Answer:
all angles are congruent, the smaller is just a dilation, but the angles are all congruent
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
Yes.
all the internal angles on both similar triangle are congruent.
compose a function distance which accepts as parameters an array called data containing a row of time values and a row of measurements (just like seis). the function should return the calculated distance in miles.
The function "distance" should take in an array "data" containing a row of time values and a row of measurements, and return the calculated distance in miles.
To calculate the distance, we can use the formula: distance = (measurement / 5280) * time, where measurement is in feet, time is in seconds, and the factor 5280 is the number of feet in a mile.
So, in the function, we can loop through the two rows of data, calculate the distance for each pair of values using the above formula, and sum up the distances to get the total distance covered. Finally, we can return the total distance in miles.
With this function, we can pass in an array of time and measurement values, and get back the total distance covered in miles.
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Problem Solving in Santa's Workshop
Clifford works in the gift-wrapping department of Santa's
workshop. His job is to finish all the packages with a bow.
He is running low on bows and only has 100 bows left. He
begins working at 5:00 a.m. During the first half-hour, he
uses 12 bows. In the second half-hour, he uses 9 bows.
During the third half-hour, he uses 14 bows and in the
fourth half-hour, he uses 11 bows. Clifford uses 16 bows
during the fifth half-hour. If the pattern continues, during
which half-hour will Clifford run out of bows?
Answer:
Eighth half-hour
Step-by-step explanation:
Given pattern:
1st half hour = 12 bows used2nd half hour = 9 bows used3rd half hour = 14 bows used4th half hour = 11 bows used5th half hour = 16 bows usedCalculate the differences between the number of bows used:
\(12\underbrace{}_{-3}9\underbrace{}_{+5}14\underbrace{}_{-3}11\underbrace{}_{+5}16\)
Therefore, the pattern for the bows used is:
-3, +5, -3, +5, etc...If the pattern continues:
\(12\underbrace{}_{-3}9\underbrace{}_{+5}14\underbrace{}_{-3}11\underbrace{}_{+5}16\underbrace{}_{-3}13\underbrace{}_{+5}18\underbrace{}_{-3}15\underbrace{}_{+5}20\)
6th half hour = 16 - 3 = 13 bows used7th half hour = 13 + 5 = 18 bows used8th half hour = 18 - 3 = 15 bows used9th half hour = 15 + 5 = 20 bows usedCreate a table with the given and found data, and add a cumulative total column:
\(\begin{array}{c|c|c}\vphantom{\dfrac12} \textsf{Half Hour} & \textsf{Bows used per half hour} & \sf Cumulative\; total\\\cline{1-3} \vphantom{\dfrac12} \sf 1st & 12 & 12\\\vphantom{\dfrac12} \sf 2nd &9 &21 \\\vphantom{\dfrac12} \sf 3rd & 14&35 \\\vphantom{\dfrac12} \sf 4th & 11& 46\\\vphantom{\dfrac12} \sf 5th & 16& 62\\\vphantom{\dfrac12} \sf 6th & 13& 75\\\vphantom{\dfrac12} \sf 7th &18 & 93\\\vphantom{\dfrac12} \sf 8th & 15& 108\\\vphantom{\dfrac12} \sf 9th & 20& 128\\\end{array}\)
If Clifford has a total of 100 bows, he will run out of bows during the eighth half-hour.
5. Solve each equation.
a.
6(3x - 5) - 7x = 25
Answer:
Step 1: Simplify both sides of the equation.
6(3x−5)−7x=25
(6)(3x)+(6)(−5)+−7x=25(Distribute)
18x+−30+−7x=25
(18x+−7x)+(−30)=25(Combine Like Terms)
11x+−30=25
11x−30=25
Step 2: Add 30 to both sides.
11x−30+30=25+30
11x=55
Step 3: Divide both sides by 11.
x=5
Step-by-step explanation:
The solution to the equation is x = 5.
To solve the equation 6(3x - 5) - 7x = 25, we need to simplify and isolate the variable x. Let's break it down step by step:
Distribute the 6 to the terms inside the parentheses:
18x - 30 - 7x = 25
Combine like terms on the left side of the equation:
(18x - 7x) - 30 = 25
11x - 30 = 25
Move the constant term to the right side by adding 30 to both sides:
11x = 25 + 30
11x = 55
Finally, isolate x by dividing both sides of the equation by 11:
x = 55 / 11
x = 5
Hence, the solution to the equation is x = 5. By simplifying and applying algebraic operations, we find that when x is equal to 5, the equation 6(3x - 5) - 7x = 25 holds true.
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ASAP!!! WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Apply the rules of exponents and solve leaving your answer in base-exponent form: 4^3 x 4^5 =
5^8 ÷ 5^-2 =
(6^3 ) ^ 4 =
Answer:
1. 262,144
the rest is on you
Step-by-step explanation:
calculator
Nitrogen gas (N₂) has a solubility in water of approximately 0.0173 g/L at 25.0°C and 1.01 atm. What is the solubility (g/L) of N₂ in water in Denver, where the atmospheric pressure is approximately 0.899 atm?
the solubility of nitrogen gas (N₂) in water in Denver, where the atmospheric pressure is approximately 0.899 atm, is approximately 0.0154 g/L.
To determine the solubility of nitrogen gas (N₂) in water in Denver, we can use Henry's law, which states that the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas above the liquid.
According to Henry's law, we can set up the following relationship:
(Solubility in Denver) / (Solubility at 1.01 atm) = (Partial Pressure in Denver) / (Partial Pressure at 1.01 atm)
Let's solve for the solubility in Denver:
Solubility in Denver = (Solubility at 1.01 atm) * (Partial Pressure in Denver) / (Partial Pressure at 1.01 atm)
Given:
Solubility at 25.0°C and 1.01 atm = 0.0173 g/L
Partial Pressure at 1.01 atm (standard atmospheric pressure) = 1.01 atm
Partial Pressure in Denver = 0.899 atm
Plugging these values into the equation:
Solubility in Denver = (0.0173 g/L) * (0.899 atm) / (1.01 atm)
Calculating this, we find:
Solubility in Denver ≈ 0.0154 g/L
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helllllppppppp help help
Answer:
1. 2
2. 8
3. 1.5
4. 62.83185
5. 18.85
6. 87.96
7. 12.57
8. 1256.64
9. 63.62
10. Half
11. perimeter
12. not sure
Step-by-step explanation:
(2x³y + 5)(2x³y - 5)
Answer: 4x^6-25
Step-by-step explanation:
1. Distribute
(2x^3+5)(2x^3−5)
2(2^3+5)x^3+5(2x^3-5)
2. Distribute
2(2x^3-5)x^3+5(2x^3-5)
4x^6-10x^3+5(2x^3-5)
3. Distribute
4x^6-10x^3+5(2x^3-5)
4x^6-10x^3+10x^3-25
4. Combine like terms
4x^6-10x^3+10x^3-25
4x^6-25
NEED ASAP!!
Describe what probability is and how it is used in the real world. Explain how to calculate probability of an event. Explain the difference in something being unlikely, likely, certain, and equally likely to happen. Write 3-5 Sentences
Answer:
Probability is the mathematical term for the likelihood that something will occur, such as drawing an ace from a deck of cards or picking a green piece of candy from a bag of assorted colors. You use probability in daily life to make decisions when you don't know for sure what the outcome will be.
Step-by-step explanation:
Solve x + 2∕5 = 1∕3 for x. Question 10 options: A) x = –1∕15 B) x = –11∕15 C) x = 1∕15 D) x = 11∕15
Step-by-Step Explanation:
\(x + \frac{2}{5} = \frac{1}{3} \\ = > x = \frac{1}{3} - \frac{2}{5} \\ = > x = \frac{5 - 6}{15} \\ = > x = \frac{ - 1}{15} \)
Answer:
A) x = -1/15
Hello, I need help with sample dpace
Answer:1/2 problability for both odd and same for evens.1/8 chance of spinning a 3 .25% chance of a 4 or 6.one eight of a chance of spinning a 7 or 1.part 2. a is false because the chance of spinning and odd is 50% and their is 3 numbers less than 4 .4 numbers would be a 50% chance to buts its not.b is true because he has a chance of spinning any number i think.c is true because there are 4 odd numers and 2 and 4 is half of 4
Step-by-step explanation:
choose the best definition of hypothesis in the context of statistical analysis.
In statistical analysis, a hypothesis refers to a tentative explanation or prediction that is based on limited evidence and is subject to further investigation and testing. It is a statement that can be either true or false, and is typically formulated in such a way that it can be tested using statistical methods.
The hypothesis is often used to guide the research process, to help identify potential patterns or relationships in the data, and to evaluate the significance of the results.
Overall, the hypothesis plays a critical role in statistical analysis, as it provides a framework for understanding and interpreting data, and helps to ensure that research findings are reliable and valid.
A hypothesis in the context of statistical analysis is a tentative explanation or prediction about the relationship between two or more variables, which is subject to testing and empirical evaluation using statistical methods.
It is a statement that can be either true or false, and it is usually formulated in terms of the expected direction and strength of the relationship between the variables of interest.
The hypothesis is typically derived from existing theory, prior research, or common sense, and it serves as a guide for the collection, analysis, and interpretation of data in a scientific study.
The process of testing a hypothesis involves setting up null and alternative hypotheses, selecting an appropriate statistical test, collecting and analyzing data, and drawing conclusions based on the results of the analysis.
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Consider a stochastic game where the players roll dice to determine which moves are possible. If there are O(k) possible outcomes of the dice and O(b) moves possible after any dice roll, how many nodes will be explored in an EXPECTI-MINIMAX search to depth d ?
O(k
d
b
d
)
O(k
d
b)
O(kb
d
)
O(kb)
In an EXPECTI-MINIMAX search to depth d in a stochastic game with O(k) possible outcomes of the dice and O(b) moves possible after any dice roll, the number of nodes explored is O(k^d * b^d).
In an EXPECTI-MINIMAX search, at each depth of the search, the algorithm considers all possible outcomes of the dice and the possible moves after each dice roll.
For a depth of d, at each level of the search, there are O(k) possible outcomes of the dice. Therefore, at depth d, the number of nodes explored due to the dice outcomes alone is O(k^d).
After each dice roll, there are O(b) possible moves. Since the number of dice rolls is equivalent to the depth d, the number of nodes explored due to the possible moves after each dice roll is O(b^d).
Considering both factors, the total number of nodes explored in an EXPECTI-MINIMAX search to depth d in this stochastic game is the product of the number of nodes explored due to dice outcomes (O(k^d)) and the number of nodes explored due to possible moves (O(b^d)), resulting in O(k^d * b^d).
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Rewrite in simplest terms: 4 (d+9) -8 (-3d-3)
Answer:
28d + 60
Step-by-step explanation:
4d + 36 + 24d + 24
28d + 60
First I used distributive property to expand. Then I rewrote my answer into simplest form possible. As we know that two negatives equal postive which is what I did to get the correct answer.
What is the value of the expression below?
(16^2)^1/4
A. 4
B. 8
C. 16
D. 2.
4444444444444444444 4444444
Answer:
4
Step-by-step explanation:
A P E X:L E A R N I N G
3.5c – 1.5d > 50
Esa's Pastries sells cupcakes for $3.50 each and donuts for $1.50 each. The inequality above
represents the difference, in dollars, between cupcake sales and donut sales on a typical day
based on C, the number of cupcakes sold and d, the number of donuts sold. If Esa sold 200
donuts on a typical day, what is the minimum number of cupcakes she sold on that day?
Answers:
A) 25
B) 50
C) 100
D) 350
Answer:
C) 100
Step-by-step explanation:
\(3.5c - 1.5d > 50\)
\(3.5c - 1.5(200) > 50\)
\(3.5c - 300 > 50\)
\(3.5c > 350\)
\(c > 100\)
3. In the equation y=bx+a, which variable is the slope and which is the intercept? 4. Given speed and stopping distance, which is the dependent variable, which is the independent variable? other, and the alternate hypothesis is that there will be an influence of one variable on another.
3. In the equation y = bx + a, the variable "b" represents the slope, and "a" represents the intercept.
4. The speed is considered the independent variable .
3. In a linear equation of the form y = mx + c (where m is the slope and c is the y-intercept), the equation y = bx + a is written in a slightly different format. The variable "b" is equivalent to the slope "m" in the traditional equation, and "a" represents the intercept. The slope (b) determines the rate at which the dependent variable (y) changes with respect to the independent variable (x), while the intercept (a) represents the value of y when x is zero.
4. Given speed and stopping distance, which is the dependent variable, which is the independent variable?
In the context of speed and stopping distance, the dependent variable would typically be the stopping distance, and the independent variable would be the speed.
The dependent variable is the one that is expected to change or be influenced by the independent variable. In this case, we assume that speed affects stopping distance. As the speed of a vehicle increases, it generally takes longer to bring the vehicle to a stop, resulting in a greater stopping distance. Therefore, stopping distance depends on the speed at which the vehicle is traveling.
Consequently, the speed is considered the independent variable since it can be controlled or varied, and we expect it to have an influence on the dependent variable, which is the stopping distance.
Alternate hypothesis:
The alternate hypothesis is formulated to suggest that there is an influence of one variable on another. In this scenario, the alternate hypothesis could be: "There will be a significant influence of speed on stopping distance."
By conducting an experiment or collecting data, one could test this hypothesis statistically to determine whether speed has a significant impact on stopping distance.
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What is the surface area of the cube shown below
Answer:
90
Step-by-step explanation:
.help me additional solve 2 step word problems. All operations
Answer:
1x + 2y = z
Step-by-step explanation:
Here x is the price of jeans and y is the price of T-shirts
z is total money spend
*Y. Write exponential functions: word problems LZW
One year ago, Grace put $200 she earned from tutoring into an investment account. Today,
the account's value has increased to $212, and it is expected to continue growing each year.
Write an exponential equation in the form y = a(b)* that can model the value of the
investment account, y, x years after Grace started the account.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
DO
To the nearest dollar, what can Grace expect the value of the account to be 6 years after
starting the account if she makes no other deposits or withdrawals?
Using Algebraic expressiοn, Grace can expect the value οf her investment accοunt tο be apprοximately $283 after 6 years if she makes nο οther depοsits οr withdrawals.
What is Algebraic expressiοn?Algebraic expressiοn can be defined as cοmbinatiοn οf variables and cοnstants.
Tο mοdel the value οf Grace's investment accοunt as it grοws οver time, we can use the expοnential functiοn:
\(y = a(b)^x\)
where:
y is the value οf the investment accοunt x years after Grace started the accοunt.
a is the initial value οf the accοunt, which is $200 in this case.
b is the grοwth factοr οr rate, which represents hοw much the accοunt increases each year.
x is the number οf years since Grace started the accοunt.
We knοw that after οne year, the accοunt's value increased tο $212. We can use this infοrmatiοn tο find the grοwth factοr b:
\(212 = 200(b)^1\\b = (212/200)^{(1/1)}\\b = 1.06\)
Now we can write the exponential equation for the value οf the account y after x years:
\(y = 200(1.06)^x\)
To find the value of the accοunt after 6 years, we can substitute x = 6 into the equation and simplify:
\(y = 200(1.06)^6\)
y ≈ $283.88
Therefore, Grace can expect the value οf her investment account to be approximately $283 after 6 years if she makes no other deposits or withdrawals.
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a body of mass 10kg acted upon by a force of 40N for 0.5secs. Find the:(i)impulse on the body. (ii)final speed of the body. (iii)distance covered within the time interval.
Step-by-step explanation:
20n 20394848484848575
The impulse on the body is 20 kg-m/s, the final speed of the body is 2m/s, and the distance covered within the time interval is 0.5m.
What is Force?Force is the strength applied on an object with mass to change its state of motion.
The mass of the body is 10kg.
The force applied on the object is 40N.
The time for which the force is applied is 0.5 sec.
The impulse on the body is calculated by,
Impulse = Force * Time
Impulse = 40 * 0.5
Impulse = 20 kg-m/s
The final speed of the body is given by
v = u + at
Assuming the initial speed = 0
v = at
Acceleration = Force / mass
Acceleration = 40/10
a = 4 m/s²
v = 4 * 0.5
v = 2 m/s
The distance covered within the time interval is given by,
s = ut + (1/2) at²
s = (1/2) at²
s = (1/2) 4 * 0.5 *0.5
s = 0.5 m
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which expression is equivalent to -2.1 + (-5.9) + (-3.7) ? help quick!!
Answer:
-2.1 - (5.9 + 3.7)
Step-by-step explanation:
At town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole number?
Answer:
the answer will be 14708
Answer:
14708
Step-by-step explanation:
Apply the formula:
Amount at time t in years =
(Starting amount)(1 + yearly per cent increase)^(Number of years) =
(13,000)(1 + 2.5%)^5 =
13000(1.025)^5 =
14708.3067676 =
14708, to the nearest whole number.
what is the times interest earned ratio for 2012? 9.63 10.12 12.59 14.97 16.05
To determine the times interest earned ratio for 2012, we need to have information about the company's earnings before interest and taxes (EBIT) and interest expense for that year. Unfortunately, the provided numbers don't include the necessary data for this calculation.
What is times interest earned ratio: The times interest earned (TIE) ratio is a measure of a company's ability to meet its debt obligations based on its current income. The formula for a company's TIE number is earnings before interest and taxes (EBIT) divided by the total interest payable on bonds and other debt.The result is a number that shows how many times a company could cover its interest charges with its pretax earnings.Obviously, no company needs to cover its debts several times over in order to survive. However, the TIE ratio is an indication of a company's relative freedom from the constraints of debt. Generating enough cash flow to continue to invest in the business is better than merely having enough money to stave off bankruptcy.Once you have the EBIT and interest expense for 2012, you can calculate the times interest earned ratio using the following formula:
Times Interest Earned Ratio = EBIT / Interest Expense.
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Sarah purchased 8kg of sugar, 10kg of
flour, 500g of cocoa, 225g of pecans,
and 275g of coconut. How much do all
her groceries weigh in kilograms?
The total weight is 18.5 kilograms
Find the distance between these two points
2-4i and 6+i
Please help!!!!!!!!
I’ll give brainliest!!!!!!
Answer:
8
Step-by-step explanation:
What is y=-2(x-4)^2+2 in factored form?
The factored form of this quadratic equation is equal to y = -2x² + 16x - 30.
How to determine the factored form of a quadratic equation?In this exercise, you are required to determine the factored form of the given quadratic function that is written in vertex form (standard form).
In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:
y = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided above, we have the following quadratic function:
y = -2(x - 4)² + 2
y = -2(x - 4)(x - 4) + 2
y = -2(x² - 4x - 4x + 16) + 2
y = -2(x² - 8x + 16) + 2
y = -2x² + 16x - 32 + 2
y = -2x² + 16x - 30
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I'll mark brainliest if your right! please help me!!!!
Answer:
its 3 and 5
Step-by-step explanation:
i know this because i took the quiz and its simple
158962.5 rounded to nearest tenth
Answer:
158962.5
Step-by-step explanation:
it is already round to the tenth ,but if you are talking about rounding to the neartest whole number is it 158963
sorry if i am wrong :) have a nice day
Solve this diagram PLEASE!
Answer:
50°---------------------------
The two vertical angles are:
150° and the sum of 50° + 2xVertical angles are congruent, therefore:
50 + 2x = 1502x = 150 - 502x = 100x = 100/2x = 50Answer:
x = 50
Step-by-step explanation:
Vertical Angles Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
From inspection of the given diagram, it appears that angle 150° and angle (50 + 2x)° are opposite vertical angles.
Therefore, applying the Vertical Angle Theorem:
\(\implies (50+2x)^{\circ}=150^{\circ}\)
\(\implies 50+2x=150\)
\(\implies 2x=100\)
\(\implies x=50\)
ANSWER NOW PLEASE AND PLEASE GIVE ME THE RIGHT ANSWER 35 points
Find the difference. Express the answer in scientific notation.
Va
(8.64 x 1020)- (7 83x 1020)
O 8.1x 10
O 0.81 x 1020
O 8.1 x 1021
O 0.81x1040
Both values have the same exponent ( they are both 10^20) so first subtract the numbers:
8.64 - 7.83 = 0.81
You would now have 0.81 x 10 ^20
But to be in scientific notation you need a number to the left of the decimal.
0.81 would become 8.1 and because you move the decimal 1 place to the left, you would subtract 1 from the original exponent so 10 ^20 would become 10 ^19
The answer is 8.1 x 10 ^ 19
Answer:
B = 0.81 x 10^ 20
Step-by-step explanation:
=(8.64 x 10^ 20)- (7 83x 10^20)
=8.1 x 10^19
which is also written as
= 0.81x 10^20