Answer: A. [tex]\frac{1}{343}[/tex]
Step-by-step explanation:
First, apply exponent rule.
[tex]=\frac{1}{7^3}[/tex]
[tex]7^3=7*7*7=343[/tex]
[tex]=\frac{1}{343}[/tex]
Hope this helps!
Thank you for posting your question.
-Charlie
How do I work this out oof
I am so sorry for giving you the wrong answer at first.
Here's the processs
1x=-0.5555
Move the decimal point in the repeating decimal one space forward
10x=-5.55555
Then subtract
10x=5.5555
x=-0.5555= 9x=-5
Divide both sides by 9
9x=-5
9x/9=-5/9
-5/9 is your final answer!
Hope this helps!
Write a # where the value of the 4 in the thousands place is x1/10 the # 854,093
We are to find the place value of 4 in
854,093
Firstly, we can rewrite it
[tex]854,093=800000+50000+4000+000+90+3[/tex]
we can see that 4000 is added
so, the place value of 4 in 854,093 is
4000........Answer
Whic ordered pair is s solution of the equation y=5x
The Quotient 250 divided by 5/8 tells about how far a sloth may move in one hour How far can a sloth go in 90 minutes?
Given condition is:
A sloth moves in one hour = [tex]\frac{250}{5/8}[/tex]
[tex]\frac{5}{8}=0.625[/tex]
So, a sloth moves in one hour = [tex]\frac{250}{0.625}=400 units[/tex]
Hence, in 60 minutes a sloth moves = 400
In 1 minute sloth will move = [tex]\frac{400}{60}[/tex]
In 90 minutes it will move = [tex]\frac{400}{60}\times90=600[/tex]
The answer is 600 units.
Answer:
A sloth can move 600 units in 90 minutes.
Step-by-step explanation:
The problem says that if you divide 250 in [tex]\frac{5}{8}[/tex] you obtain how far a sloth move in one hour, then:
[tex]250:\frac{5}{8}=\frac{250.8}{5}= \frac{2000}{5}=400[/tex]
A sloth moves 400 units in one hour (60 minutes).
We can use a rule of three,
400 units ⇒ 60 minutes
x ⇒ 90 minutes
[tex]x=\frac{90.400}{60} \\\\x=\frac{36000}{60}\\\\x=600[/tex]
A sloth can move 600 units in 90 minutes.
Convert 6.7 hours to hours and minutes. A) 6 hours and 30 minutes B) 6 hours and 36 minutes C) 6 hours and 42 minutes D) 6 hours and 48 minutes E) 6 hours and 54 minutes
The answer would be C because 6.7 hours is converted to 402 minutes. In 6 hours, there are 360 minutes. 402-360=42, therefore 6.7 hours is equal to 6 hours and 42 minutes.
Final answer:
6.7 hours is equal to 6 hours and 42 minutes. The conversion is done by multiplying the decimal part of the hour by 60 to get the minutes.
Explanation:
To convert 6.7 hours to hours and minutes, first, note that the integer part of the number represents the hours. Therefore, we have 6 hours. The decimal part (0.7) represents the fraction of the hour. Since there are 60 minutes in one hour, we convert the fraction of the hour to minutes.
To do this, we multiply 0.7 by 60:
0.7 hours * 60 minutes/hour = 42 minutes
So, 6.7 hours is equal to 6 hours and 42 minutes, which corresponds to the answer C) 6 hours and 42 minutes.
What do you multiply 3.2 by to get 32?
The answer to this question is 10
A 10 meter ladder rest against a vertical wall so that the distance between the foot of the ladder and the wall is 2 meter. Find the angle the ladder makes with the wall and height above the ground at which the upper end of the ladder touches the wall
Answer:
78.46 degrees
Step-by-step explanation:
We can use inverse cosine of the measurements since we know the measurements and need the angle.
cos-1(2/10)= angle
Do this on a calculator and set the mode to degrees to get the answer
landon has 60 peppermints and 90 candy corns. he wants to make packages of these candies to bring to his school to pass out to his classmates. what is the maximum number of packages he can make so that there are no candies left over?
landon has 60 peppermints and 90 candy corns. he wants to make packages of these candies to bring to his school
the maximum number of packages we take GCF
GCF gives the maximum number of grouping
WE find GCF of 60 and 90
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 are the factors of 60
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 are the factors of 90
So greatest common factor is 30
Hence , 30 packages he can make so that there are no candies left over
Final answer:
To find out the maximum number of packages Landon can make, we calculate the greatest common divisor of 60 and 90, which is 30. Thus, Landon can create 30 packages of candies with none left over.
Explanation:
Landon has 60 peppermints and 90 candy corns. He wants to create packages so that there are no candies left over. To determine the maximum number of packages Landon can make without any leftovers, we need to find the greatest common divisor (GCD) of 60 and 90, which is the largest number that divides both without leaving a remainder.
Step 1: List the factors of each number.
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Step 2: Identify the common factors.
Common factors of 60 and 90: 1, 2, 3, 5, 6, 10, 15, 30
Step 3: Find the greatest common factor.
The greatest common factor is 30.
Therefore, Landon can make a maximum of 30 packages of candies to bring to school without any candies left over.
Him wants to run 1800 miles this year, and he plans to run at least 6 miles per day. If Jim has already run 720 miles so far this year, what is the maximum number of days that it will take him to run the remaining miles?
1800-720=1080
He has 1080 miles left, he'll run 6 days per day so 1080/6=180
He won't need more than 180 days
Answer:
Step-by-step explanation:
Write and solve an inequality for d, the # of days:
720 mi + (6 mi / day)d ≥ 1800 mi. Then:
(6 mi/day)d ≥ 1800 mi - 720 mi, or (6 mi/day)d ≥ 1080 mi.
Solving for d, we get 1080/6 days: 180 days. If he runs 6 miles per day for 180 days, he will have covered 1800 miles. His running more days will, of course, increase the total number of miles covered.
The temperature decreased at a constant rate for 12 hours. If the temperature dropped a total of 18 degress over thoes 12 hours, what was the hourly change in temperature?
1.5 degrees per hour
There was a decrease of 1.5 degrees per hour.
What is unit rate?A unit rate means a rate for one of something.
Given that, The temperature decreased at a constant rate for 12 hours, the temperature dropped a total of 18 degrees over those 12 hours,
In 12 h = -18 degrees
In 1 h = 18/12 = 1.5 degrees.
Hence, There was a decrease of 1.5 degrees per hour.
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What's the least common denominator of 5/6 and 3/10?
I do not know the answer I’m sorry
The least common denominator of 5/6 and 3/10 is 30.
Please help me!!!! I'm having a lot of trouble with this math
Line BD is intersecting Line AC making it perpendicular.
Triangle ABC is congruent to Triangle ADC because line AC bisects the kite.
Line AB is congruent to line AD because it is just a direct shift of the line
Angle BAC is congruent to angle DAC again because line AC bisects the kite, creating equal angles.
PLEASE HELP! 25 POINTS
listen the question number then answer
Answer: <
Explantion:
[tex]8*4-2(4)=24[/tex]
[tex]5(10-4)=30[/tex], because you factor the 5 into 10 and 4 so
[tex]50-20=30[/tex]
The second one you want will be integers.
1 . When x = 4
Lhs 8.4-2x = 32- 2(4) =32-8 =24
Rhs 5(10-x) = 5( 10- 4) = 5 (6)= 30 as lhs is less than rhs therefore sign will be <
2.the integers are all the counting numbers
Henri's bill at a restaurant is $19.62. He wants to leave a tip of 20%, or , of the bill. To find the exact amount of the tip, he should multiply the bill by .20. A good estimate for the amount of the tip is ____. A good estimate for the total bill, including the tip, is ____.
Answer:
The tip is $3.92. The total bill is $23.54.
Step-by-step explanation:
I simply used a calculator to find the answer. It's just basic multiplication for the tip and addition for the total bill.
Answer:
1st blank = $4
2nd blank = $24
Step-by-step explanation:
Henri's bill at a restaurant is $19.62. He wants to leave a tip of 20%
Estimated round off of $19.62 is $20.
Estimations are made for easy calculations in mind, this is why we round to nearest 0.
So, 20% of $20 is :
[tex]0.20\times20=4[/tex] dollars
And the total bill, including the tip is estimated to be :
= [tex]20+4=24[/tex] dollars
if f(x)=3/x+2- sqrt x-3 f(7)=?
To get the answer, you need to solve the equation for x = 7.
f(7) = 3/7 + 2 - sqrt(7) - 3.
= 3/7 - 1 - sqrt(7).
If you need to simplify it further:
= -4/7 - sqrt(7).
If you need it in decimal form: = -3.2171798824
Answer:
f(7)=-3.217
Step-by-step explanation:
We are given that [tex]f(x)=\frac{3}{x}-\sqrtx-3[/tex]
We have to find the value of f(7).
Substitute the value of x=7
Then, we get
[tex]f(7)=\frac{3}{7}+2-\sqrt7-3=\frac{3}{7}-1-\sqrt7[/tex]
[tex]f(7)=\frac{3-7}{7}-\sqrt7=-\frac{4}{3}-\sqrt7[/tex]
[tex]f(7)=-\frac{4}{7}-2.646[/tex]
Because [tex]\sqrt7=2.646[/tex]
[tex]f(7)=-\frac{4+18.522}{7}=-\frac{22.522}{7}[/tex]
[tex]f(7)=-3.217[/tex]
Hence, f(7)=-3.217
it is 3452 miles round trip to Craigs aunts house. if he travels to her house 3 times this year how many miles did he travel in all
3452 divide 2 multiply by 3 is 5178
Answer: There are 10,356 miles in all he traveled.
Step-by-step explanation:
Since we have given that
Number of miles round trip to Craigs aunts house = 3452 miles
Number of times he travels to her house this year = 3
So, we need to find the number of miles he travel in all.
So, the number of miles he travel in all is given by
[tex]3\times 3452\\\\=10,356\ miles[/tex]
Hence, there are 10,356 miles in all he traveled.
4x=x+8
just need written equation and anwser thank ya:)
y=-5x-20x-26
what is the axis of symmetry, the vertex, and sketch
Use number properties to simplify the following expression. -5 + (5 + 3)
please LIST the properties to simplify the expression
write 2.96 as a mixed number or fraction in simplest form show your work
To write 2.96 as a mixed number or fraction in simplest form, we divide the decimal part by 100, convert it to a fraction, and simplify it. The final answer is 2 24/25.
Explanation:To write 2.96 as a mixed number or fraction in simplest form, we first need to understand that 2.96 is a decimal number. The whole number part is 2 and the decimal part is 0.96. To convert the decimal part to a fraction, we take the decimal part as the numerator and 100 as the denominator. So, 0.96 becomes 96/100. Now, we can write the mixed number as 2 96/100. To simplify this fraction, we divide both the numerator and the denominator by their greatest common factor, which is 4. Dividing 96 by 4 gives us 24, and dividing 100 by 4 gives us 25. So, the simplest form of 2 96/100 is 2 24/25.
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olisa has a garden shop. One customer wants to buy 42 Snapdragon plants. There are six snapdragons in a pack. How many packs should olisa sell to her customer?
the answer for your problem is 7
1. The temperature in Buffalo, New York, one Saturday was 68°F. The temperature the following Monday was 80°F. Write an equation that shows the change in temperature when x represents the number of degrees the temperature increased.
2. How many degrees did the temperature increase? Show your work.
1) The equation for the change in temperature when x represents the number of degrees the temperature increased would be 68°F + x = 80°F. 2) Through the calculation, we find that the temperature in Buffalo, New York increased by 12°F from Saturday to the following Monday.
To answer the first part of the question, we need to write an equation showing the change in temperature from Saturday to Monday in Buffalo, New York. With x representing the number of degrees the temperature increased, we use the temperatures given: 68°F for Saturday and 80°F for the following Monday.
The equation representing this change would be: 68°F + x = 80°F.
To determine the value of x, which is the increase in temperature, we subtract the Saturday temperature from the Monday temperature:
80°F - 68°F = x
x = 12°F
Therefore, the temperature increased by 12 degrees Fahrenheit from Saturday to Monday.
If f(x)=3(x+5)+4/x what is f ( a+2 )
[tex]f(x)=3(x+5)+\dfrac{4}{x}\\\\f(a+2)\to\text{put x = a + 2 to the equation of the function f}\\\\f(a+2)=3(a+2+5)+\dfrac{4}{a+2}=3(a+7)+\dfrac{4}{a+2}[/tex]
Answer:
The value of [tex]f(a+2)[/tex] is [tex]3a+21+\frac{4}{a+2}[/tex].
Step-by-step explanation:
Consider the provided function [tex]f(x)=3(x+5)+\frac{4}{x}[/tex]
In order to find the value of [tex]f(a+2)[/tex]
Substitute x = a + 2 in the provided function.
[tex]f(a+2)=3((a+2)+5)+\frac{4}{a+2}[/tex]
[tex]f(a+2)=3(a+2+5)+\frac{4}{a+2}[/tex]
[tex]f(a+2)=3(a+7)+\frac{4}{a+2}[/tex]
Now, apply the distributive property: [tex]a(b+c)=ab+ac[/tex]
[tex]f(a+2)=3a+21+\frac{4}{a+2}[/tex]
Therefore, the value of [tex]f(a+2)[/tex] is [tex]3a+21+\frac{4}{a+2}[/tex].
The length of a rectangular field is 6 m less than twice the width. The perimeter is 312 m. Find the length of the field.
Length = 102
hope this helps :)
A) L +6 = 2W OR
A) L +6 -2W = 0
B) 2L + 2W = 312 Adding A and B
3L +6 = 312
3L = 306
Length = 102
you and four of your friends go to carnival. The cost to get in is $10 per person plus $2 for each ride. The cost per person can be represented by the function f(x)=2x + 10 write a rule for the total cost for you and your friends if you all ride the same number of rides
f(x) = 10x + 50
multiply the cost per person by 5 ( you and 4 friends )
f(x) = 5(2x + 10) = 10x + 50
A basketball player shoots a free throw in a game. The quadratic expression models the height of the ball, in feet, where t is the time, in seconds.
-16t^2 + 25t+7
What does the constant, 7, in the expression represent?
A.
the initial velocity of the ball when the player releases it
B.
the maximum height the ball reaches while in the air
C.
the initial height of ball when the player releases it
D.
the total time the ball spends in the air
Answer:
the initial height of ball when the player releases it
Step-by-step explanation:
A basketball player shoots a free throw in a game. The quadratic expression models the height of the ball, in feet, where t is the time, in seconds.
y= -16t^2 + 25t+7
Given equation is in the form of
y= -16x^2 + V t + h
Where V represents the initial velocity and h represents the initial height of the ball
Now we compare our equation with the general equation
We have 7 in the place of h
So , 7 is the initial height of the ball
Answer is 7 is the initial height of ball when the player releases it
Answer:
A,D,E
Step-by-step explanation:
How do I solve 7(5+x)
Answer:
35 + 7x
Step-by-step explanation:
You cannot solve it because there is no equal sign. This is not an equation. This is just an expression, so you can simplify it, but not solve it. To simplify it, use the distributive property to multiply out the 5 by what is inside the parentheses.
7(5 + x) = 7 * 5 + 7 * x = 35 + 7x
slope of (4,6) and (-1,2)
We can use the slope formula to find the slope between these two points:
[tex]\frac{y.2 - y.1}{x.2 - x.1} = m[/tex]
2 - 6 / -1 - 4
-4 / -5
Because there are two negatives, they cancel out.
The slope of the line between these two points is 4/5.
[tex]\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have}\\\\(4,\ 6)\to x_1=4,\ y_1=6\\(-1,\ 2)\to x_2=-1,\ y_2=2\\\\\text{substitute}\\\\m=\dfrac{2-6}{-1-4}=\dfrac{-4}{-5}=\dfrac{4}{5}=0.8[/tex]
Jim and Carla are scuba diving. Jim started out 12 feet below the surface. He descended 17 feet, rose 3 feet, and descended 8 more feet. Then he rested. Carla started out at the surface. She descended 19 feet, rose 3 feet, and descended another 17 feet. Then she rested. Which person rested at a greater depth? Complete the explanation.
Answer:
Jim reached a greater depth by one foot, as he started 12 feet below the surface.
Step-by-step explanation:
Jim
12 feet+17 feet = 29
29-3 feet (rose 3 feet) = 26
26+8= 34 feet
Carla
0 feet (surface)+ 19 feet= 19
19-3 feet= 16
16+17= 33 feet
After performing the depth calculations for both Jim and Carla's scuba diving, it was found that Carla is resting at a greater depth than Jim. Jim ended 24 feet below the surface, and Carla ended 33 feet below the surface.
Explanation:To start with, let's calculate how deep Jim and Carla each ended their dives. We begin with Jim, who started 12 feet below the surface, descended 17 feet, went up 3 feet and then descended another 8 feet. His total depth is therefore 12 - 17 + 3 - 8 = 24 feet below the surface.
Now let's calculate Carla's depth. Carla started at the surface (0 feet below), then descended 19 feet, ascended 3 feet, and descended another 17 feet. Her total depth is therefore 0 - 19 + 3 - 17 = 33 feet below the surface.
Comparing these two figures, Carla is resting at a greater depth than Jim.
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Rhea saved three parts of her salary and spent one part of t to rent an apartment. she spent $765 on rent, calculate Rhea's earnings.
Answer:
Rhea makes $3060 every month.
Step-by-step explanation:
In order to find this, we have to note that one-fourth of her salary is equal to $765. Give that fact, we know multiplying her rent total by 4 would give us the total salary.
$765 * 4 = $3060
Rhea's total earnings are calculated by multiplying her rent expenditure ($765) by 4, since the rent is one part of her four-part salary, resulting in total earnings of $3060.
If Rhea saved three parts of her salary and spent one part on rent, that means she spent a quarter (1/4) of her salary on rent. If $765 is the amount she spent on rent, we can calculate her total earnings by setting up a simple proportion, where the rent is 1 part, and the total salary is 4 parts (because 1 part spent + 3 parts saved = 4 parts total).
To find the earnings, we use the following equation:
1 part (rent) = $765
4 parts (total earnings) = X (the total salary we're trying to find)
Now we calculate X (total earnings) by multiplying the rent by 4:
X = $765 * 4 = $3060
This means that Rhea's total earnings are $3060.