Answer:
181 grams per serving
Step-by-step explanation:
352 + 526 + 208 = 1,086
1,086 / 6 = 181 grams
Diego and Owen are showing two graphs. Diego claims out graph one is a function. Owen claims that craft use a function which statement and justification about to go to Owens claims is correct.
A.There are both correct because each graph contains points such as that each input is matched to exactly one input.
B. neither Diego nor Owen is correct because in order to be a function, the graph must have a constant rate of change.
C. only Diego is correct, because every X value is matched to exactly when Y value.
D. Only Owen is correct because every Y value is matched to exactly one x- value
Answer: C
Step-by-step explanation:
To firgure out if a graph is a function, do the vertical line test. If the line ahs more than 1 intersection anywhere on the graph, it is not a function.
Please help I need this please help please just me help
Answer:
It would take 4 minutes.
Step-by-step explanation:
Step 1: divide 63 by 3 to get how many hotdogs the champion can eat in a minute which equals 21
Step 2: Divide 84 by 21 to get 4 minutes
3 yards of ribbon can be purchased for $10. How many yards can $5 purchase.
Answer:
1.5 yards
Step-by-step explanation:
5 is half of 10
half of 3 is 1.5
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Given the equation y = 3(2)x
Regarding the exponential function y = 3(2)^x, we have that:
We know that the graph has a y-intercept at (0,3), because the a-value is of 3.We know that the graph models exponential growth, because the b-value is of 2.The numeric value of the function at x = 3 is given as follows: 24.What is the exponential function?An exponential function is defined as follows:
y = ab^(x/n).
In which the parameters are defined as follows:
a is the initial value.b is the rate of change.n is the time needed for the rate of change.The function for this problem is given as follows:
y = 3(2)^x.
Hence the parameters are given as follows:
a = 3 -> y-intercept at (0,3).b = 2 > 1, hence exponential growth.At x = 3, the numeric value of the function is obtained as follows:
y = 3 x 2^3
y = 3 x 8
y = 24.
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2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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Rebecca carries a balance on her credit card each month. Today is the first day of the new. 28-day billing cycle. The current balance is x and the APR is 24%.
Rebecca is buying a friend an expensive gift that costs $1,400 that she plans to put on her credit card. This will be her only purchase this month. Sed she will be
making this purchase on the last day of the month. Part A if her finance charge will be $51 write and solve an equation to determine her current balance on her credit card show your work. Part B How much in finance charges can she save by making the purchase on the last day of the billing cycle
Part A: Rebecca's credit card balance can be calculated using the equation x = (51 - 1) 0.02 if her finance charge is $51.
Part B: By making the purchase on the final day of the billing cycle rather than the first day, Rebecca will be able to avoid paying $27 in finance charges.
How do equations work?
A mathematical statement proving the equality of values between two or more mathematical expressions is called an equation.
Equation symbols (=) are used to represent equations.
A finance charge is what?
The interest and other fees levied on credit cards are included in a finance charge.
Typically, the finance charge is based on a stated APR (annual percentage rate).
The month's billing cycle lasts for 28 days.
Balance at current starting = x.
APR = 24%, or annual percentage rate.
The monthly percentage rate (MPR) equals 2% (24% divided by 12).
The final day's purchase cost $1,400.
$51 is the total finance fee for the month.
($1,400 x 2% x 1/28) = $1 finance fee for the last-minute purchase.
$50 ($51 - $1) serves as the initial balance's finance charge.
The starting balance at this time is x = $2,500 ($50 x 2%).
Current Beginning Balance Equation: x = 51 - 1 0.02
($1,400 x 2%) Equals $28 in total loan charges for the last-minute purchase.
Finance charge savings from buying on the last day equals $27 ($28 - $1).
By buying the $1,400 gift for her friend on the last day of the billing cycle rather than the first, Rebecca can avoid paying $27 in finance charges.
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(1 point) find the area of the region outside r=5 5sinθ , but inside r=15sinθ.
The area of the region outside r=5sinθ and inside r=15sinθ is 50π square units.
The area of the region outside r=5sinθ and inside r=15sinθ, we need to evaluate the integral of the area element dA over the region of interest. The area element in polar coordinates is given by dA = r dr dθ.
The region of interest is the annular region between the two circles, which is defined by the inequalities:
5sinθ ≤ r ≤ 15sinθ
0 ≤ θ ≤ π
Thus, the area of the region is given by:
A = \(\int\int dA = \int_0^\pi \int_5sin\theta^{(15sin\theta)} r dr d\theta\)
Using the limits of integration, we can rewrite the integral as:
A = \(\int_0^\pi [1/2 (15sin\theta)^2 - 1/2 (5sin\theta)^2] d\theta\)
Simplifying the integrand, we get:
A = \(1/2 \int_0^\pi (225sin^2\theta - 25sin^2\theta) d\theta\)
A = \(1/2 \int_0^\pi 200sin^2\theta d\theta\)
Using the identity sin²θ = 1/2 - 1/2cos2θ, we get:
A =\(1/2 \int_0^\pi 100 - 100cos2\theta d\theta\)
Integrating, we get:
A = 1/2 [100θ - 50sin2θ] from 0 to π
A = 1/2 [100π - 0] - 1/2 [0 - 0]
A = 50π
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The area of the region outside the polar curve r = 5sinθ and inside the polar curve r = 15sinθ is 50π square units.
To calculate the area between two polar curves, we integrate the outer curve and subtract the integral of the inner curve over the desired interval. In this case, the curves are r = 5sinθ and r = 15sinθ, and we want to find the area from θ = 0 to θ = π.
The equation r = 5sinθ represents the inner curve, and r = 15sinθ represents the outer curve.
Using the formula for the area between two polar curves, the area A can be calculated as follows:
A = (1/2) ∫[θ1,θ2] (r_outer^2 - r_inner^2) dθ
Substituting the given equations, we have:
A = (1/2) ∫[0,π] ((15sinθ)^2 - (5sinθ)^2) dθ
Simplifying the equation further:
A = (1/2) ∫[0,π] (225sin^2θ - 25sin^2θ) dθ
A = (1/2) ∫[0,π] 200sin^2θ dθ
Integrating this equation over the given interval, we get:
A = (1/2) * 200 * ∫[0,π] sin^2θ dθ
Using the identity ∫ sin^2θ dθ = (1/2) * (θ - sinθcosθ), we have:
A = (1/2) * 200 * [(π - sinπcosπ) - (0 - sin0cos0)]
A = (1/2) * 200 * [(π - 0) - (0 - 0)]
A = (1/2) * 200 * π
A = 100π
Finally, we subtract the area enclosed by the inner curve r = 5sinθ to get the area between the curves:
A = 100π - (1/2) * 5^2 * π
A = 100π - 25π
A = 75π
Therefore, the area of the region outside r = 5sinθ but inside r = 15sinθ is 50π square units.
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Find the measure of Angle b - ONLY TYPE THE NUMBER (if you write the number with anything else, it will be counted incorrect by the system) *
Answer:
47 degrees
Step-by-step explanation:
i hope this helps
Which sets do the square root of 7 belong to
A.) integers and irrational numbers
B.) irrational and real numbers
C.) real and rational numbers
D.) rational and whole numbers
The square root of 7 belongs to the set of irrational numbers and the set of real numbers. Option B is correct.
What is a rational number?In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.
The square root of 7 is an irrational number because it cannot be expressed as a finite decimal or a fraction. Irrational numbers are a subset of real numbers, which is a set that includes all the real numbers, including both rational and irrational numbers.
Option B) "irrational and real numbers" is the correct answer.
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make a the subject of the relation S(a+b) =t
Answer:
a = \(\frac{t-sb}{s}\)
Step-by-step explanation:
s(a + b) = t Distribute the s
sa + sb = t Subtract sb from both sides
sa + sb - sb = t - sb Simplify
sa = t - sb Divide both sides by s
a = \(\frac{t-sb}{s}\)
after how many years will Rs 21000 give Rs 5040 as interest at 6% pa simple interest
Answer:
within 4 years it will give the required interest
The graph shows a proportional relationship between the cost of carpet cleaning (y-axis) and the area of the carpet (x-axis).
The proportionality constant (y to x) is .
pls help ^^
10/3 (i think??)
if im wrong please correct me
Answer:
I hope this helps. Let me know if am right
Step-by-step explanation:
nolan has too for 26 bedding plants in his garden. he can get pansies for $1.99 each, marigolds for $1.39 each, and zinnias for $0.74 each. he plans to buy 10 of one type and 8 each of the other two types of plants.
a) what is the minimum (in $) edward will have to spend?
b) what is the maximum (in $) edward could spend
Using proportions, it is found that:
a) The minimum Edward will have to spend is of $34.44.
b) The maximum Edward will have to spend is of $36.94.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Since a zinnia is the least expensive plant, for the minimum, he buys 10 zinnias and 8 of the other 2, hence, considering the price of each plant, the minimum amount spent is given by:
Min = 10 x 0.74 + 8 x (1.99 + 1.39) = $34.44.
For the maximum, we buy 10 pansies, hence:
Max = 10 x 1.99 + 8 x (0.74 + 1.39) = $36.94.
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shorten
\(\frac{3}{\sqrt{10} } + \sqrt{40}\)
Answer:
\(\frac{23\sqrt{10} }{10}\)
Step-by-step explanation:
\(\frac{3}{\sqrt10} }+\sqrt{40} \\\frac{3*\sqrt{10} }{\sqrt{10} *\sqrt{10} } +\sqrt{40} \\\frac{3\sqrt{10} }{\sqrt{10*10} } +\sqrt{40} \\\frac{3\sqrt{10} }{10} +2\sqrt{10} \\\frac{3\sqrt{10} }{10}+\frac{2\sqrt{10} }{1} \frac{*10}{*10} \\\frac{3\sqrt{10} }{10}+\frac{20\sqrt{10} }{10} \\\frac{3\sqrt{10}+20\sqrt{10} }{10}\\\frac{23\sqrt{10} }{10}\)
Hope this helps you.
Let me know if you have any other questions :-)
Find the area of an isosceles triangle with a vertex angle of 22 degrees and a leg length of 5. Round to the nearest tenth.
The area of the Triangle given in the question is 4.7
Area of Triangle = 1/2(base × height )
Using the vertex , we can obtain the height of the triangle thus:
sin(22 degrees) = h/5height = 1.873
Inserting the parameters into the Area formula :
height = 1.873
base = 5
Area of Triangle = 1/2 × 5 × 1.873
Area of Triangle= 4.68
Therefore, the area of the triangle is 4.7
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(-4)= ? a. -4 B. 4 C.0 d. none above
What do i put for the bottom portion I’m confused plz help
Answer:
180°
Step-by-step explanation:
In all triangles, the measure of its three angles always adds up to 180. Therefore, the m∠UWV is 180°.
:Done
Which is the last sentence of the proof? because f + e = 1, a2 + b2 = c2. Because f + e = c, a2 + b2 = c2. Because a2 + b2 = c2, f + e = c. Because a2 + b2 = c2, f + e = 1.
The latest sentence of proof by using the triangle congruence method we can conclude that f+e=c, \(a^{2} + b^{2} = c^{2}\).
Given that ΔABC and ΔCBD are right triangles
Therefore, one angle of both triangle is of 90°
So, ∠B is same in both triangles. Hence, by suing the Angle-Angle theorem rule we can conclude that both ΔABC and ΔCBD are similar.
Consequently, ∠A is same in both triangles. Hence, by suing the Angle-Angle theorem rule we can conclude that both ΔABC and ΔCBD are similar.
Similarly, When two triangles are similar then their corresponding angles are equal and their corresponding sides are also equal.
Therefore , the two proportions can be rewritten as
a² = cf ( equation 1 )
b² = ce ( equation 2 )
By adding b² on both side of equation 1 then we can write equation 1 as
\(a^{2} + b^{2} = b^{2}+cf\)
\(a^{2} + b^{2} = ce+cf\)
Because b² and ce are equal and substitute on the right side of equation 1
Using the converse of distributive property in above equation then we get a new equation. That is,
\(a^{2} +b^{2} = c(f+e)\)
Because distributive property is a(b+c)=a(b+ac)
a² + b² = c²
Because e + f = c²
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ASAP i have three other math questions and i give 100 points for each question
Polygon JKLM is drawn with vertices J(−4, −4), K(−4, −6), L(−1, −6), M (−1, −4). Determine the image coordinates of L′ if the preimage is reflected across y = −2.
L′(−3, 6)
L′(−1, 6)
L′(−1, 2)
L′(1, 2)
Answer: Option (C): L′(−1, 2)
Step-by-step explanation:
To reflect the preimage over y = -2, we can use the formula for reflecting a point (x, y) over a horizontal line y = b:
(x, y') = (x, 2b - y)
In this case, the horizontal line is y = -2, so b = -2.
So we can find the image coordinate of L' as follows:
L' = (-1, 2(-2) - (-6)) = (-1, 4)
Therefore, the image coordinate of L' after reflecting the preimage over y = -2 is L'(-1, 4). So the answer is option (c): L′(−1, 2).
bobby takes 66 candies from a jar and mike takes the remaining candys. if bobby gives 24 candies to mike the number of candies mike has would increase by 60% how many candnies must bobby give to mike so that they will have the same number of candies
Answer:
13 candies
Step-by-step explanation:
See attached image.
Find the exact length of the curve.x = et − 9t, y = 12et/2, 0 ≤ t ≤ 3
To find the exact length of the curve given by x = et − 9t, y = 12et/2, 0 ≤ t ≤ 3, we can use the arc length formula:
L = ∫(a to b) √[dx/dt]^2 + [dy/dt]^2 dt
Substituting the given values, we get:
L = ∫(0 to 3) √[e^t - 9]^2 + [6e^(t/2)]^2 dt
Simplifying the expression under the square root, we get:
L = ∫(0 to 3) √(e^(2t) - 18e^t + 81 + 36e^t) dt
L = ∫(0 to 3) √(e^(2t) + 18e^t + 81) dt
L = ∫(0 to 3) (e^t + 9) dt
L = [e^t + 9t] from 0 to 3
L = [e^3 + 9(3)] - [e^0 + 9(0)]
L = e^3 + 27 - 10.99
L ≈ 25.5
Therefore, the exact length of the curve is approximately 25.5 units.
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#11 What is the absolute
value of -19?
Madison is thinking of a number.She states that the sum of her number , n,and 2/7,is equal to 3/4. write an equation that represents the situation
Answer:
Step-by-step explanation:
If it has really helped u plz don't forget to thank me plz...
PLEASE HELP! I WILL GIVE YOU BRAINLIEST!
Answer:
sry, i am doing this for points
Consider the function represented by the table. For which x is f(x)=–3? –7 –4 4 5.
In the table, which represents the function, when the value of f(x) is -3 then the value of the x is -7
How to read the data from the table?Table is a way to represent the data of the two or more variable.
To read the data from the table look for the value of one variable, and get the resultant value of other variable from the corresponding block.
Table is a way to represent the data of the two or more variable. The linear or quadratic function, can be model with the data table.
Given information-
The given function in the problem is,
\(f(x)=-3\)
In the given two way table the values of the f(x) given for the x.
The table is given as,
x f(x)
-7 -3
-3 -5
2 -4
4 -8
In the table, from the first row it is seen that, when the value of f(x) is -3 then the value of the x is -7 as,
\(f(-3)=-7\)
Thus the value for which x is f(x) equal to –3 is -7.
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Answer: -7 (edge)
Step-by-step explanation:
If a metallic sphere having volume 45m cubic cm is melted to form a cylinder of height 5 cm, then find the adius of the cylinder.
Answer:
The radius is 3 cm
Step-by-step explanation:
\(45 \pi =\pi \: r^{2} \times 5\)
\(45 \times \frac{22}{7} = \frac{22}{7} \times r^{2} \times 5\)
\( \frac{990}{7} =\frac{110}{5} \times r^{2} \)
\(141.43 = 22 \times {r}^{2} \)
\(22 {r}^{2} = 141.43\)
\( {r}^{2} = 6.43\)
\(r = \sqrt{6.43} \)
\(r = 2.54\)
\(r = 3\)
Answer:
3 cm
Step-by-step explanation:
V = 45π cm³
For a cylinder:
V = πr²h
πr²(5 cm) = 45π cm³
r² = 9 cm²
r = 3 cm
A survey among freshmen at a certain university received that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 7. Round your answers to nearest hundredth. (e.g. 0.345 would be entered as 0.35) (a) Find the 98th percentile of the number of hours studying.
The 98th percentile of the number of hours spent studying the week before final exams is approximately 39.35 hours.
The 98th percentile of the number of hours spent studying the week before final exams, assuming a normal distribution with mean 25 and standard deviation 7, can be calculated using the standard normal distribution table.
To find the z-score corresponding to the 98th percentile, we use the formula:
z = (x - μ) / σ
where x is the value at the 98th percentile, μ is the population mean, and σ is the population standard deviation.
Using a calculator, we find that the z-score corresponding to the 98th percentile is approximately 2.05.
To find the value of x at the 98th percentile, we rearrange the formula as:
x = μ + zσ
Substituting the given values, we get:
x = 25 + 2.05 × 7 ≈ 39.35
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6(3 – 5w) = 5(4 – 2w) - 20w
Answer:
There are no solutions
Step-by-step explanation:
6(3−5w)=5(4−2w)−20w
6(3−5w)=5(4−2w)−20w
(6)(3)+(6)(−5w)=(5)(4)+(5)(−2w)+−20w
18+−30w=20+−10w+−20w
−30w+18=(−10w+−20w)+(20)
−30w+18=−30w+20
−30w+18=−30w+20
−30w+18+30w=−30w+20+30w
18=20
18−18=20−18
0=2
find x if, 5x+2x=2-1
Answer:
x = 1/7
Step-by-step explanation:
add the two numbers with the x's and subtract 1 from 2. You'll get 7x = 1. Divide 7 from both sides to get x by itself.
Answer:
Exact Form: x=1/7
decimal form: 0.142857
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps you better understand! Also, if you want to double check your answers try M-a-t-h-w-a-y. They won't let me write the exact link.
Rhett made 250 washing cars with his mobile car was company he charges 75.00 per car wash and received 35.00 in tips write an equation to represent this situation
The equation representing the situation is: Total Earnings = (Number of Car Washes) × (Charge per Car Wash) + (Tips)
To represent the situation where Rhett made 250 car washes with his mobile car wash company, charging $75.00 per car wash and receiving $35.00 in tips, we can use an equation. The equation captures the total earnings and takes into account the number of car washes, the charge per car wash, and the tips received.
The first part of the equation, (Number of Car Washes) × (Charge per Car Wash), calculates the earnings from the car washes themselves. In this case, Rhett made 250 car washes and charged $75.00 per car wash, so the expression would be 250 × $75.00.
The second part of the equation, (Tips), accounts for the additional income received in the form of tips. In this case, Rhett received $35.00 in tips.
By combining these two components, we get the equation: Total Earnings = (250 × $75.00) + $35.00, which represents the total earnings made by Rhett through his mobile car wash business.
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