Answer:
y= 2/3x + 28/3
Step-by-step explanation:
First, write your equation as y=2/3x+b. Plug in your coordinate into the equation, it should look like this: 6=2/3(-5)+b. Multiply 2/3 by -5 to get -10/3. It should look like this: 6= -10/3+b. Add 10/3 to both sides to get your y-intercept of 28/3. Go back to your original equation and plug 28/3 into b. This is your final equation: y= 2/3x + 28/3. Hope this helped!
An athlete jumped 5.5 feet which was 1.1 times higher than the previous jumper. How high did the previous athlete jump?
Answer:
5ft
Step-by-step explanation:
1.1j=5.5ft
Divide both sides by 5.5
So: j=5ft. This is the previous jump
Write a rule to describe each transformation. (What is the reflection?ex. Reflect with reaparece to x-axis, reflect across y=2, etc.)
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.
Robyn bought the following items in a supermarket. Can you help Robyn round each price to the nearest dollar. Item Actual Price Round to Nearest Dollar $ 34.70 $ $ 278.22 $ $ 45.89 $ 8.38
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:
The sum of three co secutive numbers is 72 what are the smallest of these numbers
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
Write an equation in slope-intercept form for the line passing through the pair of points. (2, –6), (–4, 3) Question 17 options: y = x + 3 y = x – 3 y = x – 3 y = x + 3
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
What is the volume of the triangular prism? Round to the nearest tenth.
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
According to the survey described here, what was the sample of the survey? “A recent telephone survey of 900 teenagers aged 16 to 19 from across the state shows 1 out of 4 of them drive themselves to school.”
A. all teenagers aged 16 to 19 in the state
B. 900 teenagers aged 16 to 19 from across the state
C. 1 out of 4 teenagers aged 16 to 19 from across the state
D. teenagers aged 16 to 19 from across the state who own a telephone
Answer:
Step-by-step explanation:
B is correct. This choice accurately describes the sample.
Kent is riding his bicycle. The graph shows the relationship between time in hours and the miles Kent rides. Write an inequality to show the number of hours when Kent has ridden more than 30 miles. Explain your answer.
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.
ƒ(x) = -2x + 3?
(-1, ___)
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
Lateral surface area of a cylinder with a radius of 3 and a height of 8
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
Y^4+5x=21 second derivative
Answer:
[tex]\displaystyle y'' = \frac{-75}{16y^7}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative 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:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative 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
Differentiate [Basic Power Rule, Chain Rule, Derivative Properties]: [tex]\displaystyle 4y^3y' + 5 = 0[/tex]Isolate y' term: [tex]\displaystyle 4y^3y' = -5[/tex]Isolate y': [tex]\displaystyle y' = \frac{-5}{4y^3}[/tex]Step 3: Find 2nd Derivative
Rewrite: [tex]\displaystyle y' = \frac{-5}{4}y^{-3}[/tex]Differentiation [Basic Power Rule, Chain Rule, Derivative Properties]: [tex]\displaystyle y'' = \frac{15}{4}y^{-4}y'[/tex]Rewrite: [tex]\displaystyle y'' = \frac{15}{4y^4}y'[/tex]Substitute in y': [tex]\displaystyle y'' = \frac{15}{4y^4} \bigg( \frac{-5}{4y^3} \bigg)[/tex]Simplify: [tex]\displaystyle y'' = \frac{-75}{16y^7}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
A circular puzzle is 20 inches in diameter. All of the pieces are about the same size. You want to know about how many pieces there are in the puzzle.
The problem discusses a circular puzzle of 20 inches in diameter. Without further information on the dimensions of the individual pieces, an exact number of pieces cannot be determined.
Explanation:The subject of this question is Mathematics and it is relevant to a Middle School grade-level. It involves understanding the concept of a circular puzzle and its diameter. Although the information provided about the icosahedron, which is with 20 faces and 12 corners, is fascinating, it is not directly applicable to the question about the circular puzzle.
To solve this problem, you need to consider the size of the typical puzzle piece. Since we don't have that information, we can't provide a precise number of pieces. For example, if each puzzle piece is 2 inches wide then there would be a different number of pieces than if each piece was 1 inch wide.
Learn more about Circular Puzzle here:https://brainly.com/question/36110386
#SPJ11
Help please!!! Find the sum of the series show your work
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]
if a number cube is rolled once, what is the probability that it will stop with a composite number on top
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.
Which store is offering the best deal
A.8 for $6
B.10 for $10
C.2 for $3
D¢0.8 each
And why
Answer:
?
Step-by-step explanation:
Replace the ? in each of these statements with the symbol >, <, or =.
a. 39 ? 38
b. 16 ? 16
c. 11 ? 315
d. 5 ? 4
39>38
16=16
11<315
5>4
Hope this helps you mate
~♥~♪☆＼(^０^＼) ♪(／^-^)／☆♪☆＼(^０^＼) ♪(／^-^)／☆♪＼(*＾▽＾*)／＼(*＾▽＾*)／♪☆＼(^０^＼) ♪(／^-^)／☆♪ ♬ ヾ(´︶`♡)ﾉ ♬ ♪
[tex]2a x 7b^{2}[/tex]
If that 'x' signifies multiplication, then,
[tex]2a * 7b^2 = (2*7)ab^2 = 14ab^2[/tex]
So,
[tex]2a*7b^2[/tex] simplifies to [tex]14ab^2[/tex]
How to divide fractions
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
ssignment
Active
Solving for Angle Measures of Isosceles Triangles
The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by
(2x + 3)" What is the value of x? What is the measure of each base angle?
Each base angle measures
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:
If the mass of an object is 20 g and the volume is 2cm3 what is the density
Answer: 10cm^3 equals density please give briainliest
Step-by-step explanation: formula D=M/V
so D=20/2
D=10cm^3
which statements are true of functions? check all that apply
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
Thirty one increased by fourteen
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!
look at the picture below
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.
There are 162 calories in 3/4 cup of yogurt. How many calories are in 1 cup?
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.
3) Find the value of x. A) 21 B) 27 C) 31 D) 34
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%
Solve for x in the equation x - 4 = 7.
A. X = -3
B. x = 11
C. x = 28
D. x = 3
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!
What value of y makes the equation below true?
2y−25=19
A
A) 44
B) 22
C) −3
D)−6
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
The Pham family bought 6 bags of cookies . Each bag had 13 cookies . They have since eaten 29 of the cookies . How many cookies do they have left ?
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.
my math is horrible, please help me understand to solve
4/5 of 35=
Answer:
28
Step-by-step explanation:
divide 35 by 5 and multiply the product by 4
35 ÷ 5 = 7
7 × 4 = 28
i have 5 minss helppppp!!!!!
Answer:that's it
Step-by-step explanation:
Answer:
totalCost = 150 + 12x
$210
-3.25x + 4.1
40x-24y
4(x+5)
6(x+9)
Step-by-step explanation:
let x = day
foodCost = 100 + 5x
gameCost = 50+ 7x
totalCost = 100 + 50 + 7x + 5x
totalCost = 150 + 12x
5 days
150 +12(5) = 150 + 60 = 210
75x+6 -2.5x-1.9
-3.25x + 4.1