You need 6 cups of fruit punch. use 2 cups of pineapple juice add 1 cup of cranberry juice. How many cups of orange juice should you add?

Answer:

100 miles

Step-by-step explanation:

We need to read the graph to determine the answer.

The input is 10 hours

Using the x, go up until you hit the red line and read the y value

The y value is 100 miles

Answer: 20

Step-by-step explanation:

Multiply 2.4*10-4

Calculate 24-4

the answer is (12x^10000)/5

She will need 11 containers.

From the information, Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each.

The containers needed will be:

= 8 ÷ 3/4

= 8 × 4/3

= 32/3

= 11

He will need 11 containers.

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Answer:

Step-by-step explanation:

When we divide one number by another and there is no remainder, the divisor A the quotient are the of the first number.

8/2=4

Answer:

7

Step-by-step explanation:

[tex]2 \times p \times q - r\\= 2 \times 3 \times 2 - 5\\= 2 \times 3\\= 6\\= 6 \times 2\\= 12\\= 12 - 5\\= 7[/tex]

The balance in Larry's savings account at the end of these 8 years is 1698 dollars and 84 cents

The given parameters are

Principal, P = 1287

Rate, R= 4%

Time, T = 8

The balance in dollars and cents in Larry's savings account at the end of these 8 years

Balance = P * PRT

This gives

Balance = 1287 + 1287 * 4% * 8

Evaluate

Balance = 1698.84

Hence, the balance in Larry's savings account at the end of these 8 years is 1698 dollars and 84 cents

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Answer: x > 75

Step-by-step explanation:

(85+84+69+82+x)/5 > 79

85+84+69+82+x > 395

x > 75

       The range is all the y-value or outputs of a function. In the case of a horizontal line, this is only one value.

               The range is the y-intercept, -5.

       The domain is all x-values or inputs of a function. For this graph, it is all real numbers (as you said).

               The domain is all real numbers.

Answer:

ok then what's the correct answer?

Step-by-step explanation:

The length of all four sides of the Isoclesles Trapezium is 67 inches.

Area of a Trapezium is (1/2)(a+b)h.Where and b are the parallel sides of the trapezium and h is the distance between the two parallel side

We know that for a plane 2D figure perimeter is the sum of the lengths of all the sides.

Given an isosceles Trapezium with a perimeter of 67 inches,

As the sides are given in variables we can equate the sum of all the sides with the given perimeter and obtain the value of x.

∴ (x + 1.5x + 2.5x - 5 + x) = 67.

6x = 67 + 5.

6x = 72.

x = 12.

So, the measure of lengths of four sides are [ 12 + 1.5(12) + 2.5(12) - 5 + 12) which is ( 12 + 18 + 30 - 5 + 12 ) = 67 inches.

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Answer: 10%

Step-by-step explanation:

Answer:

For each coin he has 6 dimes, 12 quarters, and 9 pennies.

Step-by-step explanation:

g(x) = 2x² − 5x + 1

a) g(0)

g(0)=2[tex](0)^{2}[/tex]-5(0)+1

      =1

b) g(-2)

g(2)=2[tex](-2)^{2}[/tex]-5(-2)+1

    =8+10+1

    =19

c) g(4)

g(4)=2[tex](4)^{2}[/tex]-5(4)+1

   =32-20+1

   =11

d) g(-x)

g(x) = 2x² − 5x + 1

g(-x)=2[tex](-x)^{2}[/tex]-5(-x)+1

   =2[tex]x^{2}[/tex]+5x+1

e) g(1 – t)

g(x) = 2x² − 5x + 1

g(1-t)=2[tex](1-t)^{2}[/tex]-5(1-t)+1

     =2[tex]t^{2}[/tex]+t-2

Answer:

3.5 or [tex]\frac{7}2}[/tex]

Step-by-step explanation:

4(x+2)-2=6x-2(4+x)

4x + 8 - 2 = 6x - 8 + 2x

4x + 6 = 8x - 8

14 = 4x

x = 3.5 or [tex]\frac{7}2}[/tex]

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Assume that the following definitions of the functions r and s apply to all real numbers x. r(x)=x-2s(x)=3x+6 Evaluate (rs)(1) and write the equations for (r+s)(x) and (r-s)(x). r+s(x) = r-s(x) = r.s(-1) =

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

The types of functions can be broadly classified into four types. Based on Element: One to one Function, many to one function, onto function, one to one and onto function, into function.

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The domain of the function is  (-∞,∞) and the simplified expression is x²-6x-40 .

A function's domain and range are its constituent parts. A function's  range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range.

The given functions are

f(x)=6x+24

g(x)=x²-16

Now we have to find (g-f)(x) .

(g-f)(x)=x²-16-6x-24

or,(g-f)(x)=x²-6x-40

or,(g-f)(x)=x²-10x+4x-40

or,(g-f)(x)=x(x-10)+4(x-10)

or,(g-f)(x)=(x-10)(x+4)

So the domain of the function (g-f)(x) are the values for which the function exists. we can see that the function exists for all values of x.

Domain in set builder notation={x|x∈R}

Domain in interval notation=(-∞,∞)

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The Type I error's computed value is 0.02275 and The Type II error has a computed value of 0.50 based on probability.

What is probability?

(a) Type I error probability if the critical region is defined as x < 11.5 kilograms

[tex]P(Type\ Error)=P\ xbar < 11.5\ when\ mu=12)\\\\[/tex]

[tex]=P(Z < \frac{11.5-12}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z < -2)\\\\=0.02275[/tex]

The Type I error's computed value is 0.02275.

Observe that there is a 2.275% likelihood of dismissing the null hypothesis if it is true based on the Type I error probability.

(b) β for the case in which the true mean elongation is 11.25 kilograms.

[tex]b= P(Type II Error)\\\\=P(xbar\geq 11.5\ when\ mu_1\ =11.25)[/tex]

[tex]=P(Z \geq \frac{11.5-12}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z \geq 1)\\\\= 1-P(Z < 1)\\\\=1-0.8413\\\\=0.1587[/tex]

The Type II error's computed value is 0.1587.

Observe that there is a 15.87% possibility of refusing to disprove the null hypothesis when it is untrue based on the Type II error probability.

(c)  β for the case in which the true mean is 11.5 kilograms.

[tex]b= P(Type II Error)\\\\=P(xbar\geq 11.5\ when\ mu_1\ =11.25)[/tex]

[tex]=P(Z \geq \frac{11.5-11.5}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z \geq 0)\\\\= 1-P(Z < 0)\\\\=1-0.50\\\\=0.50[/tex]

The Type II error has a computed value of 0.50.

Observe that there is a 50% possibility of neglecting to disprove the null hypothesis when it is untrue based on the Type II error probability.

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Answer:

b = 1

Step-by-step explanation:

5 = 5b

b = 1

The points which are a distance of 13 units from (12,5) are (0,0)and (24,0).

The distance between two point with co-ordinates ([tex]x_1,y_1[/tex])  and ([tex]x_2,y_2[/tex]) is calculated by the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

All points on the x-axis have their y-coordinates equal to 0. So let the point (a,0) be a point on the x-axis such that the distance from (12,5) to (a,0) is 13 units.

Let us substitute the values into the distance formula to calculate the values of a so that we can find the two points.

[tex]13=\sqrt{(12-a)^2+(5-0)^2}[/tex]

Squaring both sides we get:

[tex]or,13^2=144-24a+a^2+25\\or,169-144-25-24a+a^2\\or,a^2-24a=0\\or,a(a-24)=0[/tex]

Now either a=0 or (a-24)=0

Therefore either a=0 or a=24.

Therefore the two points (0,0) and (24,0) .

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The Remaining length of the cardboard piece is  94.15 cm.

According to the statement

We have to find that the length of the remaining piece.

So, For this purpose, we know that the

Length is defined as the measurement or extent of something from end to end.

From the given information:

Four pieces measuring 29.cm, 19.62cm, 32.49cm and 24.74cm are cut from a board that is 200cm long.

Then

Total length of the four pieces become:

Four pieces length = 29+19.62+ 32.49 + 24.74

Four pieces length = 105.85 cm

Then the

Remaining length of the cardboard piece = total length - length of the four pieces.

Remaining length of the cardboard piece = 200 - 105.85

Remaining length of the cardboard piece = 94.15cm.

So, The Remaining length of the cardboard piece is  94.15 cm.

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Answer:

3x±4=2x±8

3x-2x=8-4

x=4

Step-by-step explanation:

Hope its helpful for you

Answer:  1

Step-by-step explanation:

here only taking the power of x in account

we have

[tex]\frac{x}{y} + \frac{y}{x}-\frac{x}{y} - \frac{y}{x}[/tex]

=0

since  [tex]x^{0}[/tex] =1

so solution is 1

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Answer:

Step-by-step explanation:

Given the quadratic equation y = 2x² +7x -9, you want the coordinates of the x- and y-intercepts.

The values of x where y=0 can be found by factoring the equation.

  y = (2x +9)(2x -2)/2 = (2x +9)(x -1)

The constants 9 and -2 in the binomial terms are factors of the product of leading and trailing coefficients (2)(-9) = -18. Those factors are chosen because their sum is 7, the middle coefficient.

The x-intercepts are the values of x that make these factors zero:

  2x +9 = 0   ⇒   x = -9/2

  x -1 = 0   ⇒   x = 1

Points A and B are ...

The y-value at point C is where x=0. It is the constant in the quadratic equation.

  y = 2(0²) +7(0) -9 = -9

Point C is ...

Effective Annual Yield : 10.5%

Effective Annual Yield

​ In the case of monthly  there are 12 months in a year. Therefore, making n=12. So, the effective annual yield if the interest 10% is compounded monthly is given as r=10, n=12;

           [tex]Y= (1 +\frac{r}{n}) ^{n}-1 = (1 +\frac{0.1}{12}) ^{12}-1\\ =(1 +0.00833) ^{12}-1\\ =(1.00833) ^{12}-1\\ = 1.10466 -1\\ = 0.10466[/tex]

   But, this is decimal form, to convert it to the percentage form we have to multiply the decimal form by 100 and finally, place "%" after the last digit of the number. That is,

                                       Y= 0.10466× 100%

                                       Y=10.46% or 10.5%

                     Effective Annual Yield : 10.5%

The value of x is 64 and the property that justifies that action is  the multiplication property of equality.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

Mathematical statements are called expressions if they contain at least two terms that are connected by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

As an illustration, the expression x + y is one where x and y are terms with an addition operator in between. There are two types of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.

We have an expression:

x/4 = 16

Apply Multiplication property of equality:

Multiply by 4 on both sides:

(x/4)4 = 16×4

x = 64

Thus, the value of x is 64 and the property that justifies that action is  the multiplication property of equality option (1) is correct.

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Answer:

A. 5,420

Step-by-step explanation:

4 in 542 is in the tens place and 4 in 5,420 is in the hundreds.

The number A. 5420 has a 4 that is 10 times greater than the 4 in 542.

The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.

Each digit has a face value and a place value.

The expanded form of 542 is 5×100 + 4×10 + 4.

So, 10 times greater than it should be a multiple of 100 or a digit in the hundreds place.

From the given options the number 5420 in the expanded form is,

5×1000 + 4×100 + 2×10 + 0.

So, The number 5420 has a 4 that is 10 times greater than the 4 in 542.

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La tabla completa es:

Numero      opuesto        valor absoluto.

  -5                   5                        5

   10                  -10                     10

  -56                 56                      56

  34                  -34                     34

En este caso tenemos la tabla:

Numero      opuesto        valor absoluto.

  -5

   10

  -56

  34

Para completar la tabla debemos encontrar los opuestos de esos numeros, el opuesto de cualquier numero real es un número con el mismo valor absoluto pero distinto signo, entonces podemos completar la tabla:

Numero      opuesto        valor absoluto.

  -5                   5

   10                  -10

  -56                 56

  34                  -34

Ahora debemos encontrar los valores absolutos, eso es el mismo número pero en forma positiva, completando eso obtendremos:

Numero      opuesto        valor absoluto.

  -5                   5                        5

   10                  -10                     10

  -56                 56                      56

  34                  -34                     34

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Answer:

1687500

Step-by-step explanation:

If their sum is 27,000,000 then their are millions of ways to find this answer. like one can be 13500000. But that answer is obviously incorrect. If you divide that by 8, your answer will be 1687500.