What are the solutions to the system of equations graphed attached pic

Answer:

-2,-1,0,1,2,3

You just have to choose the numbers in between -3 to 3

Hope it helped ;)

Answer:

b = sqrt(57)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

8^2 + b^2 = 11^2

64+ b^2 = 121

Subtract 64

b^2 = 121-64

b^2 =57

Take the square root of each side

b = sqrt(57)

Answer:

x = -3 and x = 9.

Step-by-step explanation:

2|x - 3| - 5 = 7

2|x - 3| = 12

|x - 3| = 6

x - 3 = 6

x = 9

-(x - 3) = 6

-x + 3 = 6

-x = 3

x = -3

Hope this helps!

Answer:

x=9            x=-3

Step-by-step explanation:

2|x-3|-5=7

Add 5 to each side

2|x-3|-5+5=7+5

2|x-3|=12

Divide by 2

2/2|x-3|=12/2

|x-3|=6

There are two solutions to an absolute value equation, one positive and one negative

x-3 =6           x-3 = -6

Add 3 to each side

x-3+3 = 6+3      x-3+3 = -6+3

x=9                     x = -3

Answer:

73

Step-by-step explanation:

Since DA is the diameter, this means that you can divide the circle into two half-circles.  You will solve with the right half-circle.  A half-circle has a 180 total degrees.  Add up the values given and solve for x.

(2x) + (7x - 4) + (85) = 180

2x + 7x - 4 + 85 = 180

9x - 4 + 85 = 180

9x + 81 = 180

9x = 99

x = 11

Now that you have the value of x, solve for m∠CZB.

m∠CZB = 7x - 4

m∠CZB = 7(11) - 4

m∠CZB = 77 - 4

m∠CZB = 73

Answer:

0.02906

Step-by-step explanation:

number of questions =30

getting exactly right : 12

30C12 the number of possibilities

probability to get it right (1/4)^12

probability of failure =1-1/4=(3/4)^18     ( 18 = 30 questions -12 right )

P(12)=30C12*(1/4)^12*(3/4)^18=0.02906

hope it helps

Answer:

100

Step-by-step explanation:

height = constant/ width

Taking the point (5,20)

where 5 is the width and 20 is the height

20 = constant/ 5

Multiply each side by 5

5*20 = constant

100 = constant

Answer:

Answer D

Step-by-step explanation:

The formula is [tex]A = pi r(r+\sqrt{h^2+r^2})[/tex]. We have our r (radius) and h (height), so plugging it all in would give us A = (3.14)(5 + sqrt(12^2)+(5^2). After computing this, you would get answer D, 282.6.

Answer:

Step-by-step explanation:

First , let us rewrite the given equation into y= mx+b format

.y= -x +7

Slope is -1

Slope of the line perpendicular to the given equation is -(-1) ie., 1

Let us find the y-intercept by plugging in the values of x,y and slope into the equation y= Mx +b

1 = -1 +b

2 = b

Equation of the line perpendicular to the given equation and passing through (-1,1) is

y=x +2

Answer:

Step-by-step explanation:

Given the population increasing according to the exponential function defined by y = 3e^0.04x, where y is in millions and x is the number of years, to determine when the population will reach 4 million, the following steps must be carried out.

Since y is in millions, we will first substitute y = 4 into the modeled equation as shown;

4 =  3e^0.04x

Therefore to calculate x, we need to solve the expression 3e^0.04x = 4 for the value of x and this is arrived at by simply substituting y = 4 into the given equation.

To get x;

3e^0.04x = 4

e^0.04x  = 4/3

taking the ln of both sides

lne^0.04x = ln1.333

0.04x = 0.287

x = 0.287/0.04

x≈ 3.59 years

Answer:

176 mm

Step-by-step explanation:

The circumference of a circle is the perimeter of a circle (length of a circle). The circumference of a circle is given as:

Circumference (C) = 2πr = πd, where d is the diameter

The circumference of a circle with diameter 7 mm is:

C = πd = 22/7(7) = 22 mm

The length of the paper to round the cylindrical pencil is the same as the perimeter of the pencil which is 22 mm.

To round the pencil 8 times, the length of the paper needed = 8 × 22 mm = 176 mm

Answer:

1/200

Step-by-step explanation:

There are 24 - 0 + 1 = 25 integers from 0 - 24 (inclusive) and 7 - 0 + 1 = 8 integers from 0 - 7 (inclusive) so there are 25 * 8 = 200 possible outcomes from selecting a random integer from each interval. Of these outcomes, there is only one where you select a 5 both times, so the probability is 1/200.

The probability of selecting a 5 both​ times is 0.005

Given:

integer from 0 to 24 ​

integer from 0 to 7

Now let determine the probability of selecting a 5 both​ times

P(getting  5 both​ times)=?

P(1st time 5)=1/25

P(2nd time 5)=1/8

Hence:

P(getting  5 both​ times) =(1/25)(×1/8)

P(getting  5 both​ times)=0.04×0.125

P(getting  5 both​ times)=0.005

Inconclusion The probability of selecting a 5 both​ times is 0.005

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Answer:

Cosx is the answer.

Step-by-step explanation:

We have to simplify the trigonometric fraction given in this question.

[tex]\frac{\text{Cotx}}{\text{Cscx}}[/tex]

Further we can rewrite this ratio in the simplified form.

Since, Cot x = [tex]\frac{\text{Cosx}}{\text{Sinx}}[/tex] and Cosec(x) = [tex]\frac{1}{\text{Sinx}}[/tex]

Now substitute these simplified forms of Cotx and Cscx in the given fraction.

[tex]\frac{\text{Cotx}}{\text{Cscx}}[/tex] = [tex]\frac{\frac{\text{Cosx}}{\text{Sinx}}}{\frac{1}{\text{Sinx}}}[/tex]

      = [tex]\frac{\text{Cosx}}{\text{Sinx}}\times \text{Sinx}[/tex]

      = Cosx

Therefore, Cosx will be the answer.

Answer:

  7 units, 8 units

Step-by-step explanation:

Apparently, the cross section of each prism is a rectangle 1 unit by 2 units. Hence the total length will be ...

  (30 units³)/((1 unit)(2 units)) = 15 units

Two numbers that differ by 1 and have a sum of 15 are 7 and 8.

The lengths of the prisms are 7 units and 8 units.

Answer:

  19.9 days

Step-by-step explanation:

The amount remaining after d days is ...

  a = (1/2)^(d/7)

We want to find d when a = 0.14

  log(a) = (d/7)log(1/2)

  d = 7·log(0.14)/log(1/2) ≈ 19.855 ≈ 19.9

The farmers need to wait about 19.9 days for it to be safe.

Answer: (x^2-1)(x^2+1)=(x-1)(x+1)(x^2+1)

Step-by-step explanation:

(x²+1)(x²-1) are factors of polynomial x4-1 and  x=1,-1, i are the roots of x⁴ − 1.

A polynomial is an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

The given polynomial is Q(x) =  x⁴ − 1.

We can write it as (x²)²-1²

We have a algebraic formula which is

a²-b²=(a+b)(a-b)

Similarly

(x²)²-1²=(x²+1)(x²-1)

Now let us find the roots of factors (x²+1) and (x²-1)

x²+1=x=√-1=i,-i

x²-1=x=1,-1

The multiplicity of the roots is always one.

Hence (x²+1)(x²-1) are factors of polynomial x4-1 and  x=1,-1, i are the roots of x⁴ − 1.

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Answer:

[tex]\huge\boxed{x=\dfrac{5}{4}}[/tex]

Step-by-step explanation:

[tex]\left(\dfrac{1}{2}\right)^{x-1}=2^{3x-4}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\\left(2^{-1}\right)^{x-1}=2^{3x-4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{(-1)(x-1)}=2^{3x-4}\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\2^{(-1)(x)+(-1)(-1)}=2^{3x-4}\\\\2^{-x+1}=2^{3x-4}\iff-x+1=3x-4\qquad\text{subtract 1 from both sides}\\\\-x+1-1=3x-4-1\\\\-x=3x-5\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\-x-3x=3x-3x-5\\\\-4x=-5\qquad\text{divide both sides by (-4)}[/tex]

[tex]\dfrac{-4x}{-4}=\dfrac{-5}{-4}\\\\x=\dfrac{5}{4}[/tex]

Answer:

87.92 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is πr² · h

1. Set up the equation

π2² · 7

2. Solve

(3.14)(4)(7) = 87.92

The volume of a cylindrical water tank with a diameter of 4 feet  and a height of 7 feet is 87.92 cubic feet.

Given that, a cylindrical water tank with a diameter of 4 feet and a height of 7 feet.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

We know that, the volume of a cylinder πr²h

Here, radius =4/2 = 2 feet

The volume of a cylinder = 3.14×2²×7

= 3.14×4×7

= 87.92 cubic feet

Therefore, the volume of a cylindrical water tank with a diameter of 4 feet  and a height of 7 feet is 87.92 cubic feet.

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Answer:

you need to have values for w and v

but u basically have to do

MOVE V TO THE OTHER SIDE

SO

W/V=P

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

              ✌ -ZYLYNN JADE ARDENNE

Answer:

Step-by-step explanation:

children=c

adults=a

c+a=359

a=359-c

2.75c+6a=1621

2.75  c+6(359-c)=1621

2.75 c+2154-6c=1621

-3.25 c=1621-2154

-3.25 c=-533

[tex]-\frac{325}{100} c=-533\\-\frac{13}{4} c=-533\\c=-533 \times \frac{-4}{13} =41 \times 4=164 \\children=164\\adults=359-164=195[/tex]

Answersin -> 48

Step-by-step explanation:

solve for the length of the horizontal line by doing:

sin(55)=x/58

rearrange: x = sin(55) times 58 = 47.51

round UP to 48

Answer:

D)  ƒ(x) + 2 = x5 + 2

Step-by-step explanation:

You have the following function:

[tex]f(x)=x^5[/tex]           (1)

In the case of a vertical translation of the function on the coordinate system, you have that a translation of a units upward is obtained with the function f(x)+a. In the same way, a translation downward is obtined with f(x)-a.

Thus, a translation in the positive y direction of 2 units (a=2) is given by the following function.

D) ƒ(x) + 2 = x5 + 2

Answer:

D. ⅔

Step-by-step explanation:

I hope it helps :)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\ m = \frac{3 - 1}{5 - 2} = \frac{2}{3} \\ m = \frac{2}{3} [/tex]

Answer:

8

Step-by-step explanation:

you would just divide 32 by 4

4x = 32

x = 32/4

x=8

Answer:

[tex]\large\boxed{\sf \ \ \ x=8 \ \ \ }[/tex]

Step-by-step explanation:

Hello

4x=32 we can divide both parts by 4 so

   [tex]\dfrac{4x}{4}=\dfrac{32}{4}\\\\<=> x = 8[/tex]

Hope this helps

Answer:

A) Fail to Reject the Null Hypothesis

Step-by-step explanation:

Given that:

A local Internet provider wants to test the claim that the average time a family spends online on a Saturday is at least 7 hours.

sample size = 30

sample mean [tex]\bar x[/tex] = 6

standard deviation [tex]\sigma[/tex] = 1.5

level of significance ∝ = 0.05

The null hypothesis and the alternative hypothesis can be computed as:

[tex]\mathbf{ H_o: \mu \leq 7}[/tex]

[tex]\mathbf{ H_i: \mu \geq 7}[/tex]

The test statistic  can be computed as:

[tex]z = \dfrac{\bar x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \dfrac{6 -7} {\dfrac{1.5}{\sqrt {30}}}[/tex]

[tex]z = \dfrac{-1} {\dfrac{1.5}{5.477}}}[/tex]

[tex]z = \dfrac{-5.477} {1.5}[/tex]

z = -3.65

Given that ;

level of significance of 0.05;

z = -3.65

degree of freedom = 30 -  1 = 29

The p-value = P([tex]t_{29}[/tex] > - 3.65)

= 0.9998

Decision Rule: Reject [tex]H_o[/tex] if p-value is less than the level of significance

But since the p -value is greater than the level of significance, we conclude that There is no enough evidence to support the  Internet provider  claim, Therefore;

Fail to Reject the Null Hypothesis

Answer:

$1116

Step-by-step explanation:

Answer:

  b ≈ 101.52

Step-by-step explanation:

Given two sides and the angle between, the Law of Cosines is useful.

  b^2 = a^2 +c^2 -2ac·cos(B)

  b^2 = 105^2 +9^2 -2·105·9·cos(65°) ≈ 10307.251

  b ≈ √10307.251

  b ≈ 101.52

Hi there! :)

Answer:

Length = 10.5 m, width = 7 m.

Step-by-step explanation:

Given:

Perimeter, or P = 35 m

Ratio of l to w = 3 : 2

Since the ratio is 3 : 2, let l = 3x, and w = 2x.

We know that the formula for the perimeter of a rectangle is P = 2l + 2w. Therefore:

35 = 2(3x) + 2(2x)

35 = 6x + 4x

35 = 10x

x = 3.5

Plug this value of "x" into each expression to solve for the dimensions:

2(3.5) = w

w = 7 m

3(3.5) = l

l = 10.5 m

Therefore, the dimensions are:

Length = 10.5 m, width = 7 m.

Answer:

13 in.

Step-by-step explanation:

Theorem:

The segment that joins the midpoints of two sides of a triangle is parallel to the third side and half the length of the third side.

Each side of triangle MNK has as endpoints two midpoints of sides of triangle ABC, so each side of triangle MNK is half the length of a side of triangle ABC.

p = 26 in./2 = 13 in.

Answer:

mosses

Step-by-step explanation:

use socratic

Mosses are also known as the amphibian of the plant kingdom. The mosses were the first plant that can even survive on the land.

Conifers, pines, and flowering plants developed much later after the evolution of bryophytes.

Therefore, the mosses were the first plant that can even survive on the land.

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Answer:

[tex]\angle T \cong \angle R\\\angle S \cong \angle Q[/tex]

Step-by-step explanation:

According to the Parallelogram definition, every Parallelogram have a pair of congruent sides.  In this case, Namely [tex]\overline{RS} \cong \overline{TQ}[/tex]  and [tex]\overline{QR} \cong \overline{TS}[/tex]

(not listed as an option)

And the opposite angles are congruent too.

So

[tex]\angle T \cong \angle R\\\angle S \cong \angle Q[/tex]

∠R≅∠T relationship is true for the RSTQ parallelogram

A quadrilateral is a polygon having four sides, four angles, and four vertices.

A parallelogram is a quadrilateral with four sides.

a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides.

In parallelogram the opposite sides have equal length.

The opposite sides are congruent and the opposite angles are also congruent.

SR=TQ

ST=RQ

These sides are equal and

∠R≅∠T

∠S≅∠Q

In the given options only ∠R≅∠T is given, so we can consider this.

Hence ∠R≅∠T relationship is true for the RSTQ parallelogram

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