is -5. Plug this into \(y=mx+b\):

\(y=-5x+b\)

2) Determine the y-intercept (b)

\(y=-5x+b\)

Plug in one of the given points and solve for b

\(-3=-5(1)+b\\-3=-5+b\)

Add 5 to both sides of the equation to isolate b

\(-3+5=-5+b+5\\2=b\)

Therefore, the y-intercept of the equation is 2. Plug this back into \(y=-5x+b\):

\(y=-5x+2\)

I hope this helps!

A polygon is called non-convex if there are "dents" or indentations in it, where the internal angle is greater than 180 degrees.

In other words, a non-convex polygon is a polygon whose line segments intersect, creating an interior angle greater than 180 degrees. This is in contrast to a convex polygon, where all of the interior angles are less than 180 degrees and none of the line segments intersect.

Non-convex polygons can have a variety of shapes and sizes, and can be composed of any number of sides. However, they are generally more difficult to work with mathematically than convex polygons, and often require more advanced techniques to analyze and understand their properties.

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Answer:

(-4, -1)

Step-by-step explanation:

The midpoint formula is [ (x1+x2/2,y1+y2/2) ]

(-1+(-7)/2, 2+(-4)/2)

(-8/2, -2/2)

(-4, -1)

Best of Luck!