What is the surface area of a sphere with a diameter of 8 mm?
Use 3.14 for π .

Answer:

30

Step-by-step explanation:

y varies directly with x, so:

y = kx

When x = n, y = 180.

180 = kn

When x = 5, y = n.

n = 5k

Solve for k in the first equation:

k = 180 / n

Substitute into the second equation:

n = 5 (180 / n)

n = 900 / n

n² = 900

n = 30

No, angle B or angle C can't be obtuse.

It is given that:

Angle A in triangle ABC is obtuse.

This means that:

∠A > 90°

Now, let us assume that:

Angle B is obtuse.

i.e. ∠B > 90°

Hence, we get that the sum of two angle is greater than 180 degree.(i.e. ∠A+∠B > 180° )

hence, the sum of all the three angles will be greater than 180 degrees.

But we know that in order to form a triangle the sum of all the three angles must be equal to 180 degree.

No, angle B and angle C cannot be obtuse if angle A is obtuse because the sum of angles in a triangle is always 180 degrees, and if one angle is obtuse, the other two must be acute to satisfy this rule.

We have,

In a triangle, the sum of all angles is always 180 degrees.

If angle A in triangle ABC is obtuse, it means it measures more than 90 degrees (greater than a right angle).

For the sum of the angles to be 180 degrees, angles B and C must be acute (measuring less than 90 degrees).

This is because if either angle B or angle C were obtuse, the sum of the angles would exceed 180 degrees, which is not possible in a triangle.

So, angle B and angle C cannot be obtuse if angle A is obtuse.

Thus,

No, angle B and angle C cannot be obtuse if angle A is obtuse because the sum of angles in a triangle is always 180 degrees, and if one angle is obtuse, the other two must be acute to satisfy this rule.

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Answer: 48.3  6.9 times seven

The distance biked in seven days is 48.3 miles.

Using the parameters given for our Calculation;

To obtain the total amount of distance biked ;

Now we have ;

Hence, the distance biked is 48.3 miles .

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Answer:

-114

Step-by-step explanation: I just did this

In order to get the answer to this question you will have to find the common factor and then divide the numerator and denominator by the common factor to get the answer.

[tex]\frac{20}{10}[/tex]

[tex]CF=10[/tex]

[tex]20\div10=2[/tex]

[tex]10\div10=1[/tex]

[tex]\frac{2}{1} =2[/tex]

[tex]= \frac{2}{1} or2[/tex]

Therefore the answer is "2."

Hope this helps.

Answer:

Shift 1 units towards left and then stretch vertically 3 times.

Step-by-step explanation:

We are given that a parent function

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

After transformation, we get a graph [tex]y=3(x+1)^2[/tex]

We have to find that how the parent function transformed to produce the graph of [tex]y=3(x+1)^2[/tex]

The parent graph is shifted  1 unit towards left by the rule of transformation

[tex]f(x)\rightarrow f(x+1)[/tex]

By applying this rule then, we get

[tex]y(x)=(x+1)^2[/tex]

Now, the parent function stretched vertically 3 times the previous graph  by the rule

[tex]f(x)\rightarrow 3f(x)[/tex]

Apply this rule then, we get

[tex]y(x)=3(x+1)^2[/tex]

Answer:

r=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

28.32+38.8=65.12

13.10-11.6=1.56

65.12/1.56=41.7435897

Answer:

Simplified, it would be 2x^2+2xy+3y^2+3x+y+1 so that's your answer.

The given expression can not be simplified further.

The given expression is 3y² + 2xy + 1 + 3x + y + 2x².

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Now, the given expression can not be simplified further.

The degree of the given expression 3y² + 2xy + 1 + 3x + y + 2x² is 2.

Here, the coefficient of y² is 3, the coefficient of xy is 2, the coefficient of x is 3, the coefficient of y is 1 and the coefficient of x² is 2.

Hence, the given expression can not be simplified further.

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The water level in the tank decreased from 8 cm to 4 cm. This represents a decrease of 4 cm or a 50% decrease.

The decrease in water level in the tank is calculated by finding the difference between the initial level and the final level. In this case, the initial level is 8 cm and the final level is 4 cm. The difference between these two levels is 4 cm.

To calculate the percent decrease, divide the decrease in level by the initial level and then multiply by 100%. So, in this case, the percent decrease in water level is (4 cm / 8 cm) * 100% = 50%.

The percent decrease of water in the tank from noon to several hours later is therefore 50%.

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The percent decrease of water in the tank is 50%.

To find the percent decrease of water in the tank, we need to calculate the difference in the water level and express it as a percentage of the initial water level.

The initial water level at noon is 8 cm and after several hours it decreases to 4 cm. The difference in water level is 8 cm - 4 cm = 4 cm.

To find the percentage decrease, divide the difference in water level by the initial water level and multiply by 100.

The percent decrease is (4 cm / 8 cm) * 100 = 50%.

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Step-by-step explanation:

let (-2,4)=(x1,y1)

given eqn: y=4x+11

comparing with y=mx+c

slope (m)=4

now using point and slope form,

(y-y1)=m (x-x1)

(y-4)=4 (x+2)

y-4=4x+8

4x-y+12=0 is required eqn.

Answer:

slope: 4

y - 4 = 4(x + 2)

y - 4 = 4x + 8

y = 4x + 12

Answer:

A. For every 3 cups of lemonade, there are 7 cups of iced tea.

Step-by-step explanation:

The ratio is 3:7 and it stated that she mixed the lemonade cups with the iced tea. Therefore, A is the correct answer.

Answer:

3:7

Step-by-step explanation:

Answer: 7218

Step-by-step explanation: i mean you just add them up chief think of a number line that whole space between them

Answer:

23

Step-by-step explanation:

3x=x+46

2x=46

x=23

23*3=69

23+46= 69

The number three times a certain number is 46 more than the number itself is 23.

What is mathematic expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let the number be x :

then, three times the number will be = 3x

46 more than the number itself will be  = x+46

Now it is given that three times a certain number is 46 more than the number itself that is :

3x = x +46

3x-x = 46

2x = 46

x = 46/2

x =23

Therefore, the number three times a certain number is 46 more than the number itself is 23.

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Step-by-step explanation:

[tex]4.55-4\ and\ 55\ hundredths\\\\4.55=4\dfrac{55}{100}=4\dfrac{55:5}{100:5}=4\dfrac{11}{20}=\dfrac{(4)(20)+11}{20}=\dfrac{91}{20}[/tex]

[tex]4.\underbrace{55}_{2_{digits}}=4\dfrac{55}{1\underbrace{00}_{2_{zeros}}}[/tex]

Answer:

320

Step-by-step explanation:

When estimating, you have to round numbers to make them easier to work with.

957 becomes 960

639 becomes 640.

960 - 640 = 320

Answer:

Step-by-step explanation:

6,000 is [tex]6*10^3[/tex] in exponents.

Answer:

Step-by-step explanation:

shsjsjsj

Answer:

So you add 18 and 6 that’s 24 then divide it by 4 because you and your friends go and that would be 5

Step-by-step explanation:

Hey!

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

Part A:

30d (30 * d)

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

Part B:

Using the expression 30d we can solve how much time Brianna spent playing piano.

30(2) = 60 minutes (1 hour) in 2 days

30(4) = 120 minutes (2 hours) in 4 days

30(10) = 300 minutes (5 hours) in 10 days

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

Hope This Helped! Good Luck!

Answer with Step-by-step explanation:

Brianna practices the piano 30 minutes per day.

1 hour = 60 minutes

or 1 minute = 1/60 hour

30 minutes = 30/60 hours

                   = 0.5 hour

i.e. Brianna practices the piano 0.5 hours per day.

a. 0.5 hours per day means

   0.5d hours in d days

Expression for the number of hours she practices in d days is: 0.5d

b.  Number of hours she practices in 2 days = 0.5×2=1 hour

    Number of hours she practices in 4 days = 0.5×4=2 hours

    Number of hours she practices in 10 days = 0.5×10=5 hours

Answer:

A.activities related to buying.

Explanation:

Consumer behaviors is the action and the decision process of the people who buy goods and services for their consumption that is why it is related to buying activities.

Consume behavior entertains the behavior of the consumer activities which is linked with the use, purchase, and consumption of goods and services, this behavior also includes mental and emotional behavior of the consumer.

Consumer behaviour is the way that forces shape people's place and time utility. Hence, option B is correct.

Consumer behaviour refers to the activities related to buying goods and services, as well as the influence of factors such as place and time utility, culture, and society on these actions.

It's interesting to observe how these forces shape people's purchasing decisions and preferences.

From understanding consumer preferences to studying the impact of cultural norms, consumer behaviour provides valuable insights into how individuals interact with the market.

Hence,

Option B. Place and time utility is correct.

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Answer:

8%

Step-by-step explanation:

Use formula

[tex]\text{Percent increase}=\dfrac{\text{New value - Old value}}{\text{Old value}}\cdot 100\%[/tex]

Old value = $16,500

New value = $17,820

Hence, the percent increase is

[tex]\dfrac{\$17,820-\$16,500}{\$16,500}\cdot 100\%=\dfrac{\$1,320}{\$16,500}\cdot 100\%=\dfrac{8}{100}\cdot 100\%=8\%[/tex]

0.08 is equal to 8%, the percent increase in the value of the property is 8%.

First, calculate the increase in the value of the property:

increase = 17820 - 16500

        = 1,320

Next, calculate the percent increase by dividing the amount of the increase by the original value of the property and multiply by 100%:

percent increase = (1320 / 16500) * 100

percent increase = 0.08

Since 0.08 is equal to 8%, the percent increase in the value of the property is 8%.

Answer:

The answers are B, C, and D.

Step-by-step explanation:

When you rotate an image 180° about the origin, you are flipping it twice. An easy rule is that an (x, y) pair becomes (-x, -y). Now just reverse the sign of the coordinates. Our rotated shape has the coordinates (-5, -6), (-5, -4), and (-8, -4).

Answer:  C. (−5, −6)          D. (−8, −4)

Step-by-step explanation:

We know that the rule for rotation a shape by [tex]180^{\circ}[/tex] (counterclockwise or clockwise) is given by :-

[tex](x,y)\to(-x,-y)[/tex]  [Polarity of coordinates gets changed]

Given : Troy drew a triangle with coordinates ( 5 , 6 ) , ( 5 , 4 ) , and ( 8 , 4 ) . He rotated the triangle 180° about the origin.

Then, the coordinates of the image will be :-

[tex]( 5 , 6 )\to(-5,-6)[/tex]

[tex]( 5 , 4 )\to(-5,-4)[/tex]

[tex]( 8 , 4 )\to(-8,-4)[/tex]

From the options, the coordinates of the image = (-5,-6) and (-8, -4)

Hence, option C and D are correct.

Answer:

x=1.4 y=2.8

Step-by-step explanation:

Lets substitute y with 2x. We get: 1.85x+7.4x=12.95.

Simplifying by combining x: 9.25x=12.95

Then you just divide 12.95 by 9.25: x=1.4

Now for y. We know why is 2x so we just have to multiply x by 2: y=2x, y=2.8.

Answer:

Ashley

Step-by-step explanation:

William scored more than Riley

So William>Riley

Ashley scored fewer than Riley

So William>Riley>Ashley

Lauren scored more than William

So Lauren>William>Riley>Ashley

Answer:

The distance from B to B' is 5 units

Step-by-step explanation:

The complete question is

Polygon ABCD is translated to create polygon A'B'C'D'. Point A is located at (1,5) and point A' is located at (-2,1). What is the distance from B to B'?

we know that

In a translation the figure maintains its dimensions and internal angles

so

AA'=BB'=CC'=DD'

The distance BB' is the same that the distance AA'

Find the distance AA'

the formula to calculate the distance between two points is equal to

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

we have

A(1,5),A'(-2,1)

substitute in the formula

[tex]AA'=\sqrt{(1-5)^{2}+(-2-1)^{2}}[/tex]

[tex]AA'=\sqrt{(-4)^{2}+(-3)^{2}}[/tex]

[tex]AA'=\sqrt{25}[/tex]

[tex]AA'=5\ units[/tex]

therefore

The distance from B to B' is 5 units

Answer:

plot decimal values

Step-by-step explanation:

One approach is to convert them to decimal using your calculator or long division:

3/4 = 0.75

7/9 ≈ 0.78

1/2 = 0.50

2/3 ≈ 0.67

Since the number line has 0.1 increments, you can place each value in between the right increments. For instance 3/4 you place between 0.7 and 0.8. You place it halfway because 0.75 is halfway between 0.7 and 0.8. It's ok to estimate the exact location in this case.

Answer:

Step-by-step explanation:

Answer:

18,0 the time it takes or the helicopter to reach the ground.

Step-by-step explanation:

if you look at the table, it slowly is decreasing, therefore it is going towards the ground.

Answer:  The correct option is

(D) (18,0) the time it takes for the helicopter to reach the ground.

Step-by-step explanation:  Given that the table shown in the picture gives the  number of feet a helicopter flies above the ground as a function of time.

We are to find and interpret the meaning of the x -interpret in this scenario.

From the table, we note that

the graph of function f(x) will pass though the points (0, 18) and (2, 16).

So, the slope of the line graph of f(x) is

[tex]m=\dfrac{16-18}{2-0}=\dfrac{-2}{2}=-1[/tex]

Since the line passes through the point (0, 18), so its equation will be

[tex]y-18=m(x-0)\\\\\Rightarrow y-18=-1\timesx\\\\\Rightarrow y=-x+18.[/tex]

Now, to find x-intercept, we need to substitute y = 0 in the equation of the line.

So, at y = 0, we get

[tex]0=-x+18\\\\\Rightarrow x=18.[/tex]

Therefore, the required x-intercept is (18, 0) and is shows that the time taken by the helicopter to reach the ground is 18.

Thus, option (D) is CORRECT.

Answer:

x^2 +  10x - 13y.

Step-by-step explanation:

3(2x + y) + 4(x - 4y) + x^2   First apply the Distributive law to the parentheses:

= 6x + 3y + 4x - 16y + x^2  Now add like terms:

= 10x - 13y + x^2.

Which expression is the simplest form of 3(2x+y)+4(x-4y)+[tex]x^{2}[/tex]?

Answer:

[tex]x^{2}[/tex]-13y+10x

Step-by-step explanation:

3(2x+y)+4(x-4y)+[tex]x^{2}[/tex]

6x+3y+4x-16y+[tex]x^{2}[/tex]

[tex]x^{2}[/tex]-13y+10x

Answer:

a)27.6

b)978.3

c)43.0

d)9.0