A salesperson at a jewelry store earns 8% commission each week. Last week, Heidi sold $710 worth of jewelry . How much did she make in commission ? How much jewelry did the jewelry store make from her sales?

Answer:

C

Step-by-step explanation:

If we use the distributive property for 4 (2x + 1), we see that 4 (2x) = 8x and that 4 (1) = 1. That means 4 (2x + 1) = 8x + 4 which is not equivalent to 2x + 4y. So this limits our answer to either C or D. C is the correct answer because if we use the distributive property again here for 4 (2x + y), we see that 4 (2x) = 8x and 4 (y) = 4y. That means that 4 (2x + y) = 8x + 4y which is the answer we're looking for.

May I please have brainliest for this? Thank you very much!

Answer:

3! = 3*2*1 = 6

Step-by-step explanation:

! is factorial meaning that you multiply that number by all of the number below it

9! = 9*8*7*6*5*4*3*2*1

1011 = 1011*1010*1009*1008...3*2*1

The quadratic function which models the motion of the penny is

h(t) = -4.9t² -0.327761 t + 52.6  

and the maximum height reached is 57.43

h(t) = - 0.5gt² + vt + h

g = 9.8 m/s²

h = 52.6 m

v = ?

For v,

h(t) = -0.5gt² + vt + 52.6

h(t) = - 4.9t² + vt + 52.6

Time when penny hits the ground ; t = 3.31

h(3.31) = 0

0 = -4.9(3.31)² + v(3.31) + 52.6

0 = -53.68489 + 3.31v +52.6

3.31v = -1.08489

v = -1.08489/3.31

v = -0.327761 m/s

Therefore,

h(t) = -4.9t² -0.327761 t + 52.6

2.) Maximum height of the penny above the ground

t = 0.85 seconds

h(0.85) = -4.9(0.85^2)-0.327761 (0.85) + 52.6

Maximum height reached =  57.43 meters

Therefore, the maximum height reached is 57.43 meters.

An object changing its position with regard to time is referred to as motion. Motion is mathematically characterised in terms of displacement, distance, velocity, acceleration, and speed as well as the observer's frame of reference and the measurement of the change in the body's position with respect to that frame over time. Kinematics is the area of physics that studies how motion is affected by forces, whereas dynamics is the area that studies how motion is affected by forces.

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the maximum area of such a rectangle will be 144 unit²

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

The area of rectangle is A = a*b

A = 2x*(48-x²) = 96x - 2x³

We are asked to maximize the Area as changes so hopefully, we can identify a critical point of

It an associated with a maximum, So we need to find [tex]\frac{dA}{dx}[/tex] = 0

96 - 6x² = 0

x² =96/6 = 16

x = ±6

So the width = 12

Height = 48 - 36 = 12

So the area = 144 unit²

Hence the maximum area of such a rectangle will be 144 unit²

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The owner of a landscaping company can determine how much time, on average, his employees spend mowing one lawn by taking hours per lawn.

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The expression "(-3 1/4d + 3/5) - (2 7/8d + 7/10) is equivalent to "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

An algebraic expression is a number, variable, or the combination of both and operational symbols.

To determine the equivalent of the expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or simply (-3 1/4d + 3/5) - (2 7/8d + 7/10), combine all like terms and perform the necessary operations.

(-3 1/4d + 3/5) - (2 7/8d + 7/10)

⇒ -3 1/4d + 3/5 - 2 7/8d - 7/10

⇒ (-3 1/4 - 2 7/8)d + 3/5 - 7/10

⇒ (-13/4 - 23/8)d + 6/10 - 7/10

⇒ (-26/8 - 23/8)d - 1/10

⇒ -49/8 d - 1/10

Hence, the equivalent expression is "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

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Consta8of proportionality is 1/9

Answer:

D. The sixth root of three

Step-by-step explanation:

Translate from words to math symbols:

three to the one third power all over three to the one sixth power

[tex]\frac{3^{\frac{1}{3} } }{3^{\frac{1}{6} } } \\[/tex]

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents:

[tex]\frac{\sqrt[3]{3} }{\sqrt[6]{3} }[/tex]

Simplify:

[tex]\frac{\sqrt[3]{3} }{\sqrt[6]{3} } = \frac{\sqrt[3]{3} }{\sqrt[6]{3} } * \frac{\sqrt[6]{3^{5} } }{\sqrt[6]{3^{5} } } = \frac{\sqrt[3]{3} *\sqrt[6]{3^{5} } }{\sqrt[6]{3^{6} } } = \frac{3^{\frac{1}{3} }*3^{\frac{5}{6} } }{3^{\frac{6}{6} } } = \frac{3^{(\frac{1}{3} +\frac{5}{6} )} }{3} = \frac{3^{(\frac{2}{6} +\frac{5}{6} )} }{3} = \frac{3^{\frac{7}{6} } }{3} = \frac{3^{\frac{1}{6} } *3}{3} = \\\\3^{\frac{1}{6} } = \sqrt[6]{3}[/tex]

Answer:

[tex]\sqrt[6]{3}[/tex]

D. the sixth root of three

The median will be greater than 10 and less than 15.

Given,

The mean of the skewed distribution = 15

The mode of the skewed distribution = 10

We have to find the potential range of the median for a positively skewed distribution;

Here,

The empirical relationship between mean, median, and mode for a frequency distribution that is positively skewed is mean > median > mode. Based on this, the range of the median is 15 > median > 10 if the mean is 15 and the mode is 10.

Therefore,

The median will  be higher than 10 and lower than 15.

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The probabilty that the first card is 7 and the second card is 6 numbered would be 0.0059.

What is probability?

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

It is given that there is a deck of 52 cards.

So sample space (n) = 52.

Now in the first draw, 7 numbered card should be drawn

and there are four 7 numbered cards in a deck of 52 cards

so probability of drawing a 7 numbered card will be = 4/52 = 2/26

Now in the second draw, 6 numbered cards should be drawn

and there are four 6 numbered cards in a deck of 52 cards but already one card is drawn so there will be 51 cards remaining in the deck.

so probability of drawing a 6 numbered card will be = 4/51

Hence the probability that the first card is 7 and the second card is 6 numbered will be = 2/26 * 4/51

                             = 0.076 * 0.078

                             = 0.0059

Hence, the probabilty that the first card is 7 and the second card is 6 numbered would be 0.0059.

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Answer:

Step-by-step explanation:

x = -9/5 = -1.800 or

x = 0

The approximate change per day since the lowest price occurred 35 days ago, is a. $2.08.

The approximate average change can be found by the formula :

= ( Current price of stock - Lowest price ) / Number of days since lowest price

Current price of Dagofi Radar stock = $ 130. 58 closing price

Lowest price = $ 57. 71

The approximate average change is:

= ( 130. 58 - 57. 71) / 35

= 72. 87 / 35

= $ 2.08

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Missing part of question:
Consider today's stock listing for Dagofi Radar, shown below.

52 wk High

52 wk Low

Symbol

Div.

Close

Net Change

162.22

57.71

DFR

9.75

130.58

-2.64

At a standard deviation of $15,000, the probability that the condominium will sell at a price below $200,000 is 0.2525 and above $240,000 is 0.02. At a standard deviation of $20,000, the probability that the condominium will sell at a price below $200,000 is 0.3085 and above $240,000 is 0.0668.

From the given question;

Let the average sale price(μ)=210,000

Standard Deviation(σ)=$15,000

(a) We have to find the probability that the condominium will sell at a price.

(i) below $200,000, i.e. P(x<200,000)

Z=(x−μ)/σ

Z=(200,000−210,000)/15,000

Z= −10,000/15000

Z= −0.67

Now finding P(x<200,000) is same as finding P(Z<−0.67) using the standard table of z.

P(Z<−0.67) = 0.2525

(ii) above $240,000, i.e. P(x>240,000)

Z=(x−μ)/σ

Z=(240,000−210,000)/15,000

Z= 30,000/15000

Z= 2

Now finding P(x>240,000) is same as finding P(Z>2) using the standard table of z.

P(Z>240,000)=P(Z>2)

P(Z>240,000)=1−P(Z<2)

P(z>240,000)=1−0.98

P(z>240,000)=0.02

(b) Now the average sale price(μ)=210,000

Standard Deviation(σ)=$20,000

We have to find the probability that the condominium will sell at a price.

(i) below $200,000, i.e. P(x<200,000)

Z=(x−μ)/σ

Z=(200,000−210,000)/20,000

Z= −10,000/20000

Z= −0.5

Now finding P(x<200,000) is same as finding P(Z<−0.5) using the standard table of z.

P(Z<−0.5) = 0.2085

(ii) above $240,000, i.e. P(x>240,000)

Z=(x−μ)/σ

Z=(240,000−210,000)/20,000

Z= 30,000/20000

Z= 1.5

Now finding P(x>240,000) is same as finding P(Z>1.5) using the standard table of z.

P(Z>240,000)=P(Z>1.5)

P(Z>240,000)=1−P(Z<1.5)

P(z>240,000)=1−0.93319

P(z>240,000)=0.0668

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The temperature decrease for every meter that the mountain climber's altitude increases is given by:

-100 ºF.

The function that models this situation is a linear function, which has the format defined as follows:

y = mx + b.

In which the coefficients are given as follows:

In the context of this problem, the function is defined as follows:

f(a) = -100a + 75.

Hence the slope of the function is of:

-100.

Representing the temperature decrease for each meter of altitude increase of the climber.

The function is defined as:

f(a) = -100a + 75.

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Answer:

7.9

Step-by-step explanation:

Using the half-life formula, there will be about [tex]30(0.5)^{11000/5730} \approx 7.9[/tex] grams left.

When the denominator is bigger than the numerator, a fraction is expressed as one with a numerator and a denominator. 55 cups of jam divided equally into 4 containers yields 13.75 cups per container. 13.75 cups of jam are contained in each container.

We have,

55 cups of blueberry jam were produced by Jada, who then evenly distributed the jam across 4 containers.

jam content of each container.

= 55 cups / 4 container

= 13.75 cups / 1 container

This indicates that there are 13.75 cups of jam in each container.

55 cups of jam are divided into 4 equal containers in this manner.

13.75 cups / 1 container

The amount of jam in each container is 13.75 cups of jams.

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The minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738

A company's unit cost is the cost of producing, storing, and selling one unit of a specific product. Unit costs encompass all fixed and variable production costs. A cost unit is a quantity measuring unit for a product or service.

A unit cost is the overall cost incurred by a business to manufacture, store, and sell one unit of a specific product or service. Unit costs are the same as cost of goods sold (COGS). This accounting metric incorporates all fixed and variable expenses related with the manufacture of a good or service.

Given,

C(x)=1.2x²-600x+82,738

Minimum value [tex]C_{min}[/tex]=c-(b²/4a)

Where a=1.2, b=-600, c=82738

[tex]C(x)_{min}[/tex]=82738-((-600)²/4(1.2))

=82738-(360000/4.8)

=7738

Therefore, the minimum unit cost is 7738.

Hence, the minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738

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Number of kids ticket is 40

What do you mean by system of linear equation?

A set of two linear equations with two variables is a system of linear equations. There are infinitely many possible solutions to a linear equation with two variables. There can be a single solution to a system of two linear equations with two variables that satisfies both solutions. It is necessary to combine two equations with two variables into one equation with one variable while solving a system of equations.

Total number of tickets = 60

Cost of 1 kid ticket = $3

Cost of 1 adult ticket = $5

Total profit = $220

Let number of kid tickets = x

number of adult tickets = y

According to question:

x + y = 60 ......(1)

3x + 5y = 220 ........(2)

Substitute the value of x from eq(1) to eq(2)

3(60 - y) + 5y = 220

180 - 3y + 5y = 220

180 + 2y = 220

2y = 220 - 180

2y = 40

y = 40/2

y = 20

Substitute this value of y in eq(1)

x + 20 = 60

x = 60 - 20

x = 40

Therefore, number of kids ticket is 40

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Rachel's total income is $13320.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales.

Commission = 9 x 0.04 = $0.36

Commission on 36000 cars = $12960

By working 40 hours he earn = 9 x 40 = $360

Hence, the total income = 360+ 12960 = $13320

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Answer:

Step-by-step explanation:

a(n) = a(1) + (n-1)d

a(n) = -9 + (n-1) x (-6-(-9)

a(n) = -9 + (n-1) x (-6 +9)

a(n)=  -9 + (n-1) x 3

a(n) = -9 + 3n - 3

a(n) = 3n - 12

a(30) = 3 x 30 - 12

a(30) = 90 - 12

a(30) = 78

Answer:

Step-by-step explanation:

Answer= use 2 eggs per 1 cup of flour to make 1 serving.

Answer:

90°

Step-by-step explanation:

Note that the sum of the exterior angles of an octagon is 360°. Therefore we can say:

x+2x+3x+4x+5x+7x+8x+10x=360

40x=360

x=9

10x° is the largest exterior angle and x=9, so 10x°=90°

Hope this helps :)

Answer:

11.66

Step-by-step explanation:

10^2 + 6^2 = Z^2

100 + 36 = Z^2

136 = Z^2

sqrt(136) = Z

sqrt 136 = 11.66

The sampling technique used in the given scenario is Systematic sampling technique.

Systematic sampling technique

Systematic sampling is a probability sampling technique in which researchers randomly choose individuals of a population at regular intervals. The sampling interval, or fixed periodic interval, is calculated by dividing the population size by the required sample size.

Types of Systematic sampling technique

A systematic sample can be generated in three ways:

Systematic random sampling: The most common type of systematic sampling in which the subject is chosen at a predefined interval.

Linear systematic sampling: Instead of picking the sample interval at random, a skip pattern is constructed by following a linear path.

Circular systematic sampling: It occurs when a sample begins from the same spot where it ends.

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Answer:

hi do you mind making the question a bit clear? where is the table?

Step-by-step explanation:

The equation of the line that passes through the points (4, -8) and (7,-8) is 5.33x + y = 13.22.

What is linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given two points,

(x1 = 4 ,y1 = -8) and (x2 = 7, y2 = -8)

The equation's general form will be written first:

y = mx + c

We may compute the slope of the equation (m) as follows:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{-8-8}{7-4}[/tex]

m = -16/3

m = -5.33

equation is y = -5.33x + c.

By entering the values of the x and y coordinates, we can now determine the value of the y-intercept (c):

For the point (4,-8),

-8 = -5.33(4) + c

-8 = -21.32 + c

c = 13.32

So the equation become ;

y = -5.33x + 13.32

or, 5.33x + y = 13.22

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Answer:

Step-by-step explanation:

Ok:

If the two books together costs $28.48 and one of them cost $7.44 Subtract to get the other book's price

2. 28.45-7.44=$21.01

3. Answer: The cost of the other one is $21.01

The problem is based on laws of exponents and answer to this Question is a = 2 and b = 14

What are laws of exponents?

Laws which are used to solve the problems including the exponents are called laws of exponents

Solution:

As we can clearly see in whole expression 2 is present in every term

By laws of Exponents we can take 2 common out and we can easily express this thing in given form that a multiplied 2 rays to power b

When we solve this expression we get

this expression equal to 2^15

which we can write 2×2^14

hence on comparing we get a = 2 and b = 14

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From the given Venn diagram, the value of  M∩N={4,7}.

A Venn diagram is a prominent diagram type that depicts the logical relationship between sets. It was popularized in the 1880s by John Venn (1834-1923). The diagrams are used to teach elementary set theory and to show simple set relationships in probability, logic, statistics, linguistics, and computer science. To depict sets, a Venn diagram uses basic closed curves drawn on a plane. These curves are almost often circles or ellipses.

Before Venn, similar concepts had been presented. Similar ideas were proposed by Christian Weise in 1712 and Leonhard Euler (Letters to a German Princess) in 1768. Venn popularized the concept in Symbolic Logic, Chapter V "Diagrammatic Representation," 1881.

The intersection of two sets is the set of all the elements that are shared by both.

M={4,7,9,3}

N={4,7,6}

Because M and N share the numbers 4 and 7, M∩N={4,7}.

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Answer:

attached in the file