Answer: 3,600,000 cm³
Step-by-step explanation: First you have to convert all the units into centimeters,
2 meters = 200 centimeters
1.5 meters = 150 centimeters
To find the volume of a rectangular prism you multiply all the sides.
120 * 200 * 150 = 3,600,000
The answer is 3,600,000 cubic centimeters.
The volume of a rectangular prism with the given dimensions is 3.6 cubic meters.
The dimensions of a rectangular prism are 120 centimetres(1.2 meters) by 2 meters by 1.5 meters.
What is the formula to find the volume of a rectangular prism?The formula to find the volume of a rectangular prism is l×b×h.
Now, volume=1.2×2×1.5=3.6 cubic meters.
Therefore, the volume of a rectangular prism is 3.6 cubic meters.
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A restaurant used 15 pounds of ground beef to make hamburgers for the day. How many burgers did they make if each burger is 6 ounces? (16 ounces = 1 pound) Explain your answer and show all conversions.NEED ANSWERS TODAY BECAUSE IT DUE TOMORROW!!
They were able to make 40 burgers with it
Answer: 40 hamburgers
Step-by-step explanation:
15 pounds x 16 ounces=240 ounces of hamburger meat
Each burger is 6 ounces 240 divided by 6= 40 hamburgers
Evaluate 3a2 + 2b when a = -4 and b = 6.
156
48
36
144
60
156
Explanation:
3 x -4 =-12
-12 x -12 = 144
2 x 6 = 12
12 + 144 =156
Answer:
60
E
Step-by-step explanation:
Givens
a = - 4
b = 6
Formula
3a^2 + 2b
Solution
3(-4)^2 + 2*6
3(16) + 12
48 + 12
Answer: 60
Sam has 2/3 of a piece of poster board. He cuts the poster board into 6 equal size pieces. What part of the whole poster board is each smaller piece?
2/3 divided by 6
2/3 times 1/6
1/9
PLZ HELP IM ON A TIMELINE HURRY
Answer:
5 x 5, 2 raised to the fifth power, 25
6 x 6 x 6, six cubed, 216
1/5 2, one fifth cubed, 1/5
62, 6 x 6, 36
hope this helped please give me the brainliest answer?
Have a good day ma dude!!! <3
What’s the answe please
Answer:
C - a line segment and a ray are both two-dimensional. Already has one endpoint and extends and One Direction indefinitely.
Step-by-step explanation:
Well, A ray is and endpoint with an indefinite line coming out of it.
(·--------------------->)
A line segment ends like this:
(·---------------------·)
They are both 2-dimensional. :)
in a 30-60-90 triangle, the length of the side opposite the 30 angle is 8. find the length of the side opposite the 60 angle
Answer:
[tex]8\sqrt{3}\ units[/tex]
Step-by-step explanation:
Let
x----> the side opposite the 60 angle
Applying the law of sines
[tex]\frac{8}{sin(30)}=\frac{x}{sin(60)}\\ \\x=8*sin(60)/sin(30)\\ \\x=8\sqrt{3}\ units[/tex]
Y= 10x - 32 what is the x and y value of this equation
Answer:
[tex]y=10x-32 \\ \\ x=\frac{y}{10}+3.2[/tex]
Step-by-step explanation:
[tex]y=10x-32[/tex]
Because that's the equation given.
To solve for x, isolate the variable and then divide by the coefficient.
[tex]y=10x-32 \\ \\ 10x=y+32 \\ \\ x=\frac{y}{10}+\frac{32}{10} \\ \\ x=\frac{y}{10}+3.2[/tex]
graph the following inequality x≥2
Answer:
The graph is as attached.
Step-by-step explanation:
Simply draw a line of x = 2 on your graph paper.
That line should be a complete line not dotted line.
Since x is greater than 2, shade the left side of the line because we are interested in the right side (where x is greater and equal to 2)
Answer:
Here, the given inequality,
[tex]x\geq 2[/tex]
Related equation is,
x = 2
Which is the equation parallel to y-axis and passes through (2,0),
Also, 0 ≥ 2 ( False )
The shaded region of the inequality will not contain the origin,
Now, '≥' shows the solid line.
Thus, by the above explanation,
We can graph the given inequality ( shown below )
x>y, and the difference between x and y is 5. The number x is 1 more than twice the number y.
Answer:
the answer is d
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
identify the frequency of the graph
ANSWER
[tex] \frac{1}{2} [/tex]
EXPLANATION
The frequency of a wave function refers to the number of times the graph repeats its cycle within the interval [0,2π]
We can observe explicitly from the graph that the frequency is half.
The period of the given function is 4π
[tex] \frac{2\pi}{b} = 4\pi[/tex]
[tex]b = \frac{2\pi}{4\pi} = \frac{1}{2} [/tex]
Hence the frequency is half.
The function below describes the population of caribou in a tundra, where f(t) represents the number of caribou, in hundreds, and t represents the time, in years.
f(t)=1.8(1.2)^t
Initially, the tundra has _____ caribou, and every ____ , the number of caribou increases by a factor of ____ .
Answer:
Initially, the tundra has 180 caribou, and every year , the number of caribou increases by a factor of 1.2 .
Step-by-step explanation:
"Initially" generally means "when t=0." Put 0 where t is in the function and evaluate it:
f(0) = 1.8(1.2)^0 = 1.8(1) = 1.8 . . . . . hundreds
1.8 hundreds is 1.8×100 = 180.
__
t is in years, so the simplest choice for the second blank in the statement is "year".
__
The exponent of 1.2 is t, which means that 1.2 is a factor of the expression the number of times specified by t.
for t=0, f(0) = 1.8
for t=1, f(1) = 1.8(1.2)
for t=2, f(2) = 1.8(1.2)(1.2)
for t=3, f(3) = 1.8(1.2)(1.2)(1.2)
Perhaps you can see that every year, the number increases by a factor of 1.2.
_____
You could put "3 years" in the second blank, then the third blank would be 1.2³ = 1.728. While correct, it is probably not what is expected by your answer checker.
Answer:
180
1 year
1.2
Step-by-step explanation:
got it correct on edmentum
Identify the terms, coefficients, and constants in the expression 3x+10.
Answer:
Terms (in BOLD) : 3x+10
two terms
Coefficients (in BOLD) : 3x+10
one coefficient
Constants (in BOLD) : 3x+10
one constant
Step-by-step explanation:
Terms are the contents in the equation of such. For example, 10+4n. There are two terms. Coefficients are the number next to a variable. For example, 9x. 9 is the coefficient. Constants are numbers without a variable. Numbers like 7, 8, 9, 10-- they don't have variables so they are constants in an equation. Now, knowing this information lets get to work!
The equation: 3x+10
Terms (in BOLD) : 3x+10
two terms
Coefficients (in BOLD) : 3x+10
one coefficient
Constants (in BOLD) : 3x+10
one constant
Hope this helps!!
-Ketifa
Final answer:
The expression 3x+10 consists of two terms: 3x (with the coefficient 3) and 10 (the constant).
Explanation:
In the expression 3x+10, there are two terms: 3x and 10. The term 3x consists of a variable (x) and a coefficient (3), which is the number multiplying the variable.
The term 10 is a constant because it does not contain any variables and its value does not change. The coefficients in this expression are therefore the number 3, and the constant is 10.
5. Solve the equation. 8/x+3 = 1/x+1
Answer:
x = -5/7
Step-by-step explanation:
8 1
---------- = ----------
x+3 x+1
Using cross products
8 (x+1) = 1 (x+3)
Distribute
8x+8 = x+3
Subtract x from each side
8x-x +8 = x-x+3
7x+8 =3
Subtract 8 from each side
7x +8-8 =3-8
7x = -5
Divide each side by 7
7x/7 = -5/7
x = -5/7
identify the domain and range of the function graphed below
Answer:
Part 1) The domain is
[tex]x\leq 4[/tex]
All real numbers less than or equal to 4
Part 2) The range is
[tex]y\geq 0[/tex]
All real numbers greater than or equal to 0
Step-by-step explanation:
Part 1) Find the domain
Observing the graph
we know that
The domain is the interval for x ------> (-∞,4]
so
[tex]x\leq 4[/tex]
All real numbers less than or equal to 4
Part 2) Find the range
Observing the graph
we know that
The range is the interval for y ------> [0,∞)
[tex]y\geq 0[/tex]
All real numbers greater than or equal to 0
A math teacher assigns three projects. She gives the students five project options to choose from. How many different groups of projects can students choose from?
Answer:
15
Step-by-step explanation:
3 options x 5 options = 15 total options
A- 43
B- 48
C- 37
D- 24
A circle has 360°
Each percent of a circle represents 3.6°
Faucets contributed to 12% of the used water.
12 * 3.6° = 43.2°
The length of GJ is 18 inches.
What is the length of GL?
A. 6 in.
B. 9 in.
C. 18 in.
D. 36 in.
It would B. 9.
Reason to this is because the radius is outlined by line GL. GL is half of the diameter which is GJ.
The answer is B. 9 because GJ is the circumference of the circle and they’re basically asking you to find the radius and the radius is half the circumference and half of 18 is 9 so the answer would be B.
Solve for p.
2(p + 1) = 18
Answer:
p = 8
Step-by-step explanation:
Subtract 18 from behind the equal sign to cancel it out. This leaves you with 2(p+1)- 18= 0.
Next you'll need to pull out the terms to work with the beginning of the problem. 2(p+1)- 18= 0 would turn into 2p - 16 = 2(p - 8).
This would leave you with 2= 0, but that's not true so continue on to the variable.
So p - 8= 0 making the answer p = 8
A bag of flour weigh 3 lb. If a chef needs 15 lb. of flour, how
many bags of flour should he buy?
Answer:
The chef would need 5 bags
Step-by-step explanation:
Because 3 times 5 equals 15
To determine the number of bags of flour the chef should buy, divide the total weight required (15 lb) by the weight of one bag (3 lb), resulting in the need to purchase 5 bags.
To find out how many bags of flour the chef should buy, we need to divide the total weight of flour needed by the weight of one bag. If a bag weighs 3 lb, and the chef needs 15 lb, we calculate it as follows:
Determine the total weight needed: 15 lb.
Determine the weight of one bag: 3 lb.
Divide the total weight by the weight of one bag: 15 lb \/ 3 lb = 5 bags.
Therefore, the chef should buy 5 bags of flour to have a total of 15 lb.
What is the sum of the first 10 terms of the sequence defined by an=4n-3
A. 37
B. 190
C. 380
D. 384
The answer to this is:
B. 190
The sum of the first 10 terms of the sequence an=4n-3 is 190.
The question is asking for the sum of the first 10 terms of the sequence defined by an=4n-3. To find the sum, we first list the first 10 terms by substituting values of n from 1 to 10 into the formula. Thus, for n=1, a1=1(4)-3=4-3=1; for n=2, a2=2(4)-3=8-3=5; and so on until n=10, a10=10(4)-3=40-3=37.
The first ten terms of the sequence are: 1, 5, 9, 13, 17, 21, 25, 29, 33, and 37. The sum of these terms can be calculated as 1+5+9+13+17+21+25+29+33+37 = 190.
Use the substitution method to solve the system of equations 3x+2y=13 y=x-1
Answer:
b
Step-by-step explanation:
The solution of the equations 3x + 2y = 13 y = x - 1 will be (3, 2). Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equations are given below.
3x + 2y = 13 ...1
y = x - 1 ...2
Then from the equations 1 and 2, we have
3x + 2(x - 1) = 13
5x - 2 = 13
5x = 15
x = 3
Then the value of y will be
y = x - 1
y = 3 - 1
y = 2
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Back side lateral area and surface area
This is a regular pyramid. A regular pyramid is a right pyramid whose base is a regular polygon and whose apex is directly above the centre of the base. The lateral surface area is the sum of the areas of all the lateral faces while the surface area is the sum of all the lateral faces plus its base. In this exercise, the base is a square so this is also a square pyramid. Next, we have:
LATERAL SURFACE AREA:
For the lateral sides, we have four identical triangles, so the area of a triangle can be found as:
[tex]A=\frac{bh}{2} \\ \\ Where: \\ \\ b:base \\ \\ h:height[/tex]
and the lateral surface will be four times this value:
[tex]S_{L}=4A[/tex]
The base of the triangle is the same as the base of the square. So:
[tex]b=9yd[/tex].
On the other hand, the height of the triangle is the slant height of the pyramid, which is:
[tex]h=10yd[/tex]
So the area of a triangle is:
[tex]A=\frac{(9)(10)}{2} \\ \\ A=45yd^2[/tex]
Therefore:
[tex]S_{L}=4(45)\\ \\ \boxed{S_{L}=180yd^2}[/tex]
SURFACE AREA:
The surface area can be found as:
[tex]S=S_{L}+A_{b} \\ \\ Where: \\ \\ A_{b}: Area \ of \ the \ base \\ \\ S_{L}: Lateral \ surface[/tex]
Calculating the area of the base, which is a square, we have:
[tex]A_{b}=b^2 \\ \\ A_{b}=9^2 \\ \\ A_{b}=81yd^2[/tex]
Therefore:
[tex]S=180+81 \\ \\ \boxed{261yd^2}[/tex]
8. Find the lateral and surface area.In this case, we have another similar pyramid compared to the previous one, but we are given the height of the pyramid and we'll name it [tex]H[/tex] in capital letter. We know that the area of a triangle is:
[tex]A=\frac{bh}{2} \\ \\ Where: \\ \\ b:base \\ \\ h:height[/tex]
and the lateral surface will be:
[tex]S_{L}=4A[/tex]
To find [tex]h[/tex], which is the slant height of the pyramid, we need to use the Pythagorean theorem. Next, it is true that:
[tex]h=\sqrt{\left(\frac{b}{2}\right)^2+H^2} \\ \\ b=14 \\ H=12 \\ \\ h=\sqrt{\left(\frac{14}{2}\right)^2+12^2} \therefore h=\sqrt{193}[/tex]
So the area of a triangle is:
[tex]A=\frac{(14)(\sqrt{193})}{2} \\ \\ A=7\sqrt{193}ft^2[/tex]
Therefore:
[tex]S_{L}=4(7\sqrt{193})\\ \\ S_{L}=28\sqrt{193}ft^2 \approx 388.9884[/tex]
Rounding to the nearest tenth:
[tex]\boxed{S_{L}=389.0ft^2}[/tex]
SURFACE AREA:
We know that the surface area can be found as:
[tex]S=S_{L}+A_{b} \\ \\ Where: \\ \\ A_{b}: Area \ of \ the \ base \\ \\ S_{L}: Lateral \ surface[/tex]
Calculating the area of the base, which is a square, we have:
[tex]A_{b}=b^2 \\ \\ A_{b}=14^2 \\ \\ A_{b}=196ft^2[/tex]
Therefore:
[tex]S=28\sqrt{193}+196 \\ \\ S \approx 584.9884ft^2[/tex]
Rounding to the nearest tenth:
[tex]\boxed{S=585ft^2}[/tex]
9. Lateral surface area.Here Patrick is making a paper model of castle. He has a net, so he can fold it to build up a pyramid. That's amazing, right? Well, recall that for a pyramid like that the lateral surface area is the area of the lateral faces, that are all triangles. Thus, for a triangle:
[tex]A=\frac{bh}{2} \\ \\ Where: \\ \\ h: \ slant \ height \ of \ the \ pyramid \\ \\ b: base \ of \ the \ pyramid[/tex]
The slant height of the pyramid is [tex]h=20cm[/tex] because this is the same height of the triangle. On the other hand, the base is [tex]b=15cm[/tex]. So:
[tex]A=\frac{15(20)}{2} \\ \\ h=150cm^2[/tex]
Next the lateral surface area is:
[tex]S_{L}=4(150) \\ \\ \boxed{S_{L}=150cm^2}[/tex]
________________
THE OTHER ANSWERS HAVE BEEN ATTACHED BELOW.Which is equivalent to (9y2-4x)(9y2+4x) , and what type of special product is it?
Answer:
81y^4 - 16x^2, difference of squares.
Step-by-step explanation:
So we need to expand the following product:
(9y2-4x)(9y2+4x) = 9y2*9y2 + 4x*9y2 - 4x*9y2 -4x*4x = 81y^4 - 16x^2
And this type of product is the difference of squares.
Answer:
Step-by-step explanation:
The given expression is ( 9y² - 4x) (9y² + 4x)
We will simplify the given expression
(9y² - 4x) (9y² + 4x) = 9y² (9y² + 4x) - 4x (9y² + 4x) [Distributive property]
= 81y⁴ + 36xy² - 36xy² - 16x²
= (81y⁴ - 16x²)
This simplified form is the difference of squares of terms (9y²) and (4x)
How do I solve using quadratic formula?
Answer:
Step-by-step explanation:
In elementary algebra, the quadratic formula is the solution of the quadratic equation. There are other ways to solve the quadratic equation instead of using the quadratic formula, such as factoring, completing the square, or graphing.
My bro is right good job
Select the correct product.
(5m 2 - 2m + 1)(3m - 4)
15m3 - 26m2 + 5m - 4
15m3 - 26m2 + 11m - 4
15m3 - 14m2 + 11m + 4
15m3 - 14m2 - 5m - 4
Answer: 15m3 - 26m2 + 11m - 4
If cos0= -5/13 and sin 0<0, what is tan 0
Answer:
12/5
Step-by-step explanation:
I doubt that you actually meant If cos0= -5/13 and sin 0<0. Please use a Greek letter, such as Ф, to represent the angle.
If you'd do this, you'd have:
If cosФ= -5/13 and sin Ф<0
cos Ф and sin Ф are both negative in Quadrant III.
Recall that cos Ф = adj / hyp, and that hyp is always +. Thus, adj = -5 and hyp = +13. Using the Pythagorean Theorem to find opp:
opp² + adj² = hyp², or:
opp² = hyp² - adj². Applying this, we find that opp = -12.
Recall that tan Ф = opp / adj.
Here,
tan Ф = -12 / (-5) = +12/5
Which represents the solution set of the inequality 5x-9521?
Answer:
thats just things u needto remember.
Step-by-step explanation:
The expression is not factorable with rational numbers.
5
x
−
9521
The solution of the inequality {5x < 9521} is given by the inequality → x < 1904.2.
What is inequality?An inequality is used to compare two or more expressions or numbers.
For example -
2x > 4y + 3
x + y > 3
x - y < 6
Given is to find the solution set of the inequality →
5x < 9521
The given inequality is -
5x < 9521
Dividing by {5} on both sides, we get -
(5x/5) < (9521/5)
x < 1904.2
Therefore, the solution of the inequality {5x < 9521} is given by the inequality → x < 1904.2.
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A store donated cases of crayons to a daycare center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?
In order to find out the total number of crayons, you multiply the number of cases by the number of boxes per case, and then by the number of crayons per box. Assuming the store donated 5 cases, the daycare center received a total of 960 crayons.
To determine how many crayons the daycare center received from the store, we need to multiply the number of cases the store donated by the number of boxes in each case, and then multiply that by the number of crayons in each box. Let's break it down step by step:
Find the total number of boxes by multiplying the number of cases by the number of boxes in each case.Find the total number of crayons by multiplying the total number of boxes by the number of crayons in each box.Assuming the store donated 5 cases (the number of cases was not specified in the question, so we need to assume a number for this example), here's how you would calculate it:
Total number of boxes = 5 cases * 24 boxes/case = 120 boxesTotal number of crayons = 120 boxes * 8 crayons/box = 960 crayonsTherefore, the daycare center received a total of 960 crayons.
if f(x)=4x+7, which if the following is the inverse of f(x)?
Answer:f
1/4y +-7/4 is your answer hope this help if it did mark me brainliest
Step-by-step explanation:
What is the product of 2x + y and 5x – y + 3? x2 + xy + x + y2 + y
Answer: [tex]10x^2+3xy+6x-y^2+3y[/tex]
Step-by-step explanation:
You need to remember the Product of powers property:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
Then, knowing this property, now you have to apply the Distributive property. So:
[tex](2x+y)(5x-y+3)=\\\\=(2x)(5x)-(2x)(y)+(2x)(3)+(y)(5x)-(y)(y)+(y)(3)\\\\=10x^2-2xy+6x+5xy-y^2+3y[/tex]
Finally, to simplify this expression, you need to add the like terms.
Therefore, you get that the product is:
[tex]=10x^2+3xy+6x-y^2+3y[/tex]
Answer:
10 3 6 -1 3
Step-by-step explanation: