Answer:
x=266/41
Step-by-step explanation:
1ft 7in/3ft 5 in=x/40
or,12in+7in/36+5=x/40
or,19in/41in=x/40
or,19*40/41=x
•°•x=266/41
A local store charges $1.97 per pound for bananas and $4.49 for a gallon of apple juice what is the cost of 1.5 lb of bananas and 1 gallon of apple juice
The expense of 1.5 lbs of bananas and 1 gallon of apple juice, according to the provided statement, is $7.45.
What does arithmetic multiple mean?Multiplication is one of the four basic operations in mathematics, along with adding, subtracting, and division. Multiply in mathematics refers to the continual adding of sets of identical size.
The cost of 1.5 lb of bananas can be found by multiplying the price per pound by the number of pounds:
Cost of 1.5 lb of bananas = 1.5 x $1.97 = $2.96 (rounded to the nearest cent)
The cost of 1 gallon of apple juice is $4.49.
So, the total cost of 1.5 lb of bananas and 1 gallon of apple juice is:
Total cost = Cost of bananas + Cost of apple juice
Total cost = $2.96 + $4.49
Total cost = $7.45
Therefore, the cost of 1.5 lb of bananas and 1 gallon of apple juice is $7.45.
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When solving p2+5=8p-7, kate wrote p2+12=8p. The property she used is
Answer:
She used the addition property of equality:
p2 + 5 = 8p - 7
+7 +7
p2 + 12 = 8p
The local gym is offering this new promotion: An enrollment fee of $40 and a monthly fee of $30. Which of the following expressions represents the cost of the gym membership for m months?
40+30m=c40 plus 30 m is equal to c
30+40m=c30 plus 40 m is equal to c
40+30m40 plus 30 m
30+40m
The expression 40 + 30m = c represents the cost of the gym membership for m months option (A) 40 + 30m = c is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The local gym is offering this new promotion:
An enrollment fee of $40 and a monthly fee of $30.
Let m be the total number of months
Total monthly fee = 30m
Total cost(including the enrollment fee of $40) = 40 + 30m
Let the total cost is c:
c = 40 + 30m
If in the linear expression, one variable is present, then the bis known as the linear expression in one variable.
Thus, the expression 40 + 30m = c represents the cost of the gym membership for m months option (A) 40 + 30m = c is correct.
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Question #6 given f(x ) = x-4 g(x ) = 2x+2 c(x) = x+1 a. find the product of f(x) g(x) and simplify . b. use the result from part a and find the product of c(x ) and simplify c. describe the end behavior . question #6 given f(x ) = x-4 g(x ) = 2x+2 c(x) = x+1 a. find the product of f(x) g(x) and simplify . b. use the result from part a and find the product of c(x ) and simplify c. describe the end behavior . question #6 given f(x ) = x-4 g(x ) = 2x+2 c(x) = x+1 a. find the product of f(x) g(x) and simplify . b. use the result from part a and find the product of c(x ) and simplify c. describe the end behavior .
a) product of function f(x) and g(x) is 2x² - 6x - 8 and b) product of function that is in part a and an (x) is 2x³ - 4x² - 14x - 8.
Here are the three functions given:
f(x) = x -4
g(x) = 2x + 2
c(x) = x + 1
a) The product of function f(x) and g(x)
f(x). g(x) = (x -4). ( 2x + 2)
= x( 2x + 2) - 4(2x + 2)
= 2x² + 2x - 8x - 8
= 2x² - 6x -8
b) product of function f(x). g(x) and a(x)
f(x). g(x) . a(x) =( 2x² - 6x - 8 ). ( x + 1)
= x( 2x² - 6x - 8) + 1(2x² -6x - 8)
= 2x³ - 6x² -8x + 2x² - 6x -8
= 2x³ -4x² - 14x - 8
Therefore we get a) 2x² - 6x - 8 and b) 2x³ - 4x² - 14x -8.
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The half-life of a radioactive kind of praseodymium is 17 minutes. If you start with 56 grams of it, how much will be left after 34 minutes? grams Submit
Answer:
14
Step-by-step explanation:
First, find out how many half-lives have passed. Divide the number of minutes by the length of a half-life. 34÷17=22 half-lives have passed. Now figure out how much praseodymium will be left after 2 half-lives have passed. Multiply the starting amount of praseodymium by 12 a total of 2 times. 56 x 1/2 x 1/2 = 14 That calculation could also be written with exponents:56x (1/2)^2=14 After 2 half-lives, the amount of praseodymium left will be 14 grams.
Assuming the half-life of a radioactive kind of praseodymium is 17 minutes.The amount that will be left after 34 minutes is 14g.
Final amountSince 34 minutes is exactly 2 half-lives of 17 minutes.
Hence, remaining amount will then be:
Remaining amount= (1/2)×(1/2) = (1/2)² of the initial amount
Final amount:
Final amount = (1/2)² (56g)
Final amount=0.25 (56g)
Final amount = 14 g
Inconclusion the half-life of a radioactive kind of praseodymium is 17 minutes.The amount that will be left after 34 minutes is 14g.
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Triangle PQR is similar to triangle STU. Find the measure of side TU. Figures are not drawn to scale.
Step-by-step explanation:
when 2 triangles are similar, it means that both have the same angles. and that then all the corresponding side lengths relate to each other by the same multiplication factor.
PQ and ST are corresponding sides.
the length of ST (4) is the length of PQ (16) multiplied by 1/4.
16 × 1/4 = 4.
the same factor (1/4) also applies to the other sides.
and therefore,
TU = QR × 1/4 = 19.2 × 1/4 = 19.2/4 = 4.8
A company analyzed how inventory was affected during the first five hours after a commercial aired for its product. The relationship is shown on the graph below.
What happens to inventory as each hour passes?
A.
The inventory decreases by 20 units.
B.
The inventory decreases by 10 units.
C.
The inventory decreases by 5 units.
D.
The inventory decreases by 1 unit.
XY= 15 and YZ= 17 find XZ
Answer:
xz=255
Step-by-step explanation:
17 is prime so yz has to be 1*17
if that's the case xy=15*1
so 15*17=255
i need help someone plzzz
Answer:
on what...like brush how do we help u if u don't have a question
Which one of the following would be most helpful in strengthening the content validity of a test?
A. Administering a new test and an established test to the same group of students.
B. Calculating the correlation coefficient.
C. Calculating the reliability index.
D. Asking subject matter experts to rate each item in a test.
Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test
Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test. Content validity refers to the extent to which a test accurately measures the specific content or domain it is intended to assess. By involving subject matter experts, who are knowledgeable and experienced in the domain being tested, in the evaluation of each test item, we can gather expert opinions on the relevance, representativeness, and alignment of the items with the intended content. Their input can help ensure that the items are appropriate and adequately cover the content area being assessed, thus enhancing the content validity of the test.
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Can someone help me on question 12 please
Answer:
I think it is i
Step-by-step explanation:
The formula is 2(l+w)
2(13+8)
2(13)=26
2(8)=16
26+16=42
two integers that multiply to 18 and add to -11
Answer:
-9 and 2
Step-by-step explanation:
A researcher wants to estimate the mean cholesterol level of people in his city.
A random sample of 21 people yields a mean cholesterol level of 224 and a standard deviation of 12.
Construct a 95% confidence interval.
(219.69, 228.31)
(214.97, 233.03)
(219.60, 228.40)
(218.54, 229.46)
(223.01, 224.99)
confidence interval: This tells us the degree of certainty or uncertainty that is existent in a sampling method.
To construct a 95% confidence interval for the population mean cholesterol level, we can use the following formula:
CI = x ± t*(s/√n)
where x is the sample mean, s is the sample standard deviation, n is the sample size, and t is the t-value from the t-distribution with n-1 degrees of freedom and a confidence level of 95%.
Substituting the given values, we have:
CI = 224 ± t*(12/√21)
Using a t-table with 20 degrees of freedom (since n-1=20), we find that the t-value for a 95% confidence interval is approximately 2.086.
Thus, the confidence interval is:
CI = 224 ± 2.086*(12/√21)
CI = (219.60, 228.40)
Therefore, the answer is option (c) (219.60, 228.40).
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which of the following is parallel to the line y=3/4x+7
y=-4/3x+7
y=-3/4x+7
Are you sure you wrote the question corrcetly?
For something to be parallel their slopes have to be equal but their y-intercepts need to be different.
since your equation equals y=3/4x+7 that would mean that 3/4 is the slope.
so an answer with a slope of 3/4x and a y-intercept not equal to 7 would be the correct answer.
explain how increasing the difference between the sample mean and the original population mean influences the value of the z-score in a hypothesis test.
Answer:
Step-by-step explanation:
Increasing the difference between the sample mean and the original population mean will the and so will the Z score
Increasing the difference between the sample mean and the original population means. Increasing the population standard deviation. Increasing the number of scores in the sample. A larger difference will produce a larger value in the numerator which will produce a larger z-score.
Please help me I’m really bad at geometry
Answer:
x+15=180(being co-interior angle)
x=180-15
x=165
16." draas the graph of the folcaing function for \( 0 \leqslant x \leq 2 \) tr please state the period and omplitude of the final function \( y=3 \cos 2 x+\pi / 23-2 \)
The function will have a period of π and an amplitude of 3.
To graph the function y = 3cos(2x + π/2) - 2 for 0 ≤ x ≤ 2π, we can analyze its key components and then plot the points accordingly.
The period of the function can be determined by considering the coefficient of x in the argument of the cosine function. In this case, the coefficient is 2, which means the period is given by 2π/2 = π.
The amplitude of the function is the coefficient in front of the cosine function, which is 3 in this case.
To plot the graph, we can start by selecting some x-values within the range 0 ≤ x ≤ 2π and evaluate the corresponding y-values using the given function.
When x = 0:
y = 3cos(2(0) + π/2) - 2 = 3cos(π/2) - 2 = 3(0) - 2 = -2
When x = π/4:
y = 3cos(2(π/4) + π/2) - 2 = 3cos(π/2 + π/2) - 2 = 3cos(π) - 2 = -5
When x = π/2:
y = 3cos(2(π/2) + π/2) - 2 = 3cos(π + π/2) - 2 = 3cos(3π/2) - 2 = -2
When x = 3π/4:
y = 3cos(2(3π/4) + π/2) - 2 = 3cos(3π/2 + π/2) - 2 = 3cos(2π) - 2 = 1
When x = π:
y = 3cos(2π + π/2) - 2 = 3cos(5π/2) - 2 = 3(0) - 2 = -2
When x = 5π/4:
y = 3cos(2(5π/4) + π/2) - 2 = 3cos(5π/2 + π/2) - 2 = 3cos(3π) - 2 = -5
When x = 3π/2:
y = 3cos(2(3π/2) + π/2) - 2 = 3cos(3π + π/2) - 2 = 3cos(5π/2) - 2 = -2
When x = 7π/4:
y = 3cos(2(7π/4) + π/2) - 2 = 3cos(7π/2 + π/2) - 2 = 3cos(4π) - 2 = 1
When x = 2π:
y = 3cos(2(2π) + π/2) - 2 = 3cos(4π + π/2) - 2 = 3cos(9π/2) - 2 = -2
Based on these points, we can plot the graph of the function over the given range 0 ≤ x ≤ 2π. The graph will have a period of π and an amplitude of 3. It will oscillate between the values -2 and 1.
Correct Question:
Draw the graph of the following function for 0 ≤ x ≤ 2π. Please state the period and amplitude of the final function. y=3cos[2x+π/2]− 2
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Please help asap!!! Need help please I’ve been stuck for awhile
Answer:
(-1, 0) and (4, 5)
Step-by-step explanation:
You want the solution to the simultaneous equations ...
f(x) = x² -2x -3f(x) = x +1SolutionThe function f(x) is equal to itself, so we can write ...
x² -2x -3 = x +1
x² -3x -4 = 0 . . . . . . . . subtract (x+1)
(x -4)(x +1) = 0 . . . . . . . factor
x = 4 or x = -1 . . . . . . . values that make the factors zero
f(x) = x+1 = 5 or 0
The solutions are (x, f(x)) = (-1, 0) and (4, 5).
__
Additional comment
There are numerous ways to solve the equations. We like a graphing calculator for its speed and simplicity. The quadratic can be solved using the quadratic formula, completing the square, factoring, graphing, using a solver app or your calculator.
The constants in the binomial factors are factors of -4 that total -3.
-4 = (-4)(1) = (-2)(2) . . . . . . sums of these factors are -3, 0
The factor pair of interest is -4 and 1, giving us the binomial factors ...
(x-4)(x+1) = x² -3x -4.
The "zero product rule" tells you this product is zero only when one of the factors is zero. (x-4) = 0 means x=4, for example.
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Please help me With this question!!!
The solution is, the finally discounted price is 71.5.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
sale price = 90
15% discount, so, the price = 90* 85%
=76.5
now, after 5 discount, price became = 76.5 - 5
= 71.5
Hence, The solution is, the finally discounted price is 71.5.
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Fermat's Little Theorem a. State and prove Fermat's Little Theorem. b. State and prove/disprove the contrapositive of Fermat's Little Theorem. c. In plain language, explain what Fermat's Little Theorem means and discuss the importance it's importance in Mathematics.
a. Statement and Proof of Fermat's Little Theorem:
Fermat's Little Theorem concerns primes and integers in number theory.
Fermat's Little Theorem asserts that when a positive integer a, which is not divisible by a prime number p, is raised to the power of (p-1), the resultant remainder upon division by p will be 1.
So it will be: \(\\ a ^(^p^-^1) = 1 (mod p)\)
What is Fermat's Little TheoremThe Evidence has been gathered to substantiate this claim is:
In order to demonstrate the validity of Fermat's Little Theorem, we will examine a scenarios: one where a is divisible by p and the other where a is not divisible by p.If a is divisible by p, then a can be written as the product of p and a positive integer k. Expressing the value of a to the power of p minus one in relation to k and p can be achieved through utilization of the equation (k multiplied by p) raised to the power of p minus one.
By performing a simplification of the given expression, we can obtain the outcome where "a" to the power of "p" minus one is equivalent to "k" to the power of "p" minus one times "p" to the power of "p" minus one.
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-34, -21, -8.5 Complete the recursively defined function to describe this sequence.
The recursive definition of the arithmetic sequence -34, -21, -8 is:
f(1) = -34.f(n + 1) = f(n) + 13.What is an arithmetic sequence?It is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
The nth term of an arithmetic sequence is given by the rule presented as follows:
\(a_n = a_1 + (n - 1)d\)
In which \(a_1\) is the first term of the sequence.
An arithmetic sequence can also be defined recursively, as follows:
\(f(1) = a_1\)f(n + 1) = f(n) + d.In this problem, the sequence is given as follows:
-34, -21, -8.
Hence the first term and the common ratio are given as follows:
First term: -34.Common ratio: 13, as each term is the previous term added to 13.Hence the recursive definition of the sequence is:
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Tell whether you would use the Law of Sines, the Law of Cosines, or the Pythagorean Theorem and trigonometric ratios to find the unknown measures in the triangle with the given information. I know we use law of sine but not the rest.
The unknown measure are m∠C = 64°, a ≈ 19.16 and c ≈ 18.11.
Why is Law of Sines to be used?As the triangle is not a right angled triangles, then neither Law of Cosines, or the Pythagorean Theorem and trigonometric ratios will be used, as all the theory are only possible when triangle is right angled and for law of cosines 2 sides are to be known is must.
Here, we can only use Law of Sines that is:
\($ \rm \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}\)
A = angle A
a = length of side a
B = angle B
b = length of side b
C = angle C
c = length side c
Then leys find measure of angle first using angle sum property:
m∠C = 180° - (72° + 44°)
m∠C = 180° - 116°
m∠C = 64°
As per the Law of Sines, tο find the length οf sides οf triangle say △ABC, we can write as;
\($ \rm \frac{\sin (72^{\circ})}{a}=\frac{\sin (44^{\circ})}{14}=\frac{\sin (64^{\circ})}{c}\)
Lets solve each one by one:
\($ \rm \frac{\sin (72^{\circ})}{a}=\frac{\sin (44^{\circ})}{14}\)
a × sin(44°) = 14 × sin(72°)
\($ \rm a=\frac{14 \times \sin (72^{\circ})}{\sin (44^{\circ})}\)
\($ \rm a=\frac{14 \times 0.9511}{0.6947}\)
\($ \rm a=\frac{13.3154}{0.6947}\)
a ≈ 19.16
Then for c:
\($ \rm \frac{\sin (64^{\circ})}{c} = \frac{\sin (44^{\circ})}{14}\)
c × sin(44°) = 14 × sin(64°)
\($ \rm c=\frac{14 \times \sin (64^{\circ})}{\sin (44^{\circ})}\)
\($ \rm c=\frac{14 \times 0.898794}{0.6947}\)
\($ \rm c=\frac{12.583116}{0.6947}\)
c ≈ 18.11
Thus, The unknown measure are m∠C = 64°, a ≈ 19.16 and c ≈ 18.11
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--- Ensures items requested match item numbers on DA Form 3151-R
--- Loads and secures the ammunition
--- Placards the vehicle
Which of the following tasks does the unit personnel perform when receiving ammunition?
When receiving ammunition, unit personnel perform three tasks: ensuring items requested match item numbers on DA Form 3151-R, loading and securing the ammunition, and placarding the vehicle.
The first task performed by unit personnel when receiving ammunition is to ensure that the items requested match the item numbers on DA Form 3151-R. This form serves as a record of the types and quantities of ammunition being received. By comparing the requested items with the item numbers on the form, personnel ensure accuracy and prevent any discrepancies or errors in the delivery.
The second task involves the loading and securing of the ammunition. Unit personnel are responsible for safely and efficiently loading the ammunition onto the designated vehicle or storage area. This includes following proper handling procedures, using appropriate equipment, and adhering to safety protocols. The ammunition must be securely stored and arranged to prevent shifting or damage during transportation.
The final task is to placard the vehicle. Placarding involves visibly displaying the necessary warning signs or labels on the vehicle that indicate the presence of ammunition. This step is crucial for safety and compliance purposes, as it alerts other personnel and drivers to exercise caution when approaching or handling the vehicle. Clear and prominent placarding helps prevent accidents and ensures that everyone involved is aware of the potential hazards associated with transporting ammunition.
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Brian paid $7.84 at the grocery store for carrots and potatoes he bought 5 pounds of carrots at $0.89 per pound and 3 pounds of potatoes how much did Brian pay per pound for the potatoes he bought ?
Answer:
Brian paid $1.13 for each pound of potatoes
Step-by-step explanation:
Bought 5 pounds of carrots and each pound cost 0.89 dollars
Bought 3 pounds of potatoes and the cost of each pound is unknown
5(0.89) + 3p = 7.84
4.45 + 3p=7.84
subtract 4.45 from each side
3p=3.39
divide by 3
p=1.13
Brian paid $1.13 for each pound of potatoes
Answer:
Brian paid $1.13 for each pound of potatoes
Step-by-step explanation:
At a California border inspection station, vehicles arrive at the rate of 2 per hour in a Poisson distribution. For simplicity in this problem, assume that there is only one lane and one inspector, who can inspect vehicles with average exponentially distributed time of 15 minutes. a. What is the probability that the inspector will be idle?
Poisson distribution is used to describe the arrival rate and exponential distribution is used to describe the service time. The probability that the inspector will be idle is 0.1246. Given information: λ = 2 vehicles/hour
μ = 15 minutes per vehicle
= 0.25 hours per vehicle
To find out the probability that the inspector will be idle, we need to use the formula for the probability that a server is idle in a queuing system. Using the formula for probability that a server is idle in a queuing system: where
λ = arrival rate
μ = service rate
n = the number of servers in the system Given, there is only one lane and one inspector. Hence, the probability that the inspector will be idle is 0.2424. In queuing theory, Poisson distribution is used to describe the arrival rate and exponential distribution is used to describe the service time.
In this problem, vehicles arrive at the rate of 2 per hour and the inspector can inspect the vehicle in an average of 15 minutes which can be written in hours as 0.25 hours. To find out the probability that the inspector will be idle, we need to use the formula for the probability that a server is idle in a queuing system. In this formula, we use the arrival rate and service rate to find out the probability that the server is idle. In this case, as there is only one inspector and one lane, n = 1. Using the formula, we get the probability that the inspector will be idle as 0.2424.
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A cone with the same base but a height 3 times taller than the given cylinder exists. What is the volume of each figure? Express your answers in terms of pi.
Volume of the cylinder =
Volume of the cone =
Pls i need help
Answer:
Step-by-step explanation:
131.95
The volume of cylinder and cone are \(36\pi\) cubic unit.
Volume of cylinder :It is given by formula, \(V=\pi r^{2}h\)
Where r is base radius and h is height of cylinder.
Given that, \(r=3,h=4\)
Substitute values in above formula,
\(V=\pi*3^{2} *4=36\pi\)
Volume of the cone is,
\(V=\frac{1}{3} \pi r^{2}h\)
Given that, \(r=3,h=3*4=12\)
Substitute values in above formula.
\(V=\frac{1}{3}\pi*3^{2}*12=36\pi\)
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Item 4
This scale drawing shows a reduction in a figure.
What is the value of x?
Enter your answer as a decimal in the box.
x =
Answer:
x = 6.3 ft
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, reduction to original.
scale factor = \(\frac{5.2}{10.4}\) = \(\frac{1}{2}\)
Then
x = 12.6 × \(\frac{1}{2}\) = 6.3 ft
Answer:
The answer is 6.3
Step-by-step explanation:
Could you mark me brainiest.
Help me please it due tomorrow!!!!
Please and Thank you!!!
Thank you
Reading the story, that's just
2c + j - d = $9 + $9 + $70 - $8 = 88 - 8 = $80
Answer: $80
Answer:
$80
Step-by-step explanation:
$9+$9= $18
$18 + $70= $88
$88 - $8= $80
Question meant for only the smartest. Please help would be much appreciated!
Answer:
the length of DE is 1/2*9 = 4.5
true or false: every set of 15 socks chosen among 14 pairs of socks contains at least one matched pair. explain why.
The statement of the given question is True.
True. This is because there are only 14 different types of socks to choose from, so if you choose 15 socks, there must be at least one pair of socks that match. This is known as the Pigeonhole Principle, which states that if there are more pigeons than pigeonholes, at least one pigeonhole must contain more than one pigeon. In this case, the socks are the pigeons and the different types of socks are the pigeonholes.
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