The set of integers greater than -7 but less than 7

Answer:

4 dozen

Step-by-step explanation:

4 cups flour = 12 cookies    [1 dozen=12]

1 cup of flour= 12/4 cookies

                    =3 cookies

now,

16 cups of flour= 3*16 cookies

                        =48 cookies

                         = 4 dozens          [48/12=4    dozen]

therefore, 4 dozen cookies can be made with 16 cups of flour

Answer: 144

Step-by-step explanation:

Answer:

x=3

A=4

B=5

Step-by-step explanation:

12a+15b-9c take 3 as GCF

3(4x+5b-3c)

x=3

A=4

B=5

The solution is:

⇒ 6b = 95.94   (equation to determine cost of one box)

cost of one box 'b' = $`15.99

⇒ 12t = 95.94   (equation to determine cost of per tile)

cost of one tile t = $0.7995.

Given :

Jorge bought a crate of floor tiles for $95.94.

The crate had 6 boxes of floor tiles.

Each box contained 20 floor tiles .

To Find :

Write and solve equation to determine the cost per box'b'.

Write and solve a second equation to determine the cost per tile't'

Solution :

Cost of one box = b

There are 6 boxes

So, cost of 6 boxes = $  6b

Since Jorge bought 1 crate( = 6 boxes) of cost $95.94

⇒     (equation to determine cost of one box)

⇒6b = 95.94

⇒b =15.99

Thus cost of one box = $`15.99

Since 1 box 20 floor tiles

So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles

We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94

Cost of one tile = t

Cost of 120 tiles = $120t

⇒ (equation to determine cost of per tile)

⇒12t = 95.94

⇒t = 0.7995.

Thus cost of one tile t = $0.7995.

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The probability that Jessica picks a yellow pencil is 80%.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number ranging from 0 to 1, or as a percentage ranging from 0% to 100%, where 0 indicates an impossible occurrence and 1 (or 100%) represents a certain event.

Now,

The probability of picking a yellow pencil =  the number of yellow pencils / total number of pencils:

Probability of picking a yellow pencil = Number of yellow pencils / Total number of pencils

In this case, there are 8 yellow pencils out of a total of 10 pencils:

Probability of picking a yellow pencil = 8 / 10

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

Probability of picking a yellow pencil = 4 / 5

Probability of picking a yellow pencil = 4 / 5 x 100%

Probability of picking a yellow pencil = 80%

Therefore, the probability that Jessica picks a yellow pencil is 80%.

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Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

Answer:

option 2

Step-by-step explanation:

I hope that's the answer cause I'm pretty sure it is

Answer:

y (t) = 19 + 76*e^(-(1/51)*t)

Step-by-step explanation:

We have the following differential equation model:

dy / dt = - (1/51) * (y -19)

The initial conditions are: y (0) = 95 and y '(70) = 1

We solve the differential equation, separating variables:

1 / (and -19) * dy = - (1/51) * dt

we integrate on both sides:

ln (y -19) = - (1/51) * t + C

e ^ ln (y -19) = e ^ (- (1/51) * t + C)

y - 19 = C1 * e ^ (- (1/51) * t)

y = 19 + C1 * e ^ (- (1/51) * t)

replacing, and (0) = 95

95 = 19 + C1 * e ^ (- (1/51) * 0)

95 = 19 + C1 * e ^ 0

95 = 19 + C1

C1 = 95 - 19 = 76

Therefore the equation would be:

y (t) = 19 + 76 * e ^ (- (1/51) * t)

Answer:

none

Step-by-step explanation:

no x because (y-3)=14 so the x wouldnt repeat

Answer:

y = 5

Step-by-step explanation:

-7(y-3)= -14

Divide each side by -7

-7/-7(y-3)= -14/-7

y-3 = 2

Add 3 to each side

y-3+3 = 2+3

y = 5

We have a function,

\(f(x)=x^2-1\)

and we are asked to find its inverse function.

An inverse function essentially gets you the original value that was dropped into a function.

For example,

If I put 5 into \(f(x)\) I will get 24. Now If I take 24 and put it into the inverse function I have to get number 5 back.

The way to determine the inverse function swap the x and the \(f(x)\), then solve for \(f(x)\),

\(x=f(x)^2-1\)

\(f(x)^2=x+1\)

\(f(x)=\pm\sqrt{x+1}\)

Of course the notation demands that the obtained function be called,

\(f^{-1}(x)=\pm\sqrt{x+1}\)

Hope this helps :)

Answer:

Step-by-step explanation: Refer to the photo taken.

Answer:

\( \sf \: 300 \: deci \: litres\)

Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.

4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.

5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.

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Full Question:
See attached image.

Reflect

4. Analyze Relationships One month, the family must make an

emergency car repair for $305. Are they able to pay for it out of the

fixed emergency fund for that month? If not, how can they afford it?

5. The family wants to make a trip to Houston to visit the NASA Space

Center. What are some ways they can save without using all of the

allotted $160 for entertainment

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer: 2 pages

Step-by-step explanation:

Answer:

2.55555555555555555555555555556

Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.

The correct answer should be -20, not 34.

Huda's error was that she evaluated (3) squared incorrectly.

Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.

To evaluate the expression correctly, let's go through the steps:

Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)

First, we simplify the expression within the parentheses:

\(-3(3)^2 - (-7) = -3(9) - (-7)\)

Next, we evaluate the exponent:

-3(9) - (-7) = -3(9) + 7

Now, we perform the multiplication and addition/subtraction:

-3(9) + 7 = -27 + 7 = -20

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Answer:

P= 3200 cm

Step-by-step explanation:

Perimeter = 2(l+w)

In this case since the perimeter has to be in centimeters, we have to change the length of the rectangle to centimeter.

12 meter to centimer = 12 x 100 = 1200 cm

2( 1200 +400)

2 (1600)

=  3200 cm

Answer:

The burgers cost $2.50 and the cookies cost $1.25.

Step-by-step explanation:

Let b represent burgers and c represent cookies.

2b + 2c = 7.50

4b + 3c = 13.75

Step 1: Use one of the two equations and isolate one of the variables.

2b + 2c = 7.50

      - 2c    -2c

\(\frac{2}{2}\)b = \(\frac{7.50}{2}\) - \(\frac{2}{2}\)c

b =  3.75 - c

Step 2: Plug what you get for b into the second equation.

4(3.75 - c) + 3c = 13.75

15 - 4c + 3c = 13.75

15 - 1c = 13.75

Step 3: Isolate the variable and solve for c.

15 - 1c = 13.75

-15        -15

\(-\frac{1}{1}\)c = \(\frac{-1.25}{-1}\)

c = 1.25 ← price for cookies

Step 4: Plug in what you have for c into one of the previous equations and solve for b.

2b + 2(1.25) = 7.50

2b + 2.50 = 7.50

     - 2.50   -2.50

\(\frac{2}{2}\)b = \(\frac{5}{2}\)

b = 2.50 ← price for burgers

Now you know the cost of each item:

The burgers cost $2.50 and the cookies cost $1.25.

Answer:

The vertex is located at (1,-4)

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

\(y=a(x-h)^2+k\)

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

We have the following quadratic equation and we need to express it in vertex form. Thus, we need to complete the squares:

\(y=x^2-2x-3\)

Adding and subtracting 1:

\(y=x^2-2x+1-3-1\)

The first three terms are the square of a binomial:

\(y=(x-1)^2-4\)

Comparing to the vertex form of a quadratic equation, the vertex is at (1,-4).

The vertex is located at (1,-4)

The value of the numerical expression [(-5) - {4²- (-5) }] · (4 - 3) will be negative 26.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expression is given below.

⇒ [(-5) - {4²- (-5) }] · (4 - 3)

Simplify the expression, then we have

⇒ [(-5) - {4²- (-5) }] · (4 - 3)

⇒ [(-5) - {16 + 5}] · (1)

⇒ [(-5) - 21]

⇒ - 26

The value of the numerical expression [(-5) - {4²- (-5) }] · (4 - 3) will be negative 26.

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Answer:

The set of numbers a = 3, b = 6, and c = 9 proves the hypothesis because 3 is a factor of 6 and 3 is a factor of 9. Property 1 states that therefore 3 is a factor of 9 + 3 =12, which we know is true because 3 × 4=12. You can prove that this property is true for all integers if you know what the term factor means.

Answer:

20 percent

Step-by-step explanation:

(I had such a good explanation and accidentally refreshed the page)

So basics

48/60 is in

12/60 is out

Now we focus on out

we know this 12/60 becuase 48 is in and there are 60 tries so 60-48=12

So now 12/60 into a percent

A percent is basically x/100

So we gotta make 12/60 into a fraction with a denominator of 100

SO simplify fto make it easier (try to get it to 4,2,5,10,50,25 anything that goes into 100)

1/5

1/5 is 20 percent

thats a benchmark

But if you don’t know

You can always do a pro proton

1/5=x/100

Cross multiply

100=5x

x=20

Answer:

yes it can be improved by learning so dont ask any tholing

Answer:.

Step-by-step explanation:-

Answer:

Yes.

Step-by-step explanation:

\(6^{3}\) × \(7^{3}\) = \(42^{3}\)

74,088 = 74,088

(h + k)(2) = 5

(h - k)(3) = 9

evaluate 3h(2) + 2k(3) = 17

The composition of functions is solved

a) ( h + k ) ( 2 ) = 5

b) ( h - k ) ( 3 ) = 9

c) 3h ( 2 ) + 2k ( 3 ) = 17

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

h ( x ) = x² + 1

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

k ( x ) = x - 2

Now , the composition of function is

To calculate (h+k)(2), we substitute x = 2 in both h(x) and k(x), add them together and simplify:

h(2) = 2² + 1 = 5

k(2) = 2 - 2 = 0

(h+k)(2) = h(2) + k(2) = 5 + 0 = 5

To calculate (h-k)(3), we substitute x = 3 in both h(x) and k(x), subtract k(x) from h(x), and simplify:

h(3) = 3² + 1 = 10

k(3) = 3 - 2 = 1

(h-k)(3) = h(3) - k(3) = 10 - 1 = 9

To evaluate 3h(2)+2k(3), we substitute x = 2 and x = 3 in h(x) and k(x), respectively, and simplify:

3h(2) + 2k(3) = 3(5) + 2(3-2) = 15 + 2 = 17

Therefore , ( h + k ) ( 2 ) = 5 , ( h - k ) ( 3 ) = 9, and 3h( 2 ) + 2k( 3 ) = 17

Hence , the composition of functions is solved

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Answer:

Perimeter of ABCD = 36 ft

Step-by-step explanation:

Given:

A (1,7)

B (7,7)

C (7,1)

D (1,1)

Find:

Perimeter of ABCD

Computation:

Distance between two point = √(x1-x2)² + (y1-y2)²

So,

AB = √(1-7)²+(7-7)²

AB = 6 ft

BC = √(7-7)²+(7-1)²

BC = 6 ft

CD = √(7-1)²+(1-1)²

CD = 6 ft

DA = √(1-1)²+(1-7)²

DA = 6 ft

Perimeter of ABCD = AB + BC + CD + DA

Perimeter of ABCD = 6 + 6 + 6 +6

Perimeter of ABCD = 36 ft

The perimeter of the plot is the sum of side length of the plot of land.

The perimeter of the plot is 24 feet.

Represent the vertices as follows:

\(W = (1,7)\)

\(X = (7,7)\)

\(Y = (7,1)\)

\(Z = (1,1)\)

First, we calculate the side length using the following distance formula:

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

So, we have:

\(WX = \sqrt{(1- 7)^2 + (7- 7)^2} = \sqrt{36} = 6\)

\(XY = \sqrt{(7- 7)^2 + (7- 1)^2} = \sqrt{36} = 6\)

\(YZ = \sqrt{(7- 1)^2 + (1- 1)^2} = \sqrt{36} = 6\)

\(ZW = \sqrt{(1- 1)^2 + (1- 7)^2} = \sqrt{36} = 6\)

The perimeter (P) is then calculated as follows:

\(P = WX + XY + YZ + ZW\)

So, we have:

\(P = 6 + 6 + 6 + 6\)

\(P = 24\)

Hence, the perimeter of the plot of land is 24 feet.

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Answer: Yes

Step-by-step explanation: Because of the gravity of the earth

A mean is an arithmetic average of a set of observations. The score of the student is equal to 63.4.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Given the mean score was 75, while the standard deviation was 8. Therefore, the score of the student is,

Scre of the student = μ - 1.45σ = 75 - 1.45(8) = 63.4

Hence, the score of the student is equal to 63.4.

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Answer:

The Answer is 113/348

Step-by-step explanation: