Answers
Answer:
I believe it is C
Step-by-step explanation:
According to the 30-60-90 rules for the length of the sides. the short leg is x the long leg is xsquareroot3 and the hypotenuse is 2x. Following that rule, A is 3square root 3 and b is 3
Related Questions
what is the value of
[tex] \frac{7}{3} \div \frac{5}{6} [/tex]
Answers
Can you help me please?
Answers
Answer:
D
Step-by-step explanation:
Gladys scored 42 points in a basketball game. She only took 2-point shots and 3-point shots. She made a total of 18 shots. Write a system of equations to find the number of 2-point shots and 3-point shots Gladys made. Let LaTeX: xx represent the number of 2-point shots and LaTeX: yy represent the number of 3-point shots that Gladys made.
Answers
Answer:
[tex]x+y=18 \\2x+3y=42[/tex]
Number of 2-point shots taken = 12
Number of 3-point shots taken = 6
Step-by-step explanation:
Total number of points scored by Gladys = 42
Only 2-point and 3-point shots are taken by Gladys.
Let number of 2-point shots taken = [tex]x[/tex]
Let number of 3-point shots taken = [tex]y[/tex]
Total number of shots taken = 18
Therefore, first equation can be written as:
[tex]x+y=18[/tex]
Total points scored = 42
Therefore, second equation can be written as:
[tex]2x+3y=42[/tex]
System of equations is:
[tex]x+y=18 .... (1)\\2x+3y=42 .... (2)[/tex]
Using elimination method to solve the system of equations.
Multiplying equation by 2 then subtracting it from equation (2):
[tex]3y - 2y = 42 - 36\\\Rightarrow y = 6[/tex]
By equation (1):
[tex]x+6=18\\\Rightarrow x = 12[/tex]
Therefore, Number of 2-point shots taken = 12
Number of 3-point shots taken = 6
Differentiate Vx(x + 2) with respect to x.
Answers
Answer:
[tex]y'= \frac{3x+2}{2\sqrt{x} }[/tex]
General Formulas and Concepts:
Calculus
The derivative of a constant is equal to 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Product Rule: [tex]\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]y=\sqrt{x} (x+2)[/tex]
Step 2: Rewrite
[tex]y=x^{\frac{1}{2} } (x+2)[/tex]
Step 3: Differentiate
Product Rule [Basic Power/Chain Rule]: [tex]y'= \frac{1}{2} x^{\frac{1}{2} -1}(x+2)+x^{\frac{1}{2} }(1)[/tex]Simplify: [tex]y'= \frac{1}{2} x^{\frac{-1}{2}}(x+2)+x^{\frac{1}{2}}[/tex]Rewrite: [tex]y'= \frac{x+2}{2\sqrt{x} } + \sqrt{x}[/tex]Add: [tex]y'= \frac{3x+2}{2\sqrt{x} }[/tex]pls helppp
math work
bleh
Answers
Answer:
m = -10
Step-by-step explanation:
>:)
Answer:
m= -10
Step-by-step explanation:
2< -7 - (-10)
2< -7 + 10
2< 3
The mean of 30 numbers is 18. What will be the new mean, if each observation is
increased by 2.
Answers
Answer:
The new mean will be 20.
Step-by-step explanation:
The Mean Value of a Data Set
The mean or average of a data set is found by adding all numbers and then dividing by the number of values in the set. Written as a formula:
[tex]\displaystyle \bar x=\frac{\sum x_i}{n}[/tex]
Where xi is the value of each data and n is the total number of values.
The mean of n=30 numbers is [tex]\bar x=18[/tex]. If each observation is increased by 2, then xi'=xi+2 and the new mean value will be:
[tex]\displaystyle \bar x'=\frac{\sum x'_i}{30}[/tex]
[tex]\displaystyle \bar x'=\frac{\sum x_i+2}{30}[/tex]
[tex]\displaystyle \bar x'=\frac{\sum x_i}{30}+\frac{\sum 2}{30}[/tex]
The sum of 30 times 2 is 60, thus:
[tex]\displaystyle \bar x'=18+\frac{60}{30}=18+2=20[/tex]
The new mean will be 20.
A student has a container with a volume of 2.5 liters. She estimates the volume to be 2.2 liters. By
what percent is the student's estimate off?
Answers
Answer: The student's estimate is off by 12%
Plainfield Community Center is buying new seating for their building. They want to purchase a combination of stools and chairs. Stools cost $50 and chairs cost $65. The center cannot spend more than $3000.
Which inequality represents all possible combinations of s stools and c chairs?
50s+65c≤3000
50c+65s≥3000
50s+65c<3000
50c+65s≤3000
Answers
Answer:
D) 50s + 65c ≤ 3000
Step-by-step explanation:
50s represents the stools and 65c represents the chairs
you can't go over 3000 and so this is the only answer that makes sense.
Answer:
The answer is D) 50s + 65c ≤ 3000!
Step-by-step explanation:
I just took the test and i got 100%. Hope this helps! :]
find the equations that describe the circle of radius 3 centered at (9, 2, 1) that is parallel to the xy-plane.
Answers
The equation that describe the circle of radius 3 centered at (9, 2, 1) that is parallel to the x y-plane is (x - 9)² + (y - 2)² = 9.
We know that the given coordinates correspond to a sphere.
The x, y coordinates for our search for a circle parallel to the x-y plane are (x, y) = (9, 2)
The circle's standard equation is (x - h)²+ (y - k)² = r², where h and k are the circle's x and y coordinates, respectively, and r is its radius.
So, we have:
h = 9 ;
k = 2 ;
r = 3;
the solution is (x - 9)² + (y - 2)² = 9.
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Which statements are true? Select the two correct answers.
The square root of a positive number greater than 1 is less than the number,
The square root of a positive number is always less than half of the number itself.
The square root of a positive number less than 1 is less than the number.
The square root of a perfect square is not a whole number.
The square root of a positive number less than 1 is between 0 and 1.
Answers
the person ontop is wrong its a and e
Step-by-step explanation:
:)
What is 5×10+4×1+8×110+6×1100+1×11,000 ?
Answers
Answer:
18534 is the answer of this question
Which expression is equivalent to
2(3g-4)-(8g + 3)?
1) -2g - 1
2) -2g - 5
3) -2g -7
4) -29 - 11
Answers
Answer:
4) -2g - 11
Step-by-step explanation:
2(3g-4)-(8g + 3) =
6g - 8 - 8g - 3 =
- 2g - 11
twice the difference of a number and 3 is 5.
Answers
Answer:
2(3-n)=5
Step-by-step explanation:
f(x) = -x^2 – 10x find f(-5)
Answers
Answer:
f(-5)=-(-5)^2 - 10(-5) = 25
Step-by-step explanation:
The value of f(-5) is 25 when x = -5
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that
⇒ f(x) = -x² – 10x
To determine the value of f(-5)
Substitute the value x = -5
⇒f(-5 ) = -(-5)² - 10(-5)
⇒f(-5 ) = 25
Hence, the value of f(-5) is 25 when x = -5
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The function f(t) = 750t + 20,000 models the number of movie theaters in the United States t years after 1985. Use this equation to predict the year in which the United States will have 35,000 movie theaters.
Answers
Given:
The function models the number of movie theaters in the United States t years after 1985.
[tex]f(t)=750t+20,000[/tex]
To find:
The year in which the United States will have 35,000 movie theaters.
Solution:
We have,
[tex]f(t)=750t+20,000[/tex]
Putting f(t)=35000, we get
[tex]35,000=750t+20,000[/tex]
[tex]35,000-20,000=750t[/tex]
[tex]15,000=750t[/tex]
Divide both sides by 750.
[tex]\dfrac{15,000}{750}=t[/tex]
[tex]20=t[/tex]
It means, United States will have 35,000 movie theaters 20 years after 1985.
[tex]1985+20=2005[/tex]
Therefore, United States will have 35,000 movie theaters is 2005.
The surface area of a solid is 4500 square inches. Is the surface area greater than 3 square yards
Answers
If the surface area of the solid is 4500 square inches, then the surface area of the solid is greater than 3 square yards
What are areas?The area of a shape is the amount of space on the shape.
For most regular quadrilaterals, the area is the product of the length and the width of the quadrilateral
Is the surface area greater than 3 square yards?The surface area of the solid is given as
Surface area = 4500 square inches
As a general rule of unit conversion
1 square inches = 1/1296 square yards
Next, we multiply both sides of the equation by 4500
So, we have
4500 * 1 square inches = 4500 * 1/1296 square yards
Evaluate the products in the above equation
4500 square inches = 3.5 square yards
3.5 square yards is greater than 3 square yards
Hence, the surface area of the solid is greater than 3 square yards
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help! what is the equation of the line??!
Answers
Answer: y=-1/3-2
Step-by-step explanation:
slope=-1/3
y intercept=-2
16 - 3x = 4 + x
solve please
Answers
Answer:
x = 3
Step-by-step explanation:
Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3
29. JK, given J(-3, 5) and K(2, -5)
Domain
Range
Answers
Answer:
I think, the domain would be the x values and range would be the y values.
Domain - [-3 , 2]
Range - [-5 , 5]
I hope you get this right.
Pls I need help plsssss
Answers
Answer:
The first option!
Step-by-step explanation:
2 2/3 but brainliest? Thanks!
if you answer correct you get brainliest!
Answers
Answer:
The correct answer is D.) y = -2x-3
Step-by-step explanation:
You can solve the given equation y - 5 = -2(x + 4):
y - 5 = -2(x + 4) simplify the right side
y - 5 = -2x - 8 add 5 to both sides
y = -2x - 3
Hope it helps! have a great day! :)
Answer:
D
Step-by-step explanation:
solve whats in ( ) first y-5= -2x -8
move the constant to the right y = -2x - 8+5
(5 is the constant )
add the sums y= -2x -3
This is actually the slope intercept form
-3(x+5) - (2x+3) equals
Answers
-5x,-18
i hope im right im not quite sure bout this one
What percent 284 of is 71?
Answers
Answer:
It's 25
Step-by-step explanation:
( 7- 4 ) ÷ 9 of (8÷2×3)
Answers
Answer:
-3 and 12
Step-by-step explanation:
but I'm not sure about your question when you say of is that supposed to be a and if it is a and then its -3 and 12
Answer:8/27
Step-by-step explanation:
(7-4)÷9 of (8÷2×3)
3÷9 of 8÷6
Please help!!
The options for both of these is right here!
Card A:
16
6
90
9
Card B: Card B *
QR
TU
RS
ST
Answers
Given:
Triangle ABC is similar to triangle EFG.
Pentagon ABCDE is similar to pentagon QRSTU.
To find:
The length of segment FG.
The missing value in [tex]\dfrac{D}{EA}=\dfrac{?}{UQ}[/tex].
Solution:
In card A,
AC = 15 in.
BC = 9 in.
EG = 10 in.
Triangle ABC is similar to triangle EFG. So, the corresponding sides are proportional.
[tex]\dfrac{AC}{BC}=\dfrac{EG}{FG}[/tex]
Putting the values, we get
[tex]\dfrac{15}{9}=\dfrac{10}{FG}[/tex]
[tex]\dfrac{5}{3}=\dfrac{10}{FG}[/tex]
[tex]5\times FG=3\times 10[/tex]
[tex]5FG=30[/tex]
Divide both sides by 5.
[tex]FG=6[/tex]
Therefore, the length of segment FG is 6 in.
In card B, pentagon ABCDE is similar to pentagon QRSTU.
The corresponding sides of similar figure are proportional. So,
[tex]\dfrac{AB}{QR}=\dfrac{BC}{RS}=\dfrac{CD}{ST}=\dfrac{DE}{TU}=\dfrac{EA}{UQ}[/tex]
Now,
[tex]\dfrac{CD}{ST}=\dfrac{EA}{UQ}[/tex]
It can be written as
[tex]\dfrac{CD}{EA}=\dfrac{ST}{UQ}[/tex]
Therefore, the missing side is ST.
Find the value of x.
Answers
Answer:
x=102
Step-by-step explanation:
Use the distributive property to rewrite each expression in its equivalent form.
1. 4(x + 3)
2. -7(4 - y)
3. 6(3x + 5y -4)
4. 9a-3/3
Rewrite each linear expression by factoring out the greatest common factor.
5. 64x + 24
6. -5y -35
HELPP I NEED TO SUMBIT SOON
Answers
1.) 4x+12
2.) -28+7y
3.) 18x+30y-24
4.) For number 4, is the question 9(a-3/3) or a different expression? If it’s the first one, then it equals 9a-9.
5.) To factor out the GCF, we need to find the greatest factor that divides into both 64 and 24. We will find that 8 is the largest factor of 24 and 64. Therefore, all terms are divided by 8, and 8 remains out in front. We are essentially “undoing” distribution. We need to factor out a number that will make the multiples of 64 and 24.
(64+24)/8
5.) Answer: 8(8x+3)
Notice that if we distribute, we end up with 64x+24, so we simply revers distribution. Since distribution is multiplication, and division reverse multiplication into a simplified form, we divided each term by the GCF of 8.
6.) Factor out a GCF that divides into -5y and -35. The GCF is 5, since 5 divides evenly into both terms.
(-5y-35)/5
5(-y-7) is the answer.
Also notice that even though both terms were divided by 5, we kept the 5 out in front to distribute. This is because the goal of factoring is to break the expression down into a simplified, equivalent form.
Which equation is equivalent to x + 2y = 6?
y = -x + 6
B
y = -5x – 6
y = -x + 3
y = -x + 3
Answers
Answer:
y = -x + 6
Step-by-step explanation:
you will carry the character "X" to the right hand side making it "-x"
Equation x + 2y = 6 is equivalent to y = 3 - x/2
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
x + 2y = 6,
Subtract x from both the sides,
x + 2y - x = 6 - x
2y = 6 - x
Divide both the sides by 2,
y = 3 - x/2
The equation x + 2y = 6 can be expressed as y = 3 - x/2.
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Help me PLEASEEEE I’m on a time limit
Answers
Answer:
C. 20/52
Step-by-step explanation:
I think it’s that
Part 1: Students performed in a play on a Friday and a Saturday. For both performances, adult tickets cost a dollars each and student
tickets cost s dollars each.
On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1,200. On Saturday, they sold 140 adult tickets and 50
student tickets, and collect $1,230.
This situation is represented by this system of equations:
125a +65 s = 1,200
140a +505 = 1,230
What could the equation 265a+115s=2,430 mean in this situation?
Part 2: The solution to the original system is the pair a=7 and s=5. Explain why it makes sense that this pair of values is also the solution to the equation 265a+115s=2430.
Answers
Answer:
Sum of the two separate equations.
The values satisfies the equation
Step-by-step explanation:
Given the equations for the two separate days :
125a +65 s = 1,200 - - - Friday
140a +50s = 1,230 - - - Saturday
265a+115s=2430 means the addition of the two separate equations which means the overall sales for the two days in one single equation.
B)
Because, Inputting the solution, satisfied the equation:
a = 7 ; s = 5
265a+115s=2430
265(7) + 115(5) = 2430
1855 + 575 = 2430