Answer:
The volume of the bookcase is 16 cubic feet.
Step-by-step explanation:
Hey there!
We are given three values (in feet) and asked to find the volume of a bookcase:
8 feet high1 foot deep2 feet wideWe want to find the volume. In order to do this, we need to define:
the formula for finding the volume of a rectangular prismwhat values our data fits withTherefore, the formula for volume is: [tex]v = l \times w \times h[/tex]
[tex]v[/tex] - volume[tex]l[/tex] - length[tex]w[/tex] - width[tex]h[/tex] - heightFinally, we need to assign each number value to either the length, the width, or the height.
Wide is a synonym for width, so our width is 2 feet.
Deep is another way of saying the space inside of the bookshelf, which would be the length (1 foot).
High would refer to how tall something is, so the height is 8 feet.
Now, let's plug in our values and solve for [tex]v[/tex].
[tex]v = l \times w \times h[/tex][tex]v = 1 \times 2 \times 8[/tex][tex]v = (1 \times 2) \times 8[/tex][tex]v = 2 \times 8[/tex][tex]v = \text{16 cubic feet}[/tex]It's important to note that since we are finding volume, our measurement of feet becomes cubic feet.
Therefore, the volume of the bookcase is 16 cubic feet.
Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior to off-ramps. These signs typically do not provide information on distances. The article Evaluation of Adding Distance Information to Freeway-Specific Service (Logo) Signs (J. of Transp. Engr., 2011; 78-888) reported that in one investigation, six sites along Virginia interstate high ways where service signs are posted were selected. For each site, crash data was obtained for a three-year period before distance information was added to the service signs and for a one-year period afterward. The number of crashes per year before and after the sign changes were as follows:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
The cited article included the statement A paired t test was performed to determine whether there was any change in the mean number of crashes before and after the addition of distance information on the signs. Carry out such a test. [Note: The relevant normal probability plot shows a substantial linear pattern.] a seventh site were to be randomly selected among bearing service signs, between what values predict the difference in number of crashes to lie?
Answer:
H0 : μd = 0
H1 : μd ≠ 0
Test statistic = 0.6687 ;
Pvalue = 0.7482 ;
Fail to reject H0.
Step-by-step explanation:
H0 : μd = 0
H1 : μd ≠ 0
Given the data:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
Difference = -1 2 24 35 -18 -9
Mean difference, d ; Σd / n
d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))
d = Σx / n = 33 / 6 = 5.5
Test statistic = (d / std / sqrt(n))
std = sample standard deviation = 20.146
Test statistic = 5.5 ÷ (20.146/sqrt(6))
Test statistic = 0.6687
The Pvalue :
P(Z < 0.6687) = 0.7482
At α = 0.05
Pvalue > α ; Hence we fail to reject H0
The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
Joaquin gets paid every Friday. His paychecks for the past 8 fridays were $324, $245.25, $245.25, $245.25, $324,$324,$245.25 and $402.75 find the median
Answer:
284.625
Step-by-step explanation:
Arrange the numbers highest to lowest.
Find the middle value in the arrangement.
Pls help me on this question
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
If probablikty is 5/12 then, not picking is 7/12
What is the median of the following set?
28, 45, 12, 34, 36, 45, 19, 20
28
34
31
35
Answer:
31 IS YOUR ANSWER!!
Step-by-step explanation:
I would not mind the brainliest please!!
Find x to the nearest tenth. Click on the pic i really need help
Answer:
140 degrees i think
Step-by-step explanation:
Solve for angle X in the diagram
NO LINKS PLEASE
Answer:
it would be 145
Step-by-step explanation:
the two angles make a straight line, 180-35 is 145
Answer: 145
Step-by-step explanation:
supplementary angle rule: on a straight line, all angles add up to 180
180 = 35 + x
180 - 35 = x
145 = x
The graph of y=f(x) is given below. Which of the answer choices shows the graph of y=f(1/3x)?
up one over three
Step-by-step explanation:
start at 3
Plz help me well mark brainliest if correct!!!
Answer:
C
Step-by-step explanation:
HELP ME !!!!!!!! a car is moving 70 miles per hour. how far does it travel in 16seconds
i’ll give 15points pls help
Answer:
0.311 mile
Step-by-step explanation:
There are 3600 seconds in 1 hour.
Thus, 70 mph, when multiplied by the appropriate conversion factors, comes out to:
70 mi 1 hr
--------- * --------------- = 0.019 mi/sec
1 hr 3600 sec
and so the desired distance is found by multipying (0.019 mi/sec) by 16 sec:
0.311 mile
Given: cos θ=-4/5, sin x = -12/13, θ is in the third quadrant,
x is in the fourth quadrant; evaluate
tan2θ
A. 24/5
B. 24/7
C.12/13
By definition of tangent,
tan(2θ) = sin(2θ) / cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
where the latter equality follows from the Pythagorean identity, cos²(θ) + sin²(θ) = 1. From this identity we can solve for the unknown value of sin(θ):
sin(θ) = ± √(1 - cos²(θ))
and the sign of sin(θ) is determined by the quadrant in which the angle terminates.
We're given that θ belongs to the third quadrant, for which both sin(θ) and cos(θ) are negative. So if cos(θ) = -4/5, we get
sin(θ) = - √(1 - (-4/5)²) = -3/5
Then
tan(2θ) = sin(2θ) / cos(2θ)
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)
tan(2θ) = 24/7
Which expression can be used to find the surface area of the following rectangular prism?
Choose 1 answer:
(Choice A)
30+15
B
15+15+30+30+18+18
C
15+15+30+30+6
D
15+18+30
What are the slope and y-intercept of the graph of the equation?
Answer:
Slope= -1/2
y-intercept= 2/3
Can you solve for x and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answer:
Hypotenuse = 85 cm
Hypotenuse = 89 cm
Hypotenuse = 103.08 cm (Approx.)
Hypotenuse = 54.71 cm (Approx.)
Step-by-step explanation:
Shape 1
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √36² + 77²
Hypotenuse = √1,296 + 5,929
Hypotenuse = √7,225
Hypotenuse = 85 cm
Shape 2
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √39² + 80²
Hypotenuse = √1,521 + 6,400
Hypotenuse = √7,921
Hypotenuse = 89 cm
Shape 3
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √25² + 100²
Hypotenuse = √625 + 10,000
Hypotenuse = √10,625
Hypotenuse = 103.08 cm (Approx.)
Shape 4
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √17² + 52²
Hypotenuse = √289 + 2,704
Hypotenuse = √2,993
Hypotenuse = 54.71 cm (Approx.)
Melissa, Dan, and Henry have $87 in their wallets. Dan has 3 times what Henry has. Melissa has $8 less than Henry. How much does each have?
Answer:
Henry has $19, Dan has $57, and Melissa has $11
Step-by-step explanation:
Let x represent how much money Henry has
Since Dan has 3 times what Henry has, his amount is 3x
Since Melissa has $8 less than Henry, her amount is x - 8
Create an equation that sets these 3 values equal to 87, then solve for x
(x) + (3x) + (x - 8) = 87
5x - 8 = 87
5x = 95
x = 19
So, Henry has $19
Find how much Dan has by multiplying 19 by 3
19(3)
= 57
Find how much Melissa has by subtracting 8 from 19
19 - 8
= 11
So, Henry has $19, Dan has $57, and Melissa has $11
Answer:
Dan has $261 and Melissa has $79
24 fl.ounces = how many cups?
Answer:
3 cups
Step-by-step explanation:
Answer:
Its 3
Step-by-step explanation:
you divide the volume value by 8
24 = 3
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
V=3052.1 square units.
Step-by-step explanation:
Using the formulas
V=4
3πr^3
d=2r
Solving for V
V=1
1/6πd^3=1
1/6·3.14·18^3=3052.08
round to the nearest tenth place so your volume would be 3052.1 :)
Answer:
3052.1
Step-by-step explanation:
The formula for volume of a sphere: 4/3 x pi x r^3 (4/3 x pi x radius x radius x radius).
Here, only the diameter is shown. To find the radius, we must divide the diameter (18) by 2.
18 / 2 = 9
9 is the radius.
Now, we have our final equation:
4/3 x pi x radius x radius x radius
4/3 x 3.14 x 9 x 9 x 9 = 3052.08
(3.14 is commonly used for pi)
3052.08 rounded to the nearest tenth is 3052.1
Therefore, 3052.1 is the volume of the sphere.
(3b^3)^2 without exponents
Answer:
When (3b³)² is simplified, it equals 3b⁶
Step-by-step explanation:
3 × 2 = 6
The exponent is 6
30 is to 150, like ___ is to 45 A)9 B)400 C)5 D)15
Answer:
D.
Step-by-step explanation:
divide 45 by 3
Writing ratios as a percentage
In the past year Heather watched 16 movies that she thought were very good. She watched 50 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
She rated 32% percent of the movies very good
9. Which of the following fractions is equivalent to 1.68?*
25
17
25
42
A
OB.
42
7
25
4.
4x + 3 2x+9 solve for x
Answer:
The value of x is 28°
Step-by-step explanation:
Here, In a given figure
4x + 3° ...(1)
2x + 9° ...(2)
Now, we know that the sum of all angle is 180° on a straight line
So,
4x + 3° + 2x + 9° = 180°
6x + 12° = 180°
6x = 180° - 12°
6x = 168°
x = 168° ÷ 6
x = 28°
Thus, The value of x is 28°
FOR VERIFICATION ONLY:-4x + 3° + 2x + 9° = 180°
4(28) + 3° + 2(28) + 9° = 180°
112° + 3° + 56° + 9° = 180°
180° = 180°
Hence, L.H.S = R.H.S
-TheUnknownScientist
solve 2x^2+3x-2 when x=5
Answer:
63
Step-by-step explanation:
2(5)²+3(5)-2
50+15-2
using bodmas
65-2
63
Answer:
63
Step-by-step explanation:
Draw the image of the rotation of quadrilateral SORT by 270° about the origin
Answer:
70
Step-by-step explanation:
can someone help me with this question I tried all apps and it gives me the wrong answer, the due date is today plus its half of my grade if u helped ilysm u saved my life
Answer:
[tex]4\frac{1}{12}[/tex] miles.
Step-by-step explanation:
The goal of the family is to hike [tex]11 \frac{2}{3}[/tex] miles in total. Converting this to an improper fraction, we need a total of [tex]\frac{35}{3}[/tex] miles.
On Monday the family completed [tex]2 \frac{1}{12}[/tex] miles, or [tex]\frac{25}{12}[/tex] miles.
On Tuesday the family completed [tex]2 \frac{1}{3}[/tex] miles, or [tex]\frac{7}{3}[/tex] miles.
On Wednesday the family completed [tex]3 \frac{1}{6}[/tex] miles, or [tex]\frac{19}{6}[/tex] miles.
Next, we can add the total amount of hiking the family has completed from Monday-Wednesday.
[tex]distance= \frac{25}{12} + \frac{7}{3} + \frac{19}{6}[/tex]
In order to add these values, we need to convert all of the fractions so that they have the same denominator. The least common multiple (LCM) of 12, 3, and 6 is 12, so the fractions can all be converted into having a denominator of 12.
Monday's distance [tex]\frac{25}{12}[/tex] already has a denominator of 12.
Tuesday's distance is [tex]\frac{7 * 4}{3 * 4} = \frac{28}{12}[/tex].
Wednesday's distance is [tex]\frac{19 * 2}{6 * 2} = \frac{38}{12}[/tex].
Convert the total distance goal to have a denominator of 12 as well. [tex]\frac{35 * 4}{3 * 4} = \frac{140}{12}[/tex].
Sum the total distance the family has walked on Monday-Wednesday. [tex]\frac{25}{12} + \frac{28}{12} + \frac{38}{12} = \frac{91}{12}[/tex].
Subtract this value from the total hiking distance. [tex]\frac{140}{12} - \frac{91}{12} = \frac{49}{12}[/tex]. The family needs to walk [tex]\frac{49}{12}[/tex] miles, or [tex]4 \frac{1}{12}[/tex] miles on Thursday to complete their goal.
As the question told , the goal of they hiking is reaching to the 11 2/3 hours of hiking which means :
The sum of the hours they hiking during those four days must equal 11 2/3 hours .
Suppose they hiking for x hours on Thursday so we have the following equation :
2 1/12 + 2 1/3 + 3 1/6 + x = 11 2/3
To simplify the addition and subtraction of fractions, we must find a common denominator between them ;
The smallest common multiple between the numbers 3, 6, and 12 is the denominator we want, which is 12. But because day 24 is easier to understand, I consider the common denominator of fractions to be 24.
2 + 2 + 3 + 1/12 + 1/3 + 1/6 + x = 11 + 2/3
7 + 2/24 + 8/24 + 4/24 + x = 11 + 16/24
7 + ( 2 + 8 + 4 )/ 24 + x = 11 + 16/24
7 + 14/24 + x = 11 + 16/24
Subtract sides minus 14/24
7 + 14/24 - 14/24 + x = 11 + 16/24 - 14/24
7 + 0 + x = 11 + 2/24
7 + x = 11 + 2/24
subtract sides minus 7
7 - 7 + x = 11 - 7 + 2/24
0 + x = 4 + 2/24
x = 4 + 1/12
x = 4 1/12
The Pacheco family has a monthly income of $ 7,300 . They have monthly fixed expenses of $ 3,280 . In July, they had monthly variable expenses of $ 2,620 . They have annual expenses totaling $ 14,000 . Assuming annual expenses are paid off at an equal rate monthly, what was the Pacheco’s cash flow for July?
Answer:
Positive 233
Step-by-step explanation:
7300-3280-2620-1167(14000/12)=233.
Find the value of "x" in each angle
Answer:
x = 45°
Step-by-step explanation:
x = 90° - 45° = 45°
If you work 7 miles from your home and work 5 days a week, how many miles do you travel for work each week?
What is the value of this expression?
5+6×(5−2)+9
77
62
42
32
Answer:
32
Step-by-step explanation:
5 + 6 * (5 - 2) + 9
5 + 6 * 3 + 9
5 + 18 + 9
23 + 9
32
I need help with this question can someone help plz
Answer:
The height is 13.3 in
Step-by-step explanation:
Pythagorean Theorem
23.5²+b²=27²
552.25+b²=729
b²=729-552.25
b²=176.75
b=√176.75
13.2947
If y = 8(2. 4)* represents the number of bacteria in a culture at time t, how
many will there be at time t =9 ?
Answer:
21134 bacteria
Step-by-step explanation:
The given parametrs can be interpreted as:
[tex]y = 8(2.4)^t[/tex]
Required
Find y when t = 9
Substitute [tex]t = 9[/tex]
So:
[tex]y = 8(2.4)^9[/tex]
[tex]y = 8 * 2.4^9[/tex]
[tex]y = 8 * 2641.81[/tex]
[tex]y = 21134.48[/tex]
[tex]y = 21134[/tex] --- approximated
Hence, there are 21134 bacteria