Each column of the matrix (blank) represents a vertex of a triangle. If Bella scales the triangle by finding 3T, what are the vertices of the scaled triangle?

a=9/14

b=32/8

c=25/13

That is the answer for these questions.

The compound inequality representing the range for the skull size of cats is: 39.32 ≤ x ≤ 43.01.

To find the compound inequality that represents the range for the skull size of cats, we need to solve the given compound inequality:

8 ≤ 1.03x - 32.4 ≤ 12

Let's solve it step by step:

Add 32.4 to all parts of the compound inequality:

8 + 32.4 ≤ 1.03x - 32.4 + 32.4 ≤ 12 + 32.4

40.4 ≤ 1.03x ≤ 44.4

Divide all parts of the compound inequality by 1.03 (the coefficient of x):

40.4/1.03 ≤ (1.03x)/1.03 ≤ 44.4/1.03

39.32 ≤ x ≤ 43.01

Therefore, the range for the skull size of cats can be represented by the compound inequality:

39.32 ≤ x ≤ 43.01

Rounded to the nearest hundredth, the compound inequality representing the range for the skull size of cats is:

39.32 ≤ x ≤ 43.01

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Compound interest, also known as interest on principal and interest, is the practice of adding interest towards the principal amount of a loan or deposit.

The yearly interest rate is raised to the amount of compounded periods minus one, and the starting principal amount is multiplied by both of these factors. The resulting value is subsequently deducted from the loan's entire original amount.

P = $5,000 for the principle (initial investment)

Annual interest rate equals 0.03 (as a decimal)

t = the number of years (10).

Euler's number is e = 2.718281.

A = the sum at time t, or A = P·(e(rt))

\(\sf A = 5000(2.718281^{(0.03\times10)})\)

\(\sf A = \$6,749.29\)

After 10 years, you'll have $6,749.29 in your account.

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Answer:

60

Step-by-step explanation:

If he gave 15 grapes to his friends and he has 45 left, add 15+45 to get 60.

Initially, Takehiko has 60 grapes before sharing their grapes to his friends.

Given that,
Takehiko brought grapes to school. He gave 15 of his grapes to his friends. If he is left with 45 grapes, how many did he bring to school is to be determined

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
He gave  grapes to his friends and left with grapes, So
The total grapes he had  =  45 + 15 = 60

Thus, Initially, Takehiko has 60 grapes before sharing their grapes with his friends.

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Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

We can show this in the following formula:

m2 = -1 / m1, where

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

-1 (y = 7x)

-y = -7x

----------------------------------------------------------------------------------------------------------

    -y = -7x

+

    y = -4x + 3

----------------------------------------------------------------------------------------------------------

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

Answer:618.014

Step-by-step explanation: It may look like hundredths which is where must people mess up but it is instead thousandths.

Answer:

4250 m

Step-by-step explanation:

1 day = 850

5 days = 850×5

= 4250

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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Answer:

B. 40

Your question is:

232 + −124 + −68? 108 40 −40 −192.

Let's first break everything down into this problem.

232 + -124 =

108.

( When you are adding positive numbers and negative numbers, it will be the same as subtracting two positives. )

108 + -68 =

40.

/\ Same thing just like I said on top /\.

Thus your answer is B:

40

Answer:

B

Step-by-step explanation:

Answer:

C: y=2x-4

Step-by-step explanation:

pls mark brainliest

a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

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woah!!!

what's this bro

pls tell me the subject name then I will research

Answer:

subject.............

Step-by-step explanation:

name..................

Answer: p.e.m.d.a.s

Step-by-step explanation: parenthese, exponent, multiplication, division, addition, subtraction

Answer:

You can follow the P.E.M.D.A.S.

Step-by-step explanation:

If you need an explanation for this, the P.E.M.D.A.S are a way to remember the Order of Operations. We can explain this with a simple equation, such as:

4/2+(3*2)-2^2

To begin with, we need to start with the Parentheses. Three times two is equal to six, so now the equation looks like this:

4/2+6-2^2

After that, you need to move onto the Exponents. Two to the power of two (marked with the ^) is four, so we replace 2^2 with a 4.

4/2+6-4

Next, we do the Multiplication and the Division. Since there's no multiplication involved with this particular problem, we'll go right onto the division. 4/2 is equal to two, so you replace that with a simple 2.

2+6-4

Now, lastly you wrap up by doing the Addition and the Subtraction. 2+6-4 is equal to 8-4, and the answer is ultimately 4. A reminder is that you always need to go left to right no matter what or else your solution will most likely be wrong.

I hope this helps! Marking as Brainliest would be highly appreciated. Have a wonderful day. :)

A point can be defined as a zero dimensional geometric object and it is generally represented by a dot.

A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric figures such as equilateral triangles, planets in our solar system, etc.

Based on the graph of Figure 2 (see attachment), the distance between P and R is given by:

The length of PR = 6 units.

Based on the graph of Figure 1 (see attachment), the distance between B and D is given by:

The length of BD = 3 units.

Based on the graph of Figure 1 (see attachment), the distance between Q and S is given by:

The length of QS = 9 units.

The scale factor that takes Figure 1 to Figure 2 can be calculated as follows:

Scale factor = BD/QS

Scale factor = 3/9

Scale factor = 1/3 = 1:3.

Since GH is equal to 1 unit, the distance between the corresponding points on Figure 2 is given by:

Distance = 3 units.

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In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:

Step 1: Plot the data on a scatterplot.

Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.

Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.

Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.

Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.

Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.

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Answer: 99.8

Step-by-step explanation:

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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(a) The mean of the data item from the group data is 161.

(b) The deviation from the mean for each data is -6,-5,1,3 and 7. respectively.

(c) The sum of the deviation is 0

Grouped data are data formed by aggregating individual observations of a variable into groups, so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.

(a) To find the mean of the data, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

(b) To calculate the deviation from the mean (M') for each of the data item we use the formula below.

M' = x-M

For data 115,

For data 156,

For data 162,

For data 164,

For data 168,

(c) The sum of the deviation is

Hence, the mean, the diaviation from the mean is -6,-5,1,3 and 7  and the sum of the deviation of the data is 161 and 0 respectively,

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The equation that represents the relationship is y = 1/3x

The missing graph in the complete question is added as an attachment

From the question, we have the following points that can be used in our computation:

(x, y) = (0, 0) and (3, 1)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx

Using the points, we have

1 = 3m

Divide

m = 1/3

Substitute 1/3 for m in y = mx

y = 1/3x

Hence, the function of the relation is y = 1/3x

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Answer:40

Step-by-step explanation: Its 40 because to get to 60 it would be 3 x 20 which is 60 so if done to the other side it would be 40 fiction books so 40:60

Answer:

In fall 2019, female students made up 57 percent of total undergraduate enrollment (9.4 million students), and male students made up 43 percent (7.1 million students). Enrollment patterns for female and male students exhibited similar trends between 2009 and 2019.

Step-by-step explanation:

If (x + 8) is a factor of f(x), then the true statement is f(-8) = 0 .

In the question ,

it is given that , x \(+\) 8 is factor of f(x) ,

we have to select the correct option about f(x) from the given options .

When solving the polynomials, a factor of the polynomial gives the solution of  the polynomial.

that means , x + 8 = 0

So , x = -8 ,

So , it means that when x = -8 , then the value of the function f(-8) will be zero ,

which means that x = -8 will be a root of the given function f(x) .

Therefore , the true statement is f(-8) = 0 .

The given question is incomplete , the complete question is

If (x + 8) is a factor of f(x), which of the following must be true ?

(a) Both x = –8 and x = 8 are roots of f(x).

(b) Neither x = –8 nor x = 8 is a root of f(x).

(c) f(–8) = 0

(d) f(8) = 0

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Answer:

sept one

Step-by-step explanation:

Option (b) is the correct answer: Perpendicular segments.

Perpendicular rays, perpendicular segments, perpendicular lines, and parallel lines are important concepts in geometry that describe the relationship between lines and line segments.

1. Perpendicular Rays: Perpendicular rays are two rays that intersect at point and form a right angle (90 degrees) at the point of intersection. The rays extend indefinitely in opposite directions from the point of intersection.

2. Perpendicular Segments: Perpendicular segments are line segments that intersect at a right angle. They share a common endpoint but do not extend indefinitely like rays. The right angle is formed at the point of intersection.

3. Perpendicular Lines: Perpendicular lines are lines that intersect at a right angle. They continue indefinitely in opposite directions and form four right angles at the point of intersection. Perpendicular lines are often denoted by a symbol ⊥.

4. Parallel Lines: Parallel lines are lines that never intersect. They remain equidistant from each other at all points. Parallel lines have the same slope and do not converge or diverge. In Euclidean geometry, parallel lines are denoted by a double vertical line symbol (||).

Understanding these concepts is fundamental in geometry as they help define angles, shapes, and spatial relationships. The properties of perpendicular and parallel lines play a crucial role in various geometric theorems and applications.

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Answer: 60%.

Step-by-step explanation: As you can see, there are one hundred squares on the grid.  If you go by tens with the shaded part, you get 6 tens shaded, or 60 squares total.  60 is also equivalent to 60%, which is your answer.

Let me know if this is right! :)

Answer:

495

Step-by-step explanation:

using the definition

n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)

where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

then

12\(C_{4}\)

= \(\frac{12!}{4!(12-4)!}\)

= \(\frac{12!}{4!(8!)}\)

cancel 8! on numerator/ denominator

= \(\frac{12(11)(10)(9)}{4!}\)

= \(\frac{11880}{4(3)(2)(1)}\)

= \(\frac{11880}{24}\)

= 495

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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