Answer:
Density = 52.8 pound per cubic feet.
Step-by-step explanation:
Given the following data;
Length = 2.5 feet
Width = 0.5 feet
Height = 0.25 feet
Mass = 16.5 pound
To find the density of the wood;
First of all, we would determine the volume of the wood.
Volume = length * width * height
Volume = 2.5 * 0.5 * 0.25
Volume = 0.3125 cubic feet
Next, we find the density;
Mathematically, density is given by the formula;
Density = mass/volume
Substituting into the formula, we have;
Density = 16.5/0.3125
Density = 52.8 pound per cubic feet.
Two bonds are available on the market as follows: Bond 1: Face value $250, 5 years to maturity at a simple interest rate of 5%. Bond 2: Face value $350, 3 years to maturity at a simple interest rate of r. Given that both bonds yield the same interest at maturity, calculate r. Round your answer to the nearest hundredth of a percent. Do NOT round until you have calculated your final answer.
Answer:
5.95%
Step-by-step explanation:
Bond 1:
I = 250(.05)5
I = $62.50
Bond 2:
62.5 = 350(3)r
62.5 = 1050r
r = 62.5/1050
r = 5.95%
Answer:
5.95%
Step-by-step explanation:
Find the volume of the solid
Answer:
Volume of the given pyramid is 68 mm³.
Step-by-step explanation:
Figure given in the picture is a pyramid.
And volume of a pyramid is given by the formula,
Volume = [tex]\frac{1}{3}(\text{Area of the base)(\text{Height})}[/tex]
Area of the base = 68 mm²
Height of the pyramid = 3 mm
Therefore, volume of the pyramid = [tex]\frac{1}{3}(68)(3)[/tex]
= 68 mm³
Volume of the given pyramid is 68 mm³.
Gift wrappers tend to have competitions on who can wrap more presents in a day. If Benjamin wrapped 9 less presents than Christopher, who wrapped x presents, choose the expression that shows how many presents Benjamin wrapped.
Answer:
x-9.
the expression that shows how many presents benjamin wrapped would be x-9
40 PTS ! The length of the rectangle is 2 ft more than its width. The area of the rectangle is 80 square feet. Find the width of the rectangle.
Answer:
The length of a rectangle is 2 feet more than it's width. How do you find the dimensions of the rectangle if its area is 63 square feet?
Step-by-step explanation:
x(x+2) = 63
x^2 + 2x = 63
x^2 + 2x - 63 = 0
Quadratic formula with numbers plugged in: (-2 +or- sqrt(4 - 4* 1 * -63))/2 becomes
-2 +or- sqrt(256)/2 so (-2 +or- 16)/2 therefore -18/2 or 14/2. Discard negative result.
x = 7. 63/7=9. Sides are 7ft and 9ft.
Answer:
8 ftStep-by-step explanation:
Given
The length l = w + 2The area lw = 80Substitute l and solve the following for w:
w(w + 2) = 80w² + 2w = 81w² + 2w + 1 = 81(w + 1)² = 9²w + 1 = 9w = 8The width is 8 ft
Double checking but is this A
Answer:
si
Step-by-step explanation:
si
#11. The space occupied by a wooden block is 4cm × 2cm × 2cm=_____cm 3 Which is equivalent to_______mililiters
Answer:
Solution given;
The space occupied by a wooden block is 4cm × 2cm × 2cm=_16__cm 3 Which is equivalent to____16___mililiters
Step-by-step explanation:
we have
1cm³=1millilitre.
Look at the two patterns below: Pattern A: Starts from 4 and follows the rule "add 9" Pattern B: Starts from 4 and follows the rule "add 5" Select the statement that is true. (4 points) Group of answer choices The first five terms in Pattern A are 4, 13, 22, 31, 40. The first five terms in Pattern B are 0, 4, 9, 14, 19. The terms in Pattern A are 2 times the corresponding terms in Pattern B. The terms in Pattern B are one fifth the corresponding terms in Pattern A.
Answer:b
Step-by-step explanation:
The terms in Pattern B are one third the corresponding terms in Pattern A.
Write the fraction that represents the amount of candy bar each person would get when sharing three candy bars equally among seven
people.
Answer:
I think the answer is 1 2
5
1. 5 times a number decreased by 12 equals 62. What is the number?
Equation:
Solution:
2. One-half of a number is 8. What is the number?
Equation:
Solution:
help me please..tnx
HELP I NEED TO DO THIS NOW NO LINKS THEY WOULD BE REPORTED JUST TELL ME WHAT I NEED TO PUT
Plz help me well mark brainliest if correct!!...
9514 1404 393
Answer:
B) fifth grade boys
Step-by-step explanation:
55 tickets is halfway between the lines marked 50 tickets and 60 tickets. The bar that comes closest to that value is the right-most green bar, representing ...
fifth-grade boys
where does f(x) and the line y=1 intersect?
NEED HELP ASAP! brainlist... A rectangular feild has a perimeter of 100 feet. Its length is 20 feet longers than its width. What are the dimensions of the feild?
answers:
15 ft by 35 ft
20ft by 30ft
35ft by 55ft
40ft by 60ft
Answer:
15 ft by 35 ft
Step-by-step explanation:
15 + 15 + 35 +35
=100 ft
Answer:
Perimeter = 2 × (length + width) -------(1)
Let width be w
Given length is 20ft longer than width, L = 20 + w
substitute L and w in (1)
perimeter = 2× ( 20 + w + w)
100 = 2 ×(20 + 2w)
50 = 20 + 2w
30 = 2w
w= 15feet
L = 20 + w = 20 + 15 = 35feet
option 1) 15 ft by 35ft
Part E: What is the interquartile range for the data in Table 3 (Number of Siblings)?
this is pass due pls help!!!!
I highlighted the table needed to complete this question:
Answer:
14.85
Step-by-step explanation:
Answer:
The correct answer is 2
Step-by-step explanation:
I already did this assignment. Its the upper quartile minus the lower quartile so it literally cannot be 14.85.
which expression is represented by the phrase "9 less than 5 times a number"?
Which of the following equations must also be true? Select three that apply.
Answer:
[tex] \frac{ - r}{ - s} = t[/tex]
[tex] \frac{ - r}{s} = t[/tex]
[tex] \frac{r}{ - s} = - t[/tex]
If you want to find how much liquid a container will hold, you want to find the _____.
area
circumference
square feet
volume
Answer:
volume
Step-by-step explanation:
What properties and conventions do I need to understand (and be able to apply) in order to simplify and evaluate algebraic expressions?
Answer:
So there are alot of various properties that could be used to solve different kinds of algebraic expressions. To solve a simple algebraic equation, most of the times u need to know the, addition, subtractions properties as well as division and multiplication division property.
Hope this helps!
a maintenance worker is replacing worn rope on 6 flagpoles.the worker needs 40 feet rope for eqch flagpole. at the hardware store, rope is sold by the yard.how many yards of rope does the workwr need to buy for all 6 flagpoles?
The right triangle on the right is a scaled copy of the right triangle on the left. Identify
the scale factor. Express your answer in simplest form
Answer:
scale factor = [tex]\frac{34}{39}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{34}{39}[/tex]
Many countries, especially those in Europe, have significant gold holdings. But many of these countries also have massive debts. The following data show the total value of gold holdings in billions of U.S. dollars and the debt as a percentage of the gross domestic product for nine countries (WordPress and Trading Economics websites, February 24, 2012).
Country Gold Value Debt
China 63 17.7
France 146 81.7
Germany 203 83.2
Indonesia 33 69.2
Italy 147 119
Netherlands 36 63.7
Russia 50 9.9
Switzerland 62 55
U.S. 487 93.2
Required:
a. Using the entire data set, develop the estimated regression equation that can be used to predict the debt of a country given the total value of its gold holdings.
b. Use residual analysis to determine whether any outliers or influential observations are present.
c. Compare the estimated slope for the new estimated regression equation to the estimated slope obtained in part (c).
Answer:
Regression model = y = 0.123X + 49.077
Influential point = US ; 487 ; 93.2
Slope with influential point present = 0.123
Slope without influential point = 0.342
Step-by-step explanation:
Given the data:
Gold value (X) :
63
146
203
33
147
36
50
62
487
Debt (Y) :
17.7
81.7
83.2
69.2
119
63.7
9.9
55
93.2
Using the online regression calculator :
The model obtained is :
y = 0.123X + 49.077
y = predicted variable ; debt
Slope = 0.123
x = predictor variable ; gold value
Intercept = 49.077
The influential observation :
US ; 487 ; 93.2
Dropping this observation from our data and fitting the model ;
Model without the influential point :
y = 0.342X+ 30.769
Slope with influential point present = 0.123
Slope without influential point = 0.342
Marcus weighs 45.5 kg what is his weight in grams
Answer: 45500
Step-by-step explanation: 45.5*1000, 1 kg=1000g
Answer:
45500
Step-by-step explanation:
please comment on his
please help, I’ll give brainliest to anyone who gets it’s right:) if you send a link, I’ll report sorry! :(
The figures below show the populations of 25 cities randomly selected from the 200 largest
cities in each of two countries. Based on these samples, about how much larger is the
median population of China's 200 largest cities than the median population of India's 200
largest cities?
Answer:
600 000
Step-by-step explanation:
took the same test nav
cow is tied to a tree on grazing land with a 9 -meter rope What is the longest distance around that it can cover ?
Find the missing number in this function table.
Answer:
25
Step-by-step explanation:
2(13)-1=25
Answer:
25
Step-by-step explanation:
Using the equation given, 2x-1, you can plug in x, which is given in the table, and solve.
13 is given for x so you plug 13 into 2x-1;
2(13)-126-125you can then check your answer to make sure you did it correctly by plugging in another x number (such as 4) and checking to see if you get the same number as the one given.
Can anyone help? I’ll give Brainly.. thank you
x raise to the fourth power three times
Answer:
If you mean multiply by three when you say “three times”, then 3.
If you mean 1 to the third power when you say “three times”, then 1.
Step-by-step explanation:
1 x 1 x 1 x 1=1 is 1 to the fourth power.
If you mean multiply by three when you say “three times”, then 1x3=3.
If you mean 1 to the third power when you say “three times”, then 1x1x1=1.
How to do y=5x+2 and 3x=-y+ 10
Can someone help me find the median first quartile second quartile third quartile and the interquartile range
for the questions
4.
5.
6.
7.
1. Which point is a solution to this system of equations? 3х - у = 7 and 2x + 3y = 1
9514 1404 393
Answer:
(x, y) = (2, -1)
Step-by-step explanation:
A graphing calculator can find a solution quickly. (see attached)
__
The first equation can give an expression for y:
y = 3x -7
We can substitute this into the second equation:
2x +3(3x -7) = 1
11x -21 = 1 . . . . . . simplify
11x = 22 . . . . . . . add 21
x = 2 . . . . . . . divide by 2
y = 3(2) -7 = -1 . . . . using our equation for y
The solution is (x, y) = (2, -1).