Answer:
C=150.72 cm
A=1808.64 cm square
Step-by-step explanation:
If you are given the diameter(radius) of a circle you can find the area and the circumference of a circle.
since d(diameter)=2r(radius)
48=2r
r=24
[tex]C=2\pi r\\ C=2*3.14*24\\C=6.28*24\\C=150.72cm[/tex] If we found the circumference only the area is left.
[tex]A=\pi r^{2} \\A=3.14*24^{2} \\A=3.14*24*24\\A=3.14*576\\A=1808.64 cm^{2}[/tex]
Looking at the histogram, where would the median fall?
Answer:
The median would be found in the middle of the histogram
Step-by-step explanation:
It looks like 70-79, would fall in being the median because it is in the middle and it has the most results. In this case, I think it 70-79.
Hope this helps.
Answer:
70-79
Step-by-step explanation:
I took the test :)
Which describes the intersection of line M and line N
Answer: A point
Step-by-step explanation:
To find the point of intersection algebraically, solve each equation for y, set the two expressions for y equal to each other, solve for x, and plug the value of x into either of the original equations to find the corresponding y-value. The values of x and y are the x- and y-values of the point of intersection.
Find the equation of the circle whose center and radius are given. center ( 7, -3), radius = √7
Answer & Step-by-step explanation:
The equation of a circle is...
[tex](x-x1)^2+(y-y1)^2=r^2[/tex]
So all we have to do is plug in the numbers we are given.
So, the equation of the circle is (x - 7)² + (y + 3)² = √7²
Answer:
[tex](x - 7)^{2} + (y + 3)^{2} = 7[/tex]
Step-by-step explanation:
Just finished this quiz and checked the answer key.
Hope this helps
For what values (cases) of the variables the expression does not exist: b/a+b
Answer:
The expression b/(a +b) does not exist when a = -b or b = -a
Step-by-step explanation:
The expression b/(a + b) does not exist if the denominator a + b = 0.
So, a = - b or b = -a.
So, the expression b/(a + b) does not exist when a = -b or b = -a.
When a = -b values, the denominator a + b = -b + b = 0. This will make the expression b/(a + b) = b/0 = ∞ which undefined or does not exist.
When b = -a values, the denominator a + b = a + (-a) = a - a = 0. This will make the expression b/(a + b) = -a/0 = -∞ which undefined or does not exist.
So the expression b/(a +b) does not exist when a = -b or b = -a
I WILL MARK AS BRAINLIST
Answer:
18 square meters
Step-by-step explanation:
Answer:
7.5 square meterssolution,
The given figure if a Trapezium whose parallel sides are of 3 m and 2 m respectively.
Distance between the parallels sides
i.e. height is 3 m
Now,
[tex]area = \frac{1}{2} \times sum \: of \: parallel \: sides \times height \\ = \frac{1}{2} \times (3 + 2) \times 3 \\ = \frac{1}{2} \times 5 \times 3 \\ = \frac{15}{2} \\ = 7.5 \: {m}^{2} [/tex]
Hope this helps...
Good luck on your assignment...
the middle number; put the values in order from lowest to highest, then find the number that is exactly in the middle
I need help pleaseeee
Answer:
8.4375
Step-by-step explanation:
multiply 2.5 times 2.25 times 1.5
lenght x width x height
Which of the following is an equivalent equation to find w
[tex]answer \\ w = \frac{ {8x}^{2} - 2y }{y} \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Factorize x squared - 1x +10 =0
Answer:
no solution exists:
Step-by-step explanation:
x²−1x+10=0
Step 1: Simplify both sides of the equation.
x²−x+10=0
Step 2: Subtract 10 from both sides.
x²−x+10−10=0−10
x²−x=−10
Step 3: The coefficient of -x is -1. Let b=-1.
Then we need to add (b/2)^2=1/4 to both sides to complete the square.
Add 1/4 to both sides.
x²−x+ 1/4=−10+ 1/4
x²−x+ 1/4=−39 /4
Step 4: Factor left side.
(x -1/2)² = −39 /4
Step 5: Take square root.
x −1 /2 =±√ −39 /4
Step 6: Add 1/2 to both sides.
x =−1/2 + 1/2 = 1/2 ±√ -39/4
x = 1/2 ±√ -39/4
No real solutions.
I’ll mark you brainliest! What is the answer???
Answer:
A
Step-by-step explanation:
[tex]f(x)=9(3)^x \\\\\\f(-3)=9(3)^{-3}= \\\\\\9\left(\dfrac{1}{3^3} \right)= \\\\\\9\left(\dfrac{1}{27} \right)= \\\\\\\dfrac{9}{27}= \\\\\\\dfrac{1}{3}[/tex]
Hope this helps!
?????????????????????????
Answer:
[tex] \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} [/tex]
Given:
[tex]f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8[/tex]
To find:
[tex](f - g)(x) = f(x) - g(x)[/tex]
Step-by-step explanation:
[tex] \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3[/tex]
If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?
f = 3
f = 4
f = 5
f = 6
Answer:
f = 3Step-by-step explanation:
Given the equation cos(22f − 1) = sin(7f + 4), the following steps must be followed in order to get the value of f;
From the trigonometry identity, sin(90-theta) = cos theta.
cos(22f-1) = sin (90-(22f-1))
cos(22f-1) = sin (90-22f+1)
cos(22f-1) = sin (91-22f)... 3
substituting eqn 3 into the original equation given, we will have;
sin (91-22f) = sin(7f + 4)
91-22f = 7f+4
7f+22f = 91-4
29f = 87
f = 87/29
f = 3
A correct option is an option (a)
Given function is,
[tex]cos(22f-1) = sin(7f + 4)[/tex]
As we know the relation,
[tex]cosx=sin(90-x)[/tex]
Now, apply the above relates to the given function.
[tex]cos(22f − 1) = sin(7f + 4)\\sin(90-(22f-1))=sin(7f + 4)\\90-22f+1=7f+4\\-22f-7f=4-91\\-29f=-87\\f=3[/tex]
So, the required value is [tex]f=3[/tex]
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The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.50. If the total cost of the trip is $248.50, what is the price of each train ticket?
Answer:
Step-by-step explanation:
it’s B
Bro I don't know haha
please thank youuu asap!!!!!!!!!!!!!!!!!
All direct proportional graphs go through the origin (0,0). So this is where one point could go. The second point is found by going up 5 units and then to the right 3 units to get to (3,5)
Draw a straight line through (0,0) and (3,5) to graphThe equation of this line is y = (5/3)x
pleassseee help me solve 4b+11=39
Answer:
b = 7
Step-by-step explanation:
4b + 11 = 39
Subtract 11 to both sides
4b = 39-11
4b = 28
Dividing both sides by 4
b = 7
Someone please help me
Answer:
The answer is x = 4
Step-by-step explanation:
1. First you need to distribute the 3/4 * (x + 8). This looks like (3/4) * (x) + (3/4) * (8) = 9
2. Next you simplify the distributed equation, 3/4x + 6 = 9
3. Now subtract 6 from both sides, 3/4x = 3
4. Multiply both sides by 4/3, 4/x * 3/4x = 3 * 4/3
5. Simplify, x = 4
Please help! Correct answer only, please! The answer isn't C. Determine the value of the following if it is possible. If it is not possible, explain. A. B. C. D.
Answer:
| -6 0 |
| 12 21 |
Step-by-step explanation:
When we multiply a matrix by a scalar, each term in the matrix is multiplied by the scalar
3 | -2 0 |
| 4 7 |
becomes
| -6 0 |
| 12 21 |
Answer:
Solution : C
Step-by-step explanation:
This question involves scalar multiplication. Multiply each of the matrix elements by a scalar, in this case 3.
[tex]3\begin{bmatrix}-2&0\\ \:4&-7\end{bmatrix} = \begin{bmatrix}3\left(-2\right)&3\cdot \:0\\ 3\cdot \:4&3\left(-7\right)\end{bmatrix}[/tex]
Simplifying each element, we receive the following matrix,
[tex]\begin{bmatrix}-6&0\\ 12&-21\end{bmatrix}[/tex] - And hence our solution is option c
What is an equation of the line that passes through the point (8,-8) and is
perpendicular to the line 4x – 3y = 18?
Answer:
y = -3/4x - 2
Step-by-step explanation:
You put the equation in the slope-intercept form. Remember that the perpendicular slope is the negative reciprocal. You plug in the slope and the point into the slope-intercept formula. Solve for b then plug it into the final formula.
The equation of the line that passes through the point (8,-8) and is
perpendicular to the line 4x – 3y = 18 is;
⇒ 3x + 4y = -8
Here,
The point is (8, -8)
And, The equation of line is, 4x - 3y = 18
What is Equation of line?
The equation of line passes through points (x₁, y₁) and has slope m is;
y - y₁ = m₂ (x - x₁)
Now,
The point is (x₁, y₁) = (8, -8)
And, The equation of line is, 4x - 3y = 18
Put into the slope form as;
4x - 3y = 18
4x - 18 = 3y
y = (4/3)x - 6
Hence, Slope of the given line = 4/3
The slope (m₁) of perpendicular line relationship is;
4/3 * m₂ = -1
m₂ = -3/4
Hence, slope of perpendicular line (m₂) = -3/4
So, The equation of line by using point/slope form is;
y - y₁ = m₂ (x - x₁)
y - (-8) = -3/4 (x - 8)
y + 8 = -3/4 (x - 8)
4 (y + 8) = -3 (x - 8)
4y + 32 = -3x + 24
3x + 4y = -8
Hence, The equation of the line that passes through the point (8,-8) and is perpendicular to the line 4x – 3y = 18 is;
⇒ 3x + 4y = -8
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What is the probability that a card drawn randomly from a standard deck of 52 cards is a nine? Express your answer as a fraction in lowest
terms or a decimal rounded to the nearest millionth.
Answer:
1/13
Step-by-step explanation:
There are 4 nines in a deck so the probability is 4/52 = 1/13
The probability that a card drawn randomly from a standard deck of 52 cards is a nine is 1/13.
What is Probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, Total outcomes = 52 cards
Number of cards which contain 9 = 4 cards
Probability = favorable outcomes/ total outcomes
= 4 / 52
= 1/13
Thus, The probability that a card drawn randomly from a standard deck of 52 cards is a nine is 1/13.
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who can solve ? 9y < -3
Answer:
y< -1/3
Step-by-step explanation:
To solve the inequality, we must get the variable, y, by itself.
9y< -3
Perform the opposite of what is being done to the equation, to both sides.
y is being multiplied by 9. The opposite of multiplication is division. Therefore, divide both sides by 9.
9y/9 < -3/9
y< -3/9
-3/9 can be reduced. 3 can be divided evenly into both the numerator (top number) and denominator (bottom number).
y< (-3/3) / (9/3)
y< -1/3
What is -3 1/2 ÷ 4/9 = ???
Answer: -7.875
Step-by-step explanation:
2x - 4(4x - 8) = -94 solve for x
Answer:
x =9
Step-by-step explanation:
2x - 4(4x - 8) = -94
Distribute
2x - 16x +32 = -94
Combine terms
-14x +32 = -94
Subtract 32 from each side
-14x+32-32 = -94-32
-14x =-126
Divide each side by 14
-14x/-14 = -126/-14
x =9
Answer:
9
Step-by-step explanation:
answer.
The temperature decreased from
17° on Saturday to -7° on Sunday.
What was the total change in
temperature?
Answer:
Decreased 24 degrees
Step-by-step explanation:
subtract the 17 from Saturday which gets you to 0 but it ends up being -7 on Sunday so i did 17+7 and it gives 24 so that's how much it went down
Which of the following is the correct factored form of the given equation?
4x2 - 11x + 6 = 0
(2x + 3)(2x + 2) = 0
(2x - 3)(2x - 2) = 0
(4x - 3)(x - 2) = 0
Answer:
[tex](4x - 3)(x - 2) = 0[/tex]
Last answer is correct
Step-by-step explanation:
[tex]4 {x}^{2} - 11x + 6 = 0 \\ 4 {x}^{2} - 8x - 3x + 6 = 0 \\ 4x(x - 2) - 3(x - 2) = 0 \\ (4x - 3)(x - 2) = 0[/tex]
hope this helps
brainliest appreciated
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In QRS m Q = 80 degrees m R = 65 degrees m S = 35 degrees which side of the QRS is the longest
Answer: RS
Step-by-step explanation:
A greater angle of a triangle is opposite a greater side. If angle Q is greater than angle R, then side RS is greater than side QS.
Because Q is the larger angle in the triangle, Then RS is the longest side.
Simplify the question in the picture
Answer:
B.3^9
Step-by-step explanation:
3^5•3^4=3^5+4=3^9
LAST QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
2. All of the following constructions start with a line segment except what?
A) constructing a line perpendicular to a point on a line
B) constructing equilateral triangles
Answer:
A) Constructing a line perpendicular to a point on a line
Amanda has at most $40 to spend on flowers. She wants to buy a pair of red rose flowers for $18 dollars and spend the rest on lily flower. Each lily flower costs $11. Write an inequality for the number of lily flowers she can purchase
Answer:
x ≤ 2
Step-by-step explanation:
2 red rose cost $ 18
x flowers cost $ 11x
"At most " means ≤.
11x + 18 ≤ 40
11x ≤ 40 - 18
11x ≤ 22
x ≤ 2
Using inequality we know that Amanda can purchase 2 lily flowers.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity.So, the inequality can be:
Monet Amanda can spend is $40.She purchased a pair of roses worth $18.Rest we want to wants to buy lily, which costs $11 each.Now, the inequality will be:
Let, the number of lilies is x and Amanda purchases 2 lilies:
18 + 2x ≤ 4018 + 2(11) ≤ 4018 + 22 ≤ 4040 = 40Therefore, using inequality we know that Amanda can purchase 2 lily flowers.
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What is the completely factored form of x3 – 64x?
Answer:
x( x-8)(x+8)
Step-by-step explanation:
x^3 - 64x
Factor out an x
x( x^2 -64)
This is the difference of squares x^2 -8^2 which is a^2 - b^2 = (a-b)(a+b)
x( x-8)(x+8)
Answer:
[tex]x(x - 8)(x + 8)[/tex]
Step-by-step explanation:
[tex] {x}^{3} - 64x \\ x( {x}^{2} - 64) \\ x( {x}^{2} - {8}^{2} ) \\ = x(x - 8)(x + 8)[/tex]
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what are the domain and range of the function on the graph