After calculating the volume of these two rectangular prisms , we have come to conclude that the total volume of two rectangular prisms is 372 in³.
What is rectangular prisms?A rectangular prism is a three-dimensional shape with six faces, all of which are rectangles (top, bottom, and lateral faces) and all pairs of opposite faces are congruent.
A rectangular prism, like all three-dimensional shapes, has volume and surface area. A cuboid is simply another name for a rectangular prism.
A rectangular prism is basically a rectangle,
so the volume = l × b × h
Volume of 1st rectangular prisms = 9 × 6 × 3
= 162 in³
Volume of 2nd rectangular prisms = 10 × 7 × 3
= 210 in³
Total volume = 162 + 210
= 372 in³
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The data represents the time in minutes spent reading a political blog in a day construct a frequency distribution focuses in the table include the midpoint related frequencies and cumulative frequencies which class has the greatest frequency in which class has the least frequency
The required midpoint of the given data is 16, and, class interval 10 - 15 has the higher frequency, and class interval 5 - 10 has a null frequency.
Here,
Arranging the time in minutes spent on reading a political blog in a day,
3 3 11 12 13 13 15 16 19 19 20 22 25 26 26
The required mid-point is 16.
Since the values vary from 3 to 26 and we have to make 5 classes,
So the number of
classes midpoint frequency cumulative
0 - 5 2.5 2 2
5 - 10 7.5 0 2
10 - 15 12.5 5 7
15 - 20 17.4 4 11
20 - 25 22.5 3 14
25 - 30 27.5 2 16
Thus, the required midpoint of the given data are shown, and, class interval 10 - 15 has the higher frequency, and class interval 5 - 10 has a null frequency.
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If f(x)=9, find f^-1(33)
Answer:
7
Step-by-step explanation:
[tex]f^{-1}(-33)=k \implies f(k)=-33 \\ \\ 9-6k=-33 \\ \\ -6k=-42 \\ \\ k=7[/tex]
Answer:
f^-1(33) = 7
Step-by-step explanation:
As the question is asking for the inverse function we do the following steps:
Change f(x) into y :
y = 9 -6x
Swap x and y :
x = 9-6y
Solve for y :
Subtract 9 from both sides :
x-9 = -6y
Divide both sides by -6 :
(x-9)÷ -6 = y
Change y back into f(x) :
f(x) = (x-9)÷ -6
Now substitute -33 into x :
((-33)-9) ÷ - 6 =
-42 ÷ -6 =
+7
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Which set of numbers includes both rational and irrational numbers? Please HELPP IVE BEEN TRYING FOR 2 HRS
Answer: Option 2 should be the answer.
Step-by-step explanation: Real numbers are divided into two groups called rational and irrational numbers. Irrational numbers cannot be expressed as fractions.
Hopefully, this question will help you.
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You order two coffees and a cookie. The cookie costs $2.40. You pay 5% sales tax
and leave a $1.75 tip. You pay a total of $11.20. How much does one coffee cost?
Answer:
~ $3.29
Step-by-step explanation:
$11.20 - $1.75 = $9.45
$9.45 - $0.48 5% = $8.97
$8.97 - $2.40 = $6.57
$6.57 ÷ 2 = $3.285 rounded to $3.29
Bailey Co earns $13249 of revenue on account and in $6167 cash revenue transactions in Year 1. Cash collections of receivables amount to $5849 in Year 1 with the remainder being collected in Year 2. Based on this information alone the company’s financial statements would show
Based on this information alone the company’s financial statements would show Cash inflows for Year 1 $13,567
What is cash inflow from sales?
The cash inflow from sales indicates the amount of cash received from customers in the current based on sales made to customers, which is the sales revenue, cash and credit added together minus the balance of credit sales left uncollected from customers at the end of the year.
Cash inflows for Year 1=credit sales+cash sales+receivables
credit sales=$13249
cash sales=$6167
receivables= $5849
Cash inflows for Year 1=$13249+$6167-$5849
Cash inflows for Year 1=$13,567
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Full question:
Bailey Co earns$13249 of revenue on account and in $6167 cash revenue transactions in Year 1. Cash collections of receivables amount to $5849 in Year 1 with the remainder being collected in Year 2. Based on this information alone the company’s financial statements would show Cash inflows for Year 1 $_
trista has 3 3/4 yards of ribbon to use for making decorative pillows. if the first pillow used 2 1/6yards of ribbon then how much risson is remaining
Answer:
1 1/2 yards
Step-by-step explanation:
Give Brainliest if I helped!
The aquarium has 10 more red fish than blue fish. 60% of the fish are red. How many blue fish are in the aquarium?
PLEASE HELP, I'LL GIVE 90 POINTS, I JUST RLLY NEED SOMEONES HELP RN
Answer:
Step-by-step explanation:
Answer:
so you're answer is 30 inches in total because if you add up all the inches and the hours that's tire answer glad if i could help.
Solve for a. -23 + a - 12
I think what was meant here was -23 + a = -12.
a = 11
To solve for a, let’s subtract -12 from -23:
-23 - (-12) = 11
a = 11
Let's plug 11 in for reassurance:
-23 + 11 = -12
a = 11
Problem 2: A storm causes a 14m hydro pole to lean over. The pole leans at an angle of 72° to
the ground. How high is the top of the pole from the ground?
The top of the pole from the ground is 13.314798.
Given condition, formulate :
= 14 * sin (72°)
= 4 sin 72°
= 14 * 0.951057
= 13.314798
The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant, cosine , cotangent , secant , sine , and tangent .
The trigonometric function can be described as being even or odd.
Odd trigonometric functions: A trigonometric function is said to be an odd function if f(-x) = -f(x) and symmetric with respect to the origin.
Even trigonometric functions: A trigonometric function is said to be an even function, if f(-x) = f(x) and symmetric to the y-axis.
Hence, the top of the pole from the ground is 13.314798.
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Give A || B, find each of the indicated angle measures. Given: m<3=63 Find:m<6,m<7
m<6 = 117° based on the same-side-interior angles theorem
m<7 = 63° based on the corresponding angles theorem
What is the Same-Side Interior Angles Theorem?Angles 3 and 6 are same-side interior angles, therefore, based on the same-side-interior angles theorem, their sum equals 180 degrees because they are supplementary to each other.
Thus:
m<3 + m<6 = 180
Substitute
63 + m<6 = 180
m<6 = 180 - 63
m<6 = 117°
m<7 = m<3 [corresponding angles theorem]
m<7 = 63°
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It is estimated that the value of a new car is reduced 30% after one year of ownership. Find the value after one year of a car that cost $23,800 new.
Answer:
The answer would be $16,660.
Step-by-step explanation:
The car would cost $16,660 after one year.
LeAnn wants to gift wrap a present she got for her little brother. How many square inches of gift wrap will be needed to cover a box that is 4 in x 6 in x 2 in ? In your final answer, include all of your calculations.
All calculations for answer in picture form
Answer:
There are 88 square inches needed to cover a box that is 4 in • 6 in • 2 in
Step-by-step explanation:
In order to cover the box you need to find the surface area of it. The formula for finding the surface area of a rectangular prism is 2 • ((w•l) + (h•l) + (h•w)). The dimensions of the box is 4 inches in length, 6 inches in width, and 2 inches in height.
Apply the dimensions into the formula of the rectangular prism when the numbers are plugged in it results in 2 ( (6•4) + (2•4) + (2•6) )Multiply the dimensions the area of length• width is 24 (six times four is twenty-four), the area of height•width is 8 (two times four is eight), and the area of height•width is 12 (two times six is twelve). At the end of this step it becomes 2 • ((24) + (8) + (12))Add all the numbers inside the parentheses then it becomes 2 • (44) Multiply the number in parentheses by 2 the final answer is 88 in²PLS HELP!! Write an equation in point-slope form for a line that passes through the given set of points. (-1,-2)(-3,1)
Round 24,990 to the nearest ten thousand
Answer:
30,000
Step-by-step explanation:
If not, try 25,000
Answer:
25,000
Step-by-step explanation:
brainlest please
To find the quotient 104/8 104 as an expression with partial products
The value of the quotient 104/8 is 13
How to rewrite the expression as a partial product?The quotient expression is given as
104/8
Express 104 as 80 + 24
So, we have
104/8 = (80 + 24)/8
Split the fraction in the above expression
So, we have
104/8 = 80/8 + 24/8
Evaluate the quotients
So, we have
104/8 = 10 + 3
Evaluate the sum
So, we have
104/8 = 13
Hence, the value of the quotient 104/8 is 13
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Can anyone explain this?
Answer:
0.250
Step-by-step explanation:
Given from the question, we know that the summation (adding all values together) of all P(x) values is equal to 1.
And, we do know that P(2) = P(4).
This means , we will subtract all the known P(x) values from 1 to get the value of P(2) + P(4).
P(2) + P(4) = 1 - 0.0425 - 0.3750 - 0.0625 - 0.0200 = 0.500
Since P(2) = P(4), we divide 0.500 by 2 to get the value of P(2) and P(4).
P(2) = P(4) = 0.500 ÷ 2 = 0.250
PLEASE HELP ASAP WILL MARK BRAINLIEST !
Write the number in scientific notation.
83,497.6
x 10
Answer: 834,976
Step-by-step explanation:
Use algebraic methods to prove that the given function has an x-intercept that is equal to its y-intercept. In your final
answer, include all of your calculations.
y= x/x^2-1
Step-by-step explanation:
the y-intercept is the y value when x = 0.
the x-intercept is the x value when y = 0.
for x = 0
y = 0 / (0² - 1) = 0/-1 = 0
this automatically answers also our question about the x value when y = 0. we found this out already with the y-intercept.
the interception point with both coordinate axis is (0, 0).
55.252 + 2.983 + 16.304 = ?
Answer: 74.539
Step-by-step explanation:
Find the mean of the data set shown in the table below.
Data Set E
1.69
0.85
0.23
1.6
0.08
Write the equation of the line that passes through the points (1,1) and (11,−2).
The equation of the line in slope-intercept form is: y = -3/10x + 13/10.
How to Write the Equation of the Line?Given the points, (1,1) and (11,−2). Follow the steps explained below.
Step 1: Find the slope of the line:
Slope (m) = change in y / change in x = (-2 - 1)/(11 - 1)
Slope (m) = -3/10
Step 2: Substitute m = -3/10 and (a, b) = (1, 1) into y = mx + b to find the value of b
1 = -3/10(1) + b
1 = -3/10 + b
1 + 3/10 = b
b = 13/10
Step 3: Substitute m = -3/10 and b = 13/10 into y = mx + b
y = -3/10x + 13/10
Thus, the equation of the line in slope-intercept form is: y = -3/10x + 13/10.
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A casual fast food restaurant offers 4 different toppings that each can be served over one of 3 bases: a piece of fry bread, a salad, or on rice. Further, customers can choose one of 3 different sauces to be served with their order.
How many distinct filling-base-sauce combinations does a customer at this restaurant have to choose from?
Answer: 36 combinations
Step-by-step explanation:
Since you have 4 toppings, 3 bases and 3 sauces, you can just multiply them to get the different combos.
4 * 3 * 3
= 36
Solve for y.
–4|y| − 1 = –13
i will give brain
Answer:
I believe the answer is y=3,−3
Step-by-step explanation:
a number between 10 and 100 there are 5 base ten blocks and the tens is greater than the number of ones blocks one of the digits is 4
Please explain how to find answer so i can teach my child. Thought it was 54 but that is incorrect
The number between 10 and 100 which has 5 base ten blocks and one of the digits is 4 will be 41.
Let the two digits be x and y
There are 5 base ten blocks therefore the sum of the numbers will be 5
i.e. x + y = 5 ..eq-1
One of the digit is 4
So, let the value of x = 4
Putting the value of x in eq-1
4 + y = 5
y = 5 - 4
y = 1
Since tens placed number block is a greater than the ones block,
y > x
4 > 1
therefore 4 will be at tens place and 1 will be kept at ones place and number so formed will be 41.
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Is f(x)=x^3-7 a one to one function
To test the ability of mechanics to identify simple engine problems, a car with a single such problem was taken in turn to 72 different car repair facilities. Only 42 of the 72 mechanics who worked on the car correctly identified the problem. Does this strongly indicate that the true proportion of mechanics who could identify this problem is less than 0.75?
a) Perform the appropriate test of hypothesis using = 0.01. Clearly show the eight (8) steps
Using the z-distribution, it is found that since the p-value is less than 0.01, there is strong indication that the true proportion of mechanics who could identify this problem is less than 0.75.
What are the hypotheses tested?At the null hypotheses, it is tested if there is not enough evidence that the proportion is less than 0.75, that is:
[tex]H_0: p \geq 0.75[/tex]
At the alternative hypotheses, it is tested if there is enough evidence that the proportion is less than 0.75, that is:
[tex]H_1: p < 0.75[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.For this problem, the parameters are given as follows:
[tex]n = 72, \overline{p} = \frac{42}{72} = 0.5833, p = 0.75[/tex]
Hence the test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.5833 - 0.75}{\sqrt{\frac{0.75(0.25)}{72}}}[/tex]
z = -3.27.
What is the p-value of the test?Considering a left-tailed test, as we are testing if the proportion is less than a value, with z = -3.27, the p-value is < 0.01.
Since the p-value is less than 0.01, there is strong indication that the true proportion of mechanics who could identify this problem is less than 0.75.
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Calcula la altura de un cono si el diámetro mide 30 cm y su generatriz 17 cm .
La altura del cono es de 8 centimetros.
¿Como encotrar la altura del cono?Sabemos que para un cono de radio R, altura H, y generatriz G se cumple la relación:
R^2 + H^2 = G^2
Resolviendo para la altura obtenemos:
H = √(G^2 - R^2)
En este caso sabemos que le diámetro es de 30 cm, entonces el radio será de:
R = 30cm/2 = 15cm
Y la generatriz es de 17cm, entonces G = 17cm
Reemplazando eso en la ecuación para la altura obtendremos:
H = √((17cm)^2 - (15cm)^2) = 8cm
Concluimos que la altura del cono es de 8 centimetros.
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I have no clue, someone help me out
Solve the equation for x.
Show work
3.5(x +2) = 17
Answer: x = [tex]\frac{20}{7}[/tex]
(or)
x = 2.86 ( rounded )
Step-by-step explanation:
3.5(x +2) = 17
3.5x + 7 = 17
3.5x = 17 - 7
3.5x = 10
x = 10/3.5
x = [tex]\frac{20}{7}[/tex]
(or)
x = 2.86 ( rounded )