Final answer:
The density of the laptop is calculated by dividing the mass (2,300 grams) by the volume (2,850 cubic centimeters), resulting in a density of 0.807 g/cm³, which is approximately 46/57.
Explanation:
To find the density of the laptop in grams per cubic centimeter (g/cm³), we use the formula density = mass/volume. The mass of the laptop is given as 2,300 grams and the volume is given as 2,850 cubic centimeters. By substituting into the formula:
Density = Mass / Volume = 2,300g / 2,850cm³ = 0.807 g/cm³.
When expressed as a fraction in simplest form, this is approximately 46/57 (since 0.807 ≈ 46/57). Hence, the answer is D. 46/57.
Given a right triangle with the length of one leg equal to 9 centimeters and the length of the hypotenuse equal to 15 centimeters, what is the length of the other leg?
Answer: 12cm
Work is shown in the attached sheet! :)
Answer:
12
Step-by-step explanation:
Enter your answer and show all the steps that you use to solve this problem in the space provided.
f
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9
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5
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what is
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Show all of your steps and write your final answer in factored form.
Answer:
[tex] 4x^3 + 2x^2 + 2x[/tex]
Step-by-step explanation:
The functions are [tex]f(x) = 9x^3 + 2x^2 -5x + 4[/tex] and [tex]g(x) = 5x^3 - 7x + 4[/tex]. Find the equation when g is subtracted from f and combing like terms. Remember like terms are terms with the same base and exponent.
[tex](9x^3 + 2x^2 -5x + 4) - (5x^3 - 7x + 4)\\f(x) - g(x) = 9x^3 + 2x^2 -5x + 4 -5x^3 + 7x -4\\f(x) - g(x) = 4x^3 + 2x^2 + 2x[/tex]
Translate this phrase into an algebraic expression: 4 less than the product of 7 and a number (x).
A. 4 - 7x
B. 7x - 4
C. 7(x - 4)
D. x/7 - 4
Answer:
B. 7x - 4
Step-by-step explanation:
A product of 7 and X means they will be multiplied. You can't subtract 4 until you know the product of 7 and X so that's why you subtract it after.
PLEASE HELP ASAP !!!what is the approximate volume of the cone use 3.14 for pi
Answer:
The volume would be 942
Cheers pal
Step-by-step explanation:
Answer: 942cm^3
Step-by-step explanation:
when we plot all the points that satisfy an equation or inequality we what it
Answer:
Step-by-step explanation:
We graph the function.
Final answer:
Plotting points that satisfy an equation or inequality creates a graph representing their relationship, with lines or curves like parabolas depending on the equation type.
Explanation:
When we plot all the points that satisfy an equation or inequality, we create a visual representation of the relationship between variables that are described by that equation or inequality. For instance, if the equation is linear and we plot its solutions on a graph, we will see a line. The y-intercept is an important feature of this line, indicating the point where the plot crosses the y-axis. In the case of a quadratic equation, plotting its solutions results in a parabola. If we want to determine whether the plot crosses a particular axis, such as the t-axis, we may need to analyze the discriminant (D) of the quadratic equation, which tells us whether the equation has real roots and, consequently, intersects with the axis.
What is 3,000 + 600 + 90 + 7 in standard form
your answer is 3,697
it is 3,697. just take the first digit in each number, put it in the proper place by combining them
what’s the solution to x-4y=-8 and 2x-3y=-16
Answer: [tex]x=-8\\y=0[/tex]
Step-by-step explanation:
You can apply the elimination method:
- Multiply the first equation by -2.
- Add both equations to cancel out the variable x.
- Solve for y:
[tex]\left \{ {{(-2)(x-4y)=-8(-2)} \atop {2x-3y=-16}} \right.\\\\\\\left \{ {{-2x+8y=16} \atop {2x-3y=-16}} \right.\\ ------\\5y=0\\y=0[/tex]
- Substitute y=0 into any of the original equations ans solve for x. Then:
[tex]x-4(0)=-8\\x=-8[/tex]
The answers are:
[tex]x=-8\\y=0[/tex]
Why?Since we have to equations, first we need to isolate one variable, and then substitute it into the other equation.
So, isolating x from the first equation we have:
[tex]x-4y=-8\\x=-8+4y[/tex]
Then, substituting "x" into the second equation, we have:
[tex]2(-8+4y)-3y=-16\\-16+8y-3y-=-16\\5y=-16+16\\5y=0\\y=\frac{0}{5}=0[/tex]
Therefore, substituting "y" into the first equation, we have:
[tex]x-4(0)=-8\\x-0=-8\\x=-8[/tex]
So, the solutions for the system of equation are:
[tex]x=-8\\y=0[/tex]
Have a nice day!
Which line represents the linear equation
–3y = 15 – 4x?
Answer:
This graph is a line passing for the points (15/4,0) and (0,-5)
Step-by-step explanation:
It doesnt matter other options, the system represents a line, so you all need to do is graph a line according to the given equation.
-3y=15-4x which can be written as y=-5+x*4/3
This equation have one crossing point with y axis (15/4,0) and other at (0,-5)
So just put a line passing these points and you are good to go.
can anyone help with the next part on this TBT please im really struggling please help with 6 and 8 please and please show work
Answer:
6. x=10
8. B
Step-by-step explanation:
6. The x intercept is when y=0
Let y=0
4x -5(0) = 40
4x = 40
Divide by 4
4x/4 = 40/4
x = 10
The x intercept is 10
8. f(0) means x=0
The point on the y axis is B
what is the solution to the equation |10-5y| =20
a) y=2
b) y=4
c) y=6
d) y=10
Answer:
The correct answer is option c) y = 6
Step-by-step explanation:
It is given that|10-5y| =20
Check each option
a) y = 2
|10 - 5y| = |10 - 5 * 2| = | 10 - 10 | = 0 ≠ 20
b) y = 4
|10 - 5y| = |10 - 5 * 4| = | 10 - 20 | = |-10| = 10 ≠ 20
c) y = 6
|10 - 5y| = |10 - 5 * 6| = | 10 - 30 | = |-20| = 20
d) y = 10
|10 - 5y| = |10 - 5 * 10| = | 10 - 50 | = |-40| ≠ 20
From the above result we get the correct answer is option c) y = 6
Answer:
The correct answer option is a) y =2.
Step-by-step explanation:
We are given the following equation and we are to find its solution:
[tex] | 1 0 - 5 y | = 2 0 [/tex]
Since the expression [tex]10-5y[/tex] is enclosed in a modulus, it means that its value cannot be negative, it has to be positive always.
[tex] 1 0 - 5 y = 2 0 [/tex]
[tex] -5 y = 2 0 - 1 0 [/tex]
[tex] -5 y = 1 0 [/tex]
Ignoring the negative sign because of mod.
[tex]y=\frac{10}{5}[/tex]
y = 2
What is Payment shock
Answer:
Step-by-step explanation:
Payment Shock is when there is a risk that future periodic payments of a loan increases and thus may put the borrower at risk of defaulting on the loan.
It can occur for many reasons, such as:
change of fixed interest rateexpiration of temporary initial interest rateincrease is ARM's indexed interest ratePeople are usually attracted to these mortgages because low initial monthly payments. But sometimes, these backfire on them because of reasons stated above and put them at risk when monthly payments rise above being comfortable.
Find the value of x rounded to the nearest tenth
Applying the angle bisector theorem, the value of x is: B. 5.3.
What is the Angle Bisector Theorem?An angle bisector divides an angle into two congruent halves. According to the angle bisector theorem, an angle bisector of a triangle divides the interior angles opposite sides in such a way that the corresponding lengths are proportional to each other. This means that the corresponding sides have ratios that are equal.
How to Apply the Angle Bisector Theorem to Find x?In the image given, applying the angle bisector theorem, we have the following proportion which we can use to find the value of x in the triangle given above:
6/x = 9/8 [according to the angle bisector theorem]
Cross multiply
(9)(x) = (6)(8)
9x = 48
Divide both sides by 9
9x/9 = 48/9
x = 5.333
Thus, to the nearest tenth, the value of x is approximately calculated as: B. 5.3
Learn more about the angle bisector theorem on:
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Given that the points (-3, 2) and (1, 2) are vertices of a square, what two sets of coordinates could form the other two vertices?
The given points have the same Y value.
Find the distance between the X values -3 to 1 is 4 units.
All sides of a square are the same length so the other points must be 4 units away.
Add 4 units to the Y values:
(-3,2) = (-3,(2+4)) = (-3,6)
(1,2) = (1,(2+4)) = (1,6)
Two other points to make a square could be (-3,6) and (1,6)
I need help, please! Also if you could tell me how to do it I’d be so thankful.
Simplify: -|-11|
A.
-1.1
B.
0
C.
-11
D.
11
Answer:
Just take out the two lines and make it stay a negative number!
Which is (c) -11
2 bar represents absolute value which is positive value of passed number.
so |-6| will give positive of 6 that it 6.
so after taking absolute value now you have a nagetive sign in front of value we obtained. so your number now become negative.
so
- (|-11| )= -(11) = -11
so answer is option C
I need help I’ve been trying to figure this one out could get it
Answer:
The result is 7.8 * 10^3
Step-by-step explanation:
When we are dividing in scientific notation, divide the numbers in front
7.8/1 = 7.8
Subtract the exponents on the powers of 10
10^(7-4) = 10 ^3
The result is 7.8 * 10^3
The units for surface areas will always be 1.quadrupled 2.quartered 3.squared 4.halved
Answer:
the answer is c, squared
Step-by-step explanation:
The units for surface areas will always be squared.
Thus, option (3) is correct.
The units for surface areas are always squared because they represent the measure of a two-dimensional space.
As, to calculate the surface area of an object, determining the total area of all its exposed sides, which involves measuring length and width (or height) and multiplying them together.
As a result, the units of surface area are expressed in square units, such as square inches (in²), square meters (m²), or square centimeters (cm²).
Learn more about Surface Area here:
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solve the equation: -4 (8+y) = 90
-32-4y=90
-4y=122
Y=-30.5
The solution is y =30.5
Step-by-step explanation:-4 (8+y) = 90
-32 - 4y = 90
Adding 32 on both sides
-32 - 4y +32 = 90 + 32
-4y = 122
or y = 30.5
Idk what the question meant. How would you do the area of a triangle
Answer:
750 sq. ft
Step-by-step explanation:
To understand the area of a triangle, we can start with the area of a rectangle. The area of a rectangle with some length (which I'll call L) and some width (which I'll call W) is just the product of those two values, L × W. How does this carry to triangles? Well we can take any triangle we want and draw a rectangle around it, using the base of the triangle as one of the rectangle's sides.
Now, the key here is to cut that original rectangle into two smaller ones, starting at the top point of the triangle. Notice now that half of the left rectangle is taken up by the orange triangle, and half of the right one as well. Putting those two together, we can say that the big orange triangle takes up exactly half of the green rectangle, or in other words, its area is (L × W) ÷ 2. Of course, when we talk about triangles, we use the words "base" (B) and "height" (H) rather than length and width, so you could also say that the area of a triangle is (B × H) ÷ 2.
Taking this into our problem, we're given a base of 100 ft and a height of 15 feet; using our newly-discovered equation, we find its area to be
(100 × 15) ÷ 2 = 1500 ÷ 2 = 750 sq. ft.
Question 2 (3 points) What is the length of the segment whose endpoints are A(2, -3) and B(10, 7)?
Answer:
[tex]d = \sqrt{164} = 12.8[/tex]
Step-by-step explanation:
We can find the distance using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We then substitute (2,-3) as [tex](x_1,y_1)[/tex] and (10,7) as [tex](x_2,y_2)[/tex].
[tex]d=\sqrt{(10-2)^2+(7--3)^2} \\d=\sqrt{(8)^2+(10)^2} \\d=\sqrt{64+100}\\d=\sqrt{164}=12.8[/tex]
The drama teacher wants to determine where the drama club should go to celebrate their final performance. Which of the following is Not a repersentative sample? Select all the apply
A- Students who do not act
B- Every 4th student selected from an alphabetical register of the club
C- Students who appear in the first act
D- Students whit supporting roles
E- Students whose names are randomly selected from a hat
Answer:
A- Students who do not act
B- Every 4th student selected from an alphabetical register of the club
E- Students whose names are randomly selected from a hat
Step-by-step explanation:
A drama teacher wants to decide where the drama club should go to celebrate their performance.
We are to determine whether which of the options is not a representative sample.
By definition, a sample which is the subset of the bigger population reflecting the characteristics is said to be a representative sample.
So the correct options are:
A- Students who do not act
B- Every 4th student selected from an alphabetical register of the club
E- Students whose names are randomly selected from a hat
Answer:
A- Students who do not act.B- Every 4th student selected from an alphabetical register of the club.E- Students whose names are randomly selected from a hat.Step-by-step explanation:
The objective is to determine where the drama club should go to celebrate their final performance.
In orther to achieve that objective, the sample must be representative. For example, the sample must be formed by students that actually acts.
Therefore, A, B and E are not representative samples because they don't act, every 4th student selected doesn't imply that all of them act, and selecting randomly names won't represents students that actually acts.
[tex]7b-3[/tex]
Which phrase describes the expression?
a. the difference of 7 plus and number b and 3
b. 7 times the difference of a number b and 3
c. 3 subtracted from the product of 7 and a number b
d. the product of 3 subtracted from 7 and a number b
The answer would be C
The phrase that describes the expression is 3 subtracted from the product of 7 and a number b
Given the expression 7b -3, we are to interpret the expression as a statement.
Let the unknown number in the expression is "b"7b represents the product of 7 and a number "b"7b -3 means that 3 is less than the product of 7 and a number "b"Hence the phrase that describes the expression is 3 subtracted from the product of 7 and a number b
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Estimate the answer to:
341 ÷ 0.28
340 divided by 0.3 = 1133.3
hope this helps xx
Find the value of x of the nearest tenth
Answer:
Step-by-step explanation:
It is unknow. This is because x can be any number.
How long is one side?
Answer:
3 in
Step-by-step explanation:
A cubes sides are all the same length. The volume is 27. We take the cube root of the volume to find one length. the cube root of 27 is 3 so one side length is 3.
A sandwich shop sells sandwiches for $5.95 each, including tax. The shop received a total of $71.40 from the sounds of sandwiches one afternoon. Which equation can be used to determine the number of sandwiches, X,sold by the the sandwich shop that afternoon?
A:5.95+x equals 71.40.
B:5.94 divided 71.40 equals.
C:5.95x equals 71.40
D:5.95 divided times equals 71.40.
Answer:
C
Step-by-step explanation:
5.95(x)=71.40
7140/595=12
5.95(12)=71.40
The correct equation to find the number of sandwiches sold, X, is C: 5.95X = 71.40, which shows a direct correlation between the price per sandwich and the total income.
The question asks which equation can be used to determine the number of sandwiches, X, sold by the sandwich shop one afternoon given that each sandwich is sold for $5.95 and the total revenue is $71.40. The correct choice is C: 5.95X = 71.40. This is because to find the number of sandwiches sold (X), we need an equation that relates the price per sandwich to the total income from selling X number of sandwiches. Here, each sandwich is $5.95, and when you multiply that by the number of sandwiches sold, you should get the total sales of $71.40. Therefore, the equation is 5.95X = 71.40, where you can solve for X to find the total number of sandwiches sold.
Venus has a mean distance from the sun of 67,240,000 miles while Mars has a mean distance from the sun of 4,213,000,000 miles. How much farther is Mars from the sun than Venus?
Step-by-step explanation:
The distance is How much mars is farther then the sun then VenusCaleb and 3 friends are sharing 1/4 quart of milk equally. What fraction of a quart of milk does each of the four friends get ?
4= 1/4
1/4x1/4 = 1/16
Answer: the person who answered this is wrong it’s 1/12.
1/4 divided by 3 (4 x 3=12, so 1/12)
Step-by-step explanation:
WILL GIVE BRAINLIEST ANSWER !! NEED HELP QUICK !!
Let P represent the statement "Mary works at the water park." Let Q represent the statement "Mary takes college classes."
Which symbolic notation represents the statement "Mary works at the water park or takes college classes." ?
A. P ∨ Q
B. P ∧ Q
C. P → Q
D. P ↔ Q
Answer:
The correct answer would be B.
Step-by-step explanation:
Answer:
I'd say the answer is B. P ∧ Q
Which equation can be used to find x?
[tex]\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ A=5\\ b=x\\ h=x-9 \end{cases}\implies 5=\cfrac{1}{2}(x)(x-9)[/tex]
what is the quotient 2 1/5 divided by - 1/10?
Answer:
-22
Step-by-step explanation:
Answer:
-22
Step-by-step explanation:
got it right on test