Given:
Consider the dimensions of the rectangular prism are 3.4 ft by 0.8 ft by 0.6 ft.
To find:
The volume of rectangular prism.
Solution:
The volume of a cuboid or rectangular prism is:
[tex]V=l\times b\times h[/tex]
Where, l is length, b is breadth and h is height of the prism.
The dimensions of the rectangular prism are 3.4 ft by 0.8 ft by 0.6 ft. So, the volume of the prism is:
[tex]V=3.4\times 0.8\times 0.6[/tex]
[tex]V=1.632[/tex]
Therefore, the volume of the rectangular prism is 1.632 cubic feet .
Which of the following graphs can be used to find the solution to x2 – 4x + 3 = 0?
Answer:
D
Step-by-step explanation:
it would be d because that's where the 3 is in the y axis
Answer:
A
Step-by-step explanation:
Graph A shows the parabola intersecting the x-axis at 1 and 3. Which are the solutions to the equation when you solve it by factoring, using the quadratic formula, the PQ formula, or completing the square.
What is the value of log27 165
The solution of the logarithmic function log₂₇165 found using logarithmic properties is :
(1 + log ₃55)/3.
What is a logarithmic function?
The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. The usage of logarithmic functions makes it simple to determine some of the non-integral exponent values. The common logarithmic function, which has a base of 10, is identified by the symbols log₁₀ or log.
We are asked to solve the following logarithmic function.
log₂₇165
Here the base of the log is 27.
According to logarithmic properties, we can write the above functions as:
log₂₇165 = log 165 / log 27
If we are dividing the numerator and denominator by log 3, then the new base will become 3.
(log 165 / log 3) / (log 27/log3) = log ₃165 / log₃ 27
Now we can solve as follows,
log ₃165 / log₃ 27 = log ₃(3*55) / log₃ (3³) = [log ₃(3)+log ₃(55)] / 3log₃3
= (1 + log ₃55)/3
Therefore the solution of the logarithmic function log₂₇165 is
(1 + log ₃55)/3.
To learn more about logarithmic functions, follow the link.
https://brainly.com/question/13473114
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Is this graph standard, vertex, or intercept?
Step-by-step explanation:
It's an intercept graph
In a political science class, the teacher gives a midterm exam and a final. The association between midterm and final scores is linear. The summary statistics are shown below. Midterm Mean=75, Midterm Standard Deviation=10 Final Mean=75, Final Standard Deviation=10 r=0.8 According to the regression equation, for a student who gets 85 on the midterm (one standard deviation above average) what is the predicted final exam grade?
Answer:
The predicted final exam grade is 83
Step-by-step explanation:
Given
[tex]\bar x = 75[/tex] -- midterm mean
[tex]\sigma_x = 10[/tex] --- midterm standard deviation
[tex]\mu =75[/tex] --- final mean
[tex]\sigma = 10[/tex] --- final standard deviation
[tex]r = 0.8[/tex]
Required
The predicted final grade of student who score 85 in midterm
The prediction is represented as:
[tex]y = \alpha + \beta x[/tex]
Where:
[tex]\beta = r * \frac{\sigma}{\sigma_x}[/tex]
[tex]\beta = 0.8 * \frac{10}{10}[/tex]
[tex]\beta = 0.8 * 1[/tex]
[tex]\beta = 0.8[/tex]
and
[tex]\alpha = \mu - r * \bar x[/tex]
[tex]\alpha = 75- 0.8 * 75[/tex]
[tex]\alpha = 75- 60[/tex]
[tex]\alpha = 15[/tex]
So:
[tex]y = \alpha + \beta x[/tex]
[tex]y = 15 + 0.8x[/tex]
For a student who gets 85, the prediction is:
[tex]y = 15 + 0.8*85[/tex]
[tex]y = 15 + 68[/tex]
[tex]y = 83[/tex]
Find the future value for a $100,000 investment for 12 years at a compounded continuously at 2.1%?
Answer:
128659.6037
Step-by-step explanation:
contiously compounding interest formula:
PV(e^(i*t))
100000e^(.021*12)=128659.6037
The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?
Answer:
You didn't attach an image, can't exactly help. sorry!
What steps do i have to take to get the proven
Answer:
I can't really see I wish I can help
Really struggling and stressing out. Anyone mind helping?
Answer:
it should be 314.16, so I would choose 314
Find the Value of x from the angles
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The value of [tex]x°[/tex].
[tex]\sf \bf {\boxed {\mathbb {SOLUTION :}}}[/tex]
[tex]\longrightarrow{\blue{ x°\:=\:35° }}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ [tex]x°[/tex] + 125° + 20° = 180°
➪ [tex]x°[/tex] + 145° = 180°
➪ [tex]x°[/tex] = 180° - 145°
➪ [tex]x°[/tex] = 35°
Therefore, the value of [tex]x°[/tex] is 35°.
Now, the three angles of the triangle are 35°, 125° and 20°.
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY:}}}[/tex]
✒ 35° + 125° + 20° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]
5. In the figure Find X (In the picture) (giving points to best answer/brainlest)
Answer:
x = 93
Step-by-step explanation:
*for angle labels, see picture below
Using angle addition postulate, we can say that angle EAC is the sum of angle CAB and angle BAE:
m<EAC = m<CAB + m<BAE
m<EAC = x + 39
Since line l and m are parallel, you can say that angle ACD is an alternate interior angle to angle EAC. This means they are equal.
Now, we can write an equation to solve for x:
m<EAC = m<ACD
x + 39 = 132
x = 93
Answer:
x=93°
Step-by-step explanation:
If l ıı m
l=180° ; 132°+?(y) =180° (Co-interior angle)
Find the value of y
132°+y=180°(Transpose)
y=180°-132°
y=48°
...
Find x
39°+x+48°=180°(Transpose)
x=180°-48°-39°
x=93°
X + 3( x + 2) + 2 in the simplest form
Answer:
4x+8
Step-by-step explanation:
X + 3( x + 2) + 2
Distribute
x +3x+6+2
Combine like terms
4x+8
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]4x + 8[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the expression:}}\\\\\underline{x+3(x+2)+2}\\\\\rightarrow x + 3x + 6 + 2\\\\\rightarrow 4x + 6 + 2\\\\\rightarrow \boxed{4x + 8}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A bowl has the shape of a hemisphere whose diameter is 14 centimeters. If this bowl is filled with water, how many cubic centimeters will it take to fill the bowl
Answer:
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
Step-by-step explanation:
Given;
diameter of the hemisphere, d = 14 cm
radius of the hemisphere, r = d/2 = 14/2 = 7 cm
The volume of the hemisphere is calculated as;
[tex]V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7} \times (7 \ cm)^3\\\\V = 718.67 \ cm^3[/tex]
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
Can someone help me and explain because i don’t understand.
Answer:
y=33 degree
Step-by-step explanation:
y = 33 degree (the relation between y and 33 is they are vertically opposite angles anf verticelly opposite angles are always equal)
the place value of 4 in 56437 is:
Answer:
thousands
Step-by-step explanation:
56437
tents hundreds thousands
Which graph matches the equation y+3=2(x+3)?
A (0,3) (-3,-3)
B (0,6) (-3,0)
C (0,-3) (-3,-9)
D (3,3) (0,-3)
Answer:
A (0,3) (-3,-3)
Step-by-step explanation:
A graph will match the equation if both the coordinates points replaced in the equation generate a identity.
When x = -3
[tex]y + 3 = 2(x + 3)[/tex]
[tex]y + 3 = 2(-3 + 3)[/tex]
[tex]y + 3 = 0[/tex]
[tex]y = -3[/tex]
So (-3,-3) is part of the graph.
When x = 0
[tex]y + 3 = 2(x + 3)[/tex]
[tex]y + 3 = 2(0 + 3)[/tex]
[tex]y + 3 = 6[/tex]
[tex]y = 3[/tex]
So (0,3) is part of the solution.
(-3,-3) and (0,3), so option A.
Find the inner product for (4,8) (6,-3) and state whether the vectors are perpendicular.
Answer:
[tex] = \binom{4}{8} . \binom{6}{ - 3} \\ = (4 \times 6) + (8 \times - 3) \\ 24 + ( - 24) \\ = 0 \\ since \: inner \: product \: is \: zero : \\ the \: vectors \: are \: perpendicular[/tex]
Answer:
0
The vectors are perpendicular
Step-by-step explanation:
(4,8) (6,-3)
The inner product is also known as the dot product
4*6 + 8*-3 = 24-24 = 0
The vectors are perpendicular since the dot product is zero
How many minutes is it from 11:50 to 12:18
Answer:
28 minutes
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
so it is 28 minutes
Step-by-step explanation:
If the price of ice cream changes by 30 percent and the quantity demanded changes by 75 percent, what is the absolute value of demand elasticity?
A laptop company claims up to 8.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 7.5 hours and standard deviation 27 minutes. (a) What is the probability that the battery life is at least 8.1 hours
Answer:
0.0918 = 9.18% probability that the battery life is at least 8.1 hours.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 7.5 hours
This means that [tex]\mu = 7.5[/tex]
Standard deviation 27 minutes.
An hour has 60 minutes, which means that [tex]\sigma = \frac{27}{60} = 0.45[/tex]
What is the probability that the battery life is at least 8.1 hours?
This is 1 subtracted by the p-value of Z when X = 8.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8.1 - 7.5}{0.45}[/tex]
[tex]Z = 1.33[/tex]
[tex]Z = 1.33[/tex] has a p-value of 0.9082.
1 - 0.9082 = 0.0918
0.0918 = 9.18% probability that the battery life is at least 8.1 hours.
What is 6/22 as percent?
Answer:
27%
Step-by-step explanation:
divide 6 by 22. you get .27 and then you move the decimal point to the right twice
Answer:
27%
Step-by-step explanation:
six divided by twenty two is 0.272, which is 27%
if i got a F this quarter but all passing grades last quarters yall think i would have summer school ?
Answer:
I dont know
Step-by-step explanation:
Answer:
Maybe. But look at me, I have two F's and all D's in the last quarter when I had A's a B's and one C for the 1st, 2nd, and 3rd quarter. I am going to get kicked out if I have ONE F. Yay.... :,)
Step-by-step explanation:
A rectangular piece of plywood 7.00 ft by 10.00 ft is cut from one comer to an opposite comer. What are the angles between the edges of the resulting pieces? Include
all resulting angles
The angle(s) is/are degrees
(Round to the nearest tenth as needed. Use a comma to separate answers as needed. Do not include the degree symbol in your answer. Type each answer only
once.)
Answer:
Step-by-step explanation:
let one angle=a°
second angle=(90-a)°
tan a=7/10=0.7
a=tan^{-1}(0.7)≈35.0°
other angle=90-35=55.0°
Find the exact value of the following.
Find -xy, for x = -75.9 and y = 2.6.
-xy =
Answer:
197.34
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
x = -75.9
y = 2.6
-xy
Step 2: Evaluate
Substitute in variables: -(-75.9)(2.6)Multiply: (75.9)(2.6)Multiply: 197.341=2
2=8
3=18
4=32
5=?
Question 1
If mZHOE =19° and mZHOP=48°, find mZEOP.
H
O
Р
Answer:
mEOP is 29°
Step-by-step explanation:
mHOP is 48° and mHOE is 19°, so to get the missing angle you subtract the smaller value from the total to get 29°
- 19-48=29
which fraction does not belong? 2\3. 6\9. 4\6 6\8
Answer:
6/8
hope this helps
have a good day :)
Step-by-step explanation:
ow many three-letter "words" can be made from 8 letters "FGHIJKLM" if repetition of letters
Answer:
336
Step-by-step explanation:
A total of 512 possible words can be made.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a 8 letters word "FGHIJKLM"
Assume that there are [y] possible combinations. Then, the total number of [x] digit words that can be made are -
y = 8ˣ
y = 8ˣ
y = 8 x 8 x 8
y = 512
Therefore, a total of 512 possible words can be made.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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what is the domain of the function in this table?
Answer:
there is no table appearing so unfortunately no one can answer this for you. sorry!!
Find the radius of the circle whose equation is (x - 2)2 + (y - 4)2 = 9.
Hope this help!!!
Have a great day!!!
Please can someone answer quickly