Answer:
\(his \: reasoning \: is \: correct.\)
Step-by-step explanation:
\(since \: the \: ratio \: of \: the \: glass \: to \:that \\ \: of \: the \: thermos \: is \: in \: the \: fraction : \\ \frac{2 7 0 mL }{1mL} \: which \: is \:270 mL : 1mL \\ then \: the \: keem \: is \: right.\)
30
Which of the following equations represents the line with a slope of 1/7 and a y-intercept of negative 4?
y = -1/7x - 4
y = 1/7x + 4
y = -1/7x + 4
y = 1/7x - 4
*Find 6 5/8% of $1,480.90. Round to the nearest cent.
9514 1404 393
Answer:
$98.11
Step-by-step explanation:
If your calculator doesn't work with mixed numbers, you must first convert 6 5/8% to a decimal fraction.
6 5/8 = (6·8+5)/8 = 53/8 = 6.625
6 5/8% = 0.01×6.625 = 0.06625
Then the desired amount is ...
0.06625 × $1480.90 = $98.109625 ≈ $98.11
6 5/8% of $1,480.90 is $98.11.
Sam's little brother hung a picture on the refrigerator upside down. What transformation can Sam perform, so that the picture in hanging the right way. 8th grade math
Lauder Company had fixed costs of $282,500, variable costs of $645,000, and actual sales amounted to $1,100,000. If the company has a break-even point at $750,000 in sales revenue.a. determine the margin of safety expressed in dollars
b. determine the margin of safety expressed as a percentage of sales. Enter percentage amount as a whole number.
____%
c. Determine contribution margin ratio
_____%
d. Determine the operating income
$______
The Operating income is $172,500.
To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.
a. Margin of Safety:
Margin of Safety = Actual Sales - Break-even Sales
Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:
Margin of Safety = $1,100,000 - $750,000 = $350,000
Therefore, the margin of safety is $350,000.
b. Margin of Safety as a Percentage of Sales:
Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100
Using the values from the previous calculations:
Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%
Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.
c. Contribution Margin Ratio:
Contribution Margin Ratio = (Contribution Margin / Sales) * 100
To calculate the contribution margin, we need to subtract variable costs from sales:
Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000
Using the values, we can calculate the contribution margin ratio:
Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%
Therefore, the contribution margin ratio is approximately 41.36%.
d. Operating Income:
Operating Income = Sales - Variable Costs - Fixed Costs
Using the values provided:
Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500
Therefore, the operating income is $172,500.
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Please help and thank you
Daniella: Were you thinking of perpendicular lines?
Ori: It seems like you've got the basic idea, but your definition could be more precise.
Kaori: Yes! Well done. Here, have a cookie. You've earned it.
Help PLS ASAP!!!!!!!!!!!!
Answer:
The answer is
" THe middle triangle is scalene"
and "the right and left triangle are isosceles"
Step-by-step explanation:
This is because B, and D are wrong.
B is wrong because all three sides are different lengths
D is wrong because the right and left triangles are not equalateral
give brainliest please!
hope this helps :)
A researcher wishes to estimate the proportion of X-ray machines that malfunction. A random sample of 250 machines is taken, and 67 of the machines in the sample malfunction. Based upon this, compute a 90% confidence interval for the proportion of all X-ray machines that malfunction. Then find the lower limit and upper limit of the 90 % confidence interval.
The confidence interval's upper and lower limits, respectively, are \(0.330\) and \(0.206\).
In arithmetic, how do you determine the lower limit?Similar to the upper limit, the lower threshold is indeed the smallest value in the class interval. To get the real lower limit, take the smallest number and either deduct 0.5 from it if it's a whole number or 0.05 from it if it's a decimal.
What are the mathematical upper and lower limits?The highest and smallest values which a number may have prior to being rounded are known as upper and lower limits. These are also known as accuracy limitations.
\(CI = p +- z\sqrt{(p(1-p)/n)}\)
where
\(p =\) sample proportion \(= 67/250 = 0.268\)
\(z = z-\)score for a \(90\)% confidence level \(= 1.645\) (from standard normal distribution table or calculator)
\(n =\) sample size \(= 250\)
Substituting these values, we get:
\(CI = 0.268 +- 1.645\sqrt{(0.268(1-0.268)} /250)\)
\(= 0.268 +- 0.062\)
Therefore, the \(90\)% confidence interval for the proportion of all X-ray machines that malfunction is \((0.206, 0.330)\).
The lower limit of the confidence interval is \(0.206\), and the upper limit is \(0.330\).
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An ice cream cone has a heig
ht of 6 inches and a diameter of 2.5 inches. If it’s only filled to the top of the cone, about how much ice cream can the cone hold?
Amount of ice cream can the cone hold is, 9.8 inches³
We have to given that;
An ice cream cone has a height of 6 inches and a diameter of 2.5 inches.
Hence, We get;
Radius of cone = 2.5 / 2 = 1.25 inches
Since, We know that;
Volume of cone is,
V = πr²h/3
v = 3.14 × 1.25² × 6 / 3
V = 9.8 inches³
Hence, Amount of ice cream can the cone hold is, 9.8 inches³
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solve by elimination -6x+6y=6 -6x+3y=-12
Answer:
3y=-6 ÷3
y=-2
Step-by-step explanation:
prove me wrong
Answer:
x=5
y=6
Step-by-step explanation:
-6x+6y=6 6x-6y=-6
-6x+3y=-12 -6x+3y=-12
-3y=-18
y=6
plug 6 into y for any equation
-6x+36=6
-6x=-30
x=5
Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?
Answer:
59
Step-by-step explanation:
6 plus 4 equals 8 plus 9
As an estimation we are told 5 miles is 8 km.
Convert 25 miles to km.
Answer:
40
Step-by-step explanation:
5:8=25:x
x=40
Answer correctly for brainlist
Answer:
Quadrilaterals
Step-by-step explanation:
Formula?
$268 is deposited into savings account at 4% interest, compounded quarterly. To the nearest year, how long will it take for the account balance to reach $427?
Answer: 12 years
PLZ HELP E!!!!!!! WILL MARK BRAINLIEST
Prove that -tan^(2)x + sec^(2)x = 1 is an identity
and if you can show your work that would help
Answer:
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
Start on the left side.
1
+
sec
2
(
x
)
sin
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
+
1
cos
2
(
x
)
sin
2
(
x
)
Write
sin
2
(
x
)
as a fraction with denominator
1
.
1
+
1
cos
2
(
x
)
⋅
sin
2
(
x
)
1
Combine.
1
+
1
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
sin
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
cos
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
Apply Pythagorean identity in reverse.
1
+
1
−
cos
2
(
x
)
cos
2
(
x
)
Simplify.
Tap for more steps...
1
cos
2
(
x
)
Now consider the right side of the equation.
sec
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
2
cos
2
(
x
)
One to any power is one.
1
cos
2
(
x
)
Because the two sides have been shown to be equivalent, the equation is an identity.
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
is an identity
Step-by-step explanation:
Need help asap! (50 points)
Answer:
8
Step-by-step explanation:
160×5%
\(\frac{160 * 5}{100}\) = 8
12) A large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a
party, how many boxes of crackers should he buy?
Answer: about 3 boxes would be 3.50 lbs so idrk
Step-by-step explanation:
please help me im doing pre alg and i cant figure out wether i shade up or to the side; graph x > 1
The representations of the inequality is an open circle is at 1 and a bold line starts at 1 and is pointing to the right.
How to graph an inequality?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.
Since our answer is x > 1. An open circle will be at 1 and a bold line starts at 1 and is pointing to the right (>). Check the attached image.
Note: You only shade up if you have ≤ (less than or equal) or ≥ (greater than or equal).
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14 points! PLEASE HELP!!!
Step-by-step explanation:
I just did in the other posting. how often did you post it ?
this is a trick question. the triangle at the top is not an isoceles triangle.
we use Pythagoras for an the steps.
so, the left part of the baseline (split by the height) is calculated by
12² = 10² + part²
144 = 100 + part²
part = sqrt(44) = 6.633249581... ft
the other part is then
20 - 6.633249581... = 13.36675042... ft
and the second leg of the large triangle is
leg² = 10² + 13.36675042...² = 278.6700168...
leg = 16.69341238... ft
P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈
≈ 64.69 ft
please see the answer to the other posting for more details.
a
A football field has an approximate area
of 5350 square meters. If it has a width of
50 meters, what is the field's approximate
length?
Orlo
low
A. 5400 m
B. 5300 m
C. 117 m
D. 107 m
Answer:
5350 / 50 = 107
Step-by-step explanation:
The answer is D, 107m
Timothy purchased a computer for $1,000.
The value of the computer depreciates by 20% every year.
This situation represents [a.) exponential decay, b.) exponential growth]
The rate of growth or decay, r, is equal to [c.) 0.8, d.) 1.2, e.)0.2
year.
So the value of the computer each year is [f.) 20 %, g.) 80%, h.) 120%] of the value in the previous year.
It will take [i.) 3, j.) 2, k.) 4, l.) 5.] years for the value of the computer to reach $512.
Answer:
This situation represents [a.) exponential decay
The rate of growth or decay, r, is equal to c.) 0.2
So the value of the computer each year is g.) 80% of the value in the previous year.
It will take [i.) 3 years for the value of the computer to reach $512.
Step-by-step explanation:
Since the value depreciates each year, it represents exponential decay.
The rate of growth or decay, r, is equal to
Depreciates 20%, so r = 0.2.
So the value of the computer each year is ... of the value in the previous year,
Depreciates 20%, so it is 100% - 20% = 80% of the value in the previous year.
It will take x years for the value of the computer to reach $512.
The value of the computer after x years is given by:
\(V(x) = V(0)(1-r)^x\)
In which V(0) is the initial value and r is the decay rate. So
\(V(x) = 1000(1-0.2)^x\)
\(V(x) = 1000(0.8)^x\)
We want to find x for which V(x) = 512. So
\(V(x) = 1000(0.8)^x\)
\(512 = 1000(0.8)^x\)
\((0.8)^x = \frac{512}{1000}\)
\((0.8)^x = (0.512)\)
Applying log to both sides:
\(\log{(0.8)^x} = \log{(0.512)}\)
\(x\log{0.8} = \log{(0.512)}\)
\(x = \frac{\log{0.512}}{\log{0.8}}\)
\(x = 3\)
So it will take 3 years.
Maya clocked in on Tuesday at 7:14am and left for lunch at 11:44am. She returned at 12:00pm and finally clocked out at 5:54pm. How many hours did Maya work?
Answer:
she worked 16 hours and 40 minutes
One reason for using a distribution instead of the standard Normal curve to find critical values when calculating a level C confidence interval for a population mean is that
(a) z can be used only for large samples.
(b) z requires that you know the population standard deviation θ
.
(c) z requires that you can regard your data as an SRS from the population.
(d) the standard Normal table doesn't include confidence levels at the bottom.
(e) a z critical value will lead to a wider interval than a t critical value.
(b) z requires that you know the population standard deviation θ
.
Therefore , the solution of the given problem of standard deviation comes out to be the group standard deviation in order to use (b) z.
What does standard deviation actually mean?Statistics uses variance as a way to quantify difference. The image of the result is used to compute the average deviation between the collected data and the mean. Contrary to many other valid measures of variability, it includes those pieces of data on their own by comparing each number to the mean. Variations may be caused by willful mistakes, irrational expectations, or shifting economic or business conditions.
Here,
We use the z-distribution if the total standard deviation is known; otherwise, we use the t-distribution.
Additionally, for small sample sizes, the t-distribution is used, whereas for big sample sizes, the z-distribution is used.
The fact that z requires that you know the population standard deviation, and that this is frequently not known in practice, is one reason to use a distribution rather than the traditional .
Normal curve to find critical values when computing a level C confidence interval for a population mean.
You must be aware of the group standard deviation in order to use (b) z.
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-1+3[(10-12)/(-16) ]
On a coordinate plane, a point is 4 units to the left and 1 unit down.
For the point shown:
The x-coordinate is
.
The y-coordinate is
.
The point is in quadrant
.
.
The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.
In which quadrant is the point?First, remember that for a point (x, y):
if x >0, y > 0, then the point is in quadrant I.if x <0, y > 0, then the point is in quadrant II.if x < 0, y < 0, then the point is in quadrant III.if x >0, y < 0, then the point is in quadrant IV.For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:
(-4, -1)
Then we can see that this point is on the quadrant III.
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the graph y = sin x(dashed line) has been translated to give graph G
The equation of the translated function G(x) is given by:
G(x) = sin(x) + 2.
What is a translation?There are many transformations that can happen to the graph of a function, such as translation, stretch, compression, rotation, reflection, dilation and so on.
In the context of this problem, the transformation was a translation, in which the graph of the function is moved either left, right, up or down.
The parent function in this problem is:
y = sin(x).
From the given image, the function y, given by the dashed line, was shifted up 2 units to generate the function g(x), hence the definition of function g(x) is given by:
g(x) = sin(x) + 2.
The addition by 2 in the range of the function represents the translation up 2 units of the function.
What is the missing information?The graph is missing and is given by the image at the end of the answer.
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Write the equation of a circle with a diameter endpoints of 13 and -1 and 15 and 9
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
Given that:
Endpoints of diameter, (13, -1) and (15, 9)
The equation of the circle when endpoints of diameter are given is written as,
(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0
The equation of the circle is calculated as,
(x - 13)(x - 15) + (y + 1)(y - 9) = 0
x² - 28x + 195 + y² - 8y - 9 = 0
x² + y² - 28x - 8y + 186 = 0
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
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Una sala de cine de New York vende las entradas para niños a 3 dólares y las de los adultos a 5 dólares. Si para ver una película pueden ingresar tanto niños como adultos y en un día
ingresan 345 espectadores, recaudando por concepto de venta de boletas 1365 dólares. Se
puede afirmar que el número de niños y adultos que ingresaron fue:
A la sala de cine ingresaron 180 niños y 165 adultos.
¿Cuántos niños y adultos ingresaron a una sala de cine?
De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:
3 · x + 5 · (345 - x) = 1365
Donde x es el número de niños que asistieron a la sala de cine.
Ahora despejamos la variable correspondiente mediante propiedades algebraicas:
3 · x + 1725 - 5 · x = 1365
1725 - 2 · x = 1365
2 · x = 1725 - 1365
2 · x = 360
x = 180
Ahora, el número de adultos es:
y = 345 - 180
y = 165
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following function find the y intercept , x intercept the turning point and then draw the Sketch of each graph 7(x)=3x_4x+1
The x-intercepts are at (1, 0) and (1/3, 0), so we plot these Points on the x-axis. The turning point is at (2/3, -5/9), so we plot this point on the graph as well.
The given function is 7(x) = 3x^2 - 4x + 1.To find the y-intercept of the given function, we must put x = 0 in the given function. Therefore,7(0) = 3(0)^2 - 4(0) + 1 ⇒ y = 1
So, the y-intercept is (0, 1).To find the x-intercepts of the given function, we must put y = 0 in the given function. Therefore,7(x) = 3x^2 - 4x + 1 ⇒ 3x^2 - 4x + 1 = 0
Using the quadratic formula, we get:$$x = \frac{4 \pm \sqrt{{(-4)}^2 - 4 \times 3 \times 1}}{2 \times 3} = \frac{4 \pm \sqrt{16 - 12}}{6} = \frac{4 \pm 2}{6}$$x = 1 or x = 1/3.So, the x-intercepts are (1, 0) and (1/3, 0).
Now, we can calculate the turning point by using the formula :$$x = \frac{-b}{2a}$$where a and b are the coefficients of the x^2 and x terms, respectively. Here, a = 3 and b = -4.
Therefore,$$x = \frac{-(-4)}{2 \times 3} = \frac{2}{3}$$Now, to find the corresponding y-coordinate of the turning point, we can substitute x = 2/3 in the given function, so:7(x) = 3x^2 - 4x + 1⇒ 7(2/3) = 3(2/3)^2 - 4(2/3) + 1⇒ y = -5/9So, the turning point is at (2/3, -5/9).
Now, we can sketch the graph using the information we have found:
The y-intercept is at (0, 1), so we plot this point on the y-axis. The x-intercepts are at (1, 0) and (1/3, 0), so we plot these points on the x-axis. The turning point is at (2/3, -5/9), so we plot this point on the graph as well.
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The four members of a singing quartet are buying new outfits. The shirts are $21, the pants are $26, the hats are $6 and the canes
are $13. What is the total cost of the new outfits for all the members?
O $264
O $284
O $244
O $224
The total cost of the new outfits for all the members is $264. So, the correct answer is option A.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, the shirts are $21, the pants are $26, the hats are $6 and the canes are $13.
Here, the cost of outfits for a person is
(21+26+6+13)=66
The cost of outfits for the four members is
66×4=$264
Therefore, option A is the correct answer.
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Nolan is a running back on his football team. He gained 13 yards on his first carry. He lost 12 yards on his second carry and he gained 20 yards on his third carry. How many total yards did Nolan carry the ball? Need help NEOW
Answer:
21
Step-by-step explanation:
13-12=1+20=21
hope this helps!!