Answer:
$588
Step-by-step explanation:
As each shipment has 98 balls, to determine the total cost of playground balls in three shipments, you have to multiply 98 for 3. Then, after determine the amount of balls in the three shipments, you have to multiply that for the price of each ball:
Total amount= 98*3= 294
Total cost= 294*$2= $588
The total cost of playground balls in three shipments is $588.
Determine which of the expressions could be used to represent the following calculation:
Divide the difference between 96 and 72 by 12.
Select all that apply.
A.
(
96
−
72
)
÷
12
B.
96
−
(
72
÷
12
)
C.
(
96
÷
12
)
−
72
D.
24
÷
12
E.
96
÷
6
Answer:
(96–72)/12
24/12 = 2
D is the answer
Multiplying Polynomials
Find each product.
1) 6v(2v + 3) 2) 7(−5v − 8)
3) 2x(−2x − 3)
A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.
Multiplying Polynomials Find each product. 1) \(6v(2v + 3) 2) 7(-5v - 8)3) 2x(-2x -3)6v(2v + 3)\)
To distribute the 6v over the binomial 2v + 3, we multiply 6v by each term inside the parenthesis:
\(6v(2v) + 6v(3)\)
\(= 12v^2 + 18v7(-5v - 8)\)
To distribute the 7 over the binomial -5v - 8, we multiply 7 by each term inside the parenthesis:
\(7(-5v) + 7(-8)= -35v - 562x(-2x - 3)\)
To distribute the 2x over the binomial -2x - 3, we multiply 2x by each term inside the parenthesis:
\(2x(-2x) + 2x(-3)= -4x^2 - 6x\)
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Please help I don’t understand math
Answer:
x = 12
Step-by-step explanation:
The sum of the two smaller angles is 140
80+5x = 140
Subtract 80 from each side
80+5x-80 =140-80
5x = 60
Divide each side by 5
5x/5 = 60/5
x = 12
I need help pwease? Btw, I’m in 6th grade
Answer:
12inches
Step-by-step explanation:
HELP ME I WILL HIVE U 5 stars ON IF ITS RIGHT PLZZZ !!!!!!!
Answer:
40
Step-by-step explanation:
The two angles form a right angle
A right angle has a measure of 90 degrees meaning that the sum of the two angles is 90
a + 50 = 90
90 - 50 = 40
Thus, a = 40
missing angle is (40⁰) :)
ill mark brainlist plss help
Answer:
18%
Step-by-step explanation:
It is 18% because when you divide 9 by 50 you get 0.18 and when you multiply 0.18 by 100 you get 18 then just add the percentage sign
hope this helped :)
In the newest animated movie,for every 9 kids,there are 4 adults.there are a total of 39 kids + adults.How many kids are there?
plz answer
use the information to find the value cot 0 =
The tangent function is given by:
\(\tan (\theta)=\frac{opposite}{_{\text{ }}adjacent}=\frac{5}{12}\)Since the angle is in the 3rd quadrant the opposite side and the adjacent side are negative. So, the cotangent function is given by:
\(\cot (\theta)=\frac{1}{\tan (\theta)}=\frac{adjacent}{_{\text{ }}opposite}=\frac{-12}{-5}=\frac{12}{5}\)Answer:
12/5
Write the ratios for sin A and cos A. Not drawn to scale sinA= 24/10, cosA = 10/26 sinA= 24/26, cosA = 10/24
To find the values of trigonometric functions, we can use the acronym SOHCAHTOA, which stands for:
\(\begin{gathered} \sin\theta=\frac{opposite}{hypotenue} \\ \\ \cos\theta=\frac{adjacent}{hypotenuse} \\ \\ \tan\theta=\frac{opposite}{adjacent} \end{gathered}\)Because we are only looking for sin A and cos A, we'll use SOH and CAH. Remember that the positions are relative to angle A. So side BC would be the opposite and side AC would be the adjacent sides.
\(\begin{gathered} \sin A=\frac{24}{26}\text{ }or\text{ }\frac{12}{13} \\ \\ cosA=\frac{10}{26}\text{ }or\text{ }\frac{5}{13} \end{gathered}\)The answer is the third option, sin A = 24/26, cos A = 10/26.
Shakespeare wrote 7 plays in 4 days. At this rate, how many plays will he be able to write in 10 days?
I NEED HELP PLEASE ASAP - will give brainliest!!!!!!!
28.) A number cannot have a value equal to its square.
Is this true or false? If false, give a counterexample.
Answer:
false 1 is equal to its own square
Please help me!!!!!!!!
We can see here that the solutions to the triangles are:
1. 62.2°.
2. 35.9°
3. 61.9°
4. 53.1°
How we arrived at the solutions?We can see here that using trigonometric ratio formula, we find the values of x.
We see the following:
1. Cos x = 7/15 = 0.4666
x = \(cos^{-1}\) 0.4666 = 62.2°.
2. Sin x = 27/46 = 0.5869
x° = \(sin^{-1}\) 0.5869 = 35.9°
3. Sin x = 30/34 = 0.8823
x° = \(sin^{-1}\) 0.8823 = 61.9°
4. Tan x = 8/6 = 1.3333
x° = 1.3333 = 53.1°
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Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
x = √47
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We have a right triangle. We can use PT to solve for the missing side length.
Step 2: Identify Variables
Leg a = 5
Leg b = x
Hypotenuse c = √72
Step 3: Solve for x
Substitute [PT]: 5² + x² = (√72)²Exponents: 25 + x² = 72Isolate x term: x² = 47Isolate x: x = √47B. compare his z-score in each event. c. compare his speed in each event. d. compare his pace in each event. questions 9-10 refer to the following situation: during a model railroad operating session, a model railroader must use the engine she is operating to move a pair of model cars through a series of track switches. her pair of cars consists of a boxcar and a flatcar. she knows that as the cars pass through the switches the boxcar has a 90% chance of getting through without derailing and the flatcar has an 80% chance of getting through without derailing. she also knows that whether either car derails or not is independent of the other car. 9. what is the probability that the flatcar derails? a. 10% b. 20% c. 28% d. 72% 10. what is the probability that both the boxcar and the flatcar get through without derailing? d. 72% c. 28% a. 10% b. 20%
To find the probability that the flatcar derails, we need to subtract the probability of it not derailing from 1. Since the flatcar has an 80% chance of getting through without derailing.
Therefore, the answer is b. 20%.
What is the probability that both the boxcar and the flatcar get through without derailing
Since the events of the boxcar and the flatcar derailing are independent, we can multiply their probabilities together.
The boxcar has a 90% chance of getting through without derailing (0.9) and the flatcar has an 80% chance (0.8), so the probability that both get through without derailing is
0.9 * 0.8 = 0.72 or 72%.
Therefore, the answer is d. 72%.
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For each of the following situations, decide what sampling method you would use. Provide an explanation of why you selected a particular method of sampling.
a. The major state university in the state is attempting to lobby the state legislature for a bill that would allow the university to charge a higher tuition rate than the other universities in the state. To provide a justification, the university plans to conduct a mail survey of its alumni to collect information concerning their current employment status. The university grants a wide variety of different degrees and wants to make sure that information is obtained about graduates from each of the degree types. A 5% sample of alumni is considered sufficient.
b. The Environmental Protection Agency (EPA) is required to inspect landfills in the United States for the presence of certain types of toxic material. The materials were sealed in containers and placed in the landfills. The exact location of the containers is no longer known. The EPA wants to inspect a sample of 1000 containers from the 40,000 containers know to be in the landfills to determine if leakage from the containers has occurred.
a. The sampling method that I would use for the given scenario is stratified random sampling.
b. The sampling method that I would use for the given scenario is systematic sampling.
Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.
In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.
Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.
EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.
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A rabbit population triples every year. If the rabbit population starts with 4 rabbits, then how many will there be in 6 years?
Answer:
there would probably be around 60 rabbits
write 81 as a repeated multiplication of (-3)s. Then write it as a power
Answer:
(-3) x (-3) x (-3) x (-3)
(-3)²
Consider the inequality −6z<24.
Solve the inequality. Explain and determine if the inequality symbol is reversed.
Reason: Divide both sides by -6 to isolate z. The inequality symbol does reverse or flip. This happens any time you multiply or divide both sides by a negative number.
Here's another approach that takes a slightly longer route:
-6z < 24
-6z+6z < 24+6z
0 < 24+6z
0-24 < 24+6z-24
-24 < 6z
6z > -24
6z/6 > -24/6
z > -4
The sign flip does not happen if you divide both sides by a positive number.
But notice the sign flip happened when going from -24 < 6z to 6z > -24
mayonaise on a escatlater going so fast so i will see you later
a tar heel basketball player makes 80% of his free throw attempts. among 3 attempts he has, the probability that he at least misses one is equal to
The probability that he at least misses one is equal to 61/125.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given in the question
basketball player makes 80% of his free throw attempts i.e.
P(Success) = 4/5 or 0.8
P(Miss the attempt) = 1 - 0.8 = 0.2 or 1/5
Number of sample (n) = 3
We need to calculate probability that he at least misses one i.e.
P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0)
Here we will use binomial probability distribution which can be calculated as
P(X = n |N, p)= NCn x (p^n) x (1-p)^(N-n)
P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0) = 1 - 3C0 x (1/5)^0 x (1 - 1/5)^(3-0)
= 1 - (1 x 1 x 64/125) = 1 - 64/125 = 61/125
Hence, the probability that he at least misses one is equal to 61/125.
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Find the surface area of a cylinder with a base radius of 4 cm and a height of 7 cm.
Use the value 3.14 for a, and do not do any rounding.
Be sure to include the correct unit.
Answer: 276.32cm³
Step-by-step explanation:
Surface area, A, of a cylinder is given by the formula:
A = 2*pi*r*h + 2*pi*r²
r = radius
h = height
Substituting pi for 3.14 gives:
A = (2 * 3.14 * 4 * 7) + (2 * 3.14 * 4²)
A = 276.32cm³
I've put them in brackets, but this is not necessary.
the sum of two numbers is 45. the greater number is 9 more than the other number. Find each number. use a system of linear equations to justify your answer
Answer:
18 and 27
Step-by-step explanation:
Let x = first (smaller) number
Let y = second (larger) number
Sum of two numbers is 45:
⇒ x + y = 45
The greater number is 9 more than the other number:
⇒ y = x + 9
Substitute y = x + 9 into x + y = 45 and solve for x:
⇒ x + (x + 9) = 45
⇒ 2x + 9 = 45
⇒ 2x = 36
⇒ x = 18
Substitute found value for x into y = x + 9 and solve for y:
⇒ y = 18 + 9
⇒ y = 27
Therefore, the two numbers are 18 and 27
Solution:
Let x and y be the numbers that sum up to 45.
Note that:
x + y = 45y + 9 = xSimplify the second equation such that the constant is the subject.
y + 9 = x=> -x + y = -9Use system of equations to solve for both variables.
x + y = 45-x + y = -9
=> 2y = 36=> y = 18Substitute the value of y into the second equation to find x.
y + 9 = x=> 18 + 9 = x=> 27 = xThe value of x and y is 27 and 18 respectively.
PLEASE HELP
A shipping container is in the shape of a right rectangular prism with a length of 8. 5
feet, a width of 4 feet, and a height of 7 feet. The container is completely filled with
contents that weigh, on average, 0. 85 pound per cubic foot. What is the weight of the
contents in the container, to the nearest pound?
Answer:
14.875
Step-by-step explanation:
hope it helped
Qwq I’m starting to regret getting math class-
Answer:
B the number that is 6 to the right of 1 on the number line
Step-by-step explanation:
you only have a few months left, keep fighting~
a normalized binary number consists of three parts. these are:
Main Answer: A normalized binary number typically consists of three parts:
Sign bitExponentMantissaSupporting Question and Answer:
What is a sign bit in a normalized binary number?
The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.
Body of the Solution: A normalized binary number typically consists of the following three parts:
Sign bit: This is the leftmost bit of the number and indicates whether the number is positive or negative. A value of 0 indicates a positive number, while a value of 1 indicates a negative number.Exponent: This is the next set of bits that represent the exponent of the number in binary form. The exponent represents the power to which the base (2) is raised to obatain the actual value of the number. Mantissa: This is the remaining bits that represent the fractional part of the number in binary form. The mantissa contains the significant digits of the number, which are multiplied by the base raised to the exponent power to obtain the actual value of the number.Final Answer: A normalized binary number typically consists of three parts:
Sign bitExponentMantissaTo learn more about the sign bit in a normalized binary number from the given link
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Write an equation for the line that passes through the given points (2,3), (3,7)
Answer:
y = 4x - 5
Step-by-step explanation:
first use the slope equation (y2-y1/x2-x1)
so 7 - 3 = 4 and 3 - 2 = 1 so the slope is 4
so we know the m is 4 so we can just plug one of the points into the slope intercept form (y = mx+b) so let's use the point (2,3). just plug in the values
3 = 4(2)+ b. 4 * 2 = 8 subtract 8 to the other side b = -5
so the answer is y = 4x - 5
hope this helps!
Paige has a cell phone plan that charges $0.06 per minute plus a monthly fee of $15.00. She budgets $25.50 per month for her total cell phone expenses without taxes. What is the maximum number of minutes Paige could use her phone each month and still stay within her budget? O 675 O 425 O 250 0 175
Answer:
Step-by-step explanation:
175 because i did the math 15+0.06x <=25.5
The double number lines show the ratio of yards to miles.
Yards
Miles
0
0
||
yards
How many yards are in 4 miles?
3
8,800
++
|▬▬▬▬▬▬▬▬▬▬
5
There are 7040 yards in 4 miles.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given, 5 miles = 8800 yards.
5 miles = 8800 yards
1 miles = 8800/5 yards
4 miles = (8800/5) × 4 yards
4 miles = 7040 yards.
Hence, there are 7040 yards in 4 miles.
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#45 Math 8 #1 Semester Study Guide!
The ratio of juniors to seniors in the Lakewood High School Honor Society is 2:9. If there are 108 seniors, how many juniors are there in the Honor Society?
Answer:
24 juniors
Step-by-step explanation:
juniors:seniors
2:9
2x:9x
9x=108
x=12
2x=24
Jerry, Skyler and Kyle were measuring the tank (cylinder) for storing water tower on the hill. Working together Jerry and Skyler determine the circumference was approximately 295.3 feet. Kyle measured the height to be about 40 feet. What is the potential volume of the tank? (Round to the nearest tenth)
PLEASE THE ANSWER IS NOT 277591.1 OR 277450.4
The rounded potential volume of the tank is approximately 348,700.9 cubic feet, making the approximate volume of the tank 348,700.9 cubic feet.
To calculate the potential volume of the tank (cylinder), we need to know the radius of the base. However, the given information only provides the circumference of the tank and the height. We can use the circumference to find the radius, and then use the radius and height to calculate the volume of the cylinder.
Let's proceed with the calculations step by step:
Step 1: Find the radius of the tank's base
The formula for the circumference of a cylinder is given by:
C = 2πr, where C is the circumference and r is the radius.
Given that the circumference is approximately 295.3 feet, we can solve for the radius:
295.3 = 2πr
Divide both sides by 2π:
r = 295.3 / (2π)
Calculate the value of r using a calculator:
r ≈ 46.9 feet
Step 2: Calculate the volume of the cylinder
The formula for the volume of a cylinder is given by:
V = π\(r^2h\), where V is the volume, r is the radius, and h is the height.
Substitute the values we have:
V = π(\(46.9^2)(40)\)
V = π(2202.61)(40)
Calculate the value using a calculator:
V ≈ 348,700.96 cubic feet
Step 3: Round the volume to the nearest tenth
The potential volume of the tank, rounded to the nearest tenth, is approximately 348,700.9 cubic feet.
Therefore, the potential volume of the tank is approximately 348,700.9 cubic feet.
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