Given the following expressions: which expression result in an irrational number?

Answer:

Step-by-step explanation:

The parallel lines create similar triangles, so corresponding sides are proportional.

  AC/AD = AB/AE

  (x -5)/(2x +3) = 15/(15+40)

Cross-multiplying gives ...

  55(x -5) = 15(2x +3)

  55x -275 = 30x +45 . . . . eliminate parentheses

  25x = 320 . . . . . . . . . . . . add 275-30x

  x = 12.8 . . . . . . . . . . . . . . .divide by 25

__

CD = AD -AC = (2x +3) -(x -5) = x +8 = 12.8 +8

CD = 20.8

Answer: 18 cm^2

Step-by-step explanation:

There are four equal triangle and a rectangle.

Formula of a rectangle = b * h = 2*3 = 6

Formula of triangle =  [tex]\frac{bh}{2}[/tex] but there four of them so we times them by 4, this leaves us with 2 (b * h) = 2(2*3) = 12

Area of pentagon = area of all triangles + rectangle

Area of pentagon = 12 + 6 = 18

Hope this helps.

Answer:

* Area of Pentagon ⇒ 18 cm^2 *

Step-by-step explanation:

Two of this triangles area are the same provided they are present with similar height and base length. They form a larger triangle such that, for the simplicity, let us start with finding the area of this larger triangle;

Area of Triangle ⇒ 1/2 * base * height ⇒ 1/2 * 6 * 2 ⇒ 6 cm^2

Now there is a similar issue with another two triangles, but they are present to not form a larger triangle. We could imagine that they are next to one another however, and solve for this larger triangle's area;

Area of Triangle ⇒ 1/2 * base * height ⇒ 1/2 * 4 * 3 = 6 cm^2

The last remaining shape is a rectangle, present with dimensions 3 by 2 centimeters such that it's area would be;

Area of Rectangle ⇒ base * height ⇒ 3 * 2 = 6 cm^2

The area of the pentagon is, consecutively;

Area of Pentagon ⇒ 6 + 6 + 6 = 18 cm^2

Answer:

45.5 sq. feet

Step-by-step explanation:

Area of trapezoid is given by 1/2(sum of parallel sides) * height of trapezoid.

In the problem

Parallel sides are  bottom and top sides with  length of 8.5 feet and 5.5 feet

Thus sum of Parallel sides =  8.5 feet + 5.5 feet = 14 feet

Height =  6.5 feet.

Thus,

area of  trapezoid = 1/2*(14)* 6.5 feet = 7*6.5 feet = 45.5 sq. feet

The area of the trapezoid is whose sides are 8.5 feet and 5.5 feet with a height of 6.5 feet is 45.5 feet squared.

A trapezoid is a quadrilateral with parallel opposite sides and a height.

Mathematically, the area of a trapezoid can be calculated by using the expression:

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(a+b)\times h}[/tex]

where:

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(8.5+5.5)\times 6.5}[/tex]

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(14)\times 6.5}[/tex]

[tex]\mathbf{Area \ of\ a \ trapezoid = 45.5 \ ft^2}[/tex]

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Answer:

y= -1/2 + 1

Step-by-step explanation:

It starts at +1 which is the B in y=mx+b. B is where a point touches the y-axis.

starting at a point: (-2,2), it goes down 1, and right 2. which now the slope is -1/2 because it is going down.

Answer:

The difference between the heights of the poles is 10m

Step-by-step explanation:

The distance between poles is 24 m

The length of the cable is 26m

You first use the Pythagoras' theorem to calculate the vertical distance between the end of one pole and the end of the other one.

[tex]c_2=\sqrt{h^2-c_1^2}\\\\c_2=\sqrt{(26m)^2-(24m)^2}=\sqrt{100}m=10m[/tex]

The difference between the heights of the poles is 10m

The higher pole has height of 50m

Then, the lower pole has a height of 50m - 10m = 40m

Answer:

x = 15

Step-by-step explanation:

3x - y = 30

Let y = 15

3x - 15 = 30

Add 15 to each side

3x-15+15 = 30+15

3x= 45

Divide each side by 3

3x/3=45/3

x = 15

Answer

Step-by-step explanation:

[tex]3x - y = 30 \\ 3x = 30 + y \\ x = \frac{30 + y}{3} \\ \\ [/tex]

[tex]y = 15[/tex]

[tex]x = \frac{30 + y}{3} \\ x = \frac{30 + 15}{3} \\ x = \frac{45}{3} \\ x = 15[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

72ft²

Step-by-step explanation:

Calculate the area of each face and then sum them.

area of base = 4 × 5 = 20 ft²

area of back = 5 × 3 = 15 ft²

area of sloping face = 5 × 5 = 25 ft²

area of 2 triangular faces = 2 ×  × 4 × 3 = 4 × 3 = 12 ft²

Thus

surface area = 20 + 15 + 25 + 12 = 72 ft²

Answer:

  $5764.14

Step-by-step explanation:

The future value formula is useful here.

  FV = P(1 +r/n)^(nt)

where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.

  FV = $5000(1 +.0475/12)^(12·3) = $5764.14

The account will be worth $5764.14 after 3 years.

Answer:

  2500 ft²

Step-by-step explanation:

The missing area at lower right in the diagram has dimensions ...

  (4 -2 1/4) by (3 -1 3/4) = (1 3/4) by (1 1/4)

Then the area of that "missing" space is ...

  (1.75)(1.25) = 2.1875 . . . . square inches.

The area of the enclosing rectangle is ...

  (4 in)(3 in) = 12 square inches

Then the area in the diagram representing the store is ...

  12 in² -2.1875 in² = 9.8125 in²

__

Each square inch on the diagram represents an actual area of ...

  (1 in)×(1 in) ⇒ (16 ft)×(16 ft) = 256 ft²

Then the actual store area is ...

  9.8125(256 ft²) = 2512 ft²

Rounded to the nearest 50 ft², this is 2500 ft².

Hey Mate

Substitute

8(.25)-1+14

2-1+14

1+14

15

Hope it helps

So the right answer is 15.

Look at the attached picture

Hope it will help you

Answer:

For the first question the answer is B

For the second question the answer is 15

Step-by-step explanation:

In the picture we can see that 45 is equal to 3 z's, which can also be written as 45 = 3z. Now that we know that 45 = 3z, we can divide both sides by 3 so that we know what z equals.

45 (/3) = 3z (/3)

15 = z

Now we can see that z is equal to 15

Answer:

The answer is B

Step-by-step explanation: 45 is =3z because it shows three triangles in the expression and three z variables so when you add all the variable together you get 3z, hence 45=3z. And the value of z is 1 because like all variables unless the expression accounts for the number of variable they all start out to have only one.

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

They score is above 24 on the math portion of the​ exam

b)

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

Step-by-step explanation:

Step(i):-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

test statistic

[tex]Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }[/tex]

[tex]Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397[/tex]

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576[/tex]

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

They score is above 24 on the math portion of the​ exam

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96[/tex]

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at  0.05% level of significance

They score is below 24 on the math portion of the​ exam

Answer:

15

Step-by-step explanation:

in multiplication we have given form of expression

Dividend(D) = Quotient(Q) x Divisor(d) + Remainder(r)

The number which is getting divided is called dividend

divisor is the number which divides the dividend.

quotient is the No. of times a dividend is divisible by divisor.

if dividend is not completely divisible by divisor then leftover after quotient * divisor is remainder.

value of remainder should be always less than divisor.

In  the problem given

Dividend is 75

divisor is 5

so by the given above expression

Dividend(D) = Quotient(Q) * Divisor(d) + Remainder(r) ----> 1

we know that 15*5 = 75

75 = 15*5 + 0

comparing with the  expression 1

we have q = 15

r = 0

Thus, quotient is 15.

Answer:

[tex]z=\frac{0.584-0.510 -0.15}{\sqrt{0.551(1-0.551)(\frac{1}{250}+\frac{1}{202})}}=-1.615[/tex]    

The p value would be given by:

[tex]p_v =P(Z<-1.615)= 0.0531[/tex]    

The p value if is compared with a significance of 5% we see that is higher than 0.05 so then at this significance level we have enough evidence to conclude that the true difference in the proportion of males in favor is 15% more than the % of females in favor

Step-by-step explanation:

Information provided

[tex]X_{1}=146[/tex] represent the number of male in favor

[tex]X_{2}=103[/tex] represent the number of female in favor

[tex]n_{1}=250[/tex] sample of males selected

[tex]n_{2}=203[/tex] sample of females selected

[tex]p_{1}=\frac{146}{250}=0.584[/tex] represent the proportion of males in favor

[tex]p_{2}=\frac{103}{202}=0.510[/tex] represent the proportion of females in favor

[tex]\hat p[/tex] represent the pooled estimate of p

z would represent the statistic

[tex]p_v[/tex] represent the value

System of hypothesis

We want to test if the proportion of males in favor is 0.15 point above the proportion of females, the system of hypothesis would be:    

Null hypothesis:[tex]p_{1} - p_{2} \geq 0.15[/tex]    

Alternative hypothesis:[tex]p_{1} - p_{2} <0.15[/tex]    

The statistic is given by:

[tex]z=\frac{p_{1}-p_{2} -0.15}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex]   (1)  

Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{146+103}{250+202}=0.551[/tex]  

Replacing the info given we got:

[tex]z=\frac{0.584-0.510 -0.15}{\sqrt{0.551(1-0.551)(\frac{1}{250}+\frac{1}{202})}}=-1.615[/tex]    

The p value would be given by:

[tex]p_v =P(Z<-1.615)= 0.0531[/tex]    

The p value if is compared with a significance of 5% we see that is higher than 0.05 so then at this significance level we have enough evidence to conclude that the true difference in the proportion of males in favor is 15% more than the % of females in favor

Answer:

It will take for Brian 7.14 years.

Step-by-step explanation:

I=PRT

4,000=8,000*7/100*T

4,000=560T (then you divide 560 from both sides.)

T=7.14

Answer:

16k so it is D

Step-by-step explanation:

Answer:

D) 239

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.575[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Required sample size:

Is n

n is found when [tex]M = 6[/tex]

We have that [tex]\sigma = 36[/tex]

So

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

[tex]6 = 2.575*\frac{36}{\sqrt{n}}[/tex]

[tex]6\sqrt{n} = 36*2.575[/tex]

Simplifying by 6

[tex]\sqrt{n} = 6*2.575[/tex]

[tex](\sqrt{n})^{2} = (6*2.575)^{2}[/tex]

[tex]n = 238.7[/tex]

We round up, and the answer is 239.

Answer:

Area of each triangle = 4 * 1.5 = 6  sq cm

Area of all 4 triangle = 4 * 6 = 24 sq cm

Step-by-step explanation:

Answer:

Game:  1/2 lb; Textbook:  2 lb

Step-by-step explanation:

Let the weights of game and textbook be g and t respectively.

Then 6g + 9t = 21 (pounds), and

8g + 9t = 22 (pounds)

Eliminate the variable t by subtracting the first equation from the second.  We get:

2g = 1 (pounds)

Thus, 1 game weights 1/2 lb.

Since 6g + 9t = 21, and g = 1/2 lb,

3 + 9t = 21, or 9t = 18

Then t = 18/9.  1 textbook weighs 2 lb

Answer:

Does this help?

Step-by-step explanation:

2 = 4x + 12 and angle 4 = 7x - 6

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 2

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Graph 2= 4x + 12

Slope: Undefined

y-intercept: No y-intercept

Plot each graph on the same coordinate system.

4=

2=

4=

2= 4x + 12

4= 7x − 6

Answer: exponential with a decay rate of

Step-by-step explanation:

Answer: The answer is dividing the radius in half

Step-by-step explanation: it is a half circle, remember that radius is half the diameter

The radius will be half the refracted base.

Radius is one of the important parts of a circle. It is the distance between the center of the circle to any point on its boundary. In other words, when we connect the center of a circle to any point on its circumference using a straight line, that line segment is the radius of that circle. A circle can have more than one radius because there are infinite points on its circumference. This means that a circle has an infinite number of radii and all the radii of the circle are equidistant from the center of the circle. The size of the circle changes when the length of the radius varies.

The radius of a circle can be found using the three basic radius formulas i.e., when the diameter, the area, or the circumference is known. Let us use these formulas to find the radius of a circle.

As, it is given that the  base of the refraction cup is a half circle.

So, to find the radius of the circle we have to we have to half the base.

This is because the radius is half of the diameter.

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Answer:

21

Step-by-step explanation:

9 = 3*3

10 = 5*2  

5*3 = 15

2*3 = 6

15 + 6 = 21

Answer:

Volume of a rectangular prism is 15.75 in.³ the base has an area 10.5 in.²

We also have:

Volume of a rectangular prism (V) = base area x height

=> height  = V/base area = 15.75/10.5 = 1.5 in

Hope this helps!

:)

Answer:

B

Step-by-step explanation:

Have a wonderful day hope this helps

Answer:

1. A wavelength of 320

2.the human eye 560

3.As the wavelength grows beyond 560

Step-by-step explanation:

W=560

The feature of the graph that most closely corresponds to it is W=560.

We have given that,

The human eye has different levels of sensitivity to different wavelengths of light.

We can measure this sensitivity by comparing it (in percentages) to the highest possible sensitivity. S(w), left parenthesis, w, right parenthesis models sensitivity as a function of wavelength w (in nanometers).

The distance between successive crests of a wave especially points in a sound wave or electromagnetic wave.

Therefore the correct matches are given below,

1. A wavelength of 320

2. The human eye 560

3. As the wavelength grows beyond 560

W=560

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Answer:

V=1872

Step-by-step explanation:

Area of base

A= l×w

A= (6+6)×(6+6)

A=144

Volume

V= area of base×height

V= 144×13

V=1872

Answer:

The correct answer is 468pi cubic units

For my plato fam

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

3(4)+1

12+1

13

Answer:

13

Step-by-step explanation:

Equation:

3n + 1

Let's substitute 4 into the equation as n.

3n + 1

3(4) + 1

Solve:

3(4) + 1

Multiply:

3(4) + 1

12 + 1

Add:

12 + 1

= 13

Therefore, the value of the expression is 13.

Answer:

no

Step-by-step explanation:

plug numbers into equation

2x + y = 6

2*0 + 7 = 6

0+7=6

7=6

False

Answer:

0.7 is not a solution for the equation 2x+y = 6

Step-by-step explanation:

If you calculate it....

2 x 0 + 7 = 6

does not make any sense because

2 x 0 = 0

0 + 7 = 7 not 6