Answer: 1140
Step-by-step explanation:
Formula for Volume of a rectangular prism:
V= L•W•H
V= 19•6•10
The volume of the given rectangular prism is 1140 in³.
What is Volume?Any three-dimensional solid's volume is the area it takes up. The shapes of these solids include cubes, cuboids, cones, cylinders, and spheres. Forms come in a wide range of volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylinders, cones, and more. A prism is a solid geometric shape with parallelograms for its sides and two comparable, equal, and parallel rectilinear figures for its ends.
As per the given data:
length of rectangular prism (l) = 19 in
height of rectangular prism (h) = 10 in
width of rectangular prism (w) = 6 in
To find the volume:
Volume of a rectangular prism = l × h × w= 19 × 10 × 6 in³
= 1140 in³
Hence, the volume of the given rectangular prism is 1140 in³.
To learn more about Volume, click here:
brainly.com/question/13338592
#SPJ2
The table shows values for functions f(x) and g(x) .
x f(x)=4x+1 g(x)=3x+1−4
−3 −11 −359
−2 −7 −113
−1 −3 −3
0 1 −1
1 5 5
2 9 23
3 13 77
What is the solution to f(x)=g(x) ?
Select each correct answer.
−3
−2
−1
0
1
2
3
Answer:
Option 5th is correct.
x = 1 is the solution to f(x) =g(x)
The table shown below:
x f(x) =4x+1
-3 -11
-2 -7
-1 -3 -3
0 1 -1
1 5 5
2 9 23
3 13 77
We have to find the solution to f(x) = g(x)
We have to find the value of x where f(x) = g(x).
From the given table you can see that at x = 1
f(x) =5 and g(x) = 5
therefore, the solution where f(x) = g(x) at x =1
Step-by-step explanation:
The solution to the functions are when x = 1 , f ( x ) = g ( x ) = 5
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
f ( x ) = 4x + 1
And , g ( x ) = ( 3 )ˣ⁺¹ - 4
On simplifying , we get
The table of values are given and when x = 1
The value of f ( x ) = g ( x ) = 5
Hence , the solution is when x = 1
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ7
The complete question is attached below :
The table shows values for functions f(x) and g(x) .
f(x)=4x+1
g ( x ) = ( 3 )ˣ⁺¹ - 4
What is the solution to f(x)=g(x) ?
how to solve (s + 5)(s - 5)
Answer:s^2-25
Step-by-step explanation:
Answer:
you would have to multiply so,
s*s is s^2
s*-5 is -5s
s*5 is 5s
5*-5 is -25
the final answer would be s^2-25 (-5s and 5s cancel each other out)
hope this helped!!
Mr. Claw received a job with an annual salary of $51,000. He will receive a 1.5% increase every year. How much will Mr. Claw's salary be in 3 years?
Answer: $53,330
Step-by-step explanation:
This is an exponential function so to find the salary in 3 years, you need to use a future value formula such as :
= Amount * ( 1 + rate) ^ number of years
Amount = $51,000
Rate = 1.5%
Number of years = 3 years
Salary = 51,000 * ( 1 + 1.5%)³
= 53,329.59
= $53,330
solve for a using the pythagorean theorem SOMEONE HELP PLZZZ
Answer:
4
Step-by-step explanation:
[tex]\sqrt{(5)^{2}-(3)^{2} }=4[/tex]
I WILL GIVE BRAINLIEST. 1/2 of the problems on a 20-question test are algebra and one-half are geometry. Determine the probability that when 10 of these problems are chosen randomly, 1/2 of them are algebra questions. Express your answer as a decimal rounded to the nearest thousandth.
Please help and explain :)
9514 1404 393
Answer:
0.344
Step-by-step explanation:
There are 20C10 = 184,756 ways to choose 10 problems at random from a list of 20.
There are 10C5 = 252 ways to choose 5 of the 10 algebra problems, and the same number of ways to choose 5 of the 10 geometry problems. Then there are 252² = 63,504 ways to choose 5 problems each of algebra and geometry.
The probability of choosing 5 problems in each category is ...
63504/184756 ≈ 0.344
Yall plzz helpp I dont want to fail math "what is the longest walking stick that can be placed in the bottom of a truck of length 80 cm and width 60cm"
Given:
Length of the truck = 80 cm
Width of the truck = 60 cm
To find:
The longest walking stick that can be placed in the bottom of a truck.
Solution:
The longest walking stick that can be placed in the bottom of a truck is the diagonal of the truck.
We know that, the diagonal of a rectangle is:
[tex]d=\sqrt{l^2+w^2}[/tex]
Where, l is the length and w is the width.
Putting [tex]l=80[/tex] and [tex]w=60[/tex], we get
[tex]d=\sqrt{(80)^2+(60)^2}[/tex]
[tex]d=\sqrt{6400+3600}[/tex]
[tex]d=\sqrt{10000}[/tex]
[tex]d=100[/tex]
Therefore, the length of the longest walking stick that can be placed in the bottom of a truck is 100 cm.
What is the median of the data set represented by the dot plot?
..
Enter the answer in the box
10 11 12 13 14 15 16 17 18 19 20
please help. Which scale factors produce an expansion under a dilation of the original image?
Select each correct answer.
0.3
0.75
2
3
Answer:
It's 2 and 3
Step-by-step explanation:
Hope this helps
Which set of lengths are the side lengths of a right triangle? (9,15,17) (14,23,25) (20,30,40) (15,36,39)
Answer:
(15, 36, 39)
Step-by-step explanation:
Using pythagoreas formula: A^2 * B^2 = C^2
so a=15, b=36, c=39
15^2+36^2=39^2
What is the area of this triangle?
Answer:
The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h. Hence, to find the area of a tri-sided polygon, we have to know the base (b) and height (h) of it.
Step-by-step explanation:
hope this help .
GEOMETRY. Name a Pair of Parallel AND PERPENDICULAR lines.
Answer:
I'm certain that it's AB and HI
Step-by-step explanation:
Answer: Parallel: AB and HI
Perpendicular: GE and AE
Step-by-step explanation:
Trina's car uses 12 gallons of gas to travel 132 miles. If she has 6 gallons of gas in the tank, how much more gas will she need to drive 220 miles?
A. 20 gallons
B. 11 gallons
C. 18 gallons
D. 14 gallons
Answer:
D
Step-by-step explanation:
132 divide w/ 12 u get 11
b and c are gone
multiple 20 x 11 u get 220
but bc u already have 6 gallons its 14
20-6
Okay have reposted it.
Answer:
13
Step-by-step explanation:
could i get some helpp
Points are (0, 11) and (2' 1100)
Answer:
whats the question
Step-by-step explanation:
A clothing store is having a sale in which everything is 10% off. A shirt's original price is $27. A customer uses a coupon for $5 off after the sale price. How much did the customer save? A. $3.92 B. $7.20 C. $7.70 D. $19.30
Answer:
C. $7.70
Step-by-step explanation:
First, you have to calculate the 10% of the price and subtract that from the price to find the amount of the discount:
$27*10%=$2.7
Now, you can add the amount of the discount plus the coupon to find the amount that the customer saved:
$5+$2.7=$7.7
According to this, the answer is that the customer saved: C. $7.70
Nicholas has a map that shows a rectangular park with a circular pond. The scale of the map is 1.5 in: 8 yd. On a map, the width of the park is 2.5 inches and the length is 6.25 inches. The pond has a diameter of 2 inches. Find the actual area of the circular pond.Use the pi key. (Answer to the nearest tenth.)
Answer:
The actual area of the pond is 88.9 yd^2
Step-by-step explanation:
We know that in the map, 1.5 inches are equivalent to 8 yards in the real park.
We know that in the map, the pond has a diameter of 2 inches.
Now we want to find the actual area of the circular pond.
Then the first step is to find the diameter of the real pond.
We know that:
1.5 in = 8 yd.
Now we need to count how many times we have 1.5 inches in the diameter of the pond in the map, this is:
N = 2 in/ 1.5in = 1.33
Then the actual diameter of the pond is 1.33 times 8 yards, this is:
D = 1.33*8yd = 10.64 yd
Now, we know that for a circle of diameter d, the area is:
A = pi*(d/2)^2
where pi = 3.14
Then the area of the pond is:
A = 3.14*(10.64 yd/2)^2 = 88.9 yd^2
Answer the 4 questions please.
Answer: 1. y=2/3x+4
2. y=-4x-7
3. y=3x-5
4. y= -5/4x + 2
Hope I helped! :)
Step-by-step explanation:
The approximate areas of two states are listed below.
Texas: 2.69×10^5 square miles
Rhode Island: 1.21×10^3 square miles
Determine the difference, in square miles, between the area of Texas and the area of Rhode Island. Write your answer in scientific notation.
Answer: _________________ square miles
Answer:
2.6779*10^5
Step-by-step explanation:
2.69 * 10^5 - 1.21 * 10^3
This is 2.6779*10^5 :)
The difference between the areas of Texas and the area of Rhode Island is given by equation A = 2.6779 x 10⁵ miles²
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the area of Texas be p = 2.69 x 10⁵ miles²
Let the area of Rhode Island be q = 1.21 x 10³ miles
Now , the difference of areas A = p - q
On simplifying the equation , we get
The difference between the area of Texas and the area of Rhode Island A = 2.69 x 10⁵ miles² - 1.21 x 10³ miles
A = 2.69 x 10⁵ miles² - 1.21 x 10³ miles
A = 10³ ( 2.69 x 100 - 1.21 )
On further simplification , we get
A = 10³ ( 269 - 1.21 )
A = 267.79 x 10³
A = 2.6779 x 10⁵ miles²
Hence , the difference in areas is 2.6779 x 10⁵ miles²
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ7
The distance traveled by Earth in one orbit around
the Sun is about 580,000,000 miles. Earth makes
one complete orbit around the Sun in one year. Of
the following, which is closest to the average speed of
Earth, in miles per hour, as it orbits the Sun?
Answer:
Step-by-step explanation:
v=d/t
v=(580000000mi/y)(y/365d)(d/24h)=66210 mph (rounded to nearest mph)
You are given the expression x^2 +3x - 4. What is the value of x?
Answer:
x = -4 and 1
Step-by-step explanation:
factors out to (x+4)(x-1)
then you make each one equal 0, so -4 and 1
please mark me brainliest to help me get Ace rank
Answer:
x=1 x=-4
Step-by-step explanation:
Factorise the expression
(x-1)(x+4)
each bracket equals to 0 and as its a quadratic there will be 2 answers
so x-1=0 x+4=0
x=1 x=-4
Write the number below in scientific notation.
450,000,000
O A. 4.5 x 107
B. 4.5 x 108
O C. 4.5 x 10‐⁷
D. 4.5 x 10⁹
Answer:
B: 4.5 * 10^8
Step-by-step explanation:
I did the test and got it right
Tom can mow a large estate's lawn in 6 hours. It would take Tom and Ralph 4 hours to mow the lawn if
they work together. How long does it take Ralph to mow the lawn by himself?
Answer:
he can do it in 24 hours if I'm worng correct me
A fraction is a way to describe a part of a whole. The time it was taken by Ralph to mow the lawn by himself is 12 hours.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that Tom can mow a large estate's lawn in 6 hours. Therefore, the area of lawn that Tom can mow in 4 hours can be written as,
[tex]\text{Area of lawn mowed by Tom} = \dfrac46[/tex]
Now, the area of the lawn that is mowed by Ralph can be written as,
[tex]\text{Area of lawn mowed by Ralph} = \dfrac26[/tex]
Since it took 4 hours to mow 2/6 of the lawn by Ralph, therefore, the total time taken by Ralph to lawn the complete area will be thrice 4 hours.
Hence, the time it was taken by Ralph to mow the lawn by himself is 12 hours.
Learn more about Fraction:
https://brainly.com/question/1301963
#SPJ2
24x2 - 48x + 24
A. 6(2x - 2)(2x - 2)
B. 2(3x - 3)(4x - 4)
C. 24(x - 1)(x-1)
D. (6x-6)(4x - 4)
A car dealership needs to transport 4,200 cars to an island. If the ferry can hold 60 cars, how many trips will the ferry need to make?
Answer:
700 cars
Step-by-step explanation:
just divide 4200 by 60 to get 700
Answer: 70
Step-by-step explanation:
If you divide 4,200 by 60 you will get 70 and that is how many trips you would need to make.
Please help tyyyyyyyyy!
please help with graph (will mark brainliest!!)
Answer:
The answer is in the screenshot.
Step-by-step explanation:
Are 12/17 and 10/15 equivalent fractions
Find the length of the hypotenuse.
(will give brainliest, need urgently)
Answer:
A. 6
Step-by-step explanation:
Solve the inequality
Answer:
[tex]x \leq 0\\or\\1 \leq x \leq \frac{3}{2}[/tex]
Step-by-step explanation:
[tex]2x^3-5x^2+3x \leq 0\\\Rightarrow x.(2x^2-5x+3) \leq 0\\\Rightarrow x.(2x^2-2x-3x+3) \leq 0\\\Rightarrow x.[2x(x-1)-3(x-1)] \leq 0\\\Rightarrow x(x-1)(2x-3) \leq 0\\Therefore\\ x \leq 0\\or\\1 \leq x \leq \frac{3}{2}[/tex]