16.75 + 3.2d - 4 + 6d = 51.39

Answer:

a)   PQ = 12.2

b)   M (-1, 2.5)

Step-by-step explanation:

a) PQ

use pythagorean PQ = [tex]\sqrt{(6+4)^2 +(6+1)^2}[/tex]

PQ = [tex]\sqrt{149}[/tex] = 12.2

b) Midpoint

Mx = (-6 + 4)/2 = -1

My = (6 + -1)/2 = 2.5

Answer:

[tex]\Huge \boxed{\mathrm{a) \ 12.21}} \\\\\\\\ \huge \boxed{\mathrm{b) \ -1, \ \frac{5}{2}}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We can use Pythagorean theorem to solve for the length of PQ.

[tex]PQ=\sqrt{10^2 +7^2 }[/tex]

[tex]PQ=\sqrt{149} \approx 12.2066[/tex]

The length of PQ is approximately 12.21.

We can find the midpoint with the midpoint formula:

[tex]\displaystyle \frac{x_1 + x_2 }{2}, \ \frac{y_1+y_2}{2}[/tex]

[tex]\displaystyle \frac{-6+4 }{2}, \ \frac{6+-1}{2}[/tex]

[tex]\displaystyle \frac{-2 }{2}, \ \frac{5}{2}[/tex]

[tex]\displaystyle -1, \ \frac{5}{2}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

1. 18

2. 23

3. 69

Step-by-step explanation:

y= 23

check it for your self

Answer:

18, 23 and 69

Step-by-step explanation:

Let x, y and z be the 3 numbers we are looking for.

● x + y + z = 110

z is 3 times y (z = 3y)

● x + y + 3y = 110

x is 5 less than y ( x = y -5)

● y-5 + y + 3y = 110

● 5y -5 = 110

Add 5to both sides

● 5y + 5 -5 = 110+5

● 5y = 115

Divide both sides by 5

● 5y/5 = 115/5

● y = 23

■■■■■■■■■■■■■■■■■■■■■■■■■

we have found that y = 23

● z = 3y

● z = 3×23

● z = 69

● x = y-5

● x = 23-5

● x = 18

Answer:

1. The interest is $ 117.

2. The amount is $ 1,317.

Step-by-step explanation:

The following data were obtained from the question:

Principal (P) = $ 1,200

Rate (R) = 3.25%

Time (T) = 3 years

Interest (I) =..?

Amount (A) =...?

1. Determination of the interest.

Principal (P) = $ 1,200

Rate (R) = 3.25%

Time (T) = 3 years

Interest (I) =..?

I = P × R × T / 100

I = 1200 × 3.25 × 3 / 100

I = $ 117

Therefore, the interest is = $ 117

2. Determination of the amount.

This can be obtained as follow:

Interest (I) = $ 117

Principal (P) = $ 1,200

Amount (A) =?

Amount (A) = principal (P) + interest (I)

A = P + I

A = 1200 + 117

A = $ 1,317

Therefore, the amount at the end of 3 years is $ 1,317

Answer:

26,244

Step-by-step explanation:

First, find the pattern with the numbers you already have. That pattern is × 3.

Since you're already at the fourth term, just keep multiplying your product by 3 until you get to the ninth term.

108 × 3 = 324

324 × 3 = 972

972 × 3 = 2,916

2916 × 3 = 8748

8748 × 3 = 26244

Therefore, your answer is 26,244.

Answer:

its c The additive inverse is positive, while the multiplicative inverse is negative.

Step-by-step explanation:

The additive inverse is positive, while the multiplicative inverse is negative.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

A relation is a function if it has only One y-value for each x-value.

The given function is f(x) = –(x – 3)²(x + 2)

Function equal to minus x minus three whole square times of x plus two.

as x>3, the values of x will be positive.

So the additive inverse is positive, while the multiplicative inverse is negative.

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.

A multiplicative inverse or reciprocal for a number x, denoted by 1/x.

Hence, the additive inverse is positive, while the multiplicative inverse is negative.

To learn more on Inequality click:

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Answer:

55 1/50 or 2751/50

Step-by-step explanation:

Convert both expressions to improper form

Make their denominators the same

Multiply the numerators

Simplify the fraction if needed

Answer:

8/9/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

distance covered in 9 hours = 828 km

therefore, distance covered in 1 hour = 828 / 9

= 92 km

Hope this helps

plz mark as brainliest!!!!!

Answer:

Step-by-step explanation:

Hello,

A train cover 828 km in 9 hours what distance will it covers in 1 hour

828 km => 9 hours

? km => 1 hour

= 1 x 828 / 9

= 92 km

Answer:

43

Step-by-step explanation:

if EF(part) = 18 and DF(the whole line) = 61

61-18 is 43. 43=DE

Please give brainliest thanks

Answer:

(X,Y)

(2,2)

(4,3)

(7,4.5)

(9,5.5)

Step-by-step explanation:

To match the input values with the output, substitute each value on the right into the equation.

1) x

[tex]\displaystyle\begin{aligned} y & = \frac{(x)}{2}+1 \\ \\ & = \frac{x}{2} + 1\end{aligned}[/tex]

The equation remains the same. Hence, x maps onto y.

2) 2

[tex]\displaystyle \begin{aligned} y &= \frac{(2)}{2}+1 \\ \\ & = 2\end{aligned}[/tex]

Therefore, map 2 with 2.

3) 4

[tex]\displaystyle \begin{aligned} y& = \frac{(4)}{2}+1 \\ \\ & = 3\end{aligned}[/tex]

Therefore, match 4 with 3.

4) 7

[tex]\displaystyle \begin{aligned} y& = \frac{(7)}{2}+1 \\ \\ & = 3.5 + 1 \\ \\ & = 4.5\end{aligned}[/tex]

Therefore, match 7 with 4.5.

5) 9

[tex]\displaystyle \begin{aligned} y& = \frac{(9)}{2}+1 \\ \\ & = 4.5 + 1 \\ \\ & = 5.5\end{aligned}[/tex]

And finally, match 9 with 5.5.

Answer:

thanks for the points

Step-by-step explanation:

Answer:

If x=6 and y=5 and we are to find y when x=3.

it will be 6=5,3=y....

5×3=6×y.

y=15/6=2.5 or 2 whole number 1/2.

This is the answer I hope it helps

Answer:

Step-by-step explanation:

First of all cross multiply

That's

Expand the terms

Add 16 to both sides

That's

Subtract 35w from both sides

We have

We have the final answer as

Hope this helps you

Answer:

the answer is 0

Answer: 1-6=5+4=9-2=7-3=4

Answer/Step-by-step explanation:

Given:

Population = 12,961

Dimension of field:

length (l) = 80 yards = 80*3 = 240 ft (1 yd = 3 ft)

width (w) = 45 yards = 45*3 = 135 ft

Area of the field = l*w = 240*135 = 32,400 ft²

Area occupied by 1 person = 2.5 ft²

No of people the field can occupy = 32,400 ÷ 2.5 = 12,960

Exactly 12,960 people can fit into the field.

The population of the city, which is 12,961, is more than what the field can accommodate. Therefore, the population cannot fit in.

Answer:

Environment

Step-by-step explanation:

Level of measurement used in statistics summarizes what statistical analysis that is possible. We have three types of level of measurement.

Nominal Scale

Ordinal Scale

Interval/ Ratio Scale

The nominal scale known as categorical or qualitative is the most basic level of measurement. Examples include numbers, colour, sex.

Ordinal are variables categorize according to hierarchy they usually have a meaningful order, but the intervals between the variables may not be equal.

In interval/ratio level of measurement, are measured and ordered. Examples are weight or size.

From the given question, it is only the environment that is measured using a nominal scale.

Age group is ordinal because it can be ordered based on hierarchy.

Answer: If a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.

If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.

Step-by-step explanation:

So if a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.

If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.

Answer:

7a + 3 -3 =45 - 3

7a + 0 = 42

7a = 42

7a/7 = 42/7

a = 6

The awncer is: B

just do it by 2

Answer:

1. 7

2. 1

3. no mode

Step-by-step explanation:

1. Ordering the data from least to greatest, we get:

Since there is an even number of items, we compute the median by taking the mean of the two middlemost numbers, 6 and 8:

So the median is 7.

2. Put in order:

Count:

Find the number that occurs most frequently which is 1 (5 times)

3. Put in order:

If the values in a given set all occur the same number of times, the data set has no mode because no number is any more common than any other.

Answer:

(-4,3)

Step-by-step explanation:

(x1 + 2)/2 = -1

x1 = -4

(y1 + 9)/2 = 6

y1 = 3

So, the other endpoint is (-4,3) .

The missing endpoint is D(-4,3).

In geometry, the midpoint of the line segment is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Now it is given that,

Midpoint of line segment, e(x,y) = (-1,6)

one endpoint of line segment, F(x₁,y₁)  = (2,9)

∴one endpoint of line segment, D(x₂,y₂)

Now since endpoint of line segment is given as,

{[(x₁+x₂ )/2] , [(y₁+y₂ )/2]}

Therefore,

x = (x₁+x₂ )/2

y = (y₁+y₂ )/2

Put the values we get,

-1 = (2+x₂)/2

-2 = (2+x₂)

⇒ x₂ = -2 -2

⇒ x₂ = -4

Again,

6 = (9+y₂ )/2

12  = 9+y₂

⇒ y₂ = 12-9

⇒ y₂ = 3

So, the endpoint is (-3,4)

Hence,The missing endpoint is D(-4,3).

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Answer:

12.5r + 200 = 12.5*2r

Step-by-step explanation:

Rate of Hoppertunity = r

Rate of Dortmund = 2r as it is twice as fast

Let the distance Hoppertunity runs be d, then the distance Dortmund runs is d + 200 m

Since it took 12.5 seconds Dortmund to catch Hoppertunity, it can be expressed as:

By replacing d in the second equation, we get:

Soving:

Hoppertunity's rate is 16 m/sec

Dortmund's rate is 32 m/sec

Answer:

[tex]8^{18}[/tex]

Step-by-step explanation:

[tex]8^15 / 8^-3\\=8^{15-(-3)}\\=8^{15+3}\\=8^{18}[/tex]

Answer:

C

Step-by-step explanation:

i just did that question and got it right!!

Answer:

True

Step-by-step explanation:

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Answer:

Explained below.

Step-by-step explanation:

The vertical axis of Graph A represents the year for which the population of Benton is recorded.

Also the axis represents every other year, i.e. 2002, 2004, 2006 and so on.

This implies that the data is recorded for every other year.

Consider the data provided:

Benton population in 1000s             Year

               10                                     2002

               11                                     2004

               12                                     2006

               13                                     2008

               14                                     2010  ​

For every 2 years the population of Benton is increasing by 1000.

That is for every year the population of Benton is increasing by 500.

If we make the vertical axis using the years:

2001, 2002, 2003, 2004, 2005, 2006 and so on, the graph will remain same with more points to plot.

So, on altering the vertical axis the graph does not changes much.

Answer:

Option D.

Step-by-step explanation:

It is given that, graph of j(x) transformed in the graph of j(4x) – 27.

We need to find the transformations.

Consider the new function is

[tex]f(x)=j(4x)-27[/tex]          ... (1)

The translation is defined as

[tex]f(x)=j(kx+a)+b[/tex]                ... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph stretched horizontally by factor of 1/k and if k>1, then the graph compressed horizontally by factor of 1/k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

k=4>1, the graph j(x) compressed horizontally by factor of 1/4.

a=0, so there is no horizontal shift.

b=-27<0, so the graph of j(x) shifts 27 units down.

So, the required transformations are horizontal compression by a factor of 1/4, and a translation 27 units down.

Therefore, the correct option is D.

Answer:

D) horizontal compression by a factor of 1/4, and a translation 27 units down

Step-by-step explanation:

got it right on edge :)

Answer:

(5, -1)

Step-by-step explanation:

The three coordinates of a triangle are given as:

(5,3), (-5,3), (-5,-1).

To find:

The missing vertex = ?

Solution:

Let us label the vertices:

A (5,3),

B(-5,3),

C(-5,-1).

Let the missing vertex be ([tex]x, y[/tex]).

Let us recall the properties of a rectangle.

The opposite sides of the rectangle are equal and parallel to each other.

Let us consider the side AB, we can see that only x coordinate is changed from A to B.

Let us consider the side BC, we can see that only y coordinate is changed from B to C.

A and B are adjacent vertices.

Similarly the opposite vertices will be C and D.

Same pattern will be followed in CD as that of AB.

x coordinate will be changed by same difference as that of AB.

Change in x coordinate from D to C = [tex]-5-x[/tex]

Change in x coordinate from A to B = [tex]-5-5 =-10[/tex]

Equating them:

[tex]-5-x=-10\\\Rightarrow x = 5[/tex]

Same pattern is followed in BC and AD.

Their change in y coordinate will be same.

[tex]-1-3=y-3\\\Rightarrow y =-1[/tex]

Missing vertex is (5, -1).

Please refer to the attached image for the rectangle.

I used a highly analytical formula to find out that the simplified formula to this complex equation is indeed:

4

Answer:

4

Step-by-step explanation: You cant simplify five, and if you do want to make 5 in to a fraction it's 5/1

5/1 simplifyed it 5

5-1=4