Answer:
A
Step-by-step explanation:
The central angle is equal to the arc that subtends it , then
arc AB = 30°
arc ACB = 360° - 30° = 330° → A
Harvey decided to make chocolate pudding pies for a celebration. He had to make 4 pies. Each pie needed 2 quarts of milk. How many pints of milk will he need?
Answer:
He will need 16 pints.
Step-by-step explanation:
2 pints per quart
2 quarts = 4 pints
4 x number of pies (4)
16
Answer
16 pints.
2 pints per quart
2 quarts makes 4 pints
4 x number of pies
16c
I think
A new car is purchased for 24000 dollars. The value of the car depreciates at 15% per year. To the nearest tenth of a year, how long will it be until the value of the car is 10000 dollars
The value of the car will be $10000 after 2.5 years
The cost price of the car = $24000
Rate of depreciation, r = 15%
r = 15/100
r = 0.15
The final value of the car after depreciation, A = $10000
To get the time for depreciation, use the formula below and solve for t
\(A=P(1-r)^t\)
Substitute P = 24000, A = 10000, and r = 0.15 into the equation above
\(10000=15000(1-0.15)^t\\\\\frac{10000}{15000} = 0.85^t\\\\0.85^t=0.67\\\\t (ln0.85)=ln0.67\\\\-0.163t=-0.4\\\\t=\frac{-0.4}{-0.163} \\\\t=2.5\)
The value of the car will be $10000 after 2.5 years
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Simplify \(\frac{sec(a)-csc(a)}{sec(a)+csc(a)}\)
The simplified version of (sec a - cosec a) / (sec a + cosec a) is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).
What is trigonometry?The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
Given:
(sec a - cosec a) / (sec a + cosec a)
Multiply the numerator and denominator by (sec a - cosec a)
(sec a - cosec a) / (sec a + cosec a) × (sec a - cosec a)
(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)
As we know,
\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)
sec² a cosec² a - 2sec a cosec a / (sec²a - cosec²a)
sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)
cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)
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This scatter plot shows the relationship between the average study time and the quiz grade. The line of
best fit is shown on the graph.
Explain how you got it please
Need help ASAP!
The line of best fit represents the trend or average relationship between the average study time and quiz grade. It provides an approximation of the expected quiz grade based on the average study time.
To obtain the line of best fit on a scatter plot, you would typically use a method called linear regression. Linear regression aims to find the best-fitting line that minimizes the overall distance between the line and the data points.
Here's a general overview of the steps involved in obtaining the line of best fit:
Plot the scatter plot with average study time on the x-axis and quiz grade on the y-axis.
Visually observe the distribution of the data points. Look for any overall trend or pattern.
Determine the type of relationship between the variables. In this case, we are looking for a linear relationship.
Use a statistical software or calculator that supports linear regression to perform the analysis. This will generate the equation of the line that best fits the data.
The line of best fit is determined by its slope (m) and y-intercept (b), represented by the equation y = mx + b.
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40 points!
create one equation with a fraction and show the work to solve it.
Answer: 3x/6=4
Step-by-step explanation:
3x/6 = 4
multiply 6 on both sides to remove fraction.
3x=24
x=8
Find m∠AMY+m∠CME. i dont understand
Answer:
It's 46°
Step-by-step explanation:
\(m \angle AMY = 62 - 37 = 25 \degree\)
\(m \angle CME = 159 - 138 = 21 \degree\)
\({ \tt{m \angle AMY + m \angle CME = 21 \degree + 25 \degree}} \\ { \tt{ = 46 \degree}}\)
The sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
From the picture,
The measure of angle PMY = 62 degrees
The measure of angle PMA = 37 degrees
The measure of angle AMY = Angle PMY - Angle PMA = 62 - 37
= 25 degrees
Similarly,
Angle CME = 79 - 21 = 58 degrees
m∠AMY+m∠CME = 25 + 58 = 83 degrees.
Thus, the sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.
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Can anyone help me with this math equation please?? I will give brainlist!!
Answer:
C (8; 7)
Step-by-step explanation:
A is inside both rectangle and square
B and D are outside rectangle and square
Write an expression for the product (6–√)(15−−√)
without a perfect square factor in the radicand.
A. 35–√
B. 310−−√
C. 95–√
D. 910
Answer: The expression (6-√)(15-√) can be simplified by using the distributive property of multiplication over addition:
(6-√)(15-√) = 6 * 15 + 6 * (-√) + (-√) * 15 + (-√) * (-√)
Expanding the first two terms:
6 * 15 = 90
6 * (-√) = -6√
Next, we'll use the identity for the product of two square roots:
(-√) * 15 + (-√) * (-√) = 15√ - √^2
Since the square root of a positive number is positive, √^2 = √. So:
15√ - √^2 = 15√ - √
Putting everything together:
(6-√)(15-√) = 90 - 6√ + 15√ - √
Combining like terms:
(6-√)(15-√) = 90 + 9√
So, the expression (6-√)(15-√) without a perfect square factor in the radicand is:
(6-√)(15-√) = 90 + 9√
Therefore, the answer is:
(6-√)(15-√) = A. 35 + 9√.
Step-by-step explanation:
A sandwich shop offers five types of sandwiches in three different sizes in four different kinds of bread. You can add six different fillings (tomatoes, pickles, lettuce, onions, jalapenos, mushrooms) for $0.50 each. In how many ways can you personalize your sandwich
Assuming that you can choose only one type of sandwich, one size, one type of bread, and any combination of fillings, you can personalize your sandwich in the following way : 5 (types of sandwich) x 3 (sizes) x 4 (types of bread) x 2^6 (choices of fillings) = 5 x 3 x 4 x 64 = 3840
So, you can personalize your sandwich in 3840 different ways by choosing one type of sandwich, one size, one type of bread, and any combination of six different fillings.
Hi! I'd be happy to help you determine the number of ways you can personalize your sandwich at this shop.
1. Sandwich type: There are 5 types of sandwiches to choose from.
2. Sandwich size: There are 3 different sizes available.
3. Bread type: You can select from 4 different kinds of bread.
Now, let's consider the fillings. Since there are 6 fillings, each one can either be included or not included. This results in 2 options (yes or no) for each filling.
To calculate the total number of personalized sandwiches, we can multiply the options for each aspect of the sandwich:
5 (types) * 3 (sizes) * 4 (breads) * 2^6 (fillings) = 5 * 3 * 4 * 64 = 3840
Therefore, you can personalize your sandwich in 3840 different ways.
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at a high school, 18% of all students are in the school musical and the choir, and 32% of all students are in the school musical. what is the probability that a student is in choir, given that the student is in the school musical? a. 14% b. 50% c. 56% d. 178% please select the best answer from the choices provided a b c d
The probability that a student is in choir, given that the student is in the school musical is (c) 56%
What is the probability that a student is in choir, given that the student is in the school musical?From the question, we have the following parameters that can be used in our computation:
School musical and choir = 18%
School musical = 32%
The requird probabilty is calculated as
P = School musical and choir/School musical
Substitute the known values in the above equation, so, we have the following representation
P = 18%/32%
Evaluate
P = 56%
Hence, the probability is (c) 56%
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Write the set of non-negative integers in the inequality 2x < 4.
Answer:
The set \(S\) of non-negative integers in the inequality \(2x < 4\) is
\(S = \{0, 1\}\)
Step-by-step explanation:
The non-negative integers are given as \(\mathbb{Z}_{\ge 0} = \{ 0, 1, 2, \ldots \}\)
For the inequality \(2x < 4\), we have
\(2x < 4 \implies x < \dfrac{4}{2} \implies x < 2\)
Therefore,
\(x\in \mathbb{R}:x\in(\infty, 2)\)
Note: 2 is not included
The integers are
\(\ldots -2, -1, 0, 1\)
And the non-negative integers are
\(0, 1\)
Hey why is no one answering my questions, I really need help on something and people are just typing random things and I’m just done talking leads let me know if you can help me with a few linear equations problems and I’ll give you 100 points and brainliest, there’s a glitch on my profile where it’s stuck at 20 but I actually have 100
Answer:
what are the questions ?
Step-by-step explanation:
please can someone smart help me,please do not answer if you dont know the answer,also answer all these questions please:).
Answer:
Number 7: 22.10 divided by 2.6 = 8.5 or 8.50 (depending on what your teacher prefers.
Step-by-step explanation:
Not sure about question 2 or 10
Find the circumference of a circle with a radius of 35 inches in terms of and to the nearest tenth of an inch. (use 3.14 for *)
A. C = 70 inches
C ≈ 219.8 inches
B. C = 17.5 inches
C ≈ 54.95 inches
C. C = 11 2/3 inches
C ≈ 36 19/30 inches
D: C = 105
C ≈ 329.7 inches
pls help i’ll give brainiest too
The circumference of a circle with a radius of 35 inches in terms of and to the nearest tenth of an inch is 219.8 inches.
The correct answer choice is option A.
What is the circumference of a circle?Circumference of a circle, c = 2πr
Where,
radius, r = 35 inches
c = 2πr
= 2 × 3.14 × 35
= 219.8 inches
In conclusion, 219.8 inches is the circumference of the circle.
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PLEASE PLEASE PLEASE HELP
Answer:
A, see attachment for work.
Step-by-step explanation:
A collect call costs $5.99 to connect plus 99 cents per minute. What is the cost of a 6 minute call?
Answer:
$11.93
Step-by-step explanation:
You can write an equation to represent this scenario, where x is the number of minutes spent on the call and y is the total cost of the call.
\(y=0.99x + 5.99\)
Plug in 6 for x:
\(y=0.99(6)+5.99\)
Multiply 6 x 0.99, representing the fact it costs 99 cents per each minute spent on the call:
\(y=5.94+5.99\)
Add the sum of the $5.99 cost to connect the call, plus the charge ($5.94) for spending six minutes:
\(y=11.93\)
Your answer is $11.93!
Andres used 3 pears and 9 apples to make a fruit salad. What ratio represents the number of pears to the number of apples in the fruit salad?
Answer: 3 pears: 12 combined apples and pears for total number of fruit in the salad
Step-by-step explanation:
Answer:
3:9 = 1:3
l
Step-by-step explanation:
Consider the following 8 numbers, where one labelled x is unknown. 31, 44, 43, x, 47, 11, 26, 29 Given that the range of the numbers is 57, work out 2 values of x
Answer: -10 and 68
Step-by-step explanation:
We have the numbers, ordered from least to greatest:
11, 26, 29, 31, 43, 44, 47 and x.
The range is equal to the difference between the largest number and the smallest number, so, x can take two values.
The smallest number:
here we have that:
47 - x = 57
x = 47 - 57 = -10
The other possibility is that x is the largest number, in this case, we have that:
x - 11 = 57
x = 57 + 11 = 68.
Then the two possibla values of x are -10 and 68
Tyler has two cube-shaped storage spaces in his apartment building, one large and one
Tyler has two cube-shaped storage spaces in his apartment building, one large and one small.
Let the length of one side of the larger cube be l. Thus, the volume of the larger cube is V = l^3
The length of one side of the smaller cube is half of the larger cube's side. Hence, the length of one side of the smaller cube is l/2. Therefore, the volume of the smaller cube is
V = (l/2)^3
Simplifying the second equation,
V = (l/2)^3 = l^3/8
Given that the volume of the larger cube is 343 cubic feet. Therefore,
l^3 = 343 cubic feet
.l = (343)^(1/3) feet
= 7 feet
The volume of the smaller cube is given by V = l^3/8. Substituting the value of l, we get:
V = (7^3)/8 cubic feet
= 171.5 cubic feet
Therefore, the volume of the smaller cube is 171.5 cubic feet.
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AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
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Find the common ratio of the geometric sequence -14, -84, -504,
Answer:
0.166667 - Common Ratio
step by step
Formula Used: Common Ratio=First term/Consecutive Term
Calculation: 0.166667=(-14)/(-84)
A class of 17 students took a math test and all had different scores. The median score was 70, the highest score was 95 and the lowest score was 33. Later, it was discovered that the highest and the lowest scores, should respectively increase by 7 points and decrease by 4 points. Let denote the old mean and denote the new mean. Find a mathematical relation that connects these two. Show your work. You can use x_new and x_old to represent the two variables.
The mathematical relation that connects the old mean (x_old) and the new mean (x_new) is x_new = x_old. This means that the old mean and the new mean are equal.
Let's denote the old mean as x_old and the new mean as x_new.
The total sum of scores is equal to the number of students (17) multiplied by the mean score. Therefore, we can write:
x_old * 17 = (sum of the old scores)
After adjusting the highest and lowest scores, the new sum of scores would be:
(x_old + 7 + x_old - 4 + sum of the other 15 scores)
The new sum of scores can be simplified as:
2x_old + 3 + (sum of the other 15 scores)
Since the number of students and the other 15 scores remain the same, the new sum of scores can also be written as:
x_new * 17
Therefore, we have:
x_new * 17 = 2x_old + 3 + (sum of the other 15 scores)
Since the sum of the other 15 scores remains the same, we can rewrite it as:
x_new * 17 = 2x_old + 3 + (sum of the other 15 scores) = x_old * 17
Simplifying the equation:
x_new * 17 = x_old * 17
Dividing both sides by 17:
x_new = x_old
Therefore, the mathematical relation that connects the old mean (x_old) and the new mean (x_new) is x_new = x_old. This means that the old mean and the new mean are equal.
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how do i factor this?
I don't know how to show the work but the answer is:
2(4x^2+3x-2)
The Organic Chemistry Tutor could help if you need to show your work
Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 4.4% simple interest. He invested S2000 less in a 18-month CD that had a 3% simple interest return. If the total amount of interest from these investments was $1102.50, determine how much was invested in ench CD, Fernando invested In the 5-yr CD and 5 in the 18-month CD
Let x be the amount invested in the 5-yr CD and y be the amount invested in the 18-month CD.
We have the following equations:
0.044x + 0.03(x - 2000) = 1102.50 (total interest equation)
x + (x - 2000) = Total amount invested
Solving this system of equations will give the values of x and y
To determine how much was invested in each CD, we can set up a system of equations. Let x represent the amount invested in the 5-yr CD and y represent the amount invested in the 18-month CD.
The interest earned from the 5-yr CD can be calculated using the formula I = Prt, where I is the interest, P is the principal (amount invested), r is the interest rate, and t is the time in years. In this case, the interest equation for the 5-yr CD is 0.044x.
The interest earned from the 18-month CD can be calculated in the same way, using the formula I = Prt. However, since the time is given in months, we need to convert it to years by dividing by 12. The interest equation for the 18-month CD is 0.03(x - 2000).
The total interest earned from both CDs is $1102.50, so we have the equation 0.044x + 0.03(x - 2000) = 1102.50.
Additionally, the total amount invested is the sum of the amounts invested in each CD, which is x + (x - 2000).
By solving this system of equations, we can determine the values of x and y, representing the amounts invested in each CD. The solution to the system will provide the specific amounts invested in the 5-yr CD and the 18-month CD.
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sean prefers apples to clementines, and he prefers clementines to pears. if sean is rational, what would he choose if offered pears or apples?
Sean would choose apples over pears if he were offered both, based on his preference order of apples > clementines > pears and the assumption that his preferences are transitive.
Sean's preference order for fruits is: apples > clementines > pears. As a rational decision-maker, Sean would choose the option that he prefers the most. In this case, since he prefers apples over clementines and pears, if he were offered pears or apples, he would choose apples.
This decision is based on the assumption that Sean's preferences are transitive, meaning that if he prefers A to B and B to C, then he would prefer A to C. Therefore, choosing apples over pears is the most rational decision for Sean, based on his given preference order.
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If jack took 10 minutes longer to complete his biology quiz than to complete his algebre quiz he spent a tital of 1. 5 hours taking quizzes today how much time did he spend on algebra
Jack spent 40 minutes on his Algebra quiz. Then, according to the problem, he took 10 minutes longer, or $x+10$ minutes, to complete his Biology quiz.
The total time he spent taking quizzes is 1.5 hours, which is equal to 90 minutes. Therefore, we can set up the following equation:
+
(
+
10
)
=
90
x+(x+10)=90
Simplifying this equation, we get: 2 + 10 = 90 2x+10=90, Subtracting 10 from both sides, we get: 2 = 80 2x=80
Dividing both sides by 2, we get: =40 x=40, Therefore, Jack spent 40 minutes on his Algebra quiz.
In summary, Jack spent 40 minutes on his Algebra quiz and 50 minutes (10 minutes longer) on his Biology quiz. Together, these quizzes took him a total of 90 minutes or 1.5 hours.
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What is the solution to the equation –3.5(x + 12) = –2x + 18?
Answer:
x = -4.36364
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3.5(x + 12) = -2x + 18
Step 2: Solve for x
Distribute 3.5: 3.5x + 42 = -2x + 18Add 2x on both sides: 5.5x + 42 = 18Isolate x term: 5.5x = -24Isolate x: x = -4.36364Answer:
The answer I arrived at was x = -4.364
Step-by-step explanation:
3.5(x + 12) = -2x + 18
=> multiply 3.5 by everything in parenthesis
3.5x + 42 = -2x + 18
=> subtract 18 from both sides
3.5x + 24 = -2x
=> subtract 3.5x from both sides
24 = -5.5x
=> divide both sides by -5.5
-4.364 = x
perform the indicated operation 7/2x-2/3x
Answer:
Ans: n−√5
Step-by-step explanation:
Solve one third plus seven ninths equals blank
Question 1 options:
ten twenty sevenths
eight ninths
ten ninths
nine thirds
Answer:
the answer is 10/9.
Step-by-step explanation:
Please give BRANIEST and 5 stars if correct!
Answer:
ten ninths
Step-by-step explanation:
"one third plus seven ninths" can be rewritten symbolically as
1/3 + 7/9 and we note that the LCD is 9. Thus,
1/3 + 7/9 = 3/9 + 7/9 = 10/9 (or "ten ninths")
Laura has a strip of ribbon 1 m long. How many one thirds strips can be cut from it
From the given information provided, Laura can cut 3 one-thirds strips from the 1 meter long ribbon.
If Laura has a strip of ribbon 1 meter long, we need to find out how many one-thirds strips can be cut from it.
To do this, we need to divide the length of the ribbon by the length of each one-third strip:
Number of one-thirds strips = Length of ribbon / Length of one-third strip
The length of each one-third strip is 1/3 meters, since one-third of a meter is required to make each strip.
So we can substitute these values into the formula:
Number of one-thirds strips = 1 meter / (1/3 meter)
Number of one-thirds strips = 1 meter x (3/1)
Number of one-thirds strips = 3
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