18) Jacob is trying to decide whether to attend akeshore University or Bayside University. He
likes both schools equally, and both schools sent him letters of acceptance. Recently
Lakeshore University raised its tuition by 6%. Which statement is most reasonable in this
situation?
a) Jacob should attend Bayside University since it will be less expensive.
b) Jacob should gather more information about tuition before making a decision.
c) Jacob should not worry about a 6% tuition increase since this is a small percent.

Answer:

5x + 6 = 0

5x = - 6

x = - 6/5

-6/5 is the answer

Answer:

x = 80 degrees

Step-by-step explanation:

Draw a line through DG and name the intersection of that line and line AB as K.

By the same side interior angle theorem, GKC is 40 degrees.

By the sum of interior angles of triangle theorem, CGK is 180-70=110 degrees.

By supplementary angle theorem, x = 80 degrees.

Answer: 60

Step-by-step explanation:

in geometry all of the equilateral triangles sides are all 60 degrees.

[tex]\dfrac{\sqrt[3]{343}}{\sqrt[3]{-343}}=\dfrac{\sqrt[3]{343}}{-\sqrt[3]{343}}=-1[/tex]

Answer:

  -3/2 < a < 2/3

Step-by-step explanation:

In the fourth quarter of the coordinate plane, x > 0 and y < 0. This means ...

  2a +3 > 0

  3a -2 < 0

__

The first inequality has the solution ...

  2a > -3 . . . . subtract 3

  a > -3/2 . . . . divide by 2

The second inequality has the solution ...

  3a -2 < 0

  3a < 2 . . . . add 2

  a < 2/3 . . . divide by 3

The set of values of 'a' that put P in the fourth quarter is ...

  -3/2 < a < 2/3

Answer:

#5. C 4

#4. J 0.3 meters

Step-by-step explanation:

No. 5

f(-7) = -3-(-7)

f(-7) = 4

C

No. 4

s = sqrt(0.09)

s = 0.3 meters

Refer to the attachment for the graph.

[tex]\mathbb{MIREU} [/tex]

Khalil uses the method of similar triangles to find the distance across the river, [tex]\overline{PR}[/tex]

Reasons:

The distances between the formed the sight-lines are;

[tex]\overline{RB}[/tex] = 185 feet

[tex]\overline{OC}[/tex] = 275 feet

The distance between the point close to the river and the next point further from the river [tex]\overline{RO}[/tex] = 150 feet

In triangles ΔPRB and ΔPOC, we have;

∠PRE = ∠POC = 90° Given

∠PER ≅ ∠PCO By corresponding angle formed between two parallel lines and a common transversal.

∴ ΔPRE is similar to ΔPOC by Angle-Angle, AA, similarity theorem

Which gives;

[tex]\displaystyle \frac{\overline {PR}}{\overline {PO}} = \mathbf{\frac{\overline {RE}}{\overline {OC}}}[/tex]

Let x represent the distance across the river, we have;

[tex]\overline{PR}[/tex] = x

[tex]\overline{PO}[/tex] = 150 + x

Which gives;

[tex]\displaystyle \frac{x}{150 + x} = \frac{185}{275}[/tex]

275·x = 185 × (150 + x) = 27,750 + 185·x

275·x - 185·x = 27,750

90·x = 27,750

[tex]\displaystyle x = \frac{27,750}{90} = \mathbf{308.\overline 3}[/tex]

Therefore, the distance across the river, x = [tex]\mathbf{\overline{PR}}[/tex] = [tex]\underline{308.\overline 3 \ feet}[/tex]

Learn more about similar triangles here

https://brainly.com/question/10703692

Answer:

con que?

Step-by-step explanation:

[tex] {32}^{2x} = 16 ^{2x + 8} \\ = > {2}^{5(2x)} = {2}^{4(2x + 8)} \\ = > {2}^{10x} = {2}^{8x + 32} \\ = > 10x = 8x + 32 \\ = > 10x - 8x = 32 \\ = > 2x = 32 \\ = > x = \frac{32}{2} \\ = > x = 16[/tex]

Answer:

x = 16

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

The Answer is Option A or Option B

Step-by-step explanation:

First let's review what point slope form is.

[tex]y - y 1 = m(x - x1)[/tex]

To take a line and put it into point slope form you need to identify one of the points. In this case the point is either (-3, -4) or (-3, 4) but without a graph attached I cannot personally say which one it is.

You will also need to identify the slope of the line (m) based on the graph, so identify if the graph is ascending or descending. This alone can determine your answer

Again, there is no graph provided so it is up to you to determine if it is Option A or B.

I really hope this helps and you have a great rest of your day!

Note: I am not a professional educator so take my opinion carefully.

=)

[tex](2 + \sqrt{3} ) + (4 - \sqrt{3} ) \\ = 2 + \sqrt{3} + 4 - \sqrt{3} \\ = 2 + 4 \\ = 6[/tex]

Answer:

6

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

Answer:

16

Step-by-step explanation:

Answer:

40m3

Step-by-step explanation:

Multiply the area x the height

Step-by-step explanation:

the volume of a prism or simply "box" is base area × height.

so, we have

8 × 5 = 40 m³

Answer:

carbon take x(1)+4(-2)=0

x(1)-8=0

x(1)=8

x=8

Answer:

$2

Step-by-step explanation:

To use a percent you must change it to a decimal.

8% is .08

To find 8% of 25, we use multiplication.

.08 × 25

= 2

In case you cannot use a calculator or you want to be very quick about this, or just do a simple check... you can actually reverse the number (money, amount, etc) and the percent.

25% of 8 is not bad for doing mental math. 25% is a quarter, or 1/4 of 8 which again is 2.

Answer:ITS THE SECOND ONE

Step-by-step explanation:

Step-by-step explanation:

first line multiplied with first column. then with second column. and then third.

then the same for the second line and then the third line.

BA11 = 5×3 + 7×3 + 3×2 = 38

BA12 = 5×1 + 7×6 + 3×-1 = 44

BA13 = 5×2 + 7×-4 + 3×-3 = -27

BA21 = -2×3 + -1×3 + 9×2 = 9

BA22 = -2×1 + -1×6 + 9×-1 = -17

BA23 = -2×2 + -1×-4 + 9×-3 = -27

BA31 = 4×3 + 3×3 + 1×2 = 23

BA32 = 4×1 + 3×6 + 1×-1 = 21

BA33 = 4×2 + 3×-4 + 1×-3 = -7

Answer:

the quantity seven minus three divided by two

Step-by-step explanation:

its math

Answer:

that would be 20 lol

Step-by-step explanation:

Answer:

480

we round up because the last number is bigger than 5

Step-by-step explanation:

To find the equation you must first find the gradient and also look for the points on the graph.

I see point ( 0, 2) and point (4, 1)

Hence first find the gradient before equation

the gradient = y2-y1/x2-x1

y2 = 1

y1 = 2

x2 = 4

X1 =0

if you put in the values it will look like

1-2/4-0

-1/4

the gradient = -1/4

So for the equation the formula is

remember m is the gradient

y - y1 = m ( x - x1 )

so put in the value from only one point so you can choose either (0,2 ) or (4,1 )

I will go with (4, 1)

y - y1 = m ( x - x1 )

y - 1 = m ( x - 4 )

y -1 = -1/4 ( x - 4)

4 ( y-1) = -1(x-4)

4y- 4 = -1x +4

4y - 4 -4 = -1x

4y -8= -1x

4y + 1x -8 = 0

this is the equation.

thanks and good luck.

Answer:

x = 7

Step-by-step explanation:

3x - 8 = 13,

1st, add 8 to the other side. Therefore 8 + 13 which is 21.

2nd, divide 3 from 3x and 3 from 21.

3rd you receive the answer which is 7

the solution to the system of equation from the replacement set is -5

Given the equation −6z+1=−4−7z, we are to find the value of z from the given equation:

Given

−6z+1=−4−7z

Collect the like terms;

-6z + 7z = -4 - 1

Simplify the result

z = -4 -1

z= -5

Hence the solution to the system of the equation from the replacement set is -5

Learn more on equation here: https://brainly.com/question/2972832

Answer:

-5

Step-by-step explanation:

I took the quiz in k12

Answer:

  (c)  y^2/16 -(x -7)^2/9 = 1

Step-by-step explanation:

The center, focus, and vertex are on a vertical line, so the hyperbola opens in the direction of the y-axis. The y-term will have the positive coefficient.

The vertex-center distance in the y-direction is 4, so the denominator of the y-term is 4^2 = 16. The denominator of the x-term is 5^2 -16 = 9, where 5 is the center-focus distance.

The equation is ...

  y^2/16 -(x -7)^2/9 = 1