The ratio Illustrated shows that the number of vanilla marshmallow is 121.
What is a ratio?A ratio shows how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. It should be noted tjat.A/B will be the formula if one is comparing one data point (A) to another data point (B).
Let the vanilla marshmallow be represented be x.
Since the ratio for chocolate marshmallows to vanilla mmarshmallows is 5:11, the vanilla will be:
= 11 / (5 + 11) × 176
= 11/16 × 176
= 11 × 11
= 121
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Complete question
The ratio for chocolate marshmallows to vanilla mmarshmallows is 5:11. There are 176 chocolate marshmallows in the bag, how many marshmallows are vanilla?
help me guys! 50 points!
Answer:
The volume of the irregular figure would be 144 \(cm^3\).
Step-by-step explanation:
If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is \(l*w*h\), where \(l\), \(w\), and \(h\), represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 \(cm^3\), and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 \(cm^3\). So the volume of the entire irregular figure would be 108 + 36 = 144 \(cm^3\).
Answer:
144 cm^3
Step-by-step explanation:
Large rectangle:
12 × 3 × 3 = 36 × 3 = 108
Small rectangle:
7 - 3 = 4
4 × 3 × 3 = 12 × 3 = 36
Both:
36 + 108 = 144
Hope this helped.
factorise 3x²+9x First person to answer gets brainliest!!
Answer
\( \boxed{\mathsf{3x(x + 3)}}\)
Step by step explanation
\( \mathsf{3 {x}^{2} + 9x}\)
Take 3x as common
⇒\( \mathsf{3x(x + 3)}\)
Hope I helped!
Best regards!
Answer:
Step-by-step explanation:
Factor 3x out of 3x^2=3x(x)-9x=Factor 3x out of 9x=3x(x)+3x(-3)=factor 3x out of 3x(x)+3x(-3). =3x(x-3).
A.) 220 sq units
B.) 550 sq units
C.)675 sq units
Answer:
SA = 675 units²
Step-by-step explanation:
SA = (8)1/2bh + w²
= 4(7.5)(15) + 15²
= 450 + 225 = 675
Rewrite the following equation in slope-intercept form. y - 10 = 4(x - 3)
Answer:
y=4x-2
Step-by-step explanation:
Calculate the expected time for the following activities. Please
provide formulas and key for all variables.
The expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Therefore, the expected time for these activities is 2.8 hours.
To calculate the expected time for activities, we can use the formula for expected value.
The expected value is calculated by multiplying the time for each activity by its probability of occurrence, and then summing up these values. The formula for expected value is: Expected Value = (Time1 * Probability1) + (Time2 * Probability2) + ... + (TimeN * ProbabilityN) Here's a step-by-step example:
1. List all the activities and their corresponding times and probabilities.
2. Multiply the time for each activity by its probability.
3. Sum up the values obtained in step 2.
For example, let's say we have two activities: Activity 1: Time = 2 hours, Probability = 0.6 Activity 2: Time = 4 hours, Probability = 0.4 Using the formula, we calculate the expected time as follows: Expected Time = (2 hours * 0.6) + (4 hours * 0.4) = 1.2 hours + 1.6 hours = 2.8 hours
Therefore, the expected time for these activities is 2.8 hours.
Here full question is not provided but the full answer given above.
Remember, this is just one example, and you can use the same formula for any number of activities with their respective times and probabilities. In summary, to calculate the expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Then, sum up these values to get the expected time.
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A hot liquid starts at 93 degrees F. Its temperature decreases at a
constant rate of 9% per minute after it has been placed in a refrigerator.
To the nearest degree, what is the temperature of the liquid after cooling
for 7 minutes? *
Answer:
34.41º
Step-by-step explanation:
0.93 times 9=8.37 degrees per minute
7 times 8.37=58.59
93-58.59=34.41
Please help me with this Geometry Question
The value of x from the given figure is 12 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔADC and ΔABC,
∠C=∠C (Reflex property)
AC=AC (Reflex property)
∠BAC=∠CDA=90°
By AA similarity, ΔADC ~ ΔABC
So, AC/BC = DC/AC
x/36 = 4/x
x²=36×4
x²=144
x=12 units
Therefore, the value of x from the given figure is 12 units.
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There are two twins. One twin wants to explore the planet near Proxima Centauri and leaves on a spaceship traveling at 90% of the speed of light, while the other twin stays home on Earth. How much does the twin on Earth age while the other twin travels to Proxima Centauri?
Answer:
4.7 years
Step-by-step explanation:
Distance of planet from Earth = 1.3 parsec
We know that 1 parsec = 3.26 light years
And a light year is the distance traveled by light in time period of 1 year.
So, Distance of planet from Earth = 1.3 \(\times\) 3.26 = 4.24 light years
Given that, the person travels at a speed equal to 90% of the light speed.
To travel to the planet from Earth, Light takes 4.24 years.
To travel the distance \(D\), at a speed \(s\) light takes time of 4.24 years.
To travel the distance \(D\), at a speed \(0.90s\), the person takes time:
\(\dfrac{4.24}{0.90} = \bold{4.7\ years}\)
So, the twin on Earth ages by 4.7 years.
Answer:
4.7 years
Step-by-step explanation:
What is the mean of 3, 5, 4, 3, 5, 4
Step-by-step explanation:
FX=3+5+4+3+5+4
=24
N=6
mean (x)=?
Now,
x=FX÷N
=24÷6
=4
Violet was offered a job that paid a salary of \$25,500$25,500 in its first year. The salary was set to increase by 2% per year every year. If Violet worked at the job for 29 years, what was the total amount of money earned over the 29 years, to the nearest whole number?
The total amount of money earned over the 29 years if the salary is increased by 2% every year is $ 969,805.86.
What are sequence and series?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after. A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
Violet was offered a job that paid a salary of $25,500 in its first year.
The salary was set to increase by 2% per year every year.
If Violet worked at the job for 29 years. Then the total amount of money earned over the 29 years will be
The sequence will be
\(25000, 25000 (1.02), 25000 (1.02)^2, 25000 (1.02)^3, ....., 25000 (1.02)^{28}\)
Then we have
First-term (a) = 25000
Common ratio (r) = 1.02
n = 29
Then the sum will be given as
\(\rm S_n \ = \dfrac{a(r^n - 1)}{(r-1)}\\\\\\S_{29} = \dfrac{25000(1.02^{29}-1)}{1.02-1}\\\\\\S_{29} = \dfrac{25000\times 0.7758}{0.02}\\\\\\S_{29}= \$ \ 969,805.86\)
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Answer: 969805
Step-by-step explanation:
I need help with solving for y
Answer:
y = \(-\frac{5}{3}\) x + 5
Step-by-step explanation:
Solve an equation for a variable mean to leave that variable on one side of that equation by itself.
5x + 3y = 15
5x + 3y - 5x = 15 - 5x
3y = - 5x + 15
\(\frac{3y}{3}\) = \(\frac{-5x}{3}\) + \(\frac{15}{3}\)
y = \(-\frac{5}{3}\) x + 5
___________ statistics summarize numbers and _____________ statistics determine whether the results are significant.
Descriptive statistics summarize numbers and inferential statistics determine whether the results are significant.
What is statistics?
The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.
Statistics is the study and manipulation of data, including methods for data collection, evaluation, analysis, and interpretation.Descriptive statistics and inferential statistics are the two main subfields of statistics.Different levels of statistics communication are possible, from non-numerical descriptor (nominal-level) to numerical with reference to a zero-point (ratio-level).To gather statistical data, a variety of sampling methods can be utilized, including basic random, systematic, stratified, or cluster sampling.To know more about the statistics
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estimate the area of the circle to the nearest unit.
Answer:
Step-by-step explanation: We know that ,
Area of circle =πr² and
r = radius of circle.
Now,
Diameter of circle =56 cm [given]
So, radius of circle=D/2=56/2
Radius of circle=28
Now,
Area of circle=πr²
Area of circle=22/7 ×(28)² [π=22/7]
Area of circle=22×4×28
Area of circle=2464cm²
Hence, Area of circle is 2464cm²
I hope it's help you.
Answer:
48 cm²
Step-by-step explanation:
Area of circle formula: A = πr²
= π (d/2)²
= 3.14 * (4)²
= 50.24
The area of the circle is closest to Option D, 48 cm²
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. What was the total cost before sales tax? Round your answer to the nearest cen
The total cost before the sales tax was 19.828 pounds.
For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.
We have to determine the total cost before sales tax.
As per the question, we have prices as:
cost of turkey = 3.95 per pound
cost of egg cheese = 1.3 per pound
cost of egg salad = 0.89 per pound
The total cost of turkey = 3.8 × 3.95 = 15.01 pounds
The total cost of cheese = 2.2 × 1.3 = 2.86 pounds
The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds
The total cost before sales tax = 15.01 + 1.958 +2.86
Apply the addition operation, and we get
The total cost before sales tax = 19.828 pounds
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The question seems to be incomplete the correct question would be:
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?
Someone explain please
Answer:
BC ≈ 2.598076211
Step-by-step explanation:
Given \(\frac{AB}{3} = sinC\)
That means side AC = 3
Let's use \(sinA\) to find BC
\(sinA = sin60 = \frac{BC}{AC} = \frac{BC}{3}\)
\(BC = 3sin60\)
BC ≈ 2.598076211
Let R be the region in the fourth quadrant enclosed by the x-axisand the curve Y = X^2 - 2KX, where k > 0. if the area of the region R is 36, thenthe value of k is
(A) 2
(B) 3
(C) 4
(D) 6
(E) 9
We want to find the value of k given that the area of the region R is 36. To do this, we need to find the limits of integration and set up the integral for finding the area of the region R. The answer is (B) 3.
Since R is in the fourth quadrant and is enclosed by the x-axis and the curve Y = X^2 - 2KX, we can find the limits of integration by setting Y = 0 and solving for X:
0 = X^2 - 2KX
X(X - 2K) = 0
X = 0 or X = 2K
So the limits of integration are from X = 0 to X = 2K.
Now we can set up the integral for finding the area of the region R:
∫[0,2K] (X^2 - 2KX) dX
Integrating this expression gives:
[(1/3)X^3 - KX^2] evaluated at 0 and 2K
Plugging in the limits of integration and simplifying, we get:
(8/3)K^3 - 4K^3
Simplifying this expression, we get:
(2/3)K^3 = 36
Solving for K, we get:
K^3 = 54
Taking the cube root of both sides, we get:
K = 3
Therefore, the answer is (B) 3.
To find the value of k, follow these steps:
1. Determine the x-intercepts of the curve Y = X^2 - 2KX by setting Y = 0.
0 = X^2 - 2KX
X(X - 2K) = 0
The x-intercepts are X = 0 and X = 2K.
2. As we are looking for the area in the fourth quadrant, the integral bounds are from 0 to 2K.
3. Set up the integral for the area:
Area = ∫(X^2 - 2KX) dx, from 0 to 2K
4. Evaluate the integral:
Area = (X^3/3 - KX^2) | from 0 to 2K
= [(8K^3/3 - 4K^3) - (0)]
= 8K^3/3 - 4K^3
= (4K^3/3)
5. Set the area equal to 36 and solve for k:
36 = (4K^3/3)
9 = K^3
k = 3^(1/3) ≈ 2.08
The closest value from the given options is (A) 2.
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can 1 1/8 be simplified
Answer:
No it cannot. There isn't a common value shared between the two numbers to simplify.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Thanks Plz Mark Brainliest!
I got it wiring but I don’t know what I did wrong
Answer:
because the answer is 6.601 not 6.501
Step-by-step explanation:
you must have done the work wrong
find the length of the given curve: r(t)=(5t,2sint,2cost) where −4≤t≤5
The required length of the curve with the specified limits is calculated to be 23,423 units.
The curve r(t) is given as (5 t, 2 sin t, 2 cos t) where −4 ≤ t ≤ 5.
The expression to find the arc length of a parametric vector curve, we use,
Arc length = ∫√[ (dx/dt)² + (dy/dt)² + (dz/dt)²]
The above expression is derived from the Pythagoras theorem.
Applying the formula on the above curve, we have,
dx/dt = d/dt (5t) = 5
dy/dt = d/dt (2 sin t) = 2 cos t
dz/dt = d/dt (2 cos t) = -2 sin t
Arc length = ∫√[ 5² + (2 cos t)² + (-2 sin t)²]
Arc length = ∫ √[ 25 + 4 cos² t + 4 sin² t]
⇒ 2/3 [25 + 4 cos² t + 4 sin² t]^(3/2) × (25t + sin2t/4 + t/2 + t/2 - sin 2t/4)
⇒ 2/3 [25 + 4 cos² t + 4 sin² t]^(3/2) × (25t)
⇒ 50t/3 [25 + 4 cos² t + 4 sin² t]^(3/2)
⇒ 50t/3 [25 + 4(1)]^(3/2) = 50t/3 (29)^(3/2) = 156.16 × 50t/3
⇒ 156.16 × 50t/3 (the limits are from -4 to 5)
⇒ 13,013 - (-10,410)
⇒ 23,423 units.
Thus, the length of the given curve is 23,423 units.
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If a scatterplot showed a non-linear relationship between the response and explanatory variable, what should be done
If a scatterplot shows a non-linear relationship between the response and explanatory variable, several options can be considered depending on the purpose of the analysis and the nature of the data.
Here are some possible actions:
Transform the data: One common approach is to transform the data to make the relationship linear. For example, if the relationship appears to be exponential, taking the logarithm of the response variable might make it linear. Similarly, taking the square root, cube root, or inverse of one or both variables might also help.
Use a non-linear model: Another option is to fit a non-linear model that can capture the curvature in the relationship. There are many types of non-linear models, such as quadratic, cubic, exponential, logistic, or spline models. The choice of model depends on the shape of the curve and the underlying theory or hypothesis.
Resample or subset the data: If the non-linear relationship is driven by outliers, influential points, or a subset of the data, it might be helpful to resample or subset the data to remove them. For example, trimming the extreme values, bootstrapping the data, or stratifying the data by a third variable might help.
Explore alternative variables or interactions: If the non-linear relationship is due to an unobserved or omitted variable, it might be useful to explore alternative variables or interactions that could explain the pattern. For example, if the response is sales and the explanatory variable is price, adding a competitor's price or a marketing variable might improve the fit.
Use caution in interpretation: Finally, if the non-linear relationship persists after exploring the above options, it might be necessary to acknowledge the non-linearity and use caution in interpreting the results. Non-linear relationships can be more difficult to interpret and extrapolate, and the statistical inference might be more uncertain or sensitive to assumptions.
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Find the perimeter of the trapezoid. ROUND YOUR ANSWER TO THE
NEAREST TENTH (One number past the decimal.)
Answer:
49.41
Fine the lengths of the top, bottom, and left side first. the do bottom - top and you get 6. To get the length of the right side, do left side squared + 6 squared and you get the length of the right side squared. The answer is top + bottom + left side + square root of right side squared.
Which of the following mapping diagrams does not represent a function?
Answer:
C
Step-by-step explanation:
C => 7 is mapped into both 8 and 12, and in a function, this is not allowed
3a2+4b for a=2 and b=3
PLEASE HELP (marking brainliest)
jeremy made 4 out of every 5 free throws. if jeremy attempted 35 throws, how many free throws did he make?
Answer:
28 free thows
Step-by-step explanation:
35÷5=7
4×7=28
Answer:
28
Step-by-step explanation:
4/5 throws are successful
4/5 = 80%
80% of 35 = \(\frac{4}{5}\) *35 = 28
PLS HELP!!
Cruz had d $10 bills and 4 fewer $20 bills than he has $10 bills. Enter an algebraic expression to represent how much money Cruz has in dollars. Simplify the expression, if possible.
Answer:Here's the basic equation
m(d) = 10d + 20(d - 2) (the money total is the 10 dollar bills plus the 20 dollar bills (which are two less than the 10 dollars))
Step-by-step explanation:
To simplify it, start by distributing the 20:
m(d) = 10d + 20d - 40
add like terms
m(d) = 30d - 40
Neil is buying steak for a cookout on Saturday. Steak is on sale for $9.62 per pound. If he buys 7.5 pounds of steak, how much money does he spend?
Answer:
$72.15
Step-by-step explanation:
x= pounds of steak
$\(9.62x\) = money spent on steaks
If Neil buys 7.5 pounds of steak then x =7.5
$9.62(7.5) = $72.15
Answer:
$72.15
Step-by-step explanation:
1 pound = $9.62
7.5 pounds = $9.62 × 7.5
= $72.15
if m is perpendicular to n, solve for x
x + 21 + 3x + 9 = 90
Combine like terms
4x + 30 = 90
Subtract 30 from both sides
4x = 60
Divide both sides by 4
x = 15
Answer:
x = 15
Step-by-step explanation:
You can use the opposite angles property to solve this problem. By using the property, the opposite angle of x+21 must also be x+21. So therefore, you can setup the equation x+21+3x+9=90. Simplify and you should get 4x+30=90. Subtract 30 on both sides and you get 4x=60. Divide 4 on both sides and you get x=15.
simplify
6 ÷ 3 + 32 · 4 − 2
Answer:
128 <33
Step-by-step explanation:
6 ÷ 3 + 32 • 4 - 2 = 128
▪︎▪︎▪︎▪︎▪︎▪︎
– 0.3+ – 0.8×0.5–0.1 using PEMDAS
Answer:
-0.8
Step-by-step explanation:
=0.3-0.8*0.5-0.1
= -0.3-0.4-0.1
= -0.7-0.1
= -0.8
practice multiplying monomials and binomials. what is the product of 3x(x2 4)? x2 3x 4 3x3 4 3x3 12x 3x2 12x
Therefore the solution of the given problem is product of the equation is 3\(x^{3}\) + 12x.
Define equation.The equals sign (=) must appear in an equation. You can think of an equation as having a left and a right side since there will be a mathematical expression on either side of it. Consider an equation to be a set of scales. Although you can use different amounts on either side, for it to be solved, each side must be equally balanced .An unknown will always be present in an algebraic equation. This is symbolized by a symbol, such x, y, or z.
Here,
We must calculate the product of 3x(\(x^{2}\) + 4).
In light of the query
Follow all of the instructions listed below to obtain the equation's product.
Equation; 3x(\(x^{2}\) + 4).
Then,
The product of the equation is,
=>3x(\(x^{2}\) + 4).
=>3\(x^{3}\) + 12x
Therefore the solution of the given problem is product of the equation is 3\(x^{3}\) + 12x.
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