The sum of two numbers is 12. The difference of the same two numbers is -4. Find the two numbers.
Larger number
Smaller number

Answer:

Step-by-step explanation:

Answer:

C The magnitude is 7.94, and the direction angle is N 49.91° E.

magnitude formula: sqrt x^2+y^2

                                 sqrt 6^2+5.2^2

                                 7.94

direction angle: tan^-1(x/y)

                          tan^-1(6/5.2)

                          49.91                      (convert radians to degrees)

The direction angle and magnitude of the position vector are 34 degrees and 7.93 respectively.

The direction of a vector is the orientation of the vector, that is the angle it makes with the x- axis.

If  position vector v = <a, b>, then the magnitude is given by

\(|v| = \sqrt{a^{2}+b^{2} }\)

If θ is the angle formed with the x- axis or y axis  ,then direction is given by

θ = \(tan^{-1}\frac{b}{a}\)

According to the given question

We have

Position vector (6, 5.2)

So, the magnitude of the position vector = \(\sqrt{6^{2}+(5.2)^{2} }\) = \(\sqrt{36+27.04}\)

= \(\sqrt{63.04} =7.93\)

Now, the direction angle of the vector is given by

\(tan\alpha =\frac{6}{5.2} \\ tan\alpha =1.15\\\alpha =tan^{-1} (1.5) = 56degrees.\)

Therefore,

θ = 90 -56 = 34degrees.

Hence, the direction angle and magnitude of the position vector are 34degrees and 7.93 respectively.

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Answer:

x-int: (-40, 0)

y-int: (0, 15)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the line on the graph, it passes the x-axis at x = -40 and it passes the y-axis at y = 15.

Therefore, our x-int is (-40, 0) and our y-int is (0, 15)

The choice of plan depends on various factors such as budget, usage requirements, and personal preferences.

Shawn and Elena have chosen different plans for their subscription services. Shawn's plan includes a one-time sign-up fee of $95, followed by a monthly charge of $20.

This means that Shawn will pay $95 upfront to activate the plan, and then he will be billed $20 each month for the service. This type of pricing model is commonly seen in subscription-based services, where customers have to pay an initial fee to access the service and then a recurring monthly fee to maintain their subscription.

On the other hand, Elena has opted for a different plan that charges a flat rate of $35 per month. This means that Elena will be charged $35 every month for the service, without any additional one-time fees or charges.

Shawn's plan, with a higher initial fee but a lower monthly charge, may be more suitable for those who are willing to invest upfront and anticipate long-term usage.

Elena's plan, with a lower monthly charge but no initial fee, might be preferred by those who prefer a lower upfront cost and flexibility in canceling the service without any additional financial implications.

Ultimately, the decision between the two plans will depend on individual circumstances and priorities.

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Answer:

It’s line AB

Step-by-step explanation:

The equation for like AB is y=1/2x+0 and is perpendicular to HJ

Answer:

The expression (5m)³ can be expressed as 5into 5into 5·intom·xm·xm

Step-by-step explanation:

the average rate of change is

(h(interval end) - h(interval begin)) /

(interval end - interval begin)

in our case this is

(h(8) - h(-1)) / (8 - -1) = (108 - 9) / 9 = 99/9 = 11/1 = 11

Answer:

Combine like terms

Step-by-step explanation:

Answer:

55 is the answer

Step-by-step explanation:

47+78=125

180-126=55

Answer:

55 degrees

Step-by-step explanation:

47 + 78 = 125

180 - 125 = 55

She has a 0.0755 chance of accurately answering three questions at most.

Given data;

A student is completing a multiple-choice exam that consists of 7 questions and 4 possible answers. Suppose the student guesses the right response with a probability of 0.75 while not knowing the topic.

The terms are expanded using the binomial theorem.

7 questions total.

The probability of doing it right is 0.75.

The chance of getting it wrong is 1 - 0.75 = 0.25

The likelihood that she will accurately respond to no more than three questions is indicated as;

\(P = ^nCr p^rq^n^-^r\)

\(P = ^nCo (0.75)^r(0.25)^n^-^r\)

Here, r ranges from (0, 1, 2, 3)

\(P = ^7Co (0.75)^o(0.25)^7+^7C1 (0.75)^1(0.25)^6+^7C2 (0.75)^2(0.25)^5+^7C3(0.75)^3(0.25)^4\)

\(P = (0.25)^7+7(0.75)^1(0.25)^6+21(0.75)^2(0.25)^5+35(0.75)^3(0.25)^4\)

P = 0.0755

Therefore, the probability that she will answer at most 3 questions correctly is 0.0755.

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Answer:

y = 17x

Step-by-step explanation:

Answer: n = 5

Step-by-step explanation:

Problem: 5n + 7 (n + 4) = 88

Expand

5n + 7n + 28 = 88

Simplify 5n + 7n + 28 to 12n + 28

12n + 28 = 88

Simplify 88 - 28 to 60

12n = 60

Divide both sides by 12

n = \(\frac{60}{12}\)

Simplify \(\frac{60}{12}\) to 5

n = 5

Answer:

n = 5

Step-by-step explanation:

5n + 7 (n+4) = 88

Distribute the 7

5n + 7n + 28 = 88

Combine like terms (5n, 7n)

12n + 28 = 88

Subtract 28 from 88 to isolate the exponent (12n)

12n = 60
Divide both sides by 12

n = 5

--

To check the answer, replace n in the equation with 5.

5 * 5 + 7 (5 + 4) = 88

5 * 5 + 7 * 9 = 88

25 + 63 = 88

88 = 88

Answer:

2

Step-by-step explanation:

Answer:

Where is the equation.

Step-by-step explanation:

Answer: For 3 Batches, 6 butter & 9 flour

For 5 Batches, 10 butter & 15 flour

Step-by-step explanation:

1 Batch = 2:3

So, whatever we times up by in batches we can do the same to the ingredients.

1 batch = 2:3

multiply 3

3 batches = 6:9

and so on…

For 3 batches 6 ounces of butter and 9 ounces of flour are required for 5 batches 10 ounces of butter and 15 ounces of flour are required.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given that for one batch of cookies, the ratio of ounces of butter to ounces of flour is 2 to 3. The proportions of butter and flour will be calculated as:-

3 batches = 2 Butter : 3 Flour = 6 Butter : 9 Flour

5 batches = 2 Butter : 3 Flour = 10 Butter : 15 Flour

Therefore, for 3 batches 6 ounces of butter and 9 ounces of flour are required for 5 batches 10 ounces of butter and 15 ounces of flour are required.

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Answer:

it would take 3,000 neyland stadiums to take 300milion people is rounded i hope this helps

Step-by-step explanation:

The specific gravity of the combined product is 1.22

Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.

Given,

The total quantity of portion= 50 ml

Specific gravities of the three syrups = 1.10,1.25 and 1.32

Then,

The specific gravity of the combined product= \(\frac{1.10+1.25+1.32}{3}\)

= 1.22

Hence, the specific gravity of the combined product is 1.22.

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Answer:

8

Step-by-step explanation:

If you add the ratios together, it is equal to 9

Since NQ = 9, 9/9=1

So each unit is 1

Then you can just add 5*1 + 3*1

Which is 8

Hope this helps :)

Given function in the question is,

        g(x) = |x + 1| - 5

Rules to remember for the translation a function,

        g(x) = |x - h|

        h(x) = |x + h|

        k(x) = |x| + k

        p(x) = |x| - k

Using these rules,

Function 'f' will be translated 1 units left and and 5 units down to form the image function 'g'.

       Therefore, Margo made an error to interpret that the function is translated 1 units right.

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Solution

Step 1:

Write the logarithm function

Step 2:

Base = a

Exponent = 4

Hence

Final answer

The dimensions of the fencing that will minimize the cost of the fence are 50 feet by 100 feet.

The area of the total lot with all three pens is 5000 square feet, which means that the total area of the fencing is also 5000 square feet.

Let's say the length of the fencing is x feet and the width of the fencing is y feet. We can write the following equation to represent the area of the fencing:

xy = 5000

The cost of the horizontal fencing (length) is $26 per foot, so the total cost of the horizontal fencing is 26x. The cost of the vertical fencing (width) is $12 per foot, so the total cost of the vertical fencing is 12y. The total cost of the fencing is the sum of these two costs, so we can write the following equation to represent the total cost of the fencing:

26x + 12y = C

Where C is the total cost of the fencing.

We want to minimize the total cost of the fencing, so we want to find the values of x and y that minimize the value of C We can do this by setting up a system of equations and solving for x and y.

xy = 5000

26x + 12y = C

We can solve this system of equations using the substitution method. First, we can solve the first equation for y:

\($y = \frac{5000}{x}$\)

Substituting this expression for y into the second equation, we get:

\($26x + 12(\frac{5000}{x}) = C$\)

Solving for x, we get:

\($x = \sqrt{625} = 25$\)

Substituting this value for x into the first equation, we get:

\($y = \frac{5000}{25} = 200$\)

Therefore, the dimensions of the fencing that will minimize the cost of the fence are x = 25 feet and y = 200 feet, which is a fencing with a length of 50 feet and a width of 100 feet.

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Answer:

42.21 ft^2

Step-by-step explanation:

The formula: A=1 /2b √ c2﹣b2

c=hypotenuse

b=base

The explicit formula of the sequence is -3n + 36.

The sequence above is a arithmetic progression. Therefore, let's write the nth term of the sequence.

Hence,

33, 30, 27

a + (n - 1)d = nth term

where

Therefore,

a = 33

d = 30 - 33 = -3

n = number of term

Hence,

nth term = 33 + (n - 1)-3

nth term = 33 - 3n + 3

nth term = -3n + 36

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The probability that a player will get an extra turn is 1/2 or 50%.

There are four possible outcomes when a player spins the spinner: 1, 2, 3, or 4. The probability of spinning a one or a three is 2/4 or 1/2, since there are two favorable outcomes out of four equally likely outcomes.

If a player spins a one or a three, they get an extra turn, which gives them another chance to spin the spinner. Since the probability of spinning a one or a three is 1/2, the probability of getting an extra turn is also 1/2.

Therefore, the probability that a player will get an extra turn is 1/2 or 50%.

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The possible sources of inaccuracy that could have an impact on your results are -

While conducting a scientific experiment, numerous errors—either systematic or random—could happen.

Thus, more measuring is done when the bias is smaller and more measuring is done when the uncertainty is smaller.

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Answer:

2x^2 + 6x + 2

Step-by-step explanation:

5 + 3x - x^2 + (3x^2 - 5x + 4 + 8x - 7) =

= 5 + 3x - x^2 + 3x^2 + 3x - 3

= 2x^2 + 6x + 2

The expression that is equivalent to the area of the metal sheet required to make this square-shaped traffic sign is 22,500.

We are given a square-shaped traffic sign and we are to find the expression that is equivalent to the area of the metal sheet required to make this traffic sign.

A square-shaped traffic sign has 4 equal sides. Let each side measure 150 centimeters.

Therefore, the area of the square-shaped traffic sign is given by: Area = side²

Substitute the value of the side as given in the question= (150)²= 22,500

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Answer:

5 years ago

Let Kelly's age be x

Jake's age is 4x

5 years later

Kelly's age is x + 5

Jake's age is 4x+5

The sum of both their ages is 60. The equation will be

x + 5 + 4x + 5 = 60

5x + 10 = 60

5x = 60 - 10

x = 50/5 = 10

So Kelly is (10 + 5) 15 years old.

Jake is (4*10 + 5) = 45 years old

Step-by-step explanation:

x² + 8x + 15

(x²+5x)+(3x+15)

x(x+5) + 3(x+5)

(x+3) (x+5)

You can notify me if you don't understand

Answer:

x-ints: (-5,0) and (-3,0)

Factors: (x+5)(x+3)

Step-by-step explanation:

First, make the equation equal 0. Then, because x² is x × x, factor it by doing a diamond, so you're seeing what times 15 equals 8, so 3 times 5. The factors would be (x+5)(x+3).

Then, to get the x-ints, put that back into the equation: (x+5)(x+3)=0.

-5 + 5=0   and    -3 + 3=0, so x=-5 and -3, so the x-ints are (-5,0) and (-3,0)

(I got u and hope this helps :P)

Metric ruler, A metric ruler is a tool used to measure length in the metric system, which is based on the unit of measurement called the meter (m).

The metric ruler is typically made of plastic, metal or wood, and has a length of 30 centimeters (cm) or 12 inches (in). The markings on a metric ruler are in millimeters (mm) and centimeters (cm), with each centimeter divided into 10 millimeters. To measure a circle using a metric ruler, you would need to measure its diameter or radius in millimeters or centimeters.

To measure the radius of a circle using a metric ruler, place the ruler at the center of the circle and extend it out to the edge of the circle. Read the measurement in millimeters or centimeters at the point where the ruler meets the edge of the circle. Again, make sure to place the ruler perpendicular to the radius for an accurate measurement.

It's worth noting that when measuring the diameter or radius of a circle with a metric ruler, it's important to use the same units of measurement consistently. For example, if you measure the diameter in centimeters, make sure to measure the radius in centimeters as well, so that your measurements are consistent and accurate.

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