The table how the quantity and unit price for the item Camillo bought. Total cot for bread:
$48. 75
Total cot for peanut butter:
$384
Total cot for jelly:
If he would have pent $986. 50 without better-buy unit price, how much money did he ave?

The value of x will be;

⇒ x = 3

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now,

All the sides are given in figure.

By definition of proportionality, we get;

⇒ 3 / (6x - 2 - 10) = (3 + 5) / (6x - 2)

Solve for x as;

⇒ 3 / (6x - 12) = 8 / (6x - 2)

⇒ 3 (6x - 2) = 8 (6x - 12)

⇒ 18x - 6 = 48x - 96

⇒ 96 - 6 = 48x - 18x

⇒ 90 = 30x

⇒ 30x = 90

⇒ x = 90/30

⇒ x = 3

Thus, The value of x will be;

⇒ x = 3

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The zeros of the polynomial P(x) = x³ + 7x² - x - 7  is  1 , - 1 , - 7 .

In algebraic expressions, exponents may have rational values. A polynomial, on the other hand, is an algebraic assertion with a whole number exponent on any variable. The places where a polynomial turns 0 are referred to as its zeros.

P(x) = x³ + 7x² - x - 7

Now we have to find one zero of given polynomial.

By hit and trial, we get

P(-7) = (-7)³ + 7 (-7)² - (-7) - 7

        = 0

Hence we get one zero = -7

So, -7 is the roots of the equation.

Now, by factorisation :

   P(x) = x³ + 7x² - x - 7

           = x² ( x+7 ) - 1 ( x+3 )

            = (x² - 1) ( x+7 )

            = ( x-1 )( x+1 )( x+7)

Hence the zeros of the polynomial is 1 , - 1 , - 7.

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All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)

P(x) = x3 + 7x2 − x − 7

The car travels 183 miles distance in 3 hours.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Distance travelled by car in 4/5 hour = 48⁴/₅ miles  or 244/5 miles.

To find distance travelled by car in 3 hours, use ratio property,

4/5 hours = 244/5 miles

⇒1 hour = 61 miles

⇒3 hours = 61×3 = 183 miles

The distance covered by car in 3 hours is 183 miles.

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Answer:7

Step-by-step explanation:

100/20 = 5

35/5 = 7

The true statement regarding statistical plan is Transaction-based plans better support the business need for data

The term statistical plan refers to the document that a statistical organization uses to specify the data items that must be provided to the organization as well as the format in which the data must be reported.

The statistical analysis plan SAP includes information on the scope, population definitions, and methodology of planned analyses. The SAP should be built before any such data analysis because it is essential for directing them.

Hence The statement that transaction-based plans better meet the business demand for data is true with relation to statistical plans.

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The required expression for

[tex]log_5(\frac{x}{4} )^2[/tex] = 2 [tex]log_5[/tex] x - 2 [tex]log_5[/tex] 4.

Given,

In the question:

The expression is given as:

Log subscript 5 baseline (startfraction x over 4 endfraction) squared

To find the which expression is equivalent?

Now, According to the question:

The expression is given as:

[tex]log_5(\frac{x}{4} )^2[/tex].

We know that from the properties of logarithm, the following identities

[tex]log m^n = n log m...(1)\\\\log\frac{m}{n} = log m - log n .....(2)[/tex]

Now,  [tex]log_5(\frac{x}{4} )^2[/tex] = 2 log [tex]\frac{x}{4}[/tex] (using 1 identity)

Again, Using (2) identity we get,

[tex]log_5(\frac{x}{4} )^2[/tex] = 2 [tex]log_5[/tex] x - 2 [tex]log_5[/tex] 4.

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The horizontal force exerted on the skater 1170 N.

The diameter of the semicircular portion of the track is 16 m.

Therefore its radius is

r = 8 m.

The tangential velocity of the skater is 12 m/s.

Therefore the angular speed is

ω = v/r = (12 m/s)/(8 m) = 1.5 rad/s

The horizontal force on the skater is due to centripetal acceleration of

a = r*ω² = (8 m)*(1.5 rad/s)² = 18 m/s².

The force acting on the 65-kg skater is

F = m*a = (65 kg)*(18 m/s²) = 1170 N

Therefore, the horizontal force exerted on the skater 1170 N. The correct answer is 1170 N.

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The correct response is 110.

Consider two numbers that are inside 1000.

324 and 434 are these two numbers.

As a result, for any number abc, the terms a, b, and c each have a place value of 100, 10, and 1.

We will therefore add the corresponding digits and multiply them by their place value when adding the two numbers abc and def.

In order to add 324 and 434, we will

(3+4)×100 + (2+3)×10 + (4+4)×1

The solution is 700+50+8=758.

This is equivalent to (324 + 434 = 758)

Similar steps apply for subtraction; simply choose the larger number and continue the same procedures, changing the + sign in the inner bracket to a -.

(4-3)×100 + (3-2) (3-2)×10 + (4-4)×1

Therefore, the correct response is 110.

This equals (434-324) = 110.

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the answer is -6x and the equation is equivalent

Answer:

-19y+20y=-6

Step-by-step explanation:

and means plus so its would be -19y+20y

is=equal sign so -19y+20y=-6

The function of the length 'x' in meters of the side parallel to the wall is A(x) = x/2(210 - x)

What are perimeter and area?

While area describes the space it occupies, perimeter describes how far the shape's edge extends. A shape's perimeter is its entire circumference. The region that an object's shape defines as its area.

Given, perimeter (P) = 210 meters ........... (i)

Let the length parallel to the wall be 'x' and the width be 'y'

So, the perimeter of the fence is

P = 2y + x ............... (ii)

From eq. (i) & (ii), we get

210 = 2y + x

or, y = 1/2(210 - x)

The area of the wall is calculated as:

A = xy

or, A = x * 1/2(210 - x)

or, A = x/2(210 - x)

Rewrite as

A(x) = x/2(210 - x)

Hence, the function of the length 'x' in meters of the side parallel to the wall is A(x) = x/2(210 - x)

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Answer:

x = 3

y = 2

Step-by-step explanation:

x + 2y = 7 and

13 - 5y = x

transfer x to the left side and 13 to the right side of the equation for the second equation:

-x - 5y = -13 now find the sum of both equations:

x + 2y - x - 5y = 7 - 13 add/subtract like terms

-3y = -6 divide both sides by -3

y = 2

To find the value of x replace y with 2:

x + 2*2 = 7

x + 4 = 7 subtract 4 from both sides

x = 3

To solve a system of linear equations without graphing, you can use the substitution method.

How do you solve a system of equations without graphing?

To solve a system of linear equations without graphing, you can use the substitution method. This method works by solving one of the linear equations for one of the variables, then substituting this value for the same variable in the other linear equation and solving for the other variable.

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The blackbody surface area cools down the area according to time dependent temperature (t)

Radiation that is incident on an object is partially absorbed and partially reflected. At thermodynamic equilibrium, the rate at which an object absorbs radiation is the same as the rate at which it emits it.

    Therefore, a good absorber of radiation - any object that absorbs radiation, is also a good emitter. A perfect absorber absorbs all electromagnetic radiation incident on it; such an object is called a blackbody.

     The temperature (T) of the object that emits radiation, or the emitter, determines the wavelength at which the radiated energy is at its maximum. For example, the Sun, whose surface temperature is in the range between 5000 K and 6000 K, radiates most strongly in a range of wavelengths about 560 nm in the visible part of the electromagnetic spectrum. The body, when at its normal temperature of about 300 K, radiates most strongly in the infrared part of the spectrum.

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The equation of the  circle , with diameter  DEis (x - 5)² + (y - 7)² = 80

An equation is an expression that appears as the relationship between two or more variables and numbers. since the  standard equation  for a circle  is (x - h)² + (y - k)² = r², where    (h, k)  is the center of the circle and r is the radius. It is given that the diameter of the circle is at D(-3, 3) and E(13, 11). So the coordinate of the center is:

h = (13 + (-3))/2 = 5

k = (3 + 11)/2 = 7

(h, k) = (5, 7) and the  Radius is diameter / 2 = 8√5 ÷ 2 = 4√5.

the equation will be : (x - 5)² + (y - 7)² = (4√5)² => (x - 5)² + (y - 7)² = 80

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Answer:

(x - 5)² + (y - 7)² = 80

Step-by-step explanation:

The opportunity cost for the Congo to produce additional diamonds is; 4 thousand units of corn.

Opportunity costs are defined as the benefits of an alternative decision when the decision maker is made to reject the alternative.

For example, the opportunity cost of going to college would be the earnings forgone.

The opportunity cost is calculated as the lost benefit when an alternative decision is not followed up.

Fractionally, we can say that the opportunity cost of producing one product A) to another (B) = Units of B/Units of A.

From the attached table, we can deduce the following;

United States opportunity cost to produce diamonds = 60/10 = 6

United States opportunity cost to produce corns = 10/60 = 1/6

Congo's opportunity cost to produce diamonds = 20/5 = 4

Congo's opportunity cost to produce corn = 5/20 = 1/4

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Answer:

26!

Step-by-step explanation:

let's firstly convert the mixed fraction to improper fraction.

[tex]\stackrel{mixed}{4\frac{1}{3}}\implies \cfrac{4\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{13}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{3}\cdot 6\implies \cfrac{13}{3}\cdot \cfrac{6}{1}\implies \cfrac{13}{1}\cdot \cfrac{6}{3}\implies \cfrac{13}{1}\cdot\cfrac{2}{1}\implies \text{\LARGE 26}[/tex]

The total amount of money that she borrowed would be= $227.

A credit union could be defined as the union that identifies am individual as their members and there offer financial assistance to such an individual.

The number of gifts bought by Mr Steven = 5 identical gifts.

The price for each gift = $80

The total money that Mr Steven spent on gift = 5×80 = $400.

The amount paid was 1/2 of total cost = 1/2×400 = $200

The amount of money she borrowed for her credit union is calculated using simple interest formula;

si = P*T*R/100

si = 200×1.5 × 9/100

si = 2700/100

si = $27

The amount borrowed= 200+27 = $227.

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The line declines from the left to the right, therefore the slope is negative.

Slope = -1.

The slope of the line is the rise of a line over its run, which is given as:

Slope (m) = change in y / change in x.

If a line decreases or declines from the left to the right, then the slope is said to be a negative slope.

The line in the graph shows it is a declining from the left to the right, therefore, it is a negative slope.

Slope of the line = rise/run = -4/4

= -1.

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The mean of the numbers means that it is average of the given numbers.

According to the question,

We have the following information:

Mean of the numbers

We know that the mean of a given data set means that we add all the numbers in data set and divide the obtained result by the total numbers.

For example, we have a following data set:

2,5 and 8

Total numbers in the set = 3

Now, the mean of these numbers will be:

Mean = (2+5+8)/3

Mean = 15/3

Mean of the numbers = 5

So, in other words, it can be expressed as the average of the numbers.

Hence, the mean of the numbers means that it is average of the given numbers.

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Therefore, the national population growth rate in the United States in 2017 was 0.72%.

Growth rate is a metric for determining how quickly a variable has changed over time. It is usually represented as a percentage and is frequently used to calculate the rate of change in economic indicators such as GDP or the rate of inflation. Growth rate may also be used to quantify the rate of change in biological or population processes, such as the growth of an organism's population or the expansion of the size of a tumour. In general, a high growth rate is positive and indicates that a variable is increasing quickly, whereas a low growth rate is considered negative and suggests that a variable is increasing more slowly or may even be decreasing.

How to solve?

Population growth rate = (CBR - CDR + net migration rate) / 10

Population growth rate = (11.8 - 8.5 + 3.9) / 10

Population growth rate = (11.8 - 8.5) + 3.9 / 10

Population growth rate = 3.3 + 3.9 / 10

Population growth rate = 3.3 + 3.9

Population growth rate = 7.2 / 10

Population growth rate = 0.72 %

Therefore, the national population growth rate in the United States in 2017 was 0.72%.

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In a multiple regression problem involving two independent variables, if b1 is computed to be 2.0, it means that B. the estimated mean of y increases by 2 units for each increase of 1 unit of x1, holding x2 constant

Multiple regression is a statistical technique for examining the relationship between a single dependent variable and a number of independent variables. The goal of multiple regression analysis is to use known independent variables to predict the value of a single dependent variable.

Multiple regression predicts the value of one dependent variable by taking into account the values of the available multiple independent variables. For example, suppose a researcher decides to study the performance of students at a school over time.

In this case, the correct option is B.

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When you do not recognize a power of 4 which it equals 128 then the proper technique to solve this equation 4x=128 is; Find intersections on the graph of y = 4ˣ and y = 128.

Consider the given equations;

y = 4ˣ and y = 128

Since, the power of 4 equals 128 is unknown.

Thus, draw the graph of equation  y = 128. and y = 4ˣ .

Consider the intersected point from the graph.

Thus, when you do not recognize a power of 4 which it equals 128 then the proper technique to solve this equation 4x=128 is;

Find intersections on the graph of y = 4ˣ and y = 128.

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Cluster Sampling method , is the required method .

Because the population is split into two separate groups in two different ways.

In a given problem, a survey says that a sample is selected by dividing the population into the gifts of votes, and we need to figure out how to sample. This is called cluster sampling. Analysts are run using a sample her cluster.

Cluster Sampling Method:

In cluster sampling, researchers divide the population into smaller groups called clusters. Then randomly select from these clusters to form a sample. Cluster sampling is a probabilistic sampling technique commonly used to study large populations, especially those that are geographically dispersed.

How to cluster the samples

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if a single card is picked and if it is blue card then the probability is 6 / 19 .

Probability means possibility of happening of event, it varies from 0 to 1.

Generally it helps us in determining odds of this situation. Probability expresses that situation.

Probability is defined as the the number of favourable outcomes to the total number of outcomes.

Red Cards = 1, 2, 3, 4

Blue Cards = 1, 2, 3, 4, 5, 6

Green Cards= 1, 2, 3, 4, 5, 6, 7, 8, 9.

Now,

Total number of cards = 19

P ( Blue card ) =  [tex]\frac{Number of blue cards}{Total number of cards}[/tex]

                        =   6 / 19

Hence, if a single card is picked and if it is blue card then the probability is 6 / 19 .

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The co-ordinates of point Y and Z are (-1,-1) and (5, 0).

What is co-ordinates?

In geometry, a coordinate system could be a system that uses one or additional numbers, or coordinates, to unambiguously confirm the position of the points or alternative geometric components on a manifold like Euclidean space

Main body:

According to given information:

X (0,2) is translated to the point X(1,-3).

so the translation is 1 to right and 5 below

A) y(-2,4)

as the translation is 1 to right and 5 below

hence Y is (-1,-1).

B) Z (4,5)

as the translation is 1 to right and 5 below,

Z = (5,0)

Hence, co-ordinates of point Y and Z are (-1,-1) and (5, 0).

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Answer:

45 hotdogs

Step-by-step explanation:

if he eats 1 hot dog every 20 seconds he will eat 3 hotdogs in a minute (20x3=60seconds aka a minute) so you multiply that by 15 and you get 45

If you have more than one quadratic predictor in your model, you can test them all at the same time using the partial F-test. This statement is True.

What is partial F-test?

A partial F-test is used to determine whether or not there is a statistically significant difference between a regression model and some nested version of the same model.

A nested model is simply one that contains a subset of the predictor variables in the overall regression model.

Partial F-test is a statistical analysis used in multivariate linear regression to determine independent variables are to be considered when fitting a multivariate linear regression mode.

This is necessary because if too many variables are considered, then the model would be too complex. On the other hand, if too few variables are used, then we may get a very weak fit.

Hence if you have more than one quadratic predictor in your model, you can test them all at the same time using the partial F-test.

The given statement is true.

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According to the Side-Angle-Side Theorem (SAS), two triangles are congruence if their two sides and the angle between them are equal to those of another triangle's two sides and angle.

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and shape.

If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

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The 10 multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 when we can just write the table of 3 all terms.

Given that,

We have to find the 10 multiples of 3.

We know that,

We can find the multiples of a number by counting the digits. A multiple in mathematics refers to the outcome or output of multiplying two numbers together.

The Least Common Multiple is the smallest common multiple of two or more numbers (Least Common Multiple).

The 10 multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.

Therefore, The 10 multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 when we can just write the table of 3 all terms.

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