Answer:
Original price was $56
Step-by-step explanation:
If $14 is 25% then to find 100% multiply $14 by 4
then you will get $56
i need help asap!! this is due soon!!!
What is the inequality notation of this equation??
(-∞,3)∪(5,∞)
Answer:
Interval notation to inequality notation
Please help me with this escape room due at 12 tonight
Answer:
Step-by-step explanation:
ben
Clearly, show all working on Folder Leaves. I 1. The area of a trapezium, A, is given by the formula A = (a+b)÷2 h, where a and b are the lengths of the parallel sides and h is the perpendicular height. a) Apply the necessary operations to make side 'b' the subject.
Making b the subject in the formula for area of a trapezium, A, given by A = (a+b)÷2 h is found to be b = 2A/h - a
How to write the expression in terms o f bThe given expression for area of trapezium is A = (a+b)÷2*h
b is solved for as follows
A = (a+b)÷2*h
A = h * (a+b)/2
divide through by h
A/h = (a+b)/2
multiply through by 2
2A/h = (a + b)
2A/h = a + b
b = 2A/h - a
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A health club charges a $50 initial fee plus $2 per visit. Brenda has spent a total of $144 at the health club this year. How many visits has she made?
Rewrite the ratio 8: 36 as an equivalent ratio of the form 1 : n.
Give any decimals in your answer to 1 d.p.
The value of n in 1:n is 4.5 in the given equivalent ratio.
What is equivalent ratio?
The concept of a ratio in mathematics is the divisional comparison of two quantities, the antecedent and consequent. As an illustration, each ingredient must be added according to a ratio during cooking. So, we may argue that a ratio is employed to represent one quantity as a portion of another. The ratio can be written as a fraction as well. If the ratio a:b is a fraction, its form is a/b. As a result, it is simple to compare two or more equivalent ratios expressed as equivalent fractions.
The given ratio is 8:36.
In fraction form = 8/36
= 1 / 4.5
=1:4.5
Hence, the value of n in 1:n is 4.5.
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help me i need it bad
Answer:
36
I looked it up on
If 1 pound = 16 ounces, how many pounds are in 435 ounces?
Answer: 27.1875 pounds
Step-by-step explanation:
To find out how many pounds are in 435 ounces, we need to divide the number of ounces by the number of ounces per pound. Since 1 pound is equal to 16 ounces, we can divide 435 ounces by 16 ounces per pound to get the number of pounds. This gives us 435 ounces / 16 ounces/pound = 27.1875 pounds.
Therefore, there are approximately 27.1875 pounds in 435 ounces.
Answer:
27.1875 pounds
Step-by-step explanation:
1 pound = 16 ounces,
x pounds = 435 ounces
x = 435 ounces * 1 pound / 16 ounces
x = 27.1875 pounds
determine the area under the standard normal curve that lies to the right of the z-score −0.97 and to the left of the z-score −0.59.
0.1116 is the area under the standard normal curve using the given z-score.
What is Z-score?The standard score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed.
Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.
The 90th percentile's z-score is 1.2816, as calculated by the Percentile to Z-Score Calculator.
Therefore, a student's z-score would be deemed "excellent" if it was greater than or equal to 1.2816.
So, the area under the standard normal curve will be:
Find the z-scores by looking at the table's intersection of the 0.9 down and 0.07 across columns, which is 0.1660.
Similarly, find -0.5 down and 0.09 across to get 0.2776.
Add them together now: 0.2776 - 0.1660 = 0.1116
Therefore, 0.1116 is the area under the standard normal curve using the given z-score.
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Kavion and Samantha like to collect stamps. Kavion 45 has stamps. This is 3 times 2 less than the number of stamps Samantha has.
Kevion and Samantha like to collect stamps and if Kevion has 45 stamps then Samantha has 45*3-2= 129 stamps.
What are Mathematical operations?The fundamental methods for mixing numbers or algebraic expressions to carry out mathematical computations are known as mathematical operations. These operations include multiplication, division, exponentiation, multiplication, and subtraction. More complex operations, such square roots, logarithms, and trigonometric functions, are available in addition to these fundamental operations. Mathematical operations are employed in a wide collection of disciplines, from elementary arithmetic to intricate computations in engineering and physics. We can use these operations to resolve issues and generate predictions based on mathematical models. We may better comprehend the world around us and make more precise predictions about what will happen in the future by applying mathematical procedures.
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if anyone can help me that would be great pleasee click image to see
1) The equation of a line passing through the point (5, 9) in point slope form is; (y - 9) = 3(x - 5)
2) The equation that is parallel and passing through (0, 4) is; y = ¹/₂x + 4
3) The equation of the line parallel to y - 7 = 7(x - 3) and passing through the point (4, 2) is; (y - 2) = 7(x - 4)
4) Thus, the equation of the line parallel to y = -7x - 2and passing through (-9, -12) is; y = -7x - 75
How to find the equation of a line in slope intercept form?The general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
1) We are given the equation of a line as;
y = 3x + 5
where;
slope = 3
y-intercept = 5
Thus, the equation of a line passing through the point (5, 9) in point slope form is;
(y - y₁) = m(x - x₁)
Thus; (y - 9) = 3(x - 5)
2) Equation of a line is given as;
y = (1/2)x
Thus, the equation that is parallel and passing through (0, 4) is;
y - 4 = (1/2)(x - 0)
y - 4 = ¹/₂x
y = ¹/₂x + 4
3) We are given the equation;
y - 7 = 7(x - 3)
y - 7 = 7x - 21
y = 7x - 14
Thus, equation of the line passing through the point (4, 2) is;
(y - 2) = 7(x - 4)
4) We are given the equation;
y = -7x - 2
Thus, the equation of the line parallel and passing through (-9, -12) is;
y + 12 = -7(x + 9)
y = -7x - 63 - 12
y = -7x - 75
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The simultaneous equations mx + ny = 8 and m²x-n²y = - 10 has a solution x = 2 and y = 3. Find the possible values of the constants m and n.
The possible values of (m,n) are (1,2) and (-17,14).
What is a system of equations?A system having more than two equations is known as a system of equations.
Given that, the solution of the simultaneous equations is x = 2 and y = 3.
The given equations are:
mx + ny = 8
m²x - n²y = -10
Substitute x = 2 and y = 3 into the above equations:
2m + 3n= 8 (1)
2m² - 3n² = -10 (2)
Rewrite equation (1):
2m + 3n= 8
2m = 8 - 3n
m = (8 - 3n)/2 (3)
Substitute it into equation (2):
[tex]2\frac{(8-3n)^2}{4}-3n^2 = -10\\\\2(64 +9n^2-48n)-12n^2+40 =0\\\\128 +18n^2-96n-12n^2+40=0\\\\6n^2-96n+168=0\\\\n^2-16n+28=0\\\\n^2-14n-2n+28=0\\\\n(n-14)-2(n-14)=0\\\\(n-2)(n-14)=0[/tex]
n = 2 or n =14
Now, substitute n = 2 into equation (3):
m = (8-3×2)/2
m = 1
Further, substitute n = 14 into equation (3):
m = (8-3×14)/2
m = -17
Hence, the possible values of (m,n) are (1,2) and (-17,14).
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If marbles cost $48 per doz, how many marbles can be bought with $140?
Answer:
2.91666667 dozen marbles can be purchased.
Step-by-step explanation:
To get this answer, you divide $140, by how much it costs per dozen, so $48.
Thus, you can purchase 2.91666667 dozen marbles, with $140.
each side of a square is increasing at a rate of 7 cm/s. at what rate (in cm2/s) is the area of the square increasing when the area of the square is 64 cm2?
If each side of a square is increasing at a rate of 7 cm/s, then the rate of increasing the area of the the square when the area of the square is 64 cm square is 112 centimeter square per second
The rate of change of length with respect to the time = 7 cm per second
That is
dl / dt = 7 cm per second
The area of the square = l^2
Where l is the length of the square
The rate of change area with respect to the time is
dA / dt = 2l dl/dt
The area is given that 64 centimeter square and the side will be 8 cm
Substitute the values in the equation
dA / dt = 2 × 8 × 7
= 112 centimeter square per second
Therefore, the rate of increasing the area is 112 centimeter square per second
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Can someone help me out with this question? I've been practicing it this one is confusing to me
Answer:
NK = 26
Step-by-step explanation:
You have a triangle with the centroid identified and all medians drawn. You are given IK = 52 and want NK, where point N is the intersection of median JN with side IK.
CentroidThe centroid of a triangle is the point where the medians intersect. It divides each median in the ratio 2:1.
MedianA median of a triangle joins a vertex with the midpoint of the opposite side. Here, that means point N is the midpoint of side IK.
IK is given as length 52, so each half of that segment is 52/2 = 26.
IN = NK = 26
I thought of a number. My number tripled is 11 less than 26. Find my number?
Answer:
Not sure, maybe it's 5?
Step-by-step explanation:
[tex]26-11=15[/tex]
[tex]15[/tex] ÷ [tex]3=5[/tex]
Helpppppp!!!!!!!!!!!!!!!!!!!!!
Exercise 6. A quadrangular pyramid has a rectangular base of dimensions 6 cm and 8 cm and height 12 cm. a) Draw the lateral edges of the pyramid; b) Calculate the volume of the pyramid; c) Calculate the total surface area of the pyramid
Answer:
Step-by-step explanation:
6you can mow 800 sq ft of lawn in 15 minutes. at this rate, how many minutes will you take to mow a lawn that measures 6000 sq ft
It will take 112.5 minutes to mow a lawn that measures 6000 sq ft .
In the question ,
it is given that ,
the time taken to mow 800 sq ft of the given lawn is = 15 minutes ,
So , the time taken to mow 1 sq ft of lawn is = 15/800 minutes .
to find the time taken to mow 6000 sq ft , we multiply by 6000 ,
We get ,
time taken to mow 6000 sq ft of the lawn is = 6000*(15/800)
on solving , we have
= 90000/8000
Simplifying further ,
we get ,
= 112.5 minutes
Therefore , 6000 sq ft lawn will be mowed in 112.5 minutes .
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A scientist is determining
the mass of 30,000
molecules of oxygen.
a. How many
significant digits
should be in the
solution?
Mass of one molecule of
oxygen = 5.3 x 10-23 gram
Answer:
The mass of the 30,000 molecules is 1.59\times 10^{-18}1.59×10
−18
Given that,
There are 30,000 molecules.
And, the mass of one molecule of oxygen i.e. 5.3\times 10^{-23}5.3×10
−23
gram.
Based on the above information, the calculation is as follows:
\begin{gathered}= 30,000 \times 5.3\times 10^{-23}\\\\= 3\times10^4 \times 5.3\times 10^{-23}\\\\= 15.9\times 10^{-23+4}\\\\= 15.9\times 10^{-19}\\\\= 1.59\times 10^{-19}\times 10\\\\= 1.59\times 10^{-18}\end{gathered}
=30,000×5.3×10
−23
=3×10
4
×5.3×10
−23
=15.9×10
−23+4
=15.9×10
−19
=1.59×10
−19
×10
=1.59×10
−18
Therefore we can conclude that the mass of the 30,000 molecules is 1.59\times 10^{-18}1.59×10
−18
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calculate a two-sided 95% confidence interval for true average degree of polymerization. (round your answers to two decimal places.)
95% confidence interval for true average degree of polymerization is [430.87 ; 446.07] and this interval suggest that 441 is a plausible value for true average degree of polymerization and also this interval does not suggest that 451 is a plausible value.
Given :
Sample = [ 418, 421, 421, 422, 425, 428, 431, 435, 437, 438, 445, 447, 448, 453, 458, 462, 465 ]95% confidence interval.The total number of values given is, n = 17
Mean, μ₀ = 438.47
Standard Deviation, σ = 14.79
The normal distribution is given by: N (438.47 ; 14.79)
If Cl is 95% then is 5% and is 2.5%
α/2 = 0.025
Now, use t-statistics distribution with (n -1) degree of freedom
df = 16
So, the t score for 0.025 and 16 s from t-table 2.120.
CI = [ μ₀ ± [tex]t_{\alpha /2}[/tex] ; (n-1) × σ/ √n]
⇒ CI = [μ₀ ± 2.120 × 14.79/√17
⇒ CI = [ μ₀ ± 7.60]
⇒ CI = 430.87 ; 446.07]
Yes, the interval suggests that 441 is a plausible value for true average degree of polymerization.
No, the interval does not suggest that 451 is a plausible value.
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help! trigonometry, ty
The logarithmic expression as a single logarithm is [tex]log_{2}[/tex](a[tex]b^{2}[/tex]/[tex]c^{3}[/tex])
What is logarithm?A logarithm is defined as the power to which a number must be raised to get some other values. It is the most convenient way to express large numbers. A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction.
[tex]log_{2}a + 2log_{2}b - 3log_{2}c[/tex]
[tex]2log_{2}b[/tex] may be simplified as [tex]log_{2}b^{2}[/tex]
[tex]3log_{2}c[/tex] may be simplified as [tex]log_{2}c^{3}[/tex]
Which reduces the expression as
[tex]log_{2}a[/tex] + [tex]log_{2}b^{2}[/tex] - [tex]log_{2}c^{3}[/tex]
factor out log2 since it is common
and replace addition sign with multiplication and subtraction sign with division
[tex]log_{2}(\frac{a * b^{2} }{c^{3} })[/tex] which finally becomes [tex]log_{2}(ab^{2} /c^{3})[/tex]
In conclusion, the simplified form of the logarithmic expression is [tex]log_{2}(ab^{2} /c^{3})[/tex]
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on the trip from detroit to colombus, ohio, mrs smith drove an average speed of 60 mph. returning, her average speed was 55 mph. if it took her 1/3 of an hour longer on the return trip, how far is it from detroit to columbus
Distance from Detroit to columbus is 220 miles
It is given in the question,
The average speed Mrs. smith drove = 60 mph.
Returning, her average speed was 55 mph.
Time taken = 1/3 of an hour longer on the return trip
We have to Find total distance between Detroit and Columbus
So, Let the distance between Detroit and Columbus be "x" miles
Average speed = 60
So, time taken by her to cover distance of x miles with speed of 60 mph
Time = Distance / speed
=> t = x / 60
She Took x/60 hours to reach Columbus
While returning her speed was 55 mph.
So, time taken by her to cover the same distance but at a speed of 55 mph :
=> t = x / 55
Now we are given that she took 1/3 of hour more while returning .
So, [tex]\frac{x}{55} - \frac{x}{60} = \frac{1}{3}[/tex]
⇒ x/660 = 1/3
=> x = 660/3
=> x = 220 miles
Hence , Detroit is 220 miles far from Columbus
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residents of three villages with three different types of water supply were asked to participate in a survey to identify the prevalence of cholera carriers. virtually everyone present at the time submitted to examination. the proportion of residents in each village who were carriers was computed and compared. what type of study was this?
The type of study was cross-sectional study.
An example of an observational study design is the cross-sectional study design. In a cross-sectional study, the researcher simultaneously assesses the participants exposures and outcomes.
After choosing the study subjects, the researcher conducts the study in order to evaluate the exposure and results.
For population-based surveys and to determine the prevalence of illnesses in clinic-based samples, cross-sectional designs are employed.
These studies are typically affordable and reasonably quick to carry out.
An illustration of a cross-sectional study might be a medical investigation into the incidence of cancer in a particular community.
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state the derivatives for the six inverse trigonometric functions. what study suggestions would you recommend for fellow students to learn these?
Derivative of six inverse trigonometric functions are as follow:
d/dx(sin⁻¹x) = 1 / √1 - x²
d/dx(cos⁻¹x) = -1 / √1 - x²
d/dx(tan⁻¹x) = 1 / √1 + x²
d/dx(cosec⁻¹x) = -1 / |x|√ x² - 1
d/dx(sec⁻¹x) = 1 / |x|√ x² -1
d/dx(cot⁻¹x) = -1 / √1 + x²
As given in the question,
Explanation of the derivative of six inverse trigonometric functions are as follow:
1. y = sin⁻¹x
⇒ x = siny
⇒d/dx(x) = d/dx(siny)
⇒ 1 = cosy dy/dx
⇒dy/dx = 1/cosy
⇒dy/dx = 1/√1-sin²y
⇒dy/dx = 1/√1-x²
⇒d/dx( sin⁻¹x) = 1/√1-x²
2. y = cos⁻¹x
⇒ x = cosy
⇒d/dx(x) = d/dx(cosy)
⇒ 1 =-siny dy/dx
⇒dy/dx = -1/siny
⇒dy/dx = -1/√1-cos²y
⇒dy/dx = -1/√1-x²
⇒d/dx( cos⁻¹x) = -1/√1-x²
3. y = tan⁻¹x
⇒ x = tany
⇒d/dx(x) = d/dx(tany)
⇒ 1 =sec²y dy/dx
⇒dy/dx = 1/sec²y
⇒dy/dx = 1/√1+ tan²y
⇒dy/dx = 1/√1 + x²
⇒d/dx( tan⁻¹x) = 1/√1+x²
4. y = cosec⁻¹x
⇒ x = cosecy
⇒d/dx(x) = d/dx(cosecy)
⇒ 1 =-cosecy coty dy/dx
⇒dy/dx = -1/cosecy coty
⇒dy/dx = -1/cosecy√cosec²y-1
⇒dy/dx = -1/|x|√x²-1
⇒d/dx( cosec⁻¹x) = -1/|x|√x²-1
5. y = sec⁻¹x
⇒ x = secy
⇒d/dx(x) = d/dx(secy)
⇒ 1 =secy tany dy/dx
⇒dy/dx = 1/secy tany
⇒dy/dx = 1/secy√sec²y-1
⇒dy/dx = 1/|x|√x²-1
⇒d/dx( sec⁻¹x) = 1/|x|√x²-1
6. y = cot⁻¹x
⇒ x =coty
⇒d/dx(x) = d/dx(coty)
⇒ 1 =-cosec²y dy/dx
⇒dy/dx = -1/cosec²y
⇒dy/dx = -1/√1+ cot²y
⇒dy/dx = -1/√1 + x²
⇒d/dx( cot⁻¹x) = -1/√1+x²
Therefore, the derivative of the six inverse trigonometric functions are given below:
d/dx(sin⁻¹x) = 1 / √1 - x²
d/dx(cos⁻¹x) = -1 / √1 - x²
d/dx(tan⁻¹x) = 1 / √1 + x²
d/dx(cosec⁻¹x) = -1 / |x|√ x² - 1
d/dx(sec⁻¹x) = 1 / |x|√ x² -1
d/dx(cot⁻¹x) = -1 / √1 + x²
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Mary has 2/5 cups of flour, 1/4 cup of sugar 1/2 cups of baking powder. How much ingredients does mary have all together
if x/3 = y/9 then, 3/9 =
Answer:Y=6
Step-by-step explanation:
I will be using the substitution method:
x+y=9 y=x+3
X + (x + 3) = 9
2x + 3 = 9
*subtract 3 from both sides*
2x = 6
*divide by 2 on each side of the equal sign*
X = 3
find y:
y = 3 + 3
y = 6
check:
3 + 6 = 9
9 = 9 (correct)
The value of x is 3 and the value of y is 6
Please help now asap !!!!!!!!!?!
Answer: 2.12 miles.
Step-by-step explanation: To find the width of Hardee County, we need to determine the length of one of its sides. We can use the fact that the area of a rectangle is equal to its length times its width to find the length of one of its sides.
The area of Hardee County is 637 square miles, and we know that its width is 30 miles. We can use this information to write the following equation: 637 square miles = 30 miles * length
We can solve this equation for the length by dividing both sides by 30: 637 square miles / 30 miles = length
This simplifies to: 21.2 square miles = length
Since the length of a rectangle is one of its sides, the width of Hardee County is 21.2 miles.
A coin is flipped 8 times. find the probability of the event: exactly 6 heads a. 0.4375 b. 0.75 c. 0.0039 d. 0.109
The correct option d. 0.109, for the probability of the event: exactly 6 heads out of 8.
Describe the term binomial distribution?The possibility that a value would take one of 2 independent values given a particular combination of factors or assumptions is captured by the statistical distribution known as the binomial distribution.P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ
The probability of getting one head = 1/2.
p = 0.5.
Thus, the probability of getting one tail = 1/2
q = 0.5
Thus, for exactly 6 heads
P(X = 6) = ⁸C₆. (0.5)⁶ (0.5)²
P(X = 6) = 0.109
Thus, the probability of the event: exactly 6 heads on flipping coin 8 times is 0.109.
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what is 24+70 equals
What is the average rate of change in profit from hour 5 to hour 10, in dollars per hour?.
The profit increased at an average pace of $600 between Hour 5 to Hour 10.
What exactly defines rate of change?The term "rate of change" (ROC) describes the rate where something transforms over time. Thus, it is not the amount of individual themselves but rather the acceleration. (namely, the rate). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.An indicator of the how one dimension changes in proportion to another is a rate of change.
The table for the price is given as;
Hour Profit
0 $0
2.5 $500
5 $900
7.5 $1200
10 $1500
After 5 hours, the profit is 900, and after another 5 hours, the profit is 1500.
In order to determine that average rate of change, we must take 900 away from 1500.
1500-900 = 600
Thus, an average rate of change for profit during Hour 5 to Hour is therefore $600.
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Write a polynomial function with rational coefficients so that P(x)=0 p open x close equals 0 has the given roots.
7 and 12
Answer:
p(x)=x^2 -17 x + 84
Step-by-step explanation:
p(x)=(x-7)(x-12)
= x^2-17x+84