What is the surface area of the solid that can be formed by this net?

plz help fast!!!​

What Is The Surface Area Of The Solid That Can Be Formed By This Net?plz Help Fast!!!

Answers

Answer 1

Answer:

58 in^2.

Step-by-step explanation:

This is the sum of the area of 4 small rectangles + the area of the 2 larger  rectangles

= 2*4*1 + 2*5*1 + 2*4*5

=  8 + 10 + 40

= 58 in^2

Answer 2

Answer:

58in^2

Step-by-step explanation:


Related Questions

What is the slope of a line whose equation
is 7x - 5y = 10?

Help me please !

Answers

Answer:

7/5

Step-by-step explanation:

Slope intercept form is y=mx+b. It is called that because it tells us the slope,m, and the y-intercept, b.

So we can solve your given equation to find m the slope.

7x-5y=10

Subtract 7x on both sides:

-5y=-7x+10

Divide both sides by -5

y=(-7/-5)x+(10/-5)

Simplify:

y=(7/5)x+-2

m=7/5 so 7/5 is the slope.

Please help me thank you sooo much

Answers

Answer:

Step-by-step explanation:

Firstly you must understand you want to get the value of  y.

So put in values into equation which make x.

To understand here lets look at  y = 0

if y is to be 0 then x is 3.

If we substitute this value into equation (B) we get the result.

Now we have identified our answer, all is left is to substitute all other values of x and see if y are true.

So , we can see B is the answer

Answer: B

Step-by-step explanation:

The answer has to be either A, or B, because when x input is negative, the y input is positive. Visa versa.

Then just input x and y into the equation to see which answer is correct.

First let’s do A: 12=-2(-3)-6

12=6-6

12 doesn’t equal 0, so A is incorrect

So then B is the obvious solution, but let’s solve it to make sure: 12=-2(-3)+6

12=6+6

This equation is true, so the answer is B

Sn=7k=1Σ[1+ (k-1)(2)]

Answers

Answer:

49

Step-by-step explanation:

I think I have read this right!

You let me know if you did not mean to write the following:

[tex]\sum_{k=1}^{7}(1+(k-1)(2)[/tex]

Alright so the lower limit is 1 and the upper limit is 7.

All this means is we are going to use the expression 1+(k-1)(2) and evaluate it for each natural number between k=1 and k=7 and at both k=1 and k=7.

The sigma thing means we add those results.

So let's start.

Evaluating the expression at k=1: 1+(1-1)(2)=1+(0)(2)=1+0=1.

Evaluating the expression at k=2: 1+(2-1)(2)=1+(1)(2)=1+2=3.

Evaluating the expression at k=3: 1+(3-1)(2)=1+(2)(2)=1+4=5.

Evaluating the expression at k=4: 1+(4-1)(2)=1+(3)(2)=1+6=7.

Evaluating the expression at k=5: 1+(5-1)(2)=1+(4)(2)=1+8=9.

Evaluating the expression at k=6: 1+(6-1)(2)=1+(5)(2)=1+10=11.

Evaluating the expression at k=7: 1+(7-1)(2)=1+(6)(2)=1+12=13.

Now for the adding!

1+3+5+7+9+11+13

  4+  12+    20+13

        16+     33

           49

Johnny had $800.00, sue had $500.00, and Doug had $300.00.who had the most

Answers

Answer:

Johnny

Step-by-step explanation:

I don't think you put the whole question out

a diagnol of a cube measures 15 cm and the length of an edge is 75 square root.What is the length of the diagnol of a face of the cube? Round to the nearest tenth
A. 7.1
B. 12.2
C. 13
D. 15

Answers

I would say it’s A!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

B: 12.2cm

Step-by-step explanation:

Got it right on edge 2021✅

(7-c)(-1)

Simplify the expression

I’ve been stuck on this for a while now and I can’t get through it can someone please help me please

Answers

(7-c)(-1)
-7+c

The answer is -7+c because all you have to do is multiply “7-c” by “-1.”

Hope this helps!

Answer:

-7 +c

Step-by-step explanation:

(7-c)(-1)

Distribute the -1

-1*7 -1*(-c)

-7 +c

What is the equation of a hyperbola with a = 3 and c = 7 Assume that the transverse axis is horizontal.

Answers

Answer:

The equation would be x²/a² - y²/b² =1 , x²/9 - y²/40 = 1 ....

Step-by-step explanation:

The standard equation of hyperbola with a horizontal transverse axis is:

(x-h)²/a² - (y-k)² /b²  = 1

Use Pythagorean theorem to find the value of b.

c² = a²+b²

c= 7

a = 3

Put the value in the equation:

(7)² = (3)² +b²

49= 9+b²

49-9 = b²

40 = b²

Square root both sides:

√40 = √b²

√40 = b

Assume that the center of hyperbola is(0,0)

Thus

(x-0)²/a²  - (y-0)²/b² = 1

x²/a² - y²/b² =1

x²/(3)² - y²/(√40)² = 1

x²/9 - y²/40 = 1

Therefore the equation would be x²/a² - y²/b² =1 , x²/9 - y²/40 = 1 ....

Answer:

[tex]\dfrac{x^{2}}{9} - \dfrac{y^{2}}{40}} = 1[/tex]

Step-by-step explanation:

The standard form of the equation of a hyperbola with center (0,0) and horizontal transverse axis is

[tex]\dfrac{x^{2}}{a^{2}} - \dfrac{y^{2}}{b^{2}} = 1[/tex]

and the distance c between the foci and the y-axis is given by

c² = a² + b²

1. Calculate b

7² = 3² + b²

49 = 9 + b²

40 = b²

b = √40

2. Write the equation

[tex]\dfrac{x^{2}}{3^{2}} - \dfrac{y^{2}}{(\sqrt{40})^{2}} = 1\\\\\mathbf{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{40}}} = \mathbf{1}[/tex]

The figure shows your hyperbola with a horizontal transverse axis and c = 3.

If lmn~ xyz which congruentes are true by CPCTC?

Answers

Answer:

B. LN ≅ XZC. ∠Y ≅ ∠ME. MN ≅ YZ

Step-by-step explanation:

CPCTC: Corresponding Parts of Congruent Triangles are Congruent

If ΔLMN ≅ ΔXYZ, then:

B. LN ≅ XZ

C. ∠Y ≅ ∠M

E. MN ≅ YZ

Corresponding sides:

LN → XZ

LM → XY

MN → YZ

Corresponding angles:

∠L → ∠X

∠N → ∠Z

∠M → ∠Y

Answer:

C. MN=YZ; D. LN=XZ; and F. Y= M

Geometry question
I got it right but I didn’t incorporate the 105
Was I supposed to ?

Answers

Answer:

See below.

Step-by-step explanation:

You didn't need to.

The angle adjacent to angle x = 45 degrees (alternate interior  angle to the angle marked 45).

So x = 180 - 45 = 135 degrees.

Answer:

C. 135

Step-by-step explanation:

In the figure above, line M is parallel to line N. The value of x is 135.

x = 180 - 45 = 135

Solve -2/3 x > 8 or -2/3x <4

Answers

I doubt it says "or". It's probably an and.

[tex]\dfrac{-2}{3}x > 8\wedge\dfrac{-2}{3x} < 4[/tex]

[tex]-2x > 24\wedge3x < \dfrac{4}{-2}[/tex]

[tex]x > -12\wedge x < -\dfrac{2}{3}[/tex]

[tex]\Rightarrow\boxed{-12 < x < -\dfrac{2}{3}}[/tex]

[tex]\Rightarrow\boxed{x\in(-12,-\dfrac{2}{3})}

[/tex]

Hope this helps.

r3t40

Answer:

{x | x < -12 or x > -6}

Perform the indicated operation.
g(t) = 2t + 2
h(t) = t^2 - 2
Find (g•h)(-3)
A.62
B.14
C.16
D.126

Answers

Answer:

C

Step-by-step explanation:

Substitute t = - 3 into h(t), then substitute value obtained into g(t)

h(- 3) = (- 3)² - 2 = 9 - 2 = 7, then

g(7) = (2 × 7) + 2 = 14 + 2 = 16 → C

Graph the line with slope -1/3 and y-intercept-3.

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

In this problem we have

[tex]m=-\frac{1}{3}[/tex]

[tex]b=-3[/tex]

substitute

[tex]y=-\frac{1}{3}x-3[/tex]

To graph the line find out the intercepts

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

[tex]y=-\frac{1}{3}(0)-3=-3[/tex]

The y-intercept is the point (0,-3) -----> is a given value

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

[tex]0=-\frac{1}{3}x-3[/tex]

[tex]x=-9[/tex]

The x-intercept is the point (-9,0)

Plot the intercepts and join the points to graph the line

see the attached figure

Final answer:

To graph the line with a slope of -1/3 and a y-intercept of -3, plot the y-intercept at (0, -3) and use the slope to find additional points. Connect the points to graph the line.

Explanation:

To graph the line with a slope of -1/3 and a y-intercept of -3, we can start by plotting the y-intercept at the point (0, -3). Then, using the slope, we can find additional points on the line. Given that the slope is -1/3, we can move down 1 unit and to the right 3 units from the y-intercept to find the next point. We can continue this process to find more points and then connect them to graph the line.

Learn more about Graphing a line with slope and y-intercept here:

https://brainly.com/question/35469586

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what is the greatest common factor of 8x and 40y

Answers

It’s 8

8( x+ 5y)

Hope this helps!

[tex]8x=2^3\cdot x\\40y=2^3\cdot5\cdot y\\\\\text{gcf}(8x,40y)=2^3=8[/tex]

GCF Problem Set A
GCF (16,24)
GCF (15, 45, 60)​

Answers

Answer:

8

15

Step-by-step explanation:

To find the GCF of numbers, first find the prime factorizations of the numbers. The GCF is the product of common factors with lowest exponent.

GCF (16, 24)

16 = 2^4

24 = 2^3 * 3

GCF = 2^3 = 8

GCF (15, 45, 60)

15 = 3 * 5

45 = 3^3 * 5

60 = 2^2 * 3 * 5

GCF = 3 * 5 = 15

Answer:

A=8, B= 15

Step-by-step explanation:

Solve x2 - 8x - 9 = 0.
Rewrite the equation so that it is of the form
x2 + bx = c.

Answers

Answer:

I just got done doing this. Full answers to all 4 problems are down below. All correct answers are bolded.  

Step-by-step explanation:

First problem: x2 + -8 x = 9

Add 16 to each side x2 – 8x = 9 to complete the square.

Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation. Answer: (x – 4)² = 25

Choose the solutions to the quadratic equation x2 – 8x – 9 = 0. Answer: -1, 9  

The equation x² - 8x - 9 = 0 can be written as x² +(-8x) = 9 which is of the form  x² + bx = c  where,

b = -8

c = 9

What are equations?

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.

How to rewrite the given equation in the given form?

The given equation is

x² - 8x - 9 = 0.

⇒ x² - 8x = 9

⇒ x² +(-8x) = 9

So the given equation is written of the form x² + bx = c, where,

b = -8

c = 9

Find more about "Equations" here : https://brainly.com/question/1833682

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If a gun is fired from 1 inch or less from the target, the lead pattern will be in which shape?


Answers

Hello! What is this for?

Also, The answer is: The lead pattern would be in the shape of a circle.

Answer: The Circle!

Step-by-step explanation:

just took the test!

How much more will the total cost of three adult tickets be than three children tickets? (SHOW WORK) (Table at bottom)

Book Exhibition
Ticket | Cost
Adults | $22
Children | $15
Seniors | $14


Answers

Step-by-step explanation:

cost of adult ticket, AT = $22

Cost of child ticket, CT = $15

Difference in price, D = AT-CT = 22-15 =$7

Difference in price for 3 tickets = 3D = $21

Answer:

Three Adult Tickets will be $22 more than Three Children's Ticket

Step-by-step explanation:

One Adult= $22

One Child =$15

Three adults= $22 x 3= $66

Three Children= $15 x 3= $45

$66 - $45= $21

MARKING BRAINLIEST!!! Please help..

Karen is trying to choose a cellphone plan. Company J charges a subscription fee of $30 per month plus $1 per hour of use.
Company K charges no monthly fee, but charges $3 for every hour of use. Karen made this graph to compare the prices of the two plans....

The lines for company J and company K cross a point.
The coordinate (30,60) is the point at which company J and company K cost the same. What does the point (30,60) mean? (Hint: What is being graphed on the x-axis?

What is being graphed on the Y-axis?).

If Karen used her cell phone for less than 30 hours a month, which company should Karen choose? Why?

IF Karen uses her cell phone for more than 30 hours a month which company should she use? Why?

Answers

1. 12 mph, 24 miles

2. m=4, y=22

3.15/1, $1500

4. x=30 y=60, k cheaper, j cheaper

Which of the following is equivalent to 3 sqrt x^5y

Answers

Answer:

[tex]\large\boxed{x^\frac{5}{3}y^\frac{1}{3}}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ \sqrt[n]{a^m}=a^\frac{m}{n}\ \text{and}\ \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\\\\sqrt[3]{x^5y}=\sqrt[3]{x^5}\cdot\sqrt[3]{y^1}=x^\frac{5}{3}y^\frac{1}{3}[/tex]

Answer:

B

Step-by-step explanation:

edge 2021

Find the linear function that models the town’s population P as a function of the year, t, where t is the number of years since the model began.

Answers

Answer:

The equation is:

[tex]y=2500t+75000[/tex] where t is the number of years satisfying the inequality [tex]0\let\le5[/tex] and y is the population at that time.

Step-by-step explanation:

So it gives us the initial amount 75000; this is what happens at time 0.

So we have the point (0,75000) is on the function's graph.

(0,75000)

(1,77500)  -> It goes 2500 per year. So year 1 the population is 75000+2500.

So we have the y-intercept of the line which is (0,75000).

We just need the slope.

Our goal is to put into slope-intercept form: y=mt+b form where m is the slope and b is the y-intercept.

To find the slope, you line up the points vertically and subtract then put 2nd difference over 1st difference.

(  1   ,   77500 )

-( 0  ,    75000)

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

 1           2500

So the slope is 2500/1=2500 which we should have known earlier since the y's are increasing by 2500 while the x's are increasing by 1.

So while t is between 0 and 5 inclusive we have the following equation:

y=2500t+75000

1452 divided by 44 = (1452 divided by 4) divided by 11

This division problem uses the method of...

A. Fractions
B. Repeated Subtraction
C. Factors
D. The Distributive Property

Answers

Answer:

Option C is correct.

Step-by-step explanation:

We are given

1452 divided by 44 = (1452 divided by 4) divided by 11

We know that 44 = 4*11

So, 4 and 11 are factors of 44.

This division problem uses the method of Factors.

Option C is correct.

Use a half-angle identity to find the exact value of tan 165 degrees

Answers

Answer:

√3 - 2.

Step-by-step explanation:

Let A = 330 degrees so  A/2 = 165 degrees.

tan A/2 = (1 - cos A) /  sin A

tan 165 = (1 - cos 330) / sin 330

= (1 - √3/2) / (-1/2)

=  -2(1 - √3/2)

= -2 + 2 * √3/2

=  √3 - 2.

Answer:

[tex]\sqrt{3}[/tex] - 2

Step-by-step explanation:

Using the half- angle identity

tan( [tex]\frac{x}{2}[/tex] ) = [tex]\frac{sinx}{1+cosx}[/tex]

[tex]\frac{x}{2}[/tex] = 165° ⇒ x = 330°

sin330° = - sin30° = - [tex]\frac{1}{2}[/tex]

cos330° = cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]

tan165° = [tex]\frac{sin330}{1+cos330}[/tex]

            = [tex]\frac{-\frac{1}{2} }{1+\frac{\sqrt{3} }{2} }[/tex]

            = - [tex]\frac{1}{2}[/tex] × [tex]\frac{2}{2+\sqrt{3} }[/tex]

            = - [tex]\frac{1}{2+\sqrt{3} }[/tex]

Rationalise by multiplying numerator/ denominator by the conjugate of the denominator

The conjugate of 2 + [tex]\sqrt{3}[/tex] is 2 - [tex]\sqrt{3}[/tex], hence

tan 165°

= - [tex]\frac{2-\sqrt{3} }{(2+\sqrt{3})(2-\sqrt{3})  }[/tex]

= - [tex]\frac{2-\sqrt{3} }{4-3}[/tex]

= - (2 - [tex]\sqrt{3}[/tex] )

= - 2 + [tex]\sqrt{3}[/tex] = [tex]\sqrt{3}[/tex] - 2

what is the reference angle for 7pi/6​

Answers

Answer:

[tex]\frac{\pi }{6}[/tex]

Step-by-step explanation:

[tex]\frac{7\pi }{6}[/tex] is in the third quadrant

To find the reference angle subtract π from it, that is

reference angle = [tex]\frac{7\pi }{6}[/tex] - π = [tex]\frac{\pi }{6}[/tex]

Can someone help please?

Answers

Answer:

Part 1) The area of the structure is [tex]2,453.25\ ft^{2}[/tex]

Part 2) The slab will contain  [tex]1,226.625\ ft^{3}[/tex] of cement

Step-by-step explanation:

Part 1) Find the area of the structure

we know that

The area of the structure is equal to the area of rectangle plus the area of semicircle

Find the area of rectangle

The area of rectangle is equal to

[tex]A=LW[/tex]

we have

[tex]L=70\ ft[/tex]

[tex]W=30\ ft[/tex]

substitute

[tex]A=(70)(30)[/tex]

[tex]A=2,100\ ft^{2}[/tex]

Find the area of semicircle

The area of semicircle is

[tex]A=\frac{1}{2}\pi r^{2}[/tex]

we have

[tex]\pi =3.14[/tex]

[tex]r=15\ ft[/tex]

substitute

[tex]A=\frac{1}{2}(3.14)(15)^{2}[/tex]

[tex]A=353.25\ ft^{2}[/tex]

Find the area of the structure

Adds the areas

[tex]A=2,100+353.25=2,453.25\ ft^{2}[/tex]

Part 2) If the structure is 6 in thick, how many cubic feet of cement will the slab contain?

Remember that

[tex]1\ foot=12\ inches[/tex]

Convert inches to feet

[tex]6\ in=6/12=0.5\ ft[/tex]

Find the volume of the structure

To obtain the volume , multiply the area by 0.5 ft (thick)

so

[tex]V=2,453.25*0.5=1,226.625\ ft^{3}[/tex]

An irrational number written in
decimal form will be nonterminating
and non
A. essential
B. repeating

Answers

Answer:

B. repeating

Step-by-step explanation:

An irrational number written in  decimal form will be nonterminating  and non-repeating  decimals.

For example we have √2 = 1.4142

This rational number is non-terminating and non-repeating.

Answer:

repeating

Step-by-step explanation:

If C is the midpoint of segment AB and AB = 20, what is AC?

Answers

AB= 20 and AB is the full line.

We will have to divide the length of the segment by 2 to find AC.

20/2= 10

AC is 10 units. Hope this helps!

Answer: the answer is: AC= 10

Step-by-step explanation:

you can imagine a line that represents AB with 20cm of large and the midline is located in the middle of this line; this means that AC is the half of AB

So in number=

[tex]AC= AB/2[/tex]

replacin [tex]AB[/tex]

[tex]AC= 20/2[/tex]

[tex]AC=10[/tex]

Sat math. Only one question. I am not sure of the answer

Answers

Answer:

8

Step-by-step explanation:

To find Y, find X first. Multiply 2 by W (3) which is 6, and divide by 3, which gives us X=2. The inequality W+Z=X+Y substituted is 10=2+Y. Subtract 2 from 10 and you get Y=8

Answer:

13) 8

14) 2X  or 4W/3 (depending on what the choices are)

Step-by-step explanation:

So I'm using the box given:

If                                 then

W  X                            W+Z=X+Y and 2W=3X

Y    Z

13)

3   X                           3+7=X+Y and 2*3=3*X

Y   7

To get W,X,Y, and Z I compared it to the first lay out and then replace the other W's,X's,Y's, and Z's.

So we have 3+7=X+Y which means 10=X+Y.

We also have 2*3=3*X which means 2=X (I divided both sides by 3).

If X=2 then 10=X+Y gives us 10=2+Y.

10=2+Y can be solved by subtracting 2 on both sides:

8=Y

Y=8

14)

W  X                                  W+W=X+Y and 2W=3X

Y   W

So W+W=X+Y means 2W=X+Y

We are also given 2W=3X which means by substitution into the first equation we get 3X=X+Y.

3X=X+Y can be solved by subtracting X on both sides:

2X=Y

We can also write Y in terms of W.

We have 2W=3X so that means X=2W/3 (I divided both sides by 3)

Now I'm going to replace X in 2X=Y with (2W/3) giving me:

2(2W/3)=Y

4W/3=Y

A company borrowed 25,000 at 3.5 % and was charged 2,625 in interest. How long was it before the company repaid the loan?

Answers

[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&2,625\\ P=\textit{original amount deposited}\dotfill & \$25,000\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years \end{cases} \\\\\\ 2625=(25000)(0.035)t\implies \cfrac{2625}{(25000)(0.035)}=t\implies 3=t[/tex]

Answer:

The  number of years = 3 years

Step-by-step explanation:

Points to remember

Simple interest

I = PNR/100

Where P - Principle amount

N - Number of years

R - Rate of interest

To find the number of years

Here P = 25,000

R = 3.5% and I = 2625

I = PNR/100

N = (I * 100)/PR

 = (2625 * 100)/(25000 * 3.5)

 = 3 years

Therefore number of years = 3 years

Use the distributive property to solve the following 4(4a+6b)

Answers

[tex]4(4a+6b) =16a+24b[/tex]

3. Write an equation for the line that is parallel to the given line and that passes
through the given point.
y=5/2x-10:(-6.-29)

Answers

Answer:

y = 2½x - 14

Step-by-step explanation:

You simply do this:

-29 = 5⁄2[-6] + b; -14 = b

-15

Now remember, parallel rate of changes [slopes] have SIMILAR slopes, so they remain the same.

**2½ = 5⁄2 [Do not worry]

I am joyous to assist you anytime.

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Which of the following statements is true of -4 and 4? Select all that apply. They are a zero pair They are opposites They are the same distance from zero Use the system of equations to answer the questions. 2x + 3y = 3 y = 8 3x The value of y from the second equation is substituted back into the first equation. What is the resulting equation? What is the value of x? What is the value of y? equation for the reaction of rubidium with an Arrhenius base I was running out of time. Theyd said theyd give me until sundown, and that was only a few hours away. I had to...Short Story Completion... please anybody give me ideas!!! identify the graph and describe the solution set of this system of equalities y>1/3x+5 and y Shortly after the Munich Agreement gave Germany the Sudetenland, Hilter invaded a.Britain. b.France. c.Poland. d.Italy. Two parallel plate capacitors are identical, except that one of them is empty and the other contains a material with a dielectric constant of 4.2 in the space between the plates. The empty capacitor is connected between the terminals of an ac generator that has a fixed frequency and rms voltage. The generator delivers a current of 0.29 A. What current does the generator deliver after the other capacitor is connected in parallel with the first one? The elimination of 5bromononane on treatment with potassium ethoxide is stereoselective. Select the correct Newman projections of 5bromononane showing the conformations that lead to cis4nonene and trans4nonene, respectively. Identify the proton that is lost in each case by selecting the Newman projections that have this hydrogen colored blue. Suggest a mechanistic explanation for the observed stereoselectivity. Leads to cis4nonene: when numbers are divided, you (add / subtract) exponents and (multiply / divide) the bases. (Scientific Notation) Alfonso explica al mdico sus _______.a.recetasc.espaldasb.pastillasd.sntomas Which of the following suits would not fall within the United States Supreme Court's original jurisdiction under Article III, Section 2?A A suit seeking to assert the interest of state citizens in retaining diplomatic relations with a foreign nation.B A suit seeking to protect a state's timber from allegedly illegal cutting by residents of another state.C A suit seeking to enjoin enforcement of an allegedly unconstitutional executive order that will greatly limit the state's authority to make policy decisions regarding admission to state universities.D A suit by the United States Government seeking to enjoin state construction of a bridge over a navigable waterway. Jake has just become the senior marketing rep for a new chain of upscale hotels. His first responsibility is to develop aplan, commonly referred to as the Answer these questions please: You don't need to plot the point just answer B & C. Also every single coordinate plane is like a normal coordinate plane except there are only 5 and 10 labeled.1) Use the coordinate plane below to answer the questions.a. Plot a point at the origin. Label the point O.b. Plot another point that is three units to the right and four units down from theorigin.c. What are the coordinates of this point?2)Use the coordinate plane below to answer the questions.a. Plot a point at (5, 2). Label the point P.b. Plot another point that is four units to the left and two units down from point P.c. What are the coordinates of this point?3)Use the coordinate plane below to answer the questions.a. Plot a point at (-6, -1). Label the point Q.b. Plot another point that is eight units to the right and five units up from point Q.c. What are the coordinates of this point?4)Use the coordinate plane below to answer the questions.a. Plot a point in Quadrant II. Label the point R. What are the coordinates of pointR?b. Plot another point that is two units to the right and six units down from point R.c. What are the coordinates of this point?5)Use the coordinate plane below to answer the questions.a. Plot a point in the Quadrant IV. Label the point S. What are the coordinates ofpoint S?b. Plot another point that is seven units to the left and four units up from point S.c. What are the coordinates of this point? If a population has MORE environmental resistance than biotic potential, it will ______A. IncreaseB. DecreaseC. Remain stableD. Sharply rise and fall Fidel: Qu hiciste el verano pasado?Alejandro: El verano pasado, yo ________ de vacaciones a la playa 32. Quality Control A campus bookstore buys 100 calcula-tors. Assume that 2 have a defect of some kind. The math-ematics department buys 8 of these calculators from thebookstore. What is the probability that, of those calcula-tors bought by the mathematics department,(a) All are free of defects?(b) Exactly 1 will have a defect?(c) Exactly 2 will have a defect? What is the name of the political system used in Britain? Two point charges each experience a 1-N electrostatic force when they are 2 cm apart. If they are moved to a new separation of 8 cm, what is the magnitude of the electric force on each of them? If the wavelength of orange light is 6 10-7 m, calculate its frequency. f = _______ Hz Use Laplace transforms to solve the initial value problem. x" + 9x = 1;x (0) = 0 = x' (0)