A street light cast a 10 foot shadow, while a 6 foot man cast a 4 foot shadow. in feet, what is the height of the street light

Answer:

Area: 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Calculus

Derivatives

Derivative Notation

Integrals - Area under the curve

Trig Integration

Integration Rule [Fundamental Theorem of Calculus 1]:                                        [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                             [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                           [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

U-Substitution

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = 8sin(x) + sin(8x)[/tex]

[tex]\displaystyle y = 0[/tex]

Bounds of Integration: 0 ≤ x ≤ π

Step 2: Find Area Pt. 1

Step 3: Identify Variables

Identify variables for u-substitution.

u = 8x

du = 8dx

Step 4: Find Area Pt. 2

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration - Area under the curve

Book: College Calculus 10e

Answer:

Step-by-step explanation:

so if x = 3 4 5 6

then

y=3x3+3

y=12

y=4x3+3

y=15

y=5x3+3

y=18

y=6x3+3

y=21

The other choices are false, so choice C is the only solution here.

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Explanation:

Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.

The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...

See the diagram below.

Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.

With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.

The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.

Answer: 2nd one

Step-by-step explanation:

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

The equations are :

-3x + 4y = 7. - [1]

2x + y = -1 - [2]

[tex] \underline{ \underline{ \bf{step} - 1}}[/tex]

multiply equation [2] with 4

[tex] \longrightarrow(2x + y = -1 ) \times 4[/tex]

[tex] \longrightarrow8x + 4y = - 4[/tex]

[tex] \underline{ \underline{ \bf{step} -2}}[/tex]

subtract equation [1] from [2]

[tex] \longrightarrow8x + 4y - ( - 3x + 4y) = - 4 - 7[/tex]

[tex] \longrightarrow8x + 4y + 3x - 4y = - 11[/tex]

[tex] \longrightarrow11x = - 11[/tex]

[tex] \longrightarrow \: x = - 1[/tex]

[tex] \underline{ \underline{ \bf{step} - 3}}[/tex]

plugging the value of x in equation [1]

[tex] \longrightarrow- 3x + 4y = 7[/tex]

[tex]\longrightarrow - (3 \times - 1) + 4y = 7[/tex]

[tex]\longrightarrow3 + 4y = 7[/tex]

[tex]\longrightarrow4y = 4[/tex]

[tex]\longrightarrow \: y = 1[/tex]

[tex] \#TeeNForeveR[/tex]

Answer:

15

Step-by-step explanation:

0.75 lemon grass seedling and a black pepper seedling from a plant nursery

Answer:

40 points

Step-by-step explanation:

40 + 20 = 60

100 - 60 = 40

so round three equals 40 points

Answer:

60 points in round 3

Step-by-step explanation:

Since the total is 100, and they already got 40 points (from round 1 and 2) then just subtract them from the total to find what you got in round 3.

Answer:

We can predict the vertex point of [tex]g(x)[/tex] by vectorial sum, which is equal to [tex]V_{G}(x,y) = (h - 3, k + 7)[/tex].

Step-by-step explanation:

The vertex of [tex]g(x)[/tex] is equal to the vectorial sum of the vertex of [tex]f(x)[/tex] and the translation vector:

[tex]V_{G}(x,y) = V_{F}(x,y) + T(x,y)[/tex] (1)

Where [tex]T(x,y)[/tex] is the translation vector.

If we know that [tex]V_{F} (x,y) = (h,k)[/tex] and [tex]T(x,y) = (-3, 7)[/tex], then the formula for the vertex of [tex]g(x)[/tex] is:

[tex]V_{G}(x,y) = (h,k) +(-3, 7)[/tex]

[tex]V_{G}(x,y) = (h - 3, k + 7)[/tex]

Answer:

you are absolutely correct .........

Answer:

40 words per minute

Step-by-step explanation:

[tex]\frac{1}{y} :\frac{3}{120}[/tex]

y · 3 = 1 · 120

3y = 120

3y ÷ 3 = 120 ÷ 3

y = 40

Answer:

1. 40 words per minute

Step-by-step explanation:

3 minutes = 120 words

1 minute = 120/3 = 40 words

Answer:

Solution given;

length[l]=20cm

for trapezoid

side 1=37cm

side 2=15cm

height[h]=25.7cm

we have

volume =area of trapezoid *length

the volume of the figure13364cm³.

Answer:

The maximum value is the 10's.

Step-by-step explanation:

Look at the chart and see which one has the most.

Answer:

[tex]5.23 \times {10}^{ - 5} [/tex]

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Explanation:

x = number of months

y = account balance

The first column of the table has (x,y) = (8,470) to mean that on month 8, her balance was $470

Then we have (10, 390) meaning x = 10 and y = 39. As x increased by 2, y dropped by 470-390 = 80 dollars. She withdrew $80 over the course of two months. Therefore, she is withdrawing 80/2 = 40 dollars a month. This is the slope value. It represents the rate of change. We could use the slope formula to find the same result.

Let m = -40 be the slope. It's negative to indicate the value of y goes down as x goes up, or vice versa.

With m = -40, x = 8 and y = 470, we can find the y intercept b like so

y = mx+b

470 = -40*8+b

470 = -320+b

470+320 = b

790 = b

b = 790 is the y intercept, and it represents the initial account balance before Katie started withdrawing money.

In other words, it represents the starting amount of money she has.

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

As a slight alternative, we could use the point slope form to find the y intercept

y - y1 = m(x - x1)

y - 470 = -40(x - 8)

y = -40(x-8) + 470

y = -40x + 320 + 470

y = -40x + 790

You don't have to use (x,y) = (8,470). You can use any column you want from the table of values. The value of m will be m = -40 the whole time however.

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

As a way to check to see if we have the correct equation, try plugging in various values of x to see if you get the proper y values as outputs as shown in the table.

For instance, if we tried x = 10, then,

y = -40x + 790

y = -40*10 + 790

y = -400+790

y = 390

That confirms column 2. I'll let you verify the other columns.

Answer:5

Step-by-step explanation:

you need to use Pythagoreans theorem

a^2 + b^2 = c^2

said out loud it sounds like

a squared plus be squared equals c squared

The first thing to know is that C is your hypotenuse

That means it is both

That's the only side that really matters, when you are using the theorem.  The other 2 can be switched and it won't make a difference.

for this problem

a=unknow

b=12

c=13

a^2 + 12^2 = 13^2

a^2 +(12)(12) = (13)(13)

a^2 + 144 = 169

       -144       -144

a^2 = 25

take the square root of both sides

a = 5

Answer and Step-by-step explanation:

The answer is C ∠TUV.

If we were to place the triangles in the same position, the points P and T would match up, points R and U would match up, and points Q and V would match up.

#teamtrees #PAW (Plant And Water)

Answer:

angle BFD

Step-by-step explanation:

ZBFD has the same line as ZDFE, therefore they are adjacent or next to eachother.

Answer:

D) 122

E) 30

F) 28

Step-by-step explanation:

Angle D:

value of angle across is equal to angle D = 122

Angle E:

value of angle across is equal to angle E = 30

Angle F:

180 - 122-30

Answer:

D) 122

E) 30

F) 28

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

anything that gives u the same answer which is 35. so it can be 9+ 26 or 11+ 24 or 10+15 and so on

Answer:

35

Step-by-step explanation:

Answer:

C.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

(i)  29 : 6

(ii)  5 : 29

(iii) 6 : 5

Step-by-step explanation:

Sum of two number = 95

Let the first number be x, then another number be x + 15.

According to the question, x + x + 15 = 95

=>2x+15=95

=>2x+15-15=95-15

=>2x=80

=>x=40

Hence, the first number = 40

And another number = 40 + 15 = 55.

Answer:

5/4 cups of flour

Step-by-step explanation:

3/4+1/2 = 1 1/4 or 5/4

[tex]cosec( \theta) = \frac{1}{sin( \theta)} [/tex]

[tex]sin( \theta) = \frac{opposite}{hypotenuse} [/tex]

[tex]cosec( \theta) = \frac{hypotenuse}{opposite} [/tex]

[tex]cosec( \theta) = \frac{21}{4 \sqrt{5} } [/tex]

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!A Milkshake!!!!!

Answer:

a milkshake

Step-by-step explanation:

tha malk is shakin'

Answer:

Given:

Train travels

Distance - 90Km

Time - 3hrs

Distance - 120Km

Time - 2hrs

Average speed - ?

190 – 120

70Km - 1Hr

=70Km/hrs