Answer:
5a^2 + 7a
Step-by-step explanation:
Combine like terms
here is the answer the show
Answer:
300 or either 2²×3×5² im not sure
which of the sums below can be expressed as 8(2+7) a 8 + 56 B 10 + 14 C 16 + 7 d 16 + 56
Answer:
d) 16 + 56
Step-by-step explanation:
The simplest way to get the sum is to distribute 8 into 2 and 7 which is the same thing as multiplying to the two numbers in the parentheses. Your sum should be 16 + 56 when multiplied.
c(1)=−20
c(n)=c(n−1)+10
Find the second term in the sequence.
Answer:
c(2) = -10
Step-by-step explanation:
The first equation says that the first term of the sequence is -20.
The second equation is saying that to find any term of the sequence, add 10 to the previous term.
c(2) = c(2-1) + 10
c(2) = c(1) + 10
c(2) = -20 + 10 = -10
a company’s market share went from 50 to 65 percent of the total market. of the following choices, which two statements about the company's market shares are true?
The two statements that are true about the company's Market share going from 50 to 65 percent of the total market . The initial market share and multiply by 100, which gives 30 percent. Option B is correct answer.
The two statements that are true about the company's market share going from 50 to 65 percent of the total market are:
The company's market share increased by 30 percent: The difference between the initial market share of 50 percent and the final market share of 65 percent is 15 percentage points. To calculate the percentage increase, we can divide the difference by the initial market share and multiply by 100, which gives (15/50) x 100 = 30 percent.
The company's relative market position improved: With a market share of 65 percent, the company now holds a greater proportion of the total market than before. This means that its relative market position has improved compared to its competitors, who have a smaller share of the market. This could translate into increased bargaining power, profitability, and other benefits for the company.
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a company’s market share went from 50 to 65 percent of the total market. of the following choices, which two statements about the company's market shares are true?
A) 40
B) 30
C) 35
D) 45
Match each expression to its simplified form
5(2x+6)
12x - 3y = -30 AND x = 2y - 6
Chloe has 4 sundaes for her friends. She has 12 8/9 ounces of sprinkles to put equally on the sundaes. How many ounces of sprinkles will be on each sundae?
Answer:
3(2/9) ounces of sprinkles each sundae (3.222222.....)
Step-by-step explanation:
12 divided into 4 = 3 ounces
(8/9)/4 is the same as (8/9) x(1/4) = 8/36 = 2/9
3 ounces and 2/9 ounces
Each sundae will have 3 2/9 ounces of sprinkles on it.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
Chloe has 12 8/9 ounces of sprinkles and 4 sundaes, so she will put 12 8/9 / 4 = 3 2/9 ounces of sprinkles on each sundae.
To break this down, 12 8/9 can be simplified to 12 + 8/9 = 12 + 8/9 = 12 + 4/9 = 12 4/9.
When we divide 12 4/9 by 4, we get 3 2/9.
So each sundae will have 3 2/9 ounces of sprinkles on it.
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The chess club offered free ice pops to 200 students. Only
170 students accepted the treat. What percentage of students accepted an ice pop?
Answer:
Below
Step-by-step explanation:
100 * 170/200
= 170/2
= 85%.
Starr buys Converse shoes from the
manufacturer for $25.50 a pair, she
sells them for $38.50, what percent is
she marking them up?
PLEASE ANSWER
Answer:
≈ 51%Step-by-step explanation:
Cost = $25.50Selling for = $38.50Profit
$38.50 - $25.50 = $13Profit%:
13/25.50*100% ≈ 51%convert 5670000 in ordinary form from Standard form
Answer:
5.67
Step-by-step explanation:
it has been estimated that about 30% of frozen chicken contain enough salmonella bacteria to cause illness if improperly cooked. a consumer purchases 12 frozen chickens. what is the probability that the consumer will have more than 6 contaminated chickens?
The probability that the consumer will have more than 6 contaminated chickens is 0.039.
The binomial distribution is a frequency distribution that shows how many successful outcomes there could be in a set number of trials with an equal chance of success. Given a success probability of "p" for each experiment trial, it shows the likelihood that an experiment will succeed "x" times out of "n" trials. The formula to calculate this binomial distribution is \(P(X=x)= \;_nC_xp^x(1-p)^{n-x}\)
Given the p=0.30 and n=12. Then, the required probability that the consumer will have more than 6 contaminated chickens is,
\(\begin{aligned}P(X > 6)&= P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\&=12C_7(0.3)^7(0.7)^5\cdots\cdots\cdots12C_{12}(0.3)^{12}(0.7)^{0}\\&=0.0386\\&=0.039\end{aligned}\)
The required answer is 0.039.
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Becca’s dog walking business started with 1 dog. She walks 2 additional dogs each month.
The graph represents the problem. How many dogs does she walk in the third month?
Answer:
7 is the correct answer
2 each month + 1 that she started of with = 7 I hope this helped.
what's the mass of an apple
How much almond milk does James use per teaspoon of cashew butter
A toxicologist wants to determine the lethal dosages for an industrial feedstock chemical, based on exposure data. The most appropriate modeling technique to use is most likely polynomial regression ANOVA linear regression logistic regression scatterplots
A toxicologist aiming to determine the lethal dosages for an industrial feedstock chemical based on exposure data would most likely utilize logistic regression.
So, the correct answer is D.
This modeling technique is appropriate because it helps predict the probability of an event, such as lethality, occurring given a set of independent variables like exposure levels.
Unlike linear regression, which assumes a linear relationship between variables, logistic regression is suitable for binary outcomes.
Polynomial regression and ANOVA may not be ideal in this case, as they focus on modeling different relationships between variables.
Scatterplots, on the other hand, are a graphical tool for data visualization and not a modeling technique.
Hence the answer of the question is D.
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Choose the best answer. Let X represent the outcome when a fair six-sided die is rolled. For this random variable,
μX=3.5 and σX =1.71.
If this die is rolled 100 times, what is the approximate probability that the total score is at least 375? (a) 0.0000 (b) 0.0017 (c) 0.0721 (d) 0.4420 (e) 0.9279
The approximate probability that the total score is at least 375 when a fair six-sided die is rolled 100 times is (d) 0.4420.
When a fair six-sided die is rolled, the random variable X represents the outcome. The mean (μX) of X is 3.5, and the standard deviation (σX) is 1.71.
To find the probability that the total score is at least 375 when the die is rolled 100 times, we can use the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approximates a normal distribution.
In this case, the sum of the outcomes of 100 rolls of the die follows a normal distribution with a mean of μX multiplied by the number of rolls (100) and a standard deviation of σX multiplied by the square root of the number of rolls (10). Therefore, the approximate probability can be calculated by finding the probability that the sum is greater than or equal to 375.
Using a normal distribution table or a calculator, we can find that the approximate probability is 0.4420, which corresponds to answer (d). This means that there is a 44.20% chance that the total score will be at least 375 when the die is rolled 100 times.
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Consider the geometric sequence:
4, 8, 16, 32
If n is an integer, which of these functions generate the sequence?
The function\(f(n) = 4 \times (2^n)\) generates the given sequence 4, 8, 16, 32.
The given sequence, 4, 8, 16, 32, can be generated by the function
\(f(n) = 4 \times (2^n)\), where n is an integer.
Let's substitute the values of n into the function to verify:
For n = 1:
\(f(1) = 4 \times (2^1) = 4 \times 2 = 8\)
For n = 2:
\(f(2) = 4 \times (2^2) = 4 \times 4 = 16\)
For n = 3:
\(f(3) = 4 \times (2^3) = 4 \times 8 = 32\)
The function\(f(n) = 4 \times (2^n)\) generates the given sequence 4, 8, 16, 32.
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Simplify. Show your work.
a. |5 - 7| =2
b. -3|11 - 15|=-12
Answer:
|5 - 7| =2
What you want to do first is to do the equation 5-7 which is -2 but there is an absolute value sign so 2.
-3|11 - 15|=-12
For this one it is a little more difficult but all you have to do is do the equation 11-15 which is -4 but there is an absoulte value sign so 4 you then multiply 4 by -3 which is -12 bam.
The table shows the costs for art show participants, including the $30 registration fee.
Number of Pieces of Art, x
0 2 4 6 8
Cost ($), y
30 90 150 210 270
Write an equation in slope-intercept form that represents the data in the table.
The equation in slope-intercept form that represents the data in the table.
is 90 = 30x + 30.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A table shows the costs for art show participants, including the $30 registration fee.
From the table when x = 0, y = 30, and when x = 2, y = 90.
(0, 30), (2, 90).
We know slope(m) = (y₂ - y₁)/(x₂ - x₁) = (90 - 30)/(2 - 0) = 60/2 = 30.
∴ y = mx + b.
90 = 30x + 30.
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whats the answer for 0.2x-6=11
Answer:
\(\huge\boxed{\sf x = 85}\)
Step-by-step explanation:
Given equation:0.2x - 6 = 11
Add 6 to both sides0.2x = 11 + 6
0.2x = 17
Divide both sides by 0.2x = 17/0.2
x = 85\(\rule[225]{225}{2}\)
Given:-
\( \rm \: 0.2x - 6 = 11\)\( \: \)
Solution:-
\( \rm{0.2x - 6 = 11}\)\( \: \)
\( \rm \: 0.2x = 11 + 6\)\( \: \)
\( \rm \: 0.2x = 17\)\( \: \)
\( \rm \: x = \cancel \frac{17}{0.2} \)\( \: \)
\( \underline { \boxed{ \rm \color{skyblue} \: x = 85 \: }}\)\( \: \)
\( \purple {━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)
hope it helps!
Two bicycle riders start from the same point and ride in opposite directions. One rider is moving twice as fast as the other. In 3 hours, they are 72 miles apart. Find the rate of each rider.
Answer is right here: I figured out the answer is 20km/h and 10km/h
Step-by-step explanation:
Find each quotient 3/2 divided by 2
The quotient of 3/2 divided by 2 is 3/4.
How to find the quotient of 3/2 divided by 2To find the quotient of 3/2 divided by 2, you need to perform the division operation.
3/2 ÷ 2
To divide fractions, you can multiply the numerator of the first fraction by the reciprocal of the second fraction.
3/2 ÷ 2 = (3/2) * (1/2)
Multiply both the numerators (3 * 1) and the denominators (2 * 2) separately, we get the following equation:
= (3 * 1) / (2 * 2)
= 3/4
Therefore, the quotient of 3/2 divided by 2 is 3/4.
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7The alternating harmonic series is sigma^infinity_n = 1 (-1)^n - 1/n = 1 - 1/2 + 1/3 - 1/4 + Show that the alternating harmonic series is convergent by using the Alternating Series Test: For sigma^infinity_n =1 (-1)^n b_n and sigma^infinity_n = 1 (-1)^n - 1 b_n The series converges if all three of the following conditions are met: 1. the terms are positive b_n > 0 2. The sequence is nonincreasing, b_n + 1 lessthanorequalto b_n 3. The sequence of terms converges to zero. b_n rightarrow 0
To show that the alternating harmonic series is convergent using the Alternating Series Test, we need to verify three conditions:
The terms are positive: In the alternating harmonic series, the terms are defined as (-1)^n * 1/n. Although the individual terms alternate in sign, the absolute values of the terms are positive (1/n), satisfying this condition.
The sequence is nonincreasing: We observe that as n increases, the magnitude of each term decreases since 1/n is a decreasing function. Therefore, the sequence of absolute values, |1/n|, is nonincreasing.
The sequence of terms converges to zero: As n approaches infinity, the term 1/n converges to zero. This can be understood by considering the limit lim(n→∞) 1/n = 0. Since the terms approach zero, the sequence of terms satisfies this condition.
Since all three conditions of the Alternating Series Test are met, we can conclude that the alternating harmonic series is convergent.
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log 8Rewrite using properties of logarithms.5OA. logSOB. log 58OC. logOD. log V8Reset Selection
Given:
\(\frac{log8}{5}\)Find: alternate form of the given expression.
Explanation:
\(\begin{gathered} log\sqrt[5]{8} \\ =log(8)^{\frac{1}{5}} \\ =\frac{1}{5}log(8) \\ =\frac{log8}{5} \end{gathered}\)Final answer: the required expression will be
\(log\sqrt[5]{8}\)Suppose a point at (2,3) is translated to (7,−1). What rule describes this translation?
The rule that describes this translation, given the first vertices, would be 5 units to the right and 4 units down.
How to find the translation rule ?To describe the translation from the point (2, 3) to the point (7, -1), we need to determine the rule or transformation that governs the movement of the coordinates.
In general, the rule for translating a point by a specific amount horizontally and vertically is given by:
(x, y) → (x + a, y + b)
Applying this rule to the given translation, we have:
(2, 3) → (2 + 5, 3 - 4)
(2, 3) → (7, -1)
Therefore, the rule that describes this translation is (x, y) → (x + 5, y - 4) or 5 units to the right and 4 units down.
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Can you pls help? This is geometry
The equation of the circle with center (3, -4) and a radius of 6 units is (x - 3)^2 + (y + 4)^2 = 36.
How to explain the equationThe equation of a circle with center (h, k) and radius r is:
(x - h)^2 + (y - k)^2 = r^2
Substituting the values given, we get:
(x - 3)^2 + (y + 4)^2 = 6^2
Expanding and simplifying, we get the final equation of the circle:
(x - 3)^2 + (y + 4)^2 = 36
Therefore, the equation of the circle with center (3, -4) and a radius of 6 units is (x - 3)^2 + (y + 4)^2 = 36.
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In an isosceles triangle, the vertical angle is greater than each of the base angle by 30°. Find all of them..
Answer:
x=50
Step-by-step explanation:
\(x + x + x + 30= 180\)
\(3x + 30 = 180\)
\(3x = 180 - 30\)
\(x = 150 \div 3\)
\(x = 50\)
Cooper is deciding between two truck rental companies. Company A charges an initial fee of $80 for the rental plus $2 per mile driven. Company B charges an initial fee of $45 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Cooper drives xx miles, and let BB represent the amount Company B would charge if Cooper drives xx miles. Write an equation for each situation, in terms of x,x, and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.
The equation which can be used to represent each situation, in terms of x, is;
A = 80 + 2x
B = 45 + 3x
The interval of miles driven, x, for which Company A is cheaper than Company B is when x = 35 miles
How to write and solve equation?Let
The amount Company A would charge if Cooper drives x miles = AThe amount Company B would charge if Cooper drives x miles = BCompany A:
A = 80 + 2x
Company B:
B = 45 + 3x
Company B > Company A:
45 + 3x > 80 + 2x
collect like terms
3x - 2x > 80 - 45
x > 35
In conclusion, the interval of miles driven, x, for which Company A is cheaper than Company B is 35 miles.
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The volleyball team is having a carwash fundraiser. The cost of each car wash is $5. They sold some season ticket packages, which brought in $1640. The goal of the team is to make at least $2000 from the combined totals of the two fund-raisers. How many cars must they wash in order to meet the team goal of $2000?
Answer:
They need to wash 72 cars
Step-by-step explanation:
2000 - 1640 = 360
360/5 = 72
Find the distance between the two points in simplest radical form (1,-3) and (-1,-8)
Answer:
Length = 5.3852
Answer:
√29
Step-by-step explanation:
The change in x from one point to the other is 2; that in y is 5.
Use the Pythagorean Theorem to find the length of the hypotenuse (which is the desired distance):
d = √(2² + 5²) = √29