A circle in the XY-plane has center (5, 7) and radius 2. Which of the following is an equation of the circle?

Answer:

20

Step-by-step explanation:

subtract 5 from 85 then divide by 4

85-5=80

80/4=20

Answer:

43.96

Step-by-step explanation:

you get pi which is 3.14 times 7 and then times 2

Answer:

43.98 inches

Step-by-step explanation:

The circumference of a circle can be found using:

[tex]c=2r\pi[/tex]

We know r, or the radius is 7, so we can substitute that in

[tex]c=2*7(\pi )[/tex]

[tex]c=14\pi[/tex]

c=43.9822972

or, about

43.98 inches

Answer:

19

Step-by-step explanation:

Solve for the value of w.

3w - 4 = 8

Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides:

3w - 4 (+4) = 8 (+4)

3w = 8 + 4

3w = 12

Divide 3 from both sides to fully isolate the variable, w:

(3w)/3 = (12)/3

w = 12/3

w = 4

Plug in 4 for w in the first expression & solve:

5w - 1

5(4) - 1

20 - 1

19

19 is your value.

~

Answer:

19

Step-by-step explanation:

First, we need to solve for w by isolating it

3w-4=8

Add 4 to both sides

3w=12

Divide both sides by 3

w=4

Now we know w and can plug 4 in for w and solve

5w-1

5(4)-1

20-1

19

Answer:

19.8% is the percent error of the baker's prediction.

Step-by-step explanation:

We are given the following in the question:

Total number of cupcakes sold in 1 day = 101

Predicted number of cupcakes sold = 81

We have to find the percent error of the baker's prediction.

Percentage error =

[tex]=\dfrac{\text{Actual value - Predicted value}}{\text{Actual values}}\times 100\%[/tex]

Putting values, we get

[tex]=\dfrac{101-81}{101}\times 100\%\\\\=19.8\%[/tex]

Thus, 19.8% is the percent error of the baker's prediction.

Answer:

12/70

Step-by-step explanation:

expand brackets

16x-112 + 13 = 4x-27

16x - 99 = 4x-27

16x= 4x + 70

12x=70

x = 12/70

Answer:

The area of a circle is : π (Pi) times the Radius squared : A = π r 2 or, when you know the Diameter: A = (π /4) × D 2 or, when you know the Circumference: A = C 2 / 4 π

Answer:

-7

Step-by-step explanation:

In y = mx + c,

m is the slope

m is the coefficient of x

in y = -7x,

m = -7

Answer: x = 8

Step-by-step explanation: Solve for the equation x - 9 - 2x + 2 = 1.

Step 1: x - 9 - 2x + 2 = 1

Step 2: x + (-2x) - 9 + 2

Step 3: x - 7 = 1

Step 4: x - 7 + 7 = 1 +7

Step 5: x = 8

Answer:

After 12 days

Step-by-step explanation:

4×3

Answer:

V = integral of [ 0.116e^(-2.3r) * 2πr (10^3) ] dr with upper limit of 5 and lower limit of 0. Unit in m^3.

Step-by-step explanation:

H(r) = 0.116e^(-2.3r)

H(r) = millimeters

r = kilometers

We'll use Riemann's sum to approximate the total area underneath the region of the integral.

Using Riemann's sum, we break the region into rings of radius r and width ∆r.

Area of rings = πr^2

Area of the rings with radius r and width ∆r, then becomes=

π(r+ ∆r)^2 - πr^2

On expanding:

Area = π[ r^2 + 2r∆r + (∆r)^2] - πr^2

= πr^2 + 2πr∆r + π(∆r)^2 - πr^2

= 2πr∆r + π(∆r)^2

Area = ∆r(2πr + π∆r)

Area/∆r = 2πr + π∆r

At lim ∆r tends to zero

Area/∆r = 2πr + 0 = 2πr

Area = 2πr∆r

Volume = Area * depth

= Area * H(r)

∆V approximately equal to:

2πr∆r * H(r)

Sum of the contribution for all the rings for the volume (total volume):

V approximately sum of [H(r) *2πr∆r]

V ≈ ∑H(r)· 2πr∆r.

Taking the limit as ∆r tends to zero,

V = integral of [ 0.116e^(-2.3r) * 2πr ] dr with upper limit of 5 and lower limit of 0.

The term H(r) and Area are not in the same unit. We would convert both to meters.

H(r) = mm = 10^(-3)m

Area = km^2 = km*km

= (10^3)m * (10^3)m = (10^6)m^2

V = integral of [(10^-3m) *  0.116e^(-2.3r) *2πr (10^6m^2) dr] with upper limit of 5 and lower limit of 0.

V = integral of [ 0.116e^(-2.3r) * 2πr (10^3) dr ] with upper limit of 5 and lower limit of 0. Unit in m^3.

Answer:

The hypotenuse to the nearest tenth is 8.1

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

Let a be the x leg and b be the y leg

a = 7 units

b= 4 units

7^2 + 4^2 = c^2

49+ 16 = c^2

65 = c^2

Take the square root of each side

sqrt(65) = sqrt(c^2)

8.062257748 =c

To the nearest tenth

8.1 =c

Answer:

x = 100

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

x+ 42+ 38 = 180

Combine like terms

x + 80 = 180

Subtract 80 from each side

x+80-80 = 180-80

x = 100

Answer:

Easy!

Step-by-step explanation:

First, we have to know that:

The Sum of All Angles in a Triangle is 180 Degrees

(Self-explanatory, really)

This means that 42, 38, and x added together will equal 180 degrees, thus me set up our equation:

[tex]42+38+x=180\\x=100[/tex]

See? Simple.

Hope this helps!

FYI Remember that x= 100 Degrees

Answer:

8!

Step-by-step explanation:

find numbers for school bus and car by multiplying percentages in decimal form 40% turns into .40 and 30 into .30

0.4x80 and 0.3x80 = 32 and 24. 32-24=8

Answer: 8!

Step-by-step explanation:

Answer:

The answer is around 190°

Step-by-step explanation:

You use A= (central angle/ 360) x πr²

Substitute the values you have and solve:

59.66 yd² = [tex]\frac{x}{360}[/tex] x π x (6)²

59.66 yd² = [tex]\frac{x}{360}[/tex] x π x 36

Solve for x and you get 189.9036781 ≈ 190°

Answer:

around 190°

Step-by-step explanation:

Answer:

whoa this hard its almost liek you can use a calculator smh

Step-by-step explanation:

Answer:

178

Step-by-step explanation:

456 - 278 = 178

9514 1404 393

Answer:

  square pyramid

Step-by-step explanation:

The description fits that of a square pyramid.

Answer:

30+55+100=185

Step-by-step explanation:

Answer:

x =1

Step-by-step explanation:

Solve the equation:

8 - 2x = -8x + 14

Collect like terms

8 - 14 = -8x + 2x

-6 = -6x

x = -6/-6

x = 1

Answer:

x=1

Step-by-step explanation:

i did the quiz

Answer:

The fraction of tiles that will be the color of "sand" is 23/60

Step-by-step explanation:

we know that

The sum of the fractions of the tiles must be equal to 1

Let

x ----> the fraction of tiles that will be the color of "sand"

we have that

[tex]\frac{1}{4}+\frac{1}{6}+\frac{1}{5}+x=1[/tex]

solve for x

Find the Least Common Multiple of denominators

[tex]LCM=(2^2)((3)(5)=60[/tex]

Multiply both sides by 60

[tex]\frac{60}{4}+\frac{60}{6}+\frac{60}{5}+60x=60[/tex]

simplify

[tex]15+10+12+60x=60[/tex]

[tex]60x=60-37\\60x=23\\x=\frac{23}{60}[/tex]

therefore

The fraction of tiles that will be the color of "sand" is 23/60

Answer:

I believe it’s x but i’m not 100% sure. hope this helps :)

Step-by-step explanation:

Answer:

it’s x  hope this helps :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 1: List the known quantities and plan the problem.

Known

have 1 Banana (B)

4 Strawberries (St)

1 Yoghurt (Y)

3 Ice cubes (Ic)

Therefore, the equation for our smoothie is shown below:

B+4St+Y+3Ic→BSt4YIc3

Step 2: Conversion factor to show relationship between ice cubes and smoothie

3Ic = BSt4YIc3 (conversion factor)

Step 3: Number of strawberries required to make 12 smoothies

4St = BSt4YIc3 (conversion factor)

12BSt4YIc3 * (4St/BSt4YIc3) = 48St

Answer:

A ;w ;

Step-by-step explanation:

Did the assignment

Answer: (1) Leslie will need 2,380,525 square tiles (1 foot by 1 foot each)

(2) She will have to spend $1,785,393.75 to cover her patio.

Step-by-step explanation: Please refer to the picture attached.

The rectangular patio has been designed and as shown in the diagram has on side measuring 2135 ft and the other side measuring 1115 ft. This means, in order to cover the entire patio, she would have to cover an entire area defined as 2,135 feet into 1,115 feet. If one tile measures 1 foot long by 1 foot wide, the total number of tiles to cover the patio can simply be derived as;

Area = L x W

Where the length is 2135 and the width is 1115,

Area = 2135 x 1115

Area = 2380525

**Having in mind that one tile measures 1 ft by 1 ft, the area of each tile is given as

Area = L x W

Area = 1 x 1

Area = 1 square foot**

(1) The above calculation shows that Leslie would be using up a total of 2,380,525 square tiles to completely cover her patio.

(2) Having been told that each square foot of tile costs 75 cents ($0.75), the total amount spent to cover her patio would be calculated as follows;

Cost = Area x cost per tile

Cost = 2380525 x 0.75

Cost = 1785393.75

The total cost therefore is $1,785,393.75

Leslie needs [tex]\( 2380025 \)[/tex] square feet of tile, and it will cost her [tex]\( \$1785018.75 \)[/tex] to cover her patio.

1. Calculate the area of the patio:

  [tex]\[ \text{Area} = 2135 \times 1115 = 2380025 \text{ square feet} \][/tex]

2. Calculate the total cost of tiles:

[tex]\[ \text{Total cost} = 2380025 \text{ square feet} \times \$0.75/\text{sq ft} = \$1785018.75 \][/tex]

Therefore, Leslie needs [tex]\( 2380025 \)[/tex] square feet of tile, and it will cost her [tex]\( \$1785018.75 \)[/tex] to cover her patio.

Answer: 30

Step-by-step explanation:

Answer:

[tex]1,43 m[/tex]

Step-by-step explanation:

1) Vamos reescrevê-la já que há dois termos do 1º grau e portanto, admite simplificação:

[tex]d(x)=\frac{-0,4x}{2}+1,6x+2\\d(x)=\left ( \frac{-0,4+3,2}{2} \right )x+2\\d(x)=\frac{2,8}{2}x+2\\d(x)=1,4x+2[/tex]

2) Agora, vamos fazer uma leitura mais atenta da função na qual d, indica "distância" e x

Considerando que José está em cima do muro, e jogou a boa a distância é calculada

[tex]0=1,4x+2\\x=\frac{-2}{1,4}\\x\approx -1.43\\[/tex]

Como distância é um valor absoluto, isto é não existem distâncias "negativas" então |-1,43|=1,43

3)

Answer:

a) The evidence suggest the true mean life of a biomedical device > 5500

b) (5487.94, +∞)

c) There is evidence to support that the mean is equal to 5500

Step-by-step explanation:

Here we have

(a) To test the hypothesis we have the claim that the mean life of biomedical devices > 5500

Therefore, we put the null Hypothesis which is the proposition that a difference does not exist. That is

H₀:  μ = 5500

Therefore, the alternative hypothesis will be

Hₐ:  μ > 5500

The test statistic is then found by;

[tex]t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}} =\frac{5617.8-5500 }{\frac{234.5 }{\sqrt{15}}} \approx 1.95[/tex]

The P value from the T table at df = n - 1 = 15 - 1 = 14 is

0.025 < P < 0.05

The P value is given as 0.036 from the T distribution at 14 derees of freedom df

Therefore, since P < α or 0.05, we reject the null hypothesis. That is we fail to reject Hₐ:  μ > 5500. The evidence suggest the true mean life of a biomedical device > 5500

(b) The 95% confidence interval is given as

[tex]CI=\bar{x}\pm t_\alpha \frac{s}{\sqrt{n}}[/tex]

Which gives    t[tex]_\alpha[/tex] =  [tex]\pm[/tex]2.145

[tex]CI=5617.8\pm 2.145 \times \frac{234.5}{\sqrt{15}}[/tex]

The confidence interval of the lower bound on the mean is then

(5487.94, +∞)

c) From the above result, we find that the mean of 5500 is contained in the range of the lower confidence on the mean. We can therefore, accept the null hypothesis. That is there is evidence to support that the mean is equal to 5500.

Answer:

24 feet

Step-by-step explanation:

According to the question, Patricia needs 10 yards of fabric to make curtains for her bedroom she also needs 3 yards of fabric to make a cover for her storage bench

So, she needs 13 yards

converting into feet

1 yard = 3 feet

13 yards x 3 = 39 feet

Now, she already has  15 feet of fabric.

Finding out the difference : 39 - 15= 24 feet

Therefore, she needs 24 feet more of fabric

Answer:

She needs an additional 24 feet of fabric.

Step-by-step explanation:

In order to solve this problem we first need to calculate how many yards of fabric Patricia needs. This will be given by the sum of the fabric needed for the curtains and the fabric required to cover the storage bench. As seen bellow:

required fabric = 10 + 3 = 13 yards

We need to convert this value to feets, so the units are the same. To do that we multiply by 3.

required fabric = 13*3 = 39 feet

To know how many more fabric she needs we have to subtract the required fabric for the task by the total she already has. This is shown bellow:

needed fabric = 39 - 15 = 24 feet

She needs an additional 24 feet of fabric.

Answer:

2,5

Step-by-step explanation:

es decimal porque es un numero impar

Answer:

2.5

Step-by-step explanation:

básicamente, dividirías 5 y 2. No hagas 2 y 5. Eso te dará un número completamente diferente y no querrás un decimal de la fracción 2/5. Quieres la mitad de 5. ¡Entonces será 2.5! Lo siento, estoy usando el traductor de Google.

Answer:

The Volume is decreasing at a rate of [tex]156\pi[/tex] [tex]cm^3[/tex] per minute.

Step-by-step explanation:

Given a cone of radius r and perpendicular height h

Volume of the cone, [tex]V=\frac{1}{3}\pi r^2 h[/tex]

Since the height of the cone is fixed, the rate of change of the volume of the Cone, [tex]\frac{dV}{dt}[/tex] is given as:

[tex]V=\frac{1}{3}\pi r^2 h \\\frac{dV}{dt}=\frac{h\pi}{3} \frac{d}{dt} r^2\\\frac{dV}{dt}=\frac{2rh\pi}{3} \frac{dr}{dt}[/tex]

We are to determine the rate of change of the Volume, V when:

The radius is decreasing at a rate of 2 cm per minute,  [tex]\frac{dr}{dt} = -2 cm/min[/tex]

Height, h=9 cm

Radius = 13cm

[tex]\frac{dV}{dt}=\frac{2rh\pi}{3} \frac{dr}{dt}\\=\frac{2*13*9\pi}{3}* ( -2)\\\frac{dV}{dt}=-156\pi \:cm^3/min[/tex]

The Volume is decreasing at a rate of [tex]156\pi[/tex] [tex]cm^3[/tex]  per minute.

Answer:

2x+2y=310

x-y=55

multiply seond equation by 2 and adding to first equation

2x-2y=110

add

2x-2y=110

2x+2y=310 +

4x+0y=420

4x=420

divide 4

x=105

sub

x-y=55

105-y=55

minuse 105

-y=-50

mult -1

y=50

the numbers are 105 and 50