Sara is going to wrap a birthday present for her niece. She has a single piece of wrapping paper with an area of 400 in2.


Sara has 3 gift boxes she can use. The boxes are shown below with their measurements.


Select the box or boxes that Sara would be able to use for the gift that she could completely wrap with her piece of wrapping paper.

Answer:

628m

Step-by-step explanation:

Given radius=100m

distance=circumference

=2pie r

=2×22/7×100

=628m

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Answer:

\( \boxed{ \bold{ \huge {\boxed{ \sf{ - 12 {x}^{2} - 5x - 8}}}}}\)

Step by step explanation

\( \sf{ - 9 {x}^{2} + 3x - 8 - (3 {x}^{2} + 8x)}\)

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

\( \dashrightarrow{ \sf{ - 9 {x}^{2} + 3x - 8 - 3 {x}^{2} - 8x}}\)

Collect like terms

\( \dashrightarrow{ \sf{ - 9 {x}^{2} - 3 {x}^{2} + 3x - 8x - 8}}\)

\( \dashrightarrow{ \sf{ - 12 {x}^{2} - 5x - 8}}\)

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Answer:

Step-by-step explanation:

D = { - 4 , 0 , 2 , 7 }

R = { - 8 , - 1 , 3 }

Yes the relation is a function.

Answer:

9. 7*12*14=1176

10. 6*5*8=240

11.6*8*15=720

12. 11*5*9=495

13.  7*16*28=3136

14. 13*8*24=2496

The Keith will spend $16 to rent 1 movie and 2 video games from the store.

Let's assume the rental fee for each movie is "m" and the rental fee for each game is "g".

From the given information, we can form the following system of equations:

3m + 2g = 25 (Calvin's rental)

2m + g = 14.75 (Samantha's rental)

We can solve for "m" and "g" by using elimination or substitution method. Here, we will use substitution method.

From the second equation, we can solve for "g" in terms of "m":

g = 14.75 - 2m

Substituting this into the first equation, we get:

3m + 2(14.75 - 2m) = 25

Simplifying this, we get:

3m + 29.5 - 4m = 25

-m + 29.5 = 25

-m = -4.5

m = 4.5

Now that we know the rental fee for each movie is $4.50, we can find the rental fee for each game by substituting "m" into either of the original equations:

2(4.5) + g = 14.75

g = 14.75 - 9 = 5.75

So the rental fee for each game is $5.75.

To find how much Keith will spend to rent 1 movie and 2 video games, we can simply add up the rental fees:

1(4.5) + 2(5.75) = 16

Therefore, Keith will spend $16 to rent 1 movie and 2 video games from the store.

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Answer:

Step-by-step explanation:

y=10

Answer:

2.) s = 32

3.) y=10, x=80

Step-by-step explanation:

3.) x=y=90

10+80=90

80/8=10, so 80 is 10 times bigger

Answer:

area of composite shape =256cm²

Step-by-step explanation:

area of composite shape =area of the two shapes

1st shape=18×8=144cm²

2nd shape=8×14=112cm²

area of composite shape =area of 1st shape + area of 2nd shape

A=144+112

A=256cm²

Answer:

256 cm²

Step-by-step explanation:

Split the shape into 2 rectangles, one to the right of the dashed line, one to the left.  Calculate the 2 areas, then add them together to get the area of the composite shape.

Rectangle 1:  18 x 8 = 144

Rectangle 2:  (16 - 8)(18 - 4) = 8 x 14 = 112

Total area = 144 + 112 = 256

Answer:

She left 3 slices

Step-by-step explanation:

to find the number of slides that I have concluded, we will do the following

\( \frac{75}{100} \times 12 = 9\)

Then She left

\(12 - 9 = 3\)

Answer:

Geometric Sequence.

Step-by-step explanation:

We are told that the square is split into 4 similar squares. One of the new squares is now split into fourths again and this same sequence is repeated over again.

This means that there is a common ratio which is ¼.

Since there is a common ratio and not common difference, this sequence is said to be a geometric sequence.

The given expression √10 and √26  are irrational numbers.

The sum of √10 and √26 cannot be simplified because the two numbers are not like terms. However, we can estimate the value of the sum by using the fact that the square root of a number is between two consecutive perfect squares.

For √10, we know that 9 < 10 < 16, so √10 is between 3 and 4. For √26, we know that 25 < 26 < 36, so √26 is between 5 and 6. Therefore, we can estimate the sum of √10 and √26 to be between 8 and 10.

To get a more precise value, we can use a calculator to evaluate the sum of √10 and √26. Using a calculator, we find that the sum of √10 and √26 is approximately 7.051. Therefore, we can describe the sum of √10 and √26 as a decimal number that is approximately 7.051.

Alternatively, we can write the sum of √10 and √26 as a simplified radical expression. To do this, we need to combine the two radical terms into a single term using the distributive property of multiplication. We have:

√10 + √26 = √(10 × 1) + √(26 × 1) = √10 × √1 + √26 × √1 = √10 + √26

Therefore, we cannot simplify the sum of √10 and √26 any further, and we can describe it as the sum of two irrational numbers.

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Answer:

2nd option

Step-by-step explanation:

Given x = a is a root of a polynomial function then (x - a) is a factor

Given roots are x = 0, x = - 2, x = 7 , then corresponding factors are

(x - 0) , (x - (- 2) ) , (x - 7) , that is

x , (x + 2) , (x - 7)

The polynomial function f(x) is then the product of the factors, so

f(x) = x(x + 2)(x - 7)

Answer:

The answer will be 38° + 32° = 70°

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The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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Answer:

20

Step-by-step explanation:

-3x+20=-5x+20+2x

reduced:

-3x+20=-3x+20

subtract 20 from each side

Then

-3x=-3x

Answer:

the answer is 3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

1.71

Answer:

a. f(-12) = 10

b. f(0) = 1

c. f(4) = -2

Step-by-step explanation:

In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:

a. f(-12) = 1 - 3/4(-12)

 - f(-12) = 1 - (-36/4)

 - f(-12) = 1 + 9

 - f(-12) = 10

b. f(0) = 1 - 3/4(0)

 - f(0) = 1 - 0

 - f(0) = 1

c. f(4) = 1 - 3/4(4)

 - f(4) = 1 - 12/4

 - f(4) = 1 - 3

 - f4) = -2

The time for the trip from New York to Chicago is 1.944 hours or approximately 1 hour and 56 minutes.

The speed of the airplane, s = 360 mi/h, and the distance traveled, d = 700 miles, we can use the formula s = d/t to find the time, t, for the trip.

Rearranging the formula to solve for t, we have t = d/s.

Substituting the given values, we get t = 700 miles / 360 mi/h.

Performing the division, we find t = 1.944 hours.

This means that it takes approximately 1.944 hours, or about 1 hour and 56 minutes, for the plane to travel from New York to Chicago at a speed of 360 mi/h.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Here's the solution ~

Number of empty seats is equal to ;

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:1000 - 850\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:150\)

Percentage of empty seats is ;

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{150}{1000} \times 100\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{150}{10} \)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: {15}{} \%\)

Answer:

15%

Skills needed: Percentages

Step-by-step explanation:

1) First, let's find out the number of empty seats, and then go onto finding the percent of empty seats.

---> There are 1000 seats, and 850 are full:

------> \(100-850=150\) empty seats

2) In order to get a percentage, let's first make a fraction:

\(\frac{150}{1000}\) (empty seats over the total # of seats)

---> \(\frac{15}{100}\) is the simplified form, and this just means 15%.

(Remember: \(x\%=\frac{x}{100}\) --> 2% = \(\frac{2}{100}\))

As per the combination method, there are 120, 5 length m words can be formed from an n-letter alphabet, if no letter is used more than once.

Combination method:

in statistics, mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter is known as combination method.

Given,

Here we need to find how many length m words can be formed from an n-letter alphabet, if no letter is used more than once.

Let us consider letters (a,b,c,d,e) how many distinct n length words can be formed.

Here we note that every word can contain same letter m times at most.

So, it can be calculated as,

=> 5 x 4 x 3 x 2 x 1

=> 120

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Step-by-step explanation:

remember, dividing one fraction by a second is the same as multiplying the first one with the inverse fraction of the second.

5/6 ÷ 5/24 = 5/6 × 24/5 = 24×5 / 6×5 = 24/6 = 4

The sides and angles of a triangle can be determined using trigonometry ratios

The values of x, y and z are \(x = 14\sqrt 2\), \(y =14\) and \(z = 14\sqrt 3\)

The upper triangle is a right triangle with an angle measure of 45 degrees.

So, the value of x is:

\(x = 14\sqrt 2\)

Next, we calculate the hypotenuse (h) of the lower triangle using:

\(h^2 = (14\sqrt 2)^2 + (14\sqrt 2)^2\)

So, we have:

\(h^2 = 784\)

Take the square roots of both sides

\(h = 28\)

The value of y is then calculated using the following sine ratio

\(\sin(30) = \frac y{28}\)

Make y the subject

\(y =28 * \sin(30)\)

Evaluate

\(y =14\)

The value of z is then calculated using the following cosine ratio

\(\cos(30) = \frac z{28}\)

Make z the subject

\(z =28 * \cos(30)\)

Evaluate

\(z =28 * \frac{\sqrt 3}{2}\)

\(z = 14\sqrt 3\)

Hence, the values of x, y and z are \(x = 14\sqrt 2\), \(y =14\) and \(z = 14\sqrt 3\)

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The translated vertices are:

The vertices of the original figure are:

Now we want to apply a translation of four units to the right and 2 units down, then each point (x, y) becomes (x + 4, y - 2).

This means that the translated vertices are:

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Answer:

use symbolab

Step-by-step explanation:

a) The set {1, 2, 3} does not represent vectors, but rather a collection of scalars. Therefore, there are no vectors in {1, 2, 3}.

b) The number of vectors in "col a" cannot be determined without additional context or information. "Col a" could refer to a column vector or a collection of vectors associated with a variable "a," but without further details, the exact number of vectors in "col a" cannot be determined.

c) Without knowing the specific context of "p" and "col a," it is impossible to determine if "p" is in "col a." The inclusion of "p" in "col a" would depend on the definition and properties of "col a" and the specific value of "p."

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Answer:

g(-4) = 24 + 3 = 27

Step-by-step explanation:

We find the value of g(-4) by substituting -4 for x in g(x)= −6x + 3:

g(-4) = -6(-4) + 3, or

g(-4) = 24 + 3 = 27

Answer:

27

Step-by-step explanation:

substitute -4 for x

-6(-4) + 3

24 + 3

27

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To prove the sum of all the intercepts = k^2

xi + yj +zk = k^2

The gradient of the function f(x,y,z) = s

f(x,y,z = 1/2sxi + 1/2 syj =1/2 szk

And the tangent plane at the point (xo,yo,zo) is

sx/x +  sy/y +  sz/z

=  sxo/xo +   syo/yo +  szo/zo

=>  sxo/xo +   syo/yo +  szo/zo = k       ........(1)

To find the x intercept , we set y =z=0 and obtain x = ksxo/sx. similarly, y = ksyo/yo and z= kszo/zo. their sum is

ksxo/xo + ksyo/yo + kszo/zo

=k( sx0/xo + syo/yo + szo/zo)

=k.k = k^2   ...from eqn 1

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Answer:

Step-by-step explanation:

5x + 2 + 2x + 10 = 180

7x + 12 = 180

7x = 168

x = 24

5(24) + 2 = 120 + 2 = 122

2(24)+ 10 = 48 + 10 = 58

Answer:

The answer is B.

Step-by-step explanation:

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