Answer:
what is question?
Step-by-step explanation:
What is the product of 50% of 30 and 25% of 40?
Answer:
50% of 30 is 15. 25% of 40 is 10. So, the product of 50% of 30 and 25% of 40 is 150.
Here's the calculation:
```
(50/100) * 30 * (25/100) * 40 = 150
```
Step-by-step explanation:
the power to which a number or expression is raised
The power to which a number or expression is raised is called the exponent.
1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.
2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.
3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.
4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:
- Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.
- Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).
- Zero exponent: Always equals 1. For example, \(2^0\) = 1.
- Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.
5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).
Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.
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This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts using the given information. (Round your answers to the nearest whole number.) A = 29°, c = 26 m 0 B = 3 = m b = m Need Help? Read It 10. [-/3 Points] DETAI MCKTRIG8 2.3.025. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts using the given information. (Round your answers to one decimal place.) A = 33.3⁰, a = 43.7 inches 8 = CH in b = in
Using the given information, in the right triangle ABC with C = 90°, A = 33.3°, a = 43.7 inches, we can solve for the missing parts: b ≈ 76.6 inches and B ≈ 56.7°.
Given the right triangle ABC with C = 90°, A = 29°, c = 26 m, and B = 3°, we need to solve for the missing parts.
To find the missing side lengths and angles, we can use trigonometric functions such as sine, cosine, and tangent.
To find side a:
We can use the sine function: sin(A) = a / c
Substituting the known values, we have: sin(29°) = a / 26
Solving for a, we get: a ≈ 26 \(\times\) sin(29°)
Calculating this value, we find: a ≈ 12.84 m (rounded to two decimal places).
To find side b:
Using the Pythagorean theorem: \(a^2 + b^2 = c^2\)
Substituting the known values, we have: \((12.84)^2 + b^2 = (26)^2\)
Simplifying and solving for b, we get: b ≈ \(\sqrt{((26)^2 - (12.84)^2)}\)
Calculating this value, we find: b ≈ 22.61 m (rounded to two decimal places).
To find angle B:
We can use the sine function: sin(B) = b / c
Substituting the known values, we have: sin(B) = 22.61 / 26
Solving for B, we find: B ≈ arcsin(22.61 / 26)
Calculating this value, we find: B ≈ 57.6° (rounded to one decimal place).
Therefore, the missing parts of the triangle are:
a ≈ 12.84 m (rounded to two decimal places),
b ≈ 22.61 m (rounded to two decimal places),
and B ≈ 57.6° (rounded to one decimal place).
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I need help please and thanksss
Answer:
64
Step-by-step explanation:
Trust me, this is the answer, PLEASE GIVE ME BRAINLIEST
9. Jackie is an airline mechanic. Her company pays \( 40 \% \) of the \( \$ 3,900 \) annual cost of group health insurance. How much does she pay for it monthly? (4 points)
Jackie pays $130 monthly for her group health insurance.
To find out how much Jackie pays for her group health insurance monthly, we need to calculate 40% of the annual cost. Given that the annual cost is $3,900 and her company pays 40% of that, we can calculate the amount Jackie pays.
First, we find the company's contribution by multiplying the annual cost by 40%: $3,900 × 0.40 = $1,560. This is the amount the company pays towards Jackie's health insurance.
To determine Jackie's monthly payment, we divide her annual payment by 12 (months in a year) since she pays monthly. So, Jackie's monthly payment is $1,560 ÷ 12 = $130.
Therefore, Jackie pays $130 per month for her group health insurance. This calculation takes into account the company's contribution of 40% of the annual cost, resulting in an affordable monthly payment for Jackie.
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Rewrite the expression in exponential form.
Answer:
\(a^{\frac{1}{3} }\)
Step-by-step explanation:
Apply rule: \(\displaystyle \sqrt[n]{x} =x^{\frac{1}{n}\)
\(\sqrt[3]{a} =a^{\frac{1}{3} }\)
Mrs. Attaway has 5 girls and 16 boys in her first-grade class. Three children are selected at random to participate in a PTA program. Find the probability that two are girls and one is a boy. (Round your answer to three decimal places.)
The probability that two children selected at random from Mrs. Attaway's first-grade class are girls and one is a boy is 0.120.
To find the probability that two children selected at random from Mrs. Attaway's class are girls and one is a boy, we need to calculate the number of favorable outcomes (selecting two girls and one boy) and divide it by the total number of possible outcomes.
The total number of children in the class is 5 girls + 16 boys = 21 children.
To calculate the probability, we need to determine the number of ways to select two girls from the five available girls and one boy from the 16 available boys. This can be done using combinations.
The number of ways to select two girls from five is given by the combination formula:
C(5, 2) = 5! / (2! * (5 - 2)!)
= 5! / (2! * 3!)
= (5 * 4) / (2 * 1)
= 10
Similarly, the number of ways to select one boy from 16 is given by the combination formula:
C(16, 1) = 16
The total number of favorable outcomes is the product of these two combinations: 10 * 16 = 160.
Now, let's calculate the total number of possible outcomes when selecting three children from the class:
C(21, 3) = 21! / (3! * (21 - 3)!)
= 21! / (3! * 18!)
= (21 * 20 * 19) / (3 * 2 * 1)
= 1330
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = favorable outcomes / total outcomes
= 160 / 1330
≈ 0.120 (rounded to three decimal places)
Therefore, the probability that two children selected at random from Mrs. Attaway's first-grade class are girls and one is a boy is 0.120.
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Find the volume of this cylinder. Use 3 for T.
V = πr²h
V = π [?]²
Hint: Plug in the value of r.
The diameter is 8.
The radius is half this value.
8 cm
20 cm
The volume of the cylinder is approximately 960 cubic centimeters.
To find the volume of the cylinder, we need to use the formula V = πr^2h, where r is the radius of the cylinder, h is its height, and π is the mathematical constant approximately equal to 3.14.
Given that the diameter of the cylinder is 8 cm, we can find the radius by dividing the diameter by 2:
radius (r) = diameter / 2
r = 8 cm / 2
r = 4 cm
We are also given that the height of the cylinder is 20 cm.
Substituting the values for r and h into the formula, we get:
V = πr^2h
V = π(4 cm)^2(20 cm)
V = π(16 cm^2)(20 cm)
V = 320π cm^3
Using the value of π as 3, we can approximate the volume as:
V ≈ 320(3)
V ≈ 960 cm^3
When the value of π is rounded to 3 and the radius is 4 cm and the height is 20 cm.
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The area of a rectangle is 342 square units. Its length measures 19 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.
pen
Answer:
Step-by-step explanation:15.6
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What is the coefficient of the third term in this expression?
–k2n+5mn3–9n3–m3n
Answer:
27
Step-by-step explanation:
9x3 is 27. Coefficient is the number in the term.
help me pls 2mins left
Answer:
(5,1)
Step-by-step explanation:
A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.
brainliest pls
what point satfys the inequality y < -1/3x + 3
A point that satisfies the inequality y < -1/3x + 3 is (0, 3) or (9, 0).
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Next, we would use an online graphing calculator to plot (graph) the given inequality (y < -1/3 x + 3) in order to determine the point that satisfies it, which is the ordered pair (0, 3) or (9, 0).
y < -1/3 x + 3
3 < -1/3 (0) + 3
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Complete Question:
What point satisfies the inequality y < -1/3x + 3?
What is the minimum value?
Answer:
The minimum value of a function is the lowest point of a vertex. If your quadratic equation has a positive a term, it will also have a minimum value. ... If you have the equation in the form of y = ax^2 + bx + c, then you can find the minimum value using the equation min = c - b^2/4a.
two mice live in a subway station. if the number of mice triples every 6 months, how many mice will live in the subway in 4 years? (They are looking for exponential growth)
Answer: it will be 48 in 4 years.
Step-by-step explanation: If it’s triples every 6 months that mean times 3 so 2 times 3 is 6 and since there are 12 months you can also do times 6 so 2 times 6 is 12 . And it’s 4 years so 12 times 4 is 48
In a class of 30 students, 15 students have taken English, 10 students have taken English but not French. Find the number of students have taken: (i) French, and (ii) French but not English.
By using arithmetic operation, we get Number of students taken French is 20 and Number of students taken French not English is 5
What do you mean by arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
Given:
Total no. of students is \(30\)
Number of students taken English is \(15\)
Number of students taken English but not French is \(10\)
(i) Number of students taken French = Total no. of students - Number of students taken English but not French
\(= 30-10\\=20\)
(ii) Number of students taken French not English = Number of students taken French - Number of students taken English
\(=20-15\\=5\)
Therefore, by using arithmetic operation, we get Number of students taken French is 20 and Number of students taken French not English is 5
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Answer:
By using arithmetic operation, we get Number of students taken French is 20 and Number of students taken French not English is 5
What do you mean by arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
Given:
Total no. of students is
Number of students taken English is
Number of students taken English but not French is
(i) Number of students taken French = Total no. of students - Number of students taken English but not French
(ii) Number of students taken French not English = Number of students taken French - Number of students taken English
Therefore, by using arithmetic operation, we get Number of students taken French is 20 and Number of students taken French not English is 5
List all the positive divisors of $54.$ enter your divisors separated by commas.
The positive divisors of $54$ are $1, 2, 3, 6, 9, 18, 27,$ and $54$.
To find all the positive divisors of a number, we need to list all the factors of that number. In the case of $54$, we can start by listing all the factors of $2$ and $27$, the prime factors of $54$. The factors of $2$ are $1$ and $2$, while the factors of $27$ are $1$, $3$, $9$, and $27$.
To find all the factors of $54$, we can combine these factors in all possible ways. This gives us $1\times 1=1$, $1\times 2=2$, $1\times 3=3$, $1\times 6=6$, $1\times 9=9$, $1\times 18=18$, $1\times 27=27$, $1\times 54=54$, $2\times 1=2$, $2\times 2=4$, $2\times 3=6$, $2\times 6=12$, $2\times 9=18$, $2\times 18=36$, $2\times 27=54$.
Out of these, only the ones where we use each factor at most once are positive divisors of $54$. This gives us $1, 2, 3, 6, 9, 18, 27,$ and $54$ as the positive divisors of $54$.
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_____ is defined as the process by which people evaluate the events, situations, or occurrences that lead to their having emotions.
Appraisal is defined as the process by which people evaluate the events, situations, or occurrences that lead to their having emotions.
Appraisal refers to the cognitive process through which individuals assess and evaluate the various events, situations, or occurrences that trigger emotional responses within them. It involves the interpretation and analysis of the meaning and significance of these events, which ultimately influences the emotional experience and response. During the appraisal process, individuals assess several key factors, such as the relevance of the event to their goals, the implications and consequences of the event, and the personal significance it holds for them. They also evaluate their ability to cope with or manage the event and consider the potential for future similar events. The appraisal process is subjective and influenced by individual beliefs, values, and previous experiences. Different people may appraise the same event differently, leading to variations in emotional responses.
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What is the solution to 1/2 |x| = -3?
Answer: 1/2 |x| = -3?
Step-by-step explanation:
A delivery company's charge for an overnight package weighing in excess of one pound is given by the formula c= 2.53w + 15, 16
where w is the weight of package in pounds. Find the following.
A tree casts a shadow that is 7 feet long. A person nearby casts a shadow that is 3.5 feet long. The person is
5 feet tall. What is the height of the tree?
HELP ASAP!!!! HELP HELP
Answer:
proportional
Step-by-step explanation:
Answer:
I'm 99% sure it's Non-Proportional
Step-by-step explanation:
If you were to convert each of them into fractions and simplified them, they wouldn't be equivalent.
For each figure, complete the statement a/b = ?/?.
Answer:
r/r+s
Step-by-step explanation:
a/b is essentially a/a+x, where x is (b-a) + a
so,
a/b = r/r+s
Analytically show that the equations below represent trigonometric identity statements. 1. sec²θ (1-cos²θ) 2. cosx(secx-cosx) = sin²x 3. cosθ + sinθtanθ = secθ 4. (1- cos∝)(cosec∝+cot∝)= cos∝ tan∝
To show that the given equations represent trigonometric identity statements, we will simplify each equation and demonstrate that both sides of the equation are equal.
Starting with sec²θ(1 - cos²θ):
Using the Pythagorean identity sin²θ + cos²θ = 1, we can rewrite sec²θ as 1 + tan²θ. Substituting this into the equation, we get:
(1 + tan²θ)(1 - cos²θ)
= 1 - cos²θ + tan²θ - cos²θtan²θ
= 1 - cos²θ(1 - tan²θ)
= sin²θ
Thus, the equation simplifies to sin²θ, which is a trigonometric identity.
For cosx(secx - cosx) = sin²x:
Using the reciprocal identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the equation as:
cosx(1/cosx - cosx)
= cosx/cosx - cos²x
= 1 - cos²x
= sin²x
Hence, the equation simplifies to sin²x, which is a trigonometric identity.
Considering cosθ + sinθtanθ = secθ:
Dividing both sides of the equation by cosθ, we obtain:
1 + sinθ/cosθ = 1/cosθ
Using the identity tanθ = sinθ/cosθ, the equation becomes:
1 + tanθ = secθ
This is a well-known trigonometric identity, where the left side is equal to the reciprocal of the right side.
Simplifying (1 - cos∝)(cosec∝ + cot∝):
Expanding the expression, we have:
cosec∝ - cos∝cosec∝ + cot∝ - cos∝cot∝
= cot∝ - cos∝cot∝ + cosec∝ - cos∝cosec∝
= cot∝(1 - cos∝) + cosec∝(1 - cos∝)
= cot∝tan∝ + cosec∝sec∝
= 1 + 1
= 2
Thus, the equation simplifies to 2, which is a constant value.
In summary, we have analytically shown that the given equations represent trigonometric identity statements by simplifying each equation and demonstrating that both sides are equal.
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Janice draws a card from a standard deck and places it face down on a table without looking at it. She then draws a second card. What is the probability that the first card is a spade and the second card is a heart? Round your answer to three decimal places.
the probability that the first card is a spade and the second card is a heart is approximately 0.064. Hence, the answer is 0.064.
Given that Janice draws a card from a standard deck and places it face down on a table without looking at it. She then draws a second card. We have to find the probability that the first card is a spade and the second card is a heart.To solve the given problem, we will use conditional probability. Let's see how;We know that the probability of drawing a spade as the first card is P(Spade) = 13/52As there are 13 cards of spades in a deck of 52 cards.Similarly, the probability of drawing a heart as the second card, given that the first card is a spade, is P(Heart | Spade) = 13/51.
We have 13 hearts in the deck of 51 cards as one card has already been removed in the first draw.So, the probability that the first card is a spade and the second card is a heart is: P(Spade and Heart) = P(Spade) × P(Heart | Spade)P(Spade and Heart) = 13/52 × 13/51P(Spade and Heart) = 169/2652 = 0.0638 ≈ 0.064So, the probability that the first card is a spade and the second card is a heart is approximately 0.064. Hence, the answer is 0.064.
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A circle has a circumference of 7{,}8507,8507, comma, 850 units. What is the radius of the circle?
Use 3. 14 for pi and enter your answer as a decimal
Movie theaters exploit your senses by filling the air with the scent of popcorn.
Answer:
Fax
Step-by-step explanation:
Help please!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
Answer:
I believe the answer is A
Step-by-step explanation:
Since on B, Negative 2.47 is less than Negative 2.28 So thats wrong.
C is just plain wrong.
D is 3, 7.5, 7.6, .22
A car driving at 10.0 m/s southward accelerates at 4.11 m/s2 southward for 7.25 s. what is the car's speed after this amount of time?
The car's speed after the given amout of time is 19.8 m/s²
How would you define acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.
Average Acceleration =Change in Velocity/ Time Taken
So Change in Velocity is 10-x m/s
Time taken is 7.25 s
Given accelaration 4.11 m/s²
Putting the values we get,
4.11 = (10-x)/7.25
⇒29.8 = 10-x
⇒x=19.8 m/s²
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Find the values of x.
Answer:
x = 8
Step-by-step explanation:
Using the exterior angle theorem, we know that y = 90 + 6x, and y also equals 180-(5x+2)
So we can write an equality statement
90+6x=180-(5x+2)
Open parenethesis
90+6x=180-5x-2
Same to both sides
6x = 88 - 5x
11x = 88
x=8
Check work:
11x + 2 = 90
88+2 = 90
90 does equal 90.
Let me know if you have any questions
Find the derivative of p(x) with respect to x where p(x)=(5x³+3x−3)(2x²+3x+4) F Iune has duswer was. 50x⁴+60x³+78x 2+6
To find the derivative of p(x) = (5x³ + 3x - 3)(2x² + 3x + 4) with respect to x, we apply the product rule of differentiation. By applying this rule and simplifying the expression, we can find the derivative of p(x).
To find the derivative of p(x) = (5x³ + 3x - 3)(2x² + 3x + 4), we apply the product rule:
p'(x) = (5x³ + 3x - 3)(d/dx)(2x² + 3x + 4) + (d/dx)(5x³ + 3x - 3)(2x² + 3x + 4)
To find the derivative of each individual term, we can use the power rule and the sum rule of differentiation.
Taking the derivatives, we have:
p'(x) = (5x³ + 3x - 3)(4x + 6) + (5(3x²) + 3)(2x² + 3x + 4)
Simplifying this expression, we obtain:
p'(x) = 50x⁴ + 60x³ + 78x² + 6
Therefore, the derivative of p(x) with respect to x is 50x⁴ + 60x³ + 78x² + 6.
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