A local drive bought 352 books that will be divided equally among 8 schools. How many books will each school get? Help please

Step-by-step explanation:

Given:

[tex]\vec{a} = 5\hat{\textbf{i}} + 4\hat{\textbf{j}}[/tex]

[tex]\vec{b} = 5\hat{\textbf{i}} - 5\hat{\textbf{j}}[/tex]

Then

[tex]2\vec{a} = 2(5\hat{\textbf{i}} + 4\hat{\textbf{j}})[/tex]

[tex]\:\:\:\:\:\:= 10\hat{\textbf{i}} + 8\hat{\textbf{j}}[/tex]

[tex]3\vec{b} = 3(5\hat{\textbf{i}} - 5\hat{\textbf{j}})[/tex]

[tex]\:\:\:\:\:\:= 15\hat{\textbf{i}} - 15\hat{\textbf{j}}[/tex]

Therefore,

[tex]2\vec{a} - 3\vec{b} = (10 - 15)\hat{\textbf{i}} + (8 - (-15))\hat{\textbf{j}}[/tex]

[tex]= -5\hat{\textbf{i}} + 23\hat{\textbf{j}}[/tex]

To find the magnitude,

[tex]|2\vec{a} - 3\vec{b}| = \sqrt{(-5)^2 + (23)^2}= 23.54[/tex]

Answer:

I hope option D is write

I hope you help

Answer:

B. 32°

Step-by-step explanation:

The reference angle for 212°

=212°-180°

=32°

Hope it is helpful to you

Answer: You left out half the question so

Step-by-step explanation:

if you're looking for chance of x houses having a tv, then .6^x is your formula,

if you're looking for chance of x houses not having a tv, then .4^x will find it

Both formulas only apply if you're looking at specific homes, since your question is incomplete I can only guess at what your answer should be.

Answer:

Step-by-step explanation:

The expression is too close together. Can you space them out?

Answer:

d) -216x^9y^18

Step-by-step explanation:

Answer:

largest 4 digit number × largest 3 digit number

=9999 × 999

(10000-1)×(1000-1) = (a-b)(c-b)= ac-ab-bc+b^2

10000000-10000-1000+1 = 9989001

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

[tex]\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1 [/tex]

Cross multiply ,

[tex]\sf\implies x - 9 =\sqrt{ x +3} [/tex]

Squaring both sides ,

[tex]\sf\implies (x - 9)^2 = x + 3 [/tex]

Simplify the whole square ,

[tex]\sf\implies x^2+9^2-2.9.x = x +3 \\ [/tex]

[tex]\sf\implies x^2+81 - 18x = x -3[/tex]

Add 3 and subtract x on both sides ,

[tex]\sf\implies x^2 -18x-x +81-3=0[/tex]

Simplify ,

[tex]\sf\implies x^2 -19x +78=0 [/tex]

Split the middle term of the quadratic equation,

[tex]\sf\implies x^2-13x-6x+78=0 [/tex]

Take out common ,

[tex]\sf\implies x( x -13)-6(x-13)=0[/tex]

Take out ( x -13 ) as common ,

[tex]\sf\implies ( x -13)(x-6)=0 [/tex]

Equate both factors to 0 ,

[tex]\sf\implies \boxed{\pink{\sf x = 13,6}}[/tex]

Hence the value of x is 13 or 6 .

Answer:

Option D

Answered by GAUTHMATH

Answer:

D.

Step-by-step explanation:

The asymptotes are at x = 1 and x = -4.

The denominator of option D is not defined for x = 1 and x = -4 since those two values cause a zero in the denominator.

Answer: D.

Answer:

i THINK its A. 4(n-3) -6n

Step-by-step explanation:

Have a wonderful day!!

Answer:

Step-by-step explanation:

(6+8i)(3-2i)

use FOIL

18 - 12i + 24i - (16[tex]i^{2}[/tex])

18 + 12i - (-16)

18 + 12i + 16

34 + 12i

Given:

Scale factor of map is:

1 decimeter = 11.5 kilometers

The distance between M and N on the map is 235 decimeters.

To find:

The Actual distance between M and N.

Solution:

Scale factor of map is:

1 decimeter = 11.5 kilometers

Using this scale factor, we get

235 decimeter = 235 × 11.5 kilometers

235 decimeter = 2702.5 kilometers

235 decimeter = [tex]2702\dfrac{1}{2}[/tex] kilometers

Therefore, the points M and N are [tex]2702\dfrac{1}{2}[/tex] kilometers apart.

Answer:

The country's debt is $ 48,543.68 per person.

Step-by-step explanation:

Given that at the end of a year, the gross debt of a country stood at about $ 15 trillion, to determine this amount in dollars per person, assuming that the population of the country is about 309 million, the following calculation must be done:

15 trillion = 15,000,000,000,000

15,000,000,000,000 / 309,000,000 = X

15,000,000 / 309 = X

48,543.68 = X

Therefore, the country's debt is $ 48,543.68 per person.

Answer:

x = ±i(√6 / 2)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Algebra II

Imaginary root i

Step-by-step explanation:

Step 1: Define

Identify

2x² + 3 = 0

Step 2: Solve for x

Answer:

The value is [tex]t = 2.705[/tex].

Step-by-step explanation:

In this question, we have to find the critical value for the t-distribution, with 40 degrees of freedom, and a 99% confidence level.

99% confidence level:

We have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a two-tailed value of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.705.

The value is [tex]t = 2.705[/tex].

Answer:

c. The interquartile range offers a measure of income inequality among California residents.

Step-by-step explanation:

The range is the midspread which measures statistical dispersion. This is also known as H-spread which is equal to the difference between 75th percentile and 25th percentile. In the given scenario the interquartile range offers measure of income inequality among California residents.

Answer:

1/2 Liter was concentrate. 2 1/2 L was water.

Step-by-step explanation:

Let the amount of concentrate = x

5x + x = 3                Combine the left

6x = 3                      Divide by 6

x = 3/6

x = 1/2

Answer:

[tex]x^\frac{2}{3}[/tex]

Step-by-step explanation:

Using the power of power rule (multiply the exponents)

[tex]x^\frac{4}{3}[/tex] × [tex]^\frac{1}{3}[/tex]       [tex]x^\frac{2}{3}[/tex] × [tex]^\frac{1}{3}[/tex]

[tex]x^\frac{4}{9}[/tex]            [tex]x^\frac{2}{9}[/tex]

When exponents are multiplied, add the answers:

x ^ ( 4/9 + 2/9 )

x ^ ( 6/9 )

x ^ ( 2/3 )

Answer:

12 m²

Step-by-step explanation:

Area of the floor:

area = length * width

area = 4 m * 5 m

area = 20 m²

area of carpet = 60% of area of the floor

area of carpet = 0.6 * 20 m²

area of carpet = 12 m²

Answer:

=3/(3+2) × 100

=60

Step-by-step explanation:

=3/(3+2) × 100

=60

Answer:

the domain of f/g consists of numbers x for which g(x) IS NOT EQUAL 0 that are in the domain of both f(x) and g(x)

Step-by-step explanation:

The denominator of a rational function can't be zero (see the first row in the attached table)

The required fill in the blanks is ≠ , f(x) and g(x).

It is required to fill in the blanks.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The domain of f/g consists of numbers x for which g(x) IS NOT EQUAL 0 that are in the domain of both f(x) and g(x).

The domain of (f/g) (x) consists of all x-values that are in the domain of both f and g, where g(x) ≠ 0. Both f and g have domain all real numbers.

Therefore, the required fill in the blanks is ≠ , f(x) and g(x).

Learn more about  function here:

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Answer:

(x-2), (x+2), (3x-5)

Step-by-step explanation:

Factors of 3: ±1, ±3

Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20

Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)

Pick a number to divide the polynomial by (I picked 2)

(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10

So (x-2) is a factor of f(x) = 3x³-5x²-12x+20

Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20

Answer:

[tex]E.G=\$2[/tex]

Step-by-step explanation:

Sample size 52 card

Pay for J or Q [tex]=\$17[/tex]

Pay for King or Ace [tex]=\$5[/tex]

Pay for others [tex]=-\$2[/tex]

Therefore

Probability of drawing J or Q

[tex]P(J&Q)=\frac{8}{52}[/tex]

Probability or drawing King or Ace

[tex]P(K or A)=\frac{8}{52}[/tex]

Probability or drawing Other cards

[tex]P(O)=\frac{36}{52}[/tex]

Therefore

Expected Gain is mathematically given as

[tex]E.G=\sum_xP(x)[/tex]

[tex]E.G=17*\frac{8}{52}+5*\frac{8}{52}+(-2)*\frac{36}{52}[/tex]

[tex]E.G=\$2[/tex]

Answer:

209

Step-by-step explanation:

Given the following:

[tex]a_{1} = 17\\d=6[/tex]

The nth term of an arithmetic sequence is expressed as:

[tex]a +(n-1)d[/tex]

a is the first term = 17

d is the common difference =6

Get the 33rd term:

[tex]n=33\\a_{33}=17+(33-1)*6\\a_{33} =17+32(6)\\a_{33}=17+192\\a_{33}=209[/tex]

Hence the 33rd term is 209

Answer:

$785.17

Step-by-step explanation:

Given data

PV is the loan amount

PMT is the monthly payment

i is the interest rate per month in decimal form (interest rate percentage divided by 12)

n is the number of months (term of the loan in months)

PMT =$700

n = 10 years

i = 0.89%

The formula for the loan amount is

Answer:

B. -1 should be the answer

Step-by-step explanation:

The car will run 60 miles on 2 gallons of gas.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that A car has 2 gallons of gas. The car gets 30 miles/gallon.

The run of the car will be calculated as,

1 gallon = 30 miles

2 gallons = 30 x 2 miles

2 gallons = 60 miles

Therefore, the car will run 60 miles on 2 gallons of gas.

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Answer:

it seems as it is adding .15 every time so the next 3 would be .05 .20 and .65

Answer:

2

y = -0.5x + 10.5

Step-by-step explanation:

put a negative sign and 1 on top of the number next to the x to get the line thats perpendicular

2

y = -0.5x + 10.5

Answer:

9

Step-by-step explanation:

f(3) = 2(3) + 3

= 9

Answer:

[tex]{ \tt{f(x) = 2x + 3}}[/tex]

f(3) means x = 3, substitute for x as 3 :

[tex]{ \tt{f(3) = 2(3) + 3}} \\ = 6 + 3 \\ = 9[/tex]

Answer:

converted to what?

Step-by-step explanation: