What is the total area? Use 3 for Pi.
answer fast pls!!! <3

What Is The Total Area? Use 3 For Pi.answer Fast Pls!!! &lt;3

Answers

Answer 1

Answer:

total area = 217 m³

Step-by-step explanation:

area of the triangle

= 14 × 10

= 140 m²

area of a semicircle

= 1/2 × 22/7 × 7 × 7

= 77 m²

total area

= 140 + 77

= 217 m³


Related Questions

Which of the following values are in the range of the function graphed below? check all that apply.
A. 0
B. -4
C. 2
D. 1
E. -1
F. 4

Which of the following values are in the range of the function graphed below? check all that apply.A.

Answers

Answer:

1

Step-by-step explanation:

The range is the output values

The only output value is y=1

The range is 1


y = 1/3x -1

x-intercept (3,0)

How did they get this answer? Somebody please help

Answers

The x-intercept of a line is the point where the line crosses the x-axis, which means that the y-coordinate of the point is zero. To find the x-intercept of the line y = (1/3)x - 1, we need to substitute y with zero and solve for x.

Here's how to do it:

Substitute y with zero:
0 = (1/3)x - 1

Add 1 to both sides:
1 = (1/3)x

Multiply both sides by 3:
3 = x

So the x-intercept of the line y = (1/3)x - 1 is (3,0). This means that the line crosses the x-axis at the point (3,0).

In conclusion, the x-intercept of the line y = (1/3)x - 1 is (3,0), which means that the line crosses the x-axis at the point (3,0).

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Laura opened a savings account with an initial deposit of $200. Each month she adds $50 to the account. Now she has $650.
a. Write an equation in slope intercept form that gives the total amount Laura has in her savings account after x months
b. How many months has Laura been putting money into the account? Explain your answer.
C. Laura's brother also opened a savings account with $200, but his monthly deposit is not the same as Laura's Describe the similarities and differences between the equation and graph describing the amount of money in Laura's account and the equation and graph describing the amount of money in her brother's account

Answers

Answer:

Laura has been adding $50 to her savings every month which means the equation would be 200 + 50 for each month that she has been adding  to her saving account, Laura has been putting money in her saving for nine months since each month shes adding $50, The similiarties are that they both opened an account with $200 but the differences is that Laura has been adding $50 and Lauras brother has been adding a different amount as Laura.

Step-by-step explanation:

Which equation represents a line which is parallel to the x-axis?

Which equation represents a line which is parallel to the x-axis?

Answers

Answer:

3?

Step-by-step explanation:

Which of the following is the equation of a line with the points (8, 3)(9, 5) and a slope of 2?

Answers

Answer:

y = 2x - 19

Step-by-step explanation:

Given the following data;

Points (x, y) = (8, 3) and (9, 5)

Slope = 2

To find the equation of line;

y - y1 = m(x - x1)

Where;

(x1, x2) = (8, 9)

(y1, y2) = (3, 5)

Substituting the value into the equation above;

y - 3 = 2(x - 8)

y - 3 = 2x - 16

y = 2x - 16 + 3

y = 2x - 19

HELP ME WITH A MATH PROBKEM Type a number that has a value less than 4.7|

Answers

Answer:

i think

all the numbers between

0 to 4.6

How many pounds are in 1
1⁄2 pounds and 8 ounces?
There are
pounds in 1 pounds and 8 ounces.
The solution is
n ID:

Answers

The number of pounds in  \(1\frac{1}{2}\) pounds and and 8 ounces is 2 pounds.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We know that 1 pound = 16 ounces.

As there are \(1\frac{1}{2}\) pounds=1.5×16= 24 ounces.

The total number of ounces in   \(1\frac{1}{2}\) pounds and 8 ounces is

24+8

32 ounces.

Now let us convert Ounces to pounds.

we divide the number of ounces by 16.

Therefore, 32 ounces is equal to 32/16 = 2 pounds.

Hence, 2 pounds will be there in  \(1\frac{1}{2}\)  pounds and 8 ounces

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Pls help me for 30 pts quick

Pls help me for 30 pts quick

Answers

Y=Mx+b is the equation for slope 1500-500 =1000 1000/64=15.625

Please help answer it's easy it's 7th grade work I'll give you brainliest

Please help answer it's easy it's 7th grade work I'll give you brainliest

Answers

just figure out the relationship between 3 and 12 and do the same thing to 2

so obviously, 3 x 4 is 12, so just multiply 2 by 4, which is 8.

x=8

Answer:

8

Step-by-step explanation:

2/3 = x/12

Numerator:

2×4=8

Denominator

3×4=12

What u do on the bottom you must do on the top

NO LINKS!!!
1. If each spinner is spun once, what is the probability that both spinners show the same color?
2. If each spinner is spun once, what is the probability of getting a red-blue combination?

NO LINKS!!!1. If each spinner is spun once, what is the probability that both spinners show the same

Answers

Answer:

\(\sf 1. \quad \dfrac{3}{8}\)

\(\sf 2. \quad \dfrac{7}{24}\)

Step-by-step explanation:

Spinner 1

Spinner 1 is divided into 6 congruent sections.

There are 3 red sections, 2 blue sections and 1 yellow section.

Therefore, the probability of spinning each of the three colors is:

    \(\bullet \quad \sf P(R_1)=\dfrac{3}{6}=\dfrac{1}{2}\)

    \(\bullet \quad \sf P(B_1)=\dfrac{2}{6}=\dfrac{1}{3}\)

    \(\bullet \quad \sf P(Y_1)=\dfrac{1}{6}\)

Spinner 2

Spinner 2 is divided into 3 sections of differing sizes.

The red section is half of the spinner. The blue and yellow sections are quarters of the spinner.

Therefore, the probability of spinning each of the three colors is:

    \(\bullet \quad \sf P(R_2)=\dfrac{1}{2}\)

    \(\bullet \quad \sf P(B_2)=\dfrac{1}{4}\)

    \(\bullet \quad \sf P(Y_2)=\dfrac{1}{4}\)

Question 1

If each spinner is spun once, then:

The probability that both spinners both show red is:

\(\sf P(R_1)\;and\;P(R_2)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}\)

The probability that both spinners both show blue is:

\(\sf P(B_1)\;and\;P(B_2)=\dfrac{1}{3} \times \dfrac{1}{4}=\dfrac{1}{12}\)

The probability that both spinners both show yellow is:

\(\sf P(Y_1)\;and\;P(Y_2)=\dfrac{1}{6} \times \dfrac{1}{4}=\dfrac{1}{24}\)

Therefore, the probability that both spinners show the same colour is:

\(\sf P(R_1\;\&\;R_2)\;or\;P(B_1\;\&\;B_2)\;or\;P(Y_1\;\&\;Y_2)=\dfrac{1}{4}+\dfrac{1}{12}+\dfrac{1}{24}=\dfrac{9}{24}=\dfrac{3}{8}\)

Question 2

If each spinner is spun once, the probability of getting a red from spinner 1 and a blue from spinner 2 is:

\(\sf P(R_1)\;and\;P(B_2)=\dfrac{1}{2} \times \dfrac{1}{4}=\dfrac{1}{8}\)

The probability of getting a blue from spinner 1 and a red from spinner 2 is:

\(\sf P(B_1)\;and\;P(R_2)=\dfrac{1}{3} \times \dfrac{1}{2}=\dfrac{1}{6}\)

Therefore, the probability of getting a red-blue combination is:

\(\sf P(R_1\;\&\;B_2)\;or\;P(B_1\;\&\;R_2)=\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{7}{24}\)

Find the area of the following shapes.

Area = __ mm^2

Find the area of the following shapes.Area = __ mm^2
Find the area of the following shapes.Area = __ mm^2

Answers

Answer:

Formulae used:

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Area of blue shape:

Area of rectangle + area of triangle

= (9 × 15) + (1/2 × (15 - 9) × 15)

= 135 + (1/2 × 6 × 15)

= 135 + 45

= 180 mm²

Area of yellow shape:

area of rectangle AHPB + area of rectangle GFQP + area of rectangle EDCQ

= (4 × 12) + (6 × (12 - 9)) + (4 × 12)

= 48 + (6 × 3) + 48

= 48 + 18 + 48

= 114 m²

Find the
approximate height difference between the birdhouse
and the tree house. Is it greater than or less than the
approximate difference in height between the swing
set and the tree house? Round each mixed number to
the nearest whole number.

HELP???

Find theapproximate height difference between the birdhouseand the tree house. Is it greater than or

Answers

The approximate height difference between the birdhouse and the tree house is 3 ft.

It is less than the approximate difference in height between the swing set and the tree house.

How to find the approximate height difference between the birdhouse and the tree house?

A fraction represents the parts of a whole or collection of objects e.g. 3/4 shows that out of 4 equal parts, we are referring to 3 parts.

We have:

height of birdhouse = 14\(\frac{9}{16}\) ft

height of tree house = 11\(\frac{13}{16}\) ft

Thus, the approximate height difference between the birdhouse and the tree house will be:

14\(\frac{9}{16}\) ft - 11\(\frac{13}{16}\)  = 2\(\frac{3}{4}\) ft

                   = 2.75 ft

                  = 3 ft

To determine if it is greater than or less than the approximate difference in height between the swing set and the tree house, we have to find the approximate difference in height between the swing set and the tree house. That is:

height of swing set = 8\(\frac{1}{4}\) ft

height of tree house = 11\(\frac{13}{16}\) ft

difference = 11\(\frac{13}{16}\) - 8\(\frac{1}{4}\)

                    = 3\(\frac{1}{2}\)

                    = 3.5

                    = 4 ft

Therefore, it is less than the approximate difference in height between the swing set and the tree house

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Penelope goes out to lunch. The bill, before tax and tip, was $16.05. A sales tax of 3% was added on. Penelope tipped 18% on the amount after the sales tax was added. How much tip did she leave? Round to the nearest cent.

Answers

Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

Question 5 (Fill-In-The-Blank Worth 5 points) (04.01 LC) The coordinates of point Aon a grid are (5.-3). Point A is reflected across the x-axis to obtain point B. The coordinates of point B are (5,_​

Answers

Answer:

(2, -4) would be point b.

Step-by-step explanation:

This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis

Write an expression represented by the model. Then write the
decimal in standard form.

Write an expression represented by the model. Then write thedecimal in standard form.

Answers

Answer:

1.23×10 if you observe carefully

Step-by-step explanation:

1.23 is a decimal number between 1.0 and 10.0 and so we have standard form of 123.000.000 as 1.23×10

Non Shaded Shaded
Area
Area
8
Find the radius
of the small circle

Non Shaded ShadedAreaArea8Find the radiusof the small circle

Answers

Answer:

The answer is 16pi or 50.3cm² to 1 d.p

Step-by-step explanation:

The non shaded=area of shaded

d=8

r=d/2=4

A=pir³

A=p1×4²

A=pi×16

A=16picm² or 50.3cm² to 1d.p

Answer:

3.45 cm (3 s.f.)

Step-by-step explanation:

We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.

To find the radius of a regular polygon given its side length, we can use this formula:

\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):

\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)

The formulas for the area of a regular polygon and the area of a circle given their radii are:

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Therefore, the area of the regular pentagon is:

\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)

The area of the circumcircle is:

\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)

The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.

The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.

Given the shaded area is equal to the unshaded area:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)

                                                 \(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)

Therefore, the radius of the small circle is 3.45 cm (3 s.f.).

Non Shaded ShadedAreaArea8Find the radiusof the small circle

oceanside bike rental shop charges 18 dollars plus 9 dollars an hour for renting a bike. sam paid 63 dollars to rent a bike. how many hours did he pay to have the bike?​

Answers

Answer:

5 hours

Step-by-step explanation:

sam originally paid $18 hours but then had to pay 9 every 1 hour

18+9/1=?

sam paid 63 $ in total so

63-18= 45

45/9=5

What is the surface area of the triangular prism with the
given net?
un
12
10
Select one:
578 cm
720 cm
1152 cm
1440 cm

What is the surface area of the triangular prism with thegiven net?un1210Select one:578 cm720 cm1152

Answers

Answer:

576 cm²

Step-by-step explanation:

10x15=150

10x15=150

12x15=180

1/2x8x12=48

1/2x8x12=48

150+150+180+48+48=576

A hat costs $10.95 and a T-shirt costs $14.20. How much change will you receive if you pay for both items with a $50 bill?

Pls give a good explanation

Answers

Answer: $24.85

Step-by-step explanation:

10.95+14.20= 25.15

25.15+24.85= 50

Answer:

24.35

Step-by-step explanation:

Add 10.95 to 14.20:

10.95+14.20=25.15

Then subtract the answer 25.15 from 50

50-25.15=24.35

You are considering a certain telephone company. They charge S0.18 per minute of talking, plus a fixed base monthly fee of S70.If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C? Select the correct answer below
a) C = 0.18M + 70
b) M = 0.70C + 18
c) C = 0.70M + 18
d) M = 0.18C + 70

Answers

Answer:

a is the right answer

Step-by-step explanation:

please give 5 star i need it

pls help 20 points asap

pls help 20 points asap

Answers

Answer:

The probability of rolling a 3 in a 6 number dice is 1/6. Thereafter, p of rolling a non 3 is 5/6.

Alternatively, A number cube (dice) has six sides labelled 1 through 6. Hence, a fair dice has a probability of 1/6 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 1/6

Explaination:

Rolling two six-sided dice: Each dice has 6 equally likely outcomes, so the sample space is 6×6 or 36 equally likely outcomes. Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2×2×2 or 8 equally likely outcomes.

A solid figure is composed of a cube and a right triangular
prism. The figure and some of its dimensions are shown in
this diagram.
- 8 cm
What is the volume of the figure?
A
6 cm
B
560 cubic centimeters
704 cubic centimeters
C 728 cubic centimeters

A solid figure is composed of a cube and a right triangularprism. The figure and some of its dimensions

Answers

Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

My little cuz need help can you help her please
Its Eight grade math


Solve the equation by using substitution

4x-2y=18
y=5x

Answers

Answer: x=-3 and y= -15

Step-by-step explanation: 1 Substitute y=5xy=5x into 4x-2y=184x−2y=18.

-6x=18

−6x=18

2 Solve for xx in -6x=18−6x=18.

x=-3

x=−3

3 Substitute x=-3x=−3 into y=5xy=5x.

y=-15

y=−15

4 Therefore,

\begin{aligned}&x=-3\\&y=-15\end{aligned}

 

x=−3

y=−15

Answer: The answer would be x=3 43- 35 =18

Find the coordinates of the point P(-9, - 7) after translating it 4 units right and 6 unit left.

Find the coordinates of the point P(-9, - 7) after translating it 4 units right and 6 unit left.

Answers

Answer:

(-2, -8)

Step-by-step explanation:

The problem in the picture seems to be asking for 7 units right and 1 unit down.

Add 7 to x and subtract 1 from y

-9 + 7 = -2

-7 -1 = -8

A tank filled with water begins draining. The number of minutes t since the water began draining from the tank is a function of the number of gallons of water in the tank, v. We will call this function f so that f(t) = v.

Required:
a. Using function notation, represent the of gallons of water in me tank 4 minutes after the water darning from the Ink.
b. Suppose that f(4) = 7, what does this mean in the context of the problem?

Answers

Answer:

\((a)\ f(4) = v\)

(b) There are 7 gallons left in the tank after 4 minuted

Step-by-step explanation:

Given

\(f(t) = v\)

\(t \to\) time since water began draining

\(v \to\) gallons in the tank

Solving (a): Notation for gallons remaining at 4 minutes

This means that \(t=4\)

\(f(t) = v\) becomes

\(f(4) = v\)

Solving (b): Interpret f(4) = 7

We have:

\(f(t) = v\)

\(t \to\) time since water began draining

\(v \to\) gallons in the tank

This means that:

\(t =4\)

\(v =7\)

It can be interpreted as:

There are 7 gallons left in the tank after 4 minuted

Solve if x=11. X+44/2x A.55/22
B.33
C.c
D.13

Answers

Answer:

A.55/22

Step-by-step explanation:

Plug in 11 for x:

(x + 44)/2x

(11 + 44)/(2(11))

Combine the terms. Add 11 with 44, and multiply 2 with 11:

(11 + 44)/(2 * 11) = (55)/(22)

~

The answer is B I just took the test rn

Find the scale factor of the figures. Then list all pairs of congruent angles.

DEFG∼PQRS

k=

Find the scale factor of the figures. Then list all pairs of congruent angles.DEFGPQRSk=

Answers

9514 1404 393

Answer:

  k = 1/3

  ∠D ≅ ∠P

  ∠E ≅ ∠Q

  ∠F ≅ ∠R

  ∠G ≅ ∠S

Step-by-step explanation:

The scale factor is the ratio of corresponding side lengths. It is convenient to choose one of the sides that has length 1.

  k = QR/EF

  k = 1/3

__

Corresponding angles are listed in the same order by the similarity statement.

  ∠D ≅ ∠P

  ∠E ≅ ∠Q

  ∠F ≅ ∠R

  ∠G ≅ ∠S

Absolute value functions have vertical line
symmetry.
_______
True
or
False

Absolute value functions have vertical linesymmetry._______TrueorFalse

Answers

Answer:

True

Step-by-step explanation:

Solve the problem. Round the point estimate to the nearest thousandth. 32 randomly picked people were asked if they rented or owned their own home, 8 said they rented. Obtain a point estimate of the proportion of home owners.
a. 0.200
b. 0.750
c. 0.781
d. 0.250
e. None of the above

Answers

Answer:

B) 0.750

Step-by-step explanation:

Why is because the answer is 3/4 and 3/4 in decimal form is 0.750.

Elimination was used to solve a system of equations.
One of the intermediate steps led to the equation
3x = 18.
Which of the following systems could have led to
this equation?
4x + y = 20
x - y = 2
x + y = 4
x - 2y = 10
2x + y = 24
- x - y = 6
3x + y = 18
-3x - y = - 18

Answers

Answer:

x + y = 4x - 2y = 10

Step-by-step explanation:

You want to know which set of equations could be combined in such a way as to result in the equation 3x = 18.

Set 14x +y = 20x -y = 2

To obtain a term of 3x, the second equation must be subtracted from the first. That will result in 3x +2y = 18, not the equation of interest.

Set 2x +y = 4x -2y = 10

A term of 3x can be obtained by adding twice the first equation to the second:

  2(x +y) +(x -2y) = 2(4) +(10)

  3x = 18 . . . . . as required

Set 32x +y = 24-x -y = 6

A term of 3x can be obtained by subtracting the second equation from the first. That will result in 3x +2y = 18, not the equation of interest.

Set 4

These equations are dependent. The second is the opposite of the first. They have an infinite number of solutions, not the single solution of the system of equations of interest.

Other Questions
Obtain an equivalent system by performing the stated elementary operation on the system. Multiply the first equation by 1/66x7y132 = 302x +102 = 10 12y7x15z = 42-16x7y132 = 30Z2X +102 =10+-N11gy12y7x15z =42-y -=(Type integers or simplified fractions) a sand timer has 5 5/16 ounces of sand. of sand falls at a rate of 2.5 ounces per minute, how many minutes will the timer last? Consider the enlargement of a triangle that has a scale factor of 7. 5. A small triangle has a base of 5 centimeters and height of 2 centimeters. A larger triangle has a base of b and height of a. Area Original = 1 2 (5)(2) = 5 cm2 What is the area of the enlarged triangle? cm2. When introducing foreign DNA into vector DNA, which of the following is necessary to seal DNA into an opening created by the restriction enzyme?A) DNA ligaseB) DNA polymeraseC) plasmidsD) RNA primaseE) DNA helicase Find the intersection of the following pair of lines. Classify the system - if there is no intersection explain how the lines are related. Show a complete solution process. r1: x = 1 + 2t, y = -1 - t, z = 3t r2: x = 1 + 3u, y = 2 + 2u, z = 3+ 4u A hollow toy, with the dimensions shown in the figure, is to be stuffed with rigid foam. What is the maximum amount of foam that can be stuffed into the toy? Round your answer to two decimal places. Assume that both parts are stuffed and the foam does not expand or contract. A. 52. 46 cubic inches B. 67. 02 cubic inches C. 83. 78 cubic inches D. 112. 15 cubic inches. what changes occurred in america during the WWII Ludonarrative is Greek for your story. True False HURRY UP 21. On December 31, 2020, Russel, Inc. reported retained earnings of $110,000. In 2021, Russel, Inc. had revenuesof $85,000 and expenses of $45,000. In addition, the business paid cash dividends in 2021 of $35,000. Giventhis information, what was Retained earnings on Russel, Inc.s balance sheet on December 31, 2021?a. $100,000b. $115,000c. $130,000d. $155,000e. None of the answers listed above is the correct answer to this question22. JoelEmbi, Inc. has an ROA (return on assets) of 15.2 percent, total assets of $4,500,000 and a net profit marginof 7.6 percent. What are JoelEmbi, Inc.s annual sales? Enter your answer a whole number (i.e., rounded tozero decimal places.23. JimmyButle, LLC. has a debt-to-total assets ratio of 39.6%. What is the companys debt-to-equity ratio? Enteryour answer as a ratio (that is, do not convert to a percent), rounded to 2 decimal places.24. JohCol, Inc has a debt ratio of 27.0% and ROE = 20.2%. What is JohCol, Inc.s ROA? Enter your answer asa percent rounded to 1 decimal place.25. PauGeo, Inc. has an ROA of 18.2% and a debt/equity ratio of 0.83. The firm's ROE is _________. Enteranswer as a percent rounded to 1 decimal place.26. Assume that TraeYoung, Inc. has: Debt ratio = 60% Net profit margin = 15.2% Return on assets (ROA) = 52%Find TraeYoungs Total Asset Turnover ratio. Enter answer as a ratio (that is, do not convert to a percent),rounded to 2 decimal places. A(n) _____ key is very easy to use because it provides only two choices. dichotomous answer monochotomous observation K-means cluster analysis minimizes the cluster inertia for each cluster. what is cluster inertia? Kara's bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is the length of Karas room?A. 13 feetB. 25 feetC. 26 feetD. 38 feet ____________________ design the accounting information system and focus on analyzing and interpreting information by studying the impact of alternative decisions. Determine the direction in which f has maximum rate of increase from P. f(x, y, z) = xyVz, P = (-1,7,9)(Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) A 78 Year-old woman with a 30-year history of hypertension and dyslipidemia and a 10-year history of type 2 diabetes presents with suspected acute coronary syndrome. She is most likely to report a recent onset of: Solve log base 2 of one sixteenth. grayson works in the technology department at a large nonprofit agency. every friday night, he participates in a company softball league, and after every game, he and his coworkers go out for drinks. grayson and his coworkers are participating in what type of organizational ritual? 7,680, 1,920,120, 30What is the missing number in the pattern above? The figure below is a net for a triangular pyramid.12 in length of 1 of 4 triangles.10.39 in height of 1 of 4 triangles.If all the triangles are equilateral, what is the surface area of the pyramid, in square inches? active or passive voice? : how many citrus fruits are grown in florida