This question is incomplete
Complete Question
A right rectangular prism with dimensions 1 5/8 inches by 1 1/2 inches by 1 3/8 inches is made up of small cubes with side lengths of 1/8 inch. How many 1/8 inch cubes make up the right rectangular prism?
a) 429
b) 858
c) 1287
d) 1716
Answer:
d) 1716 cubes
Step-by-step explanation:
Step 1
Find the volume of the rectangular the rectangular prism
Volume = Length × Width × Height
Length = 1 5/8 inches
Width = 1 1/2 inches
Height = 1 3/8 inches
Hence, Volume = 1 5/8 inches × 1 1/2 inches × 1 3/8 inches
= 13/8 inches × 3/2 inches × 11/8 inches
= 429/128 cubic inches
Step 2
We find the volume of 1 cube
Volume = (side length)³
= (1/8 Inches)³
= 1/8 × 1/8 × 1/8
=1/512 cubic inches
From the above question
The number of 1/8 inch cubes make up the right rectangular prism is calculated as:
= Volume of right rectangular prism ÷ Volume of 1 cube
(429/128)cubic inches ÷ (1/512) cubic inches
= 429/128 × 512/1
= 429 × 4
= 1716 cubes
Therefore, the number of cubes in the rectangular prism is 1716 cubes.
Simplify: 7x + 5y - 6x - y
A. x + 5
B. x + 4y
C. 13x + 5
D. 13x + 6y
Answer:
x+4y
Step-by-step explanation:
What is the measure of 4? Please and thank you :)
Answer:
[tex]\angle 2 = 48[/tex]
Step-by-step explanation:
Given
[tex]\angle 1 = 48[/tex]
Required
Find [tex]\angle 2[/tex]
[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertically opposite angles.
So:
[tex]\angle 2 = \angle 1[/tex]
Substitute [tex]\angle 1 = 48[/tex]
[tex]\angle 2 = 48[/tex]
Plz help me well mark brainliest if correct................?
Answer:
B. 8cm*12cm
Step-by-step explanation:
Area is the product of the two sides:
6*16 = 96
8*12 = 96
10*10 = 100
Perimeter is the sum of all four sides:
6+16+6+16 = 44
8+12+8+12 = 40
The answer is B. 8cm*12cm
A sample of 64 observations has been selected to test whether the population mean is smaller than 15. The sample showed an average of 14.5 and a standard deviation of 4.7. You want to test this hypothesis at 95% level of confidence using the critical value approach. First, compute the critical value and the test statistics associated with this test. Second, compute the difference between the test statistic and the critical value (test statistic - critical value). What is this difference
Answer:
Test statistic = - 0.851063
- 2.520463
Step-by-step explanation:
H0 : μ ≥ 15
H1 : μ < 15
Sample mean, xbar = 14.5
Sample standard deviation, s = 4.7
Sample size = 64
Teat statistic :
(xbar - μ) ÷ (s/√(n))
(14.5 - 15) ÷ (4.7/√(64))
= - 0.851063
The critical value at α = 0.05
Using the T - distribution :
Degree of freedom, df = 64 - 1 = 63
Tcritical(0.05, 63) = 1.6694
Test statistic - critical value
-0.851063 - 1.6694
= - 2.520463
What is the area of the shape.
Is 3.37 less than 3.368
Answer:
no
Step-by-step explanation:
Answer:
it's not
Step-by-step explanation:
What is the critical value t* which satisfies the condition that the t distribution with 14 degrees of freedom has probability 0.35 to the right of t*
Answer:
[tex]t_{0.35,14}= 0.3933306[/tex]
Step-by-step explanation:
From the question we are told that:
Degree of freedom [tex]df=14[/tex]
Significance Level [tex]\alpha=0.35[/tex]
Generally the expression for critical value t is mathematically given by
[tex]t_{\alpha,df}[/tex]
[tex]t_{0.35,14}[/tex]
Therefore From Students T Value Table
[tex]t_{0.35,14}= 0.3933306[/tex]
[tex]T-Value (right-tailed): 0.3933306[/tex]
find the probability that leap year, selected at random, will contain 53 Sundays.
Answer:
the answer is Hence, a leap year has 52 Sundays
Step-by-step explanation:
I hope this helps
plz help it is kind of easy i will give alot of points to anyone that knows the answers
B. 26 years
i think..
You have just gotten your first job. You have decided you want to take your parents out for dinner to celebrate and you have anticipated it will cost approximately $120 for the three of you to go out for dinner. At your job, you make an hourly wage of $11. How many hours would you need to work to pay for the dinner? What if you wanted to add a 15% tip? Could your strategy also allow you to find out how much money you made for any number of hours?
Answer:
I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.
If I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.
In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.
Step-by-step explanation:
Since I have just gotten my first job, and I have decided I want to take my parents out for dinner to celebrate and I have anticipated it will cost approximately $ 120 for the three of us to go out for dinner, and at my job, I make an hourly wage of $ 11, to determine how many hours would I need to work to pay for the dinner, and what if I wanted to add a 15% tip, and determine if my strategy could also allow me to find out how much money and or made for any number of hours, the following calculations must be performed:
120/11 = X
10.9 = X
11 x 11 = 121
Therefore, I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.
(120 x 1.15) / 11 = X
138/11 = X
12.54 = X
11 x 13 = 143
Therefore, if I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.
In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.
x plus 1 > 3
The souliton is
Answer:
x > 2
Step-by-step explanation:
x + 1 > 3
Subtract 1 from both sides
x + 1 - 1 > 3 - 1
x > 2
please find the value of X for number 4 5 and 6 thank you :)
Answer:
4. x = 6
5. x = 31
6. x = 34
Step-by-step explanation:
4. vertical angles
- 36/6 = 6
5. supplementary angles
180 - 56 = 124
124/4 = 31
6. complementary angle
90 - 22 = 68
68/2 = 34
Answer:
4. x = 6°
5. x = 31°
6. x = 34°
Step-by-step explanation:
4. Vertical Angles theorem states that the two opposite angles formed by 2 intersecting lines are congruent.
6x = 36°
x = 36 / 6
x = 6°
5.
180° - 56° = 4x
124° = 4x
x = 31°
6.
90° - 22° = 2x
68° = 2x
x = 34°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
In parallelogram ABCDwith diagonals AC and BD, which of the following is true?
Answer:
Last one at the bottom
Step-by-step explanation:
Because all of those diagonals are equal to each other. So that would mean those diagonals are equal in legnth.
BD is perpendicular to AC Because; all of those diagonals are equal to each other that would mean those diagonals are equal in length.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Remember that the parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.
The diagonals of the parallelogram are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).
BD is perpendicular to AC Because; all of those diagonals are equal to each other that would mean those diagonals are equal in length.
LEarn more about the parallelogram here;
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For each function, state whether it is linear, quadratic, or exponential.
Answer:
Function 1: exponential
Function 2: exponential
Function 3: quadratic
Step-by-step explanation:
I used a graphing calculator.
Hope this helps:)
What is the radius of the circle given by the equation below? x2 + 14x + y2 - 14y = -73
Answer:
5
Step-by-step explanation: 5/13 8 48
graph the function, center the center of the circle find the difference between the center and the circle
center at (-7, 7)
sorry I don't know how to find it mathematically. I'll try to figure out later, if you need an mathematically solution.
If f(x)= 1/x+2 and a>3, which of the following could be f(a)
A =1/2
B = 1/3
C = 1/4
D = 1/6
The equivalent value of the function is f ( a ) = ( 1/6 ) , when a > 3
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1 / ( x + 2 )
Now , the value of x > 3
So , the value of f ( x ) = f ( a )
And , when x > 3
f ( 4 ) = 1 / ( 4 + 2 )
f ( 4 ) = 1 / 6
Hence , the function is f ( 4 ) = 1 / 6
To learn more about function rule click :
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PLSSS ASAP HELP!! Find the area of the parallelogram shown below. The formula to find area of a parallelogram is base x height.
Given:
A parallelogram with base c, height h and other side a.
[tex]a=55.83[/tex] yds
[tex]c=100[/tex] yds
[tex]h=52[/tex] yds
To find:
The area of the parallelogram.
Solution:
The area of a parallelogram is:
[tex]A=base\times height[/tex]
In the given parallelogram, the base is [tex]c=100[/tex] yds and the height is [tex]h=52[/tex] yds. So, the area of the parallelogram is:
[tex]A=100\times 52[/tex]
[tex]A=5200[/tex]
Therefore, the area of the parallelogram is 5200 square yds . hence the correct option is A.
a circle has a radius of 9 inches. In inches, what is the length of the arc intercepted by central angle of 3.25 radians
Answer:
[tex]\boxed {\boxed {\sf 29.25 \ inches}}[/tex]
Step-by-step explanation:
Since we are given the central angle in radians, we should use the following formula for the arc length.
[tex]s= \theta r[/tex]
Where s is the arc length, θ is the angle in radians, and r is the radius.
We know this circle has a radius of 9 inches and the central angle is 3.25 radians.
θ= 3.25 r= 9 inSubstitute the values into the formula
[tex]s= (3.25)( 9 \ in)[/tex]
Multiply.
[tex]s= 29.25 \ in[/tex]
The arc length is 29.25 inches.
A pack of 4 chocolate bars costs £1.20
What is the price per unit?
what is it?
Answer:
0.30 you divided the total by the number of units which is 4
Answer:
£ 0.3
Step-by-step explanation:
Given that , a pack of 4 chocolates costs £1.20. We need to find cost of one chocolate .
We can simply use Unitary Method here ,as ,=> 4 chocolates costs £1.20 .
=> 1 chocolate will cost £1.20/4 = £ 0.3
Hence the cost of unit is £ 0.3A velocity vector has a magnitude of 137 miles per hour and a direction angle of 235º.
What is the y-component of the vector?
9514 1404 393
Answer:
CW from north: -78.58 mphCCW from +x: -112.2 mphStep-by-step explanation:
A couple of different references are used when talking about angles in the x-y coordinate plane. Conventionally, angles are measured CCW from the +x axis of the plane. This is the reference usually used in physics problems involving acceleration, velocity, and displacement.
If the angles refer to bearings on a map, the usual mapping is north = +y, east = +x, and angles are measured CW from north. This is the reference usually used in (flat earth) navigation problems involving airspeed and ground speed.
We cannot tell the intended meaning of "direction angle" here, hence there are two answers. Take your choice.
__
If the angle is measured counterclockwise from the +x direction, the (x, y) coordinates of the vector (137; 235°) are ...
(x, y) = 137(cos(235°), sin(235°))
(x, y) = (-78.58, -112.22)
The y-component is -112.22 miles per hour.
__
If the "direction angle" is a bearing measured clockwise from the +y direction, then the x- and y-coordinates are swapped from those listed above.
(x, y) = (-112.22, -78.58)
The y-component is -78.58 miles per hour.
_____
Additional comment
We say this is "flat earth" navigation because any serious navigation calculation must take into account the Earth's curvature. A path that follows a great circle will not have a constant compass bearing except along the equator or a longitude line.
How do I answer this?
Answer:
volume = 153.45 ft³
Step-by-step explanation:
area of base = 1/2 x base x height = 1/2 x 9 x 3.1 = 13.95 ft²
volume = base area x height= (13.95)(11) = 153.45 ft³
A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. A sample of 12 households with children revealed the following amounts. 7,077 5,744 6,753 7,381 7,625 6,636 7,164 7,348 8,060 5,848 9,275 7,052 Click here for the Excel Data File State the null hypothesis and the alternate hypothesis. State the decision rule for 0.05 significance level. (Round your answer to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) Is it reasonable to conclude that these households paid more interest than the survey result
Answer:
The null hypothesis is [tex]H_0: \mu = 6658[/tex]
Tha alternate hypothesis is [tex]H_a: \mu > 6658[/tex]
The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is evidence to conclude that these households paid more interest than the survey result.
The test statistic is [tex]t = 1.94[/tex]
As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result
Step-by-step explanation:
A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. Test if it is reasonable to conclude that these households paid more interest than the survey result.
At the null hypothesis, we test if they paid the same, that is:
[tex]H_0: \mu = 6658[/tex]
At the alternate hypothesis, we test if they paid more, that is:
[tex]H_a: \mu > 6658[/tex]
Test statistic:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
State the decision rule for 0.05 significance level.
Right-tailed test(test if the mean is higher than the value) with 12 - 1 = 11 degrees of freedom, has a critical value of t = 1.976.
So
The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no reasonable evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is reasonable evidence to conclude that these households paid more interest than the survey result.
6658 is tested at the null hypothesis:
This means that [tex]\mu = 6658[/tex]
Sample mean and standard deviation:
With the given data-set:
Mean of [tex]X = 7163.6[/tex]
Standard deviation of [tex]s = 902.25[/tex]
Sample of 12:
This means that [tex]n = 12[/tex]
Compute the value of the test statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{7163.6 - 6658}{\frac{902.25}{\sqrt{12}}}[/tex]
[tex]t = 1.94[/tex]
As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result
Use the following rectangle to solve for the values of X.
Answer:
[tex]x = 8.64^o[/tex]
Step-by-step explanation:
Given
The attached rectangle
Required
Find x
To do this, we make use of:
[tex]11x - 5 = 90[/tex] ---- angle at diagonal
Collect like terms
[tex]11x = 5 + 90[/tex]
[tex]11x = 95[/tex]
Solve for x
[tex]x = \frac{95}{11}[/tex]
[tex]x = 8.64^o[/tex] --- approximated
HELP ME OUT
Ali bought 2 pounds of ground turkey at $2.50 per pound and 3 pounds of ground beef at $3.20 per pound What was her total cost?
Enter your answer in the box.
$
Answer:
$14.60
Step-by-step explanation:
you do 2×2.50= 5
3×3.20= 9.6
help fast please!!!!!!
Answer:
75
Step-by-step explanation:
7.5 x 5 = 37.5
1/2:1
37.5:74
Also, I did it :D
What is mEG?
mEG = ___°
Is (x + 2) a factor of x + 6x2 + 3x – 10?
Answer:
no
Step-by-step explanation:
6x² + 4x - 10 in factored form is:
2(3x+5)(x-1)
Answer:
Assuming that you actually mean that if [tex](x+2)[/tex] is a factor of [tex]x^{3}+6x^{2}+3x-10[/tex], the answer is yes.
Step-by-step explanation:
We need to do long division of the polynomial to figure out if this is true. I would show it here, but it is extremely difficult to do so. (Maybe someone could help me.) When I factor it, it does not leave a remainder, so this is true.
[tex]x^{3}+6x^{2}+3x-10= (x+2)(x^2+4x-5)[/tex]
Another way one could figure this out is by graphing the equation [tex]x^{3}+6x^{2}+3x-10[/tex] on your graphing calculator or on just a graphing website, lake Desmos. The screenshot below shows the graph.
The polynomial will have a factor of [tex](x-c)[/tex] if the point [tex](0,c)[/tex] exists on the graph. The graph has the following three zeroes.
[tex](0,-2)[/tex], [tex](0, -5)[/tex], and [tex](0,1)[/tex]
As such, it has the three factors [tex](x-(-2))[/tex], [tex](x-(-5))[/tex], and [tex](x-1)[/tex].
Since [tex](x-(-2)=(x+2)[/tex], it is a factor of the polynomial.
The difference of x and y is the same as 3 times the sum of x and 2
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
Answer:
spoke out of term and with no true option.
If you multiply 2/3 * 6/10, would the product be more than 6/10 or less than 6/10?
I WILL MARK YOU BRAINLIEST
Answer:
Less than.
Step-by-step explanation:
I have included the explanation in bullet points so it is easier to understand.
We don't even need to solve the problem in order to find out.
We know that any number times one is itselfWe know that any number times less than one would be less than itself.In order to get a product more than 6/10 we would need to multiply it by something more than 1.2/3 is not more than one, which means the product would be less than 6/10Hope this helps!
--Appleπ101
A 4 pint carton of chocolate milk is $2.12.What is the price per quart?
Answer: 0.35
Step-by-step explanation: