Find the surface area of the triangular prism.

Given:

The table of values of an exponential function.

To find:

The missing values in the exponential function.

Solution:

The general exponential function is defined as:

[tex]y=a(b)^x[/tex]              ...(i)

Where, a is the initial value and b is the growth factor.

First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).

[tex]10=a(b)^1[/tex]             ...(ii)

Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).

[tex]20=a(b)^2[/tex]             ...(iii)

Dividing (iii) by (ii), we get

[tex]\dfrac{20}{10}=\dfrac{a(b)^2}{ab}[/tex]

[tex]2=b[/tex]

Putting [tex]b=2[/tex] in (ii), we get

[tex]10=a(2)^1[/tex]

[tex]\dfrac{10}{2}=a[/tex]

[tex]5=a[/tex]

Putting [tex]a=5,b=2[/tex] in (i), we get

[tex]y=5(2)^x[/tex]

The required exponential function for the given table of values is [tex]y=5(2)^x[/tex]. So, the missing values are 2 and x, where 2 is in the base and x is in the power.

Answer:

Step-by-step explanation:

parallel lines

Answer:

C) parallel lines

Step-by-step explanation:

It does not HAVE to be parallel, but it may be.

The others would not yield no solutions

Answer:

umm to me its 2--%456

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

If they are in parentheses, you are going to multiply them, and when you multiply two negatives, you make a positive. which gives you 42.

Answer:

N=10

3n+6=36

3n-2=28

Step-by-step explanation:see photo

Answer:

b = 29.31

Step-by-step explanation:

Given:

m<CEB = 68°

EB = radius = 15

Required:

Length of arc CD

Solution:

Length of arc CD = θ/360 × 2πr

Where,

θ = 180° - 68° = 112° (angles on a straight line)

π = 3.14

r = radius = 15

Plug in the values

Length of arc CD = 112/360 × 2 × 3.14 × 15

= 29.3066667

≈ 29.31

Answer:

11

Step-by-step explanation:

If you're at 8 and move 3 to the right in a number line, you would end up at 11.

Answer:

x = 5, y = -3

Step-by-step explanation:

2x - 3y = -1 ---› Eqn. 1

-2x + y = 7 ----› Eqn. 2

Add both equations

-2y = 6

Solve for y

y = 6/-2

y = -3

Substitute y = -3 into Eqn. 1.

2x - 3(-3) = -1

2x + 9 = -1

2x + 9 - 9 = -1 - 9

2x = -10

2x/2 = -10/2

x = 5

Solution: x = 5, y = -3

Answer:

4a) Irrational

Step-by-step explanation:

The square root of 20 is irrational. There is no number that can multiplied by itself to equal 20.

For a better explanation, the square root of 25 is rational. 5 can be multipled two times to be equivalent to it. Meanwhile, 20 can't.

i dont no okay please stop

Answer:

Surface area of what?

You can ask the question again but also add the pic so that we can help :)

lol find the surface of area what????? i can’t see anything

Answer:

187 paving stones are needed

Step-by-step explanation:

Given

Paving stone

[tex]Length = 1m; Width = 80cm[/tex]

Compound

[tex]Length = 13.6cm; Width = 11m[/tex]

Required

Number of wires to cover the compound

Area is calculated as:

[tex]Area = Length * Width[/tex]

For the paving stone, we have:

[tex]A_1 =1m * 80cm[/tex]

Convert cm to m

[tex]A_1 =1m * 0.80m[/tex]

[tex]A_1 =0.8m^2[/tex]

For the compound, we have:

[tex]A_2 = 13.6m * 11m[/tex]

[tex]A_2 = 149.6m^2[/tex]

Divide the area of the compound by the area of the paving stone

[tex]n = \frac{A_2}{A_1}[/tex]

[tex]n = \frac{149.6}{0.8}[/tex]

[tex]n = 187[/tex]

Answer:

Step-by-step explanation:

[tex]2\sqrt{3}\cos ^2\left(A\right)=\sin \left(A\right)\\\mathrm{Subtract\:}\sin \left(A\right)\mathrm{\:from\:both\:sides}\\2\sqrt{3}\cos ^2\left(A\right)-\sin \left(A\right)=0\\-\sin \left(A\right)+\left(1-\sin ^2\left(A\right)\right)\cdot \:2\sqrt{3}=0\\\sin \left(A\right)=-\frac{2\sqrt{3}}{3},\:\sin \left(A\right)=\frac{\sqrt{3}}{2}\\\mathrm{Combine\:all\:the\:solutions}\\A=\frac{\pi }{3}+2\pi n,\:A=\frac{2\pi }{3}+2\pi n4[/tex]

Step-by-step explanation:

I am sure you are 100 percent Clear. You can follow me to get more answer.

Answer is in your next question.

Answer:

y=2x-2

Step-by-step explanation:

first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept

add 5 to both sides

x+2y=5

subtract x from both sides

2y=-x+5

divide by 2

y=-1/2x+5/2

perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")

to find the slope of I2:

since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))

so here's our equation so far:

y=2x+b

now we need to find b

because line will pass through (3,4), we can use it to solve for b

substitute 4 as y and 3 as x

4=2(3)+b

multiply

4=6+b

-2=b

therefore the equation is y=2x-2

hope this helps!!

Answer:

Decimal: 9.45 Fraction: 236.35/25

Step-by-step explanation:

sorry if the fraction one is wrong.

Step-by-step explanation:

Let y the number of wrong answers got.

[tex]11( + 4) + ( - 1)y = 40 \\ 44 - y = 40 \\ - y = - 4 \\ y = 4[/tex]

∴ He got 4 wrong answers.

Answer:

See explanation

Step-by-step explanation:

a.   [tex]\int\limits^4_1 {(f + g)(x)} \, dx = \int\limits^4_1 {f(x)} \, dx + \int\limits^4_1 {g(x)} \, dx = 11 + 17 = 28[/tex]

b.  [tex]\int\limits^6_4 {f(x)} \, dx = \int\limits^6_1 {f(x)} \, dx - \int\limits^4_1 {f(x)} \, dx = 23 - 11 = 12[/tex]

c.  [tex]\int\limits^4_1 {3f(x)} \, dx = 3\int\limits^4_1 {f(x)} \, dx = 3(11) = 33[/tex]

d.  [tex]\int\limits^4_1 {(g(x) + 2)} \, dx = \int\limits^4_1 {g(x)} \, dx + \int\limits^4_1 \, 2dx = 17 + (8 - 2) = 17 + 6 = 23[/tex]

the answer for this equation is 499 + 199 equals 599

Answer:

Image wont load can you explain the problem to me through comments pls?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:2-3= ur answer then mutiply it by 4 then boom! hope helpsss\

Step-by-step explanation:

Answer: Acute triangle has an acute angle and obtuse triangle equals an obtuse angle.

Step-by-step explanation:

Answer:

$76.95

Step-by-step explanation:

If you reverse it the equation is 16.93 divided by .22 and you get the total which is 76.95

You can check your answer by doing 76.95 times .22 and get the tip which is 16.93

PLEASE MARK ME BRAINLIEST

Answer:

55°

Step-by-step explanation:

Let the centre of the circle be C

mFG=110 (It's hard to read but I assume thats what the 110 marks)

mFG=<FCG=110

Consider ΔFCG (an isosceles triangle since CF=CG=radius). Angles in a triangle add to 180 and <CFG=<CGF so <CFG=(1/2)(180-110)=(1/2)(70)=35°

<EFG+<CFG=90

<EFG+35=90

<EFG=55°

Answer:

-3>x.

Step-by-step explanation:

I did mental math.