Answer:
[tex]\large\boxed{\dfrac{16a^4b^2c}{2abc}=8a^3b}[/tex]
Step-by-step explanation:
[tex]\dfrac{16a^4b^2c}{2abc}=\dfrac{16}{2}\cdot\dfrac{a^4}{a}\cdot\dfrac{b^2}{b}\cdot\dfrac{c}{c}=8a^3b[/tex]
PLEASE HELP I'll GIVE BRAINLIEST:
Jen slices a cone with a height of 10 centimeters and a radius of 4 centimeters using a plane that is perpendicular to the base and that passes through the vertex of the cone. What is the area of the cross-section in square centimeters?
Answer: [tex]40cm^2[/tex]
Step-by-step explanation:
A cross-section is the shape that results of the intersection of a plane with an abject.
When the cone is sliced by a plane perpendicular to the base and passes through the vertex, the cross-section obtained is a triangle.
The area of the triangle can be calculated with the formula:
[tex]A=\frac{b*h}{2}[/tex]
Where the base of the triangle is b and its height is h.
The base of the triangle is the diameter of the cone. Knowing the radius, the diameter is:
[tex]diameter=2*radius\\diameter=2*4cm\\diameter=8cm[/tex]
Then:
[tex]b=8cm[/tex]
The height ot this triangle is the height of the cone:
[tex]h=10cm[/tex]
So, by substituting into the formula you get the area of the cross-section in square centimeters:
[tex]A=\frac{(8cm)(10cm)}{2})=40cm^2[/tex]
Suze wants to make 5 pies for a party. She needs 1 1/2 cup of confectioners sugar for each pie. She has two bags of confectioners sugars in her pantry. One bad has 3 1/4 cups remaining and the other bag has 6 1/8 cups remaining. How many cups of confectioners sugar Suze have left after she prepares her pies?
Answer:
1 7/8 cups leftover
Step-by-step explanation:
The total amt. of sugar Suze needs is 5(1 1/2 cups) = 15/2 cups, or 7.5 cups.
Combining the 3 1/4 and 6 1/8 cups of sugar remaining in the bag results in 3 2/8 + 6 1/8 cups, or 9 3/8 cups total. She needs only 7.5 cups of this sugar.
Thus, she has leftover the following amount: 9 3/8 - 7 4/8 cups, which
simplifies to 1 7/8 cups
Total C.Sugar
3 1/4+6 1/8
=13/4 + 49/8
=26/8 + 49/8
=75/8 cups
Used C.Sugar
1 1/2 × 5
= 3/2 × 5
= 15/2 cups
Remaining C.Sugar
75/8 - 15/2
=75/8 - 60/8
=15/8
=1 7/8 cups
Answer
1 7/8 cups remaining
Greta jumps up 2 feet into the air. Her potential energy is 60 Joules. Her kinetic energy is 40 Joules. What is the total mechanical energy?
A. 1,200 Joules
B. 800 Joules
C. 100 Joules
D. 200 Joules
The mechanical energy will be 100 Joules
Step-by-step explanation:Mechanical energy is the sum of kinetic and potential energy in an object that is used to do work. In other words, it is energy in an object due to its motion or position, or both.
So
Mechanical energy = 60J + 40J
Mechanical energy = 100 Joules
Answer:
The correct answer option is C. 100 Joules.
Step-by-step explanation:
We are given that Greta jumps up 2 feet into the air. Her potential energy is 60 Joules while her kinetic energy is 40 Joules.
We are to calculate her total mechanical energy which will be the sum of her potential energy and her kinetic energy.
So we simply need to add the two given values of the energies.
Total mechanical energy = 60 + 40 = 100 Joules
What is an equation of the line that passes through the points (-1, 6) (−1,6) and (-1, -5) (−1,−5)
Answer:
x = -1
Step-by-step explanation:
You can write the equation of the line by finding the slope between the points and substitute it with a point into the point slope form.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{6--5}{-1--1} =\frac{11}{0} = und[/tex]
These points have a slope which is undefined. This means it is a vertical line that crosses through the x-axis at the x-coordinate of both points -1. The equation is x = -1.
Simplify to create an equivalent expression 6(7-3y)+6(y+1)
The answer and work is in the attched sheet!
Hope I helped~! :)
The simplified equivalent expression for 6(7-3y)+6(y+1) is -12y+48.
Explanation:To simplify to create an equivalent expression for 6(7-3y)+6(y+1), we first distribute within the parentheses.
This gives us: 42-18y+6y+6.
Next, we combine like terms (-18y and 6y; 42 and 6) to get -12y+48.
So, the simplified equivalent expression is -12y+48.
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what is the answer?
[tex]\bf \begin{array}{cll} \cfrac{1}{3}\\\\\cline{1-1}\\ \cfrac{1}{9}~~\cfrac{1}{9}~~\cfrac{1}{9} \end{array}\qquad \implies\qquad \cfrac{1}{3}=\cfrac{1+1+1}{9}\implies \cfrac{1}{3}= \cfrac{3}{9} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{cll} \cfrac{1}{4}\\\\\cline{1-1}\\ \cfrac{1}{8}~~\cfrac{1}{8} \end{array}\qquad \implies\qquad \cfrac{1}{4}=\cfrac{1+1}{8}\implies \cfrac{1}{4}= \cfrac{2}{8}[/tex]
If f (x)=x2and g(x)=c+6find g(f(0)
Answer:
6
Step-by-step explanation:
f (x)=x^2and g(x)=x+6 (I will assume you meant x not c)
The first step if to find f(0)
f(0) = 0^2 = 0
Now we find g(f(0))= g(0)
g(0) = 0+6 = 6
g(f(0) =6
If you meant c
Then g(f(0) = c+6
Find the radius of the circle whose equation is x² + y² = 4.
Answer:
Radius : 2
Step-by-step explanation:
Rewrite in standard form to find the radius.
Hope this helps,
Davinia.
The radius of the circle with the equation x² + y² = 4 is 2 units, calculated by taking the square root of the right-hand side of the equation.
The question requires us to find the radius of a circle given its equation. The standard form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. The given equation, x² + y² = 4, indicates that the circle is centered at the origin (0,0) and the radius is the square root of 4.
To calculate the radius, we take the square root of 4:
r = √4 = 2.
Therefore, the radius of the circle is 2 units.
brando had 15 pairs of kicks,then went nuts and bought a bunch more onlie.After they all showed up.he realized he had 84 pairs of shoes,and was trying to figure out how many pairs of shoes he bought online
Which equation can be used to solve the following system? x+y=11
4x^2-3y^2=8
Rearrange x + y = 11.
x = 11 - y
Substitute into other equation.
4(11 - y)^2 = 3y^2 = 8
Answer:
4(11 - y)^2 - 3y^2 = 8 (#2)
How long should u spend on your phone
Answer:
um dunno like 2 hours a day?
Step-by-step explanation:
2x, x representing day? So 2 days = 2*2 = 4 hours?
Answer:
3 hours a day
Step-by-step explanation:
If you are on your phone to much you could have eye problems when you grow up or other problems.
Find the volume of the figure: a cone with a square pyramid of the same height cut out. The pyramid has height l, and its square base has area l2.
Answer:
The volume of the figure is [tex]\frac{l^{3}}{3}[\frac{1}{2}\pi-1]\ units^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the figure is equal to the volume of the cone minus the volume of the square pyramid
step 1
Find the volume of the cone
The volume of the cone is equal to
[tex]V=\frac{1}{3}\pi r^{2} h[/tex]
we have
[tex]r=l\frac{\sqrt{2}}{2}\ units[/tex]
[tex]h=l\ units[/tex]
substitute
[tex]V=\frac{1}{3}\pi (l\frac{\sqrt{2}}{2})^{2}l[/tex]
[tex]V=\frac{1}{3}\pi (\frac{l^{3}}{2} )[/tex]
[tex]V=\frac{1}{6}\pi (l^{3})\ units^{3}[/tex]
step 2
Find the volume of the square pyramid
[tex]V=\frac{1}{3}Bh[/tex]
we have
[tex]B=l^{2}\ units^{2}[/tex]
[tex]h=l\ units[/tex]
substitute
[tex]V=\frac{1}{3}(l^{2})l[/tex]
[tex]V=\frac{1}{3}(l^{3})\ units^{3}[/tex]
step 3
Find the difference
[tex]\frac{1}{6}\pi (l^{3})-\frac{1}{3}(l^{3})=\frac{l^{3}}{3}[\frac{1}{2}\pi-1]\ units^{3}[/tex]
Find the area of a regular hexagon with a radius of 8 and an apothem of 4√3.
Round your answer to the nearest tenth.
Answer:
The area of the regular hexagon is [tex]166.3\ units^{2}[/tex]
Step-by-step explanation:
we know that
The regular hexagon can be divided into 6 equilateral triangles
so In this problem
The radius is equal to length side of the polygon
The area of the regular hexagon is equal to the area of six equilateral triangle
[tex]A=6[\frac{1}{2}(b)(h)][/tex]
we have
[tex]b=r=8\ units[/tex] ---> the base of each triangle is equal to the radius
[tex]h=4\sqrt{3}\ units[/tex] ---> the height of each triangle is equal to the apothem
substitute
[tex]A=6[\frac{1}{2}(8)(4\sqrt{3})]=96\sqrt{3}\ units^{2}[/tex]
[tex]96\sqrt{3}=166.3\ units^{2}[/tex]
A computer can produce a list of random numbers.
A. True B. False
The given statement "A computer can produce a list of random numbers" is true.
What is computer?"A computer is an electronic device which take input from the user as raw data, process the data into information, and gives output to the user."
What are random numbers?"Random numbers are numbers that occur in a sequence such that two conditions are met:
The values are uniformly distributed over a defined interval or set, and It is impossible to predict future values based on past or present ones.""Random numbers are important in statistical analysis and probability theory."
"Computers can generate truly random numbers by observing some outside data, like mouse movements or fan noise, which is not predictable, and creating data from it."
Hence, the correct option is A.
To learn more about random numbers and computer here
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Evaluate −9 − (−4).
5
−5
13
−13
Answer:
[tex]-5[/tex]
Step-by-step explanation:
We want to evaluate -9-(-4).
This is the same as [tex]-9+4[/tex].
We can again rewrite this as [tex]4-9[/tex]
Since we are subtracting a larger number from a smaller number, the result will be negative.
Therefore our expression evaluates to [tex]-5[/tex]
The second option is correct.
I NEED HELP AHHH-HHHHHHHHH HELP ME ASAP
Answer:
1/5, 1/3, 4/6
Step-by-step explanation:
First, find all the common denominators for these numbers. In this case, it's 30.
1/5 = 10/30
4/6 = 20/30
1/5 = 6/30
Now, you can see which ones are greatest and least.
1. 1/5 (least)
2. 1/3 (middle)
3. 4/6 (greatest)
Please Answer Again Lol I got One More After This And I'll Stop Asking And I'll Try Brainlist But If I can't Then I'll Still Say Thanks 10 Points
The request lacks the necessary details to determine the subject or educational grade level, and therefore an academic answer can't be provided.
Explanation:Unfortunately, the query you've provided does not contain enough context or specific content for me to determine neither the subject nor the educational grade level it pertains to. It appears to be a general request for assistance rather than a question related to an academic topic. For future inquiries, please ensure you include the question itself and any pertinent details that would enable me to provide a comprehensive, educational, and helpful response that directly addresses your academic needs.
−3n − 2m + 5n + 8m + 6n2
Please answer this?!!?
The number of terms:
A coefficient:
A pair of fractors:
Answer:
All together the expression is 6n2 + 6m + 2n.
The number of terms is 3.
A coefficient is 6, 6 or 2.
A factor is 2(3n2+3m + n)
Step-by-step explanation:
Simplify the expression by combining like terms. Like terms are terms which have the same base.
-3n -2m + 5n + 8m + 6n2
These are the like terms:
-3n + 5n = 2n
-2m + 8m =6m
6n2
All together the expression is 6n2 + 6m + 2n.
The number of terms is 3.
A coefficient is 6, 6 or 2.
A factor is 2(3n2+3m + n)
What would the budget be if he gets $44,000 annually. These are his expenses per month: $1,200 for rent. $600 for food. $350 for transportation. $150 for utilities. $300 for insurance. $400 for taxes. Im just confused on how to find out what the budget is so I can find the percent.
Answer:
Step-by-step explanation:
$1200+$600+$350+$150+$300+$400=$3000
=12*$3000=$36000
rent= 1200*100/3000=40%
food=600*100/3000=20%
trans=350*100/3000=11.7%
utilities=150*100/3000=5%
insurance=300*100/3000=10
taxes=400*100/3000=13.3%
What is the result of subtracting in the division problem shown below?
Answer:
The answer is 9x² - 6x - 1
Step-by-step explanation:
∵ (6x³ + x² - 10x - 1) - (6x³ - 8x² - 4x) =
0 + 9x² - 6x - 1 = 9x² - 6x - 1
Answer:
The result is : [tex]9x^{2} -6x-1[/tex]
Step-by-step explanation:
The given terms to be subtracted are ;
[tex]6x^{3}+x^{2} -10x-1[/tex] and
[tex]6x^{3}-8x^{2} -4x[/tex]
So, subtracting each term to be more clear we get:
[tex]6x^{3}-6x^{3}=0[/tex]
[tex]x^{2} -(-8x^{2} )=x^{2} +8x^{2} =9x^{2}[/tex]
[tex]-10x-(-4x)=-10x+4x=-6x[/tex]
[tex]-1+0=-1[/tex]
So, the answer will be :
[tex]9x^{2} -6x-1[/tex]
Please answer and work it out and round to the nearest tenth. Thank you!
The length of UV is 6 in because it is parallel to WX.
Find the length of TV:
[tex]TV^{2} =\sqrt{TU^{2} +TV^{2}}[/tex]
[tex]TV^{2} =\sqrt{12^{2} +6^{2}}[/tex]
[tex]TV^{2} =\sqrt{144+36}[/tex]
[tex]TV^{2} =\sqrt{180}[/tex]
[tex]TV =6\sqrt{5} = 13.41640786[/tex]
The length of VX is 9 in because it is parallel to UW.
[tex]TX^{2} =\sqrt{TV^{2} +VX^{2}}[/tex]
[tex]TX^{2} =\sqrt{180 +9^{2}}[/tex]
[tex]TX^{2} =\sqrt{180 +81}[/tex]
[tex]TX^{2} =\sqrt{261}[/tex]
[tex]TX =16.15549442[/tex]
TX = 16.2 inchesThe value of TX is 15 in
Step-by-step explanation:According to Pythagoren theorem
Hyp² = Base² + Perp²
Putting the values
Hyp² = 12² + 9²
Hyp² = 144 + 81
Hyp² = 225
taking square root on both sides
Hyp = 15
The temperature in a city was recorded over a ten-hour period. The graph below shows the relationship between the temperature and the number of hours.
Which statement best interprets information provided by the graph?
A. The temperature in the city increased for some time and decreased for some time.
B. The temperature remained constant for a while.
C. The temperature in the city increased throughout the period.
D. The temperature in the city increased at a constant rate for the entire time.
Answer:
A
Step-by-step explanation:
From the graph, we can see that the temperature increased initially, then started to decrease. All of these NOT in a constant rate, though.
Roughly, the temperature was increasing from start till around 5.5 hours. Then on the temperature decreased.
So we can eliminate B, C, and D. That leaves us with correct answer as A.
To the nearest square unit, what is the area of the regular octagon shown below?
Answer:
B. 1395 square units.
Step-by-step explanation:
We have been given an octagon. We are asked to find the area of the given regular octagon.
[tex]\text{Area of octagon}=\frac{a\cdot p}{2}[/tex], where,
a = Apothem,
p = Perimeter.
Let us find apothem of octagon by multiplying 17 by 8.
[tex]\text{Perimeter}=8\times 17[/tex]
[tex]\text{Perimeter}=136[/tex]
Upon substituting our given values in area formula, we will get:
[tex]\text{Area of octagon}=\frac{20.52\times 136}{2}[/tex]
[tex]\text{Area of octagon}=\frac{2790.72}{2}[/tex]
[tex]\text{Area of octagon}=1395.36\approx 1395[/tex]
Therefore, the area of our given octagon is 1395 square units.
hello plz help it’s urgent
1: Expression: 4500-2000
Answer: 2500 left to go
2: Expression: 20x
Answer: 40 centimeters
3: Expression: You can easily write and evaluate an expression based off of the terms/values used in the problem. If Stacy runs 5 miles and wants a goal of 10 miles, the expression would be 10-5 or 5+5. If Tom wants to give each of his 4 friends 2 cookies, the expression would be 4 • 2 (multiplication). If Jonny wants to give his sister half of his 50 cards, the expression would be 50 divided by 2
Answer:
d. expression: 4500 - 2000 = , amount left to go : 2500
e. expression : 20×2= , amount rattlesnake grows in 2 years: 40
Step-by-step explanation:
Quincy feeds his dog 2.75 cups food each day each cup of dog food costs $1.25. He multiplies the numbers together to determine how much it costs to feed his dog each day. Which expression will result in the best estimate for Quincy to use to check his multiplication?
2times1 because 2.75 take the 75 off and 1.25 take the 25 off so you multiply 2 and 1 so 2times1 equals 2
Answer:
C) 3 x 1
Step-by-step explanation:
First, you round 2.75 to 3 because of the rounding rule- "If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up." Then you round 1.25 to 1 because of the rounding rule. Then you get 3 x 1!
Hope this helps-
maggbaron765
The scores of eighth-grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5. From this data, we can conclude that 68% of the students received scores between
Answer:
51 and 64
Step-by-step explanation:
The Empirical Rule states that 68% of normally distributed data lies within one standard deviation of the mean.
Hence, if the mean is 57.5, one standard dev. above that is 57.5+6.5, or 64, and one standard dev. below the mean is 57.5-6.5 = 51.
Thus,
we can conclude that 68% of the students received scores between 51 and 64.
Final answer:
Approximately 68% of the eighth-grade students received scores between 51 and 64.
Explanation:
In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. So, in this case, 68% of the eighth-grade students received scores between the mean of 57.5 minus one standard deviation of 6.5 and the mean plus one standard deviation.
Calculating the range:
57.5 - 6.5 = 5157.5 + 6.5 = 64Therefore, we can conclude that approximately 68% of the students received scores between 51 and 64.
all real numbers that greater than -6 but less than 6
This means that everything in between those numbers is correct
90/100÷15 having issues with this problem
[tex]You're \ asking: 90/100 \ divided \ by \ 15.\\\\Let's \ do \ this \ together \ in \ steps!\\\\Divide.\\9/10 \ divided \ by \ 15.\\\\Make \ a \ fraction.\\\\9/10 \ x \ 1/15\\\\Simplify.\\\\9x1/10x15\\\\Simplify.\\\\9/150\\\\Simplify.\\\\\fbox{3/50}\\\\\bold{Thanks \ for \ using \ Brainly!}[/tex]
How do I solve this complicated problem?
help me asap i need to do tangent ratio !!!
QUESTION 1
The tangent ratio is the ratio of the length of the opposite side of the length of the adjacent side.
From ΔVWX,
[tex]\tan(X)=\frac{VW}{WX}[/tex]
From ΔYZX,
[tex]\tan(X)=\frac{YZ}{XZ}[/tex]
[tex]\therefore \tan(X)=\frac{VW}{WX}=\frac{YZ}{XZ}[/tex]
QUESTION 2
We use the tangent ratio to obtain;
[tex]\tan(V)=\frac{Opposite}{Adacent}[/tex]
[tex]\tan(V)=\frac{WX}{VW}[/tex]
QUESTION 3
From ΔVWX,
[tex]\tan(X)=\frac{VW}{WX}[/tex]
We take the inverse tangent of both sides to obtain;
[tex]X=\tan^{-1}(\frac{VW}{WX})[/tex]
[tex]\therefore \tan^{-1}(\frac{VW}{WX})=X[/tex]
QUESTION 4
From ΔVWX,
[tex]\tan(V)=\frac{WX}{VW}[/tex]
Taking the inverse tangent of both sides, we obtain;
[tex]V=\tan^{-1}(\frac{WX}{VW})[/tex]
[tex]\therefore \tan^{-1}(\frac{WX}{VW})=V[/tex]
QUESTION 5.
We know that
[tex]\tan(V)=\frac{WX}{VW}[/tex]
and
[tex]\tan(X)=\frac{VW}{WX}[/tex]
[tex](\tan X)(\tan V)=(\frac{VW}{WX})(\frac{WX}{VW}=1[/tex]
QUESTION 6.
[tex]\tan^{-1}(\frac{VW}{WX})=X[/tex]
[tex]\tan^{-1}(\frac{WX}{VW})=V[/tex]
This implies that;
[tex]\tan^{-1}(\frac{VW}{WX})+\tan^{-1}(\frac{WX}{VW})=X+V[/tex]
QUESTION 7
[tex]\tan 23\degree =0.4244[/tex]
We round to the nearest 0.01 to obtain;
[tex]\tan 23\degree =0.42[/tex]
QUESTION 8
[tex]\tan 43\degree =0.9325[/tex]
We round to the nearest 0.01 to obtain;
[tex]\tan 43\degree =0.92[/tex]
QUESTION 9
[tex]\tan ^{-1} 0.14=7.9696\degree[/tex]
We round to the nearest 0.01 to obtain.
[tex]\tan ^{-1} 0.14=7.97\degree[/tex]
QUESTION 10
[tex]\tan ^{-1} 1=45.00\degree[/tex]
QUESTION 11
[tex]\tan ^{-1} 0.14=7.97\degree[/tex]
This implies that;
[tex]\tan 7.97\degree=0.14[/tex]
QUESTION 12
[tex]\tan ^{-1} 1=45.00\degree[/tex]
This implies that;
[tex]\tan 45.00\degree=1[/tex]