Kenji earned the test scores below in English class.

79, 91, 93, 85, 86, and 88

What are the mean and median of his test scores?
A. Mean: 79; Median: 93
B. Mean: 87; Median: 93
C. Mean: 87; Median: 87
D. Mean: 93; Median: 87

Answer:

1860

Step-by-step explanation:

First, we need to get to 0.

1240 above sea level.  The distance to 0 is 1240.

Next, below sea level.  The distance to 0 is 620.

So, add 1240 + 620 to find the distance between the 2 numbers.

1860

Hope this helps!!!

Answer:

Hey there!

50-43+(6x8)-9+3

50-43+48-9+3

7+48-9+3

46+3

49

Let me know if this helps :)

Answer:

= 49

Step-by-step explanation:

  50-43+(6x8)-9+3

=  50 - 43 + (48) - 9 + 3

=  (50 + 48 + 3) + (-43 - 9)

= 101 - 52

= 49

Answer:

The complete sequence is: 1, 8, 29, 92, 281.

Step-by-step explanation:

The series to be completed is:

1, _, _, _, _

The information provided is:

Then the nth term can be determined using the expression:

[tex]a_{n}=3a_{n-1}+5[/tex]

Compute the 2nd, 3rd, 4th and 5th term as follows:

[tex]a_{2}=3a_{2-1}+5 = 3a_{1}+5=(3\times 1)+5=8\\\\a_{3}=3a_{3-1}+5 = 3a_{2}+5=(3\times 8)+5=29\\\\a_{4}=3a_{4-1}+5 = 3a_{3}+5=(3\times 29)+5=92\\\\a_{5}=3a_{5-1}+5 = 3a_{4}+5=(3\times 92)+5=281[/tex]

Thus, the complete sequence is:

1, 8, 29, 92, 281.

Answer:

b. -2

Step-by-step explanation:

[tex]y =-x-2[/tex]

Let x equal 0

[tex]y = -(0) -2\\y =-0-2\\y =-2[/tex]

Answer:

B

Step-by-step explanation:

So we have the equation:

[tex]y=-x-2[/tex]

This is in the slope-intercept form, where:

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

m is the slope and b is the y-intercept.

From the given equation, m is -1 and b is -2.

Therefore, the y-intercept is -2.

Our answer is B

Answer:

My answer to the question is 9×n=9n.

Answer:

V = Vab from the drawing.

So if V = –10 volts, then Vab = –10v and Vba = +10v

"the figure is the same in the link below except that the voltage is from a to b" but the drawing shows that V = Vab

Hoped I helped

Answer: -7.2

Step-by-step explanation:

The vertex form of quadratic equation :[tex]f (x) = m(x - a)^2 + b,[/tex] where (a,b) is the vertex.

Given: The quadratic function g(x) has a vertex at  (-5, 0).

Put (a,b)= (-5,0) for function g(x), we get

[tex]g(x)=m(x-(-5))^2+0\\\\\Rightarrow\ g(x)=m(x+5)^2[/tex]

Also, its  y-intercept is (0, -5).

Put x= 0 and g(x) =-5

[tex]-5=m(0+5)^2\\\\\Rightarrow\ -5=m(25)\\\\\Rightarrow\ m=\dfrac{-5}{25}\\\\\Rightarrow\ m=\dfrac{-1}{5}[/tex]

so, [tex]g(x)=-\dfrac{1}{5}(x+5)^2[/tex]

For g(1), put x=1

[tex]g(1)=-\dfrac{1}{5}(1+5)^2\\\\=-\dfrac{1}{5}(6)^2=-\dfrac{1}{5}(36)\\\\=-7.2[/tex]

Hence, g(1) is -7.2.

Answer: a = -6

Step-by-step explanation:

Answer:

   55 and 71

Step-by-step explanation:

Let s represent the smaller part.

  s +(s +16) = 126

  2s = 110

  s = 55

  s+16 = 71

The two parts are 55 and 71.

_____

After you work a few of these, you recognize that the two numbers will be ...

  [tex]\dfrac{126}{2}\pm\dfrac{16}{2}\quad\text{half the sum plus or minus half the difference}[/tex]

Answer:

Yes

Step-by-step explanation:

If you put all of those points on a graph you get a slope of 4 and a perfectly straight line.

Answer:

The answer is Yes, because the price is 4 times the number of cupcakes because 3 × 4 = $12, 4 × 4 = $16.

Step-by-step explanation:

Answer:

30.1 Metres

Step-by-step explanation:

For this problem, we will use the law of sines twice to find the height of the tree.

First, you need to draw the image of the tree with two triangles, one with an angle of 34 degrees, and the second with an angle of 41 degrees, both being a right triangle toward the tree.  The distance between point A and point B should be 10 meters.

From here, your bottom line of the triangle should be represented as 10 + x for the unknown distance from where Sophie stood to the tree.  The x represents the distance from point B to the tree, whereas 10 + x represents the distance from point A to the tree.

Now, let's use the scalene triangle created by the distance between point A and point B to the top of the tree, to calculate the diagonal distance from point B to the top of the tree.

Using this scalene, we have the angles, 34, 7, and 139.  Now, use the law of sines to find the diagonal of point B to the top of the tree represented by r.

sin(7) / 10 == sin (34) / r

r == 10 * sin (34) / sin(7)

r == 10 * .55919 / .12187

r == 45.88

Now that we know this diagonal distance, we can use the law of sines again with the second triangle, 41, 49, 90, to find the height of the tree represented by y.

sin(41) / y == sin(90) / 45.88

y == 45.88 * sin(41) / sin(90)

y == 45.88 * .65606 / 1

y == 30.1

So the height of the tree to the nearest tenth of a metre would be 30.1 metres.

Cheers.

Answer:

Step-by-step explanation:

tan(34°)≈0.6745         tg(41°)≈0.8693

[tex]\tan(34^o)=\dfrac h{x+10}\\\\\tan(34^o)(x+10)=h\\\\x+10=\dfrac h{\tan(34^o)}\\\\x=\dfrac h{\tan(34^o)}-10[/tex]                               [tex]\tan(41^o)=\dfrac hx\\\\x\tan(41^o)=h\\\\x=\dfrac h{\tan(41^o)}[/tex]

[tex]\dfrac h{\tan(34^o)}-10=\dfrac h{\tan(41^o)}\\\\ h\tan(41^o)-10\tan(34^o)\tan(41^o)=h\tan(34^o) \\\\ h\tan(41^o)-h\tan(34^o)=10\tan(34^o)\tan(41^o) \\\\ h[\tan(41^o)-\tan(34^o)]=10\tan(34^o)\tan(41^o)\\\\h=\dfrac{10\tan(34^o)\tan(41^o)}{\tan(41^o)-\tan(34^o)}\\\\\\h\approx \dfrac{10\cdot0.6745\cdot0.8693}{0.8693-0.6745}=\dfrac{5.8634285}{0.1948}\approx30.1\ m[/tex]

Answer:

[tex] \frac{9}{7} \: or \: 1.28[/tex]

Step-by-step explanation:

[tex] \frac{9}{m + 4} = \frac{9}{3 + 4} = \frac{9}{7} \: or \: 1.28[/tex]

Answer:

  see below

Step-by-step explanation:

For a vertical scale factor of 'b', and a translation by (h, k) in the (right, up) direction, the transformed function is ...

  g(x) = b·f(x -h) +k

For a scale factor of 1/2 and translation left 3 and down 2, the transformed function is ...

  g(x) = (1/2)f(x +3) -2

  g(x) = (1/2)5^(x +3) =2 . . . . matches the 2nd choice

Answer:

F=C+32.

128=C+32.

C=128-32.

96°C

Answer:

see explanation

Step-by-step explanation:

Given A = 3x² + 2y + 2 and B = 6x² - 8y + 1 , then

A + B

= 3x² + 2y + 2 + 6x² - 8y + 1 ← collect like terms

= 9x² - 6y + 3

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

A - B

= 3x² + 2y + 2 - (6x² - 8y + 1) ← distribute parenthesis by - 1

= 3x² + 2y + 2 - 6x² + 8y - 1 ← collect like terms

= - 3x² + 10y + 1

Answer:

0.505 in fraction is 101/200.

it can't be divided into simplest form

Answer:

An equilateral triangle is a triangle in which all three sides are equal. An equilateral triangle is also equiangular, in which all three internal angles are also congruent to each other and are each 60°.

Parallelogram and rhombus possibly.

Trapezoid.

Answer:

Part a)

Three equal sides

Three equal angles

Part b)

1) Rhombus

2) Parallelogram

[Both have 2 pairs of parallel sides and thus have their opposite angles equal]

Part c)

Trapezoid [Have exactly 1 pair of parallel sides]

Answer:

x = 0

Step-by-step explanation:

3(7x − 12) + 26 = 3x − 10

Distribute

21x - 36 +26 = 3x-10

21x -10 = 3x-10

Add 10 to each side

21x = 3x

Subtract 3x from each side

21x-3x = 0

18x =0

x =0

Answer: 75 minutes.

Step-by-step explanation:

Given that the line a bus arrives at the bus stop every 25 minuetes, and the line B busarrived every 15 minuetes both are at the bus stop right now.

In how many minutes will both be at the bus stop again?

We can achieve that by finding the LCM of 25 and 15

The LCM of both will be 3, 5 and 5

That is, 3 × 5 × 5 = 75 minute.

Therefore, both will be at the bus stop again in the next 75 minutes or 1 hour 15 minutes.

Answer:

The difference in unit price is $0.01/ounce

Step-by-step explanation:

A 16 -ounce bottle of Spring Water = $1.76

A 20 -ounce bottle of Fresh Water = $2.40

For the spring water, the unit price = 1.76/16 = $0.11/ounce

For the fresh water, the unit price = 2.4/20 $0.12/ounce

The difference in unit price is $0.01/ounce

Answer:

See below!

Step-by-step explanation:

1. 5g + h = g

4g = -h

g = [tex]-\frac{h}{4}[/tex]

2. y = mx + b

y - b = mx

m = [tex]\frac{y - b}{x}[/tex]

3. 3y + z = am - 4y

7y = am - z

y = [tex]\frac{am - z}{7}[/tex]

4. km + 5x = 6y

km = 6y - 5x

m = [tex]\frac{6y - 5x}{k}[/tex]

5. [tex]\frac{3ax - n}{5} = -4[/tex]

3ax - n = -20

3ax = n - 20

x = [tex]\frac{n-20}{3a}[/tex]

6. [tex]\frac{by+2}{3}= c[/tex]

by + 2 = 3c

by = 3c - 2

y = [tex]\frac{3c-2}{b}[/tex]

7. at + b = ar - c

at - ar = -b - c

a(t - r) = -(b + c)

a = [tex]-\frac{b+c}{t-r}[/tex]

Answer:

two

Step-by-step explanation:

A ratio compares the relative sizes of two quantities .​

Answer:2

Step-by-step explanation:

Answer:

1) natural number or whole number

2) rational number

3) irrational number

4) integer

5) associative property under with respect to multiplication over addition

6) left distributive property with respect to multiplication over subtraction

7) communitative property under addition

8) right distributive property with respect to multiplication over addition

9) +7

10) -4/9

11) -3.8

12) root -5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) rational number

2) 5/4 = 1.25  rational number

3) √11  irrational number

4) - 12  rational number

5) (6*8) *5 = 6*(8*5)  Associative property of multiplication

6)  7*(9-5) = 7*9 - 7*5   Distributive property upon subtraction

7)  84 + 16 = 16 +84  Commutative property of  addition

8) (12 +5) *6 = 12*6 + 5*6 Distributive property upon addition

     Given number      additive inverse      multiplicative inverse

9)       - 7                            +7                            [tex]\frac{-1}{7}[/tex]

10)     [tex]\frac{4}{9}[/tex]                               [tex]-\frac{4}{9}[/tex]                           [tex]\frac{9}{4}[/tex]

11)  3.8                               -3.8                        [tex]\frac{1}{3.8}[/tex]

12) √5                               -√5                         [tex]\frac{1}{\sqrt{5} }[/tex]

Hint:

To find additive inverse, just reverse it's sign

a  additive inverse is -a

-a  additive inverse  is  a

Multiplicative inverse of a number 'x' is 1/x

Multiplicative inverse of a fraction a/b is b/a

Answer:

The two possible distances from Ship A to the distress call boat are 64.4 km and 147.5 km

Step-by-step explanation:

The given parameters are;

The distance between Ship A and Ship B = 120 km

The distance of the distress call from Ship B = 70 km

The angle made between the line from Ship A to B and the line from Ship A to the distress call = 28° = Opposite angle to the line from the location of the distress caller to Ship B

Therefore;

70/(sin(28°)) = 120/(sin(x))

Where;

x = The angle opposite the line from Ship A to B

sin(x) = ((sin(28°))×120)/70 = 0.805

x = sin⁻¹(0.805) = 53.59°

Therefore, the angle opposite the line from Ship A to the distress caller, r = 180 - (28 + 53.59) = 98.4°

From sin rule, we have;

70/(sin(28°)) = r/(sin(98.4°))

r = (70/(sin(28°)))×(sin(98.4°)) = 147.5

However by cosine rule, we have;

70² = 120² + r² - 2×120×r × cos(28°)

4,900 = 14,400 + r² - 211.907·r

r² - 211.907·r + 14,400 - 4,900 = 0

r² - 211.907·r + 9,500 = 0

Factorizing, we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

[tex]r = \dfrac{211.907\pm \sqrt{211.907^{2}-4\times 1\times 9,500}}{2\times 1}[/tex]

r = 64.406 km or 147.501 km

Which gives;

The distance of the line from Ship A to the distress caller =  64.4 km or 147.5 km to the nearest tenth.

The two possible distances from Ship A to the distress call boat = 64.4 km and 147.5 km

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

So we have the equation:

[tex]6x+2=9x-1[/tex]

Subtract 6x from both sides:

[tex](6x+2)-6x=(9x-1)-6x\\2=3x-1[/tex]

Add 1 to both sides:

[tex](2)+1=(3x-1)+1\\3=3x[/tex]

Divide both sides by 3:

[tex](3)/3=(3x)/3\\x=1[/tex]

So, the value of x is 1 :)

P.S. Welcome to Brainly!

Answer:

Range { 3,7,11,15}

Step-by-step explanation:

The range is the output or y values

Range { 3,7,11,15}

Answer: The average number of cases per bid is 599.

Step-by-step explanation:

Given: One week she put together bids for 680 cases, 507 cases, 830 cases, 391 cases, and 587 cases.

Total cases = 680 +  507 + 830 + 391+587

= 2995

Number of bids = 5

Now, average number of cases per bid = [tex]\dfrac{\text{Total cases }}{\text{Number of bids}}[/tex]

[tex]=\dfrac{2995}{5}\\\\=599[/tex]

Hence, the average number of cases per bid is 599.

Answer:

Step-by-step explanation:

y=x+3² if this is the equation then it is all real numbers