All categories

3 years ago

84=4v what is v

Mathematics

2 answers:

Maksim231197 [3]3 years ago

7 0

21 is the correct answer

Goshia [24]3 years ago

5 0

Step-by-step explanation:

84=4v

4v=84

v=84/4

v=21

You might be interested in

A high school band asked a number of students whether they would like blue, gold, or both for the uniforms for the band. The res

Anna35 [415]

Given a Venn diagram showing the number of students that like blue uniform only as 32, the number of students that like gold uniform only as 25, the number of students that like blue and gold uniforms as 12 and the number of students that like neither blue nor gold uniform as 6.

Thus, the total number of students interviewed is 75.

Recall that relative frequency of an event is the outcome of the event divided by the total possible outcome of the experiment.

From the relative frequency table, a represent the relative frequency of the students that like gold but not blue.
From the Venn, diagram, the number of students that like gold uniform only as 25, thus the relative frequency of the students that like gold but not blue is given by
$\frac{25}{75} = \frac{1}{3}=0.33=33\%$

Therefore, a = 33% to the nearest percent.

Similarly, from the relative frequency table, b represent the relative frequency of the students that like blue but not gold.
From the Venn, diagram, the number of students that like blue uniform only as 32, thus the relative frequency of the students that like gold but not blue is given by
$\frac{32}{75} = 0.427=42.7\%$

Therefore, b = 43% to the nearest percent.

7 0

3 years ago

James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposited $500 into the a

zhuklara [117]

Answer:

$275

Step-by-step explanation:

This is what I got:

You first convert 2.75% into 0.0275

You then multiply 500 x 0.0275 = 13.75

Finally you multiply 13.75 x 20 = 275

so the answer should be 275

5 0

3 years ago

Xavier has $23.50 in his savings account. He deposits $35 every week. His mother also deposits $20 into the account every time

maria [59]

Answer:

Part A: a coefficient is either 20 or 35, both work. A variable is c or w, again either work. The constant is 23.50.

Part B: He will have $503.50

Part C: The coefficient would change, because the amount per car changes, not the amount of cars.

Step-by-step explanation:

A coefficient goes in front of the variable (which is the letter, usually shown as x). The constant is a number with no variable attached.

We replace c with 20, and w with 12, giving us 20(3)+35(12)+23.50 for our equation. After multiplying, we come up with 60+420+23.50, which equals 503.50.

8 0

3 years ago

Henry is conducting an experiment with 800 bacteria. He found the exponential growth rate to be 2.7% per hour. What is the amoun

joja [24]

Let's formulate an equation first. For exponential growth, we follow the formula. b = 800, r - 0.027. Hence,

y = 800(1+0.027)^t

Then, at t = 21, y will be determined
y = 800 (1+0.027)^21
y = 1399.81 = 1400

Thus, the amount of bacteria present after 21 hours is 1400.

8 0

4 years ago

Let alpha and beta be conjugate complex numbers such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}

miskamm [114]

Answer:

$-3+i\sqrt{3} , 1+\sqrt{3}$

Step-by-step explanation:

Given that alpha and beta be conjugate complex numbers

such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}.

Let

$\alpha = x+iy\\\beta = x-iy$

since they are conjugates

$\alpha-\beta = x+iy-(x-iy)\\= 2iy= 2i\sqrt{3} \\y =\sqrt{3}$

$\frac{\alpha}{\beta^2} }\\=\frac{x+i\sqrt{3} }{(x-i\sqrt{3})^2} \\=\frac{x+i\sqrt{3}}{x^2-3-2i\sqrt{3}} \\=\frac{x+i\sqrt{3}((x^2-3+2i\sqrt{3}) }{(x^2-3-2i\sqrt{3)}(x^2-3-2i\sqrt{3})}$

Imaginary part of the above =0

i.e. $\sqrt{3} (x^2-3)+2x\sqrt{3} =0\\x^2+2x-3=0\\(x+3)(x-1) =0\\x=-3,1$

So the value of alpha = $-3+i\sqrt{3} , 1+\sqrt{3}$

3 0

3 years ago