Find the value of z.
X
7
Y
3
Z

Z = √[?]

Answer:

6x<48

Step-by-step explanation:

ik its this one because theres 48 players and 6 teams both are even numbers so if you did 48÷6x you would get 8 but theres fewer than 48 kids

Answer:

40

Step-by-step explanation:

[tex]\frac{RW}{24}=\frac{30}{18} \\ \\ RW=40[/tex]

Hi

if he has 24 point he scored 24/ 6 = 4 times

As he score points every 11 ennemies,

He had : 4*11= 44 ennemies.

a. The area on [0, 10] is that of a trapezoid with bases 5 and 15 and height 10, so

[tex]\displaystyle \int_0^{10} f(x) \, dx = \frac{5+15}2\cdot10 = \boxed{100}[/tex]

b. By linearity of the definite integral, we have

[tex]\displaystyle \int_0^{25} f(x)\,dx = \int_0^{10} f(x)\,dx + \int_{10}^{25} f(x)\,dx[/tex]

and the area on [10, 25] is another trapezoid with bases 15 and 7.5 and height 15, so that

[tex]\displaystyle \int_{10}^{25} f(x)\,dx = \frac{15+7.5}2\cdot15 = 168.75[/tex]

Then the total area on [0, 25] is

[tex]\displaystyle \int_0^{25} f(x)\,dx = \boxed{268.75}[/tex]

c. The area on [25, 35] is that of a triangle with base 10 and height 15. However, [tex]f(x)<0[/tex] on this interval, so we multiply this area by -1 to get

[tex]\displaystyle \int_{25}^{35} f(x)\,dx = -\frac{10\cdot15}2 = \boxed{-75}[/tex]

d. The area on [15, 25] is the same as the area on [25, 35] because it's another triangle with the same dimensions. But the area on [15, 25] lies above the horizontal axis, so

[tex]\displaystyle \int_{15}^{25} f(x)\,dx = \int_{15}^{25} f(x)\,dx + \int_{25}^{35} f(x)\,dx = \boxed{0}[/tex]

e. The plot of [tex]|f(x)|[/tex] lies above the horizontal axis. We know the area on [15, 25] is the same as the area on [25, 35], but now both areas are positive, so

[tex]\displaystyle \int_{15}^{35} |f(x)| \, dx = \int_{15}^{25} f(x)\,dx - \int_{25}^{35} f(x)\,dx = 2 \int_{15}^{25} f(x)\,dx = \boxed{150}[/tex]

f. Changing the order of the limits in the integral swaps the sign of the overall integral, so

[tex]\displaystyle \int_{10}^0 f(x)\,dx = -\int_0^{10} f(x)\,dx = \boxed{-100}[/tex]

The area of the square in terms of x unit is x²/ 2

The expression for the diagonal of a square is written as'

d^2=s^2+s^2

Where

But from the given question we have that the diagonal of the said square is 'x'

Now, let's substitute the values into the expression of the diagonal given above,

d^2=s^2+s^2

d² = s² + s²

We have,

x² = s² + s²

Collect and add like terms

x² = 2s²

But we know that s² represents the area of the square

So,

x² = 2 × area

Make 'area' subject of formula

Area = x²/ 2

Now, we can say that the area of the square in terms of x units is x²/2

Therefore, the area of the square in terms of x unit is x²/ 2

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The value of x which S(x) is a global minimum is x = 1/2

From the question, we have:

This means that:

S(x) = 1/x + 4x^2

From the question, we understand that x is a positive number.

This means that the domain of x is x > 0

As a notation, we have (0, ∞)

Recall that:

S(x) = 1/x + 4x^2

Differentiate the function

S'(x) = -1/x^2 + 8x

Set to 0

-1/x^2 + 8x = 0

Multiply through by x^2

-1 + 8x^3 = 0

Add 1 to both sides

8x^3 = 1

Divide by 8

x^3 = 1/8

Take the cube root of both sides

x = 1/2

To prove the point is a global minimum, we have:

S'(x) = -1/x^2 + 8x

Determine the second derivative

S''(x) = 2/x^3 + 8

Set x = 1/2

S''(x) = 2/(1/2)^3 + 8

Evaluate the exponent

S''(x) = 2/1/8 + 8

Evaluate the quotient

S''(x) = 16 + 8

Evaluate the sum

S''(x) = 24

Because S'' is positive, then the single critical point is a global minimum

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Answer:

If the question asked mixed fraction:

7/3 = 2 1/3

4/2 = 2

Step-by-step explanation:

I converted it to mixed fraction because it is already improper fraction.

Answer:

B. 45.7

Step-by-step explanation:

20/6=3.33

3.33*14=46.62

46.62 is closest to 45.7

Therefore, 45.7 is the best answer.

Answer:

AD-DB

Step-by-step explanation:

Because ti joins altogether

Answer:

4th option

Step-by-step explanation:

given Δ ABD and Δ CBD are congruent then corresponding sides are congruent, that is

AB ≡ BC

Answer:

20 minutes

Step-by-step explanation:

Rate x Time = jobs

The rate is 3 jugs/ 4 minutes.

The number of jobs is 15

Use T for time

3/4T = 15  Multiply both sides by 4/3 to get the variable T by itself

(4/3) 3/4 T = 15(4/3)

T = 20 minutes

Answer:

See below

Step-by-step explanation:

Salary (y)       =    30 000   +  50 x        

y = 30 000 + 50x     where x is the number of sales

How many sales for 50 000 ?

50 000 = 30 000 + 50 x

20 000 = 50 x

x = 400 sales

I. Model Problems

A linear model is a linear equation that represents a real-world

scenario. You can write the equation for a linear model in the same way

you would write the slope-intercept equation of a line. The y-intercept

of a linear model is the quantity that does not depend on x. The slope is

the quantity that changes at a constant rate as x changes. The change

must be at a constant rate in order for the equation to be a linear model.

Example 1 A machine salesperson earns a base salary of $40,000 plus

a commission of $300 for every machine he sells. Write an equation

that shows the total amount of income the salesperson earns, if he sells

x machines in a year.

The y-intercept is $40,000; the salesperson earns a $40,000 salary in a

year and that amount does not depend on x.

The slope is $300 because the salesperson’s income increases by $300

for each machine he sells.

Answer: The linear model representing the salesperson’s total income

is y = $300x + $40,000.

Linear models can be used to solve problems.

Example 2 The linear model that shows the total income for the

salesperson in example 1 is y = 300x + 40,000. (a) What would be the

salesperson’s income if he sold 150 machines? (b) How many

machines would the salesperson need to sell to earn a $100,000

income?

(a) If the salesperson were to sell 150 machines, let x = 150 in the linear

model; 300(150) + 40,000 = 85,000.

Answer: His income would be $85,000.

(b) To find the number of machines he needs to sell to earn a $100,000

income, let y = 100,000 and solve for x:

Answer:

About 1/4 scored higher and 3/4 scored lower

Step-by-step explanation:

84 is on the right side line

Each line represents 25 % of the score

It is 75 percent ( 3 lines) of the way

She scored higher than 75% of the students and lower than 25% of the students

About 1/4 scored higher and 3/4 scored lower

Answer: 425

Step-by-step explanation:

Think of this problem as 4% of a number equals 17

since in math, the word 'of' usually means multiplication, we can think of it that way.

Also, 4% = 0.04

[tex]x*0.04=17[/tex]

[tex]0.04x=17[/tex]

[tex]\frac{0.04x}{0.04} =\frac{17}{0.04}[/tex]

[tex]x=425[/tex]

Answer:

-181 - 79x

Step-by-step explanation:

I am not sure your comment fits the given problem.

I get the following approach and solution :

T(1 + 4x) = 1×a + 4x×b = 2 + 2x

a = 2 + 2x - 4xb

T(4 + 15x) = 4×a + 15x×b = -3 + 3x

4×(2 + 2x - 4xb) + 15xb = -3 + 3x

8 + 8x - 16xb + 15xb = -3 + 3x

11 + 5x - xb = 0

11 + 5x = xb

b = (11 + 5x)/x

a = 2 + 2x - 4x(11 + 5x)/x = 2 + 2x - 44 - 20x = -42 - 18x

T(3 - 5x) = 3×a - 5xb = 3(-42 - 18x) - 5x(11 + 5x)/x =

= -126 - 54x - 55 - 25x = -181 - 79x

control :

T(1 + 4x) = a + 4xb = -42 - 18x + 44 + 20x = 2 + 2x

T(4 + 15x) = 4a + 15xb = -168 - 72x + 165 + 75x = -3 + 3x

Answer:

Equation of a line has a form as below:

y=ax+b

Given:

b ( the y intercept)= -5

a ( the slope)= -3

so, y= -3x -5 is the equation of the line.

Please give me Brainliest [:)

Using linear functions, we have that:

A linear function is modeled by:

y = mx + b

In which:

We consider the initial values as the y-intercepts. Randall's house decayed 58 thousand dollars in 3 years, hence the slope is:

m = -58/3 = -19.

Hence the function for the value, in thousands of dollars, is:

f(t) = -19t + 234.

Damien's initial value was of 110, and it increased 44 thousand in 3 years, hence the slope is:

m = 44/3 = 14.67

Hence the function for the value of Damien's house, in thousands of dollars, in t years after 2003, is:

g(t) = 14.67t + 110

They will have the same value when:

f(t) = g(t)

-19t + 234 = 14.67t + 110

33.67t = 124

t = 124/33.67

t = 3.68

They will have the same value in 3.68 years since the start of 2000.

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Answer:

x³+3x²-28x

Step-by-step explanation:

(x-4)(x-0)(x+7)

(x-4)(x)(x+7)

(x-4)(x+7)=(x²+3x-28)

(x²+3x-28)(x)=x³+3x²-28x

We get $593,940

Answer:

Solution Given:

1 second = $ 521

19 minutes=19*60=1140 seconds

1140 seconds =$521*1140 =$593,940

Answer:

$593,940

Step-by-step explanation:

$521 for every second

First, you need to multiply 60 with 19, since there are 60 seconds in a minute.

We get: 60 × 19 = 1140

Now multiply $521 with 1140

We get: 521 × 19 = 593,940

Final result: $593,940

Hope this helps :)

Considering the given quadratic equation for the number of automobiles, we have that:

A) The equation to be solved is: x² + 12x - 133 = 0

B) The first year was of 1987.

A quadratic function is given according to the following rule:

[tex]y = ax^2 + bx + c[/tex]

The solutions are:

In which:

[tex]\Delta = b^2 - 4ac[/tex]

The number of automobiles, in x years after 1980, is modeled by:

A(x) = 2x² + 24x + 300.

The amount is of 566,000 when A(x) = 566, hence the equation is:

2x² + 24x + 300 = 566

2x² + 24x - 266 = 0

x² + 12x - 133 = 0

The coefficients are a = 1, b = 12, c = -133, hence:

Time is a positive measure, hence we take the solution of 7, 1980 + 7 = 1987, which is the year.

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[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: cm {}^{3} = \cfrac{1}{1000000} \: \: m {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: cm {}^{3} = \cfrac{1}{10 {}^{6} } \: \: m {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: cm {}^{3} = {}{10 {}^{ - 6} } \: \: m {}^{3} [/tex]

Using Euler's Formula, the number of faces is given by: 8.

It states that the number of vertices, edges and faces is related by the following equation:

V - E + F = 2.

In this problem, the parameters are given as follows:

E = 15, V = 9.

Hence the number of faces is given by:

V - E + F = 2.

9 - 15 + F = 2

F - 6 = 2

F = 8.

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Answer:

Length = 30ft, Width = 5ft

Step-by-step explanation:

Let x be the width.

Area of Rectangle = Length * Width

Given from the information in the question,

Length = 6x ft

Width = x ft

Substitute the values into the formula:

6x * x = 150

[tex]6x^{2}[/tex] = 150

[tex]x^{2} =\frac{150}{6}[/tex]

[tex]x^{2} =25[/tex]

[tex]x=\sqrt{25}[/tex]

x = 5 ft.

Therefore,

Length = 6 * 5 = 30ft

Width = 5 ft.

Answer:

105°

Step-by-step explanation:

EFGH is an isosceles trapezoid (a trapezoid with congruent legs is an isosceles trapezoid)

∠G=75° (base angles of an isosceles trapezoid are congruent)

∠F=105° (same-side interior angles theorem)

Answer:

80

Step-by-step explanation:

Let the number of adult tickets sold be a and the number of student tickets sold be s.

Substituting the first equation into the second,

[tex]2a+a-20=220 \\ \\ 3a-20=220 \\ \\ 3a=240 \\ \\ a=80[/tex]

Algebraic expressions are mathematical statements that consist of both number(s) and alphabet(x). Thus the number of stamps in the book is 66[tex]\frac{43}{60}[/tex] (67).

Algebraic expressions are mathematical statements that consist of both number(s) and alphabet(x). Majorly, the alphabet in the expression is referred to as the unknown value which has to be determined.

When the power of any of the alphabets contained in an algebraic expression is more than one, then it can be referred to as a polynomial.

In the given question, let the number of stamps in the book be represented by N.

So that;

N - 5/12 + 24 + 15 + 3/10 + 27 = 0

N - (5/12 + 24 + 15 + 3/10 + 27) = 0

N - [tex]\frac{8006}{120}[/tex] = 0

N - 66[tex]\frac{43}{60}[/tex] = 0

N = 66[tex]\frac{43}{60}[/tex]

   = 66.72

N ≅ 67

Therefore the number of stamps in the book is approximately 67.

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Answer: 120

Step-by-step explanation: The pattern is a very weird pattern, but still a pattern.

The pattern starts with number 2 to the power of 2, and then subtract 1. This is 3.

Then we keep using this same pattern, keeping the exponent the same but increasing the numbers. 3^2 is 9, and subtracting 1 gives 8.

Then the pattern skips two numbers 4 and 5. So for every 2 numbers that is squared and subtracted 1, 2 other numbers are not apart of the pattern.

So the next is 6^2, which is 36-1 which is 35.

Then 7^2 is 49 and subtracting 1 is 48.

Then, ignoring the next 2 numbers because of the pattern, we have 10^2 which is 100, and subtracting 1 is 99.

Now the next number is 11^2 which is 121, and subtracting 1 is 120.

Hope this helped! If it did, please mark as Brainliest.

Answer:

  y²/324 -x²/36 = 1

Step-by-step explanation:

Where (0, ±b) are the ends of the transverse axis and y = ±(b/a)x describes the asymptotes, the equation of the hyperbola can be written as ...

  y²/b² -x²/a² = 1

Here, we have transverse axis endpoints of (0, ±18) and asymptotes of y = ±3x, so we can conclude ...

  b = 18

  b/a = 3   ⇒   a = 18/3 = 6

The equation of the hyperbola in standard form is ...

  y²/324 -x²/36 = 1

[tex]y = \frac{ - 1}{4} x + \frac{1}{2} [/tex]

Answer:

8.5 years

Step-by-step explanation:

It will take 102 more payments

8.5 years

Interest will be $26,239

It would take approximately 15 years to pay back the loan of 95000 which is compounding monthly and the rate of interest is 6%.

Compound interest is basically the interest which is calculated on the primcipal with addition to aggregate interest. The formula of sum after compounding is as under:

S=P[tex](1+r/n)^{nt}[/tex] in which P is principal amount, r is rate per annum, n is number of times of compounding and t is time period.

We have been given that the amount of loan is $95000, installment is $1200 , rate of interest is 6% and it is compounded monthly.

First of all we have to find the effective rate=6%/12=0.005.

The future value of 95000 at a rate of 6% compunded monthly should be equal to the amount of all installments. So,

95000[tex](1+0.005)^{12n}[/tex]=12*1200*n

95000[tex]1.005^{12n}[/tex]=14400n

[tex]1.005^{12n}[/tex]=14400n/95000

[tex]1.005^{12n}[/tex]=0.1515n

We have to make graph of this to find the value of n which after graphing will come approx 15.

Hence it would take 15 years to pay back loan amount.

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