Answer:
The numbers in which 7 appears are. 7, 17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97, 107. So, counting all. ∴ Number of times 7 appears = 21
Simone and Harper go canoeing. Simone sees 12 storks. Simone seeks 4 times as many storks as harper. How many storks does Harper see?
Answer:48
Step-by-step explanation:12x4=48
Which shows all the critical points for the inequality 2x+5/x-2 => x-1/x-2
x = 1, and x = 2 x = –6 and x = 2 x = –4 and x = 2 x = 2
The critical points of the given inequality are; x=-6 and x=2
What are the critical points of the Inequality?1) When the denominator is equal to zero, at that point, we will have a critical point.
We are given the inequality;
(2x + 5)/(x - 2) ≥ (x - 1)/(x - 2)
Thus, x - 2 = 0
x = 2.
Thus, x = 2 is a critical point
2) Simplify the numerator to get the expression such that p(x) ≥ 0 or p(x) ≤ 0.
Thus, at p(x) = zero, we have other critical point(s)
Multiply both sides by (x - 2) to get;
2x + 5 = x - 1
2x - x = - 1 - 5
x = - 6
Then, the two critical points are x = 2 and x = - 6.
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litterly help asap
The retail price of a golf club is $342. If the golf store has marked up the price by $42, what is the markup rate?
A golf club costs $342 at retail. The markup rate is 71.4% if the golf store has increased the price by $42.
What is meant by markup rate?The markup percentage is the difference between what an item costs the seller and what the customer pays. The greater the markup, expressed as a percentage of the cost, the greater the profit. While there is no "ideal" markup percentage, most businesses set it at 50%. A 50 percent markup, also known as a "keystone," means you are charging a price that is 50% higher than the cost of the good or service. Both terms are used to help determine profitability, but they are not the same! The markup is the percentage difference between a product's selling price and its cost.Given,
The difference in prices is $342 - $42 = $300
So, we need to find what percentage of 42 is 300
We do this by dividing: 300/42 = 7.14
which is 71.4 %.
So, the markup is 71.4 %.
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Given the polynomial f(x) = 2x3 + 7x2 + x − 10, which of the following is true?
a (x + 2) is a factor since f(2) = 0.
b (x − 2) is a factor since f(2) = 0.
c (x + 2) is a factor since f(−2) = 0.
d (x − 2) is a factor since f(−2) = 0.
Answer:
Step-by-step explanation:
Given:
2[tex]x^{3}[/tex]+7[tex]x^{2}[/tex]+x-10
factor it
I used MatLab roots(x) to find these so I kinda cheated :P
-2.5, -2 , 1
so we know -2 is a factor and, then
x+2=0 is a factor
so the "x+2" answer C)
3. A company’s penetration rate is the percent of the market that uses its product. A market research firm is testing the
penetration rate for ACME widgets. In a random sample of 425 widget consumers, 185 purchased the ACME brand.
(a) Do these data provide good evidence that ACME’s penetration rate for widgets is greater than 40%? Test at the
2.5% level of significance.
(b) Explain the meaning of the P-value in the context of the data.
No, the data provided does not give good evidence that ACME’s penetration rate for widgets is greater than 40%, Test at the
2.5% level of significance
P-value in the data is 40% and this refers to the probability that the assumed penetration rate is greater tan 40 %
How to get the p value penetration rateThe central limit theorem is frequently employed in situations when it is necessary to identify the features of the population but it is challenging to analyze the entire population.
The central limit theorem gives the formula
Z = (X - μ) / σ
Definition of variables
sample mean, X = 185
population mean, μ = ?
standard deviation, σ = ?
sample size, n = 185
significance level = 2.5% = 0.025
confidence level = 1 - significance level = 1 - 0.025 = 0.975 = 97.5%
z score, z
Z score for 97.5% confidence level = 1.96
substituting into the formula
Z = (X - μ) / σ
The given variables are not enough for the calculation
population mean, μ = ?
standard deviation, σ = ?
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Andrew solved the following inequality, and his work is shown below:
−4(x + 8) + 25 ≤ −2 + 1(x − 50)
−4x − 32 + 25 ≤ −2 + 1x − 50
−4x − 7 ≤ 1x − 52
−5x ≤ −45
x ≤ 9
What mistake did Andrew make in solving the inequality?
Answer:
Andrew failed to change the direction of the inequality
Step-by-step explanation:
You want to know the mistake in Anderw's work solving the inequality ...
−4(x + 8) + 25 ≤ −2 + 1(x − 50)
Solution−4(x + 8) + 25 ≤ −2 + 1(x − 50)
−4x − 32 + 25 ≤ −2 + 1x − 50
−4x − 7 ≤ 1x − 52
−5x ≤ −45
x ≥ 9
Andrew's mistake was failing to reverse the inequality symbol when dividing by a negative number (-5) at the last step.
__
Additional comment
The last steps of the solution could be written ...
-5x ≤ -45
45 ≤ 5x . . . . . . . add 5x+45 to both sides
9 ≤ x . . . . . . . . . divide by 5 (no reversal of ≤ is needed)
Question content area top
Part 1
A new bank customer with $ wants to open a money market account. The bank is offering a simple interest rate of %.
a. How much interest will the customer earn in years?
Solve the inequality and enter your solution as an inequality comparing the
variable to the solution.
-18+x< 16
Answer here
Solution of the given inequality -18 + x < 16 is equal to x < 34.
As given in the question,
Given inequality is equal to :
-18 + x < 16
Get the value of the variable x by adding 18 both the side of the inequality we get,
-18 + x + 18 < 16 + 18
Collect all like terms together we get,
⇒ x + (-18 + 18 ) < 34
⇒ x + 0 < 34
Solution of the inequality -18 + x < 16 is given by
⇒ x < 34
For the given inequality -18 + x < 16 the value of variable x is less than 34.
Therefore, solution of the given inequality -18 + x < 16 is x < 34.
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A Not secure admin248 acellus.com/StudentFunctions/interface/acell
Parallel Lines
Inear Functions and Systems
A line is parallel to y = -2x - 3 and
intersects the point (5, 4). What is
the equation of this parallel line?
Start by entering this into point-slope form.
y -4 = -2(x-[?])
X+6=3x we just learned how to do this math today I need help
Answer:
x=3
Step-by-step explanation:
Answer: x=3
Step-by-step explanation:
First, you need to subtract x and x by itself, and do the same with the 3x. Your equation should now look like 6 = 2x. Now, divide each side of the equation with 2, and now your equation should look like 3 = x!
-----------------------
So, to double check, replace the x's with 3. The equation should be 3 + 6 = 3(3). If you do the math, it equals 9 = 9!
Type in only your numerical answer to the given problem if G(x)=x^2-5, then g(3)=?
A road has a speed limit sign at the beginning that is noticed by 84 % of people. 95 % of people who didn't notice the sign speed on the road. Of those who notice the sign, 75 % follow the speed limit.
How many percent of people speeding on this road noticed the sign? In other words, how many people on this road speed on purpose. Give your answer in percentage.
The percentage is the indicating hundredth thus the percentage of people speeding on this road who noticed the sign would be 84% - 75% = 9%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
As per the given,
Percentage of people who notice the speed limit = 84%
The percentage of people who notice the sign and follow the speed limit is 75%.
Therefore, 84% - 75% = 9% are the percentage speeding and noticed.
Hence "The percentage is the indicating hundredth thus the percentage of people speeding on this road who noticed the sign would be 84% - 75% = 9%".
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If the sales tax rate is 5% in Texas, then how much sales tax would you pay in Houston for a $52 bag of dog food?
Please answer quickly!
Thank you ^^
The cost of the sales tax in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The sales tax percentage in Texas = 5 %
= 5 / 100
= 0.05
The cost of 1 bag of dog food in Houston = $ 52
Now ,
The sales tax cost is calculated by the equation ,
The sales tax cost =
Sales tax percentage in Texas x cost of 1 bag of dog food in Houston
The sales tax cost = $ 52 x 0.05
= $ 2.60
And , the total cost of 1 bag of dog food = cost of 1 bag of dog food in Houston + sales tax cost
Total cost of 1 bag of dog food = $ 52 + $ 2.60
= $ 54.60
Therefore , the sales tax cost is $ 2.60
Hence , the sales tax cost to pay in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60
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Pls help me, giving brainliest 50 POINTS!
Pls show your work and not only your answers pls
Determine a so that A(t)=A0at describes the amount of nitrogen-16 left after t seconds, where A0 is the amount at time t=0. Round to six decimal places.
using the power rule of logarithm, the value of a is 1.1021.
In the given question we have to determine a so that [tex]A(t)=A_{0}a^t[/tex] describes the amount of nitrogen-16 left after t seconds, where [tex]A_{0}[/tex] is the amount at time t=0.
The given exponential function is [tex]A(t)=A_{0}a^t[/tex].
The amount of nitrogen-16 is approximately 7.13 seconds.
According to the question, [tex]A(t)=A_{0}/2[/tex] and t = 7.13 seconds.
Putting the value in the given function;
[tex]A_{0}/2=A_{0}a^{7.13}[/tex]
Divide by [tex]A_{0}[/tex] on both side, we get
[tex]1/2=a^{7.13}[/tex]
Taking In on both side
[tex]\text{In}(1/2)=\text{In}(a^{7.13})[/tex]
Using the power rule of logarithm
In(1/2)=7.13In(a)
Divide by 7.13 on both side
In(a)= -0.693/7.13
In(a)= -0.0972
Taking exponential on both side
[tex]e^{\text{In}(a)}= e^{-0.0972}[/tex]
a = 1.1021
Hence, the value of a is 1.1021.
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Please help I'm currently very desperate.
A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC onto ∆A′B′C′ is a reflection across the line x = -3 followed by a reflection across the line y = x.
What is the explanation of the above transformation?Given that both triangles are congruent, we can infer or deduce that there were no dilations or contractions. Hence, since we are moving in a clockwise direction, we can submit that this was not a rotation but a reflection.
Hence the first sequence of reflection was such that:
∆ABC reflects onto ∆A′B′C′ across the line x = -3; followed by
a reflection across the line y = x.
Note that in geometry, reflection refers to the mirror image of an image. The line through which an image reflects is called the line of reflection.
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Estimate 6769 x 925 by first rounding each number so that it has only 1 nonzero digit.
The resulting value of the the expression 6769 x 925 by first rounding each number so that it has only 1 nonzero digit is 63,000
Round off
Round off refers a number is made simpler by keeping its value intact but closer to the next number. And it is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
Given,
Here we need to estimate 6769 x 925 by first rounding each number so that it has only 1 nonzero digit.
Here we have to take individual terms to round off then we get,
By rounding 6799 so that it has only one non-zero digit is rounding it to nearest thousand.
6769 rounds to nearest thousand as 7000 as hundreds digit 7 > 5.
Similarly, by rounding 925 so that it has only one non-zero digit is rounding it to nearest hundred.
925 rounds to nearest hundred as 900 as tens digit 2 < 5.
Now, the estimated value after rounding each number so that it has only one non-zero digit is
=> 7000 x 900
=> 63000.
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Helppp it’s due tomorrow…
Complete the following ratios: Current assets = $13,000 Inventory = $4,400 Current liabilities = $10,000 Net income = $7,700 Net sales = $24,400 A. Profit margin on net sales (round to nearest tenth percent) B. Acid test (round to nearest tenth percent.)
The completion of the following accounting ratios is as follows:
A. Profit margin on net sales is 31.6%.
B. Acid test is 86.0%.
What are accounting ratios?Accounting ratios enable financial analysts to understand the relative magnitude of one financial statement account to another.
By their nature, accounting ratios compare or represent an entity's financial performance or position in relative terms.
Current assets = $13,000
Inventory = $4,400
Current liabilities = $10,000
Net income = $7,700 Net sales = $24,400
The profit margin on net sales = Net Income ÷ Net Sales x 100
= $7,700 ÷ $24,400
= 31.6%
Acid Test Ratio = (Current Assets - Inventory) ÷ Current Liabilities
= ($13,000 - $4,400) ÷ $10,000
= 0.86
= 86%
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The Americans with Disabilities Act (ADA) gives businesses and cities requirements, rules, for making sure that people in wheelchairs and scooters can use slopes. The ADA requires a 1:12 slope for wheelchairs and scooters. (This means that for every one unit of vertical distance, the ramp must have 12 units of horizontal distance.) Mrs. Giles has a small business. She wants to make sure she builds the entrance to her building correctly. The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store. According to the ADA rules, how long (horizontal distance) does the ramp need to be, in feet?
The length of the horizontal distance of the ramp if The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store is 28 feet.
What is ratio?Comparing one quantity to another is what it is. For instance, the weight ratio is 1:3 if you weigh 30 kg and your father weighs 90 kg.
Given:
The ratio of vertical and horizontal distance = 1:12,
The vertical distance of Mrs. Giles's business = 28 inches,
If for every one unit of vertical distance, the ramp must have 12 units of horizontal distance, so or 28 inches vertical distance the horizontal distance would be = 28 × 12 = 336 inches,
([tex]1 feet = 12inches[/tex])
= 336 / 12 = 28 feet
Therefore, The length of the horizontal distance of the ramp if The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store is 28 feet.
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Which expression is equivalent to
-2 + 4/5h -1
Answer:
1/2=0.5
Step-by-step explanation:
-2+4/5°-1=1/2
What are the factors of 4x2 - 4x - 15?
Select TWO correct answers.
2x-5
4x + 5
2x + 3
2x-3
x-3
2x + 5
2x+3 x-3 those are correct
Part A: Use the Pythagorean Theorem to derive the standard equation of the circle, with center at (a, b) and a point on the circle at (x, y). Show all necessary math work.
Part B: If (a, b) = (5, –2) and c = 10, determine the domain and range of the circle.
Part C: Is the point (10, 2) inside the border of the circle if (a, b) = (5, –2) and c = 10? Explain using mathematical evidence.
The distance to the point is less than c=10, so the point is inside the circle.
Given that, (a, b) = (5, –2) and c = 10.
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
Part A:
Use of the Pythagorean theorem gets you to the equation for a circle in essentially one step:
Sum of squares of sides = square of hypotenuse
(x -a)²+(y -b)² = c² circle centered on (a, b) with radius c.
Part B:
The circle will be defined for values of x in the domain f ± c, and for values of y in the range b ± c.
domain: 5 ± 10 = [5, -5]
Range: -2 ±10 = [8, -11]
Part C:
The distance from point (10, 2) to (a, b)=(5, -2) is
c² = (10-5)² +(-2-2)²
c² = 25+16
c² = 41
c=√41
c=6.4
The distance to the point is less than c=10, so the point is inside the circle.
Therefore, the distance to the point is less than c=10, so the point is inside the circle.
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The price of a technology stock was $9.69 yesterday. Today, the price fell to $9.56. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
1.3% decrease
Step-by-step explanation:
% change = (9.69 - 9.56) / 9.69) x 100 = 1.3% decrease
9.69-9.56 = 0.13
0.13/0.69= 0.0134158972
Multiply by 100 and you get 1.34158927
Round to nearest tenth and you get = 1.3%
Therefore, the percentage decrease is 1.3
Between which two consecutive integers is [tex]\sqrt{201}[/tex]
Answer:
14 and 15
Step-by-step explanation:
[tex]196<201<225 \\ \\ \sqrt{196}<\sqrt{201}<\sqrt{225} \\ \\ 14<\sqrt{201}<15[/tex]
Find the volume of the rectangular prism.
8 m
8 m
8 m
Answer:
Step-by-step explanation:
I believe that the volume of the rectangular prism is 512.
Explanation: V = whl = 8 · 8 · 8 = 512
V=Volume
W= Width
H= Height
L= Length
Find the missing number in the following puzzle.
Find the difference between -14w - 3 and 5w.
A -9 w - 3
B -19 w + 3
C -19 w - 3
D -22 w
Quick pls
Answer:
c
Step-by-step explanation:
cause -14w-3-(5w)
-14w-5w-3
-19w-3
What value is equivalent to (8+2) + (6 − 4) × 3?
Answer:
16
Step-by-step explanation:
(8+2) + (6 − 4) × 3
= 10+6
=16
Please Help 2
If a runner traveled a distance of d(h)=/16h4 in time t(h) = 3h4 - 3h3 -5h2 what is the runner's speed?
The runner's speed If a runner traveled a distance of d(h)=/16h4 in time t(h) = 3h^4 - 3h^3 -5h^2 is 4 /3h^2 - 3h -5h.
How can the speed be calculated?The concept that will be used to calculate this is the concept of speed which is the ratio of the distance per time which can be expressed as
speed = distance/time
Then we were given distance as d(h)=/16h^4
time as t(h) = 3h^4 - 3h^3 -5h^2
Speed = [tex]\sqrt{16h^4} /3h^4 - 3h^3 -5h^2[/tex]
Then we will have 4h^2 /3h^4 - 3h^3 -5h^2
then take h^2 from both the numerator and denominator and then cancel them , then we will have
= 4 /3h^2 - 3h -5h.
Therefore, the first option is correct.
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