What is the radius of the circle with the following equation (x+1)²+ (y-3)²= 64? *

Answer:

  d.  ZW

Step-by-step explanation:

Corresponding vertices are in the same order in the names of the quadrilaterals. That is P corresponds to Z; Q corresponds to W.

  PQ ≅ ZW

When Quadrilateral PQRS is transformed by rotation and translation to form Quadrilateral ZWXY, the lengths of corresponding segments remain the same. Thus, the length of segment PQ is the same as segment ZW.

In the realm of geometry, a rotation or translation doesn't change the size or length of a shape, only its position and orientation. Therefore, when Quadrilateral PQRS is rotated 90° counterclockwise about the origin and then translated 6 units to the right to form Quadrilateral ZWXY, all corresponding segments would still have the same lengths. Corresponding segments are those that have the same relative positions before and after the transformation. So, in this case, segment ZW has the same length as segment PQ because they are corresponding segments from the original quadrilateral and the transformed quadrilateral, respectively. Therefore, the answer is d. ZW.

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Answer:

The percentage of almonds that have been collected is 35%.

Step-by-step explanation:

The question is:

In an orchard, 20% of the kilos of fruit collected are lemons, 15% are pears, 30% are walnuts and the rest are almonds. a) What is the percentage of almonds that have been collected? b) If a total of 140 kilos have been collected, how many kilos have been collected from each fruit or nut?

Solution:

Consider that the percentage of all the fruits and nuts together in a orchard is 100%.

Percentage of lemons = L% = 20%

Percentage of pears = P% = 15%

Percentage of walnuts = W% = 30%

Percentage of almonds= A%

Compute the percentage of almonds that have been collected as follows:

L% + P% + W% + A% = 100%

20% + 15% + 30% + A% = 100%

A% = 100% - 65%

A% = 35%

Thus, the percentage of almonds that have been collected is 35%.

The total weight of products collected is 140 kg.

Compute the weight of lemons collected as follows:

[tex]\text{Weight of lemons}=140\times 20\%=28\ \text{kg}[/tex]

Compute the weight of pears collected as follows:

[tex]\text{Weight of pears}=140\times 15\%=21\ \text{kg}[/tex]

Compute the weight of walnuts collected as follows:

[tex]\text{Weight of walnuts}=140\times 30\%=42\ \text{kg}[/tex]

Compute the weight of almonds collected as follows:

[tex]\text{Weight of almonds}=140\times 35\%=49\ \text{kg}[/tex]

Answer:

It is discovery verbs

Step-by-step explanation:

Answer: Organized contests

Step-by-step explanation:

When you go to a tournament or a pageant, it’s most likely an organized event.

Answer:

3

Step-by-step explanation:

Answer:

1289780

Step-by-step explanation:

Answer:

V≈184.31

Step-by-step explanation:

V=πr2h

3=π·42·11

3≈184.30677

Answer:

184.31

Step-by-step explanation:

volume= pie time radius cubed time the height thats divided by 3

Answer:

Step-by-step explanation:

i don't know but i'll help u a little put the dots together for the first one then do it for the rest sorry if i didn't help u

Answer:

Gradient is -2/3 and y-intercept is -5/3.

Step-by-step explanation:

First, you have to make y the subject by moving all the unrelated terms to the other side :

[tex]3y + 2x + 5 = 0[/tex]

[tex]3y = - 2x - 5[/tex]

[tex]y = - \frac{ 2}{3} x - \frac{5}{3} [/tex]

Next, given that the slope-form equation is, y = mx+b where m is the gradient and b is the y-intercept. (*In a slope-form equation, gradient will always stick with x)

In the equation above, m is -2/3 and b is -5/3.

Answer:

B. 330 square units

Step-by-step explanation:

[tex] \frac{1}{2} \times11 \times 4 \times 15 \\ = 11 \times 2 \times 15 \\ = 330 \: square \: units[/tex]

Answer: Option B.

Step-by-step explanation:

We want to find the value of i^51

We know that

i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1

and it repeats with a period of 4, so i^5 = i^(1 + 4) = i^1= i, and so on.

so we can write it as:

x + n*4 = 51

where n is an integer number, and x is a number between 1 and 4.

clearly  n must be an odd number, so we can try:

if x = 1.

1 + n*4 = 51

n*4 = 50

n = 50/4 = 12.5

This is not the solution for x, because n must be an integer number.

Now suppose x = 3.

3 + 4*n = 51

4*n = 48

n = 48/4 = 12

Then x is equal to 3, this means that:

i^51 = i^3*i^4*12 = i^3 = -i

The correct option is B

Answer:

-4

Step-by-step explanation:

(x + -4) (28-7)

Answer: -4

Step-by-step explanation:

bc math

Answer:

[tex]2(3x+5)+5(2x+2)[/tex]

[tex]6x+10+5\left(2x+2\right)[/tex]

[tex]6x+10+10x+10[/tex]

[tex]16x+20[/tex]

[tex]8(3x+2)+7(x+3)[/tex]

[tex]24x+16+7x+21[/tex]

[tex]31x+37[/tex]

Answer:

The value of x is 7 and value of y is 45

Step-by-step explanation:

In ΔXYZ

∠X = 50°, ∠Y=30°

To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)

So,∠X + ∠Y + ∠Z = 180°

So,50°+30°+ ∠Z = 180°

∠Z=180°-80°

∠Z=100°

Now we are given that ΔXYZ ≅ΔFED

So, the corresponding sides are equal and the corresponding angles are equal.

So, ∠Z= ∠D

So, 100=2y+10

100-10=2y

90=2y

45=y

Now XY = EF

So, 9 = 3x-12

21=3x

7=x

Hence The value of x is 7 and value of y is 45

Answer:

x = -7/3y + 8/3

y = -3/7x + 8/7

Step-by-step explanation:

First, set the equations next to each other to find x and y, I'll start with x:

x + 3y + 2x + 4y = 8

Combine like terms

3x + 7y = 8

Subtract both sides by 7y

3x + 7y - 7y = 8 - 7y

3x = 8 - 7y

I'll re-order the equation to make it easier to divide

3x = -7y + 8

Divide both sides by 3

3x / 3 = -7y + 8 /3

x = -7/3y + 8/3

If you need decimals just divide with a calculator

Now to find y:

We already combined like terms so we don't need to do that again...

3x + 7y = 8

Subtract both sides by 3x

3x - 3x + 7y = 8 - 3x

7y = 8 - 3x

I'll reorder the equation once again so the variable comes first

7y = -3x + 8

Divide both sides by 7

7y / 7 = -3x + 8 / 7

y = -3/7x + 8/7

Again, use a calculator to divide completely for decimals.

Final answer:

The unit rate for meat priced at $32 for 8 pounds is $4 per pound. This method of calculation is important in retail settings, such as butcher shops, where items need to be labeled with the correct price per unit.

Explanation:

The unit rate is calculated by dividing the total price by the number of pounds of meat to determine the price per pound. For $32 and 8lbs of meat, the calculation is $32 ÷ 8lbs, which equals $4 per pound.

This price is a simplified example of how goods are priced on a per unit basis. For instance, if we were discussing the price of fish, the price per pound at an equilibrium quantity may be $3.25 per pound, which is specific to the commercial market.

Real-world Application

Grocery pricing often includes bulk pricing, discounts, or access fees, and the final cost consumers pay can be represented in various unit rates, like $xx.xx/unit in some cases. It’s important for workers in retail settings, such as at a butcher shop or grocery, to understand these concepts to label and price items accordingly.

Answer:

Subtract the two diameters and multiply by 0.5

Step-by-step explanation:

Calculating the Radius of the hole gives distance to the inner edges WHILE the Radius of the coin gives us the distance to the outer edges.

By subtracting the output we can then get the difference between both distances.

If hole diameter = 5mm and coin diameter = 22mm

Difference = [(22 - 5)mm] ÷ 2

17mm / 2 = 8.5mm

Answer:

Subtract the two diameters and multiply by 0.5

Step-by-step explanation:

Calculating the Radius of the hole gives distance to the inner edges WHILE the Radius of the coin gives us the distance to the outer edges.

By subtracting the output we can then get the difference between both distances.

If hole diameter = 5mm and coin diameter = 22mm

Difference = [(22 - 5)mm] ÷ 2

17mm / 2 = 8.5mm

Step-by-step explanation:

Answer:

It's equal to 0.4999238476

The value of Cos⁻¹(1/2) is π/3 radians or 60 degrees

To solve this:
Cosine function is positive in the first and fourth quadrants.
Cos(60°) = 1/2.
Cos⁻¹(1/2) = 60°.
In radians, this angle is π/3.

Therefore, the value of Cos⁻¹(1/2) is π/3 radians (or 60 degrees).

Answer:

2 (c)

Step-by-step explanation:

The rate of change between 3 and 6 is 2 option (C) 2 is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

A graph of a parabola is shown in the table:

The rate of change between 3 and 6:

= (4 - (-2))/(6-3)

= (4 + 2)/(3)

= 6/3

= 2

Thus, the rate of change between 3 and 6 is 2 option (C) 2 is correct.

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Answer:

Yes, he can.

Step-by-step explanation:

Harper has two cans of paint that he would like to combine into one can.

One can contains 6.11 ounces and the other can contains 22.7 ounces.

The total quantity of paint he has is:

6.11 + 22.7 = 28.81 ounces

Since 28.81 ounces is lesser than 29 ounces, he can put both cans of paint into the 29 ounce can of paint.

Answer:

x=0

x=5/2

Step-by-step explanation:

6x^2-15x=0

x(6x-15)=0

Answer: the correct answer is 8

Answer:

251 arrangement

Step-by-step explanation:

To know how many arrangements must be prepared in total, each amount of individual arrangement must be added, that is:

120 arrangement + 85 arrangement + 46 arrangement = 251 arrangement

Which means that for that weekend you have to prepare a total of 251 arrangements

In order to find out how many flower arrangements need to be prepared for the three weddings, simply add up all the ordered arrangements for each wedding. The total amounts to 251 flower arrangements.

This question is related to the subject of Mathematics, specifically focused on the topic of addition. In this scenario, you are working for a florist and have been tasked with preparing flower arrangements for three weddings. Each wedding has ordered a specific number of arrangements: 120, 85, and 46.

To understand how many flower arrangements you need to prepare in total, you need to add all the numbers given: 120 + 85 + 46. The total number of arrangements you will need to prepare is 251 flower arrangements.

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Answer: THe slope is 2 and y intercept is -3

Step-by-step explanation:

Answer:

Slope: 2

Y-intercept: -3

Step-by-step explanation:

The line is in point-slope form, or

y=mx+b

where m is the slope, and b is the y intercept

If we compare the 2 equations:

y=2x-3

y=mx+b

We can tell that the slope is 2, and the y-intercept is -3

Answer:

If circumference = 25, then 90 degrees (one quarter of a circle) = 25 / 4 = 6.25 meters.

Step-by-step explanation:

Answer:

The Answer is B

Step-by-step explanation:

Answer:

-4   and  -9

Step-by-step explanation:

Let us use variables.

Let x = 5 + y

and  x + y = -13

Now we can solve this problem.

x + y = -13

(5 + y) + y = -13

5 + 2y = -13

2y = -13 - 5

2y = -18

y =  -9

x = 5 + -9

x = -4

The value of two integers are -4 and -9.

A system of equations is a collection of two or more equations with a same set of unknowns. For a system to have a unique solution, the number of equations must equal the number of unknowns.

For the given situation,

Let x and y be the two integers.

The equations are

One integer is 5 more than another integer,

[tex]x = y+5[/tex] --------- (1)

Their sum is -13,

[tex]x+y = -13[/tex] ------- (2)

Now substitute the x value of equation 1 in equation 2,

⇒ [tex](y+5)+y=-13[/tex]

⇒ [tex]2y=-13-5\\[/tex]

⇒ [tex]y=\frac{-18}{2}[/tex]

⇒ [tex]y=-9[/tex]

Now  substitute the y value of equation 1,

⇒ [tex]x=-9+5[/tex]

⇒ [tex]x=-4[/tex]

Hence we can conclude that the value of two integers are -4 and -9.

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The true statements regarding correlation coefficients are explained.

The statement that are true regarding correlation coefficients are:

Correlation coefficients must be between -1 and 1, with -1 indicating a perfect negative correlation, 1 indicating a perfect positive correlation, and 0 indicating no correlation.

Answer:

I will say 90 degrees right angle. Have a great day.

Step-by-step explanation:

Answer:

B 5x = 25

Step-by-step explanation:

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