Answer and steps I you can

Answer:

it would be 10.

Step-by-step explanation:

you have to reflect the quadrilateral to Q over x-axis then the Y-axis, and you would see that 10 is on the same side of ST.

Answer:

y = 161 [tex]\frac{1}{2\\}[/tex]

Step-by-step explanation:

You can make this more visually understandable first:

y =  25   =  ?  

x  =  3/4   = 4 [tex]\frac{7}{8}[/tex]

The change from 3/4 to 4 7/8 is 13/2, so the change between 25 and ? must be 13/2 as well.

25 * 13/2 = 325/2

                = 162 1/2

The minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

In order to find the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board, we need to calculate the time taken by each method and then compare it. Let's say the minimum number of carrots is x.

Here's how we can calculate the time taken to chop x carrots:

Time taken using knife and cutting board = 45x + 25 (25 is added for the time taken to clean the knife and board)

Time taken using food processor = 12x + 360 (360 is added for the time taken to clean the food processor)

Now, we need to find the value of x for which the time taken using the food processor is less than the time taken using the knife and cutting board.

So,12x + 360 < 45x + 2512x - 45x < 25 - 360-33x < -335x > 10.15

Therefore, the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

Thus, the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

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Answer:

B

Step-by-step explanation:

[tex]\leq[/tex] means everything to the left of, and also everything on the line since it's equal to as well, so B is the correct answer

The scale is 1 inch to 200 feet, theta means if the length of a line segment on the map is 1 inch than the actual length on the ground is 200 feet and vice versa.

i.e. if the actual length on the ground is 200 feet than the scaled length on the map is 1 inch.

So, by using the elementary method, if the actual length on the ground is 1 foot than the scaled length on the map is [tex]\frac{1}{200}[/tex] inch.

Here, on the map, the side of the square park is 1 foot=12 inch.

So, the actual length of each of the sides of the park is

[tex]12\times 200=2400[/tex] feet.

In another case, the actual length of the straight path in the park is 900 feet.

So, the scaled length on the map is

[tex]900\times \frac{1}{200}=4.5[/tex] inch.

Hence, 900 feet long straight path will be represented by 4.5 inch line segment on the map.

It's given to prove that, for every positive integer n, there exist two regular polygons with the property that the ratio of the measure of an interior angle of one of the polygons to the measure of an interior n + 1 angle of the other equals n + 1/ n.

We know that for a regular polygon with n sides, the measure of each interior angle is given by:

(n-2)×180°/n

That is to say, each interior angle of a regular polygon with n sides is equal to (n-2)×180/n degrees.

Suppose P and Q are two regular polygons with P having n sides and Q having n+1 sides. Then, measure of each interior angle of polygon P is given by: (n-2)×180/n degrees

Similarly, the measure of each interior angle of polygon Q is given by: (n-1)×180/(n+1) degrees

Thus, the ratio of the measure of an interior angle of one of the polygons (say P) to the measure of an interior n+1 angle of the other (say Q) is given by:

(n-2)×180/n ÷ (n-1)×180/(n+1) = (n+1)/n

Therefore, we can conclude that for every positive integer n, there exist two regular polygons with the property that the ratio of the measure of an interior angle of one of the polygons to the measure of an interior n+1 angle of the other equals n+1/n.

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The total surface area of the right trapezoidal prism is 536 square feet. Therefore, the approximate surface area of sphere is 1,256.6 square inches. The surface area of  right trapezoidal prism is 1,485 square feet.

Surface area of the sphere:

The formula for the surface area of a sphere is given by A = 4πr², where r is the radius of the sphere. Substituting the given radius of 10 inches, we have A = 4π(10)² = 400π square inches. The exact value is 400π square inches. To approximate it to the nearest tenth we can use the value of π as approximately 3.14159. Therefore, the approximate surface area is 400π ≈ 400(3.14159) = 1,256.6 square inches.

Surface area of the right trapezoidal prism:

The total surface area of a right trapezoidal prism can be calculated by adding the areas of all its faces. The formula is A = 2h(b₁ + b₂) + (b₁ + b₂)(x + y), where h is the height of the prism, b₁ and b₂ are the lengths of the parallel bases, and x and y are the lengths of the non-parallel sides.

Substituting the given dimensions, we have A = 2(16)(16 + 11) + (16 + 11)(12 + 11) = 2(27)(16) + (27)(23) = 864 + 621 = 1,485 square feet.

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Answer:

7n - 6 = -20

Step-by-step explanation:

Answer:24

Step-by-step explanation:

3 times 8 is 24

Answer:

24°F

Step-by-step explanation:

It's pretty simple. All you need to know is simple math.

First of all take away the °F. Then do the multiplcation.

3 x 8 = 24

Then add the °F  back and that's your answer.

12.1 To prove that for a linear transformation T from vector space V to vector space W, T(-v) = -T(v) for any vector v in V.

12.2 To show that the function T: M22 → M22 defined by T(A) = A + AT is a linear transformation.

12.1 Let T be a linear transformation from vector space V to vector space W. We need to prove that T(-v) = -T(v) for any vector v in V.

To do this, we consider the properties of a linear transformation.

First, we know that T(0) = 0, where 0 is the zero vector in V and W.

Now, let's consider T(v) + T(-v). Using the linearity property of T, we have T(v) + T(-v) = T(v + (-v)) = T(0) = 0.

Since T(v) + T(-v) = 0, it follows that T(-v) = -T(v), which proves the desired result.

12.2 We are given the function T: M22 → M22 defined by T(A) = A + AT, where A is a 2x2 matrix.

To show that T is a linear transformation, we need to verify two properties:

Additivity: T(A + B) = T(A) + T(B) for any matrices A and B in M22.

Homogeneity: T(kA) = kT(A) for any scalar k and matrix A in M22.

For the additivity property, we have T(A + B) = (A + B) + (A + B)T. By expanding this expression, we get T(A + B) = A + B + AT + BT.

Similarly, T(A) + T(B) = A + AT + B + BT. It is evident that T(A + B) = T(A) + T(B), satisfying the additivity property.

For the homogeneity property, we have T(kA) = kA + (kA)T = kA + kAT.

Similarly, kT(A) = k(A + AT) = kA + kAT. It is clear that T(kA) = kT(A), fulfilling the homogeneity property.

Since the function T satisfies both the additivity and homogeneity properties, we conclude that T is a linear transformation.

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Answer:

36 is answer

Step-by-step explanation:

A cube has 6 sides.

216÷6=36

so therefore one side is 36 cubic inches

[tex]\tt Step-by-step~explanation:[/tex]

[tex]\tt Step~1:[/tex]

Let's solve for one side first. The equation to solve for one side with only the volume provided is V ^ 1/3.

[tex]\tt 216^{\frac{1}{3}} \\216^{\frac{1}{3}} =6[/tex]

One side of the cube is 6, so that means all sides of the cube is equal to 6.

[tex]\tt Step~2:[/tex]

To find the area of one side of the cube, we take one side and multiply it by itself, since the formula for solving for the area is length • width.

[tex]\tt 6*6=36[/tex]

[tex]\large\boxed{\tt Our~final~answer:Area~of~one~side=36~in.^2}[/tex]

To check our answer, we can multiply 36 by 6 and see if it equals to 216.

[tex]\tt 36*6=216=correct[/tex]

Answer:

0

Step-by-step explanation:

7x - 4 = -4

add 4 to both sides

7x = 0

x = 0

Answer:

x = 0

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 4 to both sides of the equation:

7x - 4 (+4) = -4 (+4)

7x = -4 + 4

7x = 0

Next, divide 7 from both sides of the equation:

(7x)/7 = (0)/7

x = 0/7

x = 0

0 is your answer.

~

Answer: C. 13/24 i hope it help you out

Answer:

A [2.5, ∞)

Step-by-step explanation:

Answer:

A, 1st option

Step-by-step explanation:

Answer:

The horizontal line on a graph.

Step-by-step explanation:

Answer:

The horizontal value in a pair of coordinates: how far along the point is.

The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5).

I hope this help you out

Answer:

C because ≤ means less than or equal to.

Answer:

57.5 meters per second

distance÷time= speed

Answer:

The correct option is;

[2.5, ∞)

Step-by-step explanation:

The given exponential equation can be expressed as follows;

10,000 × 4ˣ ≥ 320,000

Therefore we have;

4ˣ ≥ 320,000/10,000

4ˣ ≥ 32

㏒(4ˣ) ≥ ㏒(32)

x·㏒4 ≥ ㏒(32)

x ≥ ㏒(32)/㏒4

∴ x ≥ 2.5

Therefore, the interval the colony will have at least 320,000 bacteria is where x ≥ 2.5 or 2.5 ≤ x < ∞ which gives, the interval  [2.5, ∞)

Answer:

[2.5, infinity) - A

Step-by-step explanation:

EDGE2020

Answer:

Sadie's family car is more fuel efficient.

Step-by-step explanation:

Given;

Sadie's family car rating, S = 42 miles per gallon

Nanette's family car rating, N = 6 liters per 100 km

Sadie's family car rating, in liters per 100 km

[tex]= \frac{42 \ miles}{gallon} *\frac{1.609 \ km}{1 \ mile}*\frac{1 \ gallon}{3.79 \ liters} \\\\ = (\frac{42*1.609}{3.79} )\frac{km}{liter}\\\\ = (\frac{3.79}{42*1.609} )\frac{liter}{km}\\\\=(\frac{3.79}{42*1.609} )(\frac{100}{100}) \frac{liter}{km}\\\\= (\frac{3.79*100}{42*1.609} )(\frac{1}{100}) \frac{liter}{km}\\\\= (\frac{3.79*100}{42*1.609} ) \frac{liter}{100\ km}\\\\= 5.61 (\frac{liter}{100\ km})\\\\= \frac{5.61 \ liters}{100 \ km}[/tex]

Also, Nanette's family car rating, in liters per 100 km = 6 liters / 100km.

Thus, Sadie's family car uses lesser fuel, because of this Sadie's family car is more fuel efficient.

Answer:

15c = m

Step-by-step explanation:

for every car she washes she learns 15 dollars. So you would multiply the number of cars she washes by 15 to get the amount she earns

Answer:

-3

Step-by-step explanation:

All you have to do is graph it... and to get from negative one to negative four you add -3   so -3 would be my best guess... if this a multiple choice and -3 is not on there then do -4 as the answer.

Answer:

The average yearly change in the value of the card is $15 every year.

Step-by-step explanation:

Average Change

The change in the value of the baseball card bought by Connor was $120 in 8 years.

The average yearly change in value is calculated as:

Avg Change=$120 / 8 years = 15 $/yr

The average yearly change in the value of the card is $15 every year.

a. R3 = {(a, a), (a, b), (a, c), (a, d), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c), (d, a), (d, b), (d, d)}.

b. S3 = {(a, a), (a, c), (a, d), (b, a), (b, c), (b, d), (d, a), (d, c)}.

c. R ∪ S = {(a, b), (a, d), (a, c), (b, c), (c, c), (d, a), (b, d)}

d. S - R = {(a, c), (b, d)}

To find the given operations on relations R and S, let's start with the definitions of each operation:

a. R3: This represents the composition of relation R with itself three times.

To find R3, we need to perform the composition operation on R three times:

R3 = R ∘ R ∘ R

Calculating R ∘ R:

R ∘ R = {(a, c), (a, a), (b, a), (c, c), (d, b), (d, d)}

Now, let's calculate R ∘ R ∘ R:

R ∘ R ∘ R = R ∘ (R ∘ R)

= R ∘ {(a, c), (a, a), (b, a), (c, c), (d, b), (d, d)}

= {(a, a), (a, b), (a, c), (a, d), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c), (d, a), (d, b), (d, d)}

Therefore, R3 = {(a, a), (a, b), (a, c), (a, d), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c), (d, a), (d, b), (d, d)}.

b. $3: This represents the composition of relation S with itself three times.

To find S3, we need to perform the composition operation on S three times:

S3 = S ∘ S ∘ S

Calculating S ∘ S:

S ∘ S = {(a, a), (a, d), (b, a), (d, c)}

Now, let's calculate S ∘ S ∘ S:

S ∘ S ∘ S = S ∘ (S ∘ S)

= S ∘ {(a, a), (a, d), (b, a), (d, c)}

= {(a, a), (a, c), (a, d), (b, a), (b, c), (b, d), (d, a), (d, c)}

Therefore, S3 = {(a, a), (a, c), (a, d), (b, a), (b, c), (b, d), (d, a), (d, c)}.

c. R ∪ S: This represents the union of relations R and S.

R ∪ S = {(a, b), (a, d), (a, c), (b, c), (c, c), (d, a), (b, d)}

d. R ∩ S: This represents the intersection of relations R and S.

R ∩ S = {(d, a)}

e. S - R: This represents the set difference of relation S and relation R.

S - R = {(a, c), (b, d)}

Therefore:

a. R3 = {(a, a), (a, b), (a, c), (a, d), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c), (d, a), (d, b), (d, d)}.

b. S3 = {(a, a), (a, c), (a, d), (b, a), (b, c), (b, d), (d, a), (d, c)}.

c. R ∪ S = {(a, b), (a, d), (a, c), (b, c), (c, c), (d, a), (b, d)}

d. S - R = {(a, c), (b, d)}

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Answer:

7!/(4! × 2!× 1!) = 105 ways

The value of x is 125.

The formula for the angle sum property is, S = ( n − 2) × 180°, where 'n' represents the number of sides in the polygon.

The sum of all interior angles is equal to 720 degrees, where each interior angle measures 120 degrees. The sum of all exterior angles is equal to 360 degrees, where each exterior angle measures 60 degrees.

Using angle sum property

120+120+120+100+x+x+10=720

2x+470= 720

2x= 720-470

2x= 250

x=125

hence, the value of x is 125.

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The probability that if from this class, two students are randomly selected that both students will receive an "A" is **0.025**.

There are 25 students in the class who received an "A" on the final exam. The probability that the first student selected will receive an "A" is 25/100 = 0.25.

Once the first student has been selected, there are 24 students remaining. There is still a probability of 24/99 that the second student selected will also receive an "A".

Therefore, the probability that both students selected will receive an "A" is:

```

0.25 * 0.24 = 0.06

```

This can be rounded to **0.025** to the fourth decimal place.

To calculate the probability that two students selected will receive an "A", we can use the following formula:

```

Probability = (Number of desired outcomes)/(Total number of possible outcomes)

```

In this case, the number of desired outcomes is 2, because there are 2 ways to select two students who both received an "A". The total number of possible outcomes is 100C2, which is the number of ways to select 2 students from a group of 100.

We can use the `nCr` function on most graphing calculators to calculate 100C2. The answer is 4950.

Therefore, the probability that two students selected will receive an "A" is:

```

Probability = (2)/(4950) = 0.00040

```

This can be rounded to **0.0004** to the fourth decimal place.

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Answer:

10x

Step-by-step explanation:

To prove that quadrilateral is a parallelogram using the Distance & Slope Formulas D(-5, -6), E(5, 2), F(4, -4), G(-6, -12), follow these steps

:Step 1: Plot the points in a coordinate plane: (D) (-5,-6), (E) (5,2), (F) (4,-4), (G) (-6,-12)

Step 2: Find the distance of all sides using distance formula.

Distance Formula =sqrt((x2 - x1)² + (y2 - y1)²)DE

                              = sqrt((5 - (-5))² + (2 - (-6))²)

                              =sqrt(10²+8²)

                              =sqrt(164)

                              = 2 sqrt(41)EF

                              = sqrt((4 - 5)² + (-4 - 2)²)

                              =sqrt((-1)²+(-6)²)

                              =sqrt(37)FG

                              = sqrt((-6 - 4)² + (-12 - (-4))²)

                              =sqrt((-10)²+(-8)²)

                              = 2sqrt(41)DG

                              = sqrt((-6 - (-5))² + (-12 - (-6))²)

                              =sqrt((-1)²+(-6)²)

                              =sqrt(37)

Since the opposite sides are equal, we can say that DE = FG and DG = EF.

Step 3: Find the slope of all sides using slope formula.

Slope Formula = (y2-y1)/(x2-x1)DE

                         = (2-(-6))/(5-(-5))

                         =8/10=4/5FG

                         = (-12-(-4))/(-6-4)=-8/-10=4/5DG = (-6-(-12))/(-5-(-6))=6/1=6EF = (-4-2)/(4-5)=-6/-1=6

Since opposite sides have the same slope, DE // FG and DG // EF. Therefore, we can conclude that the quadrilateral is a parallelogram.In conclusion, the quadrilateral is a parallelogram because opposite sides are parallel.

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