Answer:
[0,3]
Step-by-step explanation:
Using a special case of mean value theorem, The Intermediate Zero Theorem:
if sign changes in continuous function, it pass through zero:
f(-5)=2, f(0)=-3. f(3)=2, f(7)=-4, f(8)=-1
[-5,0], [0,3], [3,7] guarantee a solution
smallest : [0,3]
Distributive Property. Show work below.
1/5(5r+10) - 3(r-2)
Answer:
The answer is -2r + 8.
Step-by-step explanation:
1) Simplify 1/5(5r + 10) to 5r + 10/ 5.
[tex] \frac{5r + 10}{5} - 3(r - 2)[/tex]
2) Factor out the common term 5.
[tex] \frac{5(r + 2)}{5} - 3(r - 2)[/tex]
3) Cancle 5.
[tex]r + 2 - 3(r - 2)[/tex]
4) Expand by distributing terms.
[tex]r + 2 - (3r - 6)[/tex]
5) Remove parentheses.
[tex]r + 2 - 3r + 6[/tex]
6) Collect like terms.
[tex](r - 3r) + (2 + 6)[/tex]
7) Simplify.
[tex] - 2r + 8[/tex]
Thus, the answer for this equation is -2r + 8.
when an exponential expression is raised to another exponent the exponent is______
Answer:
Step-by-step explanation:
When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. For example, in the following expression, x to the power of 3 is being raised to the power of 6, and so you would multiply 3 and 6 to find the new power.
Fred's car can travel 36.8 miles on one tank of gas. His gas tank holds 16 gallons. How many miles can Fred's car travel per gallon?What is the solution of the equation below? x+8.63=11.001
Answer:
Answer to Question 1: 2.3 miles per gallon
Answer to Question 2: x = 2.371
Step-by-step explanation:
Question 1 (explanation): 36.8 (miles on one tank of gas) / 16 (gallons of gas that Fred's car hold) = 2.3 (miles that Fred's car can travel per gallon)
Question 2 (explanation): 11.001 - 8.63 = 2.371
I hope this helps :)
A baseball team offers a promotion. Normally it’s $12 for bleacher seats, but every specially marked soda can takes $0.50 off the price.
Make a table with the following information:
Cans: 0, 2, 4, 6
Cost:
Equation:
Answer:
$12,$11,$10,$9
Step-by-step explanation:
As the starting price is $12, the first piece of information they give you is the number of cans + the discount each one gives, meaning that the table should have two titles being cost and cans. The number of cans should be at the top with the price being put below for example.
cans: 0 2 4 6
cost: 12 11 10 9
that is the table; the equation to figure this out would be
if you say that 1 can is = to "x"
then the equation becomes much easier to write down and you can simply write it down for each price
cost = 12
cost = 12 - 2x = 11
cost = 12 - 4x = 10
cost = 12 - 6x = 9
making x worth 0.5
Answer: $12,$11,$10,$9
Step-by-step explanation:
As the starting price is $12, the first piece of information they give you is the number of cans + the discount each one gives, meaning that the table should have two titles being cost and cans. The number of cans should be at the top with the price being put below for example. cans: 0 2 4 6 cost: 12 11 10 9 that is the table; the equation to figure this out would be if you say that 1 can is = to "x" then the equation becomes much easier to write down and you can simply write it down for each price cost = 12 cost = 12 - 2x = 11 cost = 12 - 4x = 10 cost = 12 - 6x = 9 making x worth 0.5
A classroom is arranged with 6 seats in the front row, 8 seats in the middle row, and 10 seats in the back row. The teacher randomly assigns seats to students as they enter the classroom.
What is the probability that the first student who enters the classroom will be assigned a seat in the front row?
Answer:
[tex] \frac{6}{24} \: or \: 0.25 \: or 25\%[/tex]
Step-by-step explanation:
First add them all up to get the total amount of seats.
6+10+8=24
there are 6 seats in the front row. so that means it will be
[tex] \frac{6}{24} [/tex]
24÷6=0.25
0.25×100=25%
Probability can be answered with a fraction, decimal or a percentage, they are all correct.
Help please !!
Thanks
Answer:
The starting height
Solve the following quadratic equation for all values of x in simplest form.
20+ 2x= 28
Answer:
x = 4
Step-by-step explanation:
To solve, we need to isolate x.
Start by moving the 20 to the other side by subtracting it from both sides.
2x = 8
Since x is being multiplied by 2, we need to divide both sides by 2 to move it to the other side.
x = 4
A very, very hungry guy goes to a fast food place and orders 2 chicken sandwiches
and 4 tacos, at a total cost of $6.60. Three days later, he's ready to eat again. This
time, he buys 5 chicken sandwiches and 2 tacos, at a total cost of $9.30. Write and
solve a system of linear equations. Identify the cost of one chicken sandwich, and the
price of one taco.
Answer:
Step-by-step explanation:
Huhuj
What is the measure of the angle that the ladder makes with the wall?
Answer:
30°
Step-by-step explanation:
The measure of angle the ladder makes with the wall = 180 - (the measure of angle the ladder makes with the ground + 90°)
Measure of angle the ladder makes with the ground = 180 - 120 = 60°
Therefore,
The measure of angle the ladder makes with the wall = 180 - (60 + 90°)
= 30°
А
B
Scarlett walks along the edges of a
rectangular path from A to B to C to D, a
distance of 38 metres. Jake walks along the
same rectangle, but from B to C to D to A,
a distance of only 31 metres.
What is the area, in square metres, of rectangle ABCD?
D
С
Answer:
168 meters squared
Step-by-step explanation:
So we know that Jake walked from b to c and d meaning he didn't go from a to b, but we also know that scarlet walked a to b so to find the length we can subtract scarlet's walk by jake's walk or 38-31 which is 7.
So we know the length of one side is 7 so this means we have side a to b and c to d, but we still need to know b to c. So what we can do is get the length of a b c and d and isolate it so that we only have b to c. To do this we get the length of 7 and double it which is 14 and take it away from the 38m
38-14=24
so now we know that the side is 24 and we can solve for the area
24*7=168
so the answer is 168 meters squared
48 is 12% of what number?
Answer:
I'm not sure but from my calculations,it is 400
Answer:
400
Step-by-step explanation:
In order to find out a percentage of something you divide the percent by 100 (12/100) to get a decimal, which would be 0.12. Now with this we already know 12% of something is 48 and in order to find what we took 12% from we divide 48 by 0.12.
48÷0.12 or 48/0.12 = 400
Find the volume of the beach ball and the volume of the toy ball. How many times greater is the volume of the beach ball than the volume of the toy ball?
A.THE VOLUME OF THE BALL IS 904 CUBIC INCHES. b. THE VOLUME OF THE BEACH BALL IS 678 CUBIC INCHES. c.the volume of the beach ball is 452 cubic inches
Answers:
Volume of beach ball = 904 cubic inchesVolume of toy ball = 113 cubic inchesThe beach ball is 8 times greater compared to the toy ball===============================================
Work Shown:
Beach ball
V = volume of sphere
V = (4/3)*pi*r^3
V = (4/3)*3.14*(6)^3 .... the beach ball has diameter 12, so radius is 6
V = 904.32
V = 904 cubic inches is the approximate volume of the beach ball
------------------------
Toy ball
V = volume of sphere
V = (4/3)*pi*r^3
V = (4/3)*3.14*(3)^3 .... the toy ball has diameter 6, so radius is 3
V = 113.04
V = 113 cubic inches is the approximate volume of the toy ball
--------------------------
Divide the two volumes to find that 904/113 = 8
This means that the beach ball is 8 times greater in volume compared to the toy ball
We can say
[tex]\text{Beach ball volume} = 8*\left(\text{toy ball volume}\right)[/tex]
The beach ball's volume is 7238.23and if we round that would be 7238 and the volume for the toy ball is 904.78 and if we round that it would be 905.So, it's around 7 times greater. The difference after they are rounded is 6,333.
Hope this helps.
What is the median 3 7 4 6 10
Find the product of 2/3 and 9/10
4 points
Answer:(2/3) + (9/10) = 47/30
= 1 17/30
Step-by-step explanation:
Answer:
Step-by-step explanation:
2/3 x 9/10
=(2x9)/ (3x10)
=18/30
The simplest form of 18/30 is 35.
How I got this answer: First you need to write out your equation, Then you need to multiply like so, Take the first number of your first equation and multiply it by the first number in the second equation then do that for your second like this (2x9) and take (3x10) mulitply both and you get 18 for the first then 30 for the second, if you need that in simplest form. then it will be 35. Hope this helps Have a wonderful day
Combine like terms and simplify the expression. 2 (x+ 2Y - 6)
Answer:
2x+4y-12
Step-by-step explanation:
2x+4y-12
Step-by-step explanation:
2(x+2y-6)
2x+4y-12
Hope it helps you
Candy company produces 4800 candies per minute. How many in an hour. Must show work
Answer:
288,000 candies in 1 hour
Step-by-step explanation:
4800 candies per minute
60 minutes = 1 hour
4800 × 60 = 288,000
Help please !
A rectangular paperboard measuring 22 in long and 14 in wide has a semicircle cut out of it, as shown below.
Find the area of the paperboard that remains. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
231.07 in^2
Step-by-step explanation:
The radius of the semicircle is 14/2 = 7 in
22x14 - 3.14x(7^2)/2 = 231.07 in^2
Answer: 231.07 m^2
Step-by-step explanation:
Area of the remaining paperboard = Area of the entire paperboard - Area of semicircle
1. area of paperboard = l*b = 22*14 = 308 m^2
2. area of semi circle = 1/2 pi r^2 = 1/2*3.14*49/2
Therefore, area of remaining paperboard = 231.07 m^2
Find the slope of the line that passes through (9, 8) and (4, 6).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Step-by-step explanation:
90
Answer:
it's 2/5 (0.4)
Step-by-step explanation:
y-y1
-------
x-x1
8-6
----
9-4
2
--
5 = 2/5 =0.4
Area of a trapezoid help please
Answer:
143
Step-by-step explanation:
A = (b1 + b2)h/2
A = (18 + 8)(11)/2
A = 143
Answer: 143
What is the sale price of a bag of potato chips priced 4 and the sale 25% off?
A:$1.50 B:$2 C:$3 D:$2.50
Answer:
C: $3
Step-by-step explanation:
I think you're saying that the chips cost $4, so that's what I'm going with.
You can think of 25% as 1/4 of the whole. So if you divide 4 by 4, you get 1, so that means that 1/4 of the price is 1.
Now you can subtract 1 from 4 : 4-1= $3
Hope that helps!
What’s the area of the shape?
Answer:
96
Step-by-step explanation:
triangle = (12 * 10)/2 = 60
square = 6*6 = 36
triangle + square = 96
Change 60% to fraction in its simplest form
Answer: 3/5
Step-by-step explanation:
60% as a fraction is 60/100.
You can simplify 60/100 to 30/50 then simplify that further to 15/25 then using the 5 times tables you can simplify that to 3/5.
Identify terms of 25x-7
Answer:
The terms are 25x and 7
Step-by-step explanation:
Juan is participating in a 4 -day cross-country biking challenge. He biked for 61, 70, and 59 miles on the first three days. How many miles does he need to bake on the last day so that his average (mean) is 61 miles per day
Olivia wrapped a string around a circle and found it was 30 mm long. Approximately, what is the radius of this circle
A. r= 4.77mm
B. r= 7.5mm
C= r= 9.55
D= r= 15mm
Answer:7.5
Step-by-step explanation: cause I looked it up lol
more help pls! 3 and 4
Answer:
3. One Solution. (0,4). (they have different slopes and y-intercepts)
The solution can be found using elimination method:
Add the equations together
y = -x + 4
y = x - 4
2y = 0
y = 0
Solve for x
0 = x - 4
x = 4
(4, 0)
4. No solution
x + y = -2 and 3 which is not possible
The two lines would be parallel
Help please! What is 438 x 934? I'm timed (gc for the school peeps sending this to them)
Answer:
438 x 934=409092
Step-by-step explanation:
I hope this helps.
1) f(x) = x 2+ 3x - 18 2) g(x) = x 2+ 2x - 120 3) h(x) = x 2+ 7x - 17 4) k(x) = x 2+ 9x + 20.25 5) s(x) = 4x 2– 5x - 21 6) t(x) = 16x 2+ 9x + 20 7) f(x) = -2x 2+ 10x - 5 8) r(x) = -3x 2- 5x + 2
Diver Dan enjoys scuba diving. He dives to 34 feet below the surface of a lake. His friend Jump in Jeff dives to 40 feet below the surface, but then descends 20 feet. What is the vertical distance between Dan and Jeff? Please show work.
Answer:
The vertical distance between Dan and Jeff is of 26 feet.
Step-by-step explanation:
Diver Dan enjoys scuba diving. He dives to 34 feet below the surface of a lake.
His position is -34 feet.
His friend Jump in Jeff dives to 40 feet below the surface, but then descends 20 feet.
Dives to 40 feet, and descends 20 more feet. So
-(40 + 20) = -60
What is the vertical distance between Dan and Jeff?
|-34 - (-60)| = |-34 + 60| = 26
The vertical distance between Dan and Jeff is of 26 feet.
Someone please help me answer this!!
Answer:
[tex]y^{6}[/tex]
Step-by-step explanation:
Combine exponents by multiplying (2x3=6)
Answer:
[tex]y^6[/tex]
Step-by-step explanation:
[tex](y^2)^3[/tex]
Use the rules of exponents to simplify the expression.
[tex](y^2)^3[/tex]
To raise a power to another power, multiply the exponents.
y^2x3
Multiply 2 times 3.
y^6