Answer:
15
Step-by-step explanation:
5*6=30
8*4=32
30*16=480
480/32=15
Convert the angle θ=9π/5radians to degrees
Answer:
324 degrees
Step-by-step explanation:
pi is equivalent to 180, so just substitute pi for 180. Then mulitply it by 9 and then divide by 5
You borrow $30,000 to buy a car. The loan is to be paid off in 10 equal quarterly payments at 6% interest annual interest rate. The first payment is due one quarter from today. What is the amount of each quarterly payment (rounded)? A. $1,777. B. $2,803. C. $3,253. D. None of the above.
The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).
To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.
Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.
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help ill mark brainliest
Answer:
f(4) = -10
g(2) = 30
Step-by-step explanation:
Integration of algebraic expression. 1. f(4x³ - 3x² +6x-1) dx 2. √(x^² - 1/2 x ² + 1 + x - 2) dx 4 2 5 3. √ ( ²7/3 + 23²323 - 12/3 + 4 ) d x x³ 2x³ x² 2 4. S (√x³ + √x²) dx 5.f5x²(x³ +2) dx
The integration of the given algebraic expressions are as follows:
∫(4x³ - 3x² + 6x - 1) dx, ∫√(x² - 1/2 x² + 1 + x - 2) dx, ∫√(7/3 + 23²323 - 12/3 + 4) dx, ∫(√x³ + √x²) dx, ∫5x²(x³ + 2) dx
To integrate 4x³ - 3x² + 6x - 1, we apply the power rule and the constant rule for integration. The integral becomes (4/4)x⁴ - (3/3)x³ + (6/2)x² - x + C, where C is the constant of integration.
To integrate √(x² - 1/2 x² + 1 + x - 2), we simplify the expression under the square root, which becomes √(x² + x - 1). Then, we apply the power rule for integration, and the integral becomes (2/3)(x² + x - 1)^(3/2) + C.
To integrate √(7/3 + 23²323 - 12/3 + 4), we simplify the expression under the square root. The integral becomes √(23²323 + 4) + C.
To integrate √x³ + √x², we use the power rule for integration. The integral becomes (2/5)x^(5/2) + (2/3)x^(3/2) + C.
To integrate 5x²(x³ + 2), we use the power rule and the constant rule for integration. The integral becomes (5/6)x⁶ + (10/3)x³ + C.
Therefore, the integration of the given algebraic expressions are as mentioned above.
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At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.25 and the cost of a large greeting card is $4.50. How much would it cost to get 5 small greeting cards and 4 large greeting cards? How much would it cost to get
�
x small greeting cards and
�
y large greeting cards?
The cost of 5 small greeting cards and 4 large greeting cards is given by $24.25.
Total cost of x small greeting cards and y large greeting cards is given by $(1.25x + 4.5y).
Given that the cost of each small cards = $1.25
the cost of each big cards = $4.50
So the cost of 5 small cards = $1.25*5 = $6.25
the cost of 4 large greeting cards = $4.5*4 = $18
So total cost to get 5 small greeting cards and 4 large greeting cards = 6.25 + 18 = $24.25
Cost of x small greeting cards = $1.25x
Cost of y large greeting cards = $4.5y
Total cost of x small greeting cards and y large greeting cards = $(1.25x + 4.5y).
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-1, 5, 15, 29, 41,
What is the next terms
Answer:
63
Step-by-step explanation:
-1,5,15,29,41,63
between the 2nd term and first term, we add 6
between the 3rd and 2nd, we add 10
between 4th and 3rd, we add 14
between 5th and 4th, we add 12
to get the next term, we add 22 to the fifth tern which is 63
this is how to get the 4th term 6 interval was added to 8 making 14 and to get the fifth, then add 2 to the difference of 10 making 12. 29+12=41..so to get the last term 14 was added to 8 making 22 and therefore 41+22=63
If sin 2X = COS ZY and m2X = 72°, what is the measure of ZY?
18°
072°
90°
108°
Answer:
18°
Step-by-step explanation:
sin 2x=cos zy
m(2x)=72°
cos(π/2-a)=sin a
cos(π/2-72°)=sin72°
cos18°=sin72°
=>m(zy)=18°
What is 3x+7x=9-18? Math is confusing once you get into 7th grade.
Answer:
x-(-0.9)
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation::3*x+7*x-(9-18)=0
Solve::10x+9 = 0
Subtract 9 from both sides of the equation::10x = -9
Divide both sides of the equation by 10::x = -9/10 = -0.900
Answer:
x = -0.9Step-by-step explanation:
3x+7x=9-18
10x = -9
x = -9 / 10
x = -0.9
a test for a certain drug has a 0.1% probability of producing a false positive. if a company hired 500 drug-free employees, what is the probability of obtaining at least 1 false positive?
The probability of obtaining at least 1 false positive if the number of employees is 500 is 0.5
Probability
In the statistics concept, the probability refers the possible number of way of happening the particular event.
Given,
A test for a certain drug has a 0.1% probability of producing a false positive.
Here we need to find the probability of obtaining at least 1 false positive if a company hired 500 drug-free employees.
In the given question, we have the following values,
=> number of employees = 500
=> Probability of false positive = 0.1%
So, the probability of obtaining at least 1 false positive is calculated as,
=> 500 x 0.1/100
=> 5 x 0.1
=> 0.5
Therefore, the probability of obtaining at least 1 false positive is 0.5.
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MATH PLEASE DO THIS FOR BRAINLYIST
Answer: The percent of change in the perimeter is 100 percent and
the percent of change in the area is 300 percent .
Step-by-step explanation:
Rectangle is the closed shaped polygon with 4 sides. Opposite sides of the rectangle are equal. when the length and the width of the sandbox are doubled the percent of change in the perimeter is 100 percent and the percent of change in the area is 300 percent.
If b > a, which of the following must be true? A -a > -b B 3a > b C a² < b² D a² < ab
If b > a, then -a>-b and a²<b². The correct answers are option(A) and option(C)
To find which of the options are true, follow these steps:
If the inequality b>a is multiplied by -1, we get -a<-b. So option(A) is true.We cannot determine the relationship between 3a and b with the inequality a>b. So, option(B) is not true.Since a<b, on squaring the inequality we get a² < b². This means that option(C) is true.We cannot determine the relationship between a² and ab with the inequality a>b. So, option(d) is not true.Therefore, the correct options are option(A) and option(B)
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2x+3<23 (convert to word problem)
Answer:
two x plus three is less than twenty-three
Step-by-step explanation:
im not sure but I think that's how you do it
The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -9 < x < -4?
After answering the presented question, we can conclude that When we function simplify this expression, we get: rate of change = (f(-4) - f(-9)) / 5
what is function?Mathematicians study numbers and their permutations, equations and adjacent tissues, shapes and various positions, as well as potential locations for all of these things. The term "functioning" signifies the connection that exists between a set of inputs, each of which has its own output. A function is an input-output connection wherein every input results in a single, distinct return. Each function has a domain, codomain, or scope of its own. The letter f is frequently used to represent functions (x). An x denotes entering. The four main categories of accessible functions are on functions, one-to-one skills, so numerous skills, in capabilities, and on functions.
The formula for the average rate of change of a function f(x) across an interval [a,b] is:
(f(b) − f(a)) / average rate of change (b - a)
The spacing in this case is -9 x -4, therefore a=-9 and b=-4. As a result, the average rate of change of the function f(x) for this interval is as follows:
(f(-4) - f(-9)) / (-4 - (-9)) = average rate of change
When we simplify this expression, we get:
rate of change = (f(-4) - f(-9)) / 5
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What is the solution set to the inequality 5 x 2 )( x 4 0 ?.
The solution set to the given inequality is
(-∞, -4) U (2,∞)
What is inequality?
An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
5(x – 2)(x + 4) > 0
First we solve for x, we replace the inequality sign by = sign
5(x – 2)(x + 4) = 0
Divide both sides by 5
(x – 2)(x + 4) = 0
Now we set each factor =0 and solve for x
x-2 =0 , so x= 2
x+4 =0, so x= -4
Now we use number line and make three intervals
First interval -infinity to -4
second interval -4 to 2
third interval 2 to infinity
Now we check each interval with our inequality
First interval -infinity to -4, pick a number in this interval and check with our inequality. lets pick -5
5(-5 – 2)(-5 + 4) > 0
35>0 is true
second interval -4 to 2, pick a number in this interval and check with our inequality. lets pick 0
5(0– 2)(0 + 4) > 0
-40>0 is false
Third interval 2 to infinity, pick a number in this interval and check with our inequality. lets pick 3
5(3 – 2)(3 + 4) > 0
35>0 is true
solution set are the intervals that make the inequalities true
(-∞, -4) U (2,∞)
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Question:
What is the solution set to the inequality 5(x – 2)(x + 4) > 0?
Which of the following expressions will have a product greater than 4? pls answer with the questions in the pic
Answer:
Answer D
Step-by-step explanation:
Multiply them all out. D is 4.04
Answer: D is correct I took the test without having to see the answer just wanted to help u out:)
Step-by-step explanation:
Is the statement true or false?
If x = 6, then x can
only be equal to 6.
True
False
Copyright © 2003 - 2021 Asellus Corporation
The statement "If |x| = 6, then x can only be equal to 6" is false.
The absolute value of a number represents its distance from zero on the number line.
The expression |x| = 6 means that the distance of x from zero is 6. Therefore, x can be either positive or negative 6.
In this case, x can be either 6 or -6 because both numbers have an absolute value of 6.
Hence, x is not limited to being equal to only 6.
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A cell phone plan cost $27.70 per month for 500 minutes of talk time. It cost an additional $0.08 per minute for each minute over 500 minutes. To get email access, it cost 30% of the price for 500 minutes of talk time. Your bill, which includes email, is the same each month for 9 months. The total cost for all 9 months is $367.29. Write and solve an equation to find the number of minutes of talk time you use each month.
Answer:
567 minutes each month.
Step-by-step explanation:
Let x be the number of minutes of talk time used each month.
The cost for talk time beyond 500 minutes is $0.08 * (x - 500)
The cost for email is $27.70 * 0.3 = $8.31
The total monthly cost is $27.70 + $0.08 * (x - 500) + $8.31 = $35.99
The total cost for 9 months is $35.99 * 9 = $323.91
So we can set up the equation:
$27.70 + $0.08 * (x - 500) + $8.31 * 9 = $367.29
Solving for x, we get:
x = 567
So the number of minutes of talk time used each month is 567 minutes.
workout area helppp !!!
Answer:
ayyyyytttsss.........
1. K + 12 > 20, if k = 15
true or false
Answer:
true
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!
Answer:
27.6%
Step-by-step explanation:
See the attached worksheet. Find the total number of marbles (29) and then take the green marbles and divide by the total and multiply by 100%. (8/29)*(100%) = 27.6% to the nearest tenth.
you can use either a(n) ___ variable or a bool variable to store the value of a logical expression.
You can use either a numerical (integer or floating-point) variable or a Boolean variable to store the value of a logical expression.
Numerical Variable: You can use a numerical variable, such as an integer or floating-point variable, to store the result of a logical expression. In this case, the logical expression would be evaluated and assigned a numerical value, typically 0 or 1, representing false or true, respectively. For example, if you have a logical expression "x > 5", you can assign the result to a numerical variable like "result = (x > 5)", where the value of "result" would be 0 if the expression is false and 1 if it is true.
Boolean Variable: Alternatively, you can use a Boolean variable to directly store the truth value of a logical expression. A Boolean variable can only have two possible values: true or false. In this case, the logical expression would be evaluated and directly assigned to the Boolean variable. For example, if you have a logical expression "x > 5", you can assign the result to a Boolean variable like "isGreaterThanFive = (x > 5)", where "isGreaterThanFive" would be true if the expression is true and false if it is false.
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Which is the graph of f (x ) = x^3 + 2x^2 – 4x– 1?-(Notice the increments on the graph are by 2.)
We must identify which graph corresponds to the function:
\(f(x)=x^3+2x^2-4x-1.\)1) The function f(x) is a polynomial of degree 3, so it has 3 roots, i.e. it must cross the x-axis in 3 places. Taking into account this fact, we know that the 1st and 3rd graphs cannot represent the function f(x).
2) Now, when x takes a very big value, the cubic term of the polynomial dominates, and f(x) > 0 for x → ∞. From the remaining options, we see that the 2nd takes f(x) < 0 for x → ∞, so we can discard that option. The remaining option is the 4th graph, so we conclude that that is the correct option.
Answer: 4th graph.
4(2x - 5) = 5x +4
X = ....
if someone can please explain to me how to work this out it would be great
Answer: x = 8
To solve the equation 4(2x - 5) = 5x + 4, you can follow these steps:
1. Distribute the 4 on the left-hand side of the equation:
8x - 20 = 5x + 4
2. Simplify by combining like terms on each side of the equation:
8x - 5x = 4 + 20
3x = 24
3. Solve for x by dividing both sides of the equation by 3:
x = 8
Therefore, x = 8 is the solution to the equation 4(2x - 5) = 5x + 4.
Worth 15 points! (if you want the points and put random words your gonna be reported)
Math problem :
Jerry’s rhombus has a base of 15 inches and a height of 9 inches. Charlene’s rhombus has a base and height that are 1/3 the base and height of Jerry’s rhombus. Compare the area of Charlene’s rhombus to the area of Jerry’s rhombus.
Question :
The area of Charlene's rhombus is _______ of the area of Jerry's rhombus.
Jerry’s rhombus has an area of 15 x 9. The base of Charlene’s rhombus is ________ inches and the height is ________ inches, giving it an area of ________.
The complete statement:
The area of Charlene's rhombus is 1/9 (or 1 out of 9) of the area of Jerry's rhombus, which has an area of 135 square inches.
The base of Charlene's rhombus is 5 inches and the height is 3 inches, giving it an area of 15 square inches.
Jerry's rhombus has a base of 15 inches and a height of 9 inches, so its area is given by:
Area of Jerry's rhombus = base × height = 15 inches × 9 inches = 135 square inches.
Now, Charlene's rhombus has a base and height that are 1/3 the base and height of Jerry's rhombus. Therefore:
Base of Charlene's rhombus = (1/3) × 15 inches = 5 inches.
Height of Charlene's rhombus = (1/3) × 9 inches = 3 inches.
The area of Charlene's rhombus can be calculated as:
Area of Charlene's rhombus = base × height = 5 inches × 3 inches = 15 square inches.
To compare the areas of the two rhombuses:
Area of Charlene's rhombus / Area of Jerry's rhombus = 15 square inches / 135 square inches.
Simplifying the fraction, we get:
Area of Charlene's rhombus / Area of Jerry's rhombus = 1/9.
Therefore, the area of Charlene's rhombus is 1/9 (or 1 out of 9) of the area of Jerry's rhombus.
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How 1 U.S tablespoons to Fluid ounce?
1 U.S. tablespoon is equivalent to 0.5 U.S. fluid ounces. A U.S. tablespoon is a unit of volume commonly used in cooking and baking, and it is equivalent to 3 teaspoons or 0.5 fluid ounces.
A fluid ounce is also a unit of volume, but it is typically used to measure liquids, such as water or milk. One U.S. fluid ounce is equal to 2 tablespoons, so 1 U.S. tablespoon is half of a U.S. fluid ounce. It is important to use the correct unit of measurement when following a recipe or measuring ingredients to ensure that the final result turns out as expected.
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Evaluate each expression for a = 2, b = 3 and c = -6
8-2ab
Answer:
-4
Step-by-step explanation:
8 - 2ab
8 - (2 * 2 * 3)
8 - 12
= -4
factorize p^2+pq-pqr
Answer:
p(p+q-qr)
Step-by-step explanation:
p^2+pq-pqr
Factor out a p
p(p+q-qr)
Answer:
p(p+q-qr)
Step-by-step explanation:
p^2 +pq-pqr
= p(p+q-qr)
true or false? z-score helps to determine how far a particular value is from the mean relative to the data setâs standard deviation.
Answer:
True
Step-by-step explanation:
True. A z-score, also known as a standard score, is a statistical measure that helps to determine how far a particular value is from the mean relative to the data set's standard deviation.
A z-score is a dimensionless quantity that expresses the distance between a particular value and the mean of a distribution in terms of the number of standard deviations that the value is from the mean. A positive z-score indicates that the value is above the mean, while a negative z-score indicates that the value is below the mean.
To calculate the z-score for a given value, the formula is: z = (x - μ) / σ where z is the z-score, x is the value being considered, μ is the mean of the data set, and σ is the standard deviation of the data set.
For example, if the mean of a data set is 50 and the standard deviation is 10, and we are interested in finding the z-score for a value of 65, the calculation would be: z = (65 - 50) / 10 = 1.5. This indicates that the value of 65 is 1.5 standard deviations above the mean of the data set.
Z-scores are useful for comparing values across different data sets or for identifying extreme values in a data set. Values with high positive or negative z-scores are typically considered to be outliers, indicating that they are further from the mean than most other values in the data set.
In summary, the statement "z-score helps to determine how far a particular value is from the mean relative to the data set's standard deviation" is true. Z-scores are a statistical measure that help to express the distance between a particular value and the mean of a distribution in terms of the number of standard deviations that the value is from the mean.
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Please fill in the missing cells and describe the rule
Answer:
The OUT for -3 is 6, and the OUT for 1 is 2.
Step-by-step explanation:
The rule is for any x, OUT(x) = IN(x) * (x+1)
Below is showing the rule:
IN=2: 2*3=6
IN=4: 4*5=20
IN=10: 10*11=110
etc.
If I helped, a brainliest would be greatly appreciated!
The temperature at the point (x,y) on a metal plate is
T=x/x2+y2
Find the direction of greatest increase in heat from the point (2, 5).
The direction of the greatest increase in heat from the point (2, 5) is in the direction of the vector (-21, -20).
To find the direction of the greatest increase in heat from point (2, 5), we need to find the gradient vector of the temperature function T(x,y) at that point, and then determine the direction in which the gradient vector points.
The gradient vector of T(x,y) is given by:
∇T(x,y) = (∂T/∂x)i + (∂T/∂y)j
where i and j are the unit vectors in the x and y directions, respectively.
Taking the partial derivatives of T(x,y) with respect to x and y, we get:
∂T/∂x = (x² - y²)/(x² + y²)²
∂T/∂y = -2xy/(x² + y²)²
Substituting x = 2 and y = 5, we get:
∂T/∂x = (4 - 25)/(29)² = -21/1681
∂T/∂y = -20/1681
Therefore, the gradient vector of T(x,y) at the point (2, 5) is:
∇T(2,5) = (-21/1681)i - (20/1681)j
The direction of the greatest increase in heat from points (2, 5) is in the direction of the gradient vector. We can normalize the gradient vector to get the unit vector in this direction:
u = (∇T(2,5))/|∇T(2,5)|
where |∇T(2,5)| is the magnitude of the gradient vector, given by:
|∇T(2,5)| = √((-21/1681)² + (-20/1681)²) = sqrt(841)/1681 = 1/41
Thus, the unit vector in the direction of greatest increase in heat from the point (2, 5) is:
u = (-21/1681i - 20/1681j)/(1/41) = -21i - 20j
Therefore, the direction of the greatest increase in heat from points (2, 5) is in the direction of the vector (-21, -20).
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