Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Evaluate
[tex](1+\sqrt{2})^3 + (1-\sqrt{2})^3[/tex]
As we have the Cube binomials:
[tex]\boxed{(a+b)^3=a^3+3a^2b+3ab^2+b^3}[/tex]
[tex]\boxed{(a-b)^3=a^3-3a^2b+3ab^2-b^3}[/tex]
[tex](1+\sqrt{2})^3 =1^3 + 3\cdot 1^2 \cdot\sqrt{2} + 3 \cdot 1 \cdot (\sqrt{2}) ^2 + (\sqrt{2}) ^3 = \boxed{7+5\sqrt{2}}[/tex]
[tex](1-\sqrt{2})^3 =1^3 - 3\cdot 1^2 \cdot\sqrt{2} + 3 \cdot 1 \cdot (\sqrt{2}) ^2 - (\sqrt{2}) ^3 = \boxed{7-5\sqrt{2}}[/tex]
[tex]\therefore (1+\sqrt{2})^3 + (1-\sqrt{2})^3 =7+5\sqrt{2} + 7-5\sqrt{2} = \boxed{14}[/tex]
Jenny wants to earn $1,300 by the end of the summer. If Jenny earned $127.05 babysitting in one week, how much more money will she need to earn to meet her goal?
Answer:
she will need $1,172.95
Step-by-step explanation:
Question is in the picture
Answer:
[tex]\huge\boxed{\sf x = 64 \ words}[/tex]
Step-by-step explanation:
Given that,
Memorized words = 16
These memorized words are 1/4 of the list.
Let the total words be x.
So,
[tex]\displaystyle \frac{1}{4} \ of \ the \ total \ words = 16[/tex]
Key: "of" means "to multiply" and total words = x
[tex]\displaystyle \frac{1}{4} \times x = 16\\\\Multiply \ both \ sides \ by \ 4\\\\1 \times x = 16 \times 4\\\\x = 64 \ words\\\\\rule[225]{225}{2}[/tex]
is 5/7 is whole number
Answer:
5/7 is a fraction, not a whole number.
Could I please have BRAINLIEST?
Which letter represents the location of the resister in this
diagram?
OA
OB
OC
OD
20 pts help ASAP please
Answer:
D
Step-by-step explanation:
A resistor in a circuit is represented by a ' zig- zag' line
this is the resistor at D
The following table represents the altitude of a hiker climbing in Mountain over a 60 minute hike. Calculate the average rate of change over the interval from 0 to 30 minutes.
A: The rate of change is about 90 feet per minute.
B: The rate of change is about 3 feet per minute.
C: The rate of change is about 2 feet per minute.
D: The rate of change is about 30 feet per minute.
Answer:
The correct answer is B. The rate of change is about 3 feet per minute
I hope this helped!
Answer:
B. The rate of change is about 3 feet per minute
Step-by-step explanation:
:)
Exponential Function:
Given the following functions, a table of values must be made, the sketch of the function, indicate the domain, route and if the function is increasing or decreasing:
(minimum evaluate 6 values per function for both tables and graph)
[tex]f(x) = 5 * 2^{x}\\\\f(x) = 2 * (\frac{1}{3})^x\\\\f(x) = -1 * 2^{x}[/tex]
Answer:
See below and attached
Step-by-step explanation:
Given functions
1. f(x) = 5*2ˣ
The graph and table of values attachedDomain is all real numbersRange is: (0, +oo)Function is increasing2. f(x) = 2*(1/3)ˣ
The graph and table of values attachedDomain is all real numbersRange is: (0, +oo)Function is decreasing3. f(x) = -1*2ˣ
The graph and table of values attachedDomain is all real numbersRange is: (-oo, 0)Function is decreasingThe answer is the first option.
Does anyone know the answer to this ?
True or False: 0 is a solution to 2x + 10 = 4x + 10
Answer:
Yes
Step-by-step explanation:
2x + 10 = 4x + 10
2(0) + 10 = 4(0) + 10
0 + 10 = 0 + 10
10 = 10
Best of Luck!
Answer:
TrueStep-by-step explanation:
Solution to 2x + 10 = 4x + 10
2x + 10 = 4x + 102x = 4x2x = 0x = 0Answer is True
Hello can someone help me out on this, please
Answer:
billy has 5 trucks, billy gets 5 taken away.
there are 2 oranges in the store, someone buys them.
Step-by-step explanation:
billy is taking a five-question true/false test. he did not study. he is going to guess on every question. how many different ways could billy fill out the test? for example one way to guess is f, f, t, t, t, and another guess would be t, t, f, f, f. determine all the possibilities and state how many exist.
Answer:
almost an infinite amount, here are just a few.
Step-by-step explanation:
fffff
ttttt
tftft
ftftf
ffttf
ttfft
ffftf
tttft
Find the midpoint of the line segment joining the points R(-3,3) and S(5,6).
A special shape is 2.02m x 1.22m long. A row of double tiles is needed to make a border. Each tile is 2cm x 2cm. How many tiles are needed to make the border?
Answer:
6161 tiles
Step-by-step explanation:
1 m = 100 cm
2.02 m x 1.22 m = 246.44
=246.44 x 100
=24644 cm
2cm x 2cm = 4 cm
4cm= 1 tile
24644cm divided 4cm
=6161
=6161 to make border
determine if the figures below are similar. if they are, identify the similarity statement.
Answer:
Yes the are similar, they are similar because they have the same angles. They are the same shape as each other, just dilated.
Part D
If the vertical length is 10, what is the horizontal length?
Answer: Its 10 because its congrugent.
Step-by-step explanation:
Answer:
5 Because in the graph it shows
Step-by-step explanation:
Because vertical is up and down so in the graph it shows that the purple section up and down is taking up 2 sections 10/2=5 and this means that one section is 5 units so the answer would be:
5 units
Tiyauna works at a beauty salon. Last month she received an average tip of $9 from her 88
clients. What was her tip income for the month?
Answer:
$792 is her total tip income for the month.
Step-by-step explanation:
If there are 88 clients, and each client gives an average tip of $9, we would multiply the two to get the total tip income for the month.
88x9 = 792
Answer:
$792
Step-by-step explanation:
Multiply the average tip amount ($9/client) by the number of clients (88) to obtain this person's tip income for the month:
($9/client)(88 clients) = $792
How would I find the missing angle
Answer:
∅ = 16.2602°
Step-by-step explanation:
cos∅ = adjacent / hypotenuse
Since we are dealing with right triangles, we can use trigonometry to help us solve for the missing angle.
cos∅ = 24/25
∅ = cos⁻¹(24/25)
∅ = 16.2602°
which graph represents the equation y=2/3x-2?
Answer:
you only show one graph in your picture
Find the distance between the points (-1,6) and (5,6)
Answer:
6
Step-by-step explanation:
Input Data :
Point 1 ( x A , y A ) = (-1, 6)
Point 2 ( x B, y B ) = (5, 6)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √ ( x B − x A ) 2 + ( yB −y A ) 2
Solution :
Distance between two points = √ ( 5 − − 1 ) 2 + ( 6 − 6 ) 2
= √ 6 ^2 +0^ 2
= √ 36 + 0
= √ 36 = 6
Distance between points (-1, 6) and (5, 6) is 6
solve the equations
5x-8y=14
5x-7y=6
Answer:
In the explanation. :)
Step-by-step explanation:
{x,y}={2,3}
Hope this helps. Have a great day!
Answer:
x = -10, y = -8
Step-by-step explanation:
We will use the method of elimination to find y.
Step 1: 5x - 8y = 14
-
5x - 7y = 6
Step 2: 0x - y = 8
Step 3: y = -8
Now, we have to substitute the y value into one of the original equations. In this case we will use the first equation which is 5x - 8y = 14.
5x - 8(-8) = 14
5x + 64 = 14
5x = - 50
x = -10
Just to make sure we have the right values, we will substitute both values into one of the equations.
5(-10) - 7(-8) = 6
-50 + 56 = 6
6 = 6 True
5(-10) - 8(-8) = 14
-50 + 64 = 14
14 = 14 True
Both of these values work, so they are the answers.
Hope this helps!
If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h= -9.8t^2 + 107.8t. During what interval of time will the rocket be higher than 294m ?
Answer:
[tex]5<t<6\\(5,6)[/tex]
Step-by-step explanation:
We know that the function of the height of a rocket after t seconds is:
[tex]h(t)=-9.8t^2+107.8t[/tex]
We want to find the interval of time such that the rocket is higher than 294 meters.
So, substitute 294 for h(t) and solve for t:
[tex]294=-9.8t^2+107.8t[/tex]
Just as it happens, everything is divisible by -9.8. So, divide everything by -9.8. This yields:
[tex]-30=t^2-11t[/tex]
Add 30 to both sides:
[tex]t^2-11t+30=0[/tex]
Factor. We can use -6 and -5. So:
[tex](t-6)(t-5)=0[/tex]
Zero Product Property:
[tex]t-6=0\text{ or } t-5=0[/tex]
Solve for each equation:
[tex]t=6\text{ or } t=5[/tex]
So, our answers are 5 seconds and 6 seconds.
Therefore, between the fifth and sixth second, the rocket is higher than 294 meters.
Note that at exactly the fifth and sixth second, our height is exactly 294 meters, not higher.
Therefore, we won't include 5 and 6 in our solution set.
As an inequality, this is:
[tex]5<t<6[/tex]
In interval notation, this is:
[tex](5,6)[/tex]
And we're done!
If 17 out of 30 sixth
grade students surveyed
have a sibling at CMS
then how many of the 300
sixth grade students have
a sibling?
Answer:
170
Step-by-step explanation:
Answer:
170
Step-by-step explanation:
To get to 300 from 30 you multiply by ten, so you also want to multiply 17 by ten.
Jared made strawberry jam and raspberry jam. He made enough strawberry jam to fill 4 5/6 jars. If he made 4/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?
PLEASE HELP
WILL MARK FIRST ANSWER BRAINLEST
Answer: 3.8 jars or 3 13/15
Step-by-step explanation:
The rental company charged a flat flee of $35.50 plus 15 cent per mile
Answer: 35.50+15x
Step-by-step explanation:
U start with the original 35.50 fee then the 15 cent fee is reoccurring which means u would add a variable to it. Hope this helps make brainliest and like and rate plz!
Plzzzzzzzz help right answer gets brainly
.................................
Answer:
17
Step-by-step explanation:
because the mode is the number the appeared the most
Amanda is going to build some large wooden storage boxes. The boxes are shaped like rectangular prisms, as shown below. She wants to cover all the sides of each box with special wallpaper. If she has a total of of wallpaper, how many boxes can she cover?
The number of boxes that Amanda can cover with W square inches of wallpaper will be equal to W/2(lw + lh + wh).
Let's assume that Amanda wants to build n wooden storage boxes. All of these boxes are shaped like rectangular prisms, as shown in the image below.
She wants to cover all the sides of each box with special wallpaper. If she has a total of W square inches of wallpaper, we need to find out how many boxes she can cover. Let's solve this problem mathematically.
Mathematical Solution:
Each rectangular prism has six sides (faces). If we want to cover all the six sides of a rectangular prism with special wallpaper, we need to find the total surface area of that rectangular prism. Therefore, the surface area of each rectangular prism can be calculated by the formula:
Surface Area = 2lw + 2lh + 2wh,
where l, w, and h are the length, width, and height of the rectangular prism, respectively.
We know that Amanda has W square inches of wallpaper to cover all the boxes. Therefore, the total surface area of n boxes will be:
n × Surface Area = W.
Substituting the value of the Surface Area, we have:
n × (2lw + 2lh + 2wh) = W
2n(lw + lh + wh) = W
n(lw + lh + wh) = W/2
n = W/2(lw + lh + wh).
To learn more about : number
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What is 5.5 cubic yards/1 minute in cubic feet/1 hr
please answer both for 50 points
Step-by-step explanation:
This question can't be answered......i
pic is not clearedWhich system of linear inequalities is represented by the
graph?
O y> x-2 and y < x + 1
O y x + 1
Oy sx-2 and y > x + 1
O y> x-2 and y < x + 1
The system of inequalities represented by the graph is y> x-2 and y < x + 1
What is an inequality?These are graphs that are plotted in order to show linear functions that are compared by the mathematical symbols <, >, ≥, ≤.
The inequality here shows a graph that has a Y axis and an x axis. The graph cuts across both axis.
Read more on the linear inequalities here:
https://brainly.com/question/17152894?referrer=searchResults
Grayson's car used 2 gallons to travel 30 miles. How far can he travel on 3 gallons?
Answer:
x = 45 miles
Step-by-step explanation:
We can use ratios to solve
2 gallons 3 gallons
-------------- = --------------
30 miles x miles
Using cross products
2x = 3*30
2x = 90
Divide by 2
2x/2 = 90/2
x = 45 miles
Answer:
He can travel 45 miles with 3 gallons
Step-by-step explanation:
If he traveled 30 miles with 2 gallons then that would mean each gallon lasted 15 miles, 30/2=15, therefore if there were 3 gallons he would travel 45 miles, 45/3=15
Complete the following sentences based on the graph.
This is the graph of a quadratic function.
The y-intercept of the graph is the function value y = 0.
The x-intercepts of the graph (in order from least to greatest) are located at x = 0 and x = 6.
The greatest value of y is y = 9.
For x between x = 0 and x = 6, the function value y > 0.
What is the graph of a quadratic function?In Mathematics, the graph of a quadratic function always form a parabolic curve or arc because it is u-shaped. Based on the graph of this quadratic function, we can logically deduce that the graph is a downward parabola because the coefficient of x² is negative and the value of "a" is greater than zero (0).
The y-intercept of the graph is represented by (0, 0) and the x-intercepts of the graph listed in order from least to greatest are located at the following points;
x = 0 ⇒ (0, 0)
x = 6 ⇒ (0, 6).
The greatest value or vertex (maximum value) of y is at y = 9. For x between x = 0 and x = 6, the function value y is always greater than 0.
Read more on quadratic functions here: brainly.com/question/29499209
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