“I think I can make it. I’ll just jump.” says Denis, flashing a grin as he looks to the neighboring rooftop.
“Wait!” Vera exclaims. “First let's find the distance! Here, take a look at this diagram.”
“I’ve never much cared for math,” Denis frowns.
Vera rolls her eyes. “We know the distance between us, and we know the angles between ourselves and your target landing point. All we need to do is...”
Denis jumps.
“...apply the law of sines.” Vera gasps.
According to Vera's diagram, how far did Denis need to jump to reach the neighboring rooftop?

Answer:

Step-by-step explanation:

B is correct.  This choice accurately describes the sample.

10

Step-by-step explanation:

first what is 10 take away 2 is 8 then 10 take away 2 is 8 + 2 equals 10 8 + 2 equals 10 so that's how I got the answer 10

Answer: 10cm^3 equals density please give briainliest

Step-by-step explanation: formula D=M/V

so D=20/2

D=10cm^3

The -1 inside the parenthesis is an x value and the blank is a y value.

f(x) = y

Replace x in the equation with -1 to solve for y:

-2(-1) + 3 = 2+ 3 = 5

The answer is 5

Answer:

Reflect across the line y = x (x, y) -> (y, x)

Step-by-step explanation:

The simplest way is just one step, a reflection across the line y=x.  when doing this the rule is (x, y) -> (y, x).

There are a number of ways to do it otherwise, such as a reflection across the x axis then the y axis, or the other way around, or a translaton then reflection.  Like I said though, the reflection across y=x is the fastest.  Let me know if you have any further questions.  

Final answer:

There are 216 calories in 1 cup of yogurt.

Explanation:

To find out how many calories are in 1 cup of yogurt, we can use the given information that there are 162 calories in 3/4 cup of yogurt. We can set up a proportion to solve for the number of calories in 1 cup:

(3/4 cup) / (162 calories) = (1 cup) / (x calories)

By cross-multiplying, we get:

3/4 * x = 162 * 1

Simplifying the expression:

3x/4 = 162

Multiplying both sides of the equation by 4/3:

x = (162 * 4) / 3 = 216 calories

Therefore, there are 216 calories in 1 cup of yogurt.

Answer:

3/4, 75% chance

Step-by-step explanation:

you have four in total, three of which are not c, so you have a three out of four chance of NOT picking c. 3/4 as a percentage is 75%

Answer:

25%

Step-by-step explanation:

On MobyMax its 25%

Answer:

24+8 square root 3

Step-by-step explanation:

The ratio is x : x radical 3 : 2x

hypotenuse= 2x= 16

x =8

x square root 3 = 8 square root 3

16+8=24

Answer:

180x cubic feet

Step-by-step explanation:

Multiply 15, 12 and x together.

Answer:

180x

Step-by-step explanation:

you multiply 12 and 15 and x.

Answer:

No answer choices are correct; y=-9/6x-3

Step-by-step explanation:

Slope=Rise/Run=(3-(-6))/(-4-2)=9/-6=-9/6

y=-9/6x+b

3=-9/6(-4)+b

3=36/6+b

3=6+b

-3=b

So the equation is y=-9/6x-3, so none of your answer choices are correct

The answer will be 150.8

Answer: AL≈150.8

Step-by-step explanation:

AL=2πrh

AL=2π3(8)

AL=2π24

AL=150.8 Rounded up

Answer:

The correct answer is B. 1 in 12.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Percentage of the U.S. population that catches the flu each season = 8%

8% = 8/100

2. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season?

Let's review together each of the possible answers given:

A. 1 in 8  = 1/2 = 0.125 = 12.5%, this is not the percentage given.

B. 1 in 12  = 1/12 = 0.083 = 8.3%, if we round to 8%, this is the percentage given.

C. 1 in 18  = 1/18 = 0.056 = 5.6%, this is not the percentage given.

D. 1 in 80 = 1/80 = 0.0125 = 1.25%, this is not the percentage given.

The correct answer is B. 1 in 12.

Answer:

Step-by-step explanation:

When dividing fractions, I use a method called Keep Change Flip. Let's use the example 1/2 divided by 3/4 as an example. First, you have to keep the first fraction the same. This is what you currently have: 1/2 / 3/4. Next, you have to change the divison sign into a multiplication symbol. Now, this is what it should look like: 1/2 x 3/4. Then, you have to flip the fraction 3/4 into 4/3. Now, you have 1/2 x 4/3. Multiply the fraction. If you don't know how to, multiply numerator by numerator, denominator by denominator. You should get 4/6. However, this isn't your final answer. You can simplify this by dividing by 2 to get 2/3. So, your answer is 2/3. Hope this helped you and let me know if you need more help! :D

Answer:

B is the answer I Know it is wright

Step-by-step explanation:

so you add 25 and 19 and then divide 44 and 2 and get 22

Answer:

5ft

Step-by-step explanation:

1.1j=5.5ft

Divide both sides by 5.5

So: j=5ft.  This is the previous jump

Answer:

50%

Step-by-step explanation:

2, 4, 6 = 3 composite numbers

There are six numbers. Count the number of composite numbers.

Write it as a fraction.

3/6

Then convert it to a percent.

3/6 converts to 50%

To solve the problem, let's start by understanding what a number cube is and what a composite number is.
A number cube is typically a six-sided die, with each side having one of the numbers 1, 2, 3, 4, 5, or 6. Each number has an equal chance of appearing on the top when the cube is rolled.
A composite number is a whole number that has more than two distinct positive divisors. In other words, it can be divided evenly by numbers other than 1 and itself. The smallest positive composite number is 4 because it can be divided by 1, 2, and 4.
Let's list all the positive composite numbers that are on a standard number cube:
- 4 can be divided by 1, 2, and 4.
- 6 can be divided by 1, 2, 3, and 6.
The numbers 2 and 3 are not considered composite numbers, even though they are divisible by numbers other than 1 and themselves; this is because they are prime numbers, having exactly two distinct positive divisors (1 and the number itself).
Now, let's determine the probabilities.
The probability (P) of an event is given by the number of favorable outcomes (f) divided by the total possible outcomes (t), or P = f / t.
For a number cube, the total possible outcomes when rolling the cube are 6 (since there are 6 sides).
The favorable outcomes for rolling a composite number on a number cube are the outcomes where the top number is either 4 or 6.
Thus, f (favorable outcomes for rolling a composite number) = 2 (just the numbers 4 and 6).
Now, we can calculate the probability:
P(composite number) = f / t = 2 / 6
We can simplify this fraction by dividing both the numerator and the denominator by 2:
P(composite number) = 1 / 3
Hence, the probability of rolling a composite number on a standard number cube is 1/3.

Answer:

$34.70 rounded to $35, $278.22 rounded to $278, $45.89 rounded to $46, $8.38 rounded to $8.

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

b)48

Step-by-step explanation:

Answer:

B) x = 11

Step-by-step explanation:

Add 4 to both sides

x - 4 + 4 = 7 + 4

x = 11

Steps to solve:

x - 4 = 7

~Add 4 to both sides

x - 4 + 4 = 7 + 4

~Simplify

x = 11 (Option B)

Best of Luck!

The inequality to represent the number of hours when Kent has ridden more than 30 miles is y = 6x for x > 5, where x is the number of hours ridden and y is the distance in miles.

Step-by-step explanation:

Step 1:

First, we need to plot the coordinates of the line on the graph.

We plot the points that fall exactly on an x axis value and also on a y axis value.

There are three such points on the given graph; (5, 30), (10, 60) and (15, 90). These points fall exactly on the values of the x axis and the y axis.

Step 2:

Now, we establish a relationship between the values of x (the number of hours ridden) and y (distance in miles).

Here y is the dependent value and x is the independent value i.e. the value of y values according to the values of x.

In 5 hours, Kent rode 30 miles. In 10 hours, he rode 60 miles and in 15 hours he rode 90 miles.

Step 3;

So for every 5 hours, Kent rides another 30 miles.

So y = 6x for x>5 is the

When x = 10, y = 6 × 10 = 60 miles,

When x = 15, y = 6 × 15 = 90 miles.

If they had six bags of cookies and each bag has thirteen cookies, then in total they have a total of seventy-eight cookies. If they've eaten twenty-nine cookies, then they now have forty-nine cookies because 78-29=49.

Step-by-step explanation:

The question above is answered below.

Consecutive numbers are set of numbers that follow one another in ascending or descending order, e.g. 1, 2, 3, 4, 5....

The sum of three consecutive numbers = 72

Let the unknown consecutive numbers be represented by x+1, x+2 and x+3 such that:

[tex](x + 1) + (x + 2) + (x + 3) = 72[/tex]

Remove the brackets

[tex]x + 1 + x + 2 + x + 3 = 72[/tex]

Collect like terms and simplify

[tex] x + x + x + 1 + 2 + 3 = 72[/tex]

[tex]3x + 6 = 72[/tex]

Make 3x subject of formula by subtracting 6 from both sides

[tex]3x + 6 - 6 = 72 - 6[/tex]

[tex]3x = 66[/tex]

To obtain the value of x, divide through by the coefficient of x, which is 3. Hence;

[tex] \frac{3x}{3} = \frac{66}{3} [/tex]

[tex]x = 22[/tex]

Since x = 22,

[tex]x + 1 = 22 + 1 = 23[/tex]

[tex]x + 2 = 22 + 2 = 24[/tex]

[tex]x + 3 = 22 + 3 = 25[/tex]

The smallest of these numbers is 23.

Check,

23 + 24 + 25 = 72

Answer:

All functions have a dependent variable.

All functions have an independent variable.

A horizontal line is an example of a functional relationship.

Step-by-step explanation:

i did it n got it right yayyyyyyyy

Answer:

the volume of the triangular prism is 1,185.6  in³

Step-by-step explanation:

To find the volume of these triangular prism, we will, first, find the area of the triangle then multiply by the length

Area of triangle = [tex]\frac{1}{2}[/tex] × b×h

From the diagram ,the height of the triangle  is given to be 10.4 in and the base is given to be 12 in.

We will now proceed to insert the values into the formula;

                 Area of triangle  = [tex]\frac{1}{2}[/tex] × b×h

                                              = [tex]\frac{1}{2}[/tex] × 12×10.4

                                                = [tex]\frac{1}{2}[/tex] × 124.8

                                                 =62.4

Area of triangle is 62.4 in²

From the diagram is given to be 19 in

Volume of triangular prism = area of triangular prism × l

                                              =62.4 in²   ×    19 in

                                              =1,185.6  in³

Therefore the volume of the triangular prism is 1,185.6  in³

39>38

16=16

11<315

5>4

Hope this helps you mate

~♥~♪☆＼(^０^＼) ♪(／^-^)／☆♪☆＼(^０^＼) ♪(／^-^)／☆♪＼(*＾▽＾*)／＼(*＾▽＾*)／♪☆＼(^０^＼) ♪(／^-^)／☆♪ ♬ ヾ(´︶`♡)ﾉ ♬ ♪

Answer:

[tex]\sum_{i=1}^{12}(3i-1) = 222[/tex]

Step-by-step explanation:

The given series is

[tex]\sum_{i=1}^{12}(3i-1)[/tex]

The first term is

[tex]f(1) = 3 \times 1 - 1 = 2[/tex]

The last term is

[tex]f(12) = 3 \times 12 - 1 = 35[/tex]

To find the number of terms in the sequence, solve,

[tex]3i - 1 = 35[/tex]

[tex]3i = 36 \\ i = 12[/tex]

The sum of the first i-terms of an arithmetic sequence is:

[tex]S_i = \frac{i}{2} (f(1) + f(2))[/tex]

We substitute the values to get;

[tex]S_ {12}= \frac{12}{2} (2+ 35)[/tex]

[tex]S_ {12}=6(37)[/tex]

[tex]S_ {12}= 222[/tex]

Part a: The value of x is 33°

Part b: The measure of each base angle is 69°

Explanation:

It is given that the vertex angle of an isosceles triangle measures 42°.

The base angle in the triangle has a measure of [tex](2x+3)^{\circ}[/tex]

Part a: To determine the value of x

Since, in an isosceles triangle the base angles are always equal.

Thus, the three angles in an isosceles triangle add up to 180°

Hence, we have,

[tex]42+2x+3+2x+3=180[/tex]

              [tex]42+4x+6=180[/tex]

                     [tex]4x+48=180[/tex]

                             [tex]4x=132[/tex]

                               [tex]x=33^{\circ}[/tex]

Thus, the value of x is 33°

Part b: To find the measure of each base angle.

Base angle = [tex](2 x+3)^{\circ}[/tex]

Substituting [tex]x=33^{\circ}[/tex] , we get,

[tex]Base \ angle = (2(33)+3)^{\circ}[/tex]

                  [tex]=(66+3)^{\circ}[/tex]

                  [tex]=69^{\circ}[/tex]

Thus, the measure of each base angle is 69°

Answer:

33 and 69 lol funny number

Step-by-step explanation:

Answer:

[tex]\displaystyle y'' = \frac{-75}{16y^7}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]  

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Implicit Differentiation

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y^4 + 5x = 21[/tex]

Step 2: Find 1st Derivative

Step 3: Find 2nd Derivative

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

Thirty-one increased by fourteen OR

31 + 14 is 45

Step-by-step explanation:

First- Line up the numbers

When you add, you want to line up the numbers. It makes it easier to add up.

[tex]\left\begin{array}{ccc}31\\&+\\14\end{array}\right\\---[/tex]

Second - Add the numbers

You want to do the ones side first

31 = Three tens and one

14 = One ten and four ones

So you do 1+4 first

[tex]1+4=5\\\\\mathrm{To\:check...}\:\\5-1=4\\5-1=4\\\\\mathrm{Fact\:Family!}\:[/tex]

Then you go on the tens side

Like I said before...

31 = Three tens and one

14 = One ten and four ones

So now we add 3+1

[tex]1+3=4\\\\\mathrm{To\:check...}\:\\4-3=1\\4-1=3\\\\\mathrm{Fact\:Family!}\:[/tex]

You add a 0 to the sum of the numbers because it is in the tens place...

So 4 becomes 40!

Finally - Add your sums up!

Now we add our 40 from our tens plus our 5from our ones and get

45!

So thirty-one increased by fourteen is...

45!

Hope this helps you!

Have a wonderful night!

Answer:

I will guess 21

Step-by-step explanation:

9+10=21 boi

Answer:

for Usatestprep it is 21

Step-by-step explanation:

i swear 100%