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Answer:

4

\(6x - 4x = 8 + 10\)

\(2x = 18\)

\(x = 9\)

Answer:

4

Step-by-step explanation:

The algorithm justifies the answer of 3/5 as the fraction each person gets.

Representation of the fractions on the second row:

From what you described, two of the loaves were divided into thirds.

This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.

Therefore, each person receives one fifth from this remaining third.

So, the representation of the fractions on the second row would be:

Each person receives 1/3 (one third) from the two loaves.

Each person receives 1/5 (one fifth) from the remaining third.

Algorithm/Abstract strategy to justify the 3/5 found as the answer:

To find the final answer of 3/5, we can follow the steps you provided:

Divide two loaves into thirds, giving each person 1/3.

Divide the remaining third from the second loaf into fifths, giving each person 1/5.

Combining the fractions, each person has 1/3 + 1/5.

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:

1/3 = 5/15 (multiplying numerator and denominator by 5)

1/5 = 3/15 (multiplying numerator and denominator by 3)

Now, we can add the fractions:

5/15 + 3/15 = 8/15

Therefore, each person receives 8/15 of a loaf.

Simplifying this fraction, we get 3/5.

Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.

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Answer:

3log(z)/2−2log(x)−5log(y)

Step-by-step explanation:

\(f(x) = 2x is linear.f(x) = 4^x is exponential.\) This is where at each level, each branch extends into 4 branches.

In the first prompt, the number of boxes in each row is increasing by a constant amount, so the function is linear. In the second prompt, the number of branches is increasing by a factor of 4 with each level, so the function is exponential.

A linear function is defined as one where the output increases by a constant amount for each increase in the input. An exponential function is defined as one where the output increases by a constant factor for each increase in the input. The first prompt corresponds to a linear function, while the second prompt corresponds to an exponential function.

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The complete question is-

Is the function f(x) = 4^x, where x is the number of branches at level x in a tree diagram, linear or exponential? Explain your answer.

Answer:

12 cm^3

Step-by-step explanation:

Volume of one cube is 1/2 * 1/2 * 1/2 = 1/8 cm^3Volume of prism is 1/8 * 96 = 12 cm^3

Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

Answer:

-36

-3y

Step-by-step explanation:

F

Answer:

(4,-7)

Step-by-step explanation:

y=4x-9

y+3=x

y=4(y+3)-9

y=4y+12+9

y=4y+21

y-4y=21

-3y=21

y=-7

Now use y to find x

y+3=x

-7+3=4

x=4

Predictions involving the use of more than one dependent variable and the sampling technique related to assigning samples to a certain number of groups utilize multiple regression and cluster sampling respectively.

Regression models are used to make prediction models based on a set of a given independent and dependent variables. When the dependent variables to be used is more than one, then a multiple regression model should be adopted. In the case of just one dependent variable, the model adopted ls a linear regression model.

Hence, the multiple regression technique should be adopted.

Cluster sampling technique involves the used of a certain number of points called clusters upon which samples or variables of related elements are grouped together. Therefore, in these scenario, the 10 showing of the fim are clusters and attendees related to each showings are the cluster samples.

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If Point A is located at (1, 2) and Point B is located at (4, 6), the length of the line between points A and B is 5 units.

To determine the length of the line between points A and B, we can use the distance formula, which is a formula used to calculate the distance between two points in a coordinate plane. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.

Using the coordinates of points A and B, we can substitute their values into the distance formula to find the length of the line between them:

d = √((4 - 1)² + (6 - 2)²)

d = √(3² + 4²)

d = √(9 + 16)

d = √25

d = 5

Rounded to the nearest whole number, the length of the line is also 5 units.

In conclusion, we can use the distance formula to find the length of the line between two points in a coordinate plane. The distance formula uses the coordinates of the two points to calculate the distance between them. The resulting distance can be rounded to the nearest whole number, if needed.

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The value in the data set varies from 12 by an Average of 4.

The mean of the data set is 12 and the mean absolute deviation is 4.

Option 1: Each value in the data set varies from 12 by exactly 4.

This statement cannot be concluded based on the given information. The mean absolute deviation measures the average distance between each data point and the mean. It does not imply that each value varies by exactly 4 from the mean.

Option 2: Each value in the data set varies from 12 by an average of 4.

This statement is true. The mean absolute deviation of 4 indicates that, on average, each data point deviates from the mean by 4 units. It does not necessarily mean that each value varies by exactly 4, but the average deviation is indeed 4.

Option 3: No values in the data set are less than 8 or greater than 16.

This statement cannot be determined based on the given information. The mean and mean absolute deviation do not provide information about the specific values in the data set. It is possible for some values to be less than 8 or greater than 16 while still maintaining a mean of 12 and a mean absolute deviation of 4.

Option 4: Half of the values in the data set are 8, and half of the values in the data set are 16.

The  value in the data set varies from 12 by an average of 4.

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Answer:

  reflect over the x-axis and shift down 3

Step-by-step explanation:

The leading coefficient of -1 means the graph is reflected over the x-axis. The addition of -3 to the function means each graphed point is shifted down 3 units from the original.

The graph of y = -x^2 -3 is the result of the transformation ...

  reflect over the x-axis and shift down 3

Answer:

\(\frac{3}{8}\) miles

You have to walk \(\frac{3}{8}\) more miles to get to the shoe store.

Step-by-step explanation:

So first, we have to convert the \(\frac{1}{4}\) to a fraction that has a denominator of 8, which we are going to multiply 2 on both top & bottom. Equation-

\(\frac{1}{4}\) * \(\frac{2}{2}\) = \(\frac{2}{8}\)

And then, the house to shoe store is \(\frac{5}{8}\) miles as we know from the question. We subtract the distance by  \(\frac{2}{8}\), because that is how much we've walked already. And we know that when we are subtracting fraction, we need to make sure the denominators are the same and we ONLY subtract the numerator. So the equation would be like this-

\(\frac{5}{8}\) - \(\frac{2}{8}\) = \(\frac{3}{8}\)

And we got the answer- \(\frac{3}{8}\) miles

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Answer:

The sequence of transformations are;

A translation by 1 unit left, followed by a reflection across the x-axis

Step-by-step explanation:

Here, we want to know the transformation sequence

Let us select one point

J(1,4)

to J’(0,-4)

To translate 1 unit right means that we are subtracting the value of 1 from the x-coordinate

That leaves us with (0,4)

To get the change in the y-coordinate value to negative, it means that we have reflected over the x-axis

x-axis reflection turns (x,y) to (x,-y)

So, the sequence of transformations that maps the two is;

A translation by 1 unit left followed by a reflection across the x-axis

Answer:

translation 1 unit left, then 180 degrees

Step-by-step explanation:

J (1,4)

K (6,4)

L (1,1)

Moving it 1 unit left,  x unit - 1

J (0,4)

K (5,4)

L (0,1)

Now, rotate it 180 degrees, (x,y) = (-x,-y)

J' (0,-4)

K' (-5,-4)

L' (0,-1).

Hence, the triangle JKL is transformed into triangle J'K'L' when a triangle JKL translates 1 unit to the left and then rotate 180 degrees about the origin.

The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

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The area of ΔQRS is 26.10 square units.

What is triangle?

A triangle is a closed, two-dimensional geometric shape with three straight sides and three angles.

To find the area of \($\triangle QRS$\), we can use the formula:

\($Area = \frac{1}{2} \times base \times height$\)

where the base and height are the length of two sides of the triangle that are perpendicular to each other. We can find these sides using trigonometry.

First, we need to find the length of side \($QR$\). We can use the Law of Cosines:

\($QR^2 = QS^2 + RS^2 - 2(QS)(RS)\cos(R)$\)

where \($R$\) is the angle at vertex \($R$\). Substituting the given values, we get:

\($QR^2 = 9^2 + 5^2 - 2(9)(5)\cos(57^\circ)$\)

\($QR \approx 8.02$\)

Next, we need to find the height of the triangle, which is the perpendicular distance from vertex \($R$\) to side \($QS$\). We can use the sine function:

\($\sin(R) = \frac{opposite}{hypotenuse}$\)

\($\sin(57^\circ) = \frac{height}{8.02}$\)

\($height \approx 6.51$\)

Now we can find the area of the triangle:

\($Area = \frac{1}{2} \times QR \times height$\)

\($Area = \frac{1}{2} \times 8.02 \times 6.51$\)

\($Area \approx 26.10$\) square units

Therefore, the area of \($\triangle QRS$\) is approximately \($26.10$\) square units.

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Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.

When m8 = m4, the line segments are parallel.

When two line segments have the same slope (m8 = m4), then the line segments are parallel. Therefore, the statement that the line segments are parallel can be deduced if m8 and m4 are equal.

When two line segments have the same slope, then they will be parallel to each other. This can be deduced when the slopes of both line segments are equal, which is represented by m8 = m4. If the two line segments have the same slope, then they will be parallel to each other and will never meet or intersect. This is because parallel lines always have the same slope and never touch each other. In conclusion, the statement that two line segments are parallel can be deduced if m8 and m4 are equal.

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Answer:

Gavin with 40 words per minute

Step-by-step explanation:

Stephan speed- 2700 words/90 minutes = 30 words per minute

Jim speed- 2450 words/70 minutes= 35 words per minute

Gavin 1600 words / 40 minutes= 40 words per minute

The rental cost in dollars per square foot is $11,00

Cost of renting 1.250 square feet = $13, 750 per month

Rental cost per square foot = Total renting cost / total renting area

= $13, 750 per month / 1.250 square feet

= $11,000

Hence, $11,000 is the rental cost in dollars per square foot.

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Answer:

D) 56

Step-by-step explanation:

\(\displaystyle \frac{8!}{(8-2)!}=\frac{8!}{6!}=\frac{8*7*6*5*4*3*2*1}{6*5*4*3*2*1}=8*7=56\)

Answer:

32 hours

Step-by-step explanation:

Given

\(Rate= \frac{3}{4}\ tons\ per\ hour\)

Required

Determine time taken for 24 tons

As used in this question, Rate is the ratio of tons of dirt to time.

i.e.

\(Rate = \frac{Tons\ of\ Dirt}{Time}\)

Let t represents time when tons of dirt is 24 tons:

\(Rate = \frac{24}{t}\)

Recall that: \(Rate= \frac{3}{4}\ tons\ per\ hour\)

So, we have

\(\frac{24}{t} = \frac{3}{4}\)

Cross Multiply

\(3 * t = 24 * 4\)

Divide both sides by 3

\(t = 8 * 4\)

\(t = 32\)

Hence, time taken is 32 hours

Answer:

Step-by-step explanation:

y + 50 = 180

y = 130

Based on the information given the new balance is $289.72.

First step is to calculate the finance charge

\(\text{Finance charge}=205.16\times(0.144\div12 \ \text{months})\)

\(\text{Finance charge}=205.16\times0.012\)

\(\text{Finance charge}=2.46\)

Second step is to calculate the New balance

\(\text{New balance}=205.16+2.46+82.10\)

\(\text{New balance}=\bold{\$289.72}\)

In conclusion, the new balance is $289.72.

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Answer: Y = 17  and X = 43

Step-by-step explanation:

p and r are parallel meaning both angles are the same.

So

3y = 51

divide them by 3

y = 17

Now we take 51 from 180 and we get 129

129 divided by 3x is

x = 43

At x =6 the function has a positive slope.

A function is a mathematical expression, rule, or law that describes the relationship between an independent variable and a dependent variable. At x = 2 and x = 6, the function y(x) is zero, and it has a value of 1 for all other values of x. the dependent variable. Functions are essential for building physical relationships in both math and science.

A function, which generates one output from a single input, is an illustration of a rule. origin of the image. An illustration of this is Y=X2.

But

At x = 2, the function starts to decline and has a negative slope. negative derivative

while

At x = 6, the function increases with a positive slope, producing a positive derivative.

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Answer: 266

Step-by-step explanation: One easy way to mentally calculate 464 - 198 is to do 98 - 64 which is 34 then subtract 100 from 400 which is 300 then minus 34 from 300 which is 266. PLS MARK BRAINLIEST IF I AM RIGHT ALL YOU HAVE TO DO IS RATE ANSWER 5 STARS

Probability of randomly selecting two members who currently hold positions of chairman and ranking member and reassigning them to their current positions from a committee of 14 members is (1 /182).

As given,

Total members in the committee=14

Number of members serve as chairman and ranking member=2

Total number of ways to assigned new position

=¹⁴P₂

=(14!) / (14-2)!

=(14 × 13 × 12!) / 12!

=14 ×13

=182

Each member is equally likely to serve in any of positions.

Each position there is only one way to reassign position.

Probability of randomly selecting two members = 1 /182

Therefore, probability of randomly selecting two members who currently hold positions of chairman and ranking member and reassigning them to their current positions from a committee of 14 members is (1 /182).

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Answer:

  D.  Each digit has a value 10 times the value of the digit to its right and 1/10 of the value of the digit to its left

Step-by-step explanation:

Digits increase in value by a factor of 10 for each place you move to the left. Hence a digit to the right has 1/10 the value.

_____

Comment on place value

The multiplier for a base-10 (decimal) number system is 10 as you move one place to the left. In some other base, the multiplier is that base. In a binary (base-2) number system, each "bit" increases in value by a factor of 2 as you move to the left.

Therefore, the "Choice D" is the only correct answer.

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