Answer:
[tex]0.19\,\,cubic\,\,feet[/tex]
Step-by-step explanation:
Given:
The concrete block is a rectangular prism with two cubes cut out. The cubes have a side length of 6 inches.
To find: total volume, cubic feet, of concrete needed to make this block
Solution:
Side of cube = 6 inches
Volume of cube = [tex](side)^3=6^3=216\,\,cubic\,\,inches[/tex]
So, volume of two cubes = 2(216) = 432 cubic inches
Length of rectangular prism = 12 inches
Breadth of rectangular prism = 8 inches
Height of rectangular prism = 8 inches
Volume of rectangular prism = length × breadth × height = [tex]12(8)(8)=768 \,\,cubic\,\, inches[/tex]
Total volume of concrete needed to make this block = Volume of rectangular prism - Volume of two cubes = 768 - 432 = 336 cubic inches = [tex]\frac{336}{1728} =0.19\,\,cubic\,\,feet[/tex]
( use 1 cubic inch = [tex]\frac{1}{1728} \,\,feet[/tex])
Which expression is equivalent to 10√5
Answer:
A. √500
Step-by-step explanation:
Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.
Hence 10√5 = √500
So we're using these rules:
√a·b = √a·√b
and of course
√a² = a (a>0)
Factor the expression below.
x2 - 6x + 9
A.
(x + 3)(x + 3)
B.
3(x2 - 2x + 3)
OC. (x-3)(x-3)
OD.
(x - 3)(x + 3)
HELP
This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.
Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3
-3 plus -3 = -6
-3 times -3 = 9
So this is why x^2-6x+9 = (x-3)(x-3)
We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.
Answer:
C. (x-3)(x-3)
Step-by-step explanation:
x² - 6x + 9 = 0
x² - 3x - 3x + 9 = 0
x(x - 3) - 3(x - 3) = 0
(x - 3) (x - 3) = 0
Look at the data points on the graph:
Is this relation a function?
Find the 40th term of this arithmetic sequence 4,9,14,19
Answer:
199
Step-by-step explanation:
I believe it's 199. The interval is just 5.
Answer:
the answer is going to be more than 11111111111119 (this is the 26th term)
Step-by-step explanation:
A sports stadium holds 14,600 people. There are eight home games in
a season. Find the total number of people who could attend home
games in one season.
Answer:
116800
Step-by-step explanation:
14600x8
166800
Answer:
b
Step-by-step explanation:
hope this helps you
a baseball game has a total of 9 inning. in each inning there are 2 teams that each have to make 3 outs in order for the inning to be complete
Simplify the following expression
x^5/x^-2=x^n
A. 8
B. 2
C. 7
D. 10
Answer:
7
Step-by-step explanation:
x^5/x^-2=x^n
x^5=x^n×x^-2
x^5=x^-2+n
5=-2=n
n=7
this is 100% correct
plzz mark me brainliest
2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2
Can someone please tell me what is -1/9(-27) please
A rectangular flower garden in Samantha's backyard has 100 feet around its edge. The width of the garden is 20 feet.
What is the length of the garden?
Answer:
Step-by-step explanation:
Total= 100 Ft
Width= 20
Length=?
Total - Width = Length
100 - 20 =
80 Length Of the Garden
asapppp
What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2
making a sandwich with ham, turkey, or roast beef; swiss or provolone cheese; and mustard or mayonnaise. how many outcomes are there A. 14 C. 16 B. 12 D. 19
The answer is 12
Ham, swiss, mustard
Ham, swiss, mayonnaise
Ham, provolone, mustard
Ham, provolone, mayonnaise
Turkey, swiss, mustard
Turkey, swiss, mayonnaise
Turkey, provolone, mustard
Turkey, provolone, mayonnaise
Roast beef, swiss, mustard
Roast beef, swiss, mayonnaise
Roast beef, provolone, mustard
Roast beef, provolone, mayonnaise
Which figures can be circumscribed by a circle? Select all that apply.
Answer:
Using the properties of inscribed quadrilateral (the sum of two opposite angles is 180 deg), we have
Option A, B, C are all correct (those figures can be circumscribed by a circle).
Hope this helps!
:)
Question 25
.........................................................
Answer:
its c
Step-by-step explanation:
Please justify the answer
Answer:
The age of the car in years is the independent variable
The average miles is the dependent variable
Step-by-step explanation:
Typically, the age of the car will have an affect on the number of miles per gallon. However, the number of miles per gallon will not make it gain or lose more years, so the age is independent because it does not depend on another variable.
Hope this makes sense :)
|n|=5 what is the value for n.
A -5or5
B 0 and 5
C -5 only
D 5 only
Answer:
A -5or5
Step-by-step explanation:
|n|=5
Absolute value means take the positive value of the number
|5|=5
|-5|=5
so positive 5 and -5
Which is a solution to 2x + 1 = 21?
Answer:
x = 10 is your answer
- Explain -
Step 1: subtract 1 from both sides (subtraction of equality)
which will give us:
2x = 21 - 1
which equals to
2x = 20
Step 2: Divide both sides by 2
which is
2x/2 = 20/2
2/2 = 1 and 20/2 = 10
Therefore the answer is x = 10
Find the area of the shape shown below.
Answer:
44.5
Step-by-step explanation:
(1 x 12) + (5 x 13)/2 = 44.5
Answer: 44,5 cm2
Step-by-step explanation:
Rektangel:
1 × 12 = 12 cm2
triangel:
13 × 5 = 65 cm2
78 ÷ 2 = 32,5 cm2
Area:
32,5 + 12 = 44,5 cm2
Which values are solutions to the inequality below
Check all that apply
Which table of ordered pairs represents a proportional relationship?
Answer:
The first table
Step-by-step explanation:
Because both side -1 every time.
Answer: C
Step-by-step explanation:
It represents a proportional relationship because each time they add two
What is the range for this data set?
37 years
9 years
41 years
Answer:
30 years
Step-by-step explanation:
41 minus 11=
A Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0). where is the ball after six seconds?
We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).
We are asked to find the position of ball after 6 seconds.
We will use horizontal position and vertical position formula to solve our given problem.
Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,
v = Velocity,
t = Time,
[tex]\theta[/tex] = Angle to the starting line.
For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].
[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]
[tex]x=10.8 \cdot 0.087155742748[/tex]
[tex]x=0.9412820216784\approx 0.94[/tex]
[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]
[tex]y=10.8\cdot 0.996194698092[/tex]
[tex]y=10.7589027\approx 10.76[/tex]
Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].
Answer:
(0.8,9.6)
Step-by-step explanation:
x=1.6*cos85* 6=0.8
y=1.6*sin85 *6=9.6
What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?
$15,760
$13,760
$13,370
$11,760
Answer:
15,760
Step-by-step explanation:
I just added all of them...
The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
To find the sticker price we just need to add all the extras to the suggested retail price:
suggested retail price $13,760
air conditioner $800
cruise control $235
custom sound system $490
destination charge $475
total sticker price = 13,760 + 800 + 235 + 490 + 475
= 15,760
The total sticker price would be $15,760.
The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.
Learn more about addition;
https://brainly.com/question/14092461
#SPJ2
Percentages equal to 100% and how?
Answer:
2 or more percents add up to 100% or one percent is 100%
Step-by-step explanation:
Write the following number in scientific notation:
0.0000487
Answer:
4.87 × 10-5
Step-by-step explanation:
Hopes this helps.
The answer is 4.87 x 10^-5
What is the slope of y=5x-1y=5x−1y, equals, 5, x, minus, 1?
Answer:
5
Step-by-step explanation:
In this question the slope would be 5.
y= mx + b is the equation being used.
y = 5x -1
m = slope
Answer:
5
Step-by-step explanation:
The area of a wetland is 10,000 acres. A biologist predicts that the area of the wetland will change according to the equation y equals 10000 left-parenthesis 0.65 right-parenthesis Superscript x Baseline, where y is the area of the wetland after x years. Based on the biologist's prediction, what will the area of the wetland be in 2 years?
Answer:
4,225 acresStep-by-step explanation:
If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;
y is the area of the wetland after x years
In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;
[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]
The area of the wetland in 2 years based on the biologist prediction will be 4225 acres
Answer:
4225
Step-by-step explanation:
HELP ME WITH MY 7th-GRADE MATH HW (will mark brainless)
Answer:
124 sq cm
Step-by-step explanation:
Surface Area of the recatangles on both sides is 50 cm each so
50+50=100
and the area of the two triangles is 12 each so
12+12=24
and 100+24=124
Answer:
184cm^2
Step-by-step explanation:
SA=hp+2B
h=10
p=16
hp=160
B= 1/2bh
B=12
12x2=24
hp+2B= 24+160= 184
please answer this and please provide explanation since I need to explain in homework thank you I really appreciate it
Answer:
27648inches÷64inches=432 tiles
Step-by-step explanation:tiles cost 3456
Find the measure of x.
15(x+2)
X=-1
x = 7
X = 9
x=13
Answer:
x=7
Step-by-step explanation:
7+2 = 9. 9*15 = 135 degrees