Answer:
C≈31.42in
Step-by-step explanation:
Answer:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * 3.14 * 5
C =31.4 inches
Solve the system of linear equations by elimination.
-y-10 = 6
5x +y = -10
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(65,−16)
Equation Form:
x=65,y=−16
Step-by-step explanation:
Hey there!
The solution to the given system is (0, -10)
To solve using elimination, we have to add the equations together, and the "y"s will cancel out, and then solve the equations:
5x - 10 = 6x - 10
Now solve.
Add "10" to both sides:
5x = 6x
Subtract "5x" from both sides
0 = x
Now, we plug in the solved "x" value in an equation to solve for "y".
5(0) + y = -10
y = -10
We now know that the solution to the given system is (0, -10)
Hope this helps! Have an amazing day, and remember, you've got this!!
I NEED HELP PLEASE !!!
Answer:
14
Step-by-step explanation:
Just add both the numbers as positive to get total length since one is negative
5.3+8.7=14
Answer:
The length of the segment is 14.
Step-by-step explanation:
8.7 - (-5.3) = 14.
An easier way to do this is just by counting backwards kinda on the number line.
6.
Which expression represents the volume of the composite figure
formed by a hemisphere with radius r and a cube with side length 2r?
Answer:
A. [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)
Step-by-step explanation:
A composite figure is formed by two or more shapes in contact.
Volume of a cube = [tex]l^{3}[/tex]
where l is the length of its sides.
Given that l = 2r, then;
volume of the cube = [tex](2r)^{3}[/tex]
= 8[tex]r^{3}[/tex]
volume of the cube = 8[tex]r^{3}[/tex]
For a hemisphere, volume = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
Also,
volume of the hemisphere = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
So that,
volume of the composite figure = volume of the cube + volume of the hemisphere
= 8[tex]r^{3}[/tex] + [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]r^{3}[/tex](8 + [tex]\frac{2}{3}[/tex][tex]\pi[/tex])
volume of the composite figure = [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)
If f(x) = 2/3 x-6, what is the value of f(-9)?
Answer:
-12
Step-by-step explanation:
f(-9) = 2/3(-9) + (-6)
f(-9) = -6 + (-6)
A doctor collected data on how many hours children of different ages slept in a day. Data for 5 participants are
shown below.
The answers is the picture I posted. I did in khan academy and it was right.
The data values of the scatter plot are (x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)
How to represent the table on a scatter plot?The table of values is given as:
x: 1 2 3 5 8
y: 13 11 10 9 8
This means that the data values are:
(x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)
See attachment for the scatter plot
Read more about scatter plots at:
https://brainly.com/question/6592115
If the parent function is fx) = x^3 which transformed function is shown in the graph?
A. g(x) = (x-3)2
B. g(x) = (x+3)^3
C. g(x) = x^3 + 3
D. g(X) = x^3-3
Answer:
g(x) = (x-3)³ is the transformed function.
Step-by-step explanation:
Horizontal shift:
If f(x) is the parent function.
Then horizontal shift can be expressed as:
, will shift left units.
[tex]y = f(x - c)[/tex], will shift [tex]f(x)[/tex] right c units.
Given the parent function
f(x) = x³
From the graph, it is clear that the transformed function is indicating that the parent function has been horizontally shifted right 3 units.
Therefore, according to the rule, [tex]y = f(x - c)[/tex]:
g(x) = (x-3)³ is the transformed function.
From the graph,
The Red graph indicates the parent function i.e. f(x) = x³ The Blue graph indicates the transformed function i.e. g(x) = (x-3)³It is clear that the blue graph is obtained when the parent function has been horizontally shifted right 3 units.
Therefore, g(x) = (x-3)³ is the transformed function.
Find the difference. Write your answer in scientific notation. (1.5 x 10^4) - (7.6 x 10^3) =
Answer:
The answer is 7.4 × 10³ ( or 0.74 × 10⁴).
Step-by-step explanation:
The steps are :
(1.5 × 10⁴) - (7.6 × 10³)
= (15 × 10³) - (7.6 × 10³)
= (15 - 7.6) × 10³
= 7.4 × 10³
Can someone help me with this to?
Melissa buys 2.5 pounds of salmon and 1.25 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $ 0.20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish?
how do i solve this? and i have to show my work so help pls
Answer:
1. x-intercept = 3/-5 = -0.60000
y-intercept = 3/1 = 3
2. x-intercept = 3/3 = 1
y-intercept = 3/1 = 3
Step-by-step explanation:
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-5x-3 = 0 and calculate its properties
When y = 0 the value of x is 3/-5 Our line therefore "cuts" the x-axis at x=-0.60000
Patients with Alzheimer's disease are randomly divided into two groups. One group is given a new drug, and the other is given a placebo. After six months they are given a memory test to see whether the new drug fights Alzheimer's better than a placebo.
Answer:
This is a controlled experiment.
Step-by-step explanation:
A controlled experiment is one in which all variables are kept constant except one, which is the independent variable. The samples are divided into the experimental and the control groups. The control group is the normal state of the condition being tested and would be compared to the experimental groups to check for changes.
In the experiment above, the experimental group is given the new drug while the group that was administered the placebo is the control group. The two groups are compared after six months to check for changes.
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
(please look at the photo)
Answer:
8% increase
Step-by-step explanation:
The length after the increase:
30 x 1.1 = 33cm
The width after the increase:
20 x 1.05 = 21cm
New perimeter:
2(33 + 21) = 108 cm^2
Old perimeter:
2(30 + 20) = 100 cm^2
Percentage increase of area:
108 / 100 = 1.08 = 8% increase
Answer:
length_20 cm breadth_30 cm
Step-by-step explanation:
width of the rectangular_ 5/:. length of rectangular_10/:. primeter of rectangular_? now perimeter of rectangular_2(l+b). 2(20+30) __100#
What is the value of y?
Answer:
[tex] {y} = 6\sqrt{3} \:units [/tex]
Step-by-step explanation:
By Pythagoras Theorem:
[tex] {y}^{2} = {(9 + 3)}^{2} - {(6)}^{2} \\ \\ {y}^{2} = {(12)}^{2} - {(6)}^{2} \\ \\ {y}^{2} = 144 - 36 \\ \\ {y}^{2} = 108 \\ \\ {y} = \sqrt{108} \\ \\ {y} = \sqrt{36 \times 3} \\ \\ {y} = \sqrt{ {6}^{2} \times 3} \\ \\ {y} = 6\sqrt{3}\:units [/tex]
which of the following Best expresses how a bill introduced
In Mr. Romano’s class, 40% of the students like baseball. If 14 of his students like baseball, how many students are in Mr. Romano’s class?
Answer:
35 Students
Step-by-step explanation:
So if 40% of the students like Baseball and that there are 14 students in the class room.
Another way to interpret this is that you can divide 14 by 40% to find the total amount.
This gets you: 14 divided by 0.40 = 35 Students
Write an algebraic equation and solve. Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25. What is the price of 1 orange?
Answer:
The cost of 1 orange is $2.05.
Step-by-step explanation:
Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25.
Cost of 5 oranges = $5x
Cost of 2 packs of strawberries = 2×5 = $10
ATQ,
5x + 10 = 20.25
Subtract 10 both sides
5x + 10 -10 = 20.25-10
5x = 10.25
x = 2.05
So, the cost of 1 orange is $2.05.
pls help with the answer asap thank ypu
Answer:
3(2x+1)+2(x+4)
=6x+3+2x+8
=6x+2x+3+8
=8x+11
Select the correct answer.
Which expression is equivalent to this polynomial expression?
(2x5 + 3y4)(-4x2 + 9y4)
Answer:
Is the A
Step-by-step explanation:
The correct option is option A i.e., [tex]-8x^{7} + 18y^{4}x^{5} - 4x^{2}y^{4} + 27y^{8}[/tex].
A polynomial expression [tex](2x^{5} + 3y^{4}) (-4x^{2} + 9y^{4})[/tex] is given.
We have to find out which option is equivalent to the given expression.
What do you mean by the polynomial expressions ?
A polynomial expression is the algebraic expression that consist of variables and coefficients.
As per the question ;
The given expression is ;
[tex](2x^{5} + 3y^{4}) (-4x^{2} + 9y^{4})[/tex]
Let's solve this expression.
i.e.,
= [tex](2x^{5} + 3y^{4}) (-4x^{2} + 9y^{4})[/tex]
= [tex]-8x^{7} + 18y^{4}x^{5} - 4x^{2}y^{4} + 27y^{8}[/tex]
So , the correct option is A.
Thus , the correct option is option A i.e., [tex]-8x^{7} + 18y^{4}x^{5} - 4x^{2}y^{4} + 27y^{8}[/tex].
To learn more about polynomial expressions click here ;
brainly.com/question/26685427
#SPJ2
The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?
Answer:
6; 8; 10
Step-by-step explanation:
First side: x
Second side: x+2
Third side: x+4
x + x + 2 + x + 4 = 24
3x + 6 = 24
3x = 18
x=6
First side: 6
Second side: 8
Third side: 10
An object dropped from a height of h feet will take t seconds to fall all the way to the ground, according to the
following equation.
16t2 - h = 0
The Eiffel Tower in Paris, France is 900 feet tall.
How many seconds will it take an object dropped from that height to fall all the way to the ground?
Answer:
7.5 seconds.
Step-by-step explanation:
16t^2 - h = 0
16t^2 - 900 = 0
t^2 = 900/16
t = √900/√16
= 30/4
= 7.5 seconds.
Andrew walked 24 laps during a walkathon to raise money for his school's art department. Each lap was 1 4 of a mile, and Andrew's dad donated $5.25 for every mile that Andrew walked. How much money did Andrew's dad donate? $
Answer:
Given:
Andrew walked during a walkathon to raise money= 24 laps
Each lap= [tex]\frac{1}{4}[/tex] of a mile
Andrew's dad donated= $5.25 for every mile
Step-by-step explanation:
Total money donated by Andrew's dad=Andrew walked x each lap distance x donated money
=24 x [tex]\frac{1}{4}[/tex] x 1 x 5.25
=6 x 5.25
= $31.50
Simplify. Remove all perfect squares from inside the square root. V75 =
Answer:
5√5
Step-by-step explanation:
You can rewrite √75 as √(25 * 5) and since 25 is a perfect square, you can find the square root and take that outside of the square root. √25 = 5, so √75 is equal to 5√5, and that cannot be simplified furthermore.
Addison worked 11 more hours this week than last week. In total, she worked 65 hours this week and last week. Using the equation 2h + 11 = 65, how many hours (h) did Addison work last week?
Answer:
27 hours
Step-by-step explanation:
Just do the reverse. 65-11 = 54. 54 / 2 = 27.
Henry's family members choose numbers to assign
chores. The person who draws the highest number is the
first to select a chore. The numbers 1 through 10 are
written on pieces of paper. All numbers are equally likely to
be chosen.
What is the probability that the first person will choose a number greater than
6?
A10
6
B4
10
C6
10
D10
4
Wang Xiu Ying has 109109109 dollars in her savings account. She has -21−21minus, 21 dollars in her checking account. Write an inequality that correctly compares the account values.
Answer:
[tex]-21 < 109[/tex]
Step-by-step explanation:
Given
[tex]Savings = \$109[/tex]
[tex]Checking = -\$21[/tex]
Required
Represent as an inequality
On a number line -21 comes before 109 (from left to right)
This means that -21 is smaller/lesser than 109.
So, the inequality that compares the two account values is:
[tex]-21 < 109[/tex]
Evaluate following expression 6x4+2x9/3 HELPP
Answer:
30
Step-by-step explanation:
6*4+2*9/3
24+2*9/3
24+6
30
how do you do this , i need help!!
Answer:
i dont know
Step-by-step explanation:
Answer:
112º
Step-by-step explanation:
(you may need a calculator for this)
first let's start with what we know, we know a triangle has 180º. We also know a line has 180º. if you know the line has 180º, then ? + 126 º = 180º. so if you subtract 126 from 180, you get 54. now lets look at the triangle, we know the triangle has 180º in total. we already know one angle is 58º, and we just figured out the other is 54º. if you do 54+58, you get 112. remember, the triangle has 180 degrees in total, and two of them equal 112º, so 180 - 112 is 68. almost there! now we have to do the line trick again, because on the line, 68 + x = 180. 180- 68 is 112, so the answer is 112º. Hope this helps :D
When dilating a triangle, to enlarge the triangle you must use a scale factor that is:
A) a number > 1
C) a number = 1
B) a number < 1
D) a number = 0
Answer:
is D
Step-by-step explanation:
because it's the answer
Answer:
o
Step-by-step explanation:
scale factor= 0..........
Please answer if so you get brainliest
open notes and think about it
please help me please will give brainliest to anyone
Answer:
[tex]x^4+x^2-12[/tex]
Step-by-step explanation:
We'll write the polynomial using only the roots required to simplify calculations. However, it states the final answer should not have a radical or complex number in. Therefore, we need to rid them:
[tex](x+\sqrt{3})(x-\sqrt{3})(x-2i)(x+2i)[/tex]
Expanding this, we get:
[tex](x^2-3)(x^2+4),\\\fbox{$x^4+x^2-12$}[/tex].