Find the sum and difference (first mixed number minus the second mixed number) for the following pair of mixed numbers. The answer should be written as a mixed number.

Answer:

b

Step-by-step explanation:

I believe its b, because1.5 is 10 times 0.15

and 6.3 is 10 times 0.63

Answer:

Function

Step-by-step explanation:

This is a function

Each input goes to only one output

Answer:

The zeros are 1 and 2

Step-by-step explanation:

Given

[tex]y =x^2 - 3x + 2[/tex]

Required

The zeros

[tex]y =x^2 - 3x + 2[/tex]

Expand

[tex]y =x^2 - 2x-x + 2[/tex]

Factorize

[tex]y =x(x - 2)-1(x - 2)[/tex]

Factor out x - 2

[tex]y =(x - 1)(x - 2)[/tex]

Set to 0

[tex](x - 1)(x - 2)=0[/tex]

Solve for x

[tex]x - 1 = 0 \to x =1[/tex]

[tex]x - 2 = 0 \to x =2[/tex]

Hence, the zeros are 1 and 2

Answer:

5

Step-by-step explanation:

(3 + 4i) + (2 - 3i) = 3 + 4i + 2 - 3i = 5 + i

distance between (5 + i) and (9 - 2i) is the difference between them. and difference means subtraction.

(9 - 2i) - (5 + i) = 9 - 2i - 5 - i = 4 - 3i

and since we are looking for a distance, we are looking for the absolute value of that subtraction.

after all, we could have done the subtraction also in the other direction

(5 + i) - (9 - 2i) = -4 + 3i

and this must be the same distance.

|(-4 + 3i)| = |(4 - 3i)|

and that is done by calculating the distance of any of these 2 points from (0,0) on the coordinate grid of complex numbers.

|(a +bi)| = sqrt(a² + b²)

in our case here

distance = sqrt(4² + (-3)²) = sqrt(16 + 9) = sqrt(25) = 5

as you can easily see, this is (as expected) the same for the result of the subtraction in the other direction :

sqrt((-4)² + 3²) = sqrt(16+9) = sqrt(25) = 5

Answer:

See below

Step-by-step explanation:

Congruent means having the same size and shape.

If triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 then the two triangles will not acquire the same size

This is because when a shape undergoes a dilation the dilated image is either larger or smaller and can therefore not maintain the same size as the pre image. Hence the triangles are not congruent.

Triangle ABC is not congruent to triangle A'B'C'

The triangles are given as:

Triangle ABC and A'B'C'

The other parameters are:

Scale factor, k = 1/2

Center = Point A

Since the scale factor is not 1, then the triangles would not be congruent; but they would be similar

Hence, triangle ABC is not congruent to triangle A'B'C'

Read more about dilation at:

https://brainly.com/question/9791066

Given:

The distance between the two buildings on a map = 14 cm

The scale is 1:35000.

To find:

The actual distance in km.

Solution:

The scale is 1:35000.

It means 1 cm on map = 35000 cm in actual.

Using this conversion, we get

14 cm on map = [tex]14\times 35000[/tex] cm in actual.

                       = [tex]490000[/tex] cm in actual.

                       = [tex]4.9\times 1000o0[/tex] cm in actual.

                       = [tex]4.9[/tex] km in actual.          [tex][1\text{ km}=100000\text{ cm}][/tex]

Therefore, the actual distance between two buildings is 4.9 km.        

Answer:

p

Step-by-step explanation:

p/sin27 = 9.5/sin135

p = sin27 * 9.5/sin135

Answer:

p

Step-by-step explanation:

9514 1404 393

Answer:

  13120

Step-by-step explanation:

The sum of terms of a geometric series is ...

  Sn = a1·(r^n -1)/(r -1)

You have n=8, a1=4, r=3, so the sum is ...

  S8 = 4·(3^8 -1)/(3 -1) = 2(3^8 -1) = 13,120

Answer:

Step-by-step explanation:

hope it helps u too

Answer:

9 liters of 15% orange juice and 1 liter of 5 % orange juice

Step-by-step explanation:

Answer:

1.sowwy I dunno

2.its so good and it's perfect

3.i dunno ulet hehe

Step-by-step explanation:

Sorry walang matino na sagot.

Answer:

276 cm^2

Step-by-step explanation:

Separate figure into triangular and rectangular prisms.

SA of triangular prism (finding each area of a face and add them all up)

4 x 5 = 20 cm^2

13 x 4 = 52 cm^2

1/2 x 12 x 5 = 30 cm^2

1/2 x 12 x 5 = 30 cm^2

20 + 52 + 30 + 30 = 132 cm^2

SA of triangular prism is 132 cm^2

SA of rectangular prism (do the same thing):

12 x 4 = 48 cm^2

12 x 3 = 36 cm^2

12 x 3 = 36 cm^2

3 x 4 = 12 cm^2

3 x 4 = 12 cm^2

48 + 36 +36 + 12 + 12 = 144

Add the SA OF BOTH PRISMS:

144 + 132 = 276 cm^2

Answer:

11 and 13

Step-by-step explanation:

The square root of 144 is 12 so the numbers must be close to that

since one number is two greater go up 1 and down 1 from 12

12 - 1 = 11

12 + 1 = 13

11 * 13 = 143

Answer:

$760 gross

$614.13 is net

Step-by-step explanation:

Beth earns $16 x 40 for the first 40 hours she works.

Then she earns overtime--> 5 hours at $24 per hour

Her "gross" earnings are before any deductions or taxes.

So 16x40 = 640 and 5x24= 120 so her January gross earnings are 640+120=

$760 gross

Her "net" pay is what is left over after taxes.

So take the $760 and subtract the $95 withholding = $665

Taxes are 7.65% so multiply 665 x 0.0765 = 50.8725 and subtract that also.

614.1275 rounded to $614.13 is net.

Answer:

Rs. 42000

Step-by-step explanation:

Let us assume that Mr. Ahmed bought the bicycle for Rs. x, and sold it for Rs. y to Mr. Saad. Since he made a loss of 28%, hence:

y = x - 0.28x = 0.72x

Mr. Saad spent Rs.1680 on its repairs, therefore the total cost price of the motorcycle = 0.72x + 1680

He then sold it for Rs.35910 making a profit of 12.5%. Therefore:

0.72x + 1680 + [0.125(0.72x + 1680)] = 35910

0.81x + 1890 = 35910

0.81x = 34020

x = Rs. 42000

Therefore the cost price of the motorcycle for Mr. Ahmed is Rs. 42000

Answer:

we add 49

Step-by-step explanation:

the answer is in the above image

Answer:

67.87

Step-by-step explanation:

Answer:

$8.60 I don't know what SLSO means

Step-by-step explanation:

Answer:

y=130(2.5) ^(x-1)

Step-by-step explanation:

This should give you an exponential growth curve. I'm assuming this is what you meant by "rapid change over time".

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The average cost for the training session provided he is a sports trainer can be computed as follows:

Let's assume that;

average cost = C(x)

the no. of session = x

Then:

[tex]C(x) = \dfrac{\text{Total cost}}{\text{no. \ of sessions}}[/tex]

[tex]C(x) = \dfrac{\text{80 + 40 + 15x}}{\text{x}}[/tex]

[tex]C(x) = \dfrac{\text{120+ 15x}}{\text{x}}[/tex]

Now, suppose the trainer wants the average cost C(x) to drop below $16;

Then, we have the following function:

[tex]\dfrac{120+15x}{x}\leq C(x)[/tex]

[tex]\dfrac{120+15x}{x}\leq16[/tex]

By cross multiply:

120 + 15x ≤ 16x

120 ≤ 16x - 15x

120 ≤ x

Therefore, the required no. of session, if the average cost should drop below $16, is 120.

Following are the solution to the required points:

        Total cost = C(x)

        Total session = x  

Then:

[tex]\to C(x)=\frac{\text{Total cost}}{\text{Total sessions}}=\frac{80+40+15x}{x}= \frac{120+15x}{x}[/tex]

[tex]\to \frac{120+15x}{x} \leq C(x)\\\\\to \frac{120+15x}{x} \leq 16\\\\[/tex]

By cross multiply:

[tex]\to 120 + 15x \leq 16x\\\\\to 120 \leq 16x - 15x\\\\ \to 120 \leq x[/tex]

As a result, if the average cost drops below $16, the required number of sessions is 120.

Learn more:

brainly.com/question/24859268

Answer:

(x - 8y + z)(x - 2y - z)

Step-by-step explanation:

Factorize :

x²-10xy + 16y²-z² + 6yz​

Solution:

x²-10xy + 16y²-z² + 6yz​

Firstly, make sure that all the terms are arranged in a well ordered manner:

x²-10xy + 16y²-z² + 6yz​

Secondly, split the term (16y²) common to both equation:

(x²-10xy + 25y²) - 9y² -z² + 6yz​

Thirdly, factorize both terms:

(x - 5y)² - 1(z² - 6yz + 9y²)

Factorizing the second term:

(x - 5y)² - (z - 3y)²

Using the difference of two squares, that is A² - B² = (A + B)(A - B):

(x - 5y)² - (z - 3y)² = [(x - 5y) + (z - 3y)][(x - 5y) - (z - 3y)]

= [x - 5y + z - 3y][x - 5y - z + 3y]

= (x - 8y + z)(x - 2y - z)

Answer:

D = 7

Step-by-step explanation:

To find the median, we must first list the amount of books each person read, and then put them in order.

2, 2, 7, 12, 25

These are already in order from smallest to greatest, which is awesome. We can then cross out one number from each side until we end up with either one or two numbers. We then find the average of those 1 or 2 numbers to find our median.

2, 3, 7, 12, 25

cross 2 and 25 out

3, 7, 12

cross 3 and 12 out

7

Our median is thus 7

Answer:

20

Step-by-step explanation:

(90+70)-(80+60)=20

just minus the total selling price to the total cost price

Answer:

(upper left) 3 triangles

(upper right) 5 triangles

(lower left) 9 rectangles

(lower right) next pattern is a grid that is 8 by 8.

The pattern is the previous side multiplied by 2

first block is 1x1

second block is 2x2

third block is 4x4

next block would be 8x8

Step-by-step explanation:

Answer:

60º

Step-by-step explanation:

The two triangles on the left are equilateral as the sides are all conguent.

The angles of an equilateral triangle are all 60º

Therefor the two angles to the left of angle 1 are both 60º for a combined value of 120º

Angle 1 must be 180 - 120 = 60º

To find angle 1, you have to add all adjacent angles, which equal 180°

Answer:

They will have 200 players at that point.

Step-by-step explanation:

7.5% increase

This means that the amount will be 100% + 7.5% = 107.5% = 1.075 of the original amount, that is, the original amount multiplied by 1.075.

Currently has 186 players. How many players will they have at that point?

186*1.075 = 199.95

Rounding up:

They will have 200 players at that point.

Answer:

All real numbers

[tex]( - \infty . + \infty )[/tex]

Step-by-step explanation:

because the domain is R and range depends of domain and it also depends on the leading coefficient

for example f(x) = x^3+1

the range is

[tex]y \geqslant 1[/tex]

Answer:

The answer is "7.248934".

Step-by-step explanation:

The area of the curve obtained after rotating it about the x-axis is :

[tex]2 \pi \int^2_1 y \sqrt{1+ \{ \frac{dy}{dx}\}^2 \ dx}\\\\y=x\ \ln \ x \ And \ \frac{dy}{dx}=1+ \lh\ x[/tex]

So, The area of the curve obtained after rotating it about the x-axis is : [tex]2 \pi \int^2_1 (x \ln \ x) \sqrt{(\ln\ x)^2+ 2 \ln \ x+ 2\ dx}\\\\[/tex]

Simpson's rule approximation with n=10 is:

[tex](\frac{1}{3})\times (0.1) \times ( f(1) + 4 \times f(1.1) + 2\times f(1.2) + 4 \times f(1.3) + 2 \times f(1.4) + 4 \times f(1.5) + 2 \times f(1.6) + 4 \times f(1.7) + 2 \times f(1.8) + 4 \times f(1.9) + f(2) ) = 7.248933= 7.248934[/tex]  

Answer:

b) What is the probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal? (Round your answer to four decimal places.)

Step-by-step explanation:

Answer:

Tan A

Step-by-step explanation:

Tan B = opposite / Adjacent = AC / BC

Reciprocal of Tan B = 1 ÷ Tan B

1 ÷ Tan B = 1 ÷ AC/BC = 1 * BC / AC = BC / AC

Reciprocal of Tan B = BC / AC

the reciprocal of tan B is equivalent to :

Tan A = opposite / Adjacent = BC / AC

Hence, the reciprocal of Tan B is Tan A

Answer:

Note: Images are not in order. Check page number on pictures to make sure you have the right Answer.

Have a Good Day! God bless!

Step-by-step explanation:

Question 6 “A”

Question 7 “D”

Question 8 “B”

Question 9 “B”

Question 10 “A”

Note: Answers From 1 to 5 in order here:

Question 1 “ B”

Question 2 “A”

Question 3 “B”

Question 4 “D”

Question 5 “D”