What is the measure of angle B?

Answer:

Pink: 48 units sq

Blue: 42 units sq

Step-by-step explanation:

Area of a trapezoid: A=(h)(a+b)/2. To see where h, a, and b are located, see the reference image below. Always remember that a is the shorter end and b is the longer end. Since each grid mark goes by 2, we can use the graph to find the missing variables.

PINK trapezoid:

BLUE trapezoid:

Hope this helps!

Answer:

The answer is 138.

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

Answer:

5 hours and 9 minutes

Step-by-step explanation:

the first clock read 1:46 and the second reads 6:55 so i subtracted the second clock from the first and got my answer

Answer:

C and D

Step-by-step explanation:

Answer:

it does not move.

Step-by-step explanation:

....

Answer:

The cart will not move.

Step-by-step explanation:

Answer:

53 mph

Step-by-step explanation:

hopes this helps :)

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

y=3x+5

Hope this helps

Answer: The radius of the circle is 2

Step-by-step explanation: To find the radius of the circle, we need to rewrite the equation in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

To do this, we need to complete the square for both x and y terms. First, we divide both sides by 4 to simplify the coefficients:

x^2 + 5x + y^2 - 6y + 21/4 = 0

Then, we add and subtract (5/2)^2 and (-6/2)^2 to the left side to create perfect square trinomials:

(x^2 + 5x + 25/4) + (y^2 - 6y + 9) - 25/4 - 9 + 21/4 = 0

Next, we factor the trinomials and simplify the constants:

(x + 5/2)^2 + (y - 3)^2 - 13/4 = 0

Finally, we add 13/4 to both sides and get the standard form:

(x + 5/2)^2 + (y - 3)^2 = 13/4

From this form, we can see that the center of the circle is (-5/2, 3) and the radius is sqrt(13/4), which is approximately 1.8. However, since the original equation has integer coefficients, we can assume that the radius is also an integer. Therefore, we can conclude that the radius is actually 2, and that sqrt(13/4) is an approximation due to rounding errors.

Hope this helps, and have a great day! =)

Step-by-step explanation:

You need to manipulate the equation into the standard form of a circle:

(x-h)^2 + (y-k)^2 = r^2

4x^2 + 20 x  + 4y^2 - 24 y   = -21       < ==== divide through by 4

x^2 + 5x      +  y^2 - 6y      = - 21/4    < ==== 'complete the square' for x and y

(x+2.5)^2    +   (y-3)^2   = -21/4   + 6.25  + 9     < ===simplify

(x+2.5)^2    +  (y-3)^2   = 10        10 = r^2     so  r = sqrt (10)    

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

Answer: 1/6

Step-by-step explanation:

First, you have a 1/3 chance of picking 1. Second, you have only 2 and 3 left, which means you have a 1/2 chance of picking a number less than 3. Since you have to multiply these two probabilities, and 1/3x1/2=1/6, the answer is 1/6. Hope this helps!

Answer:

12, 7, 2, -3, -8

Step-by-step explanation:

I will only do the first one for an example.

If x was to equal -2 you would put it into the function like this.

f(x)=2-5x

f(-2)=2-5(-2)

f(-2)=2+10

f(-2)=12

Answer:

Step-by-step explanation: x2=y12, x-1=y7,

x0=y2, x1=y-3, x2=y-8

Hope this helps.

Answer:

Step-by-step explanation:

To solve the congruence 5x ≡ 6 (mod 7), we need to find a value for x that satisfies the equation.

First, we'll find the multiplicative inverse of 5 modulo 7. The multiplicative inverse of a modulo m is a number x such that ax ≡ 1 (mod m). In this case, we need to find a number x such that 5x ≡ 1 (mod 7).

To find the multiplicative inverse, we can try different values of x and compute the result until we find one that satisfies the equation. Alternatively, we can use a more efficient method like the Extended Euclidean Algorithm.

Using the Extended Euclidean Algorithm, we find that the multiplicative inverse of 5 modulo 7 is 3, as 5 * 3 ≡ 1 (mod 7).

Now, we can multiply both sides of the congruence by the multiplicative inverse (3) to isolate x:

5x ≡ 6 (mod 7)

3 * 5x ≡ 3 * 6 (mod 7)

15x ≡ 18 (mod 7)

Reducing the coefficients:

1 * x ≡ 4 (mod 7)

Since x ≡ 4 (mod 7), the solution to the congruence 5x ≡ 6 (mod 7) is x ≡ 4 (mod 7). This means that x can be written as x = 4 + 7k, where k is any integer.

Answer:

1

5

Step-by-step explanation:

Part A: To calculate the measures of center, we can find the median and the mean for each school.

For Bay Side School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 25, so the median class size is 25.

To find the mean class size for Bay Side School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 12 + 12 + 12 + 14 + 15 + 15 + 16 + 16 + 18 + 18 + 20 + 20 + 23 + 25 + 25 = 243. There are 15 classes, so the mean class size is 243/15 ≈ 16.2.

For Seaside School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 15, so the median class size is 15.

To find the mean class size for Seaside School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 10 + 10 + 10 + 11 + 12 + 15 + 15 + 16 + 17 + 17Part A (continued):

18 + 18 + 20 + 20 + 25 = 222. There are 14 classes, so the mean class size is 222/14 ≈ 15.9.

Therefore, the measures of center for Bay Side School are: median = 25, mean ≈ 16.2.

The measures of center for Seaside School are: median = 15, mean ≈ 15.9.

Part B: To calculate the measures of variability, we can find the range and the interquartile range (IQR) for each school.

For Bay Side School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 12, so the range is 25 - 12 = 13.

To find the IQR for Bay Side School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 15 and Q3 is 20. Therefore, the IQR is 20 - 15 = 5.

For Seaside School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 10, so the range is 25 - 10 = 15.

To find the IQRPart B (continued): for Seaside School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 12 and Q3 is 18. Therefore, the IQR is 18 - 12 = 6.

Therefore, the measures of variability for Bay Side School are: range = 13, IQR = 5.

The measures of variability for Seaside School are: range = 15, IQR = 6.

Part C: If you are interested in a smaller class size, Seaside School is a better choice because its measures of center are lower than those of Bay Side School, indicating that its class sizes tend to be smaller on average. Additionally, Seaside School has a smaller range and IQR, indicating less variability in class size. Therefore, there is less chance of encountering very large classes at Seaside School compared to Bay Side School.

Answer:

Ingredients

6 tablespoons unsalted butter, softened, plus more for baking sheet

1 1/4 cups cake flour (not self-rising), plus more for baking sheet

3/4 teaspoon baking powder

1/4 teaspoon baking soda

1/4 teaspoon salt

1 cup sugar

1/2 cup almond paste

4 large eggs, separated

1/2 teaspoon pure vanilla extract

1/2 cup whole milk

1/2 cup cherry preserves, processed in a food processor

Sugar Glaze

Gum paste cherry blossoms, (available at Wendy Kromer Confections)

Directions

Step 1

Preheat oven to 350 degrees. Butter a 12-by-17- inch rimmed baking sheet, and line with parchment paper. Butter parchment, and dust with flour, tapping out excess; set aside. Sift flour, baking powder, baking soda, and salt into a large bowl; set aside.

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Step 2

Put 3/4 cup sugar and the almond paste into the bowl of an electric mixer fitted with the paddle attachment. Mix on medium-low speed until mixture resembles coarse meal, about 2 minutes. Raise speed to medium-high. Add butter; mix until pale and fluffy, about 2 minutes. Mix in egg yolks and vanilla. Add flour mixture in 2 batches, alternating with the milk. Transfer to a large bowl; set aside.

Step 3

Put egg whites into the clean bowl of an electric mixer fitted with whisk attachment; beat on medium-high speed until foamy. Gradually add remaining 1/4 cup sugar, beating until soft peaks form. Fold one-third of egg-white mixture into batter with a rubber spatula. Gently fold in remaining egg-white mixture.

Step 4

Spread evenly into prepared sheet. Bake until a cake tester inserted into center comes out clean, 15 to 20 minutes. Transfer sheet to wire rack; let cool completely. Unmold; remove parchment.

Step 5

Cut cake in half crosswise. Spread one half with preserves; top with remaining half. Refrigerate 1 hour. Trim cake, and cut into 1 1/2-inch squares. Transfer to a wire rack set over a rimmed baking sheet. Pour glaze over each petit four, spreading over top and sides to coat completely. Reuse glaze, straining to remove any solids, if needed. Refrigerate until set, about 20 minutes. Garnish with blossoms.

Answer:

w=-1

Step-by-step explanation:

Answer: None of them. The're both negative.

Answer:

y = 2x-3

Step-by-step explanation:

Y=mx+c

We find m first so

m=y2-y1/x2-x1

= -3-5/0-4

= 2

So y=2x+c

Now we find c, so we sub any of points in the line equation!

Sub (4,5) in y=2x+c

5=2(4)+c

-8+5=c

-3=c

So the answer is D !

Answer:

44/8. ----- then you reduce to the lowest term and convert to decimals 5.5

Answer:

4 1/2

Step-by-step explanation:

Given lengths :-

To Find :-

Solving :-

The equations which is best represents the relationship between x and y is,

⇒ y = - 2x

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the graph of the line are (0, 0) and (- 1, 2).

Now,

Since, The equation of line passes through the points (0, 0) and (- 1, 2).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (2 - 0) / (- 1 - 0)

m = 2 / - 1

m = - 2

Thus, The equation of line with slope - 2 is,

⇒ y - 0 = - 2 (x - 0)

⇒ y = - 2x

Therefore, The equation of line passes through the points (0, 0) and

(- 1, 2) will be;

⇒ y = - 2x

Learn more about the equation of line visit:

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Answer:

18÷4=4.5 so for each game, len spends $4.50

Answer: A

Step-by-step explanation:  578*0.09=52.02~ is 50

Step-by-step explanation:

Set A:

Jill owes $12 altogether. ($4 + $4 + $4 = $12)

Positive values: 4, 4, 4

Negative values: None

Joey owes $16 altogether. ($4 + $4 + $4 + $4 = $16)

Positive values: 4, 4, 4, 4

Negative values: None

The product of -7 and -6 is 42.

Positive values: None

Negative values: -7, -6

Each friend owes $7. ($49 ÷ 7 = $7)

Positive values: 49, 7

Negative values: None

-81 divided by 9 is -9.

Positive values: 81, 9

Negative values: -81, -9

-100 divided by -10 is 10.

Positive values: 100, 10

Negative values: -100, -10

The total amount owed by all 18 customers is $270. ($15 × 18 = $270)

Positive values: 18, 15

Negative values: None

The product of -12 and -13 is 156.

Positive values: 12, 13

Negative values: -12, -13

-16 times 4 is -64.

Positive values: 16, 4, 64

Negative values: -16, -4, -64

The quotient when -45 is divided by -9 is 5.

Positive values: 45, 9, 5

Negative values: -45, -9, -5

Set B:

n + 23 = 41

Equation: n = 41 - 23

Solution: n = 18

n - 29 = 61

Equation: n = 61 + 29

Solution: n = 90

x + 36 = 53

Equation: x = 53 - 36

Solution: x = 17

x + 19 = 43

Equation: x = 43 - 19

Solution: x = 24

x/4 = 12

Equation: x = 4 × 12

Solution: x = 48

12x = 96

Equation: x = 96/12

Solution: x = 8

x/8 = 11

Equation: x = 8 × 11

Solution: x = 88

19x = 190

Equation: x = 190/19

Solution: x = 10

x/42 = 6

Equation: x = 42 × 6

Solution: x = 252


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Answer:

Y= -5x+2

I plugged all of the equations in to a coordinate plane

Answer:

its $26.75

Step-by-step explanation:

Answer:

26.75£ The answer .

Answer:

No solutions

Step-by-step explanation:

Integer cant be decimal

Answer:

Step-by-step explanation:

Use the slope and y intercept, or 2 points

Slope: 13

y-int: 0,0

x|y

0|0

1|13

Answer:

-6

Step-by-step explanation:

your equation isnt in slope interecept form

y=mx+b

4=x/6-2 is what is see

so i would assume b is -6