Michael collects baseball cards. His cousin gave him 267 cards when he gave up his own hobby. 23 of them were duplicates of cards Michael already has so he put them aside for trading. How many new cards did he add to his collection?​

Answer:

637

Step-by-step explanation:

rectangle =

12*16*2 = 384

triangle = 12*16/2

= 96

semi circle = pie*hyp^2/2

= pie * (sqrt(12^2+16^2))^2/2

=157

Answer:

24 units²

Step-by-step explanation:

Given:

To find:

The area enclosed by these lines can be expressed as:

[tex]\displaystyle \large{\int_0^6 \int_2^6 dy dx }[/tex]

For:

[tex]\displaystyle \large{\int_2^6 dy}[/tex]

Recall:

[tex]\displaystyle \large{\int_a^b dy = [y]_b^a = a-b}[/tex]

Therefore:

[tex]\displaystyle \large{\int_2^6 dy = [y]_2^6 = 6-2 = 4}[/tex]

Now we we have:

[tex]\displaystyle \large{\int_0^6 4dx}[/tex]

Recall:

[tex]\displaystyle \large{\int_a^bk dx = [kx]_a^b = kb-ka}[/tex]

for k = constant

Therefore:

[tex]\displaystyle \large{\int_0^6 4 dx = [4x]_0^6 = 4(6)-4(0) = 24}[/tex]

Hence, the area of region is 24 units²

Answer:

4.5 miles

Step-by-step explanation

Figure out how far the hot air balloon travelled in 1 hour - 3 hours can be divided by 3 for 1 hour, so do the same for the miles - 18 / 3 = 6

So basically, the hot air balloon travelled 6 miles in 1 hour.

Now, you can work out 3/4 of 6 for 3/4 of 1 hour - 3/4 * 6 = 4.5 miles

:)

Answer:

Step-by-step explanation:

question doesnt make sense

Answer:

1/3

Step-by-step explanation:

essentially saying 3x = 1 where x is the unknown number.

we now solve for x

x= 1/3

Answer:

The answer is 12,658,538

Step-by-step explanation:

53 times 6,987 = 370,311

370,311 times 34 = 12,590,574

12,590,574 plus 67964 = 12,658,538

Answer:

12,658,538

Step-by-step explanation:

I used a calculator

The value of x in the given figure is 91 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find the value of x in the given figure.

To find x, firstly we need to find the unknown interior angle.

By Angle sum property the sum of three angles of a triangle is 180 degrees.

a+54+37=180

a+91=180

Now subtract 91 from both sides

a=180-91

a=89 degrees.

Now let us find the value of x which is adjacent to 89 degrees.

The sum should be 180 degrees

a+x=180

89+x=180

Subtract 89 from both sides

x=91 degrees

Hence, the value of x in the given figure is 91 degrees.

To learn more on Triangles click:

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Step-by-step explanation:

the formula for the mid point is:

{(x1 + x2)/2 , (y1 + y2)/2}

so using the formula we get:

(15, 5)

also are you sure that the question wants the midpoint? since the answer is not included in the choices

Answer:

C(15,3)

Step-by-step explanation:

Midpoint = [tex]\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2}[/tex]

               = [tex]\frac{12_{}+18_{} }{2}, \frac{8_{}+2_{} }{2}[/tex]

               = 15,5 (which is closest to C, i think there is a mistake in the        question as there is only one formula to find midpoint so y coordinate has to be 5)

Answer:

0.631

Step-by-step explanation:

Answer to first four-

first one- 2f+2f=60

4f=60

f=15

second one-18+2d=38

2d=20

d=10

(short side is 9)

third one-2a+a+5+a+5=26

4a+10=26

a=4

long side is 9

short side is 8

fourth one-3xy+3xy+xy=63

7xy=63

xy=9

long side is 27

Answer:

7 units

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

[tex]d=\sqrt{(4-4)^2+(-1-6)^2}[/tex]

[tex]d=\sqrt{(0)^2+(-7)^2}[/tex]

[tex]d=\sqrt{49}=7[/tex]

Distance = 7 units

I hope this helps!

Answer:

it is B

Step-by-step explanation:

that's because line goes through (0,0)

Answer:

The difference is approxiametly 8

Step-by-step explanation:

Things need to know

Whole number = Number on the left side of the mixed fraction

Numerator = Number on top of fraction

Denominator = Number on bottom of fraction

How to convert mixed numbers into improper fractions = Multiply denominator by whole number and then add that to the numerator

How to turn improper factions into decimals = Divide numerator by denominator

Improper fraction = A fraction where the numerator is greater than the denominator

Mixed fraction = A whole number and a proper fraction mixed together

For the first mixed number:

[tex]9 \dfrac{ 52 }{ 69 }[/tex]

9 = whole number

52 = numerator

69 = denominator

For the second mixed number:

[tex]1 \dfrac{ 29 }{ 50 }[/tex]

1 = whole number

29 = numerator

50 = denominator

Given:

[tex]9 \dfrac{ 52 }{ 69 } -1 \dfrac{ 29 }{ 50 }[/tex]

Convert mixed numbers into improper fractions

[tex]\dfrac{ 673 }{ 69 } - \dfrac{ 79 }{ 50 }[/tex]

Turn improper factions into decimals

[tex]9.753623188405797-1.58[/tex]

Round both numbers to the nearest whole number

[tex]10-2[/tex]

Subtract 2 from 10

[tex]8[/tex]

Answer: 8

The table of the average number of tornadoes is an illustration of proportions

The average number of tornadoes in April is 28

From the table, we have:

Average number of tornadoes in May in Texas = 43

From the question, we have:

May = 154% * April

This gives

43 = 154% * April

Express as decimal

43 = 1.54 * April

Divide both sides by 1.54

April = 27.9

Approximate

April = 28

Hence, the average number of tornadoes in April is 28

Read more about proportions at:

https://brainly.com/question/18437927

Answer:

the future value would be 473.72 if p is referring to future value

if p is referring to present value it is 121.59

if p is referring to payment it is 58.37

Step-by-step explanation:

you can use spreadsheets to solve this equation using =pmt/=fv/=pv

Step-by-step explanation:

[tex]s .i = \frac{prt}{100} [/tex]

[tex]240 = p \times \frac{12}{100} \times 6[/tex]

[tex]240 = \frac{18}{25} p[/tex]

[tex]240 \div \frac{18}{25} = p[/tex]

[tex]p = 333.3333[/tex]

[tex]w = \frac{3}{5} [/tex]

Answer:

Step-by-step explanation:

According to the graph, the function h(x) is the translation of the function f(x) to the right and down.

Compare the coordinates of the vertices to write the formula

The formula is

Answer:

h(x) = f(x - 12) - 4

Step-by-step explanation:

The vertex is the turning point (stationary point or minima/maxima) of the graph.

To find the series of translations that transform the graph of y = f(x) onto y = h(x), compare the vertices of both graphs.

Vertices of given functions:

Differences

Therefore, y = f(x) has been:

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Therefore:

So the formula for h(x) in terms of f(x) is:

h(x) = f(x - 12) - 4

Learn more about transformations here:

brainly.com/question/27845947

Answer:

x^2−7x+12      so -7x

Step-by-step explanation:

Answer:

x | -3  -2  -1   0  1

y | 0   -3  -4 -3  0

Step-by-step explanation:

f(x) = x² + 2x - 3

x = -3 then y = (-3)² + 2(-3) - 3 = 9 - 6 - 3 = 3 - 3 = 0

x = -2 then y = (-2)² + 2(-2) - 2 = 4 - 4 - 3 = 0 - 3 = -3

x = -1 then y = (-1)² + 2(-1) - 1 = 1 - 2 - 3 = -1 - 3 = -4

x = 0 then y = (0)² + 2(0) - 3 = 0 + 0 - 3 = 0 - 3 = -3

x = 1 then y = (1)² + 2(1) - 3 = 1 + 2 - 3 = 3 - 3 = 0

Answer:

option 4

Step-by-step explanation:

To write in terms of y

Step 1: subtract k from both sides

[tex]\sf \dfrac{ey}{n} + k - k = t -k\\\\\\\dfrac{ey}{n}=t-k[/tex]

Step 2: Multiply the entire equation by n

[tex]\sf n*\dfrac{ey}{n}=n*(t-k)\\\\\\ey=n(t-k)[/tex]

Step 3: Divide the entire equation by 'e'

[tex]\sf \dfrac{ey}{e}=\dfrac{n(t-k)}{e}\\\\\\\boxed{y =\dfrac{n(t-k)}{e}}[/tex]

Answer:Eight to 12 inches is usually adequate. If drainage is a problem, or if the plants you are growing prefer drier soil, the bed could be taller and filled with a porous growing medium.

Step-by-step explanation:

Answer:

915

Step-by-step explanation:

V=l*w*h V=1/2*b*h*l

V of the rectangular block: 15*5*8 = 600

V of the triangular prism--it's easiest to solve half of it, then just multiply that answer by 2: 1/2*5*7*9 = 157.5

When you double it, it cancels out the 1/2

157.5*2=315

315+600=915

It's 582ft I have noclue what dude is talking about

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

9833923

Answer:

See below ↓↓

Step-by-step explanation:

(a) Most variability

(b) Highest scores on average

Answer:

5.4 units

Step-by-step explanation:

From the figure ,it's clear that   sin(50) = PQ/7

Then

PQ = 7×sin(50) = 5.362311101833

Therefore the approximate length of PQ I saw 5.4

Answer:

Let x = time in minutes

Let y = water in ounces

Part A

If the water drips at a constant rate of 2 ounces per 5 minutes, then

x = 0, y = 0

x = 10, y = 4

x = 20, y = 8

Part B

Graph is attached.

Please note that the scales on the y and x axes are different.

Part C

[tex]\sf y=\dfrac25x[/tex]

Answer:

6738752.62

Step-by-step explanation:

1,455.8 x 4,628.9=6738752.62

Answer:

6738752.62

hope this helps

Answer:

Step-by-step explanation:

diameter = 12 cm

r = 12 ÷2 = 6cm

Volume of cylinder

[tex]\boxed{Volume=\pi r^{2}h}[/tex]

πr²h = 825.192 cubic cm

3.14 * 6 * 6 * h = 825.192

                   [tex]h =\dfrac{825.192}{3.14*6*6}[/tex]

                  h = 7.3 cm

Answer:

Height of cylinder is 7.3 cm

Step-by-step explanation:

Given :-

To find :-

Solution:-

Volume of Cylinder = πr²h

825.192 cm³ = 3.14 × 6 × 6 × h

825.192/113.04 = h

7.3 cm = h

Answer:

x=4

Step-by-step explanation:

right triangle calculator works well