Final answer:
The surface area of the rectangular prism is 376 square inches.
Explanation:
To find the surface area of an object, we need to calculate the sum of the areas of all its faces. Given the dimensions 10 in., 6 in., 8 in., and 7 in., we can assume that these are the lengths of the sides of a rectangular prism. The formula to find the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the prism, respectively.
Using the given values, we can substitute 10 in. for l, 6 in. for w, and 8 in. for h to find the surface area:
Surface Area = 2(10 in.)(6 in.) + 2(10 in.)(8 in.) + 2(6 in.)(8 in.)
Surface Area = 120 in² + 160 in² + 96 in²
Surface Area = 376 in²
Each of 6 students reported the number of movies they saw in the past year. This is what they reported. 15,9,13,18,9,6, find the mean and median numbers of the movies that students saw.
Answer:
mean = 11.66666
median = 11
Step-by-step explanation:
To find the mean, add up all the numbers, then divide by how many numbers
mean = (15+9+13+18+9+6) / 6 = 70/6 = 11 .6666666
To find the median, put the numbers from smallest to largest. then take the middle number. Since there is an even number, take the two middle numbers and average them
6,9,9,13,15,18
The two middle numbers are 9 and 13
(9+13)/2 = 22/2 = 11
Need whole answer please
Answer: Audrey is less than 17 years old (possible answers 16,15,14,13...)
Answer in inequality: x<17
Step-by-step explanation:
3x + 9 < 60
3x + 9 - 9 < 60 - 9
3x < 51
x<17
Answer: x<17
EXPLAIN
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See attached question below
ANSWER
A. 10,000
EXPLANATION
The given rational function is
[tex]f(x) = \frac{1}{x - 2} [/tex]
This function is not defined at x=2.
But as we are picking x-values that are closer and closer to 2, the functional values grows bigger and bigger positively or negatively without bounds.
Therefore a possible value of f(x) as x is close to 2 is 10,000.
The correct answer is A.
Please help me thank you
Answer:
[tex]\large\boxed{\sin2\theta=\dfrac{\sqrt3}{2},\ \cos2\theta=\dfrac{1}{2}}[/tex]
Step-by-step explanation:
We know:
[tex]\sin2\theta=2\sin\theta\cos\theta\\\\\cos2\theta=\cos^2\theta-\sin^2\thet[/tex]
We have
[tex]\sin\theta=\dfrac{1}{2}[/tex]
Use [tex]\sin^2\theta+\cos^2\theta=1[/tex]
[tex]\left(\dfrac{1}{2}\right)^2+\cos^2\theta=1\\\\\dfrac{1}{4}+\cos^2\theta=1\qquad\text{subtract}\ \dfrac{1}{4}\ \text{from both sides}\\\\\cos^2\theta=\dfrac{4}{4}-\dfrac{1}{4}\\\\\cos^2\theta=\dfrac{3}{4}\to\cos\theta=\pm\sqrt{\dfrac{3}{4}}\to\cos\theta=\pm\dfrac{\sqrt3}{\sqrt4}\to\cos\theta=\pm\dfrac{\sqrt3}{2}\\\\\theta\in[0^o,\ 90^o],\ \text{therefore all functions have positive values or equal 0.}\\\\\cos\theta=\dfrac{\sqrt3}{2}[/tex]
[tex]\sin2\theta=2\left(\dfrac{1}{2}\right)\left(\dfrac{\sqrt3}{2}\right)=\dfrac{\sqrt3}{2}\\\\\cos2\theta=\left(\dfrac{\sqrt3}{2}\right)^2-\left(\dfrac{1}{2}\right)^2=\dfrac{3}{4}-\dfrac{1}{4}=\dfrac{3-1}{4}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
If f(x)=2x and g(x)= 1/x, what is the domain of (f*g) (x)
Answer:
The domain of (f*g) (x) is the set of all real numbers; ( -∞, ∞)
Step-by-step explanation:
(f*g) (x) simply means we obtain the product of f(x) and g(x). We are given that;
f(x)=2x
g(x)= 1/x
(f*g) (x) = f(x) * g(x)
(f*g) (x) = 2x * 1/x = 2
This is a horizontal line defined everywhere on the real line. The domain of (f*g) (x) is thus ( -∞, ∞)
Answer:
All real numbers
Step-by-step explanation:
Given : [tex]f(x)=2x[/tex]
[tex]g(x)= \frac{1}{x}[/tex]
To Find : the domain of (f*g) (x)
[tex]f(x)=2x[/tex]
[tex]g(x)= \frac{1}{x}[/tex]
[tex](f\cdot g)(x)=2x \times \frac{1}{x}[/tex]
[tex](f\cdot g)(x)=2[/tex]
Since the value of [tex](f\cdot g)(x)=2[/tex]
So, the domain of the function is [tex](f\cdot g)(x)[/tex] is all real numbers .
Find the mode of this set of data 18,27,28,44,44,50,67
Answer:
44
Step-by-step explanation:
the mode of a set of data is the value that occurs most often, in this case it is 44
44 would be the mode of the data.
The mode of the data is the number that occurs the most. It is always best to put the numbers in order from least to greatest so we can see what number appears more than once.
18,27,28,44,44,50,67
When we look at this set of numbers, we can see that 44 appears more than any other number. Therefore, the mode of these numbers is 44.
Order the following integers from least to greatest:
−41,−51,−38, 50, 41 and 13
Answer:
-51, -41, -38, 13, 41, 50
Step-by-step explanation:
The integers ordered from least to greatest are: -51, -41, -38, 13, 41, 50.
To order the integers from least to greatest, one must start by identifying the negative integers and then the positive integers. Among negative integers, the larger the absolute value, the smaller the number. Conversely, for positive integers, the larger the number, the greater it is.
Starting with the negative integers:
-51 is the smallest because it has the largest absolute value among the negative numbers.
-41 is the next smallest negative number.
-38 is the smallest negative number because it has the smallest absolute value among the negatives.
Now, moving on to the positive integers:
13 is the smallest positive number.
41 is the next smallest positive number.
50 is the largest positive number.
Putting it all together:
-51, -41, -38, 13, 41, 50.
If the area A of a triangle is 45 m2 (square meters) and the altitude h is 15 m, what's the base b?
Answer:
The base b is 6m
Step-by-step explanation:
The area A of a triangle with base b and height h is given by the formula;
[tex]A=\frac{1}{2}*b*h[/tex]
The area of the triangle is given as 45 while the height h is 15. We substitute these known values into the formula above and solve for the unknown base;
[tex]45=\frac{1}{2}*b*15\\\\90=15*b[/tex]
We finally divide both sides by 15 to solve for b;
b = 90/15 = 6
Therefore, the base of the triangle is 6 m
Answer:
[tex]b = 6\ m[/tex]
Step-by-step explanation:
The area of a triangle is
[tex]A = 0.5b * h[/tex]
Where b is the base of the triangle and ha is the height.
In this case we have a triangle with area
[tex]A = 45\ m ^ 2[/tex]
and with height:
[tex]h = 15\ m[/tex]
So the base of the triangle is:
[tex]45 = 0.5b (15)\\\\b=\frac{45}{15*0.5}\\\\b=6\ m[/tex]
Finally the base of the triangle is b = 6 meters
the perimeter of a rectangle is 68 cm. the length is 4 cm less than three times ots width. write a system of equation to find the dimensions of the rectangle.
2L + 2w = 68 & L = 3w-4
2(3w-4) = 68
6w-8= 68
6w = 60
W= 10
L = 3*10-4
L= 30-4= 26
The average of two numbers is 1/4. One of the numbers is 1/8. Find the other number
Answer:
3/8
Step-by-step explanation:
the formula to find average of a set of values is, you add all the numbers, then you divide by the total amount of numbers.
you can work backwards with your problem by multiplying 1/4*2
[tex] \frac{1}{4} \times 2 = \frac{1}{2} [/tex]
then you subtract 1/8 from that
[tex] \frac{1}{2} - \frac{1}{8} = \frac{3}{8} [/tex]
3/8 is the other number to get an average of 1/4
Afton made a chicken dish for dinner.She added a 10- ounce package of vegetables and a 14-ounce package of rice to 40 ounces of chicken. What was the total weight of the chicken dish in pounds ?
Answer:
The answer is 4 pounds
Step-by-step explanation:
10+14+40=64 oz 64/16 =4
Answer:
4 pounds
Step-by-step explanation:
40 ounces of chicken+ 10 ounces of vegetables+ 14 ounces of rice= 64 ounces of the whole chicken dish.
Now, convert the number of ounces into pounds.
There are 16 ounces in a pound
Or
16 ounces=1 pound
So, divide 16 into 64 to get the number of pounds, which is 4.
Hope this helps!
Tania analyzed the relationship between student test scores and the number of hours studied. She calculated the trend line to be y = 6.8x + 60, where x is the number of hours studied and y is the score. Which closet is to the score for a student who studied 3 hours?
A 80
B 85
C 90
D 95
Answer:
A: 80
Step-by-step explanation:
As we know that the trend line is [tex]y=6.8x+60[/tex], we can plug in x=3 in order to find out the estimated score for 3 hours of studying
[tex]y=6.8x+60\\\\y=6.8(3)+60\\\\y=20.4+60\\\\y=80.4[/tex]
y=80.4 is closest to A: 80
Answer:
Option A, 80
Step-by-step explanation:
Trend line is given by y = 6.8x + 60
where x = number of hours she studied
y = score
Now we have to calculate the score for a student for studied for 3 hours.
y = 6.8 × 3 + 60
= 20.4 + 60
= 80.40
≈ 80
Option A will be the answer.
9 pounds of ground beef cost $40.32. What is the price per ounce?
The price per ounce of ground beef, when 9 pounds cost $40.32, is $0.28.
Calculating Price per Ounce of Ground Beef
To calculate the price per ounce for ground beef when given the price for 9 pounds, we will first need to know how many ounces are in 9 pounds. Since there are 16 ounces in 1 pound, 9 pounds is equivalent to 144 ounces (9 pounds × 16 ounces/pound).
Next, we divide the total cost of the 9 pounds of ground beef by the total number of ounces to find the price per ounce. The total cost given is $40.32.
Price per ounce = Total cost \/ Total number of ounces
Price per ounce = $40.32 \/ 144 ounces
Price per ounce = $0.28
Therefore, the price per ounce of ground beef is $0.28.
Find the value of each variable. For the circle, the dot represents the center.
Answer:
Part 1) The measure of angle d is 65°
Part 2) The measure of angle c is 89°
Part 3) The measure of arc a is 131°
Part 4) The measure of arc b is 47°
Step-by-step explanation:
we know that
In an inscribed quadrilateral, opposite angles are supplementary
step 1
Find the measure of angle d
∠d+115°=180°
∠d=180°-115°=65°
step 2
Find the measure of angle c
∠c+91°=180°
∠c=180°-91°=89°
step 3
Find the measure of arc a
we know that
The inscribed angle measures half that of the arc comprising
115°=(1/2)[99°+arc a]
230°=[99°+arc a]
arc a=230°-99°=131°
step 4
Find the measure of arc b
we know that
The inscribed angle measures half that of the arc comprising
∠c=(1/2)[arc a+arc b]
substitute the values
89°=(1/2)[131°+arc b]
178°=[131°+arc b]
arc b=178°-131°=47°
A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
An arc is one of the portions of a circle. It is basically a part of the circumference of a circle.
The measure of the ∠d is 65 degrees.
The measure of the ∠c is 89 degrees.
The measure of the arc a is 131 degrees.
The measure of arc b is 47 degrees.
We have to determineThe value of each variable. For the circle, the dot represents the center.
What is the angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
What is an arc?
An arc is one of the portions of a circle. It is basically a part of the circumference of a circle.
1. The measure of ∠d is;
∠d+ 115°= 180°
∠d= 180°-115°= 65°
The measure of the ∠d is 65 degrees.
2. The measure of ∠c is,
∠c+ 91°= 180°
∠c =180°-91° =89°
The measure of the ∠c is 89 degrees.
3. The measure of arc a is,
The inscribed angle measures half that of the arc comprising;
[tex]\rm 115=\dfrac{1}{2}[99+arc \ a]\\\\230=[99+arc a]\\\\arc \ a = 230-99\\\\arc \ a= 131[/tex]
The measure of the arc a is 131 degrees.
4. The measure of arc b is,
The inscribed angle measures half that of the arc comprising;
[tex]\rm 89=\dfrac{1}{2}[131+arc \ b]\\\\178=[131+arc \ b]\\\\arc \ b = 178-131\\\\arc \ b = 47[/tex]
The measure of arc b is 47 degrees.
To know more about Angle and Arc click the link given below.
https://brainly.com/question/9177423
Which is an asymptote of the graph of the function y=tan(3/4x)?
1)x=-4pi/3
2)x=-2pi/3
3)x=3pi/4
4)x=3pi/2
Answer is 2
ANSWER
[tex]x = - \frac{2\pi}{3} [/tex]
EXPLANATION
The given function has equation
[tex]y = \tan( \frac{3}{4}x) [/tex]
This can be rewritten as
[tex]y = \frac{ \sin( \frac{3}{4}x ) } { \cos(\frac{3}{4}x )}[/tex]
The asymptote occurs at:
[tex]\cos(\frac{3}{4}x ) = 0[/tex]
This implies that,
[tex] \frac{3}{4} x = \frac{ \pi}{2} [/tex]
[tex]x = \frac{ \pi}{2} \times \frac{4}{3} [/tex]
[tex]x = \frac{2\pi}{3} [/tex]
Or
[tex]\frac{3}{4} x = - \frac{ \pi}{2} [/tex]
[tex]x = \frac{ - \pi}{2} \times \frac{4}{3} [/tex]
[tex]x = - \frac{2\pi}{3} [/tex]
The second choice is correct.
Answer:
B) [tex]x = \frac{2\pi }{3}[/tex]
Step-by-step explanation:
this is the correct answer on ed-genuity, hope this helps! :)
*10 POINTS* Which variable expression represents the following word phrase?
"8 less than the quotient of 6 and a number"
Question 1 options:
8−6n
8−n6
6n−8
n6−8
Answer:
[tex](\frac{6}{n})-8[/tex] .
Step-by-step explanation:
Given : "8 less than the quotient of 6 and a number".
To find : expression represents the following word phrase.
Solution : We have given 8 less than the quotient of 6 and a number.
According to question :
Quotient of 6 and n = [tex](\frac{6}{n})[/tex] .
For less than we will use negative sign.
8 less than the quotient of 6 and a number.
[tex](\frac{6}{n})-8[/tex] .
Therefore, [tex](\frac{6}{n})-8[/tex] .
Multiply and simplify.
(x + 3)(x - 8)
A) 2x - 24
B) x2 - 5x + 24
C) x2 - 5x - 24
D) x2 - 8x - 24
Answer:
x^2-5x-24
Step-by-step explanation:
Final answer:
The product of the binomials (x + 3)(x - 8) is simplified using the FOIL method to get x² - 5x - 24. We multiply each term in the first parenthesis by each term in the second and combine like terms.
Explanation:
To multiply and simplify the expression (x + 3)(x - 8), we will use the FOIL method (First, Outer, Inner, Last). This method involves multiplying each term in the first parenthesis by each term in the second parenthesis.
First: x times x = x²
Outer: x times -8 = -8x
Inner: 3 times x = +3x
Last: 3 times -8 = -24
Next, combine like terms (-8x and +3x):
x² - 8x + 3x - 24 = x² - 5x - 24
The simplified form of the given expression is x² - 5x - 24, which corresponds to option C).
What is the circumference of a circle with a diameter of 21 m? (use for pi)
Answer:
21π m, or ≈ 65.94 m
Step-by-step explanation:
Remember that π is the ratio between a circle's circumference and its diameter, or, in equation form:
[tex]\pi=\frac{c}{d}[/tex]
where c is the circumference and d is the diameter. If we want to find the circumference, we can just multiply that equation by d on both sides to get
[tex]c=\pi d[/tex]
Here, our d = 21 m, so our circumference would be
[tex]c=21\pi[/tex] m, or approximately 21(3.14) = 65.94 m
Combine like terms to find the equivalent expression to6(58u+1)−6(−74u−5).
Answer:
-36 • (22u + 1)
Step-by-step explanation:
Pulling out like terms :
2.1 Pull out like factors :
-74u - 5 = -1 • (74u + 5)
Equation at the end of step 2 :
(6 • (58u + 1)) - -6 • (74u + 5)
Step 3 :
Equation at the end of step 3 :
6 • (58u + 1) - -6 • (74u + 5)
Step 4 :
Pulling out like terms :
4.1 Pull out 6
Note that -6 =(-1)• 6
After pulling out, we are left with :
6 • ( (-1) * (58u+1) +( (-1) * (74u+5) ))
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
-132u - 6 = -6 • (22u + 1)
Final result :
-36 • (22u + 1)
Which of the following digits could replace the □ in the tens place to make this statement true? 88,5□1 rounds to 88,500 if we round to the nearest hundred.
chose all answers that apply:
:0
:2
:4
To make 88,5□1 round down to 88,500, the digit that replaces □ must be less than 5; therefore, the replacements could be :0, :2, or :4.
potential
Explanation:The given number is '88,5□1' and we want to find the digit that replaces the □ and rounds the number to '88,500' when we round to the nearest hundred. An important point to remember about rounding is that if the digit in the tens place is less than 5, we round down, while if it's 5 or above, we round up. Since we want to round down to 88,500, the digit that replaces □ in the tens place must therefore be less than 5. So, the possible digits could be :0, :2, or :4.
Learn more about Rounding Numbers here:https://brainly.com/question/28562556
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14 points someone please help me quick!
The E3 is the same as writing 10^3.
The answer would be 7.9 x 10^3
Please help will give brainliest
Answer:
[tex]c = 4[/tex]
Step-by-step explanation:
For this triangle we have to
[tex]A=63\\C=49\°\\c=3\°[/tex]
Now we use the sine theorem to find the length of a:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]
Then:
[tex]\frac{sin(A)}{a}=\frac{sin(C)}{c}\\\\a=\frac{sin(A)}{\frac{sin(C)}{c}}\\\\a=c*\frac{sin(A)}{sin(C)}\\\\a=(3)\frac{sin(63)}{sin(49)}\\\\c=4[/tex]
a Potter uses 3/5 of a pound of clay to make a bowl how many bowls could the Potter make from 10 lb of clay
Answer:
16
Step-by-step explanation:
Let's say x is the number of bowls. If each bowl needs 3/5 pound of clay, then the total clay needed is 3/5 * x. We know the total amount is 10 pounds. Therefore:
10 = 3/5 x
Divide:
x = 10 / (3/5)
To divide by a fraction, we need to multiply by the reciprocal:
x = 10 * (5/3)
x = 50/3
x = 16 ⅔
We can't have part of a bowl, so we must round down. The potter can make 16 bowls.
paige and her family went to the movies. They bought 4 tickets and paid $12 for popcorn. They spent $40. How much did each ticket cost?
____________________________________________________
Answer:
7 dollars
____________________________________________________
Step-by-step explanation:
To make solving this equation easier, lets turn the the information we got in the question into an actual equation.
Key information:
4 tickets
$12 popcorn
Spent a TOTAL of $40.
With the information above, we can use it to make an equation.
We would use the equation: y = mx + b
Since our "y" value would represent our total value, our total value is 40, so we would plug 40 into y.
Your equation should look like this:
40 = mx + b
Our "b" value represents our start value, and our start value would be 12 because we started with one $12 popcorn.
Your equation should look like this:
40 = mx + 12
Our "m" value would represent how many tickets we bought, so we would plug in 4 in m.
Our equation would be:
40 = 4x + 12
Now we can solve the equation:
We would move the 12 over to the left side of the equal sign by subtracting, then we would divide by 4.
[tex]40=4x+12\\\\28=4x\\\\7=x[/tex]
We should get ther answer of 7, that means that each ticket cost $7 dollars.
7 dollars should be your FINAL answer.
____________________________________________________
Answer:
One ticket = $7
Step-by-step explanation:
Forming the equation,
→ 4x + 12 = 40
Now the value of x will be,
→ 4x + 12 = 40
→ 4x = 40 - 12
→ x = 28/4
→ [ x = 7 ]
Hence, the value of x is 7.
A flat screen television has a 50 inch diagonal and a height of 25 inches. How wide is the television rounded to the nearest tenth?
(Use the Pythagorean Theorem)
Answer
inches
Answer:
The wide of television is [tex]43.3\ in[/tex]
Step-by-step explanation:
Let
x----> the wide of television
we know that
Applying the Pythagoras Theorem
[tex]50^{2}=x^{2}+25^{2}[/tex]
Solve for x
[tex]x^{2}=50^{2}-25^{2}[/tex]
[tex]x^{2}=1,875[/tex]
[tex]x=43.3\ in[/tex]
not sure how to solve these :(
Answer:
The decimal form of 5/8 is 0.625
All you have to to is divide numerator by denominator
Ur percent would be 63% if rounded
If not then its 62%
Freya is training for a track race. She starts by sprinting 200 yards. She gradually increases her distance, adding 5 yards a day for 21 days which explicit formula models this situation
Answer:
The explicit formula is:
[tex]a_n = 200 +5(n-1)[/tex]
Step-by-step explanation:
Freya increases 5 yards daily to the number of yards she runs.
Note that the increase factor is constant, so this problem can be modeled using an arithmetic sequence.
The explicit formula for an arithmetic sequence is:
[tex]a_n = n_1 + d(n-1)[/tex]
Where:
[tex]a_n[/tex] is the number of yards that Freya runs on the day
[tex]a_1[/tex] is the number of yards that he runs on day 1
d is the increase factor. [tex]d = 5[/tex] yards
n is the number of days
Then as [tex]a_1 = 200[/tex] and [tex]d = 5[/tex], the explicit formula is:
[tex]a_n = 200 +5(n-1)[/tex]
Answer:
a_n = 200 (n-1)5
Step-by-step explanation:
just to simplify from those over achievers who confuse the living h e l l out of everyone
how to factor 6x^2+7x-10
Answer:
(6x-5)(x+2)
Step-by-step explanation:
6x²+7x-10
= (6x-5)(x+2)
Which two elements make up 3/4 of the Earth's crust
Answer:
Oxygen and Silicon
Step-by-step explanation:
Oxygen and Silicon make up 75% of the weight of the Earth's crust.
Answer = oxygen and silicone.
Write the function in function notation with the name "g":
y = 4b+ 5
Answer:
g(b)=4b+5
Step-by-step explanation:
because this is how you write it as a function