Answer:
2 2/3
Step-by-step explanation:
8/3= 2 2/3
Find out how many times 3 goes into 8.
3 goes into 8: 2 times
Because
3x2=6
8-6=2
Then you keep the Denominator, 8.
Answer:
For example, since the denominator of the improper fraction 8/3 goes into its numerator 2 times—in other words, since 8 ÷ 3 = 2 remainder 2—we know that the whole number part of the mixed fraction representing the improper fraction 8/3 is 2. That's half the answer
Step-by-step explanation:
Hope this helps!!!!
factor: 10xsquared -11x-6=
Answer:
(5x+2)(2x-3)
Step-by-step explanation:
this is the answer
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
Answer:
(0, 5)
Step-by-step explanation:
To solve for the y-intercept, plug in 0 for all x values and solve.
Find the sum of the first 15 terms: {12, 36, 108, . . . }.
Answer:
Step-by-step explanation:
hello : here is an solution
Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am, how many words will she speak?
Answer:
10125
from 10:30 to 11:15 is 45 mins so 225*45=10125
If Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am then she can talk 2025 words.
What is Equation?Two or more expressions with an equal sign is called as equation
Given that,
Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am, we need to find number of words she can talk 10:30 am to 11:15 am.
We know that in 1 hour we have 60 minutes.
From 10:30 am to 11:15 am we have 45 minutes.
Now we can formulate an equation
225/5=x/45
Apply cross multiplication
225×45=5x
10125=5x
Divide both sides by 5.
x=2025.
Hence 2025 words she can talk from 10:30am to 11:15am.
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Find the height of a cylinder with a volume of 30 ins and a radius of 1 in.
9.5 cm
10 cm
8.5 cm
Answer:
The height of this cylinder = 9.55 ins
Step-by-step explanation:
Volume cylinder = pi * r² * h = 30 ins
r=1
pi * r² * h = 30
pi * 1² * h = 30 ins
h = 30/pi
h = 9.55 ins
What are they?
Equal Lines?
Parallel Lines?
perpendicular Lines?
None of the above?
Answer:
Equal lines
Step-by-step explanation:
-5x-y = -4
Multiply by 3
-15x -3y = -12
This is the same as the second equation
That means the lines are the same
They are equal lines
can someone pls help me
Answer:
45 + x * 0,5 < 50
x * 0,5 < 50 - 45
x * 0,5 < 5
x < 5/0,5
x < 10
Please Find the surface area of the sphere. Round your answer to the nearest hundredth.
An orange is shot up into the air with a catapult. The function h given by h(t)=15+60t-16t^2 models the orange’s height, in feet, t seconds after it was launched select all the true statements about the situation.
Complete question is:An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60t - 16t² models the orange’s height, in feet, t seconds after it was launched.
Select all the true statements about the situation.
Options:
1. The domain of function h only contains values greater than or equal to 0.
2. The orange is at the same height 1 second after launch and 2 seconds after launch.
3. After 3 seconds, the orange has hit the ground.
4. The orange is 15 feet above the ground when it is launched.
5. The value t = 10 does not belong to the domain of h.
Answer:
Option 1 - True
Option 2 - False
Option 3 - False
Option 4 - True
Option 5 - True
Step-by-step explanation:
Looking at the options,
-The domain is the x or t value and it is time. Now, time can only be positive or greater than or equal to zero i.e. t ≥ 0. Thus, option 1 is true.
- At t = 1 second;
h = 15 + 60(1) - 16(1)²
h = 15 + 60 - 16 = 59 ft
Also, at t = 2 seconds;
h = 15 + 60(2) - 16(2)²
h = 15 + 120 - 64 = 71 ft
So,value of h is not the same at t = 1 and t = 2. Thus, option 2 is not true.
- The orange will hit the ground when h(t) = 0.
However, at t = 3;
h(t) = 15 + 60(3) - 16(3)²
h(t) = 51 ft
h(t) is not equal to zero at t = 3, so option 3 is false
- when the orange is launched it is at time t = 0.
Thus,
h(0) = 15 + 60(0) - 16(0)²
h(0) = 15 ft
So option 4 is true.
- At t=10, h(t) = 15 + 60(10) - 16(10)²
h(10) = -985
This means the orange would be below ground level and thus doesn't belong to the domain of h, so option 5 is true.
Answer:
1 true 4 true and 5 true the rest are false
Step-by-step explanation:
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$39,000
Step-by-step explanation:
i = prt
i = ($30,000)(.10)(3)
$9000 + 30000
Answer:
$39000
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 30000 × 10/100 × 3
I = $9000
She have = 9000 + 30000 = $39000
What is the measure of 0 in radians?
Enter an exact expression.
radians
3
7
In the diagram, is a central angle.
Answer:
Θ = π radians
Step-by-step explanation:
The central angle is equal to the arc that subtends it, that is
Θ = π
For this question, we are concerned with the movement of an object
along a path in the plane. We are assuming that the plane is a
coordinate plane and the object starts at the point. As the object
moves along the path, each point on that path has two coordinates.
The coordinates depend on the distance traveled along the path. Let
us call this distance S, the length of the path from the origin to a point
P on the path.
What value of s yields the coordinate (3, 4)?
What value of s yields the coordinate (9, 1)?
x (6) =
y (7) =
Answer:
We have to questions here where we need to find the distance from the origin to each given point.
For (3,4).The formula for distance is
[tex]s=\sqrt{x^{2}+y^{2} }[/tex]
[tex]s_{(3,4)}=\sqrt{3^{2}+4^{2} } =\sqrt{9+16}=\sqrt{25}\\ s_{(3,4)}=5[/tex]
Therefore, the value s that yields the coordinate (3,4) is 5 units.
For (9,1).[tex]s_{(9,1)}=\sqrt{9^{2}+1^{2} } =\sqrt{81+1}=\sqrt{82}\\ s_{(9,1)} \approx 9.05[/tex]
Therefore, the value s that yields the coordinate (9,1) is 9.05 units, approximately.
The values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
The coordinates are given as:
(3,4) and (9,1)
The single value that yields the coordinates is calculated as:
[tex]s = \sqrt{x^2 + y^2}[/tex]
For (3,4), we have:
[tex]s = \sqrt{3^2 + 4^2} = 4[/tex]
For (9,1), we have:
[tex]s = \sqrt{9^2 + 1^2} = 9.1[/tex]
Hence, the values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
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PLEASE ANSWER ASAP will give beau ly
Answer: 23
Hope this helps :D
Answer:
h=39+16t
Step-by-step explanation:
Simplifying
h(t) = 16t2 + 39t
Multiply h * t
ht = 16t2 + 39t
Reorder the terms:
ht = 39t + 16t2
Solving
ht = 39t + 16t2
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Divide each side by 't'.
h = 39 + 16t
Simplifying
h = 39 + 16t
PLEASE HELP ME! Awarding brainliest!!
Pythagorean theorem.
Answer:
116.6
Step-by-step explanation:
100^2 + 60^2 = c^2
1360 = c^2
square root of 1360 is 116.6
Answer:
Shortcut = 116.62
Step-by-step explanation:
Hypotenuse = [tex]\sqrt{a^{2} +b^{2} } = \sqrt{60^{2} +100^{2} } = 116.61904 = 116.62[/tex]
A cube has side length a.The side lengths are decreased to 30% of their original size.Write an expression in simplest form for the volume of the cube in terms of a.
Answer:
Volume V = 0.027a^3
Step-by-step explanation:
Let a represent the length of the side length of the cube.
a.The side lengths are decreased to 30% of their original size;
l = 30% of a
l = 0.3a .....1
The volume of a cube can be expressed as;
V = l × l × l
V = l^3 .......2
Where;
l = side length
Substituting the value of l into equation 2;
V = l^3 = (0.3a)^3
V = 0.027a^3
Volume V = 0.027a^3
Suppose compact fluorescent light bulbs last, on average, 11,500 hours. The distribution is normal and the standard deviation is 400 hours. What percent of light bulbs burn out within 12,300 hours?
Answer:
2.275%
Step-by-step explanation:
The first thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours
Plugging the values we have;
z-score = (12,300-11,500)/400 = 800/400 = 2
Now, we want to calculate P(z ≤ 2)
This is so because we are calculating within a particular value
To calculate this, we use the z-score table.
Mathematically;
P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275
To percentage = 2.275%
Simplify the complex fraction.
Alw
2 3/4 1 1/8
Answer:
= 99/32
Step-by-step explanation:
2 3/4 1 1/8
= 11/4 * 9/8
= 99/32
Question 5
5 pts
Elijah spent $5.25 for lunch every day for 5 school days. He spent $6.75 on Saturday.
How much did he spend in all?
Answer:
$35
Step-by-step explanation:
$5.25 x 5 days=$26.25
then $26.25 + 6.75= $33
The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I (d B) = 10 log left-bracket StartFraction I Over I Subscript 0 Baseline EndFraction Right-bracket, where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when I = 10 Superscript 32 Baseline (I Subscript 0)?
Answer:
The intensity in decibel is 320 decibelStep-by-step explanation:
Given the intensity, or loudness, of a sound measured in decibels (dB), according to the equation [tex]I (dB)= 10log(\frac{I}{Io} )[/tex] where;
I is the intensity of a given sound and
[tex]Io[/tex] is the threshold of hearing intensity
To get I(dB) when [tex]I=10^{32} Io[/tex]
We will substitute the value of I = [tex]I=10^{32} Io[/tex] into the equation above to have;
[tex]I (dB)= 10log(\frac{10^{32}Io }{Io} )\\I(dB)=10log10^{32}\\ I(dB)=32*10log10\\[/tex]
Since log10 = 1;
[tex]I(dB)=32*10(1)\\I(dB)=320[/tex]
The intensity in decibel is 320 decibel
Answer:
Its D or 80
Step-by-step explanation:
I=10^8 (I subscript 0) can be written as I/I subscript 0, and you can plug that right into the log to get 80.
Priya says, "There are exactly 4 points that are 3 units away from (-5, 0)." Lin says, "I think there are a whole bunch of points that are 3 units away from (-5, 0)." Do you agree with either of them?
Answer:
"I think there are a whole bunch of points that are 3 units away from (-5, 0)". Lin's statement is correct.
Step-by-step explanation:
from the question, the point has a coordinate (-5, 0) which can be plotted on a Cartesian plane to show its location or position. A Cartesian coordinate is a system that consists of two perpendicularly intersecting axis used for plotting of the locations or positions of given points.
There are a whole bunch of points that are 3 units away from (-5, 0) because real numbers that are 3 units away are more than 4. Real numbers consists of all rational numbers, fractions and irrational numbers. So if all real numbers that are 3 units away from (-5, 0) are plotted, then the points would be more than 4.
Therefore, Lin's statement is correct.
Study the topographic map.
Which best describes the location of the picnic area?
X 877
Two creeks flow through the picnic area.
Several steep slopes are found inside the picnic area.
The elevation changes from 635 to 600 at the picnic area.
The highest point inside the picnic area has an elevation
of 859.
5
800
700
Equation
700
635
+ Picnic Area
600
Answer:
The correct answer is C) The elevation changes from 635 to 600 at the picnic area.
Lightning strikes Earth 1000 times in 10 seconds. a. How many times does lightning strike in 12 seconds? Lightning strikes times in 12 seconds. Question 2 b. How many seconds does it take for lightning to strike 7250 times? It takes seconds for lightning to strike 7250 times.
Answer:
1000/10x12= answer
Step-by-step explanation:
Part A:
Divide the number of lightning strikes to the number of seconds to find the average rate.
1000 / 10 = 100 strikes per second
Now, multiply by 12 to find the number of strikes that occurred.
100 * 12 = 1200 strikes in 12 seconds
Part B:
Divide the number of seconds to the number of lightning strikes to find the average rate.
10 / 1000 = 0.1 seconds per strike
Now, multiply by 7250 to find the number of seconds that passed.
0.1 * 7250 = 72.5 seconds in 7250 strikes
Best of Luck!
Which equation could be used to find the length of the hypotenuse?
Answer:
A
Step-by-step explanation:
Answer:
6^2+11^2 = c^2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2+11^2 = c^2
Graph the inequality of y less than or equal to2x + 2?
First you graph "y = 2x +2." You shade in the region below it, because it's y "LESS THAN" and you keep the line solid (not dotted) because it's "equal to" 2x+2 too.
Annette plans to visit an amusement park where she must pay for admission and
purchase tickets to go on the rides. Annette wants to find the total cost for a day at
the amusement park. She wrote the equation c = 1.50x + 12 to predict c, the total cost
for a day at the amusement park. What could the number 12 represent in Annette’s
equation?
Answer:
...
Step-by-step explanation:
Answer: the cost of admission
Step-by-step
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?
Answer:
The total earned after 30 days is 465000.
Step-by-step explanation:
The amount of money that I'll recieve can be modelled as a arithmetic sequence in which the next element is related to the prior by a sum of a rate "q". This sequence can be seen below:
{1000, 2000, 3000, ...}
Where q = 1000. In order sum all the "n" terms on a sequence of this kind we can use the following formula:
Sn = (n/2)*(a1 + an)
And to find the term an, we can use the formula:
an = a0 + (n-1)*r
Where n is the position of the number we want to calculate, in this case 30, a0 is the first number on the sequence and r is the rate between consecutive numbers. So the 30th term is:
a30 = 1000 + (30 -1)*1000
a30 = 1000 + 29*1000
a30 = 1000 + 29000 = 30000
And the total obtained is:
s30 = (30/2)*(1000 + 30000) = (30/2)*(31000)
s30 = 930000/2 = 465000
The total earned after 30 days is 465000.
Leanne is trying to convert x^2+4x-6=0 the standard form to vertex form by completing the square which equation shows the correct form
Answer:
In vertex form we have y = (x + 2)^2 - 10
Step-by-step explanation:
x^2+4x-6=0 is in standard form; we want it in the form y - k = a(x - h)^2.
Complete the square within x^2+4x-6=0
We get x^2 + 4x - 6 = 0 => x^2 + 4x + 4 - 4 - 6, or
y = (x + 2)^2 - 10
Comparing this to y = (x - h)^2 - 10, we see that the vertex is at
(h, k) : (-2, -10)
Answer: [tex](x+2)^2-10=0[/tex]
Step-by-step explanation:
[tex]x^2+4x-6=0[/tex]
Let 0 = y to not mix up the numbers.
[tex]x^2+4x-6=y[/tex]
we are trying to get to this form: [tex]y=a(x-h)^2+k[/tex]
Let's group the variables to make it easier for us to complete the square.
[tex](x^2+4x)-6=y[/tex]
Complete the square by taking the number next to the x variable (4) divide it by 2 (4/2=2) and square it ([tex]2^2=4[/tex])
Add this.
[tex](x^2+4x+4)-6=y[/tex]
You also have to add it to the right side, but since we're looking to isolate y again, we're going to have to move it to the left side eventually; therefore, we can simply change the sign and add it to the left side.
In other words, instead of doing this:
[tex]-6=y+4\\-6-4=y[/tex]
I'm going to directly say the opposite of +4 is -4
[tex](x^2+4x+4)-6-4=y[/tex]
Now factor the parentheses and combine like terms;
[tex](x+2)^2-10=y[/tex]
And like we said y = 0, so change that...
[tex](x+2)^2-10=0[/tex]
9.3 with a bar on top as a fraction
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3-2: MathXL for School: Practice & Problem Solving
3.2.PS-8
Find the value of x when 6 - 2x = 5x - 9x + 10.
The value of x is
Answer:
Step-by-step explanation:
6 - 2x = 5x - 9x + 10 {add the like terms}
6 - 2x = - 4x + 10 {add (-6) to both side}
6 - 2x - 6 = - 4x + 10 - 6
-2x = - 4x + 4 {add 4x to both sides}
-2x + 4x = -4x + 4 + 4x
2x = 4 {divide both sides by 2}
2x/2x = 4/2
x = 2
Deposits into a bank account are represented by numbers. Withdrawals from the account are represented by negative numbers. Which amount represents a withdrawal of less than $ 200?
Answer:
The answer is (-$200) to the left
Step-by-step explanation:
Solution
It is assumed that when a number is positive, it is a distance to the right, also when a number is negative, it is a distance to the left. If a positive number is referred to as deposit to a bank account, then a negative number is a withdrawal from that bank account.
So, If a positive number means addition, then a negative number would also mean subtraction.
The amount that represents a withdrawal of less than $200 would be (-$200)