ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches? A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches. Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height. Inches cubed
Answer:
[tex]64(in)^{3} [/tex]
Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.
[tex](lenght) \times (width) \times (height)[/tex]
Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.
[tex]8 \times 2 \times 4[/tex]
Multiply 8 by 2.
[tex]16 \times 4[/tex]
Multiply 16 by 4.
[tex]64 {in}^{3} [/tex]
Hence, the volume of the rectangle prism is 64(in)³.
Answer:
64 in³Step-by-step explanation:
Given dimensions:
l = 8 inw = 2 inh = 4 inVolume of the prism is:
V = lwhV = 8*2*4 = 64 in³The double box plot shows the cost of the top-selling lunch menu items at two local restaurants. Determine which inference is true about the two populations.
Answer:
The spread of the data for The Red Brick Grill is greater than that for Sophie's Cafe.
Step-by-step explanation:
In the picture
Can someone pls help me
Answer:
I rhink the answer would be 273°
Step-by-step explanation:
57+180=237°
Answer:
∠ BAC = 28.5°
Step-by-step explanation:
∠ AOB = 180° - 57° = 123° ( straight angle )
OA and OB are congruent ( radii of the circle ) , then Δ AOB is isosceles with base angles congruent, that is
∠ BAC = ∠ ABO , then
∠ BAC = [tex]\frac{180-123}{2}[/tex] = [tex]\frac{57}{2}[/tex] = 28.5°
show work , I’ll vote you brainliest if it is correct . Thank you
Answer:
Whats the question to this problem? Do you want to know if it's correct?
i can help! Just show your work? 1/2 times whatever X is + X+1 over whatever X is = 1/2 i can get the answer if you need it unless what i said helped! :) Your welcome!
Step-by-step explanation:
Have a great week! Hope i helped! Plz dont delete answer i promise i will help and it will be correct!
NEED HELP WITH THIS QUESTION
What are the outliers???
Find the conjugate and product of
i2 + 9
Answer:
i2 - 9
-85
Step-by-step explanation:
Conjugate of an expression is gotten by simply changing the sign to the opposite sign. For example, the conjugate of 5 is -5, the conjugate of x+2 is x-2. Given the complex value 2i+9, the conjugate will be -85
Taking their product
(2i+9)(2i-9)
Expand
2i(2i)-9(2i)+9(2i)+9(-9)
= 4i²-18-+18i-81
= 4i² - 81
Since i² = -1
= 4(-1) - 81
= -4-81
= -85
Hence the product will give -85
Write the missing fractions.
1/3 + ? = 1
3/5 + ? = 1
Step-by-step explanation:
• Question 1 :-
[tex]\tt\to \dfrac{1}{3}+? = 1 \\\\\tt\to ? = 1-\dfrac{1}{3}\\\\\tt\to ?=\dfrac{3-1}{3} \\\\\tt\to \boxed{\orange{ ? = \dfrac{2}{3}}}[/tex]
_________________________________
• Question 2 :-
[tex]\tt\to \dfrac{3}{5}+? = 1 \\\\\tt\to ? = 1-\dfrac{3}{5}\\\\\tt\to ?=\dfrac{5-3}{5} \\\\\tt\to \boxed{\orange{ ? = \dfrac{2}{5}}}[/tex]
In a large company, the proportion of employees who were promoted during the last year was 0.10. If 100
employees were chosen from this company randomly, what is the probability that at least 15 of them were
promoted during the last year?
O 0.5
O 0.4525
O 0.0475
O 0.9525
Answer:
0.0475
Step-by-step explanation:
We use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In a large company, the proportion of employees who were promoted during the last year was 0.10.
This means that [tex]p = 0.1[/tex]
100 employees
This means that [tex]n = 100[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 100*0.1 = 10[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3[/tex]
What is the probability that at least 15 of them were promoted during the last year?
This is [tex]P(X \geq 15)[/tex], which is 1 subtracted by the pvalue of Z when X = 15. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15 - 10}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a pvalue of 0.9525
1 - 0.9525 = 0.0475.
0.0475 is the answer.
Please help, brainliest for correct answer
Answer:
m<2=60
Step-by-step explanation:
52+68=120+60=180
Express f(x) in the form f(x) = (x - k)q(x) +r for the given value of k.
f(x) = 4x^3+ x² + x-8, k= -1
Answer:
f(x) = (x + 1)*(4*x² - 3*x + 4) - 12
Step-by-step explanation:
We have:
f(x) = 4*x³ + x² + x - 8
We want to write this in:
f(x) = (x - k)*q(x) + r.
with k = -1
Then we want to write:
4*x³ + x² + x - 8 = (x - (-1))*q(x) + r
4*x³ + x² + x - 8 = (x + 1)*q(x) + r
Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.
then:
q(x) = a*x² + b*x + c
Then:
4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r
4*x³ + x² + x - 8 = a*x³ + b*x² + c*x + a*x² + b*x + c + r
if we take common factors in the right side we get:
4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)
Now, we must have:
4*x³ = a*x³
then:
4 = a
We also must have:
x² = (b + a)*x²
1 = (b + 4)
1 - 4 = b
-3 = b
We also must have:
x = (c + b)*x
1 = (c + (-3))
1 + 3 = c
4 = c
And finally:
- 8 = (c + r)
-8 = 4 + r
-8 - 4 = r
-12 = r
Then:
f(x) = (x + 1)*(4*x² - 3*x + 4) - 12
Create an inequality, 5 less than a number is less than -2
Answer:
x - 5 < -2
Answer is there
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.
function g is a transformation of function f using a horizontal shift 3 units left and vertical compression by a factor of 1/2 . plot the corresponding point on function g.
9514 1404 393
Answer:
g(x) = x + 1
Step-by-step explanation:
The transformation "shift left 3 units" is accomplished by replacing x in the function definition by x+3.
F(x) is defined as ...
f(x) = 2x -4
Then the left shift gives ...
f(x +3) = 2(x +3) -4 = 2x +2
__
The transformation "vertical compression by a factor of 1/2" is accomplished by multiplying the function by 1/2.
g(x) = 1/2f(x +3) = (1/2)(2x +2)
g(x) = x +1
__
In the attached, we wanted to show where the table points would end up if they were shifted left 3, then moved half their vertical distance toward the x-axis (compression by 1/2). Doing that, the points in the first table become the points in the second table. This is different from what you get when you simply substitute the same values of x into the new function g.
Consider, for instance, the bottom left point on the red graph. When it is moved 3 left, its coordinates are (-3, -4). When the y-coordinate is cut in half, its new location is (-3, -2), the bottom left point on the blue graph.
A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec. A) Write a quadratic function h(t) that shows the height, in feet, of the rocket t seconds after it was launched. B) Graph h (t) on the coordinate plane. C) Use your graph from Part 3 (b) to determine the rocket's maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air. ( Answer options A,B,C) Please don't answer if you don't know how to) Will Mark Brainliest.
The calculated quadratic function for the height of the rocket is "[tex]h = 64t - 16.085t^2[/tex]" and the further calculation of the given points can be defined as follows:
For point A):
Calculation of the quadratic function:Rocket Initial velocity (u) [tex]= 64 \ \frac{feet}{sec}[/tex]
Considering gravity's acceleration of 32.17 feet/sec2
The rocket's height can be expressed as follows:
[tex]h = ut - \frac{1}{2} \times 32.17 \times t^2 \\\\h = 64 - 16.085 \times t^2 \\\\h = 64t - 16.085t^2[/tex]
For point B):
A y-axis indicates its rocket's height in feet, whereas the x-axis represents the duration in seconds.
Please find the attached file.
For point C):
As seen in the graph, after t = 1.989 seconds, the rocket reaches its highest height of 63.662 feet.maximum height = 63.66 feet, time t = 2 seconds. After 3.979 seconds, the rocket's height returned to zero.It would be in the air for 3.979 seconds. The rocket lingered in the air for 4 seconds.
Find out more information about the velocity here:
brainly.com/question/25749514
Complete the point-slope equation of the line through (-9,6) and (−7,−8)
y−6=
Answer:
its 9 :)
Step-by-step explanation:
hkjgh
If the domain of f(n) = -4n - 3 is (-1, 1/4, 4), what is the range?
{-1, 2, -19)
{-7.-4.-13)
{1, -4, -19)
SOMEONE HELP ME PLS ASAP I WILL GIVE BRAINLIEST PROVE ABCD IS A PARALLELOGRAM
Answer:
It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"
Step-by-step explanation:
please help with this problem
Answer:
choice 1) 0, -4/5
Step-by-step explanation:
1/(t² + t) = 1/t - 5
multiply both sides of the equation by (t² + t):
1 = (t² + t)/t - 5t² - 5t
1 = t + 1 - 5t² -5t
-5t² - 4t = 0
t(-5t - 4) = 0
t = 0
-5t = 4
divide both sides by -5:
t = -4/5
What is the quotient of -3/8 and -1/3
Answer:
(-3/8)/(-1/3)
=(-3/8) x (-3)
=9/8
=11/8
Step-by-step explanation:
Why is 6P4 = 360 but 6C4 = 15?
Short answer (I write nPr = P(n, r) and nCr = C(n, r) ):
P (6, 4) = 6! / (6 - 4)! = 6! / 2! = 720 / 2 = 360
C (6, 4) = P (6, 4) / 4! = 6! / (4! (6 - 4)!) = 360 / 24 = 15
Long answer:
P(n, r) counts the number of permutations of n objects taken r at a time, given by
P(n, r) = n ! / (n - r )!
A permutation is a unique arrangement of objects such that the order in which they are arranged is taken into account. For example, if the objects in question are the numbers in the set {1, 2, 3}, then
• there are 3! = 6 total possible permutations if we take all 3 numbers at once:
123, 132, 213, 231, 312, 321
• there are 3!/(3-2)! = 3!/1! = 6 total permutations if we only take 2 numbers at once:
12, 13, 21, 23, 31, 32
• there are 3!/(3-1)! = 3!/2! = 3 total permutations if we take only 1 number at a time:
1, 2, 3
• and there is 3!/(3-0)! = 3!/3! = 1 way of permuting the 3 numbers without taking any of them:
(the permutation itself is just empty space)
By contrast, C(n, r) counts the combinations of n items taken r at a time, given by
C(n, r) = P(n, r) / r !
A combination is like a permutation, but the order of the objects doesn't matter. Continuing with the previous example of arrangements of the numbers from {1, 2, 3}, we have
• 3! / (3! (3-3)!) = 1 combination taking all 3 numbers at once:
123
(the other 5 permutations listed earlier are made up of the same numbers, so we consider them duplicates)
• 3! / (2! (3-2)!) = 3 combinations taking only 2 numbers at once:
12, 13, 23
• 3! / (1! (3-1)!) = 3 combinations taking only 1 number:
1, 2, 3
• 3! / (0! (3-0)!) = 1 combination taking none of them:
(again, empty space)
The main point is that the order of objects is considered across permutations, while it's ignored across combinations.
how to get the answer.
how to get the 1.2762815625?
I know it says to multiple, but how to multiple to get that number?
thanks
9514 1404 393
Answer:
1.05 × 1.05 × 1.05 × 1.05 × 1.05 = 1.2762815625
Step-by-step explanation:
An exponent indicates how many times the base is a factor in the product. That is, 1.05 to the 5th power means ...
1.05⁵ = 1.05 × 1.05 × 1.05 × 1.05 × 1.05
This multiplication expression is evaluated in the usual way.
= 1.1025 × 1.05 × 1.05 × 1.05
= 1.157625 × 1.05 × 1.05
= 1.21550625 × 1.05
= 1.2762815625
__
All scientific and graphing calculators have a button for computing the power of a number. On my calculator its label is [tex]\displaystyle \boxed{y^x}[/tex]. The particulars of the function of this button can be found in the manual for your calculator.
For on-line calculators, such as the go.ogle calculator, or the Desmos graphing calculator, the caret (^) is used to signify an exponent. (See the input line in the first attachment for an example.)
find the area of the shade sector of the circle
Step-by-step explanation:
We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.
[tex]\tt\to Area = \dfrac{\Theta}{360^o}\times \pi r^2 \\\\\tt\to Area = \dfrac{60^o}{360^o}\times \pi (8cm)^2 \\\\\tt\to Area =\dfrac{\pi \times 64}{6}cm^2\\\\\to\boxed{\orange{\tt Area_{(Shaded)}= 10.66\pi cm^2}}[/tex]
What is the slope of the line?
Answer:
1
Step-by-step explanation:
Question 11. What is the product of 1.6 x 10- and 3.2 x 10' A. 5.12 x 10-4 B. 5.12 x 10 C.5.12 x 10 D. 5.12 x 104 please help will mark as brallinat
Answer:
A- [tex]5.12*10^{-4}[/tex]
Step-by-step explanation:
1.6* 3.2
add the exponents so 10 to the -4
Multiply 15 by 9 then divide by 2 fraction
Answer:
15x9 is 130 but, what u mean by divided by 2 fraction?
Step-by-step explanation:
135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2
solve (x – 5)^2 = 17
Answer:
x = 5 ± √17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsMultiple RootsStep-by-step explanation:
Step 1: Define
(x - 5)² = 17
Step 2: Solve for x
[Equality Property] Square root both sides: x - 5 = ±√17[Addition Property of Equality] Add 5 on both sides: x = 5 ± √17Chuck put new wallpaper in his bathroom. The pattern of the wallpaper
used 3 triangles to make a straight angle. The measures of the angles
are (9x - 72). (73x + ) and 11) What is the measure of the
obtuse angle? 7.3.5
ext
Tota
Answer:
x = 2.93
Step-by-step explanation:
The sum of angles of the triangle is 180degrees, hence;
9x - 72 + 73x + 11 = 180
82x - 61 = 180
82x = 180 + 61
82x = 241
Divide both sides by 82
82x/82 = 241/82
x = 2.93
Note that the functions might not be accurate but the same methos should be employed for any function given
The slope of a line is 0, and the y-intercept is 6. What is the equation written in slope intercept form.
Answer:
y=0x+6
Step-by-step explanation:
slope intercept form is: y=mx+b
A plumber charges a customer a one-time service fee of $79, $62 per hour for labor, and a surcharge of $15 per hour due to the call being an emergency.
Write an expression to represent the total charges for the plumber in two different ways. Let h represent the number of hours the job takes.
Answer:
As a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:
Option 1:
Fixed amount + amount per hour multiplied by the number of hours + emergency amount multiplied by the number of hours = X
79 + 62H + 15H = X
Option 2:
Fixed amount + sum of emergency amount and the amount per hour multiplied by the number of hours = X
79 + ((62 + 15) x H) = X