4x - 20 = -2(-3x + 22)

Answer:

448in^2

Step-by-step explanation:

The area of a trapezoid is the bases added divided by two times the height.

(32+24)/2*16=28*16=448 in^2

Answer:

-2

Step-by-step explanation:

G(x) = 3x -2

Let x = 0 to find the y intercept

G(0) = 3(0)-2

       =-2

Answer:

Y=7.05

X= 11.6

Step-by-step explanation:

Equate both equations to zero

3x+5y=70--------equation 1

7x-3y=60---------equation 2

From the equation above

a1=3, b1=5, c1=-70

a2=7, b2= -3, c2=-60

By applying the cross multiplication method

x/b1c2-b2c1= y/a2c1-a1c2= 1/a1b2-a2b1

x/(5)(-60)-(-3)(-70)=y/(7)(-70)-(3)(-60)=1/(3)(-3)-(7)(5)

x/-300-(-210)=y/-490-(-180)=1/-9(-35)

x/-510=y/-310=1/-44

x/-510=1/-44 , y/-310=1/-44

-44x=-510 , -44y= -310

x=11.6 , y=7.05

Thus, the value of x is 11.6 and the value of y is 7.05

Answer:

1.45

Step-by-step explanation:

1. divide both sides of the equation by 20 to get rid of the 2o on the right side

[tex]\frac{29}{20}[/tex]= p x [tex]\frac{20}{20}[/tex]

now u end up with 1.45=p

hope it helped

Answer:

(B)c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction

[tex]c=\dfrac{3 * \sin 45}{sin 40}[/tex]

Step-by-step explanation:

In Triangle ABC is shown.

[tex]\angle A B C=[/tex] 95 degrees

[tex]\angle B C A =[/tex] 45 degrees.

|AB|=c

|BC|=3.0 cm

[tex]\angle A+\angle B+\angle C=180^\circ\\\angle A+95+45=180\\\angle A=180-140=40^\circ[/tex]

Using the Law of Sines

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]\dfrac{3}{\sin 40}=\dfrac{c}{\sin 45}\\\\$Cross multiply\\c*\sin 40 =3 * \sin 45\\\\c=\dfrac{3 * \sin 45}{sin 40}[/tex]

The correct option is B.

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

6 times 9 times 3 = 162

Answer:

Step-by-step explanation:

You need to first find what x equals before you can solve the equation.

Answer:

36

Step-by-step explanation:

x^2+2xy+y^2

12x/2x=6=y

y^2=36

The answer is the last one: k = 5

Hope I helped and good luck!

Hello!

[tex]\boxed{ \bf The~degree~of~the~polynomial~is~B.~5}[/tex]

___________________________________________

The term with the greatest exponent determines the degree of the polynomial.

Let's list all the terms:

Out of all of these terms, the first one has the greatest exponent (5).

Answer:

Neither

Step-by-step explanation:

Both equations are x=10

Answer:

B) 2x - 5 = 2y + 14

Step-by-step explanation:

slope intercept form: y = mx + b

B) 2x - 5 = 2y + 14 is the only answer choice that does not isolate y, and place all other terms on the other side; therefore, is your answer.

~

Answer:

B

Step-by-step explanation:

slope intercept is a formula of y=mx+b all other answers proposed give a form of slope intercept, but with Choice B you have to do math to convert it to slope intercept.

Answer:

The solution to the equation are [tex]5+\frac{\sqrt{42} }{2\\} \ and \ 5-\frac{\sqrt{42} }{2\\}\\[/tex]

Both of his values are positive real numbers

Step-by-step explanation:

The general formula of a quadratic equation is expressed as [tex]ax^{2}+bx+c = 0\ where;\\x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]

Given the expression  0 = x² – 5x – 4 which can be rewritten as shown below;

x² – 5x – 4 = 0

Comparing this to the general equation; a = 1, b = -5, c= -4

To get the solution to the quadratic equation, we will use the general formula above;

[tex]x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}\\x = -(-5)\±\frac{\sqrt{(-5)^{2}-4(1)(-4) } }{2(1)}\\\\x = 5\±\frac{\sqrt{25+16 } }{2}\\x =5\±\frac{\sqrt{41} }{2}\\x = 5+\frac{\sqrt{42} }{2}\ and \ 5-\sqrt{42} /2\\[/tex]

Both of his values are positive real numbers

Answer: D.–0.7

Step-by-step explanation: hope this helps :)

Answer:

b is 9 and h is 18

Step-by-step explanation:

because its times 1.5 for each one so like 5 times 1.5 is 7.5 so we can see that it is times by 1.5

Answer:

A) b = 9

D) h = 18

Step-by-step explanation:

b/6 = 7.5/5 = h/12

b/6 = 1.5

b = 9

1.5 = h/12

h = 18

Answer:

3.7096902=area

Step-by-step explanation:

2.1x1.4=2.94m^2

2.94+(.5pi(.7^2))

Answer:

Step-by-step explanation:

well i guess if the decimal is on the left you would move it to the right twice

because if you only moved it once it'd become 1.0

and if you moved it to the left once it would also become 1.0

and if you moved it twice to the left you would be left with .10

pls mark me brainliest

Answer: The measures of the angles are 64.6 degrees and 25.4 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees.

x can be one angle, and (x-39.2) can be the other

x + (x-39.2) = 90

2x - 39.2 = 90

add 39.2 to both sides

2x = 129.2

divide each side by 2

x = 64.6

find the measure of the other angle

64.6-39.2 = 25.4

The measures of the angles are 64.6 degrees and 25.4 degrees.

Answer:

Step-by-step explanation:

Suppose two complementary angles of measures x And y then

x + y = 90 and y = x - 39.2

if we plug in  x - 39.2 instead of y in the equation x + y = 90 we get :

x + (x - 39.2) = 90

then

2x = 90 + 39.2

then

2x = 129.2

then

x = 129.2/2 = 64.6

therefore

y = 64.6 - 39.2

  = 25.4

______________________________

:)

Answer:

Probability of spinning a six, and I'm guessing on a spinner with six numbers would be 1 and 6, 1:6, or 1/6. Flipping tails would be 1 and 2, 1:2, or 1/2

Step-by-step explanation:

Answer:

no it is not.

Step-by-step explanation:

%increase = 40% while %loss = about 28.6%

Answer:

x-intercept: (13/3, 0)

y-intercept: (0, -13)

Step-by-step explanation:

y+1 = 3x-12

y= 3x-13

For y-intercept:

y= 3(0) -13

y=-13

For x-intercept:

0=3x-13

3x=13

x=13/3

The intercepts of the line will be,

x-intercept: (13/3, 0)

y-intercept: (0, -13)

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.

Given that y+1=3(x - 4). The x-intercept and y-intercept will be calculated as,

y+1 = 3x-12

y= 3x-13

For y-intercept:

y= 3(0) -13

y=-13

For x-intercept:

0=3x-13

3x=13

x=13/3

Therefore, the x-intercept is (13/3, 0) and the y-intercept is (0, -13).

To know more about an intercept follow

https://brainly.com/question/24990033

#SPJ5

Answer:

301.4

Step-by-step explanation:

Volume of a cylinder=pi*[tex]r^{2}[/tex]*h.  Assuming you want 3.14 for pi, we can substitue the 4m for r, 6 for h and 3.14 for pi.

V=3.14*[tex]4^{2}[/tex]*6

V=301.44

Since you want to round to nearest tenths, the answer is 301.4

The volume of the cylinder with the given value of radius and height to the nearest tenth place is 301.4 cubic meters.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (4m)² × 6m

V = 3.14 × 16m² × 6m

V = 301.4m³

The volume of the cylinder with the given value of radius and height to the nearest tenth place is 301.4 cubic meters.

Learn more on volume of cylinder here: https://brainly.com/question/16788902

Answer:

The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this question, we have that:

[tex]n = 1200, p = 0.3[/tex]

So

[tex]\mu = E(X) = np = 1200*0.3 = 360[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.3*0.7} = 15.8745[/tex]

The probability that less than 348 possess that characteristic is

Using continuity correction, this is P(X < 348 - 0.5) = P(X < 347.5), which is the pvalue of Z when X = 347.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{347.5 - 360}{15.8745}[/tex]

[tex]Z = -0.79[/tex]

[tex]Z = -0.79[/tex] has a pvalue of 0.2148.

The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.

The population follows a normal distribution.

The probability that less than 348 possess that characteristic is 0.2248

The given parameters are:

[tex]\mathbf{n = 1200}[/tex]

[tex]\mathbf{p = 30\%}[/tex]

Start by calculating the mean:

[tex]\mathbf{\mu =np}[/tex]

[tex]\mathbf{\mu =1200 \times 30\%}[/tex]

[tex]\mathbf{\mu =360}[/tex]

Calculate the standard deviation

[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]

[tex]\mathbf{\sigma = \sqrt{360(1 - 30\%)}}[/tex]

[tex]\mathbf{\sigma = \sqrt{252}}[/tex]

[tex]\mathbf{\sigma = 15.87}[/tex]

Calculate the z-score

[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]

Where:

x = 348

So, we have:

[tex]\mathbf{z = \frac{348 - 360}{15.87}}[/tex]

[tex]\mathbf{z = -\frac{12}{15.87}}[/tex]

[tex]\mathbf{z = -0.7561}[/tex]

So, the probability is represented as:

[tex]\mathbf{P(x < 348) = P(z < -0.7561)}[/tex]

From the z-table of probabilities, we have:

[tex]\mathbf{P(x < 348) = 0.2248}[/tex]

Hence, the probability that less than 348 possess that characteristic is 0.2248

Read more about probabilities at:

https://brainly.com/question/11234923

Answer:

Step-by-step explanation:

prime: 3 5 7 11 13

P(notprime) = (12-5)/ 12 = 7/12

Answer:

14:6

3.5:1.5

21:9

Answer:

14/6

Step-by-step explanation:

Answer:

Tyson had the better deal

Step-by-step explanation:

We simply want to know who paid less for the ticket.

Tyson bought 8 tickets for the members of his basketball team and it cost it $168 in total.

The cost of each ticket is therefore:

168 / 8 = $21

He paid $21 for each ticket.

The parent bought her son's ticket for $24.

Therefore, Tyson had the better deal because he paid $3 less than the woman.

Answer:

she will use 420 inches of paper with 69 left over

Step-by-step explanation:

It is what it is

Answer:

She would use 330 inches of paper

Answer: Answer is B

Step-by-step explanation:

Remeber that the shorter a container is doesn't mean it has less mass or volume. the width can mean it holds more. If the radius is twice as big that can mean the contents is more and your getting a better deal.   hOpe this will help.

Answer:

Well, as it turns out, when two figures are similar or congruent, they have certain properties, and these properties can be used to prove relationships between the figures. When two figures are similar figures, they have the following properties: Corresponding angles have equal measure.

Step-by-step explanation:

Answer:

Step 2

Step-by-step explanation:

Michelle's step in trying to solve the equation is given below:

[tex]\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}[/tex]

Michelle made a mistake in Step 2.

The right hand side of Step 1:  [tex]\dfrac45+\dfrac35\neq 1[/tex]

Rather, the correct sum is:

[tex]\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25[/tex]

Answer:

Its 1/5

Step-by-step explanation:

Khan

Answer:

7

Step-by-step explanation:

80 percent. 80 percent of 250 is 200 and 250 increased by a total of 200 therefore 80%

Answer: 80%

Step-by-step explanation:

Rule of 3.

Let's put the money on the left side and the percents on the right side.

[tex]\frac{250}{450}=\frac{100}{x}[/tex]

Solve for x:

[tex]x=\frac{450*100}{250}[/tex]

[tex]x=180[/tex]

Subtract 100 from 180

180-100=80