their sum is -11 and the difference is 41

Answer:

a = 3/4.

Step-by-step explanation:

2a/3 - 1/6 = 1/3

Multiply thru by the LCD 6:

4a - 1 = 2

4a = 3

a = 3/4.

Step-by-step explanation:

A 106 offered history to students

Answer: The sample space S for a probability model is the set of all possible outcomes. For example, suppose there are 5 marbles in a bowl. One is red, one is blue, one is yellow, one is green, and one is purple.

Step-by-step explanation: Hope this helped :)

Answer:

C. make purchases

Step-by-step explanation:

took the test

Answer:

[tex]45\:\mathrm{in}[/tex]

Step-by-step explanation:

The volume of a square pyramid is given by [tex]V=\frac{1}{3}\cdot s^2\cdot h[/tex]. Substituting given values, we have:

[tex]3,840=\frac{1}{3}\cdot 16^2\cdot h,\\h=\frac{3,840\cdot 3}{256}=\boxed{45}[/tex]

Answer:

30 in.

Step-by-step explanation:

[tex]h=3\frac{V}{a^{2} }[/tex]

[tex]h=3\frac{3840}{16^{2} }[/tex]

45.12

That is not an option, so go with the closest one 30 in.

Answer:

A = $45948

Step-by-step explanation:

Given the following data;

Principal = $8000

Interest rate = 6% = 6/100 = 0.06

Time = 30 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 8000(1 + \frac{6}{100})^{30}[/tex]

[tex] A = 8000(1 + 0.06)^{30}[/tex]

[tex] A = 8000(1.06)^{30}[/tex]

[tex] A = 8000(5.7435)[/tex]

A = $45948

Answer:

y = 11 + 5

Step-by-step explanation:

So she is 5 years younger, which would mean that it would be y - 5, and using inverse operations, we get y = 11 + 5

hope this helps:/

Answer:

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3)  = 2/15

P(4) = 1/15

The expected value for X is:

EV = 1.33...

Step-by-step explanation:

We have a total of 6 marbles in the jar.

The probability of getting a red marble in the first try  (X = 0) is equal to the quotient between the number of red marbles and the total number of marbles, this is:

P(0) = 2/6 = 1/3

The probability of drawing one green marble (X = 1)

is:

First, you draw a green marble with a probability of 4/6

Then you draw the red one, but now there are 5 marbles in the jar (2 red ones and 3 green ones), then the probability is 2/5

The joint probability is:

P(1) = (4/6)*(2/5) = (2/3)*(2/5) = 4/15

The probability of drawing two green marbles (X  = 2)

Again, first we draw a green marble with a probability of 4/6

Now we draw again a green marble, now there are 3 green marbles and 5 total marbles in the jar, so this time the probability is 3/5

Now we draw the red marble (there are 2 red marbles and 4 total marbles in the jar), with a probability of 2/4

The joint probability is:

P(2) = (4/6)*(3/5)*(2/4) = (2/6)*(3/5) = 1/5

The probability of drawing 3 green marbles (X = 3)

At this point you may already understand the pattern:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

finally, we draw a red marble with a probability 2/3

The joint probability is:

P(3) = (4/6)*(3/5)*(2/4)*(2/3) = (2/6)*(3/5)*(2/3) = (1/5)*(2/3) = (2/15)

Finally, the probability of drawing four green marbles (X = 4) is given by:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

fourth, we draw a green marble with a probability 1/3

Finally, we draw a red marble with a probability 2/2 = 1

The joint probability is:

P(4) = (4/6)*(3/5)*(2/4)*(1/3)*1 = (1/5)*(1/3) = 1/15

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3)  = 2/15

P(4) = 1/15

The expected value will be:

EV = 0*P(0) + 1*P(1) + 2*P(2) + 3*P(3) + 4*P(4)

EV = 1*(4/15) + 2*( 1/5) + 3*( 2/15) + 4*(1/15 ) = 1.33

So we can expect to draw 1.33 green marbles in this experiment.

Answer:

Area = 17.5yd

Step-by-step explanation:

Area formula is Area = h * b/2

Area = 5 * 7/2

Area = 17.5

Answer:

is this area or volume? if it's Area 1/2 b*h

Answer:

D, 225

Step-by-step explanation:

Because this equation already has a1, it's useless to test with that, so instead solve for a2.

You would have a2 - 5a1, which would get you a2 = 5(9) because we already know what a1 is, which is 9. a2 = 45

Now we have a2, which is 45, so now we solve for a3

We would have a3 = 5a2 = a3 = 5(45) which is 225 which is a3

Also thanks for the fat 18 points dude, you really put 36 points into this one big value hope this one helped you a lot

Answer:

See below.

Step-by-step explanation:

These work just like ordinary algebraic expresssions, except you have to remember always:  i^2 = -1    i squared is negative one!

(4 - 3i)(4 + 3i)   "FOIL" the expression to get 16 - 3i + 3i - 9i^2.  But i^2 = -1, so this is the same as 16 - 3i + 3i + 9.  Combine like terms.

Ans. 25

(4 - 3i)(i)  Distribute the i to the two terms of the binomial.

4i - 3i^2 = 4i - 3(-1)

Ans. 4i + 3

(6i)(4 + 3i) = (6i)(4) + (6i)(3i) = 24i + 18i^2 = 24i + 18(-1)

Ans. 24i -18

(6i)(i) = 6i^2 = 6(-1)

Ans. -6

(-5)(4 + 3i) = -20 - 15i   That's it; there's no i^2 to deal with.

Ans. -20 - 15i

(-5)(i)   = -5i  Again, that's all there is to it.

Ans. -5i

Answer:

I think is B

Step-by-step explanation:

Answer:

u mad bruv? xD  Xd DxD XDXDXDdd

Step-by-step explanation:

Answer:

52.9

??

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

6+4×10=6+40

6+40=46

Answer:

The formula for the area of the base of a cylinder is π r²

Answer:

[tex] \displaystyle x = \frac{3}{4} [/tex]

Step-by-step explanation:

we are given that

[tex] \displaystyle P = \left(x, - \frac{ \sqrt{7} }{4} \right)[/tex]

we want to figure out x

remember that,

In unit circle x coordinate is considered cos and y coordinate is considered sin

so in order to figure out x we should figure out the value of cos to do we can consider Pythagoras trig indentity

given by

[tex] \displaystyle \sin ^{2} ( \theta) + { \cos}^{2} ( \theta) = 1[/tex]

we are given sin=-√7/4 thus

substitute:

[tex] \displaystyle \left( - \frac{ \sqrt{7} }{4} \right) ^{2} + { \cos}^{2} ( \theta) = 1[/tex]

simplify square:

[tex] \displaystyle \frac{7}{16} + \cos ^{2} ( \theta) = 1[/tex]

move left hand side expression to right hand side and change its sign:

[tex] \displaystyle \cos ^{2} ( \theta) = 1 - \frac{7}{16} [/tex]

simplify Substraction:

[tex] \displaystyle \cos ^{2} ( \theta) = \frac{9}{16} [/tex]

square root both sides:

[tex] \displaystyle \cos ^{} ( \theta) = \pm\frac{3}{4} [/tex]

since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable

hence,

[tex] \displaystyle x = \frac{3}{4}[/tex]

Answer:

I believe the answer is B) All real numbers

Answer:

A) 67.4 m

Step-by-step explanation:

Let "x" represent how many meters above the lake is the man

Reference angle = 32°

Opposite = x

Hypotenuse = 129.5 m

Apply ye trigonometric function SOH:

Sin 32° = Opp/Hyp

Son 32 = x/129.5

129.5 × sin 32° = x

x = 68.6245447

This is close to A) 67.4 m

Answer:

[tex]-9\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]-5\frac{3}{4}-3\frac{1}{2}[/tex]

Step 1: Factor out the common term [tex]-1[/tex]

[tex]=-\left(5\frac{3}{4}+3\frac{1}{2}\right)[/tex]

Step 2: Add the whole numbers

[tex]5 + 3 = 8[/tex]

Step 3: Combine the fractions:

[tex]\frac{3}{4}+\frac{1}{2} = \frac{5}{4}\\\\=-\left(8+\frac{5}{4}\right)[/tex]

Step 4: Convert the improper fractions to mixed numbers

[tex]\frac{5}{4} = 1\frac{1}{4}\\\\=-\left(8+1\frac{1}{4}\right)[/tex]

Step 5: Add the numbers

[tex]8 + 1 =9 \\\\=-9\frac{1}{4}[/tex]

Therefore, the answer to the equation is [tex]-9\frac{1}{4}[/tex] in fraction, and decimal; [tex]9.25[/tex]

Answer: [tex]3x^{-2.5}[/tex]

Step-by-step explanation:

Given

Expression is

[tex]\dfrac{12\sqrt{x}}{4x^3}[/tex]

Using exponent property [tex]x^a\cdot x^b=x^{a+b}[/tex]

Writing expression in the form of [tex]k\cdot x^n[/tex]

[tex]\Rightarrow \dfrac{12\sqrt{x}}{4x^3}=\dfrac{3\times 4}{4}\times \dfrac{x^{0.5}}{x^3}\\\\\Rightarrow \dfrac{3\times 4}{4}\times x^{0.5-3}\\\\\Rightarrow 3x^{-2.5}[/tex]

Answer:

Explanation:

hope it will helps please heart my answer!

Answer:

1500g:250g

=

6:1

Hope I could help

Answer:

-9 + 4i

Step-by-step explanation:

The additive inverse ("opposite") of a complex number a + bi  is  -a - bi.

Just use the opposites of  a  and  b.