At 7:00 am, it was -30° F in Soldotna, AK. By noon, the temperature had
risen 12° F. What was the temperature at noon?
O-42° F
O 42° F
O-18° F
O 18° F

The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

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Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

The range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.

The range of function g depends on the range of the function f.

Let's start by assuming that we know the range of f.

If the range of f is Rf, then the range of -2f is the set {-2y | y ∈ Rf}, which is just the set of all numbers that can be obtained by multiplying an element of Rf by -2.

Finally, we add 1 to each of these values to get the range of g. Therefore, the range of g is:

Rg = {1 - 2y | y ∈ Rf}

In other words, the range of g is obtained by taking the range of f, multiplying each element by -2, and adding 1 to each result.

If we don't know the range of f, we can still say something about the range of g. Specifically, we know that g(x) can never be greater than 1 (since the largest value that -2f(x) can take is 0, and adding 1 to 0 gives us 1), and g(x) can never be less than 1 - 2M, where M is the largest possible value that f(x) can take on. In other words, the range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.

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The solution is region 8 tables and 0 chairs. By making and selling 8 tables, the carpenter will work for 40 hours and make $800. This is his maximum profit.

Не говоря български, но може би снимката по-долу ще бъде полезна... Опитайте да копирате и поставите английския текст в преводач.

I think for either cone, r stands for radius, h is the height, and is the slant height.

Then rotating the triangle about the shorter leg with length a = 3 cm, the resulting cone (on the right in the picture) would have r = 4 cm, h = 3 cm, and = 5 cm.

For the other cone, rotating about the longer leg with b = 4 cm generates a cone with r = 3 cm, h = 4 cm, and = 5 cm.

Step-by-step explanation:

1 yd = 3 ft

1 yd² = 2ft²

1 gallon covers: 15 · 9 = 135 ft²

955 : 135 ≈ 7.074 gal

7.1 gallons

# Jerry Don is here#

The quantity of paint required to paint the platform is 3 gallons.

The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.

Given that the attached figure represents a platform in an auditorium. The crew needs to paint it green. One gallon of paint will cover 40 square yards. One gallon of paint will cover 40 square yards.

The area of the platform is,

Area = (3x2) + 2 ( 7x 2 ) + ( 4 x 2 )2 + 3(6) + ( 5 x 3 ) + ( 4 x 3 ) + ( 2 x 3 ) + ( 7 x 3 )

Area = 6 + 28 + 16 + 18 + 15 + 12 + 6 + 21

Area = 122 square yards.

The quantity of paint required will be calculated as,

Q = 122 / 40

Q = 3 gallons

Therefore, the quantity of paint is 3 gallons.

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Answer:

-57.6=x

Step-by-step explanation:

-22.3= x/3-3.1
-19.2=x/3
-57.6=x

Answer:

C   132°

Step-by-step explanation:

The measure of <ABG is the sum of the measures one exterior angle of each polygon.

The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.

In a regular polygon, all exterior angles are congruent.

Measure of one exterior angle of a regular pentagon:

360°/5 = 72°

Measure of one exterior angle of a regular hexagon:

360°/6 = 60°

m<ABG = 72° + 60°

m<ABG = 132°

You are correct.

Answer:   C   132°

Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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Answer:

i think its b

Step-by-step explanation:

The discrete probability distribution is a valid probability distribution:

a. Yes, because the probabilities add up to 1.

A discrete probability distribution is one that counts occurrences that have countable or finite outcomes. Discrete distributions contrast with continuous distributions, where outcomes can fall anywhere on a continuum.

For a discrete probability distribution to be valid, the following must be true;

∑p(x) = P(X) = 15 + P(X) = 22 + P(X) = 34 + P(X) = 40

Substitute known values to get;

∑p(x) = 0.16 + 0.33 + 0.30 + 0.21

∑p(x) = 1

Hence, the discrete probability distribution is a valid probability distribution.

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9514 1404 393

Answer:

  3/4; 1/4, 1/4, 1/4

Step-by-step explanation:

The intent here is to let you demonstrate your understanding that multiplication by an integer is the same as repeated addition.

Your knowledge of fractions tells you ...

  \(\dfrac{1}{4}\times3=\dfrac{3}{4}\)

The factor of 3 means this is equivalent to adding 1/4 a total of 3 times:

  \(\dfrac{1}{4}\times3=\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}\)

Step-by-step explanation:

Given: \(y = 3x^4 - 5x + 3\)

\(\Rightarrow \dfrac{dy}{dx} = 12x^3 - 5\)

Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\therefore\) The answer is \(-5x(x-2)\).

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

1/5

Step-by-step explanation: 60/12+48-53+5

The option that is false regarding the low credit score is that she is more likely to get a loan with a low-interest rate.

A credit score is a numerical expression that is based on a level analysis of a person's credit files, to represent the creditworthiness of an individual.

In this case, she is not likely to get a loan with a low-interest rate because of her poor credit score.

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Answer:

-2

Step-by-step explanation:

because 3 minused by a bigger number is automatically going to be in the negatives so all you have to do is find the difference between the 2 and then you have what number it is going to be in the negatives.

Answer:

-2

Step-by-step explanation:

im kinda smart (:

Total Cost Incurred from stress test is $2,750.

Deductible of $2,000 means he pays $2,000 off the $2,750 leaving the remaining balance to be paid at:

However, Bobby's Health Insurance policy is now liable for 80% of of this balance equaling:

So in all, insurance covers just $600 off $,2750.

Therefore, Bobby will have to pay:

Bobby would need to pay $2,150 out of his own pocket for the stress test.​

There are (e) 125 positive integers that satisfy the n condition

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

(130n)^50 > n^100 > 2^200

\(\sqrt[50]{}\)[(130n)^50] > \(\sqrt[50]{}\)(n^100) > \(\sqrt[50]{}\)(2^200)

130n > n^2 > 2^4

130n > n^2 > 16

Solving each part, we get:

n^2 > 16

n > √16

n > 4

130n > n^2

130 > n^2/n

130 > n

130 > n > 4

Therefore the answer is the number of positive integers over 4 and 130 which is 129 - 5 + 1 = 125

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Correctly written question:

How many positive integers n satisfy the following condition (130n)⁵⁰ > n¹⁰⁰ > 2²⁰⁰ ? (a)0 (b)7 (c)12 (d)65 (e)125

Answer:

1. List (in order) the five phases a single 2 solar mass will go through in its life.

2. List (in order) the five phases a single 25 solar mass will go through in its life.

3. List (in order) the five phases a single 60 solar mass will go through in its life.

Phase options (can be used more than once, some may not be used at all):

Type II Supernova

Protostar

White Dwarf

Giant Phase

Main sequence

Neutron Star

Brown Dwarf

Black Hole

Type 1a Supernova

Planetary Nebula

Step-by-step explanation:

Answer:

1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)

2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

Step-by-step explanation:

Problem 1

\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)

Problem 2

\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)

Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)

Answer: 3m+ 13 is greater

Answer:

The answer is "0.00842".

Step-by-step explanation:

Due to these cards, a conventional 52-card set is dealt one at a time.

While the first two cards are spades, then it would be expected that we could find the next three cards tents, too.

Let A draw 2 spade cards out of 52 cards. Let B become the occasion to draw 3 spade cards the remaining 50 end cards \((A \cap B)\) was its case where a 52 card spade is chosen \((2+3)=5\).

The number of plots drawn first from 13 regular 52-cerd decks equals number of,\(n(A)=\binom{13}{2}\)  probability of event \(A, PA =\frac{\binom{13}{2}}{\binom{52}{2}}\)

Furthermore, the multitude of possibilities we can pull from of the remaining 11 spades of the previous 3 cards is 50-card decks standard, \(n (B) = \binom{11}{3}\)  then, the probability of event, \(B, P(B)=\frac{\binom{11}{3}}{\binom{50}{3}}\)

The chances of five cards being drawn (three spades and two spades),

\(P(B \cap A)=\frac{\binom{13}{5}}{\binom{52}{5}}\)

Then there is the chance that the next three cards will be picked if the first two are both pads, \(P(\frac{B}{A})\)

\(\to P(\frac{B}{A}) \\\\ =\frac{P(B\cap A )}{P(A)}\\\\=\frac{\frac{\frac{13}{5}}{\frac{52}{2}}}{\frac{\frac{13}{2}}{\frac{52}{2}}}\\\\= 0.00842\)

The average may be obtained by adding all the given values divided by the number of values. Since 4 of the 5 values are given and the given average is 84, we may substitute the given values in the following formula.

Thus, we will obtain the following.

To solve for the missing value, find the sum of the four addends.

Multiply both sides of the equation by 5.

And subtract both sides of the equation by 330.

Thus, the last score should be 90.