Answer: The radius of the circle in 11
Final answer:
The equation is in the standard form (x - h)² + (y - k)² = r², where r is the radius. Thus, the square root of the constant term 121 would give the radius, which is 11.
Explanation:
To find the radius from an equation of a circle in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle, and r is the radius, we need to compare it to the given equation.
As per the standard form, the number on the right side of the equation is r², the square of the radius.
We have (x - 3)² + (4 + 4)² = 121, which can be written as (x - 3)² + (8 - 0)² = 121, considering (3,0) as the center of the circle, the radius would be the square root of 121, which is 11.
If a triangle has two angles that measure 60 degrees, is the triangle isosceles? Why? Is it
equilateral? Why? Does it make sense to be both isosceles and equilateral?
Answer:
yes,it is equilateral and isosceles because all three angles measure 60°(equilateral).A triangle is isosceles if 2 angles measure the same
In a box full of fruits there are oranges, apples, and pears in the ratio of 2:5:6. What is the total weight of the fruits in the box if it is known that there are 4.8 lbs of oranges in the box?
Answer:
31.2
Step-by-step explanation:
Ratio shows us the number of times a number contains another number. The weight of the fruit box is 31.2 lbs.
What is Ratio?A ratio shows us the number of times a number contains another number.
As it is given the ratio of the fruits oranges, apples, and pears is 2:5:6. And the weight of the oranges in the box is 4.8 lbs.
Let's assume that the weight of the oranges, apples, and pears is 2x, 5x, and 6x respectively.
Now, as the weight of the oranges is 4.8 lbs, therefore,
The weight of the oranges, 2x = 4.8 lbs
x = 2.4 lbs
Now, as we know the value of x, therefore, the weight of the fruit box is,
[tex]\begin{aligned}\text{Total weight of the fruit box} &= 2x + 5x+ 6x \\&=13x \end{aligned}[/tex]
Now, substitute the value of x, therefore, we can write it as,
[tex]=13x\\\\= 13(2.4)\\\\= 31.2\rm\ lbs[/tex]
Hence, the weight of the fruit box is 31.2 lbs.
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A cone has a radius of 2 and it’s volume is 29 cubic units. What is the height of the cone ?
Answer: v= pi.r².h/3
29= 22/7.2².h/3
29×3×7/22×4= h
609/88=h
6.92=h
Step-by-step explanation:
at ivans ice cream shop, 8 small sundays costs the same as ordering 4 small small sundays and 2 large sundays. if one small costs $3, how much does one large sunday cost
Answer:
$6
Step-by-step explanation:
(3)8=24
(4)3=12
24-12=12/2=6
On Nathan's favorite TV show, players compete to see who can run through an obstacle
course the fastest. Some players fall into a big tank of water that is shaped like a cube. The
tank measures 8 yards on each side. What is the volume of the tank?
cubic yards?
Answer:
The answer would be 512 cubic yards
Step-by-step explanation:
When you have the area of one of the sides, you can multiply it by 8 because it is a cube and that would give you 512. hope this helps :)
Answer:
i don't know and i need coins or point
You roll a number cube one time. What is the probability that you roll a 3 or 5? Enter your answer as a fraction in simplest form.
Answer:
2/6 = 1/3
Step-by-step explanation:
you have a six sided dice. 2 numbers over the entire dice numbers so that would be, 2/6 which simplifies to 1/3
Have a great day!
The probability of rolling either a 3 or a 5 on a single roll of a fair six-sided die is 1/3.
Explanation:To calculate the probability of rolling either a 3 or a 5 with a single roll of a six-sided die, we need to consider that there are 6 possible outcomes (the numbers 1 through 6). Since each face has an equal chance of landing face up, each single number has a probability of 1/6. When calculating the probability of rolling a 3 or a 5, we add the probabilities of these two separate events together because they are mutually exclusive outcomes.
The probability of rolling a 3 is 1/6, and the probability of rolling a 5 is also 1/6. Thus, the probability of rolling either a 3 or a 5 is given by:
(Probability of rolling a 3) + (Probability of rolling a 5) = 1/6 + 1/6 = 2/6
After simplification, the probability in its simplest form is:
1/3
if f(x)=2(3^x)+1, what is the value of f(2)
Answer:
19
Step-by-step explanation:
f(x)=2(3^x)+1,
Let x=2
f(2)=2(3^2)+1
Exponents first
=2 (9) +1
Then multiply
=18+1
=19
Answer:
19
Step-by-step explanation:
f(2) = 2(3²) + 1
= 2(9) + 1
= 18 + 1
= 19
The expression c(16x + 14) is equivalent to 32x + d.
What are the values of c and d?
How do you solve it?
Answer:
c = 2
d = 28
Step-by-step explanation:
Please see the attached file for explanation
BRAINLIEST!!! ANSWER WITH EXPLANATION! ASAP
Answer: 20 is the answer
Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.
The probability that the sum of the numbers rolled is either even or a multiple of 5 is
Answer:
The answer is 7/36.
Step-by-step explanation:
First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word or says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.
Answer: For plato
1. 11/18 .
2. 5/9.
Step-by-step explanation:
The probability that the sum of the numbers rolled is either even or a multiple of 5 is 11/18 . The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is 5/9.
You deposit 1600 in a bank Find the balance after 3 years if the account pays 4%annual interest yearly.
Answer:
192
Step-by-step explanation:
The balance in a bank account after 3 years with an initial deposit of $1600 and an annual interest rate of 4% is calculated using the simple interest formula. The result is a balance of $1792 after adding the interest earned to the principal amount.
Explanation:The question involves finding the balance in a bank account after 3 years with an initial deposit of $1600 and an annual interest rate of 4%. This is a mathematics problem that involves the concept of simple interest.
To calculate the balance after 3 years, we can use the formula for simple interest:
Balance = Principal + (Principal × Rate × Time)
Where:
Principal is the initial amount deposited ($1600)Rate is the annual interest rate (4% or 0.04 as a decimal)Time is the number of years the money is invested (3 years)Using this information, the calculation is as follows:
Balance = $1600 + ($1600 × 0.04 × 3)
Balance = $1600 + $192
Balance = $1792
Therefore, after 3 years, the balance in the bank account would be $1792.
Which of the following are examples of exponential decay? Select all that apply.
Answer:A,D,F,G
Step-by-step explanation:
All of these say either decrease, depreciate, or decay which all mean exponential decay
True or False? The first distribution shown below has a smaller mean than
does the second distribution.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112
O
A. True
O
B. False
The first distribution with numbers ranging from 1 to 12 has a mean of 6.5, while the second distribution with numbers from 101 to 112 has a mean of 105.5. It is therefore True that the first distribution has a smaller mean than the second distribution.
The question asks whether the first distribution (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12) has a smaller mean than the second distribution (101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112). To determine this, we will calculate the mean of both distributions.
The mean of a distribution is calculated by adding all the numbers in the set and then dividing by the count of numbers.
For the first distribution:
Mean = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12) / 12
Mean = 78 / 12
Mean = 6.5
For the second distribution:
Mean = (101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 109 + 110 + 111 + 112) / 12
Mean = 1266 / 12
Mean = 105.5
Comparing the means of both distributions, the first distribution has a mean of 6.5 and the second distribution has a mean of 105.5. Therefore, it is True that the first distribution has a smaller mean than the second distribution.
Furthermore, this corresponds to elementary properties of means where adding the same value to all elements of a distribution shifts the mean but does not affect the comparison of means of two distributions if the same value is added to each distribution.
Find the exact volume of the cylinder. Diameter 10 ft and height 8 ft
The exact volume of the cylinder with a 10 ft diameter and 8 ft height is found using the formula V = πr²h. With a diameter of 10 ft, the radius is 5 ft. The calculated volume is 628.318 cubic feet.
Explanation:To find the exact volume of a cylinder with a diameter of 10 ft and a height of 8 ft, we can use the following formula:
V = πr²h
Where V is the volume, r is the radius of the cylinder (half of the diameter), h is the height, and π (pi) is approximately 3.14159. Since the diameter is given as 10 ft, the radius will be 5 ft (half of the diameter).
Substituting our values into the formula gives us:
V = π × (5 ft)² × 8 ft
V = 3.14159 × 25 ft² × 8 ft
V = 3.14159 × 200 ft³
V = 628.318 ft³
Therefore, the exact volume of the cylinder is 628.318 cubic feet.
Suppose you are a construction worker you use aluminum for a window frame copper for wiring and iron for nails use the properties of these materials to justify their specific uses
Answer:
Aluminum
properties- light weight, reflectivity
ductility Corrision Ressistance
uses- kitchen utensils, cans, foils, window frames
GIVE ME BRAINLIEST
An aluminum is used for a window frame because it's light, malleable and offers high levels of wind (energy efficiency).
The properties of materials.In Science, some of the mechanical and physical properties of materials used in the construction of buildings include the following:
DensityConductivityResistivityElasticity/stiffnessCorrosionDuctility/malleabilityFractureAn aluminum is used for a window frame because it's light, malleable and offers high levels of wind (energy efficiency). Also, copper is used for wiring because it is a good conductor of electricity (current).
In conclusion, an iron is used for nails because of its strength (hardness) and ability to resist corrosion.
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Simplify -10(10w-6-w)-w
Answer:
-91w + 60
Step-by-step explanation:
to simplify this -10(10w-6-w)-w
we have,
-10(10w-6-w)-w
-100w + 60 + 10w - w
-91w + 60
Sari is factoring the polynomial 2x2 +5x+3. If one factor is (x+1), what is the other factor?
0 2X-3
2x+3
3x-2
ard
3x+2
s Notebo..
8-19-
TER 2:
12-20,
01-07
Answer:
2x + 3
Step-by-step explanation:
Given
2x² + 5x + 3
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 3 = 6 and sum = 2 + 3 = 5
The factors are 2 and 3
Use these factors to split the x- term
2x² + 2x + 3x + 3 ( factor the first/second and third/fourth terms )
= 2x(x + 1) + 3(x + 1) ← factor out (x + 1) from each term
= (x + 1)(2x + 3) ← in factored form
Thus the other factor is (2x + 3)
Answer:
2x+3
Step-by-step explanation:
It's B on edg
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction In △BCD, d = 3, b = 5, and m∠D = 25°. What are the possible approximate measures of angle B? only 90° only 155° 20° and 110° 45° and 135°
Law of sines.
The sine is a trigonometry function that is equal to the ratio of the opposite side of the given triangle and is considered to be from e right-angled triangle. The question states the start fraction for the sine in upper case A and the end fraction for lower case B. Hence the answer is given.
Answer is over c end fraction in triangle BCD, where d is equal to 3, b is equal to 5 and angled is at 25 degrees.
Thus the statement refers to the start and the end fractious of the upper and lower cases found in the right-angled triangle and has a function of sine.The possible approx. the measure of the angle B is 20 and 110 degrees is correct.Find more information about the law of sins.
brainly.com/question/13773515.
By applying the Law of Sines and solving for sin(B), we find that the possible approximate measures of angle B are 45° and 135°. Therefore, the correct answer is option D.
To determine the possible measures of angle B in triangle BCD using the Law of Sines, start with the given information:
d = 3, b = 5, and m∠D = 25°.Using the Law of Sines:
sin(D) / d = sin(B) / bSubstitute the known values:
sin(25°) / 3 = sin(B) / 5Calculate sin(25°):
sin(25°) ≈ 0.4226Set up the equation:
0.4226 / 3 = sin(B) / 5Cross-multiply to solve for sin(B):
3 × sin(B) = 5 × 0.42263 × sin(B) = 2.113sin(B) = 2.113 / 3sin(B) ≈ 0.7043We now find B using the sine inverse function:
B = sin-1(0.7043) ≈ 45° or 135°Thus, the possible approximate measures of angle B are 45° and 135°.
The correct answer is option D: 45° and 135°.
Complete Question:
Law of sines: In △BCD, d = 3, b = 5, and m∠D = 25°. What are the possible approximate measures of angle B?
A.only 90°
B.only 155°
C.20° and 110°
D.45° and 135°
What is the length of the hypotenuse of the triangle?
√ 20 cm
√ 23 cm
√ 40 cm
√ 58 cm
Answer:
√58 cm.
Step-by-step explanation:
The hypotenuse is the line AB.
Using the Pythagoras theorem:
AB^2 = 3^2 + 7^2
AB^2 = 9 + 49 = 58
AB = √58 cm.
► 00:00
What is a logical mathematical argument in which every statement of fact is supported by a reason?
?
Answer:
Proof
Step-by-step explanation:
PROOF can be said to be logical mathematical argument in which every statement of fact is supported by a reason
due to the fact mathematical proof is an inferential argument for a mathematical statement because it help to shows that the assumptions stated logically guarantee and enables the conclusion.
Therefore Proofs can be said to be an examples of exhaustive deductive reasoning because they tend to often establish logical certainty which can be differentiated from empirical arguments which inturn help to establish reasonable and effectively expectation as well as employ logic expressed in mathematical symbols which is why proofs are often written in terms of rigorous informal logic
Answer:
Proof
Step-by-step explanation:
Drag the slider to explore changing the value of a in the graph of y = asin(x).
When a = 4, the minimum is -4
and the maximum is 4
When a = -4, the minimum is -4
and the maximum is 4
Answer:
-4 4 -4 4 then the next one is it, has no effect on
Step-by-step explanation:
edge2023
Answer:
-4, 4
-4, 4
has no effect on
Step-by-step explanation:
Drag the slider to explore changing the value of a in the graph of y = asin(x).
When a = 4, the minimum is -4 and the maximum is 4.
When a = -4, the minimum is -4 and the maximum is 4.
Based on these results, changing the sign of a has no effect on the maximum and minimum values of the graph of y = asin(x).
A 3" × 5" rectangle is dilated by a scale factor of 2. what will its new perimeter be?
Answer:
6" × 10"
Step-by-step explanation:
Because the dilation is a whole number we know the rectangle will be enlarging, and we are told this is by two. So you will take and multiply the dimensions by two.
(2 × 3") × (2 × 5")
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What is the answer to this question
Answer:
the answer is d
Step-by-step explanation:
the y is always the second number in the coordinate pair and it is on the negative y-axis plain
Answer:
(0,-4)
Step-by-step explanation:
The coordinate of when the line hits the y axis is (0,-4).
To convert 67.9 decimeters to millimeters,
multiply 67.9 by 10.
multiply 67.9 by 10^2.
divide 67.9 by 10^2.
divide 67.9 by 10.
Answer is B
Answer:
Option b
Step-by-step explanation:
To convert decimeters to millimeters you have to multiply it by 100 also know as 10 by the power of 2.
Answer: it option b on the exam hope this helps
Step-by-step explanation:
A shoe store donated a percent of every sale to hospitals.The total sales were $7,150 so the store donated $286.What percent of $7,150 was donate to the hospitals
Final answer:
To find the percent of sales donated to hospitals, divide the amount donated ($286) by the total sales ($7,150) and multiply by 100, resulting in 4%.
Explanation:
The question asks to calculate what percent of the total sales was donated to the hospitals by the shoe store. To find this, we use the basic formula for calculating percent: part over total, times one hundred, equals percent. In this case, the part is the amount donated ($286) and the total is the total sales ($7,150).
So, the calculation would be: (286 / 7,150) x 100 = 4%. Thus, the shoe store donated 4% of its total sales to hospitals.
When Samantha was 10 years old, Luis was 15 years old. When Samantha was 13 years old, Luis was 18 years old. When Samantha was 17 years old, Luis was 22 years old. How old is Luis when Samantha is 34 years old?
Answer:
39
Step-by-step explanation:
John is 35 years old, and makes $30,000 per year. If he were to die, how much
would the beneficiaries of his life insurance policy receive if they can get by
on 75% of his income?
Current Gross Earnings
$ 7.500
9,000
15,000
23,500
30,000
40,000
65,000
MULTIPLES-OF-SALARY CHART
Current Age
25 Years 35 Years 45 Years
75% 60% 75% 60% 75% 60%
4.0 3.0 - 5.
5 4 .0 7.5 5.5
4.0 3.0* 5.5 4.0 7.5 5.5
4.5 3.0 6.5 4.5 8.0 6.0
6.5 4.5 8.0 5.5 8.5 6.5
7.5 50 8.0 6.0 8.5 6.5
7.5 5.0 8.0 6.0 8.0 6.0
7.5 55 7.5 6.0 7.5 6.0
55 Years
75% 60%
6.5 4.5
6.5 4.5
7.0 5.5
7.5 5.5
7.0 5.5
7.0 5.5
6.5 5.0
A. $188,000
B. $240,000
C. $140,000
D. $150,000
Answer:
240,000
Step-by-step explanati
Answer:
240000
Step-by-step explanation:
A new savings account is opened with $400 and gains 3% every year. What is the
exponential function?
To model the growth of a savings account with an exponential function, we will use the formula to calculate the amount of money, A(t), accumulated after a certain number of years, t, given an initial principal amount, P, and an annual interest rate, r.
The standard formula for exponential growth in the context of compound interest is as follows:
\[ A(t) = P (1 + r)^t \]
where:
- \( A(t) \) represents the amount of money in the savings account after \( t \) years.
- \( P \) is the principal amount initially deposited into the account.
- \( r \) is the annual interest rate (expressed as a decimal).
- \( t \) represents the time in years.
For your savings account, you start with $400 (the principal amount, \( P \)), and it gains 3% interest every year (the annual interest rate, \( r \)).
Let's assign the given values to their respective variables in the formula:
- \( P = \$400 \)
- \( r = 3\% = 0.03 \) (since 3% as a decimal is 0.03)
Inserting these values into the formula yields the specific exponential function for this savings account:
\[ A(t) = \$400 (1 + 0.03)^t \]
This equation represents the amount of money that will be in the savings account after any number of years, \( t \), based on the continuous application of a 3% annual interest rate.
The perimeter of a regular pentagon is 17.5 inches. What is the length of each side? 3.5 in. 4 in. 5.8 in. 87.5 in.
Answer:
3.5 in.
Step-by-step explanation:
17.5 ÷ 5 = 3.5
The requried length of each side of the pentagon is 3.5 inches.
What is the perimeter of the Pentagon?The perimeter of the pentagon is the measure of its circumference i.e. the sum of its 5 sides.
Here,
A regular pentagon has five equal sides. To find the length of each side of the pentagon, we need to divide the perimeter by 5.
Length of each side = Perimeter/5
Length of each side = 17.5 inches / 5
Length of each side = 3.5 inches
Therefore, the length of each side of the pentagon is 3.5 inches.
So the answer is 3.5 in.
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Angles M and P are complementary.
If angle M=(3x-45) degrees and Angle P = (2x + 15) degrees
what is the value of x....What is the measure of each angle.
How do I solve?
To solve for x and find the measure of each angle, set up the equation (3x-45) + (2x + 15) = 90, combine like terms, and solve for x. Then, substitute the value of x back into the expressions for angle M and P to find their measure.
Explanation:To solve for the value of x and find the measure of each angle, we'll use the fact that complementary angles add up to 90 degrees. So, we can set up the equation: (3x-45) + (2x + 15) = 90.
Now, let's solve for x:
3x - 45 + 2x + 15 = 90
Combine like terms: 5x -30 = 90
Add 30 to both sides: 5x = 120
Divide both sides by 5: x = 24.
Substitute the value of x back into the expressions for angle M and P to find their measure:
Angle M = (3(24) - 45) = 57 degrees
Angle P = (2(24) + 15) = 63 degrees
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Final answer:
Angles M and P are complementary, summing to 90 degrees. By setting up the equation (3x - 45) + (2x + 15) = 90 and solving for x, we find that x = 24, angle M measures 27 degrees, and angle P measures 63 degrees.
Explanation:
To solve for the value of x when angles M and P are complementary, we need to set up an equation based on the fact that the sum of complementary angles is 90 degrees. Therefore, we can write the equation as the sum of both angles: (3x - 45) + (2x + 15) = 90. After combining like terms and solving for x, we can find the measure of each angle by substituting the value of x back into the original expressions for angle M and angle P.
Write the equation for complementary angles: (3x - 45) + (2x + 15) = 90
Simplify and combine like terms: 5x - 30 = 90
Add 30 to both sides: 5x = 120
Divide by 5: x = 24
Find the measure of angle M: M = 3x - 45 = 3(24) - 45 = 27 degrees
Find the measure of angle P: P = 2x + 15 = 2(24) + 15 = 63 degrees
Thus, the value of x is 24 degrees, angle M measures 27 degrees, and angle P measures 63 degrees.