A solid figure is composed of a cube and a pyramid as shown. What is the volume
Answer:
288 in^3
Step-by-step explanation:
1) find the volume of the cube
V = side^3 = 6^3 = 216 in^3
2) find the base surface of the pyramid:
base surface = side^2 = 6^2 = 36 in^2
3) find the height of the pyramid:
height of the solid - height of the cube = 12 - 6 = 6 in
4) find the volume of the pyramid:
V = (base area x height) / 3 = (36 x 6)/3 = 72 in^3
5) add up the two volumes
V = 216 + 72 = 288 in^3
an equilateral triangle has perimeter P. The length of one side is p/3 which expression is equivalent to the length of one side?
a.) 2/3p
b.) 3/4p
c.) 1/3p
d.) 3p
Answer:
Your answer is C
Step-by-step explanation:
someone please help.
find the angle between the given vectors to the nearest tenth of a degree
u=<-5,-4>, v=<-4,-3>
a: -9.1
b: 1.8
c: 0.9
d: 11.8
Answer:
The answer is b: 1.8
Step-by-step explanation:
Use the arctans of (-4/-5) and subtract is from the arctan of (-3/-4)
38.65980825 - 36.86989765 = approx. 1.8 (b)
:)
A watt is a unit of power, which measures energy used per unit time. A kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr. The electric utility company in Laura's town charges $0.06001 for each
kilowatt hour used. Laura heats her house with three electric heaters that each use 1200 watts. How much does it cost to heat a house in one day? How many hours what a 75 watt lightbulb have to stay on to result in one dollar for electricity charges?
Answer:
It costs Laura $ 5,184.86 to heat her house one day.
A 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.
Step-by-step explanation:
Given that a kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr, and the electric utility company in Laura's town charges $ 0.06001 for each kilowatt hour used, and Laura heats her house with three electric heaters that each use 1200 watts, to determine how much does it cost to heat a house in one day and how many hours would a 75 watt lightbulb have to stay on to result in one dollar for electricity charges the following calculations must be performed:
(3 x 1200 x 24) x 0.06001 = X
(3600 x 24) x 0.06001 = X
86400 x 0.06001 = X
5,184.86 = X
Therefore, it costs Laura $ 5,184.86 to heat her house one day.
1 watt = 0.001 kilowatt
75 watt = 0.075 kilowatt
1 / 0.075 = 13.333
1 / 0.06001 = 16,663
13,333 x 16,663 = 222.18
Therefore, a 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.
A train ticket in a certain city is$1.50. People who use the train also have the option of purchasing a frequent rider pass for $15.75each month. With the pass, each ticket costs only $0.75. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass.
Answer:
15.75-1.50=14.15
14.15-0.75=13.50
• 1 1 Write equivalent fractions for 3 and 1. using 12 as the common denominator. 3 -1- 12 12
Answer:
6 and 8
Step-by-step explanation:
A candle shop owner collected data on customers’ favorite scents, as shown in the table.
Lavender 0.31
Vanilla 0.18
Cinnamon 0.23
Floral ?
Coconut ?
A customer is randomly selected. If the probabilities of a customer choosing floral and coconut as their favorite scents are the same, what is the value of the missing probabilities?
0.10
0.14
0.20
0.28
Answer:
Step-by-step explanation:
It's 14
The missing probabilities for Floral and Coconut are both 0.14.
To find the missing probabilities for Floral and Coconut, we need to consider that the sum of all probabilities must equal 1.
Let's calculate the missing probabilities:
The sum of the given probabilities is:
0.31 + 0.18 + 0.23 = 0.72
Since the sum of all probabilities must equal 1, we subtract the sum of the given probabilities from 1 to find the remaining probability:
1 - 0.72 = 0.28
Since the probability of Floral and Coconut is the same, we divide the remaining probability equally between the two scents:
0.28 / 2 = 0.14
Therefore, the missing probabilities for Floral and Coconut are both 0.14.
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Solve this simultaneous equation x+2y=11
x-2y=1
Answer:
Equation 1,
[tex]x + 2y = 11[/tex]
Equation 2,
[tex]x - 2y = 11[/tex]
Take equation number 2.
[tex]x - 2y = 11 \\ x = 11 + 2y[/tex]
Substitute 'x' in Equation number 1.
[tex]x + 2y = 11 \\ 11 + 2y + 2y = 11 \\ 11 + 4y = 11 \\ 4y = 11 - 11 \\ 4y = 0 \\ y = \frac{0}{4} \\ y = 0[/tex]
y = 0.
So x,
[tex]x = 11 - 2y \\ x = 11 - 2(0) \\ x = 11 - 0 \\ x = 11[/tex]
x = 11.
Answer:
using elimination method multiply both equations by 2...then subtract equation 2 from 1
Drag each number to the correct location on the table.
Classify the numbers according to their positions on a vertical number line.
2.3
3
-5.1
-2.5
5.2
2.5
-5.8
-0.1
Below -0.5
Between -0.5 and 2.9
Above 2.9
Answer:
See below
Step-by-step explanation:
Below -0.5: -5.1, -2.5, -5.8
Between -0.5 and 2.9: 2.3, 2.5, -0.1
Above 2.9: 3, 5.2
Below -0.5: -5.1, -2.5, -5.8
Between -0.5 and 2.9: 2.3, 2.5, -0.1
Above -2.9: 3, 5.2
Help ASAP no links please
Answer:
f(x) = -4x + 21
Step-by-step explanation:
Given:
(4, 5) and (2, 13)
Required:
Linear function of that passes through the given points
Solution:
We need to determine the slope (m) and y-intercept (b) of the function.
✔️Finding the slope using the points given:
Slope (m) = change in y/change in x
= (13 - 5)/(2 - 4)
= 8/-2
m = -4
✔️To find y-intercept (b), substitute (x, f(x)) = (4, 5) and m = -4 into f(x) = mx + b
5 = -4(4) + b
5 = -16 + b
5 + 16 = b
b = 21
✔️To write the function, substitute m = -4 and b = 21 into f(x) = mx + b
f(x) = -4x + 21
NO FILES!!
Find the following amount.
What is 75% of 4?
75% of 4 is
Answer:
75% of 4 is 3
Step-by-step explanation:
Hope this helps you :)
Answer:
75% of 4 is 3.
Step-by-step explanation:
75% [tex]=\frac{75}{100}[/tex]
[tex]\frac{75}{100} *4=\frac{300}{100}[/tex]
[tex]\frac{300}{100}=3[/tex]
Hope this helps; have a great day!
Suppose you buy a $10,000 bond at face value. The bond pays $450 annual interest. What is the yield on this bond? (Calculate to one decimal place)
HELP ASAP
Answer:
Yield on this bond = 4.5%
Step-by-step explanation:
Given:
Face value of bond = $10,000
Annual interest receives from bond = $450
Find:
Yield on this bond
Computation:
Yield on bond = [Annual interest / Face value]100
Yield on this bond = [Annual interest receives from bond / Face value of bond]100
Yield on this bond = [450 / 10,000]100
Yield on this bond = [0.045]100
Yield on this bond = 4.5%
Please could somebody help me on this one
Answer:
49π
Step-by-step explanation:
Are of the circle equal π[tex]r^{2}[/tex] (where π is pi and "r" is the radius). Radius equals the diameter divided by 2. Therefore the area of this circle equals...
[tex](14 / 2)^{2}[/tex]π = [tex]7^{2}[/tex]π = 49π
is this right??? if not helpp
6. Simone was timing John, Johnny and
James to see who could hold their breath
the longest. John held his breath for 10
seconds, Johnny held his breath for 15
seconds and James for 25 seconds. For how
much longer than John and Johnny did
James hold his breath?
Answer:
hgyjhudhehd
Step-by-step explanation:
Amelia went shopping for a new camera because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The discount on new camera bought by Amelia = 30%.
To find the number that Amelia should multiply to pay,
Let The required number be x,
and total price of the camera is 100%
So after discount the price of camera = 100 - 30 = 70%
Implies that,
100 × x = 70
x = 70 / 100
x = 7 / 10
So the required number is 7/10 that Amelia should multiply the price she would have to pay.
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Which is a rational function?
Answer:
C is a rational function
XYZ Inc. has a cost of common stock of 14%, a cost of preferred stock of 10%
percent, an after-tax cost of debt of 4%, and a tax rate of 21%. Given this, which one of the following will reduce the firm's WACC, given that its PE ratio is equal to 24?
A. Decreasing XYZ's beta
B. Repurchasing shares of common stock
C. Increasing the debt-equity ratio
You need a 70% alcohol solution. On hand, you have a 40 mL of a 35% alcohol mixture. You also have 75% alcohol mixture. How much of the 75% mixture will you need to add to obtain the desired solution?
Answer:
250 ml of the 75% mixture are needed to obtain the desired solution.
Step-by-step explanation:
Since I need a 70% alcohol solution, and on hand, I have a 40 mL of a 35% alcohol mixture, and I also have 75% alcohol mixture, to determine how much of the 75% mixture will you need to add to obtain the desired solution, the following calculation must be performed:
100 x 0.75 + 0 x 0.35 = 75
90 x 0.75 + 10 x 0.35 = 71
89 x 0.75 + 11 x 0.35 = 70.6
87.5 x 0.75 + 12.5 x 0.35 = 70
12.5 = 40
87.5 = X
87.5 x 40 / 12.5 = X
3,500 / 12.5 = X
280 = X
Therefore, 250 ml of the 75% mixture are needed to obtain the desired solution.
In 2001, gas cost $1.85 per gallon. In 2008, the price was
220% higher than in 2001.
What was the cost of gas per gallon in 2008?
Construye una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros. Represéntala. ¿Se pueden unir los puntos?
Answer:
1.2X = $
Step-by-step explanation:
Para construir una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros, se debe realizar el siguiente razonamiento lógico matemático:
1.2(variable fija) x X (número de billetes vendidos) = $ (Dinero recaudado)
1.2X = $
Por lo tanto, si por ejemplo se hubiesen vendido 100 billetes, la ecuación operaría de la siguiente manera:
1.2 x 100 = $
120 = $
Find a slope of a line which goes through the points (1, -4) and (7, -4).
Answer:
0
Step-by-step explanation:
-4 - (-4) = 0
divided by
1 - 7 = -6
-0/6 so 0
The coordinates of D are
Answer:
The coordinates of D are -1,0
Step-by-step explanation:
I believe
The management of a major diary wanted to determine the average ounces of milk consumed per resident in the state of Texas. Past data indicated that the standard deviation in milk consumption per capita across the U.S. population was 4 ounces. A 95% confidence level is required and the margin of error is not to exceed /- 0.5 ounces. Management wanted to double the level of precision and increase the level of confidence to 99%.
Required:
What sample size would you recommend?
Answer:
The recommended sample size is 1,698
Step-by-step explanation:
The given standard deviation in milk consumption per capita across the U.S., σ = 4 ounces
The required confidence level = 95%
The margin of error, e = ± 0.5
When the precision is doubled, we have the new margin of error = ±0.5/2 = ±0.25
The standard score at 99% confidence level, z = 2.576
The sample size formula is given as follows;
[tex]S = \dfrac{Z^2 \times P \times Q}{E^2}[/tex]
Where;
P × Q = The variance = σ²
∴ P × Q = 4² = 16
The sample size becomes;
S = 2.576² × 16/(0.25²) = 1,698.758656
We round down to get the recommended sample size, S = 1,698
1.
What is the solution?
y
3
-3-2-1
2 3x
O (1,2)
O (1,-1)
O 1
02
9514 1404 393
Answer:
(d) Infinitely Many Solutions
Step-by-step explanation:
Each point of intersection between the lines is a solution. When the lines lie on top of each other, there are infinitely many points of intersection, hence ...
Infinitely Many Solutions
Simple questions!!
I dont need a link!
The first questions are the same as the secong so I need help
Answer:
First Circle
Radius = 6
Diameter = 12
Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 6 = 37.68
2nd Circle
Radius = 3
Diameter = 6
Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 3 = 18.84
Hope This Helps!
Ana opened a bank account with $1000 that earns interest, compounded continuously, at an annual rate of r=0.02 . Money can be withdrawn from the account at regular intervals, and no additions to the account can be made. The function P models the balance of the account, in dollars, at time t. Assume that Ana withdraws money from the account continuously at a rate of N dollars per year.
Required:
Write down the differential equations that best describes the relationship between P and t?
Answer:
dp/dt = 0.02P-N
Step-by-step explanation:
[tex]\frac{p(t+t)}{nt}[/tex]
The differential equation that describes the relationship between P and t is:
dP/dt = rP - N
where P is the balance in dollars, t is time in years, r is the annual interest rate, and N is the rate of withdrawals in dollars per year.
What is a differential equation ?A differential equation is an equation that relates an unknown function to its derivatives (or differentials) with respect to one or more independent variables. In other words, it is an equation that involves derivatives of an unknown function.
The rate of change of the balance P in the bank account is equal to the difference between the rate of interest earned on the account and the rate at which money is withdrawn from the account.
The rate of interest earned on the account is given by the continuous compounding formula:
dP/dt = rP
where r is the annual interest rate, P is the balance in dollars, and dP/dt is the rate of change of P with respect to time.
On the other hand, the rate at which money is withdrawn from the account is given by the expression:
dN/dt = N/T
where N is the rate of withdrawals in dollars per year, and T is the time interval in years between withdrawals.
If we assume that Ana withdraws money from the account continuously at a rate of N dollars per year, we can write:
N = dN/dt
Substituting this into the first equation, we get:
dP/dt = rP - dN/dt
Substituting the expression for dN/dt, we get:
dP/dt = rP - N/T
Simplifying, we get:
dP/dt = rP - N
which is the differential equation that describes the relationship between P and t.
The differential equation
dP/dt = rP - N
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How do you solve this
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
The measure of the inscribed angle is half the measure of the intercepted arc.
9x -25 = 94/2
9x = 72 . . . . . . . add 25
x = 8 . . . . . . . . . divide by 9
What is 729 in a exponent
Pls help quickly
Answer:
27×27=729
729^6..........
see image for question
Answer:
the correct option is " A= 5t+100 ".