Use the fractions to write and evaluate a multiplication expression that represents 70% of 400. Compare the answer to the one you got using the model.

Answer:

Power factor is 0.8517 or 85.17%

Step-by-step explanation:

We are given that in a parallel circuit, [tex]E_{T}=208V[/tex], R=39kΩ and [tex]X_{L}[/tex]=24kΩ.

That means the circuit has a resistor element, inductor element in parallel with 208V applied across the terminal.

Let us find the current through resistor,

[tex]I_{R} =\frac{E_{T}} {R}= \frac{208}{39} =\frac{16}{3}=5.33[/tex] milli amps

And current through inductor,[tex]I_{L} =\frac{E_{T}} {X_{L}} =\frac{208}{24}=\frac{26}{3}=8.667[/tex] milli amps.

Hence total current, [tex]I_{T}= \sqrt{(I_{R})^2+(I_{T})^{2}} =\sqrt{5.33^{2}+8.667^{2}}=10.176[/tex]

Now power factor=[tex]\frac{I_{R}}{I_{T}}=\frac{5.33}{10.176}=0.8517[/tex]

Hence power factor is 85.17% or 0.8517

Since the sum of the probabilities of all possible outcomes must be 100%, we can deduce the following:

In fact, the probabilities of cooking in less than 20 or more than 30 sum up to 15%, which means that the remaining outcome (i.e. cooking time between 20 and 30) must complete this probability to 15, and in fact 15+85=100.

That being said, all three answers are simply a combination of these three scenarios: let C be the cooking time, for aesthetic reasons:

[tex]P(C\geq 20) = P(20 \leq C \leq 30)+P(C\geq30) = 85\%+5\%=90\%[/tex]

[tex]P(20 \leq C \leq 30) = 85\%[/tex]

[tex]P(C\leq 30) = P(C\leq20)+P(20 \leq C \leq 30) = 10\%+85\%=95\%[/tex]

Answer:

St. Louis, Missouri, United States.

Step-by-step explanation:

it is the world's tallest arch, the tallest man-made monument in the Western Hemisphere

Answer:

4 times 2 equals 8

Step-by-step explanation:

step by step think in your stomach.

Kelly has a spinner with 4 equal sections. so the outcome is 4 but she spins it 2 times so the outcome will be 4² = 16.

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

Given

Kelly has a spinner with 4 equal sections. She spins it 2 times.

Kelly has a spinner with 4 equal sections. so the outcome is 4 but she spins it 2 times so the outcome will be 4² = 16.

Let the outcome are (1, 2, 3, 4)

Then all the outcomes are

(1, 1)(1, 2)(1, 3)(1, 4)

(2, 1)(2, 2)(2, 3)(2, 4)

(3, 1)(3, 2)(3, 3)(3, 4)

(4, 1)(4, 2)(4, 3)(4, 4)

So the total outcome is 16.

More about the permutation and combination link is given below.

https://brainly.com/question/11732255

The slope of the line of the equation given is -2 (by solving for y, you get y = -2x+4).

So, in order to be perpendicular, you must take the negative reciprocal.

The slope would be -1/2.

slope = [tex]\frac{1}{2}[/tex]

the equation of a line in \ slope-intercept form ' is

y = mx + c ( m is the slope and c the y-intercept )

2x + y = 4 ( subtract 2x from both sides )

y = - 2x + 4 ← in slope-intercept form

with m = - 2

given a line with slope m then the slope ([tex]m_{2}[/tex])   of a line perpendicular to it is

[tex]m_{2}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

38,576 people live in Carmel.

ok so first we would do the function d(x) = 3(8)+2

which when solved turns out to be 26

we would then do the function h(x) = 2(26) +7

which when solved turns out to be 59

so he would need 59 dollars for the donuts

Answer:

(2-x) or (x-2)

Step-by-step explanation:

Given that area of a square is 4-4x+x^2

We know that area of a square = side x side = side ^2

Hence side of a square = square root of area

To find side let us take square root of 4-4x+x^2

This can be written as 4-4x+x^2 = 2^2 -2(2)(x)+x^2

Recall the identity a^2-2ab+b^2 = (a-b)^2

Here a = 2 and b = x

Hence square root can be either 2-x if x<2 or x-2 if x>2

Answer is 2-x or x-2

The variance of the set is 579

The population standard deviation for this data set is 24

Answer:

579

24

This is correct

Step-by-step explanation:

Answer:

It's hotter at school.

Step-by-step explanation:

The formula is (F - 32) x 5/9 = C

So 90F would be about 31 or 32 Celsius.  I would recommend googling conversions like this in the future it's faster that way.

Answer:

C - 3(2^x).

.

The problem uses the perimeter formula.  P = 2w + 2l   where w is the width, and l is the length.

We know the length (l) is 3 inches longer than it's width (or l = w+3).  Substitute w +3 into Perimeter equation.

P = 2w + 2(w+3).  That simplifies to P = 4w + 6.

Since P + 42,   we have 42 = 4w +6.  

With some simple algebra we find that w = 9 and l = 12.

E and F

note that x² + 8x + 16 is a perfect square which factors as ( x + 4 )², thus

(x + 4 )² = 7 ( take the square root of both sides )

x + 4 = ± √7 ( note plus or minus )

subtract 4 from both sides )

x = ± √7 - 4

x = √7 - 4 → E

x = - √7 - 4 → F

Answer:

E & F

Step-by-step explanation:

i got it right on Apeckxsss

There's seven-eighths of a gallon of chocolate ice cream in the freezer. There's also two-thirds of a gallon of vanilla ice cream.

[tex]\frac{7}{8}[/tex] gallons of chocolate ice-cream

[tex]\frac{2}{3}[/tex]  gallons of vanilla ice-cream

To find how much more chocolate ice cream is there than vanilla

We subtract vanilla from chocolate

[tex]\frac{7}{8} -\frac{2}{3}[/tex]

To subtract fractions we make the denominators same

least common denominator is 24

[tex]\frac{7*3}{8*3} -\frac{2*8}{3*8}[/tex]

[tex]\frac{21}{24} -\frac{16}{24}[/tex]

[tex]\frac{5}{24}[/tex]

[tex]\frac{5}{24}[/tex] of a gallon

Answer:

answer is A

Step-by-step explanation:

Answer:

a.) [tex]n+5=q[/tex] and [tex].05n +.25q=7.25[/tex]

Step-by-step explanation:

1.  You have that there were 5 more quarters ([tex]q[/tex]) than nickels ([tex]n[/tex]. Therefore, you can express it as below:

[tex]n+5=q[/tex]

2. Keeping on mind that the value of the coins was $7.25 and that a quarter is 25 cents and a nickel is 5 cents, you can write the following expression:

[tex].05n +.25q=7.25[/tex]

3. Therefore, the answer is the option a.

Answer: 1

Step-by-step explanation:

Anything to the 0 power is 1, with the exception of 0⁰ = 0

(1,000,000,000)⁰ = 1

[tex](\frac{2}{5})^{0} = 1[/tex]

(0.0012345)⁰ = 1

Final answer:

The inequality 5m - 7 > 16 is true for all numbers greater than 4 in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. After isolating m in the inequality, we find that m must be greater than 4.6. Since we're dealing with whole numbers, the inequality holds for numbers greater than 4.

Explanation:

To solve the inequality 5m − 7 > 16, we first isolate the variable m:

Add 7 to both sides of the inequality to get: 5m > 23.

Next, divide both sides by 5 to find the value of m: m > [tex]\frac{23}{5}[/tex], which simplifies to m > 4.6.

Since m must be greater than 4.6, and we are given a set of whole numbers, we are looking for all numbers greater than 4 in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. This means the inequality holds true for all numbers greater than 4 in the set.

Answer: No it is not a solution

Why not? Because it doesn't make the first inequality true. Replace x with 1 and y with 2

y > 2x

y > 2*1 ... replaced x with 1

2 > 2*1 .... replaced y with 2

2 > 2 .... which is a false inequality statement since 2 is not larger than itself

Answer: NO!

Step-by-step explanation:

x = 1, y = 2

 y > 2x

 2 > 2(1)

 2 > 2

 False

Sine it already failed, no need to check the other equation.

( x + 1) and (x - 4)

to factor the trinomial consider the factors of the constant term ( - 4) which sum to give the coefficient of the x-term ( - 3 )

these are - 4 and + 1

x² - 3x - 4 = (x - 4)( x + 1)

-7/6*x-6=-48

X will equal -36.

i think it because when you rational X and witten the numer as a decimal hope i right just joke

example is rational number 4 12 then it say add and decimal the answer going to be 4.12

113-47 = 66 female sheep

66-47 = 19

19 more female sheep than male sheep

The total number of sheep the farmer has is 113 sheep. Since 47 of them are males and you are solving for the number of female sheep, you can subtract 47 sheep from 113 sheep.

113 - 47 = 66

We have figured out that there are 113 total sheep, 47 male sheep, and 66 female sheep. The question is asking for how many more female sheep are there than male sheep, so subtract the number of male sheep from the number of female sheep.

female sheep - male sheep = answer

66 - 47 = 19

There are 19 more female sheep than there are male sheep.