Answer:23/93.
Step-by-step explanation:
Maddox decided to play a game
during the birthday party. He
buys a pinata and fills it with
candy! Inside the pinata are
1,044 pieces of candy! When
they break it open, Maddox will
divide the candy into goody bags
for his class of 29 students. How
many pieces of candy will go into
each goody bag?
Answer:
Each student would get 36 candies is their goddy bag.
Guided Practice
Write an equation in point-slope form for the line through the given point that has the given slope.
(–2, –7); m = −3/2
A.
y + 7 = −3/2(x + 2)
B.
y – 7 = −3/2(x – 2)
C.
y – 7 = 3/2(x – 2)
Answer:
A
y + 7 = - 3/2 (x + 2)
y = - 3/2x - 10
Step-by-step explanation:
Slope: -3/2
Point: (-2,-7)
y - - 7 = -3/2 (x - - 2)
y + 7 = -3/2 (x + 2)
b = -7 - (-3/2)(-2)
b = -7 - 3 = -10
Simplify.
cot x
CSC X
Use algebra and the fundamental trigonometric identities.
Your answer should be a number or use a single trigonometric
Answer:
Cosx is the answer.
Step-by-step explanation:
We have to simplify the trigonometric fraction given in this question.
\(\frac{\text{Cotx}}{\text{Cscx}}\)
Further we can rewrite this ratio in the simplified form.
Since, Cot x = \(\frac{\text{Cosx}}{\text{Sinx}}\) and Cosec(x) = \(\frac{1}{\text{Sinx}}\)
Now substitute these simplified forms of Cotx and Cscx in the given fraction.
\(\frac{\text{Cotx}}{\text{Cscx}}\) = \(\frac{\frac{\text{Cosx}}{\text{Sinx}}}{\frac{1}{\text{Sinx}}}\)
= \(\frac{\text{Cosx}}{\text{Sinx}}\times \text{Sinx}\)
= Cosx
Therefore, Cosx will be the answer.
find the are of the triangle
Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation:
20 POINTS!!!! Which best describes the relationship between the successive terns in the sequence shown ? The common difference is -10. The common difference is 10. The common ratio is -9. The common ratio is 9.
Answer:
B
Step-by-step explanation:
9-(-1)=10
(-1)-(-11)=10
etc...
The common difference(subtraction) between the numbers is 10.
plz help me with these two questions ( show work plz)
Step-by-step explanation:
3. 7 = -2y + 4
2y = 4 - 7
2y = -3
y = -1.5
5. -3x - 2 = -17
17 - 2 = 3x
15 = 3x
3x = 15
x = 15/3
x = 5
A poster has a thickness of 1.2 x 10-2 inches.
If two posters are glued together, find the
combined thickness of the posters.
Answer:
2.4 × 10^-2
Step-by-step explanation:
You can do a sort of "undistributive" property and factor out the 10^-2 and then add the 1.2+1.2
1.2×10^-2 + 1.2×10^-2
= 10^-2(1.2 + 1.2)
= 10^-2(2.4)
= 2.4 × 10^-2
OR you can change from scientific notation to standard and add them and change back to sci. not. See image.
pls help
20 divided by 2,311
Answer:
20/2311 = 0.00865426222
What is the purpose of data? Answer below.
The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.
Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.
By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.
For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.
Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.
Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.
Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.
Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.
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Find subject and predicate 1. Down went the Cumberland
David is training for a bicycle race. He rode some miles the first
week, 383 miles the second week, and 428 miles the third week. He
has riden 1,150 miles in total. How many miles did he ride the first
week?
Answer:
339
Step-by-step explanation:
You just add 383 plus 428. which gives you 811. then you subtract 811 from 1,150. have a great day!
calculate the price per gram (rounded Off to the nearest cent)if 100g peanut butter costs R10.00(I need unswer with calculation)
Answer:
\(price \: per \: gram = 10 \div 100 = 0.1 \\ 0.1 \times 100 = 10 \: cent\)
Provide reasons for the proof of the triangle proportionality theorem. 25 points
The two column proof is completed below
Statement Reason
1. line KI parallel to line MN Given
2. ∠ JKL ≅ ∠ JMN and ∠ JLK ≅ ∠ JNM Corresponding angles are equal
3. Δ JKL ~ Δ JMN Similar triangles
4. (JM)/(JK) = (JN)/(JL) Ratios of corresponding sides are
equal
5. JM = JK + KM and JN = JL + LN Segment Addition Postulate
6. (JK + KM)/(JK) = (JL + LN)/(JL) Substitution property
7. (JK)/(JK) + (KM)/(JK) = (JL)/(JL) + (LN)/(JL) Addition of fractions
8. 1 + (KM)/(JK) = 1 + (LN)/(JL) Simplify
9. (KM)/(JK) = (LN)/(JL) Simplify (the required proof)
What are similar triangles?Similar triangles are triangles that have the same shape but not necessarily the same size. In other words, their corresponding angles are equal, and their corresponding sides are proportional.
The equality of corresponding sides of similar triangles is used in the proof and it helped to state that: (JM)/(JK) = (JN)/(JL).
Further calculations were substitution and simplifying
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The following shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and area of the shaded part. Give your answer as a completely simplified exact value in terms of pi. (no approximations) FIRST PERSON TO ANSWER GETS 100 POINTS
Answer:
Perimeter = 8π cm
Area = (32π - 64) cm²
Step-by-step explanation:
ABCD is a square.
Therefore:
AB = BC = CD = DA = 8 cmArea = 8 × 8 = 64 cm²PerimeterThe perimeter of the shaded part is the sum of two congruent quarter circles, i.e. half the length of the circumference.
The arcs AC are quarter circles of a circle with radius 8 cm.
Therefore the perimeter of the shaded area is:
\(\implies \sf Perimeter=Half\;circumference=\dfrac{1}{2} \cdot 2\pi r=\pi r=8\pi\;cm\)
AreaTo find the area of the shaded area, subtract the two unshaded areas from the area of the square.
As the two unshaded areas are congruent we only need to find the area of one unshaded area.
The area of one unshaded area is the area of the square minus the area of the sector ADC (which is a quarter of a circle with radius 8 cm).
\(\begin{aligned}\implies \textsf{Area of one unshaded area}&=\textsf{Area of square}-\textsf{Area of $\frac{1}{4}$ circle}\\&=64-\dfrac{1}{4} \pi r^2\\&=64-\dfrac{1}{4} \pi \cdot 8^2\\&=64-\dfrac{1}{4} \pi \cdot 64\\&=(64-16 \pi)\; \sf cm^2\end{aligned}\)
Now we have found the area of one unshaded area, to calculate the area of the shaded area simply subtract two unshaded areas from the area of the square:
\(\begin{aligned}\implies \textsf{Shaded area}&=64-2(64-16\pi)\\&=64-128+32\pi\\&=(32\pi-64)\; \sf cm^2 \end{aligned}\)
What is the place value of 2 in 369.425
Answer:
The two is in the hundredths place
Step-by-step explanation:
369.425
hundreds tens ones. tenths hundredths thousandths
3 6 9 . 4 2 5
The two is in the hundredths place
Answer:
The place value of 2 in 369.425 is hundredths.
The number 369.425 is a decimal number. It has a whole number part (369) and a decimal part (0.425). The decimal part is divided into tenths, hundredths, thousandths, and so on. The 2 is in the hundredths place.
Step-by-step explanation:
Select the expression that represents the following statement: add 24 to the quotient of 16 and 8.
a. 16 x 8 + 24
b. (16 ÷ 8) + 24
c. 24 − 8 + 16
d.(16 − 8) + 24
Answer:
Change the minus sign to a plus. 2. ... 24. = 8. 11. 24. Find each quotient. 1. 1. 3. 1. 6. 2. 5. 8. 1. 16. 2. 1. 3 x. 6. 1 = 6 ... Write a variable expression to represent the word phrase.
The correct expression for the given condition is,
⇒ (16 ÷ 8) + 24
What is an expression?An expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.
We have to given that;
The algebraic expression is,
''add 24 to the quotient of 16 and 8.''
Now, We can write the expression as;
Quotient of 16 and 8 is,
⇒ 16 ÷ 8
And, Add 24 to the quotient of 16 and 8.
⇒ (16 ÷ 8) + 24
Thus, The correct expression for the given condition is,
⇒ (16 ÷ 8) + 24
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If I get paid $28,333 a month and I spend 30% of my $28,333 how much money would I have left?
Answer:
the answer is 19,833.1
Which equation models the proportional relationship shown in the table below?
Answer:
A. y=6x
Step-by-step explanation:
12=6*2
24=6*4
36=6*6
.......
1. Eight people work in an office. They are paid hourly rates of 12£,15£,15£,14£,14£,13£,14£,13£
(a) Find: (i) the mean (ii) the median (iii) the mode.
a 6 kg cat receives fluid intravenously at a rate of 40 mL/kg/day. How much fluid will it receive after 5 hours?
A. 25 mL
B. 50 mL
C. 240 mL
D. 10 mL
The amount of intravenously fluid that the cat will receive after 5 hours is 50 ml
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
6 kg cat receives fluid intravenously at a rate of 40 mL/kg/day, hence:
Amount of fluid in a day = 40 mL/kg/day * 6 kg = 240 mL per day
In 5 hours:
Amount of fluid = 240 mL per day / 24 hours per day) * 5 hours = 50 ml
The amount of intravenously fluid that the cat will receive after 5 hours is 50 ml
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derivate (cos(3x^2). (5x^3 -1)^1/3 +sin 4x^3)^4
\( \: \: \: \: find \: first \: derivative \\ ( cos(3x {}^{2} ) \times ( \sqrt[3]{5x {}^{3} - 1} ) + \sin(4x {}^{3} ) {}^{4} \)
Answer:
Step-by-step explanation:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)
Lets look at the derivative part:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)
\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)
Substituting in eq(1), we have:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)
Find the slope of each line passing through the given points using the slope formula.
(-3, -10) and (-1, -1) URGENT Please answer
Slope (m)= y\x= 9/2 = 4.5
your equation for the line is
y=4.5x+3.5
Suppose that the salaries, in thousands of dollars, of the managers for a industry are normally distributed with an unknown mean and standard deviation. The salaries of 26 randomly sampled managers are used to estimate the mean of the population. What t-score should be used to find the 95% confidence interval for the population mean
Answer: t _(α/2) = 2.060
Step-by-step explanation:
Given that;
sample size n = 26
confidence interval = 95%
level of significance α = ( 1 - 95/100 ) = 0.05
but from the question the salaries (26) are use to estimate the mean of the population so, its a two tail test
therefore our level if significance α will be divided by 2 = 0.05/2 = 0.025
now our degree of freedom df = 26 - 1 = 25
FROM standard t-table value
the critical value of t for the level of significance 0.025
and 25 degree of freedom is 2.060
therefore, t _(α/2) = 2.060
Consider the following advertisement for BrightLending, a short-term personal loan operator.
Loan amount: $800
Deposit date: Tuesday, May 17, 2022
Repayments: 22 payments of $203.40 bi-weekly
1st Payment due: Friday, May 27, 2022
a) If someone took out the $800 loan shown in the ad, how much would they pay in total for the loan?
b) How long is it taking this person to pay off the loan, in years?
Answer:
a) $4,475.20
b) it would take approximately 0.846 years or approximately 10 months to pay off the loan.
Step-by-step explanation:
if we nevermind the deposit and repayment dates, since they are not relevant for this case, so we have only a loan for $800 to be repaid in 22 weeks, at 203.40 every other week, biweekly namely.
Now, we can also nevermind the biweekly part, 22 payments are 22 regardless if it's done daily or yearly or bimonthly or bidecade, 22 is just 22.
a)
22 payments at 203.4 is just (22)(203.4) = 4474.8.
b)
how long does that take?
well, hell the loaner doesn't give much choices, you pay it every other week 22 times, how many weeks is that? 22*2 = 44 weeks.
Since we know a year has 52 weeks, then 44 weeks is just 44/52 of a year, namely
\(\cfrac{44}{52}\implies \cfrac{11}{13} ~~ \approx ~~ \text{\LARGE 0.85}~years\)
Assume that military aircraft use ejection seats designed for men weighing between 132. 4132. 4 lb and 217217 lb. If women's weights are normally distributed with a mean of 168. 7168. 7 lb and a standard deviation of 48. 848. 8 lb, what percentage of women have weights that are within those limits
The percentage of women with weights that are within the limits is:
60.93%
What percentage of women have weights that are within those limits?Can be calculated using the normal distribution formula. First, we need to find the z-scores for both the lower and upper limits:
z-score for lower limit = (132.4 - 168.7) / 48.8 = -0.74
z-score for upper limit = (217 - 168.7) / 48.8 = 0.99
Next, we can use a z-table to find the corresponding probabilities for these z-scores:
Probability for lower limit = 0.2296
Probability for upper limit = 0.8389
Finally, we can subtract the lower probability from the upper probability to find the percentage of women with weights that are within those limits:
Percentage = 0.8389 - 0.2296 = 0.6093
Therefore, approximately 60.93% of women have weights that are within the limits of 132.4 lb and 217 lb.
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A car is 170 inches a tuck is 8% longer how long is the truck
How many two or three-digit numbers can you make using the digits 1, 7, 8, 5, and 2?
Answer:
the are so many numbers but here's one of them
Step-by-step explanation:
Since the number is less than 700, it cannot begin with a 7 or an 8.
So the hundreds digit can only be a 2 or a 5.
Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.
Hence, the number of such numbers is 2x3x2 which is 12.
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.
What is a sample?A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5
⇒ 25
The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5 x 3
⇒ 125
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 125 + 25
⇒ 150
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- \(\frac{6}{35}\) x \(\frac{14}{27}\)
enter the answer as a fraction, in simplified form (thanks to everyone who has been helping <3)
The average age of an 11-man football team is 22 years. During the game one of them got injured and left the field. The average age of the remaining players is 21 years. How old was the injured player?
please help:((
9514 1404 393
Answer:
32
Step-by-step explanation:
The average of a set of numbers is their total, divided by the number of them. That means their total is the product of the average and the number of numbers.
The total of ages for the 11-man squad is 11·22 = 242 years.
The total of ages for the 10 remaining players is 10·21 = 210 years.
The injured player contributed 242 -210 = 32 years to the total for the 11-man team.
The injured player was 32 years old.