Answer:
[tex]V=15.62\ cm^3[/tex]
Step-by-step explanation:
The volume of a cube is given by the formula :
V = s³, where s represents the side length of the cube
The side length of Marie's cube is [tex]2\dfrac{1}{2}\ cm[/tex]. We need to find the volume of her cube. For this, we can use the formula of the volume of a cube such that,
[tex]V=(2\dfrac{1}{2})^3\\\\=(\dfrac{5}{2})^3\ cm^3\\\\=\dfrac{125}{8}\ cm^3\\\\=15.62\ cm^3[/tex]
So, the volume of her cube is [tex]15.62\ cm^3[/tex].
What does (f+g)x mean?
Answer:
(f + g)(x) means f(x) + g(x)
General Formulas and Concepts:
Alg I
Function NotationCombining like termsAlg II
Composite FunctionsStep-by-step explanation:
(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.
Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.
Which table of values represents a linear function ?
Answer:
Step-by-step explanation:
C
the equation would be y=2x+4
The solution is Option C.
The linear equation is given as y = 2x + 4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the x values be = { -4 , -2 , 0 , 2 }
Let the y values be = { -4 , 0 , 4 , 8 }
The slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 0 - ( -4 ) / ( -2 - ( - 4 ) )
On simplifying the equation , we get
Slope m = 4/2 = 2
Now , the equation of line is
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 0 = 2 ( x - ( -2 ) )
On simplifying the equation , we get
y = 2x + 4
Hence , the linear equation is y = 2x + 4
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A loon is a bird that dives in the ocean for its food. It can dive to a depth of 12ft in 8 seconds. How many feet does it dive per second? (Write your answer as a decimal) *
Answer: 1.5ft/seconds
Step-by-step explanation:
From the question, we are informed that a loon is a bird that dives in the ocean for its food and that it can dive to a depth of 12ft in 8 seconds.
The amount of feet it dive per second will be gotten by dividing 12ft by 8 seconds. This will be:
= 12ft / 8sec
= 1.5ft/seconds
PLS HELP ME ASAP!!!!
In 2 hours, a canoeist can go 40 km downstream but only 6 km upstream. Find the rate of the current and the canoeist.
Answer:
20 Km per hour.
The domain of the following relation: R: {(-3,4), (5,0), (1,5), (2,8), (5,10)} is (1 point)
a. {-3,1,2,5}
b. {4,0,5,8,10}
c. {-3,5,1,2,5}
d. No domain exists
A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15?
A 3
B 4
C 5
D 6
E 8
Answer: B: 4
Step-by-step explanation:
A number is divisible by 15 if the number ends on a 0 or a 5, and the sum of its digits is divisible by 3.
We want to find a 5 digit flippy number, this can be: modeled with:
N = ababa
Where a and b are single digit numbers.
If we impose that N must end with a zero, then we will have:
N = 0b0b0 = b0b0
This is a 4-digit number, so we can discard all the options that end with a zero.
Then the only option that we have are the numbers like:
B = 5b5b5
This number will be only divisible by 15 if:
5 + b + 5 + b + 5 = K is divisible by 3.
Then let's try find the possible values of b.
K = 3*5 + 2*b
K has two terms, the left term is already divisible by 3, then K will be divisible by 3 only if the other term is also divisible by 3.
Then we want 2*b to be divisible by 3.
And 2 is a prime number, then b must be divisible by 3, and we know that b is a number between {0,1 , 2, 3, 4, 5, 6, 7, 8 ,9}
The options are:
2*0 = 0 is divisible by 3.
2*3 = 6 is divisible by 3.
2*6 = 12 is divisible by 3
2*9 = 12 is divisible by 3.
Then we have four values of b such that:
N = 5b5b5 is divisible by 15.
Then the correct option is: B: 4
CAN SOMEONE GIVE ME THE STEPS I HAVE THE ANSWERS I JUST NEED THE STEPS
Problem 1:
1) 3/5x-1 x 3/4=9/10
3x/5-1 x 3/4=9/10
2) 3x/5-1 x 3/4=9/10
3x/5-3/4=9/10
3) 3x/5-3/4=9/10
+3/4 +3/4
4) 3x/5=33/20
5) 5 x 3x/5= 5 x (33/20)
6) 3x=33/4
7) 3x=33/4
/3 /3
8) x=11/4
Problem 2:
1) 6/7+2/5x=-4/5
6/7+2x/5=-4/5
2) 6/7+2x/5=-4/5
-6/7 -6/7
3) 2x/5= --58/35
4) 5 x 2x/5= 5 x (--58/35)
5) 2x= --58/7
6) 2x= --58/7
/2 /2
x= --29/7
expand and simplify
2(x+7)+ 3(x+1)
Answer:
2(x+7)+3(x+1)
2x+14+3x+3
5x+17
Answer:
Step-by-step explanation
2(x+7)+ 3(x+1)
2x+14+3x+3
5x+17 is the answer
hi can somebody answer this rlly quickly
Answer:
11
Step-by-step explanation:
72/9=8 so 99/9=11
Below is a formula for the volume of a pyramid
V = 1/3 Bh , where B is the base area and h is the height
Solve the formula for h.
What is the height of a pyramid with base area 15 cm² and volume 45 cm?
A:1 cm
B:3 cm
С:6 cm
D:9 cm
Answer:
D
Step-by-step explanation:
Refer to the picture that givem
Really stupid question, but how do you add a comment lol. There’s no enter button or anything (I’m on an iPad) if that helps.
Answer:
You just do
Step-by-step explanation:
Answer:
just click the thing that says "Ask blah blah about this question..."
Step-by-step explanation:
Find the slope of the line that passes through the points (5,9) and (2,7).
Answer:
-2/3
Step-by-step explanation:
y2-y1 over x2-x1
HELPPPPPPPPPPPP
i give brainliest!
Answer:
C
Step-by-step explanation:
The scuba diver started at -55 feet as it says below the surface then went up 20 feet so the equation would be -55+20=-35
The coldest temperature last December was –18.24 degrees. The difference between this and the highest recorded temperature was 56.24 degrees. What was the highest recorded temperature?
Answer: The highest recorded temperature was 38 degrees.
Step-by-step explanation:
Given: The coldest temperature last December was –18.24 degrees.
Difference between this and the highest recorded temperature=
56.24 degrees
The highest recorded temperature = coldest temperature + difference
= -18.24+56.24 degrees
= 38 degrees
Hence, the highest recorded temperature was 38 degrees.
Secant and Tangent Angles in circles.
Solve for x.
Answer:
x = 1
Step-by-step explanation:
5x + 17 = 1/2[(73x + 5) - (23x - 5)]
5x + 17 = 1/2[37x + 5 - 23x + 5]
5x + 17 = 1/2[14x + 10]
5x + 17 = 1/2 * 2(7x + 5)
5x + 17 = 7x + 5
5x - 17x = 5 - 17
-12x = - 12
x = - 12/-12
x = 1
A circle is a curve sketched out by a point moving in a plane. The value of x that will make the Secant and Tangent Angles true for the circle is 17/25.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
For the given circle, as per the Secant and Tangent Angles theorem, the measure of the angle formed by two tangents can be written as,
∠WVU = (arc WU + arc WU)/2
5x + 17 = [(37x + 5) + (23x - 5)]/2
2(5x + 17) = (37x + 5) + (23x - 5)
10x + 34 = 37x + 5 + 23x - 5
10x - 37x - 23x = 5 - 5 - 34
-50x = -34
x = 34/50
x = 17/25
Hence, the value of x is 17/25.
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i need help asap......
Can someone help me find the measure of each angle in the triangle?
Answer:Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?
Step-by-step explanation:
Answer-
the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?
Which equation represents a line which is parallel to the line 3x + 8y = - 40 ?
Step-by-step explanation:
3x + 8y = -40
8y = -40 - 3x
y = -5 - 3/8x
y = -3/8x - 5
Equation that represents a line which is parallel to y = -3/8x - 5 can be any equation as long as it's y = -3/8x + c, as in c can be any value as long as the other parts of the equation is not changed
ANSWER PLSSS THANK YOUUUUU
Answer:
As a fraction: 81/100 (cannot be simplified) Decimal: 0.81 and a percent 81%
Step-by-step explanation:
Count the blocks and convert (you can also use an array.) Hope this helps you!
Answer:
Fraction: 81/100
Decimal: 0.81
Percent: 81%
Step-by-step explanation:
The box is a 10x10 so it has 100 squares inside.
There are 81 squares shaded so the fraction would be 81/100
To get the decimal just divide 81 by one hundred so the decimal is .81
As a percent is would be 81%
Hope this helps ya!!
What is the slope of the line that passes through the points (-4, 4)(−4,4) and (-6, 6) ?(−6,6)? Write your answer in simplest form.
solve for f. -11f = 7(1 - 2f) + 5
Answer:
F = 4
Step-by-step explanation:
−11f=7−14f+5
−11f=−14f+12
−11f+14f=12
3f=12
f=
3
12
f=4
Answer:
f=
23/14
=1.643
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-11-(7*(1-2*f)+5)=0
-11 - (7 • (1 - 2f) + 5) = 0
14f - 23 = 0
3.1 Solve : 14f-23 = 0
Add 23 to both sides of the equation :
14f = 23
Divide both sides of the equation by 14:
f = 23/14 = 1.643
How many times bigger is 2 1/4 than 2
Answer:
1 1/8
Step-by-step explanation:
Divide 2 1/4 by 2.
Ludmilla Pavel is paid a commission on all sales over $3,000 a week. Last week she earned a commission
of $420 on sales of $16,000. What rate of commission was she paid to the nearest tenth percent
Answer:
Since she sold $16,000, she earned commission on $13,000 of it.
So she earned $420 from $13,000
420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %
10
Step-by-step explanation:
Answer:
3.23% or 3.2% to the nearest tenth %
Step-by-step explanation:
Since she sold $16,000, she earned commission on $13,000 of it. So she earned $420 from $13,000. 420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %
The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.
(a) What is the distance from the sun to Venus written in scientific notation?
• [Please make sure to include your units]
(b) What is the diameter of a human hair written in scientific notation?
• [Please make sure to include your units]
(c) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?
Step-by-step explanation:
It is given that,
The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.
(a) In scientifc notation, the distance from the Sun to Venus will be :
There are 8 numbers before 1. It means
d = 1.08 × 10⁸ km
(b) In scientific notation, the diameter of a human hair will be :
There are 3 numbers after decimal. It means
D = 2.5× 10⁻³ mm
(c) Before comparing two measurements, both values must be converted into the same units.
Since, 1 mm = 10⁻⁶ km
D = 2.5× 10⁻³ × 10⁻⁶ km
= 2.5 × 10⁻⁹ km
For comparison divide the distance from the Sun to Venus and the diameter of a human hair.
[tex]C=\dfrac{1.08\times 10^8\ km}{2.5\times 10^{-9}\ km}\\\\=4.32\times 10^{16}[/tex]
Hence, this is the required solution.
Monday's high temperature in Denver, Colorado was 25°F. The low temperature was
-4° F. What was the difference between the high and low temperatures?
Answer:
The difference between the high and low temperatures is 29°F
Step-by-step explanation:
Subtraction
The high temperature in Denver, Colorado was 25°F on Monday.
The low temperature was -4°F in the same place.
We are required to find the difference between the high and low temperatures.
We need to subtract 25 and -4:
Difference = 25°F - (-4°F)
Note we change the sign of the subtraction multiplying (-1) by (-1);
Difference = 25°F + 4°F
Difference = 29°F
The difference between the high and low temperatures is 29°F
Totsakan school is selling tickets to a choral performance on the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 the school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets find the price of a senior ticket and the price of a child ticket
Given :
On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .
The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.
To Find :
The price of a senior ticket and the price of a child ticket.
Solution :
Let, price of senior ticket and child ticket is x and y respectively.
Mathematical equation of condition 1 :
10x + y = 85 ...1)
Mathematical equation of condition 2 :
5x + 7y = 75 ...2)
Solving equation 1 and 2, we get :
2(2) - (1) :
2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0
10x + 14y - 150 - 10x - y + 85 = 0
13y = 65
y = 5
10x - 5 = 85
x = 8
Therefore, price of a senior ticket and the price of a child ticket $8 and $5.
Hence, this is the required solution.
For a craft each student will need five rubber bands.There.There are eight students.Rubber bands come in bags of nine. How many will be needed?How many rubber bands will be left over?
Answer:
40 rubber bands are needed
5 rubber bands will be left from 5 bags of of rubber band
Step-by-step explanation:
Each student will need five rubber bands.
There are eight students
Total rubber bands needed = rubber bands per student × number of students
= 5 × 8
= 40
Total rubber bands needed = 40
Rubber bands come in bags of nine.
Number of bags needed = Total rubber bands needed / number of rubber bands in each bag
= 40 / 9
= 4.44 bags
It is impossible to get decimal number of rubber bands bag, so, the next whole number after 4 is 5
5 rubber bands bags will be bought which = 5 × 9
= 45 rubber bands
Only 40 rubber bands are needed
Left over rubber bands = 45 - 40
= 5 rubber bands
Can Anybody Help With Geometry?
Answer:
SAS
Step-by-step explanation:
Side Angle Side: It shows only one angle and shows that 2 sides are congruent.
Answer:
It is SAS. Please mark brainliest.
Step-by-step explanation:
10 divided by 2 would be 5 because it pretty much splits it in equal parts like this if you do each friend get 1 cup of water there is 9 liters so what you do it give each 3 liters of water and that's 9 divided by 3 so you split 3 parts into 9
Answer:
First of how many friends are there and if each freind get one why are you giving them three and did you count yourself as well
Step-by-step explanation:
Help ASAP I need it quick please and thank you!!!!!