Sonya took a total of 12 quizzes over the course of 4 weeks. After attending 5 weeks of school this semester, how many quizzes will Sonya have taken in total?

Answer:

A) tan(45°) help us to find the height of the tree because it relates our unknown with a known length (the length of the shadow)

B) tan(45°) = x/35.6

C) x = 35.6 ft

Step-by-step explanation:

B) From definition:

tan(45°) = opposite/adjacent

opposite to angle 45° is x ( the height of the tree), adjacent to angle 45° is the length of the shadow (35.6 ft). Replacing into the equation:

tan(45°) = x/35.6

C) tan(45°) = 1

Then:

1 = x/35.6

35.6 ft = x

#1

As here base is given

We need the height or perpendicular

so tangent is the easiest way to be used

#2(No problem given,may refering to part C)

#3

as sin45=cos45

Put value

Answer:

(0, -10)

Step-by-step explanation:

Just set x = 0 and find the function value:  3(0)^2 - (0) - 10 = -10.

Thus, the y-intercept is (0, -10)

Answer:

A-23,702,805

B- 562,003.722

The standard forms of the given numbers are: Twenty three million seven hundred two thousand eight hundred five can be written as 23,728,805. Five hundred sixty two thousand three and seven hundred twenty two thousandths can be written as 562,003.722. (2 x 1 000 000) + (9 x 10 000) + (1 x 1000) + (4 x 100) + (7 x 0.1) can be written as 2,094,727.

Here is the explanation for each of the answers:

A) Twenty three million seven hundred two thousand eight hundred five can be written as 23,728,805 by grouping the digits into millions, thousands, hundreds, tens, and units.

B) Five hundred sixty two thousand three and seven hundred twenty two thousandths can be written as 562,003.722 by placing the decimal point after the three and then adding two zeros to the right of the decimal point. The thousandths digit is 722, so we need to add two zeros to the right of the decimal point to make sure that the number is accurate to the thousandths place.

C) (2 x 1 000 000) + (9 x 10 000) + (1 x 1000) + (4 x 100) + (7 x 0.1) can be written as 2,094,727 by collecting like terms together. The first term, 2 x 1 000 000, is equal to 2,000,000. The second term, 9 x 10 000, is equal to 90,000. The third term, 1 x 1000, is equal to 1000. The fourth term, 4 x 100, is equal to 400. The fifth term, 7 x 0.1, is equal to 7. Adding all of these terms together, we get 2,094,727.

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Answer:

There you go.

Step-by-step explanation:

Please do tell me if it's wrong.

Answer:

5

Step-by-step explanation:

LM + MN = LN

4+5x = 9x

Subtract 5x from each side

4+5x-5x = 9x-5x

4 = 4x

Divide by 4

4/4 = 4x/4

1 =x

We want MN

5x =5*1 = 5

MN =5

Answer:

the length of MN is 5(1), or 5

Step-by-step explanation:

Segments add up to 9x here:  4 + 5x = 9x, so 4 = 4x and x must therefore be 1.

Then the length of MN is 5(1), or 5, and the length of LN is 9(1) = 9.

Answer:

a = 34

b = 34

c = 36

Step-by-step explanation:

a ; b ; c = consecutive numbers =>

b = a + 1

c = a + 2

a + 2b + c - 7 = 133

a + 2(a + 1) + (a + 2) - 7 = 133

a + 2a + 2 + a + 2 - 7 = 133

4a = 133 + 7 - 4

4a = 136

a = 34

b = 34

c = 36

Answer:

[tex]\frac{5}{2} ; -4[/tex]

Step-by-step explanation:

2x² + 3x - 20 = 0

a = 2 ; b = 3 ; c = -20

[ -b ± √(b² - 4ac) ] /2a = [-3±√(3²-4*2*-20]/2*2

                                 = [-3±√(9+160)]/4

                                = [-3±√169 ]/4

                                = [-3± 13]/4

                                = [tex]\frac{-3+13}{4} ;\frac{-3-13}{4}\\\\=\frac{10}{4} ; \frac{-16}{4}\\\\=\frac{5}{2} , -4[/tex]

2x² + 3x - 20 = 0

2x² + 8x - 5x - 20 = 0

2x(x+4) - 5(x+4) = 0

(x+4)(2x-5) = 0

x+4 = 0

x = -4

2x - 5 = 0

2x = 5

x = 5/2

Answer:

f=4

Step-by-step explanation:

6f = 24

÷6    ÷6

f=4

Answer:

f = 4

Step-by-step explanation:

6f = 24

f = 24/6

f = 4

Answer:

length= 24 inches

width= 7 inches

Step-by-step explanation:

Start by writing down what you know.

width= w

length= 3w+3

Then, we can substitute into the perimeter of a rectangle equation, P=2l+2w.

62= 2(3w+3) + 2(w)

62=6w+6+2w

62=8w+6

56=8w

7=w

Now, plug this into our original equations for length and width:

width=7

length= 3(7)+3, so 24

Answer:

-2b, b/12, -0.9b

Step-by-step explanation:

They all contain the same variable, B

Answer:

B, D, and E

Step-by-step explanation:

The only terms that can be combined are like terms. The 3 like terms in this expression are the b terms: -2b, b/12, and -0.9b. These 3 can be combined since they are like terms.

Hope this helps! Plz give me brainliest, it will help me achieve my next rank.

Answer:

No.  She only estimated instead of hovering over the intersection to find the exact point.

Step-by-step explanation:

I used a graphing tool to graph the two lines. They pass at (6.25, -6.25). Since Keisha said the solution was (6, -6), which is not correct, she has most likely rounded the two values instead of finding the exact one.

Answer:

No. She used the wrong slopes when graphing the equations.

hope this helps i did it in Edge and got it right

mark me brainliest pls

Answer:

(1,18)

Step-by-step explanation:

use a graphing calculator to graph the function

then, graph all the coordinates given and find on that's on the graph

Answer:

Step-by-step explanation:

To answer this question we should analyze both functions :

here we must solve both equations :

the first one is obvious x=0 the scond is more interesting :

x²+2=0⇔x²=-2 wich is impossible since x²≥0 unless we use complex numbers .

So we notice thatf has one intercept.

we added 2 to f to get g but no real intercepts

Answer:

25 sweets.

Step-by-step explanation:

If you have 56 sweets and you give 2/7 to Adam, you will have 5/7 of the sweets left. 56 * (5 / 7) = 8 * 5 = 40. So, you have 40 sweets left from giving 2/7 away to Adam.

If you eat 3/8 of the 40 sweets, you will have 5/8 of the 40 left. 40 * (5/8) = 5 * 5 = 25. You will have 25 sweets left; yum!

Hope this helps!

Answer:

19 sweets left

Step-by-step explanation:

Add the fractional amount of how many you gave to Adam and the fractional amount of how many you ate.

2/7 + 3/8

16/56 + 21/56

37/56

You used/gave 37 sweets out of 56.

56 - 37 = 19

Answer:

x = 1 1/4

Step-by-step explanation:

sqrt( 7x+2) = sqrt(3x+7)

Square each side

(sqrt( 7x+2))^2 = (sqrt(3x+7))^2

7x+2 = 3x+7

Subtract 3x from each side

7x-3x +2 = 3x+7-3x

4x+2 = 7

Subtract 2 from each side

4x+2-2 = 7-2

4x = 5

Divide by 4

4x/4 = 5/4

x = 1 1/4

Check for extraneous solution

sqrt( 7*5/4+2) = sqrt(3*5/4+7)

sqrt( 35/4 + 8/4) = sqrt(15/4+28/4)

sqrt( 43/4) = sqrt(43/4)

Solution is valid

Answer:

0.6 - 1/4

Convert the decimal to fraction

Thus

0.6 = 3/4

3/5 - 1/4

Find the LCM

the LCM is 20

We get

3/5 - 1/4 = (3(4) - 5)/ 20

= 12-5/20

= 7/20

2/5 + 0.75

0.75 = 3/4

Find the LCM

The LCM is 20

Thus

3/4 +2/5 = ( 3(5) + 2(4))/20

= 15 + 8 /20

= 23 / 20 or 1 3/20

1.75 - 1/6

Convert the decimal to fraction

1.75 = 7/4

Thus we get

7/4 - 1/6

Find the LCM

The LCM is 12

Thus

7/4 - 1/6 = ( 7(3) - 2)/12

= 21 - 2 / 12

= 19/ 12 or 1 7/12

3/10 + 2.125

Convert the decimal to fraction

2.125 = 17/8

Thus

3/10 + 17/8

Find the LCM

the LCM is 40

Thus

3/10 + 17/8 = ( 3(4) + 17(5))/40

= 12 + 85/40

= 97 /40 or 2 17/40

Hope this helps

Answer:

1.15

19/12

2.425

Step-by-step explanation:

2/5+0.75

2/5=4/10

4/10=0.4

0.75+0.4

1.15

1.75-1/6

1.75=7/4

7/4=14/8=21/12

21/12-2/12

19/12, or 1.5833...

3/10=0.3

0.3+2.125=2.425

Answer:

so the height of apple tree in meters is 3 meters

Step-by-step explanation:

by using ratio and proportion rule

1:2=148:x

[tex]\frac{1}{2}=\frac{148}{x}[/tex]

by cross multiplication

1×x=2×148

1x=296cm

converting into meter as we know that 1centi=10^-2

1x=296×10^-2

x=2.96m≈3meters

i hope this will help you :)

Answer:

Step-by-step explanation:

hello

a) Pop as this is the one with the most CDs

b) 30 as this is a full one 20 + half 10 = 30

c) POP  5*20= 100

Jazz 2*20=40

Classical 1.5*20=30

Rock 3*20=60

so the total is 100+40+30+60 = 230

hope this helps

Answer:

a) The Pop CD is the mode (as it has higest sold )

b) no. of rock CDs sold = 20 × 3 = 60

  no. of classical CDs sold = 20+ 10 = 30

∴The no of Rock CDS more than Classical CDs = 60 - 30 = 30

c)  Pop CDs = 20 × 5 = 100

   JazzCDs = 20 ×2 = 40

   Classical CDs = 20 + 10 = 30

   Rock CDs = 20 × 3 = 60

∴ Total no.of CDs sold =  100 + 40 + 30 + 60 = 230

Answer:

IT IS A..

Step-by-step explanation:

100 % sure

Answer:

C. -n - 2

Step-by-step explanation:

Since there are no parenthesis for 3n + 2, you only distribute the 2 to (-2n - 1):

3n - 4n - 2

-n - 2

Answer:

C. -n - 2

Step-by-step explanation:

3n + 2(-2n - 1)

Expand the brackets.

3n + - 4n - 2

Add like terms.

- 1n - 2

-n - 2

Answer:

1/2

Step-by-step explanation:

If the locker has 3 non zero digits, this means the digits will take values from 1 to 9. If the first digits is 3, the remaining digits can take any of the values in the set {1, 2, 4, 5, 6 7, 8, 9}

Total elements in the set = 8

Total odd numbers there = {1, 5, 7, 9} = 4 odd numbers

If the next digit is odd, probability that the next digit is odd will be Total odd numbers/Total elements in the set = 4/8 = 1/2

Answer:

A

Step-by-step explanation:

The quadrants are numbered from top right in a counter clockwise fashion. Since we know x is positive and y is negative, we can find that it is the fourth quadrant.

Answer:

A = about 2.2 seconds

B = between 0.2 and 1.7 seconds

Step-by-step explanation:

A .to calculate the time in the air, we have to replache h=0.

h = - 16t + 30t +10

0 = - 16t + 30t +10

For: ax2+ bx + c

x =[ -b ± √b²-4ac] /2a

a=-16 ; b=30 ; c=10

Replacing with the values given:

x =[ -30 ± √(30)²-4(-16)10] /2(-16)

x = [ -30 ± √900 +640] /-32

x = [ -30 ± √1,540] /-32

x = [-30 ± 39.24] /-32

Negative:

x = [-30 -39.24] /-32 = 2.16 seconds = about 2.2 seconds

B. .to calculate this, we have to replache h=15.

15 = - 16t + 30t +10

0 = - 16t + 30t +10-15

0=  - 16t + 30t -5

a=-16 ; b=30 ; c=-5

Applying the quadratic formula again:

x =[ -30 ± √(30)²-4(-16)-5] /2(-16)

x = [ -30 ± √900-320] /-32

x = [ -30 ± √580] /-32

x = [-30 ± 24.08] /-32

Positive:

x = [-30 +24.08] /-32 = 0.18 seconds =0.2 seconds

Negative:

x = [-30 -24.08] /-32 = 1.7seconds

Feel free to ask for more if needed or if you did not understand something.

Answer:6z

Step-by-step explanation:

Question:

(4x - 5y + 3z) + (-4x +5y +3z)

First Step:

Remove parenthesis

4x - 5y + 3z + -4x +5y +3z

Second Step:

Add like terms

4x + -4x = 0

-5y + 5y = 0

3z + 3z = 6z

Final Answer

6z

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Answer:

6z

Step-by-step explanation:

(4x - 5y + 3z) + (-4x +5y +3z)

Combine like terms

4x - 4x   -5y +5y  +3z+3z

0+0+6z

6z

Answer:

22 hours

Step-by-step explanation:

Ken saves 90% of his earnings.

So, he must earn

270/x =90/100

90x=270*100

90x=27,000

x=27000/90

=300

x=$300 to save $270

For starting 10hours, Ken earns $8 per hour so he earns total

$8*10 hours=$80

Now, Ken has to earn remaining

$220 at a rate of $10/hour, he must work for at least

$220/$10

=22hours

Answer:

n^2(n + 3)

Step-by-step explanation:

n^3 + 3n^2 factors as follows:  n^2(n + 3).  Note that this is an expression, not an equation.

Answer:

50 in.

Step-by-step explanation:

Real building:

height 300 ft

width 200 ft

Model building:

height 6 in.

width 50 in.

300/6=50

Hope this helps! :) :)

The scale model of building is 4 inches wide.

The height of a building is 300 feet
its width is 200 feet
A scale model of the building is 6 inches high

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

let scale model of the building is "x" inches wide.
= 300/6 = 200/x
x = 4

Thus, The scale model of building is 4 inches wide.

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Answer:

[tex] = 6911.5 {cm}^{3} \\ [/tex]

Step-by-step explanation:

[tex]v = \pi {r}^{2} h \\ = \pi \times {10}^{2} \times 22 \\ = 6911.5 {cm}^{3} [/tex]

hope this helps you.

Answer:

(-8, -2)

Step-by-step explanation:

Combine these equations:  You'll get 2y = -4, so that y = -2.

Substituting -2 for y in the second equation, you'll get -2 + x = -10, or x = -8

Thus the solution is (-8, -2)