solve for e

3 + 8e + 5 = -3e +13 + 10e

Answer:

\( - 3(x + 4) {}^{2} - 4\)

Step-by-step explanation:

Vertex form is

\(a(x - h) {}^{2} + k = f(x)\)

We know that h and k are both -4. Let x be -2 and y be -16.

\(a( - 2 + 4) {}^{2} - 4 = - 16\)

\(a(2) {}^{2} - 4 = - 16\)

\(4a - 4 = - 16\)

\(4a = - 12\)

\(a = - 3\)

So the equation in vertex form is

\( - 3(x + 4) {}^{2} - 4\)

Hence, the proportion is \(1461\).

What is the proportion?

A proportion is an equation in which two ratios are set equal to each other.

Here given that,

\(\frac{xdays}{4years}=\frac{365.25days}{1year}\\\)

\(x\) days year = \(1461\) days year

\(x=1461\)

Hence, the proportion is \(1461\).

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The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments

Degree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45

Mean squares between groups is calculated as follows:

Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58

Mean squares within groups is calculated as follows:

Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places

F ratio is calculated as follows:

F= Mean squares between groups/Mean squares within groups

= 58/8.89

= 6.524184477

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Answer:4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

your trying to find out how much each cookie cost

from looking at this we can see that 2 cookies is 1 dollar so each cookie is 50 cents

Hope This Helps!!!

Answer:

9. is true

10. is false

hope this helps

Step-by-step explanation:

Step-by-step explanation:

9 is true and 10 is true as well

Answer:

y=6x+5

Step-by-step explanation:

The 5 dollar insurance fee is a constant fee that is there no matter what value of x is present, so it will be the b, which is the constant. Now for the coefficient of x: a, it should be equal to the amount the price the shipping fee increases per kilogram (rate of change), so it should be 6 (dollars per kilogram).

Then, we get the answer: y=6x+5

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Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

Answer:

a) 0.11 =  11% probability that the car needs work on either the engine, the transmission, or both.

b) 0.9 = 90% probability that the car needs no work on the engine.

Step-by-step explanation:

P(E) = 0.10 , P(T) = 0.02 and P(E,T) = 0.01 .

This means that:

Only engine: 0.1 - 0.01 = 0.09

Only transmission: 0.02 - 0.01 = 0.01

Both engine and transmission: 0.01

(a) Find the probability that the car needs work on either the engine, the transmission, or both.

0.09 + 0.01 + 0.01 = 0.11

0.11 =  11% probability that the car needs work on either the engine, the transmission, or both.

(b) Find the probability that the car needs no work on the engine.

Probability of needing work on engine:

0.09 + 0.01 = 0.1

Not needing:

1 - 0.1 = 0.9

0.9 = 90% probability that the car needs no work on the engine.

Answer: each base angle in an isosceles right triangle measures 45 degrees.

Step-by-step explanation:

In an isosceles right triangle, two sides have equal lengths, and one angle is a right angle (90 degrees).

Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) must be congruent, meaning they have the same measure.

To find the measure of each base angle, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Let's denote the measure of each base angle as "x". Then, the sum of the three angles in the triangle can be expressed as:

x + x + 90 = 180

Simplifying the equation:

2x + 90 = 180

Subtracting 90 from both sides:

2x = 90

Dividing both sides by 2:

x = 45

Step-by-step explanation:

3+x-2/x-3<_4

cross multiply

3+x-2<_4(x-3)

3+x-2<_4x-12

1+x<_4x-12

collect like terms

1+12<_4x-x

13<_3x

divide both side by 3

13/3<_×

6.5<_x

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Answer:

2 pounds

Step-by-step explanation:

$6= 12 pounds

$1= 12÷6=2

Hope this helps! Thanks.

Ivan drank 186.1 ounces of water yesterday

Information from the problem

100 ounces of water two days ago

Yesterday, he drank 86.1% more than that amount

The statement implies that Ivan drank 100 ounces + 86.1%

86.1% = 0.861 to add this we solve as follows

= 100 ounces * 1.861

= 186.1 ounces

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Answer:

Tris-HCl (0.5M Tris Base, pH7.6):

Trizma Base ---------------------------------- 61 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl

Store this solution at room temperature. Dilute 1:10 with distilled water before use

and adjust pH if necessary.

20X Tris-HCl (1M Tris Base, pH7.6):

Trizma Base ---------------------------------- 122 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl

Store this solution at room temperature. Dilute 1:20 with distilled water before use

and adjust pH if necessary.

10X Tris-HCl-Tween 20 (0.5M Tris Base, 0.5% Tween 20, pH7.6):

Trizma Base ---------------------------------- 61 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl and then add 5 ml of Tween 20.

Store this solution at room temperature. Dilute 1:10 with distilled water before use

and adjust pH if necessary.

Note: Tris-HCl Buffer is used for specific cases of immunohistochemical staining.

*** OR you can use Tris Base to make Tr

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

According to the provided data, to be one of the top 7% earners a manager needs to earn $48,360.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data.

The formulas are given below:

\(\mu = \frac {\sum x}{N}\)      (Mean)

\(\sigma = \sqrt {\frac {\sum (X- \mu ) ^ {2}} {N}\)    (Standard Deviation)

Mean = $48,000

Standard Deviation = $4,000

According to this data, Max Earning made = $48,000 + $4,000

=$52,000

7% of $52,000 = $3,640

To be top 7% earner, A manager must earn = $52,000 - $3,640

=$48,360

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Answer:$53,903

Step-by-step explanation:

Here, the mean, μ, is 48,000 and the standard deviation, σ, is 4,000. Let x be the cutoff salary for teachers in the top 7%. The area to the right of x is 7%=0.07. So, the area to the left of x is 1−0.07=0.93.

Open Excel. Click on an empty cell. Type =NORM.INV(0.93,48000,4000) and press ENTER.

Round the answer to the nearest dollar, is x≈53,903. Therefore, the cutoff salary for managers in the top 7% is $53,903.

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Answer:

The answer would be D.

Step-by-step explanation:

Hope this Helps! Have a good day!

Answer:

D is the answer

Step-by-step explanation:

 is the answer to the question.  

To understand these questions, first look at the way the answers are written out.

Alia questions three students from her class, that might be an answer, but she didn't randomly pick them.

Miles randomly surveys a group of customers at a coffee shop, that might be one, but he might have surveyed a 25 year old instead of a 24 year old, so thats not one.  

Carson interviews students working part-time to gather data, he didn't select random students, he interviewed all of them, so that is not a valid option.

 Lea speaks with the managers at half of the town's 10 supermarkets, which stock similar items, to find out which breakfast cereal is most popular among the town's residents, that one is not stating that she interviewed, but she interviewed half of the 10, which is five, which can be selected randomly.  

So the correct answer is D.  

500 represents the initial amount of medication, since when t=0, a=500.

Answer:

The distance between the two numbers, -2.2 and 8.4 on a number line is:10.6 units.Distance of two numbers on a number line can be calculated by finding the absolute value of the their difference.Thus:if a and b are two numbers on a number line, their distance would be:|a - b| Given two numbers on a number line are:-2.28.4Distance between them = |-2.2 - 8.4| = 10.6 unitsTherefore, the distance between the two numbers, -2.2 and 8.4 on a number line is: 10.6 units.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A is the answer!

Because that's reduced of 16/30

The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

There are infinitely many numbers equivalent to 7/11

since 7/11 is a fraction that can be simplified in different ways.

We can multiply the numerator and denominator with the same number to get the equivalent fractions

7/11×2/2 = 14/22

7/11×3/3= 21/33

7/11×4/4 =28/44

7/11×5/5 =35/55

Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

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Answer: Hello! I'm Jungkook. Here is your answer.....

The expression could be used to verify g(x) is the inverse of f(x) is letter b which is 1/5(5x-25)+5

Step-by-step explanation:

Hope this helps! Anneyong/Bye!

xoxoKookie

Answer:

750

Step-by-step explanation:

A relative value indicating hundredth parts of any quantity. 1.5 is 0.2% of 750.

A relative value indicating hundredth parts of any quantity.

We need to find the number whose 1.5 is 0.2%.(one point five is zero point two percent)

Let x be the number which is 0.2% of a number 1.5.

The percentage value is converted to decimal value by dividing with 100.

0.2/100×x=1.5

zero point two divided by hundred time of x is equal to one point five.

0.002x=1.5

Divide both sides by 0.002

x=1.5/0.002

x equal to one point five by zero point zero zero two.

x=750.

x equal to seven hundred fifty.

Hence 1.5 is 0.2% of 750.

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Answer: 28/5

Step-by-step explanation:

each toy had a mass of 4/5 kilograms .there are 7 toys.so the total mass is

7 times 4/5=28/5 kilograms

hope it helps

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1