The Multiplication Law of Exponents says that for any numbers b, n, and m,
bbm=b+m
A. True
B. False

The equation written in point-slope form is:

y + 50 = (-1/3)*(x - 80)

A linear equation with a slope a that passes through a point (x₁,y₁) is written in the point-slope form as:

y -  y₁ = a*(x - x₁)

And the slope for a line that passes through  (x₁,y₁) and (x₂, y₂) is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we can identify the points (-70, 0) and (80, -50)

Then the slope is:

a = (-50 - 0)/(80 + 70) = -50/150 = -1/3

Using the red point (80, -50)

We can write the equation as:

y + 50 = (-1/3)*(x - 80)

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The equation to model the given work is 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.

The teams will share 5.4 liters of olive oil. To find out how much each team will receive, we can divide the total amount of olive oil by the number of teams:

5.4 liters ÷ 10 teams = 0.54 liters per team

However, it's usually more convenient to express this in grams for equation, so we need to convert liters to grams.

The conversion factor for olive oil is approximately 0.92 grams per milliliter (or 920 grams per liter). So, we can multiply 0.54 liters per team by 920 grams per liter to get:

0.54 liters per team × 920 grams per liter = 497.28 grams per team

Therefore, each team will receive 497.28 grams of olive oil as per the work.

Equation: 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.

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The decimal number 0.044 in the fraction form will be 11/250.

Given that:

Decimal number = 0.044

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Multiply and divide the decimal number by 1,000. Then we have

⇒ 0.044 x 1,000 / 1,000

⇒ 44 / 1,000

⇒ 11 / 250

The decimal number 0.044 in the fraction form will be 11/250.

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The two number of units need to be sold for the business to make a profit of $60 is A = 10 units

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

y = 0.3x² + 7x - 40

At profit of $ 60 , y = 60

60 = 0.3x² + 7x - 40

Subtracting 60 on both sides , we get

0.3x² + 7x - 100 = 0

Multiply by 10 , we get

3x² + 70x - 1000 = 0

And , roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

On simplifying , we get

x = [ -70 ± √ ( 70 )² - 4 ( 3 ) ( -1000 ) ] / 2 ( 3 )

x = [ -70 ± √ ( 4900 + 12000 ) ] / 6

x = ( -70 ± √16900 ) / 6

On simplifying the equation , we get

x = ( -70 ± 130 ) / 6

x = 10 or x = -100/3

The number of units cannot be negative , so x = 10 units

Hence , the values of x at the business has a profit of $ 60 is x = 10 units

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The shape of the data that we have here is skewed to the right

A dataset is considered to be right-skewed (sometimes known as excessively positive) when the greater portion of its data points are concentrated on the lower end, forming an asymmetrical distribution that has a long tail to the right.

As such, the mean (average) within these distributions generally surpasses the median in value, with the latter also exceeding the mode.

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Answer:

118 degrees because it’s opposite of angle M which is also 118

Step-by-step explanation:

pls mark brainliest

a. The value of the mean is µ = 15

The value of the standard deviation is 2.74

b. Values of 9.52 girls or greater are significantly low.

Values of 20.48 girls or greater are significantly high

c.  The result of 25 girls is significantly high because it is greater than 20.48.

a. The mean for the number of girls in a group of 30 births is:

a. µ = np

= 30(0.5)

The value of the mean is µ  = 15

The standard deviation is:

a. σ = √(np(1-p))

= √(30(0.5)(0.5))

The value of the standard deviation = 2.74 (rounded to two decimal places)

b. Using the range rule of thumb, we can say that significantly low results are those that are less than 15 - 2.74(2) = 9.52, and significantly high results are those that are greater than 15 + 2.74(2) = 20.48.

c. The result of 25 girls is significantly high because it is greater than 20.48. This suggests that the method may be effective in increasing the likelihood of having a girl.

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If Angel bought a $600 phone in Toronto instead of San Antonio, he pays $28.50 more sales tax, based on the subtraction operation.

Subtraction operation is one of the four basic mathematical operations, including addition, multiplication, and division.

Subtraction operation involves the subtrahend, the minuend, and the difference.

Sales tax rate in San Antonio Texas = 8.25%

Sales tax rate in Toronto Ontario = 13%

The cost of a phone bought by Angel = $600

The sales tax in dollars in San Antonio Texas = $49.50 ($600 x 8.25%)

The sales tax in dollars in Toronto Ontario = $78.00 ($600 x 13%)

The difference in tax between Toronto and San Antonio = $28.50 ($78.00 - $49.50).

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The incorrect statement regarding the dilation is given as follows:

3. The original figure was reduced to create the image.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

For this problem, we have that the original triangle was dilated by a scale factor of two, hence the original figure was enlarged to create the image.

(a figure is reduced when the scale factor is less than 1).

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The cost of cone is $4.66 and cost of sundaes $4.54.

Assume,

cost of 1 cone = x

cost of 1 sundaes = y

Then according to the question

5x + 8y = 59.82 ....(i)

7x + 6y = 59.62  ....(i)

Now from 7x(i)  - 5x(ii)

⇒ 26 y = 118.24

⇒      y = 4.54

Put value of y into (i),

⇒ 5x + 36.32 = 59.62

⇒               5x = 23.3

⇒                 x = 4.66

Thus, x = 4.66 and  y = 4.54

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The ordered pair is in the solution set of -1.25x - 5y < 2.5 is (-1, 0) and (-1,0)

The function of -1.25x - 5y < 2.5

(A) (-4, 0.5)

The value of x  = -4

The value of y = 0.5

-1.25(-4) - 5(0.5) < 2.5

5 - 2.5 < 2.5

2.5 < 2.5

Not true

(B) (1.5, 2)

The value of x  = 1.5

The value of y = -2

-1.25(1.5) - 5(2) < 2.5

-1.875 + 10  < 2.5

8.125 < 2.5

Not true

(C) (-1, 0)

The value of x  = -1

The value of y = 0

-1.25(-1) - 5(0) < 2.5

1.25 < 2.5

True

(D) (0,-1)

The value of x  = 0

The value of y = -1

-1.25(0) - 5(-1) < 2.5

+5 < 2.5

Not true

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The surface area of this cuboid is 130 cm^2

Cuboid is a closed three-dimensional structure surrounded by rectangular faces, which are rectangle plane sections.

How to determine this

The surface area of cuboid is the total area of all its 6 faces.

SA = 2{(Length * Height) + (Width * Length) + (Width * Height)

Where Length = 10 ft

Width = 5 ft

Height = 1 ft

SA = 2{(10*1) + (5*10) + (5*1)

SA = 2(10 + 50 + 5)

SA = 2(65)

SA = 2 * 65

SA = 130 ft^2

Therefore, the surface area of cuboid is 130 ft^2

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The values of the function will be 15, -69, 68 and 24

The function, f(x) = (-x)³ - x² - x + 15, is able to be evaluated with specific values of x. Taking the value of x as 0, the result is acquired to be f(0) = (-0)³ - 0² - 0 + 15 = 15, thus yielding a value of 15.

Substituting the number 4 in place of x yields f(4) = (-4)³ - 4² - 4 + 15 = -64 - 16 - 4 + 15 = -69. In this way, it can be deduced that the value for f(4) is -69.

Likewise, through substituting the value -4 instead of x into the f(x) expression, one can calculate f(-4): f(-4) = (-(-4))³ - (-4)² - (-4) + 15 = 64 - 16 + 4 + 15 = 67. This then shows that the response for f(-4) is 67.

Similarly, by adding together the evaluations for f(2) and f(-2), there will be a summation involving both numbers: f(2) + f(-2) = (-2)³ - 2² - 2 + 15 + (-(-2)³ - (-2)² - (-2) + 15). Consequently, when combined, the final addition renders 24.

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The equation has exactly one real solution is - 2.41.

Since the equation is an expression that shows the relationship between two or more numbers and variables.

There are an infinite number of x values so, these two can easily be ruled out. there is no solution because the x values cancel each other out.

6x + 13 = -6x - 16

6x + 6x = -16 - 13

12x = -29

x = -29/12

x = - 2.41

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Answer:

I think it will be 4x^2+4x+7/4x+1

correct me if I'm wrong

The mode of the given data set as required to be determined in the task content is; 17.

It follows from the task content that the mode of the given data set is to be determined.

Recall from definition that the mode of a given data set is the observation or data value which occurs most frequently; i.e with the highest frequency.in the data set.

On this note, since 17 appears most frequently in the data set; It follows that the mode is ; 17.

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Financial advantage (disadvantage) of making the 40,000 starters instead of buying them from an outside supplier is: $89,700.

Here, we have,

Financial advantage (disadvantage)

First step is to calculate the relevant cost of making starters

Relevant cost= Direct materials+ Direct labor+ Variable manufacturing overhead+ Supervision

Relevant cost=($4×69,000)+ ($3.20×69,000) +($0.60×69,000) + $117,300

Relevant cost=$276,000+$220,800+$41,400+$117,300

Relevant cost=$655,500

Second step is to calculate the relevant cost of buying starters

Relevant cost=$10.80 × 69,000

Relevant cost=$745,200

Third step is to calculate the financial advantage

Financial advantage=$745,200-$655,500

Financial advantage=$89,700

Therefore the financial advantage is $89,700.

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[tex]f(x)=2(3)^{x+1} \\\\[-0.35em] ~\dotfill\\\\ f(2)=2(3)^{(2)+1}\implies f(2)=2(3)^3\implies f(2)=2(3^3) \\\\\\ f(2)=2(27)\implies f(2)=54[/tex]

Answer:

y = 2x + 1.5

Step-by-step explanation:

You can find two points and derive an equation.

Two obvious points are (0, 1.5) and (2, 5.5).

Using the form y = mx + b, you can find the slope m by using the formula [tex](y_1-y_2)/(x_1-x_2)[/tex].

m = (1.5-5.5)/(0-2) = -4/-2 = 2.

You can find b by plugging in your m value and one of the two points.

y = 2x + b

1.5 = 2*0 + b

b = 1.5

Thus, your equation is y = 2x + 1.5.

The correct option is the last one, if the lines are parallel, the system has no solutions.

To solve a system of equations graphically, we need to graph both equations in the same coordinate axis and find the points where the two graphs intercept, these points are the solutions for the system.

so, if the two graphs never intercept, the system has no solutions, and that will be the case for two parallel lines (parallel lines don't intercept).

Then the correct option is the last one, a system of equations with two parallel lines has no solutions.

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If Lydia had ²/₃ of a bag of flour and she used ³/₅ of it to make loaves of bread, the fraction of the whole bag that she used was ²/₅.

A fraction is a portion or part of a whole.

Fractions are classified into proper, improper, and complex fractions, depending on the value of the numerator and denominator.

The fractional value of the bag of flour = ²/₃

The fraction of the bag that she used to make bread = ³/₅ of ²/₃

Comparatively, the proportion of the bag that she used was = ²/₅ (³/₅ of ²/₃)

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The word that best describes line segment ID in the image given showing a circle is: a chord.

A chord can simply be described as a line segment in a circle that connects two points on the circumference of a circle to each other.

The largest chord in a circle is a the diameter. A circle can have as many chords as possible.

Considering the image given above, ID is a line segment which connects points I and D which are on the circumference of the circle together. Therefore, ID can best be described as a chord.

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The value of x, y and z in the line is as follows:

x = 55°

y = 125°

z = 55°

When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.

Therefore, let's use the angle relationship to find the angles x, y and z in the line.

Hence,

y = 125 degrees(vertically opposite angles)

Therefore,

x = 180 - 125(angles on a straight line)

x = 55 degrees

Therefore,

x = z(vertically opposite angles)

Vertically opposite angles are congruent.

Hence,

z = 55 degrees.

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Answer:

To find the volume of a rectangular prism, we multiply its length by its width by its height.

Here, the length, width, and height are all 5 yards, so we have:

Volume = length x width x height

Volume = 5 yd x 5 yd x 5 yd

Volume = 125 cubic yards

Therefore, the volume of the rectangular prism is 125 cubic yards.

One shirt costs $6.99

One shirt costs $4.74

In the question that we have here we need to obtain the cost of a shirt. When we want to get the cost of just one item from the cost of a given number of the same item we are said to be  trying to obtain the unit cost.

Hence in this problem, we are trying to find the unit cost without adding the cost of the one-time design fee as such we are going to have in this case that;

Cost of one shirt in case 1 = $349.50/50 = $6.99

Cost of one shirt in case 2 =  $2370/500 = $4.74

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There is no calculation required. The bearing of U is 32° Southwest from T.

A bearing is the angle in degrees measured clockwise from north in mathematics. Bearings are often specified in three figures. 30° clockwise from north, for example, is generally represented as 030°.

Bearings are used to identify both the direction and the angle of a certain landmark. In surveying and aviation, a true bearing is the angle formed by a path or line with a fixed north-south line. A correct bearing ALWAYS measures clockwise from North. In a true bearing, for example, we would measure this obtuse angle and claim it has a bearing of °T.

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The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

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The equation 2x + (2x + 8) + x + (x - 32) = 360° can be used to solve for x which makes option D correct. The variable x for the arc angles is equal to 64.

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

The arcs together is the circumference of the circle O and they subtends the angle at the center of the circle which is 360° so;

2x + (2x + 8) + x + (x - 32) = 360°

6x - 24 = 360

6x = 360° + 24 {collect like terms}

6x = 384

x = 384/6 {divide through by 6}

x = 64

Therefore, the equation 2x + (2x + 8) + x + (x - 32) = 360° can be used to solve for x, and the variable x for the arc angles is equal to 64.

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