Answer:
Volume of solid = 5 cm * 1 cm * 6 cm = 30 cm³
Step-by-step explanation:
The formula for volume of solid = Length * Width * Height
unicorn a is 4 times older than unicorn b.The sum of their ages is 1.450.
Answer:
Unicorn a : 1,160, and Unicorn b : 290
Step-by-step explanation:
We can make this an equation
Unicorn a is 4x
Unicorn b is x
4x + x = 1,450
x = 290
Unicorn a : 4•290= 1160 years old
Unicorn b : is 290 years old
what is the HCF of 2x and x
HCF (2x, x) = x.
Factors of 2x = 2 × x × 1
Factors of x = x × 1
Common factors = x, 1
HCF = x × 1 = x
See the attachment too.
________
Hope it helps ⚜
(-4) ⁴ what is the value of this expression
Consider the pattern 24, 33, 42, 51, …. What will the 10th term be?
Answer:
a₁₀ = 105
Step-by-step explanation:
There is a common difference between consecutive terms , that is
33 - 24 = 42 - 33 = 51 - 42 = 9
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 24 and d = 9 , then
a₁₀ = 24 + (9 × 9) = 24 + 81 = 105
The 10th number of the arithmetic sequence will be 105.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The arithmetic sequence is given below.
24, 33, 42, 51, ....
The first term is 24 and the common difference will be
d = 33 - 24
d = 9
Then the 10th term of the arithmetic sequence will be
a₁₀ = 24 + (10 - 1) × 9
a₁₀ = 24 + 9 × 9
a₁₀ = 24 + 81
a₁₀ = 105
The 10th number of the arithmetic sequence will be 105.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ2
For their group project, Mia and Ichiro researched
hybrid cars that combine gas and an electric motor.
“Awesome, so it consumes less fuel and emits less
CO2 into the environment,” Ichiro said.
“While hybrid cars are better for the environment,
I’m seeing that some people are hesitant to buy one
because of the higher purchase price,” Mia noted.
They found the graph to the right, which shows the
miles per gallon (MPG) and the annual tons of GHG
produced by 8 different types of cars. If each gallon
of gasoline burned created 20 pounds of GHG, and
the price of gasoline was $2.454 per gallon, how
much money was saved annually on gas by the car
that got 40 miles per gallon when compared to the
car that got 20 miles per gallon? Provide your answer
to the hundredths place. Note: 1 ton = 2,000 pounds. This is from Pg.2 -7th Grade math problem.
Hybrid cars have lower operational cost and reduce Green House Gases
GHG when journeys are made on a frequent basis.
The amount saved annually on gas by the car that got 40 miles per gallon when compared to the car that got 20 miles per gallon is $1,076.76.Reasons:
The given parameters are;
The mass of Green House Gases GHG created by each gallon of gasoline burned = 20 pounds
The price per gallon of gasoline = $2.454Let A represent the cars that consume 40 MPG and let B represent the cars that consume 20 MPG.
Amount of GHG produced per year by cars A = 4.4 tons
4.4 US tons = 8,800 lbs
Amount of GHG produced per year by cars A = 8.8 tons
8.8 US tons = 17,600 lbs
[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car \ A = \frac{8,800 \ lb}{20 \ lb/ gallon} = \mathbf{440 \ gallons}[/tex]
Cost of gasoline consumed per year by car A per year is therefore;
[tex]Cost_A[/tex] = 440 gallons × $2.454 = $1,079.76
[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car\ B = \mathbf{\frac{17,600\ lb}{20 \ lb/ gallon}} = 880 \ gallons[/tex]
Cost of gasoline consumed per year by car B per year is therefore;
[tex]Cost_B[/tex] = 880 gallons × $2.454 = $2,159.52
The amount saved annually by car A compared to car B is therefore;
Fuel cost savings by Car A = $2,159.52 - $1,079.76 = $1,079.76
The amount saved on gas by the 40 MPG car = $1,079.76Learn more here:
https://brainly.com/question/14806781
Use partial products to multiply
73
×
42
73×4273, times, 42.
Answer:
13,101,108
as in Thirteen million ,hundred and one thousand, one hundred and eight
A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B?
Answer:
so no answer
Step-by-step explanation:
no answer
Help help help help help help
Answer:
Step-by-step explanation:
A' (- 3 + 4, 4 + 2) = (1, 6)
B' (- 1 + 4, 2 + 2) = (3, 4)
C' (- 5 + 4, 0 + 2) = (-1, 2)
Eric's jersey number is a two-digit odd number. The positive difference between the two digits is 7, and the sum of the two digits is 11. What is Eric's jersey number?
Answer:
29
Step-by-step explanation:
We first need to know what 1-digit numbers add up to 11.
One digit numbers that add up to 11 are:
2 and 9
3 and 8
4 and 7
5 and 6.
The only pair here who's difference is 7 is: 2 and 9.
9 and 2 wont work because it's even, So the answer is 2 and 9 or 29.
what is the equation of this line in slope-intercept form
Answer:
y=3/5x+3 i think
Step-by-step explanation:
3 is the y intercept, and to find the slope its rise over run so 3 up and 5 to the side, i hope this helps!!
If u get this right u get branlnest
Answer:
Option 4
Step-by-step explanation:
[tex]2(a+6)[/tex]
Substitute [tex]a=2[/tex]:
[tex]2(2+6)=2(8)=16[/tex]
-------------------------------
Check first option:
[tex]4a+8[/tex]
Substitute [tex]a=2[/tex]:
[tex]4(2)+8=8+8=16[/tex]
Since 16 is not greater than 16, the first option is incorrect.
-------------------------------------------------------------------------------------
Check second option:
[tex]2a+a^2[/tex]
Substitute [tex]a=2[/tex]:
[tex]2(2)+2^{2} =4+4=8[/tex]
Since 8 is not greater than 16, the second option is incorrect.
-------------------------------------------------------------------------------------
Check third option:
[tex]2a+12[/tex]
Substitute [tex]a=2[/tex]:
[tex]2(2)+12=4+12=16[/tex]
Since 16 is not greater than 16, the third option is incorrect.
-------------------------------------------------------------------------------------
Check fourth option:
[tex]a^4+2[/tex]
Substitute [tex]a=2[/tex]:
[tex]2^4+2=16+2=18[/tex]
Since 18 is greater than 16, the fourth option is correct.
Solve the Quadratic
Solve for x. Write in simplified radical form.
2x^2 + 3x – 20 = 0
Solution 1:
Solution 2:
~quadratic equation
======================
2x² + 3x - 20 = 0
= a + b = 3
= ab = 2(-20) = -40
= a = -5
= b = 8
= (2x² - 5x) + (8x - 20)
= x(2x - 5) + 4(2x - 5)
= (2x - 5) (x + 4)
= Solution 1 : x = 5/2 ✔️
Solution 2 : x = -4 ✔️
~ nice to help you ^^
[tex]2x^2 +3x -20 =0\\\\\\\implies x = \dfrac{-3 \pm \sqrt{(-3)^2 - 4 \cdot 2 \cdot (-20)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{-3 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{-3\pm 13} 4 \\\\\\\text{Hence} \\\\x = \dfrac{-3+ 13}{4} = \dfrac{10} 4 = \dfrac{5}2\\\\\text{Or}\\\\x= \dfrac{-3-13}4 = -\dfrac{16}4 =-4[/tex]
2x+3-3 when x=-6
solve
Answer:
x=9
Step-by-step explanation:
Write an equation of the line in slope-intercept form.
Answer:
y = x + 4
Step-by-step explanation:
From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).
slope = m = rise/run = 1/1 = 1
The y-intercept is b = 4
y = mx + b
y = x + 4
A number, n, is divided by -1/3. The product is 6/5 what is the value of n?
Steps are attached.
Answer =》n = -2/5 = -0.4
______
RainbowSalt2222 ☔
Use the graph below to answer the question. On a coordinate plane, a line goes through (0, 0) and (3, negative 3). What is the slope of a line that is perpendicular to the line in the graph?
Answer:
y = x
Step-by-step explanation:
So 1st we need to find the slope of the original line which is y = -x
(use slope formula)
2nd Now we just need to reverse the slope, and that gets us to y = x
Answer: 6
its obvious
what is the equation of the line that is perpendicular to y=-1/4x-2 and goes through the point (-2,-3)
Step-by-step explanation:
y=-1/4x-2
1/4x+y+2=0.........1
line perpendicular to eqn 1 is
x-1/4y+k=0
as the line passes through the (-2,-3)
-2-1/4×-3+k=0
-1+4k=0
K=1/4
the eqn is 4x-y+1=0
what is the percent of change from 5 to 7
Answer:
The answer is 20% have a great day
Answer:
40%
Step-by-step explanation:
that's what googl e said
help please
i will give the best one
how many feet in 13 miles, 176 yards?
f(x)=x^2-(7/2)x-.5 and g(x)= 2-(2/x)
Answer:
23
Step-by-step explanation:
Select all of the following that are quadratic equations. 7x2 + 14x = 0 x3 - 3x2 + 1 = 0 5x - 7 = 0 x2 + 3x -5 = 0 x - 5 = 9x + 7 x2 - x = 3x + 7
Answer:
7x2 + 14x = 0
x2 + 3x -5 = 0
x2 - x = 3x + 7
Step-by-step explanation:
A quadratic equation has the highest power of x to the second power. It must have x to the second power
7x2 + 14x = 0 quadratic
x3 - 3x2 + 1 = 0 not quadratic but cubic
5x - 7 = 0 not quadratic but linear
x2 + 3x -5 = 0 quadratic
x - 5 = 9x + 7 not quadratic but linear
x2 - x = 3x + 7 quadratic
What is 924 \ 6
Please explain how you did it
( BTW / stands for “divided by”)
Tell me if I’m reading this incorrectly just in case. Thanks!
Answer:
154
Step-by-step explanation:
use the bus stop method so you divide each number separately, starting from the left.
9 divided by 6=1 with a remainder of 3 because 1x6=6 and 9-6=3. Then you move that 3 over to the next number, the 2, to make it 32.
32 divided by 6=5 with a remainder of 2 because 5 x 6=30 and 32-30=2. Then you move that 2 over to the next number, the 4, to make it 24.
24 divided by 6 is 4.
So if you put all of those numbers together, it makes 154.
What is the period of the trigonometric function f(t) = 3sin()?
A) 2 pi
B) 3 pi
C) 4 pi
D) pi / 2
Which equation has a solution of r = 1/3
Answer:
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
A.
2 2/3 + r = 3
r = 3 - 2 2/3
r = 1/3
B.
r - 1 = 2/3
r = 1 2/3
C.
3r = 1/3
r = 1/9
D.
4r = 12
r = 3
Answer: A.
Here’s a freebie for the lucky people who answer this
79 - 10 =
A. 70
B. 7
C. 69
D. 6.9
430 - 10 =
A. 469
B. 421
C. 4.2.0
D. 420
Answer:
The answer is C.
The answer is D.
Step-by-step explanation:
Thank you:)
HELP ME OUT PLEASE
PLS SEND PICTURE OF WHAT TO DO
Use the data to create a scatter plot.
Answer:
(2,5)
(3,8)
(4,13)
(5,12)
(6,18)
(7,20)
Plug those into the scatter plot graph
Step-by-step explanation:
The left side is the x axis and the right side is the y axis
examine the following sequence 1,4,9,16,25…why is 36 the next number in the sequence ? because the pattern is
Answer:
The pattern is adding by consecutive odds.
Step-by-step explanation:
The first odd you start with is 3:
1 + 3 = 4
4 + 5 = 9
9 + 7 = 16
16 + 9 = 25
25 + 11 = 36
...
Note that each time you add, it is by consecutive odds, meaning that after 36, you are adding 13, then 15, etc.
~
What is the Ratio of 129 215
Answer:
none
Step-by-step explanation:
What is the average rate of change of the functionf (x) = 20(1/4)^xfrom x = 1 to x = 2?
Step-by-step explanation:
the average rate of change of a function f(x) between two values of x is
(f(x2) - f(x1)) / (x2 - x1)
f(x) = 20× (1/4)^x
x1 = 1
x2 = 2
f(x2) = 20× (1/4)² = 20/16 = 5/4
f(x1) = 20× (1/4)¹ = 20/4 = 5
(5/4 - 5) / (2 - 1) = (5/4 - 20/4) / 1 = -15/4
the average rate of change is -15/4.