Answer:
A cookie store sells 6 varieties of cookies. It has a large supply of each kind. How many ways are there to select 15 cookies if at most 2 can be sugar cookies?
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Question 5 of 10
The graph shows the function f(x) = 2^x.
What is the value of x when f(x) = 4?
Answer:
A. 2
Step-by-step explanation:
Our y-axis is equivalent to f(x), so we can use it to find the value of x when f(x) = 4. If we look at the graph, we can find that an f(x) value of 4 (or, a y-value of 4) has an x-value of 2.
We could also figure this out by making f(x) equal to 4 in the equation:
\(4=2^{x}\)
2 times itself how many times is equal to 4? Well, 2 times 2 is equal to 4, so 2 times itself two times is equal to 4. x is equal to 2:
\(4=2^{2}\)
Either way works. If you have any more questions, let me know! :)
find the surface area of this cylinder round to the nearest tenth
Step-by-step explanation:
The surface area of a cylinder is given by
\(A = 2\pi r^2 + 2\pi rL\)
\(\:\:\:\:=2\pi(3\:\text{cm})^2 + 2\pi(3\:\text{cm})(12\:\text{cm})\)
\(\:\:\:\:= 282.7\:\text{cm}^2\)
Celine's book club read 42 books over 14 months. How many total months will it take them to read 57 books? Solve using unit rates.
Answer:
Step-by-step explanation:
42/14 = 57/x
42x = 57*14
42x = 798
x = 19 months
Answer: Actually its 18 months they calculated wrong
Basil was shown this enlargement, and he was asked to find the perimeter of the enlarged shape. His work is shown below.
A shape has side lengths 2, 2, 6, 4, 6. A larger shape has corresponding sides, A, A, 24, B, 24.
Figures not drawn to scale.
Basil’s Work
Scale factor
StartFraction 24 over 6 EndFraction = 4
Side A
4 times 2 = 8
Side B
4 times 4 = 16
Perimeter
24 + 16 + 8 + 8 = 56
Where, if any, did Basil first make a mistake in his work?
The answer to the mistake that Basil made in his enlargement work is; No, he did not make any mistake finding the perimeter.
How to interpret Shape Enlargement?From Basil's work we can see that Perimeter is gotten as;
24 + 16 + 8 + 8 = 56
Now, when we look at the newly enlarged shape lengths, we can see that the corresponding lengths are very correct and as such the perimeter is accurate and doesn't require any correction.
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If f(x) = 3x² + 1 and g(x) = 1 - X, what is the value of (f -9)(2)?
Answer:
(f -g)(2) = 14
Step-by-step explanation:
You can write the expression for the composite function as ...
(f -g)(x) = f(x) -g(x) = (3x² +1) -(1 -x)
(f -g)(x) = 3x² +x
Then for x = 2 ...
(f -g)(2) = 3(2²) +2
(f -g)(2) = 14
What is 9.98- 2.53 and 7.68 + 13.07 and 100.03 - 16.28 show your work
Answer:
9.98- 2.53 = 7.45
7.68 + 13.07 = 20.75
100.03 - 16.28 = 83.75
Step-by-step explanation:
9.98
- 2.53
_____
7.45
1 1 - Process of carrying 10's
7.68
+ 13.07
_______
20.75
0000 13 ⇔ What the number becomes after carrying
↑↑↑↑↑
100.03
- 16.28
______
83.75
Happy New Year!
What is the image of point (0,2) after a rotation of 90° counterclockwise about the origin?
Answer:
(-2,0)
Step-by-step explanation:
remember the rule for 90 degree clockwise is (-y,x) opposite y and x
the negative in there DOES NOT mean it will always be negative it means opposite but in this case yes it's negative because the opposite of positive is negative
Hope this helps dude, I'm also learning this in online school lol. ^-^
The image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).
The given coordinate point is (0, 2).
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
The rule of 90° counterclockwise rotation: (x, y) becomes (-y, x), here
(-2, 0)
Therefore, the image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).
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Find the missing side or angle.
Round to the nearest tenth.
Answer:
\( b = 2.7 \)
Step-by-step explanation:
Given:
< C = 53°
< B = 80°
a = 2
Required:
Find b
Solution:
The question given suggests we are given measures for a ∆.
To find side b, which corresponds to angle B, first, we'd find angle A, which corresponds to side a, then apply the Law of sines to find side b.
=> A = 180 - (53 + 80) = 47°
Law of Sines: \( \frac{a}{sin(A} = \frac{b}{sin(B} \)
Plug in the values into the formula
\( \frac{2}{sin(47} = \frac{b}{sin(80} \)
Cross multiply
\( 2*sin(80) = b*sin(47) \)
Divide both sides by sin(47) to make b the subject of formula
\( \frac{2*sin(80)}{sin(47} = b \)
\( 2.69 = b \)
\( b = 2.7 \) (nearest tenth)
On a coordinate plane, Rectangles A B C D and E F G H are shown. The length of side A B is 6 units and the length of side B C is 3 units. The length of side E F is 8 units and the length of side F G is 4 units.
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
Yes, because corresponding sides are parallel and have lengths in the ratio Four-thirds
Yes, because both figures are rectangles and all rectangles are similar.
No, because the center of dilation is not at (0, 0).
No, because corresponding sides have different slopes.
Answer:
im doing the same one, i believe it is D
Step-by-step explanation:
Answer:
a- yes because corresponding sides are parallel and have lengths in the ration 4/3
Step-by-step explanation:
just did the test
Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
Please help I'll put you as brainiest
Written as a simplified polynomial in standard form, what is the result when
(2x + 4)2 is subtracted from 6x² - 4?
Answer:
result when (2x + 4)2 is subtracted from 6x² - 4 is 2x² - 16x - 20.
Step-by-step explanation:
First, we need to expand (2x + 4)²:
(2x + 4)² = (2x + 4)(2x + 4) = 4x² + 8x + 8x + 16 = 4x² + 16x + 16
Now we can substitute this expression into the subtraction:
6x² - 4 - (4x² + 16x + 16)
Distributing the negative sign in front of the parentheses, we get:
6x² - 4 - 4x² - 16x - 16
Simplifying by combining like terms, we get:
2x² - 16x - 20
if 4,a,16 are in geometric sequence find the value of a .
Answer:
a = 8
Step-by-step explanation:
4 x 2 = 8
8 x 2 = 16
Helping in the name of Jesus.
Part 1: 12% annual interest on 132000 for 8 days
Part 2: 12% annual interest on 106,750 for 20 days.
If it helps, it's a 5 year note. Assuming 365 days in a year.
The interest for Part 1 is approximately $385.10.
The interest for Part 2 is approximately $709.31.
To calculate the interest for Part 1 and Part 2The formula is as follows:
Interest is calculated as follows: Principal * Rate * Time
Where
Principal represents the starting sumThe interest rate is rateTime measures length in years.Part 1:
$132,000 is the principal.
(Decimal) Rate = 12% = 0.12
Time = 8 days/365 days.
How much interest is there in Part 1?
Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10
Therefore, the interest for Part 1 is approximately $385.10.
Part 2:
$106,750 as the principal
(Decimal) Rate = 12% = 0.12
Time = 20 days / 365 days.
How much interest will there be in Part 2
Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31
Therefore, the interest for Part 2 is approximately $709.31.
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Gavin and Eric each ate 1/4 of a pizza. Megan ate 1/3 of what was left. How much pizza did Megan eat?
A) 1/2
B) 1/3
C) 1/6
D) 1/7
Simplify the following expression.
5.3x − 8.14 + 3.6x + 9.8
A.
-2.84x − 1.66
B.
8.9x + 17.94
C.
-2.84x + 17.94
D.
8.9x + 1.66
Answer:
D
Step-by-step explanation:
5.3x − 8.14 + 3.6x + 9.8
group the numbers on one side and the x's on the other
5.3x + 3.6x - 8.14 + 9.8
solve
8.9x + 1.66
All of the following are examples of attempts to offset carbon emissions EXCEPT...
A. Kyoto Protocol
B. Freedom in Industry
C. Nuclear energy
D. Sun, Wind, and Tidal energy
Answer:
B. Freedom in Industry
Step-by-step explanation:
The Kyoto Protocol is a commitment between countries to limit the amount of greenhouse gases produced. Nuclear, Sun, Wind, and Tidal energy are all renewable energy sources.
Which number is the closest approximation to the value of √51?
Answer:
I don't know your options but the √51 is 7.14142843
Step-by-step explanation:
Match the numbers on the left with all appropriate number sets on the right. A number on the left may match with more than one number set on the right
Each of the numbers on the left should be matched with all appropriate number sets on the right as follows:
√5 ⇒ Irrational.6 ⇒ Natural, Whole, Integer, Rational.1/2 ⇒ Rational.-2 ⇒ Integers, Rational.What are the types of numbers?In Mathematics, there are six (6) common types of numbers and these include the following:
Irrational numbers.IntegersNatural (counting) numbers.Real numbersRational numbers.Whole numbers.What is a rational number?In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 6, 12, 1/2, 0.5, √16, -2, etc.
Additionally, -2 can be classified as both a rational number and an integer.
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1. Answer the following questions on the number given below. 12,34 761 (a) What is this number called?
Step-by-step explanation:
one million, two hundred thirty-four thousand, seven hundred sixty-one
In the diagram below, AD EB, m/ABD = 115° and m/D = 27°.
Find m < ABE
The value of angle ABE is 52°
What are interior angle of a triangle ?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.
The interior angles of a triangle are the inside angles formed where two sides of the triangle meet.
The sum of interior angle in a triangle is 180°
Angle EBD = 180-(90+27)
= 180-117
= 63°
angle ABE + EBD = ABD
ABE = ABD - EBD
ABE = 115-63
= 52°
Therefore the value of angle ABE is 52°
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you have 51 coins in your pocket, all dimes and quarters. You have $10.20. How many dimes and quarters do you have?
To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.
To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.
We know that there are 51 coins in total, so we can write the equation: d + q = 51.
We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.
To solve this system of equations, we can use substitution or elimination. Let's use substitution:
Rearrange the first equation to solve for d: d = 51 - q.
Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.
Simplify and solve for q: 510 - 10q + 25q = 1020.
Combine like terms: 15q = 510.
Divide both sides by 15: q = 34.
Now substitute this value back into the first equation to solve for d: d + 34 = 51.
Subtract 34 from both sides: d = 17.
Therefore, you have 17 dimes and 34 quarters.
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-4x + 21 > -3
What could x be??
Answer:
x < 6
Step-by-step explanation:
subtract 21 on both sides
-4x > -24
divide both sides by -4 and flip the sign (bc you're dividing by a negative)
x < 6
Consider the graph of some function y equals f left parenthesis x right parenthesis.
The limits of the function for this problem are given as follows:
lim x -> -2 f(x) = 3.lim x -> 1 f(x) does not exist.lim x -> 4 f(x) = -3.How to obtain the limits of the function?In this problem, we are given the graph of the function, hence the limit is given by the value of the function as the function approaches x = a, not the actual numeric value of the function at x = a.
At x = -2, we have that:
To the left of x = -2, the function approaches x = -2 at y = 3.To the right of x = -2, the function approaches x = -2 at y = 3.As the lateral limits are equal, lim x -> -2 f(x) = 3.
At x = 1, we have that:
To the left of x = 1, the function approaches x = 1 at y = 0.To the right of x = 1, the function approaches x = 1 at y = -4.As the lateral limits are different, the lim x -> 1 f(x) does not exist.
At x = 4, we have that:
To the left of x = 4, the function approaches x = 4 at y = -3.To the right of x = 4, the function approaches x = 4 at y = -3.As the lateral limits are equal, lim x -> 4 f(x) = -3.
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e) What is the expected number of 6's if you roll 9 dice?
Expected number is
Round answer to two decimal places
Answer:
approximately 1.5 times but round up to 2
Answer
if you were to roll a dice 9 times you would have the chance to roll 6, 1.5 times.
1/6 and 0.5/3
Step-by-step explanation:
for every number on a dice there is a chance that you'll get that number 1.5 times
Why pay cash?
Our credit charges are less than 2% of the
cash price each year.
Credit Price
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Deposit £1350 +
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Final payment of £4887.50
Is the claim in the advert true?
[4 marks]
Answer:
www.imsorryineedpoints.org
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
what’s 2+2 because it’s confusing
Answer:
24
Step-by-step explanation:
This anser was goten from Goolgle
So it is very acurait.
Marilou,a buyer of lot,pays Php10,000 every month for ten years.If money is 8%compoundef annually,how much is the cash value of the lot?
Answer:1,200,000
Step-by-step explanation:
PLEASE SHOW YOUR WORK Solve for 3^3 + 14y - (25y - 13) = y + 7y - 9y
Answer:
Step-by-step explanation:
2.1 Factoring 9y2+30y-14
The first term is, 9y2 its coefficient is 9 .
The middle term is, +30y its coefficient is 30 .
The last term, "the constant", is -14
Step-1 : Multiply the coefficient of the first term by the constant 9 • -14 = -126
Step-2 : Find two factors of -126 whose sum equals the coefficient of the middle term, which is 30 .
-126 + 1 = -125
-63 + 2 = -61
-42 + 3 = -39
-21 + 6 = -15
-18 + 7 = -11
-14 + 9 = -5
-9 + 14 = 5
-7 + 18 = 11
-6 + 21 = 15
-3 + 42 = 39
-2 + 63 = 61
-1 + 126 = 125