the formula of the area of a triangle is A=1/2bh what is the length of the base if the area is 22cm and the height is 8cm
At the city park there were 15 blue jays, 6 cardinals, and 9 mockingbirds. For each of the following questions set up a proportion equation and solve for the unknown. 1. If there were 6 mockingbirds, how many cardinals would there be at the park? 2. If there were 5 blue jays, how many cardinals would there be at the park? 3. If there were 20 cardinals, how many mockingbirds would there be at the park?
The sum of three numbers is 45 the second of the three numbers is three more than twice the first number, ×. The thurd number is two more than the first number, ×. Which equation can be used to solve the first number
Answer:
Step-by-step explanation:
We know that the 1st equation + 2nd equation + 3rd equation = 45. Now we just need to identify from the infor given what these equations are, then set them to equal 45.
It has already been determined that the 1st equation is x.
The second equation is "3 more than twice the first". Twice the first is 2x, and 3 more is +3; therefore, the second equation is: 2x + 3.
The third equation is "2 more than the first". 2 more than is +2, so the third equation is x + 2.
Now we have all 3:
1st: x
2nd: 2x + 3
3rd: x + 2
Add them all up and set them equal to 45:
x + 2x + 3 + x + 2 = 45.
You don't have choices listed, so it's either that one above, or simplified down to:
4x + 5 = 45
After that, any simplification done will be solving the equation.
What is the factorization of 49b2 − 81? (7b – 9)(7b – 9) (7b – 9)(7b + 9) (7b2 – 9)(7b2 – 9) (7b2 – 9)(7b2 + 9)
The factorization of 49b² - 81 using the difference of squares formula is (7b - 9)(7b + 9).
Explanation:The question is asking to factorize the expression 49b² - 81, which is a difference of two squares. The difference of squares formula is a² - b² = (a - b)(a + b). In your question, a² is 49b² and b² is 81. Therefore, a would be 7b (since square root of 49b² is 7b) and b would be 9 (since square root of 81 is 9).
Thus, using the formula, the factorization of 49b² - 81 will be (7b - 9)(7b + 9). This provides an explanation of the concepts involved and the steps followed in the solution.
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a 204 inch board is cut into two pieces. one piece is five times the length of the other.find the lengths of the two pieces
Kristin jogs around a park that has a perimeter of 12 mile. Kristin jogged around the park 4 times in 50 minutes.
What is the unit rate of Kristin's speed?
12 *4 = 48 total miles in 50 minutes
48 / 50/60 = 57.6 miles per hour
Javier By 48 cards at a yard sale. Of the cards 3/8 were basketball cards how many cards were baseball card
what is the 3sqaure root of 0.027y^9 = ?
Hamza bought 8 gallons of brown paint to paint his kitchen and dinning room. Unfortunately, when hamza started painting, he thought the paint was too dark for his house,so he wanted he wanted to make it lighter. The store manager would not let hamza return the paint but did inform that if he used 1 4 of a gallon of white paint mixed with 2 gallons of brown paint, he would get the shade of brown he desires. If hamza decided to take this approach, how many gallons of white paint would hamza have to buy to lighten the 8 gallons of brown paint?
Garrett has deposited $519 in a savings account that earns interest at a rate of 4.2% compounded daily. What will the account balance be in 17 years?
''Please Help!!'' says Kuku and Yaya
A middle-school band holds a car wash to raise money. The sixth-grade band members wash 16 cars. The seventh-grade band members wash 75% as many cars as the sixth-graders. The eighth-grade band members wash half as many cars as the sixth- and seventh-grade band members combined.
If the band charges $5 per car, how much money did the members raise altogether?
The probability that a dvd player produced by vca television is defective is estimated to be 0.06. a sample of ten players is selected at random. (round your answers to four decimal places.) (a) what is the probability that the sample contains no defective units? correct: your answer is correct. (b) what is the probability that the sample contains at most two defective units?
100.6 - 30.06 show me it in vertically form (show work)so I can understand how to regroup it.
To vertically subtract 30.06 from 100.6, start by borrowing 1 from the tens place and adding it to the ones place. Then, borrow 10 from the hundreds place and add it to the tens place. Finally, combine the result to get 70.54.
Explanation:To vertically subtract 30.06 from 100.6, you'll need to line up the decimal points vertically. Start by subtracting the hundredths place (0.06) from the hundredths place (0.00). Since 6 is bigger than 0, you'll need to regroup. Borrow 1 from the tens place by making it 9, and add it to the ones place, making it 10. Then, you can subtract 6 from 10, which gives you 4. Next, subtract the whole number part (30) from the whole number part (100). Since 0 is smaller than 3, regroup again by borrowing 10 from the hundreds place and adding it to the tens place, making it 20. Then, subtract 3 from 10, which gives you 7. Finally, combine the result by placing the decimal point in the correct position, which gives you the answer: 70.54.
The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13 centimeters. What is the approximate surface area of the cone? Use 3.14 for π and round to the nearest whole number. 267 cm2 283 cm2 456 cm2 487 cm2
Answer:
Option B. is the correct option.
Step-by-step explanation:
The circular base of a cone has a radius of 5 cm. The height of the cone is 12 cm. Slant height of the cone is 13 cm.
We have to calculate the approximate surface area of the cone.
Since we know Surface area of a cone = Area of circular base + lateral area of the cone
Now Surface area of a cone = πr² + πrl = πr(r + l)
By putting the values of the dimensions of a cone in the formula.
S.A. = π (5² + 5×13) = 3.14×(25 + 65) = 3.14×(90) = 282.60 ≈ 283 cm²
Therefore, Option B is the correct option.
write words to match the expression
3+(4×12)
What is the answer to this problem
rewrite 4/21 and 2/9 so that they have a common denominator, then use <, > or =
1/4x + 1/3 = 1/6x - 1/4
Algebraically determine if the relation y = x3 − 4x is symmetric with respect to the x-axis, y-axis, the origin or has no symmetry.
Final answer:
Algebraically, the relation y = x^3 - 4x is not symmetric to the x-axis or y-axis but is symmetric with respect to the origin when both x and y are replaced with their negatives.
Explanation:
To determine if the relation y = x3 − 4x is symmetric with respect to the x-axis, y-axis, or the origin, we perform a series of tests substituting -x for x (to test y-axis symmetry), -y for y (to test x-axis symmetry), and both -x for x and -y for y (to test origin symmetry).
Y-axis symmetry test:
Replace x with -x:
y = (-x)3 - 4(-x)
y = -x3 + 4x ≠ x3 − 4x (not symmetric to y-axis)
X-axis symmetry test:
Replace y with -y:
-y = x3 - 4x ⇒ y = -x3 + 4x ≠ x3 − 4x (not symmetric to x-axis)
Origin symmetry test:
Replace both x with -x and y with -y:
-y = (-x)3 - 4(-x)
-y = -x3 + 4x
y = x3 − 4x (symmetric to origin)
Describe two situations in which opposite quantities combine to make zero
In the situation, x + (-x) is combined making zero and other y + (-y) is making zero.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.
Summation = addition of two or more numbers or variable
Subtraction = Minus of any two or more numbers with each other called subtraction.
Division = divide any two numbers or variable called division.
Multiplication = to multiply any two or more numbers or variables called multiplication.
If we combine any two opposite quantities then their summation must be zero.
For example,
if you combine 5 and -5 then it will be 0.
If you combine 10 and -10 then it will be 0.
So,
The first situation ⇒
Combining x and -x
x + (-x) = 0
The second situation ⇒
Combining y and -y
y + (-y) = 0
Hence, In the situation, x + (-x) is combined making zero and other y + (-y) makes zero.
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A model for the population in a small community after t years is given by P(t)=P0e^kt.
a)If the initial population doubled in 5 years, how long will it take to have tripled its initial population?
b)In addition, if the population of the community is 10,000 in 3 years, what was its initial population?
Kent caught an 8 pound 3 ounce trout in Pike Lake. The season's record catch so far is 129 ounces. Did Kent's fish beat the record?
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Costumers can pick their own berries at the gooseberry farm....
Find the mean of the given set of numbers. 3, 3, 8, 6, 7, 3
Simplify. Assume that all variables represent positive real numbers. sqrt y^9
Simplify 7x+3y-2+6x-1-y^2
How is multiplying and dividing numbers in scientific notation different from adding and subtracting numbers in scientific notation?
In scientific notation, multiplication involves multiplying the numbers before the exponents and adding the exponents, while division involves dividing the numbers before the exponents and subtracting the exponents. Addition and subtraction require the numbers to have the same exponent.
Explanation:
Multiplying and dividing numbers in scientific notation is different from adding and subtracting It's useful to know how to use scientific notation, especially in fields like astronomy where large numbers are common. Numbers in scientific numeration are written with one number to the left of the decimal point. For example, 500,000,000 will be expressed as 5 × 10⁸.
When we multiply two numbers in scientific notation, we multiply the numbers out front and then add the exponents. For instance, if we are multiplying (3 × 10⁵) × (2 × 10¹⁰), our answer will be 6 × 10¹⁵.
On the other hand, to divide two numbers in scientific notation, we divide the numbers out front and then subtract the exponents. For example, if we are dividing 1.2 x 10⁶ by 2 x 10³, our answer will be 0.6 x 10³ or 6 x 10².
When working with addition and subtraction in scientific notation, the numbers must have the same exponent in order for the operation to be performed.
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Enter the correct unit of measurement to complete the conversion
10,000 grams equals 10 what
1/5000,000 liter eqaul 2 what
1 nanosecond equal one what of a what
1 hectometer equal what meters
1 milliampere equl one waht of an ampere
1 megaton equal 1 what tons
THANK YOU SO MUCH
Answer:
As per list given
Step-by-step explanation:
Given are some measurements and we have to convert them into suitable units.
i) 10,000 grams = 10 kilograms
1/500,000 liters equal = 2 microliters
1 nanosecond = 1 billionth of a second
1 hectometer = 100 meters
1 milliampere = 0.001 ampere
1 megaton = 1,000,000 tons
It is estimated that light takes 110,000 years to travel the full distance across our galaxy
In the picture please read the rest of the question.
Kyra typed 140 words in 5 minuets. Then, she typed 196 words in 7 minutes. Was her rate of words per minute constant? If so, what is the constant of proportionality?