Simplify the expression:
4 + 5u + 8 – 4

Answer:

1.union = {20 21 22 23 25 27 29}

2. intersection = {5 14 22}

3.1/3

Step-by-step explanation:

1. union U of sets a nd b ={20 21 22 23 25 27 29}

2. intersection n of sets a nd b = {5 14 22}

3. probability = one item / total

= 1/3

1.

A. {22, 25, 27, 29}

B. {20, 21, 22, 23}

Answer: A∪B = {22, 25, 27, 29, 20, 21, 23}

2.

A. {1, 5, 10, 14, 22}

B. {5, 14, 20, 22, 27}

Answer: A∩B = {5, 14, 22}

3.

A. {1, 5, 10, 14, 22}

B. {5, 14, 20, 22, 27}

Answer: The three items that are intersecting each have a 1/3 chance of being chosen.

Answer:

1

Cans              4cans                  8 cans                   12 cans

Cost                $2.25                   $4.5                      $6.75

2

Ice Cream   180 q       360 q      540 q       720q        900q           1080 q

Hours       2 hours     4 hours    6 hours    8 hours   10 hours      12 hours

***q = quarts

3

Distance        650 miles           1300 miles           1950 miles

Hours              3 hours                 6 hours                9 hours

Answer:

Question 1 - 8 cans = $4.50, 12 cans = $10.13

Question 2 - 4 hours = 360 quarts, 6 hours = 540 quarts, 8 hours = 720 quarts, 12 hours = 1,170

Question 3 - 1,950 miles in 9 hours

Hope this helps :)

Answer:

a. x = 36°, y = 36°, z = 34°

Step-by-step explanation:

X = 36° because x and 144° are supplementary angles and the sum of supplementary angles = 180°

The sum of interior angles in a triangle is equal to 180° since one of the angle is given as 110° the sum of z and y must be equal to 70° the option that fits these qualities is a. x = 36°, y = 36°, z = 34°

Answer:

27 degrees

Step-by-step explanation:

Because there is a straight line, all of the angles shown add up to 180, so if you add up all the given angles and subtract it from 180, you will get your answer.

39+86+28=153

180-153=27

Hope this helps. If you have any follow-up questions, feel free to ask.

Have a great day! :)

Answer:

slope: -3

equation: y = -3x

Step-by-step explanation:

the slope is "the amount of change in the y direction when you take one step to the right".

In the first graph you can see that (0,0) and (1,-3) are on the graph. So when you step from x=0 to x=1, the graph moves 3 units down. Hence the slope is -3. The minus sign means down.

Sometimes it is difficult to see the change in the y direction when only taking 1 step to the right. That's no problem, if you take e.g., 4 steps to the right, you have to divide the y change that you found by 4.

Written in a formula it is dy/dx, a.k.a: the y change divided by the x change.

So that takes care of the slope.

In a general formula for a line y = ax + b, the slope is the letter a.

b is used to move the graph up and down. The first graph moves through (0,0) so no b needed, hence the equation y = -3x.

If b would be, say, 5, the graph would be lifted up by 5. In fact, the point (0,b) will be the point where the graph crosses the y-axis. So you find b by finding the intersection with the y axis. x must be 0 at this point.

With this approach you can solve all assignments easily.

Answer:

2(6)(4)

Step-by-step explanation:

The commutative law of multiplication states that the order of the numbers does not affect the answer. To rewrite 2(4)(6) using the commutative law of multiplication, rearrange the order of the numbers.

Maricopa's Success scholarship fund receives a gift of $ 170000. The money is invested in stocks, bonds, and CDs. CDs pay 3.25 % interest, bonds pay 4.4 % interest, and stocks pay 11.4 % interest. Maricopa Success invests $ 25000 more in bonds than in CDs. If the annual income from the investments is $ 10055 , how much was invested in each account?

--------------------------

Equations:

s + b + C = 170000

11.4s + 4.4b + 3.25C = 1005500

b = C + 25000

-----------------------

Rearrange::

s + b + C = 170000

1140s + 440b + 325C = 100550000

0 + b - C = 25000

--------------------------

Use any method you know to solve the system to get:

stocks = 45000

bonds = 75000

CD's = 50000

----------------

Cheers,

Stan H.

--------------

Maricopa Success invested $

in stocks.

Maricopa Success invested $

in bonds.

Maricopa Success invested $

--------------

Hope this helps!

Brainliest would be great!

--------------

With all care,

07x12!

Answer: V = 193.25π

Step-by-step explanation: The method to calculate volume of a solid of revolution is given by an integral of the form:

V =  [tex]\pi\int\limits^a_b {[f(x)]^{2}} \, dx[/tex]

f(x) is the area is the function that rotated forms the solid.

For f(x)=y= [tex]\frac{5}{36}-x^{2}[/tex] and solid delimited by x = 2 and x = 4:

V = [tex]\pi\int\limits^4_2 {(\frac{5}{36}-x^{2} )^{2}} \, dx[/tex]

V = [tex]\pi\int\limits^4_2 {(\frac{25}{1296}-\frac{10x^{2}}{36}+x^{4}) } \, dx[/tex]

V = [tex]\pi(\frac{25.4}{1296}-\frac{10.4^{3}}{108}+\frac{4^{5}}{5}-\frac{25.2}{1296}+\frac{10.2^{3}}{108}-\frac{2^{5}}{5} )[/tex]

V = [tex]\pi(\frac{50}{1296}-\frac{560}{1296}+\frac{992}{1296} )[/tex]

V = 193.25π

The volume of a solid formed by y = [tex]\frac{5}{36} - x^{2}[/tex] and delimited by x = 2 and x = 4

is 193.25π cubic units.

Answer:

-3x+y=0

Step-by-step explanation:

Standard form= Ax+Bx=C

Add -3x both sides, answer -3x+1y=0

Answer: Choice D

Maximums = (0,1) and (2pi, 1)

minimum = (pi, -3)

======================================================

Explanation:

Cosine is a periodic function that bounces up and down forever. The highest y = cos(x) gets is y = 1 and that happens when x = 0, 2pi, etc. Basically anything in the form x = 2pi*n for any integer n will have y = cos(x) maxed out. Consequently, this means y = 2cos(x)-1 maxes out at the same mentioned x values.

Plug in those x values to find that y = 1 is the max y value for y = 2cos(x)-1

A similar situation happens for the mins as well. We have y = cos(x) be the smallest when x = pi+2pi*n for any integer n.

Answer:

1) Not congruent

2) AAS

3) Not congruent

4) SAS

5) SSS

6) ASA

Step-by-step explanation:

In SSS, ASA, AAS, and SAS, S stands for side and A stands for angle.  If the sides and angles are congruent in any of those patterns, the triangles are congruent.

Hope it helps <3

Answer:

1. Not congruent

2. AAS, Congruent

3. Not congruent

4. SAS, congruent

5. SSS, congruent

6. ASA, Congruent

Step-by-step explanation:

1. Not congruent

It only shows that there are 3 similar angles. There were no sides described.

2. AAS, Congruent

They are congruent, just rotated in an angle (see proof 2)

3. Not congruent

It only shows 2 sides next to each other and an angle next to one side.

4. SAS, congruent

It shows 2 sides that are congruent and congruent angles between them (see proof 4)

5. SSS, congruent

All 3 sides are congruent (see proof 5,6)

6. ASA, Congruent

2 angles and an adjacent side are congruent(see proof 5,6)

Answer:

a) the angle of ascent is 8.2°

b) the horizontal distance traveled is 4375 m

Step-by-step explanation:

depth of ocean = 626 m

distance traveled in the ascent = 4420 m

This is an angle of elevation problem with

opposite side to the angle = 626 m

hypotenuse side = 4420 m

a) angle of ascent ∅ is gotten from

sin ∅ = opp/hyp = 626/4420

sin ∅ = 0.142

∅ = [tex]sin^{-1}[/tex] 0.142

∅ = 8.2°  this is the angle of ascent of the submarine.

b) The horizontal distance traveled will be gotten from Pythagoras theorem

[tex]hyp^{2}[/tex] = [tex]opp^{2}[/tex] + [tex]adj^{2}[/tex]

The horizontal distance traveled will be the adjacent side of the right angle triangle formed by these distances

[tex]4420^{2}[/tex] = [tex]626^{2}[/tex] + [tex]adj^{2}[/tex]

adj = [tex]\sqrt{4420^{2}-626^{2} }[/tex]

adj = 4375 m  this is the horizontal distance traveled.

Answer:

[tex]\large \boxed{\sf \ \text{2 feet, 4 seconds, 258 feet } \ }[/tex]

Step-by-step explanation:

Hello,

To know the height of the baseball when it is hit we have to compute h(0), as t = 0 is when the baseball is hit into the air.

[tex]h(0)=-16\cdot 0^2+128 \cdot 0+2=2[/tex]

So, the answer is 2 feet.

h(x) is a parabola which can be written as [tex]ax^2+bx+c[/tex], it means that the vertex is the point (-b/2a,h(-b/2a)).

The baseball reached its maximum height after

   [tex]\dfrac{-b}{2a}=\dfrac{-128}{-2*16}=\boxed{4 \text{ seconds}}[/tex]

And the maximum height of the baseball is h(4).

[tex]h(0)=-16\cdot 4^2+128 \cdot 4+2=-256+512+2=\boxed{258 \ \text{feet}}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer: d) Not in Col in Nul A

Step-by-step explanation: The definition of Column Space of an m x n matrix A is the set of all possible combinations of the columns of A. It is denoted by col A. To determine if a vector is a column space, solve the matrix equation:

A.x = b or, in this case, [tex]A.x=u[/tex].

To solve, first write the augmented matrix of the system:

[tex]\left[\begin{array}{cccc}1&0&3&-4\\-2&-1&-4&-5\\3&-3&0&3\\-1&3&6&1\end{array}\right][/tex]

Now, find the row-echelon form of matrix A:

1) Multiply 1st row by 2 and add 2nd row;

2) Multiply 1st row by -3 and add 3rd row;

3) MUltiply 1st row by 1 and add 4th row;

4) MUltiply 2nd row by -1;

5) Multiply 2nd row by 3 and add 3rd row;

6) Multiply 2nd row by -3 and add 4th row;

7) Divide 3rd row by -15;

8) Multiply 3rd row by -15 and add 4th row;

The echelon form matrix will be:

[tex]\left[\begin{array}{cccc}1&0&3&-4\\0&1&-2&13\\0&0&1&-\frac{51}{15}\\0&0&0&-13 \end{array}\right][/tex]

Which gives a system with impossible solutions.

But if [tex]A.x=0[/tex], there would be a solution.

Null Space of an m x n matrix is a set of all solutions to [tex]A.x=0[/tex], so vector u is a null space of A, denoted by null (A)

Answer:

We should reject H0

At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and  test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

━━━━━━━☆☆━━━━━━━

▹ Answer

19%

▹ Step-by-Step Explanation

0.19 → hundreth's place.

19/100 (since the denominator is 100, that represents 100% while 19 represents 19%)

Final Answer - 19%

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

This represent 19% of his salary.

Given, Joe's salary goes for tax is 0.19.

We have to represent the value in percent.

Here 0.19 can be written in fraction form as,

[tex]\dfrac{19}{100}[/tex]

It means 19 part from 100 part goes for taxes, means 19% of the Joe's salary goes for taxes.

Hence this represent 19% of his salary.

For more details follow the link:

https://brainly.com/question/8011401

Answer:

3/20

Step-by-step explanation:

since there is a total of 20 tulips that would be your denominator then your numerator would be the number of purple tulips which would be 3 so you probability of randomly selecting a purple tulip would be 3/20

Answer:

18

Step-by-step explanation:

23^0 - 15^1 + 18^0 + (43 - 12) =

= 1 - 15 + 1 + 31

= -14 + 1 + 31

= -13 + 31

= 18

Answer: hello your table is incomplete here is the complete table

Fertilizer Amount (ounces) Tomato Plant Height (inches)

1.9 20.4

5.0 49.2

4.2 56.1

1.3 24.3

4.9 29.2

5.4 60.8

3.1 24.6

0.0 25.3

2.3 26.2

2.5 25.7

0.9 26.5

1.0 28.6

4.5 62.9

3.8 30.8

5.3 43.2

2.3 33.4

4.0 35.1

1.4 22.1

3.9 40.6

4.0 44.5

3.6 29.7

0.6 21.1

1.6 25.4

2.5 29.6

4.5 27.6

3.6 32.6

2.0 33.5

0.0 22.5

2.5 27.6

3.1 46.4

Answer : a)Height = 18.639 + 5.208  * fertilizer

b) The Y intercept make practical sense because without fertilizer there will still be an  increase in plant height ( y intercept )  

c) 34.263

Step-by-step explanation:

A) Estimating  the model

Height = β0 + β1 FERTILIZER + ∈

β0 = 18.639

β1 = 5.208

hence

Height = 18.639 + 5.208  * fertilizer  ( using excel )

B) The y- intercept

The Y intercept make practical sense because without fertilizer there will still be an  increase in plant height ( y intercept )  

C ) using the estimated model to predict  after four months

the model = 18.639 + 5.208 * fertilizer

fertilizer ounce given = 3

therefore height of tomato plant after 4 months that received 3 ounces of fertilizer = 18.639 + 5.208 * 3 = 34.263

Answer:

Step-by-step explanation:

To find the length of BC we use tan

tan ∅ = opposite / adjacent

From the question

AC is the opposite

BC is the adjacent

So we have

tan 61 = AC / BC

tan 61 = 47/BC

BC = 47/tan 61

Hope this helps you

Answer:

Mark Me Brainliest !

Answer:

P - 28 = C

Explanation:

P (Regular Price  )

C ( Cost Savings )

You Noticed These Jeans You Liked.

You Couldn't Afford Them So You Waited Til The Price Dropped.

When Prices Drop Its Either 1 of 2 Reasons

Holiday Seasons Or Price Elasticity

So These Jeans Become $28 On The Market.

Simply You Figure Out How Much You'll Save By Comparing The Original Price To The Discounted Price.

There For Your Answer Will Be The Following :

Regular Price - Discounted Price = Cost Savings

Answer:

Total cost = $864

Step-by-step explanation:

The area of the rectangular room

= 18*12

= 216 ft²

The sides of the square is 1ft

The area of the square= 1ft²

To know how many square tiles it will take= 216/1 = 216 square tiles.

The total cost to completely cover the room with tiles if each tiles cost $4

= 216*4

= $864

Total cost=$864

Answer:

The  90 % confidence  interval  for the mean population is (11.176  ; 20.824 )

Rounding to at least two decimal places would give 11.18 , 20.83

Step-by-step explanation:

Mean = x`= 16 miles per hour

standard deviation =s= 4.1 miles per hour

n= 4

[tex]\frac{s}{\sqrt n}[/tex]  =  4.1/√4= 4.1/2= 2.05

1-α= 0.9

degrees of freedom =n-1=  df= 3

∈ ( estimator  t with 90 % and df= 3 from t - table ) 2.353

Using Students' t - test

x`±∈ * [tex]\frac{s}{\sqrt n}[/tex]

Putting values

16 ± 2.353 * 2.05

= 16 + 4.82365

20.824  ;        11.176

The  90 % confidence  interval  for the mean population is (11.176  ; 20.824 )

Rounding to at least two decimal places would give 11.18 , 20.83

Answer:

[tex]11.18 < \mu <20.82[/tex]

Step-by-step explanation:

From the information given:

A meteorologist who sampled 4 thunderstorms  of  the sample size n = 16

the average speed at which they traveled across a certain state was 16 miles per hour ; i.e Mean [tex]\bar x[/tex] = 16

The standard deviation [tex]\sigma[/tex] of the sample was 4.1 miles per hour

The objective is to find the 90% confidence interval of the mean.

To start with the degree of freedom df = n - 1

degree of freedom df = 4 - 1

degree of freedom df = 3

At 90 % Confidence interval C.I ; the level of significance will be ∝ = 1 - C.I

∝ = 1 - 0.90

∝ = 0.10

∝/2 = 0.10/2

∝/2 = 0.050

From the tables;

Now the t value when ∝/2 = 0.050 is [tex]t_{\alpha / 2 ,df}[/tex]

[tex]t_{0.050 \ ,\ 3} = 2.353[/tex]

The Margin of Error = [tex]t_{\alpha / 2 ,df} \times \dfrac{s}{\sqrt{n}}[/tex]

The Margin of Error = [tex]2.353 \times \dfrac{4.1}{\sqrt{4}}[/tex]

The Margin of Error = [tex]2.353 \times \dfrac{4.1}{2}[/tex]

The Margin of Error = [tex]2.353 \times 2.05[/tex]

The Margin of Error = 4.82365

The Margin of Error = 4.82

Finally; Assume the variable is normally distributed, the  90% confidence interval of the mean is;

[tex]\overline x - M.O.E < \mu < \overline x + M.O.E[/tex]

[tex]16 -4.82 < \mu < 16 + 4.82[/tex]

[tex]11.18 < \mu <20.82[/tex]

Answer:

2411.52

Step-by-step explanation:

1/3(3.14*16*16*9) = 2411.52

Answer:

Step-by-step explanation:

Given,

Radius ( r ) = 16

Height ( h ) = 9

pi ( π ) = 3.14

Volume of cone = ?

Now, let's find the volume of cone:

[tex]\pi \: {r}^{2} \frac{h}{3} [/tex]

plug the values

[tex]3.14 \times {16}^{2} \times \frac{9}{3} [/tex]

Evaluate the power

[tex]3.14 \times 256 \times \frac{9}{3} [/tex]

Calculate the product

[tex]2411.52 \: {units}^{2} [/tex]

Hope this helps..

Best regards!!

Answer:

Step-by-step explanation:

Given the system of equation

x + y - 2z = 9 ... 1

3x + y + 2z = 15 ...2

x - 5y + 22z = -27... 3

First let us reduce the system of equation into two with two unknowns.

Subtracting 1 from 3

y-(-5y) + (-2z-22z) = 9-(-27)

y+5y + (-24z) = 9+27

6y-24z = 36 ... 4

Multiplying equation 1 by 3 and subtracting from equation 2

3x + 3y - 6z = 27

3x + y + 2z = 15

On subtracting both;

(3y-y)+(-6z-2z) = 27-15

2y-8z = 12 ... 5

Equating 4 and 5

6y-24z = 36 ... 4

2y-8z = 12 ... 5

Multiplying equation 5 by 3 the equation becomes;

6y-24z = 36 ... 6

6y-24z = 36 ... 7

We can see that equation 6 and 7 are the same;

let y = k

6k - 24z = 36

k - 4z = 6

4z = k-6

z = k-6/4

Substituting y = k and z = k-6/4 into equation 1 to get x

From 1; x + y - 2z = 9 ... 1

x + k -2( k-6/4) = 9

x + k - (k-6)/2 = 9

x = 9+(k-6)/2-k

x = {18+(k-6)-2k}/2

x = (12-k)/2

The solutions to the system of equations are x = (12-k)/2, y = k, z = (k-6)/4 where k is any constant. This shows that the system of equation has infinite solutions.

The area of the rectangle is [tex]25q^2-9[/tex].

The area of the rectangle is the product of length and width.

The length of the sides of the square is 5q.

3 is added and 3 is subtracted to the length and the width of the square so, the dimensions of the new quadrilateral is (5q+3) and (5q-3).

So, the area of the rectangle is-

[tex]A=(5q+3)\times (5q-3)\\=25q^2-9[/tex]

Thus, the area of the rectangle is [tex]25q^2-9[/tex].

Learn more about the area of the rectangle here- https://brainly.com/question/20693059

#SPJ2

Answer:25q^2-9

Step-by-step explanation:

your welcomeeeeeeee

Answer:

138,920 m²

Step-by-step explanation:

A square pyramid has 1 square base and 4 lateral triangular faces.

Area of square pyramid is given as BASE Area (BA) + ½*Perimeter of Base (P) × Slant height

Area of pyramid = [tex] b^2 + \frac{1}{2}*4(b)*l [/tex]

Where,

b = base length = 230 m

l = slant height = 187 m (height of the triangular sides)

Surface area = [tex] 230^2 + \frac{1}{2}*4(230)*187 [/tex]

[tex] = 52900 + 2(230)*187 [/tex]

[tex] = 52900 + 86020 [/tex]

[tex] = 138920 [/tex]

Surface area of the pyramid = 138,920 m²

Answer:

hope i helped thank you

Step-by-step explanation:

If the drawing is 5 inches tall and the ratio is 1:7, that means that 1 inch will be equal to 7 feet.

Height = 5 x 7 = 35 feet

Answer:

Well, of course, i can not graph it in the coordinate plane in the image, but i can try to teach you how to do it.

We have the function y = (1/2)*x + 5

The first step is to generate pairs (x, y)

You can do it by evaluating the function in different values of x.

For example;

if x = 0

y = (1/2)*0 + 5 = 5

then we have the point (0,5)

if x = 2

y = (1/2)*2 + 5 = 6

Then we have the point (1, 6)

Now, with only two points you can graph the line.

First find the points in the coordinate plane, and mark them.

Now, with a ruler, draw a line that connects the two points.

That line is the graph of the function.

An example of the graph is:

Answer:

The hypothesis test is right-tailed.

Step-by-step explanation:

We are given that we want to test the claim that the majority of adults are in favor of raising the voting age to 21.

Let p = proportion of adults who are in favor of raising the voting age to 21

So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 50%

Alternate Hypothesis, [tex]H_A[/tex] : p > 50%

As we know that the majority is there when we have more 50% chance of happening of that event.

Here, the null hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is less or equal to 50%.

On the other hand, the alternate hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is more than 50%.

This shows that our hypothesis test is right-tailed because in the alternate hypothesis, the greater than sign is included.