WILL GIVE BRAINLIEST IF FAST AND RIGHT
In a box there are apples, bananas, and oranges.
There are 29 total pieces of fruit.
There are twice as many apples as oranges.
There are 3 more oranges than bananas.
How many oranges are in the box?

The area of the portion of the sphere between the planes z = 2 and z = -2 is 16πa²/3 square units

To find the area of the portion of the sphere between the planes z = 2 and z = -2, we need to integrate the surface area element over the portion of the sphere that lies between these planes.

We can parameterize the sphere using spherical coordinates:

x = a sinθ cosφ

y = a sinθ sinφ

z = a cosθ

Then the surface area element in spherical coordinates is given by

dS = a^2 sinθ dθ dφ

To integrate over the portion of the sphere between the planes z = 2 and z = -2, we need to find the limits of integration for θ and φ.

For φ, we can integrate over the full range of 0 to 2π, since the portion of the sphere lies in all directions around the z-axis.

For θ, we need to find the values of θ that correspond to the planes z = 2 and z = -2. We can use the equation for z in terms of spherical coordinates

z = a cosθ

Setting z = 2, we get:

cosθ = 2/a

θ = cos⁻¹(2/a)

Setting z = -2, we get:

cosθ = -2/a

θ = cos⁻¹(-2/a)

Note that these values of θ are in the range [0, π], since the portion of the sphere lies between the planes z = 2 and z = -2.

Therefore, the area of the portion of the sphere is given by the integral:

A = ∫∫dS = ∫₀^(2π) ∫cos⁻¹(-2/a)^(cos⁻¹(2/a)) a^2 sinθ dθ dφ

Evaluating this integral gives

A = 4πa² [1 - cos(cos⁻¹(2/a))] = 16πa²/3 square units

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The rule of g(x) after the transformation is g(x) = 3(x + 4)^2 + 3(x + 4)

The function is given as

f(x) = x^2 + x

The transformations are given as:

The rule of the above transformations are :

When the above transformations are combined, we have

This means that

g(x) = 3f(x + 4)

So, we have

g(x) = 3(x + 4)^2 + 3(x + 4)

Hence, the function g(x) is g(x) = 3(x + 4)^2 + 3(x + 4)

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Mario should take the time to review and edit the press release for accuracy and clarity before sending it.

Accuracy is a measure of how closely the results of a task or model match the true values. It is calculated by taking the number of correct predictions and dividing it by the total number of predictions. High accuracy scores indicate that a model is performing well and is making accurate predictions.

He should do a final check for typos, grammar, and punctuation mistakes. He should also ensure that all facts and figures are correct and up-to-date. Additionally, he should double-check to make sure the press release accurately reflects the company's intended message and that it is consistent with the company's brand. Finally, Mario should run a plagiarism check to ensure that the press release does not contain any plagiarized content. This will help ensure that the press release is original and authentic.

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Answe and Step-by-step explanation:

Looking at the question the way it was asked, it is easy because it said they have been labelled, so you don't have to stress yourself. Although, if what is intended is, the labelling got wrong along the way and how do you identify the correct one? Then this is what to do:

Go to the one labelled RB. Since I'm assuming that the labelling got wrong, if you pick a red, it means what we have should be a RR and if we picked a black, it means what we have is a BB and we can't have a RB because it was labelled wrongly.

Let's assume he saw a red,

We know that the BB box was labelled wrongly, and we already determined that the box with RB is a RR. Therefore, the box BB can never be RR(because we've seen it already) and it's certainly not BB (due to the fact that they were labelled wrongly). So we have only one option left which is it being RB and whatever we have left will be BB.

If we assume what was picked from the wrongly labelled RB is black.

We know that the RR box was labelled wrongly, and we already determined that the box with RB is a BB. Therefore, the box RR can never be BB and it's certainly not RR (due to the fact that they were labelled wrongly). So we have only one option left which is it being RB and whatever we have left will be RR.

Answer: A = 45,900

Step-by-step explanation:

To find the distinct possibilities for the values in the diagonal going from the top left to the bottom right of a BINGO card, we need to consider the ranges of numbers that can appear in each column.

The first column can have any 5 numbers from the set 1-15. There are 15 numbers in this range, so there are "15 choose 5" possibilities for the numbers in the first column.

The second column can have any 5 numbers from the set 16-30. Again, there are 15 numbers in this range, so there are "15 choose 5" possibilities for the numbers in the second column.

The third column has a Wild square in the middle, so we need to skip it and consider the remaining 4 squares. The numbers in the third column can come from the set 31-45, which has 15 numbers. Therefore, there are "15 choose 4" possibilities for the numbers in the third column.

The fourth column can have any 5 numbers from the set 46-60, which has 15 numbers. So there are "15 choose 5" possibilities for the numbers in the fourth column.

The last column can have any 5 numbers from the set 61-75, which again has 15 numbers. So there are "15 choose 5" possibilities for the numbers in the last column.

To find the total number of distinct possibilities for the diagonal, we multiply the number of possibilities for each column together:

"15 choose 5" "15 choose 5"  "15 choose 4"  "15 choose 5"  "15 choose 5".

Evaluating this expression, we find:

(3003)  (3003)  (1365)  (3003)  (3003) = 13,601,464,112,541,695.

Therefore, there are 13,601,464,112,541,695 distinct possibilities for the values in the diagonal going from the top left to the bottom right of a BINGO card, in order.

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Answer:

he said ‎help please!! tasks from 9 to 16!! Very necessary!! Thank you so much in advance!! <Z‎

Step-by-step explanation:

your welcome

The z-score would be most useful if you want to know how many standard deviations from the mean a single score in a data set falls. So, the answer to the given question is option B) Az score.

The z-score is a standard score that indicates how many standard deviations an observation is from the mean. A z-score expresses the difference between a measurement and the mean in units of standard deviation. It is calculated as follows: Z-score= (score – mean) / standard deviation

The z-score is frequently utilized in statistics as an index of the likelihood that a result will occur. It is often utilized to determine whether a value is significantly different from the average. It is also known as a standard score or a normal deviate.

The z-score indicates how many standard deviations an observation is from the mean. A positive z-score indicates that the measurement is above the mean, whereas a negative z-score indicates that the measurement is below the mean. A z-score of zero indicates that the score is equal to the mean.

Hence, the answer to the given question is option B) Az score.

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Therefore , the solution of the given problem of integral comes out to be 8ln2 is solution for the integral expression.

The region beneath a curve among two set limits is referred to as a definite integral. The representation of the definite integral for such a function of two variables), defined to reference to the x-axis, is ∫ baf(x)dx a b f (x) d x, where an is the lower bound and b is the upper bound.

Here,

Given :

\(\int\limits \int\limitsa_R\) 3xy²/x²+ 1 dA

=> R = {(x, y) | 0 ≤ x ≤ 3, −2 ≤ y ≤ 2} ·

So,

=>  \(\int\limits^1_{x=0} \int\limits^2_{y=-2}\) 3xy²/x²+ 1  dxdy

=> \(\int\limits^1_{x=0}\) 3x / x²+ 1  \(\int\limits^2_{y=-2}\) y²

=>\(\int\limits^1_{x=0}\) 3x / x²+ 1 ( y³/2)²dx

=>   \(\int\limits^1_{x=0}\) 3x / x²+ 1 (8 + 8 /3) dx

=> \(\int\limits^1_{x=0}\) 16x/x²+ 1

=> 8 [ln(x²+ 1) ]

=>  8 [ln2 -ln1 ]

=>8ln2

Therefore , the solution of the given problem of integral comes out to be

8ln2 is solution for the integral expression.

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Answer:

Hover for more information. In the given question, the accepted value is 350 grams; the experimental value is 342 grams. Therefore, the percentage error is % = % = 2.286% (to three decimal places). ... Therefore, the percentage error is 0.02286 x 100% = 2.286%.

The percentage error in selecting the random box is 2.285 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

Let the total amount of bag of cereal be = 350 grams

The box selected at random had a weight of = 342 grams

The percentage error is calculated by the formula

Percentage Error =
( ( Original Value - Observed Value ) / Original Value ) x 100

So , the equation is

Percentage Error =
( ( Total weight of bag of cereal - Observed weight ) / Total weight ) x 100

Percentage Error = ( ( 350 - 342 ) / 350 ) x 100

                             = ( 8 / 350 ) x 100

                             = 0.02285 x 100

                             = 2.285 %

Therefore , the percentage error in selecting the random box is 2.285 %

Hence , the percentage error in selecting the random box is 2.285 %

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Answer:

0.50mp

Step-by-step explanation:hope this hepls

The angles of a triangle with side lengths 5 , 12 and 13 are 90°, 22.63°, 67.38°.

In trigonometry, the law of cosines, also known as the law of cosines or cosine formula, basically relates the length of a triangle to one cosine of its angle. It states that if we know the lengths of two sides of a triangle and the angle between them, we can determine the length of the third side. c² = a²+ b² – 2ab cosγ

where a, b, c are the sides of the triangle and γ is the angle between a and b, see image above.

To find the length of a side of a triangle, take △ABC according to the cosine formula, which can be written as follows.

We have , a = 5 , b = 12 , c= 13

cos α =( 12² + 13² - 5² )/2×12×13= 288/312

=> α = cos⁻¹(0.923 ) = 22.63°

cos β = (5² + 13² - 12² )/2×13×5 = 50/130

=> β = cos⁻¹(5/13) = 67.38°

cos γ = (12² + 5² - 13² )/2×12×5= 0

=> γ = cos⁻¹(0) = 90°

Hence, the required angles are 90°, 22.63°, 67.38°.

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Answer:

768 m²

Step-by-step explanation:

8 x 400 = 3200 cm = 32 m

6 x 400 = 2400 cm = 24m

32 x 24 = 768 m²

Answer:

The equation of the line through the given points is y = (1/2)x + 1.

Step-by-step explanation:

To find the equation of a line passing through two given points, we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Given the points (7, 2) and (-1, 0), we have:

m = (0 - 2) / (-1 - 7) = -2 / -8 = 1/4

Next, we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where (x1, y1) represents one of the given points. Let's choose the point (7, 2):

y - 2 = (1/4)(x - 7)

Expanding and rearranging the equation, we get:

y - 2 = (1/4)x - (7/4)

y = (1/4)x - (7/4) + 2

y = (1/4)x - (7/4) + (8/4)

y = (1/4)x + 1

Therefore, the equation of the line passing through the points (7, 2) and (-1, 0) is y = (1/4)x + 1.

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Answer:

$135

Step-by-step explanation:

Answer:

x=8 y=1

Step-by-step explanation:

you have first and second equation, YOU MUST FIND THE THIRD EQUATION

SOLUTION

FIND equation 3 from 2

x+2y=10

x=10-2y...........3

Substitute equation 3 from first (not from the equation where you got equation 3)

2 (10-2y)-7y=9

20-4y-7y=9

-11y=9-20

-11y= -11

-11y/-11= -11/-11

y=1

Find the value of x from the third equation

x=10-2 (1)

x=8

The Standard form of a number is also known as "Scientific notation". The form is:

Where the coefficient "a" is a number from 1 to 10, but not including 10, and the exponent "b" is an Integer. The base is always 10.

By definition, the decimal point must be after the first digit of the coefficient.

In this case, in order to write 36 in Standard form, you must move the decimal point one place to the left:

Notice that the exponent is 1 because you had to move the decimal point one place to the left in order to locate it after the first digit of the coefficient.

Now, to write the exponent form of a number is:

Where the exponent "n" indicates how many times "b" must be multiplied by itself.

You know that:

Then:

The answer is:

a. Exponent form:

b. Standard form:

Answer:

D

Step-by-step explanation:

Well, since t = time in air, we already know that it traveled 2 seconds.

H = height in meters, and H = 18

So, after 2 seconds the object is 18m in the air

So, option D

The linear equation of the line shown in the graph will be 3y +x= 0.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

As we can observe in the given graph of lines,

the given line passes through the point (0, 0) origin and (-6, 2).

The slope-intercept form of the equation of a line

y=mx+b,

where m is the slope

b is the y-intercept

Since y-intercept is the value of y in line at x = 0

in our case, b = 0

since, slope = (y - y')/(x -x')

Slope = (2-0)/(-6-0)

Slope = 2/-6

Slope = -1/3

thus,

the equation of the line shown in the graph will be y = -1/3x

the equation of the line shown in the graph will be 3y +x= 0.

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The initial equation is:

So if we use the distribution propertie, we have to multiply the 4 for all term in the parenthesis so:

and then we simplify:

So is option D)

The required solution for the given multiple regression equation is:

a) An increase in  \(\(x_1\)\) will lead to a decrease in \(\(\hat{y}\)\) by 10 units.

b) An increase in  \(\(x_2\)\) will lead to an increase in \(\(\hat{y}\)\)  by 8 units.

c) An increase in  \(\(x_3\)\) will lead to an increase in  \(\(\hat{y}\)\)  by 8 units.

Given that the multiple regression equation is:

\(\[ \hat{y}=26-10 x_{1}+8 x_{2}+8 x_{3} \]\)

To determine the direction of change in \(\(y\)\) based on the given regression equation, we need to examine the coefficients associated with each predictor variable. Let's analyze each scenario separately:

a) If \(\(x_1\)\) increases by 5 units while holding  \(\(x_2\)\) and  \(\(x_3\)\) constant:

From the equation, we can see that the coefficient of  \(\(x_1\)\) is -10. Therefore, an increase in  \(\(x_1\)\) will result in a decrease in \(\(\hat{y}\)\) (the predicted value of \(\(y\)\) ). Specifically, for every 1 unit increase in  \(\(x_1\)\),  \(\(\hat{y}\)\)  will decrease by 10 units.

b) If  \(\(x_2\)\) increases by 6 units while holding  \(\(x_1\)\) and \(\(x_3\)\)constant:

The coefficient of  \(\(x_2\)\) is 8. Hence, an increase in  \(\(x_2\)\) will lead to an increase in \(\(\hat{y}\)\) . For every 1 unit increase in  \(\(x_2\)\), \(\(\hat{y}\)\)  will increase by 8 units.

c) If  \(\(x_3\)\) increases by 2 units while holding  \(\(x_1\)\) and  \(\(x_2\)\) constant:

The coefficient of  \(\(x_3\)\) is 8. Therefore, an increase in  \(\(x_3\)\) will result in an increase in \(\(\hat{y}\)\) . For every 1 unit increase in  \(\(x_3\)\), \(\(\hat{y}\)\)  will increase by 8 units.

In summary:

a) An increase in  \(\(x_1\)\) will lead to a decrease in \(\(\hat{y}\)\) by 10 units.

b) An increase in  \(\(x_2\)\) will lead to an increase in \(\(\hat{y}\)\)  by 8 units.

c) An increase in  \(\(x_3\)\) will lead to an increase in  \(\(\hat{y}\)\)  by 8 units.

Please note that these conclusions are based on the given regression equation and the coefficients provided.

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Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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Answer:

  $5630

Step-by-step explanation:

You want the value of a $20,500 car after 3 years if it declines in value by 35% each year.

The exponential function describing the value can be written as ...

  value = (initial value) × (1 + growth rate)^t

where the growth rate is the change per year, and t is in years.

Here, the initial value is 20,500, and the growth rate is -35% per year. The function is ...

  value = 20500×(1 -0.35)^t

After 3 years, the value is ...

  value = 20500(0.65³) ≈ 5630

The resale value after 3 years is $5630.

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As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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Answer: 12 dimes

Step-by-step explanation: 12 quarters = 3.00

five nickels = 3.25

12 dimes = 4.45

13 pennies = 4.58

The time taken to traveled the van and the tornado before they  meet as per the speed of the van and the tornado is equal to 2.6 minutes.

As given in the question,

Speed of the van along the straight road = 94 kilometers per hour

After travelling distance of 7 kilometers

Speed of the tornado along the same road = 69 km/hour

Total relative speed of van and tornado = 94 + 69

                                                                  = 163km/hour

Distance travelled between two different speed = 7km

Time used to traveled before they meet = distance / speed

                                                                   = 7 / 163

                                                                   = 0.043 hours

                                                                   = 2.58minutes

                                                                   = 2.6minutes

Therefore, the time required to traveled the van and the tornado before they   meet is equal to 2.6 minutes.

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slope: -4/5

y-int: 4

y=-4/5x+4

The scale factor of the smaller figure to the larger figure is 1.5.

In Mathematics and Geometry, a scale factor can be determined through the division of the side length of the image (new figure) by the side length of the original or actual geometric figure (pre-image).

Mathematically, the formula for calculating the scale factor of any geometric object or figure is given by:

Scale factor = side length of image/side length of pre-image

By substituting the given side lengths into the scale factor formula, we have the following;

Scale factor = 6/4

Scale factor = 1.5.

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