Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line.Parallel to the line y=5x containing the points (-5,5)

The two main purposes of all businesses are earning revenue and maximizing profits, the correct option is B and E.

We are given that;

The four options

Now,

Earning revenue means generating income from selling goods or services to customers. Revenue is the lifeblood of a business, as it covers the costs of production, operation, and growth. Without revenue, a business cannot survive or fulfill its other purposes.

Maximizing profits means increasing the difference between revenue and costs. Profits are the reward for creating value for customers and stakeholders. Profits can be reinvested in the business to improve quality, efficiency, innovation, and competitiveness. Profits can also be distributed to shareholders, employees, or society as dividends, wages, or donations.

Therefore, by unitary method the answer will be earning revenue and maximizing profits.

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Answer:

\(y=\frac{1}{2} x-8\)

Step-by-step explanation:

Slope-intercept form is organized in the form y=mx+b, where m is the slope and b is the y-intercept.

Because we're already given the values, we just have to plug them into the equation.

\(y=mx+b\\y=\frac{1}{2} x+(-8)\\y=\frac{1}{2} x-8\)

To graph this equation, first plot a point at (0, -8). This is because the y-intercept is -8, meaning that the line crosses the y-axis when y=-8.

Then, plot the next point using the slope. The slope is equal to the rise/run of the line, or the number of units the line travels upwards / the number of units the line travels to the right. Because the slope is 1/2, we know that for every 2 units a point travels to the right, it goes up by 1 unit.

Please see the picture attached.

I hope this helps!

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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Answer:

Step-by-step explanation:

3.45/(3/4)

3.45/0.75

4.6$ per pound

Answer:

13:9

Step-by-step explanation:

The ratio of the number of apples to the number of fruits in the fruit salad is given by the equation A = 9 : 22

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the ratio of number of apples to the number of fruits be A

Now , the proportion will be

The number of pears = 13 pears

The number of apples = 9 apples

Now , the number of fruits = number of pears + number of apples

Substituting the values in the equation , we get

The number of fruits = 13 + 9 = 22

Now , the proportion of apples to fruits A is

Ratio of the number of apples to the number of fruits in the fruit salad A = number of apples : number of fruits

Substituting the values in the equation , we get

Ratio of the number of apples to the number of fruits in the fruit salad

A = 9 / 22

A = 9 : 22

Therefore , the value of A is 9 : 22

Hence , the proportion is 9 : 22

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Answer:

4 rows of 28 kids

Step-by-step explanation:

Answer:

a

\( 0.9876 <  \mu < 1.0174 \)

b

\(0.941 <  x_o <  1.064\)

c

\(0.933 , 1.072\)

Step-by-step explanation:

From the question we are told that

  The data is  

1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 1.01, 1.03, 0.99, 1.00, 1.00, 0.99, 0.98, 1.01, 1.02, 0.99

   Generally sample mean is mathematically represented as  

    \(\= x = \frac{\sum x_i}{n}\)

=>  \(\= x = \frac{1.01 +  0.97 +  1.03 \cdots +1.02 +  0.99}{16}\)

=> \(\= x =1.0025\)

Generally the standard deviation is mathematically represented as

       \(\sigma =  \sqrt{\frac{\sum (x - \= x) ^2}{n} }\)

=>    \(\sigma =  \sqrt{\frac{ (1.01 - 1.0025 ) ^2 + (0.97 - 1.0025 ) ^2+ \cdots  + (0.99 - 1.0025 ) ^2 }{16} }\)

=>   \(\sigma =  0.0202\)

Given that the confidence level is 99% then the level of significance is  

     \(\alpha  =  (100 - 99 ) \%\)

=>   \(\alpha  = 0.01\)

From the t distribution table the critical value for \(\frac{\alpha }{2}  = \frac{0.05}{2}  =  0.005\) is  \(t_{\frac{\alpha }{2} } =  2.947\)

Generally the margin of error is mathematically represented as

       \(E =  t_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>    \(E = 2.947 *  \frac{0.0202 }{\sqrt{16} }\)

=>    \(E = 0.01488\)

Generally the 99% confidence interval is  

    \(\= x  - E <  \mu < \= x  + E\)

=>   \(1.0025  - 0.01488<  \mu < 1.0025  + 0.01488\)

=>   \( 0.9876 <  \mu < 1.0174 \)

Generally the 99% Prediction interval is mathematically represented as

    \(\= x  -[t_{\frac{\alpha }{2} } *  \sigma  *  \sqrt{1 + \frac{1}{n} } ] <  x_o <\= x  +[t_{\frac{\alpha }{2} } *  \sigma  *  \sqrt{1 + \frac{1}{n} } ]\)

So

=>  \(1.0025  -[2.947 *  0.0202  *  \sqrt{1 + \frac{1}{16} } ] <  x_o <1.0025  +[2.947 *  0.0202  *  \sqrt{1 + \frac{1}{16} } ]

=>  \(0.941 <  x_o <  1.064\)

Generally the two sided limit tolerance factor at sample size of  n =  16 ,  Prediction level of 99% and  confidence level of 95 is  \(r =  3.421\) , this value is obtained from the statistical table

Generally the 99% tolerance interval for coverage of the central 95% of the distribution of diameters is mathematically represented as

      \(\= x - (r * \sigma ) , \= x + (r * \sigma )\)

=>    \(1.0025 - ( 3.421 * 0.0202) , 1.0025 + ( 3.421 * 0.0202)\)

=>    \(0.933 , 1.072\)

Answer:

89 km

Step-by-step explanation:

a^2+b^2=c^2

80^2+39^2=c^2

6400+1521=c^2

7921=c^2

sqrt of 7921=89

Answer:

35

Step-by-step explanation:

Simply plug in the value of your 'x' and 'y':

x = 4.5

y = 5.2

\(2(4.5)+5(5.2)=9+26=35\)

The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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Answer:

42°

Step-by-step explanation:

According to Exterior Angle Theorem,

an exterior angle of a ∆ is equal to the sum of the opposite interior angles.

So,

h+96°=138°

h=138°-96°

h=42°

Answer:

You cannot give away more than you have. You have no pie left.

Step-by-step explanation:

1/4 - 5/8

Multiply 1/4 by 2 to get a common denominator in order to subtract.

2/8 - 5/8

= -3/8

You can't have -3/8 of a pie.

Therefore, you have no pie left.

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Answer:

the first one

Step-by-step explanation:

The cost to mail a 2-lb package is $7.

The cost to mail a 2-lb, 1 oz package is $7+$0.30(1).

That to mail a 2-lb, 2 oz package is $7+$0.30(2) = $7.60.

Following this pattern, the general formula is f(x) = $7 + $0.30x, where x represents the number of ounces OVER 2 lb.

Answer:

D. its a two dimensional object

Answer:

A. It is a polygon

C. It is a one-dimensional object

The shape is a polygon in two dimensions since a polygon must have at least three straight sides.

Answer:

y + 7 = -2/3 (x - 1)

Step-by-step explanation:

Point-slope form is y - y1 = m (x - x1)

-7 is y1, -2/3 is m, and 1 is x1

When you plug the values in, you get y + 7 = -2/3 (x - 1)

The statement given is true. Similar triangles are the same shape but different sizes. in order for two triangles to be similar, the corresponding angles must be congruent and the corresponding sides must be proportional.

Two triangles are said to be similar if their corresponding sides are proportionate and their corresponding angles are congruent. As a result, using another triangle, we may determine the dimensions of one triangle. With the help of the formulas shown below, we can determine the pertinent angles and side lengths for triangles DEF and RTS if they are two similar triangles.

∠D = ∠R, ∠E = ∠T and ∠F= ∠S

DE/RT = EF/TS = DF/RS

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Answer:

185

Step-by-step explanation:

Total area is 27 x 10= 270

unshaded are is 17x5= 85

270 - 85 = 185 (total shade area)

Answer:

Maricopa's Success invests $25,000 in stocks, $40,000 in bonds, and $10,000 in CDs.

Step-by-step explanation:

a = Stocks

b = Bonds

c = CDs

a + b + c = 75000

b = 30000 + c

a = 75000 - c - 30000 - c = 45000 - 2c

0.065(45000 - 2c) + 0.044(30000 + c) + 0.0225c = 3610

2925 - 0.13c + 1320 + 0.044c + 0.0225c = 3610

0.0635c = 635

c = 10000

So b = 40000 and a = 25000

Answer:

x=3+i or x=3-i

Step-by-step explanation:

x²-6x+10=0

(x²-6x+9) + 1 = 0

(x-3)² + 1 = 0

(x-3)² = -1

x-3 = ± √-1 = ± i

x = 3 + i    or x = 3 - i

The next step is that L in can write her solution using i be like x = 3 + i or x = 3 - i.

Mathematical phrases with two algebraic symbols on either end of the equal (=) sign are called equations. To illustrate this connection, the expressions just on the left and right are demonstrated to be equivalent to each other. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

From the given values provided in the question,

x² - 6x + 10 = 0

(x² - 6x + 9) + 1 = 0

(x - 3)² + 1 = 0

(x - 3)² = -1

x - 3 = ±√-1

x - 3 = ± i

x = 3 + i or,    

x = 3 - i

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Answer:

Step-by-step explanation:

3 x y for x=2,

y=3: 3 x y  x=2, y=3; Evaluate (z+2)(z-1) for z=5: (z+2)(z-1) z=5.

Answer:

μp^​​​​​ = 0.8

σp^ = √0.8(1−0.8)/75​​​

Step-by-step explanation:

Step-by-step explanation:

small braccket first = 216

then 5"216= 1080

5+1080-10

1085-10

1075

If Montraie is going to invest in an account paying an interest rate of 4.6% compounded annually, then she has to invest $820.06 for the value of the account to reach $1610 in 15 years

The interest rate = 4.6%

The final amount = $1610

The time period = 15 years

The compound interest

A = \(P(1+\frac{r}{100})^{t}\)

Where A is the final amount

P is the principal amount

r = interest rate

t is the time period

Substitute the values in the equation

1610 = \(P(1+\frac{4.6}{100})^{15}\)

1610 = P×1.96

P = 1610/1.96

P = $820.06

Hence, if Montraie is going to invest in an account paying an interest rate of 4.6% compounded annually, then she has to invest $820.06 for the value of the account to reach $1610 in 15 years

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Answer:

each blue glove is 1.07

Step-by-step explanation:

10-4.65=5.35

5.35/5=1.07

Answer:1.07

Step-by-step explanation:10-4.65=5.35

5.35/5=1.07

Answer:

400,000

Step-by-step explanation:

Step-by-step explanation:

The answer to the Q is=$49×5

$245

An equation for the height of the rocket after t seconds is h(t) = -16t² + 352t.

The time it takes for the rocket to reach a height of 0 is 22 seconds.

The time it takes to reach the top of its trajectory is 11 seconds.

The maximum height is 1,936 feet.

The time it takes to reach a height of 968 feet is 18.8 or 3.2 seconds.

Based on the information provided, we can logically deduce that the height (h) in feet, of this rocket above the​ ground is related to time by the following quadratic function:

h(t) = -16t² + Vit

When the initial velocity is 352 feet per seconds, the height function becomes;

h(t) = -16t² + 352t

Generally speaking, the height of this rocket would be equal to zero (0) when it hits the ground. Therefore, we would equate the height function to zero (0) as follows:

0 = -16t² + 352t

352t = 16t²

Time, t = 352/16

Time, t = 22 seconds.

Next, we would determine the maximum height of this rocket by taking the first derivate in order to determine the time (t) it takes;

h(t) = -16t² + 352t

h'(t) = -32t + 352

352 = 32t

t = 352/32 = 11 seconds.

h(11) = -16(11)² + 352(11)

h(11) = 1,936 feet.

At a height of 968 feet, the time is given by;

968 = -16t² + 352t

16t² - 352t + 968 = 0

t² - 22t + 60.5 = 0

Time, t = 18.8 or 3.2 seconds.

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