faz um bom tempo que não faço expressões numéricas,vcs podem me ajudar!

Answer:

1. Statement: ∠RVS ≅ ∠SVT

2. Statement: m∠RVS + m∠SVT = 180°

3. Statement: m∠RVS + m∠RVS = 180°

4. Statement: m∠RVS = 90°

5. Statement: Line RT ⊥ Line SU

1. Reason: Given

2. Reason: Angles forming a linear pair sum of 180°

3. Reason: Substitution

4. Reason: Algebra

5. Reason: Defintion of perpendicular lines

Step-by-step explanation:

First, write the given (line 1).

Next, use the fact that angles forming a linear pair sum to 180° to show m∠RVS + m∠SVT = 180° (line 2).

Next, substitute m∠RVS for m∠SVT in m∠RVS + m∠SVT=180° (line 3).

Next, use algebra to show m∠RVS = 90° (line 4).

Finally, use the definition of perpendicular lines to prove that Line RT ⊥ Line SU (line 5).

Hope this helps :D

Answer:

1. Statement: ∠RVS ≅ ∠SVT

2. Statement: m∠RVS + m∠SVT = 180°

3. Statement: m∠RVS + m∠RVS = 180°

4. Statement: m∠RVS = 90°

5. Statement: Line RT ⊥ Line SU

1. Reason: Given

2. Reason: Angles forming a linear pair sum of 180°

3. Reason: Substitution

4. Reason: Algebra

5. Reason: Defintion of perpendicular lines

Answer:

a = 2

not continuous

Step-by-step explanation:

In order for f(x) to have a limit at 0, f(0) from the left must equal f(0) from the right.

f(0⁺) = f(0⁻)

-2 + a = a sin(0)

-2 + a = 0

a = 2

If f(x) is continuous at x = 0, f'(0) from the left must equal f'(0) from the right.

f(x) = 0 for x > 0, so f'(x) = 0 for x > 0.

f(x) = 2 sin x for x < 0, so f'(x) = 2 cos x for x < 0.

f'(0⁺) = f'(0⁻)

0 = 2 cos 0

0 = 2

f(x) is not continuous at x = 0.

Answer:

a = 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

4x+5y=-2

Step-by-step explanation:

y=-4/5x-2

5y=-4x-2

4x+5y=-2

Answer:

-5772

Step-by-step explanation:

294-6066=-5772

Answer:

The answer would be 2,772

Step-by-step explanation:

6,066 - 294 = 2,272

I hope that helps!!:)

Answer:

4

Step-by-step explanation:

30 + 20 + 13 = 63, + fractions = 64. But you have to divide to get to pounds. So 64 / 16 = 4

YAY

Answer:

a) Sample Space = {(1,blue), (1, green), (1, yellow), (2,blue), (2, green),                (2, yellow), (3,blue), (3, green), (3, yellow), (4,blue), (4, green), (4, yellow)}

b) 4 outcomes involve choosing blue marble.

Step-by-step explanation:

a) FOR SAMPLE SPACE:

No. of options for choosing card = 4

No. of options for choosing marble = 3

No. of options for choosing a card and a marble = (3)(4) = 12

Therefore,

Sample Space = {(1,blue), (1, green), (1, yellow), (2,blue), (2, green),              (2, yellow), (3,blue), (3, green), (3, yellow), (4,blue), (4, green), (4, yellow)}

b) CHOOSING BLUE MARBLE:

It is evident from the sample space that, there are only 4 outcomes, which involve choosing a blue marble.

Those 4 outcomes are as follows:

(1, blue), (2, blue), (3, blue), (4, blue)

Answer:

12

Step-by-step explanation:

Answer:

I think the area is 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

Developing a frequency distribution of the ungrouped data simply means creating a structure (table) for the data. It is a method of converting an ungrouped data into a grouped data for proper analysis of the data.

The table will contain the values, their frequency (this means the number of times individual values occurs based on the classes) and the tally.

Check the attachment for the table.

Given the ungrouped data 2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3. The total number of data collected is 20. From the frequency distribution table, it can be seen that the total frequency is 20 which shows that all the values have been catered for.

Answer:

195 m3

Step-by-step explanation:

Answer:195 m^3

Step-by-step explanation:

volume of triangular prism=base area x height

height=h=5m

Base area=0.5 x 13 x 6

Base area=39

Volume of triangular prism=39 x 5

Volume of triangular prism=195m^3

Answer:

Step-by-step explanation:

n = sample size = 5

a) Let us determine the sum

[tex]\sum x_i= 100+200+300+400+490=1490[/tex]

[tex]\sum x_i^2= 100^2+200^2+300^2+400^2+490^2=540100[/tex]

[tex]\sum y_i = 237+350+419+465+507=1978[/tex]

[tex]\sum y_i^2= 237^2+350^2+419^2+465^2+507^2=827504[/tex]

[tex]\sum x_i y_i=100 \times 237 + 200\times350+300 \times 419 + 400 \times 465 + 490 \times 507=653830[/tex]

Now we can determine [tex]S_x_x, S_x_y, S_y_y[/tex]

[tex]S_x_x = \sum x_i^2-\frac{(\sum x_1)^2}{n} \\= 540100 - \frac{1490^2}{5} \\= 96080[/tex]

[tex]S_x_y = \sum x_i y_i -\frac{(\sum x_i)(\sum y_i) }{n} \\\\[/tex]

[tex]653830 - \frac{1490 \times 1978 }{5} = 64386[/tex]

[tex]S_y_y = \sum y_i^2-\frac{(\sum y_i)^2 }{n} = 82750-\frac{1978^2}{5} \\\\= 45007.2[/tex]

The estimate b of the slope β is the ratio of [tex]S_x_y[/tex] and [tex]S_x_x[/tex]

[tex]b = \frac{S_x_y}{S_x_x}[/tex]

[tex]\frac{64386}{96080} = 0.67[/tex]

The mean is the sum of all value divide by number of values

[tex]\bar x= \frac{\sum x_i}{n} \\\\= \frac{100+200+300+400+490}{5} \\\\= \frac{1490}{5} = 298[/tex]

[tex]\bar y= \frac{\sum y_i}{n} \\\\= \frac{237+350+419+465+507}{5} \\\\= \frac{1978}{5} = 395.6[/tex]

The estimate a of the intercept is

[tex]a = \bar y - b \bar x[/tex]

[tex]= 395.6 - 0.69 \times 298\\= 195.9[/tex]

General least square equation;

[tex]\bar y = \alpha + \beta x[/tex]

replace alpha by a = 3 and beta by b = 0.67 in general least equation

y = a + bx

195.9 + 0.67x

b)

Scatter plot is shown in the attached file

x is on the horizontal axis

y is n the vertical axis

The degree of freedom of regression is 1

because we use one variable s predictor variable

[tex]d_f_R = 1[/tex]

The degree of freedom of error is the sample size n decrease by 2

[tex]d_f_E =n-2= 5 - 2=3[/tex]

Total df is equal to the sum  of seperate degree of freedom dfR  and dfE

total df = 1 +3  4

[tex]SSR = \frac{(S_x_y)^2}{S_x_x} = \frac{64386^2}{96080} \\\\= 43146.9296[/tex]

Total SS =Syy= 45007.2

SSE + Total SS = SSR

= 45007.2 - 43146.9296

= 1860.2705

Answer: 2250 pi

Step to do:

where  is the volume of the cone,  is the radius of the base, and  is the height of the cone.

In the given problem, we know that  and . Using this, we can find the volume of a single cone:

Since the problem asks how much foam is needed to make 120 cones, we can multiply this result to get our answer:

Answer:

level of water in a reservoir each....

Step-by-step explanation:

The scatter plot

A scatter plot is like a scatter chart or graph that uses the dots for representing the values of two different numeric variables. The horizontal value indicates the individual point data. Thus is used for observing the realtisohips between the variables.

This the answer is level of the water in a dam each day and date during 1 month.

Learn more about the which type of data.

brainly.com/question/22485501.

Answer:

  y = 12

Step-by-step explanation:

Ordinarily, in math, when we say "the difference between ..." we mean the second listed item is subtracted from the first. (In English, we often mean "the positive difference between ..." so the order doesn't matter.)

We'll assume we are only interested in the case where the difference is in the order listed.

  [tex]\dfrac{y+12}{y-4}-\dfrac{y}{y+4}=\dfrac{y+12}{y-4}\cdot\dfrac{y}{y+4}\\\\\dfrac{(y+12)(y+4)-(y-4)(y)}{y^2-16}=\dfrac{(y+12)(y)}{y^2-16}\\\\0=\dfrac{y^2-8y-48}{y^2-16}=\dfrac{(y-12)(y+4)}{(y-4)(y+4)}=\dfrac{y-12}{y-4}\qquad\text{$y\ne -4$}\\\\\boxed{y=12}[/tex]

There is one solution.

_____

Comment on the solution

If you were to "clear fractions" by multiplying the equation by (y^2-16), you would also obtain the extraneous solution y=-4. That is why we did not solve it that way.

Answer:

it will be 95%

hope that helps

Answer:

95 percent

Step-by-step explanation:

Since 20 is 1/5 of 100, one number is equivalent to 5 percent.

Multiply 5 by 19.

You will get your percentage.  

Answer:

$1.50

Step-by-step explanation:

Answer:$1.5

Step-by-step explanation:

5.5kg cost $8.25

1kg cost __

1kg cost 8.25/5.5

1kg cost $1.5

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Firstly, [tex]x^{-y} = \frac{1}{x^y}[/tex], so in this case, you multiply [tex](6^{-8})^4[/tex], which equals [tex]6^{-32}[/tex]. Then, plug it into [tex]x^{-y} = \frac{1}{x^y}[/tex] and you get

[tex]6^{-32} = \frac{1}{6^{32}}[/tex], so it's [tex]\boxed{A.}[/tex]

Answer:

[tex]x=3\\y=-10[/tex]

Step-by-step explanation:

[tex]13x=-21-6y\\-8x=36+6y[/tex]

Let's take one of the equations and solve for x. I'll take the first one.

[tex]13x=-21-6y[/tex]

Divide by 13.

[tex]x=\frac{-21-6y}{13}[/tex]

Now replace x in the second equation.

[tex]-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y[/tex]

Distribute -8

[tex]\frac{168+48y}{13}=36+6y[/tex]

Break down the fraction.

[tex]\frac{168}{13}+\frac{48}{13}y=36+6y[/tex]

Subtract [tex]\frac{168}{13}[/tex]

[tex]\frac{48}{13}y=36+6y-\frac{168}{13}[/tex]

Subtract 6y

[tex]\frac{48}{13}y-6y=36-\frac{168}{13}[/tex]

Combine like terms;

[tex]\frac{48-13*6}{13}y=\frac{36*13-168}{13}[/tex]

Solve;

[tex]\frac{48-78}{13}y=\frac{468-168}{13}[/tex]

Keep solving;

[tex]\frac{-30}{13}y=\frac{300}{13}[/tex]

Multiply by the negative reciprocal of the fraction next to y.

[tex](-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )[/tex]

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

[tex]y=-10[/tex]

After having found y, replace it in any of the equations to find x.

[tex]13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3[/tex]

Answer:

x=3

y=-10

Step-by-step explanation:

13x=-21-6y...............(1)

-8x=36+6y................(11)

Add (11) to (1)

5x=15-6y+6y

5x=15

Divide both sides by 5

5x/5=15/5

x=3

Substitute x=3 in 13x=-21-6y

13(3)=-21-6y

39=-21-6y

Collect like terms

39+21=-6y

60=-6y

Divide both sides by -6

60/-6=-6y/-6

-10=y

y=-10

Answer:

Step-by-step explanation:

It is assumed the first winner is part of the second drawing as well

There are 4 people and two prizes

The probability of each person to win is 1/4

The first winner has 1/2 probability to get a mug

The second winner, if it is Jack, gets either prize

The combined probability is:

Answer:

The probability is 37.5%

Step-by-step explanation:

There are eight total outcomes, but we only need to focus on three. Ang winning a mug and Jack winning either a t-shirt or a mug, that makes three. Write that as a fraction: 3/8, and then divide. 3 divided by 8 gives us 0.375. But we need a percent so multiply that by 100, that now gives us 37.5.

So, the probability that either Ang wins and is given a mug, or Jack wins is 37.5%. If it makes you feel more confident in this, I put the same exact answer for my assessment and I got it correct.

Also, “The monks named me aOng.”

Answer:

Yes, Sam is correct and there is no need to fix his idea.

Step-by-step explanation:

Linear Regression model is one of the Important model that is been used in statistics especially in statistics which actively involved data analysis of dependent variable and an independent variable. Between these two that is dependent variable and an independent variable, the application of Linear Regression model is used in showing the relationships between the two variables.

Just like Sam said in the question above, '' “Linear regression model is a tool to predict the relationship between the dependent variable, and independent variable...'', that is what linear regression is used for.

Answer:

Yes, obviously Sam is correct

Step-by-step explanation:

Linear regression model is a tool to predict the relationship between the dependent variable, and independent variable

Linear Regression model is one of the Important model that is been used in statistics involved data analysis of dependent variable and an independent variable. Between these two that is dependent variable and an independent variable, the application of Linear Regression model is used in showing the relationships between the two variables.

Answer:

81

Step-by-step explanation:

replace x with 9 so it's 9x9 which is 81

Answer:

g(9) = 81

Step-by-step explanation:

g(x) = 9x

g(9) = 9(9) = 81

Answer:

  6

Step-by-step explanation:

Because you are familiar with your times tables, you know that ...

  30 = 6·5

  42 = 6·7

The greatest common factor is 6.

Answer:

2/3

Step-by-step explanation:

If all outcomes are listed,

{P1P2, P1B1, P1B2, P2B1, P2B2, B1B2}

then 4/6 of the outcomes have different majors.

this can be simplified to 2/3.

The probability that both students selected have different majors is 2/3

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, given that,

Four students attempt to register online.

The professor randomly selects two of the four wait list students and gives them seats in the class.

Then, the all outcomes are listed,

{P1P2, P1B1, P1B2, P2B1, P2B2, B1B2}

And, 4/6 of the outcomes have different majors

Let, A = the event of having different majors

We get, n(S)= 6

n(A)= 4

i.e. P(A)= n(A)/n(S) = 4/6 =2/3

Hence, required probability = 2/3.

To learn more on probability click:

brainly.com/question/11234923

#SPJ5

Answer:

1320 feet

Step-by-step explanation:

All we have to do is multiply the rate of change of altitude by the time it took the altitude to change.

The altitude of an airplane is decreasing at a rate of 44 feet per second. After 30 seconds, the change is altitude is:

44 * 30 = 1320 feet

The altitude of the airplane has changed by 1320 feet.

Answer: about 450.52

Use Pythagorean Theorem to find the diameter of the circle. Divide the diameter by 2 to find the radius, and solve for the area of the circle (πr^2). Then, solve for the area of the triangle (bh/2). Subtract the area of the triangle from the area of the circle.

Answer: 17.32

Step-by-step explanation:

Answer:

Figure D

Step-by-step explanation:

Point Symmetry is when every part has a matching part: the same distance from the central point. but in the opposite direction. Hope this helps! :)