add parentheses to make true.

Answer:

5 bags

Step-by-step explanation:

Given

\(Granola\ Bars = 25\)

\(Popcorn\ Balls = 35\)

Required

Determine the greatest number of bags

This question illustrates greatest common factor (GCF).

The number of bags will be solved by getting the GCF of 25 and 35.

This is shown below:

\(25 = 1 * 5 * 5\)

\(35 = 1 * 5 * 7\)

\(GCF = 1 * 5\)

\(GCF = 5\)

Hence, Carlos will need 5 bags

Step-by-step explanation:

A playing card is in the form of a rectangle whose perimeter is equal to 28 cm and area is 45 cm².

If l and b are length and breadth of the rectangle.

Area,

\(A=lb\)

\(45=lb\\\\l=\dfrac{45}{b}\ .....(1)\)

Perimeter,

\(P=2(l+b)\\\\28=2(l+b)\\\\14=(l+b)\ ....(2)\)

Put the value of l from equation (1) to equation (2). So,

\(14=\dfrac{45}{b}+b\\\\14=\dfrac{45+b^2}{b}\\\\14b=45+b^2\\\\b^2-14b+45=0\\\\b^2-9b-5b+45=0\\\\b(b-9)-5(b-9)=0\\\\b=5\ cm, 9\ cm\)

Put the value of b in equation (1),

If b = 5 cm

\(l=\dfrac{45}{5}=9\ cm\)

If b = 9 cm

\(l=\dfrac{45}{9}=5\ cm\)

So, the dimensions of the playing card is 9 cm by 5 cm.

Answer:

B) 3b. 10b

Step-by-step explanation:

B) 3b. 10b = (3x10)(bxb) = 30b²

an=9432+9432*0.075(n-1)

n>1

second problem

9432+9432*0.075(n-1)

plug in 15

9432+9432*0.075(15-1)

multiplication

9432+9903.6

add

19335.6

Answer:

F(t)=6t+15t^2−16/3 t^3 + C

Step-by-step explanation:

hope this helps

Answer:

Length of MN = 48 units

Step-by-step explanation:

AB is the diameter of the larger circle which is perpendicular to both the chords PQ (chord of the smaller circle) and MN(chord of the larger circle).

Theorem says,

"Radius or a diameter of a circle which is perpendicular to the chord divides the chord in two equal parts."

Therefore, MO ≅ ON

m(MO) = m(ON)

7x - 4 = 6x

7x - 6x = 4

x = 4

m(MN) = m(MO) + m(ON)

           = (7x - 4) + (6x)

           = 13x - 4

           = (13 × 4) - 4

           = 52 - 4

           = 48

Length of chord MN will be 48 units.

In statistics the sampling method is collecting data based on sample of people who represent a population, whereas the census method involves studying each and every member of the population.

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.

The differences between census and sampling method is -

The investigator gathers data using the census method, which asks questions about every component of the population.

The investigator gathers data using the sampling method by selecting a sample of the objects that represent the entire population.

The Census Method of Collecting Data is appropriate when the area under inquiry is rather small. The sampling method is preferred when the investigation region is large.

The Census Method requires more time to gather data. The sampling method requires less time to gather data.

Generally speaking, the Census Method is more accurate than the Sampling Method. This accuracy can be attributed to the Census Method's inclusion of a study of every component of the population. The sampling approach has a lower level of accuracy because it examines a smaller sample of the population. However, since there are fewer elements in the sampling method, errors are simple to find and eliminate. Consequently, if that's the case, the sampling method gives more accuracy than census method.

Therefore, the differences for census and sampling method are pointed out.

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What is the difference between census method and sampling method in statistics?

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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Hi! I'm happy to help!

To solve this, we have to use the order of operations, or PEMDAS. (parenthesis, exponents, multiplication or division, and addition or subtraction)

We will start out with parenthesis. Since there are no expressions inside of the parenthesis, we can remove them.

But, before we do that, we have a positive negative, the negative form of positive is negative, so we remove the plus sign as well as the parenthesis.

1.7+(-5)+(3.27)=

1.7-5+3.27=

Now since we have no exponents, multiplication, or division, we move on to addition or subtraction. We have some of both, so we move from left to right.

Our first equation is 1.7-5, so we do that first.

1.7-5+3.27=

-3.3+3.27=

Now, we only have one addition problem left, -3.3+3.27, so we'll do that.

-3.3+3.27=

-0.03

After this equation is fully simplified, we are at -0.03!

I hope this was helpful, keep learning! :D

As a result, the solid's volume in the first octant, which is restricted by the paraboloid z = 4 + 2 x + 2 y, is 9.

We must determine the limits of integration for x, y, and z in order to determine the volume of the solid in the first octant bounded by the paraboloid z = 4 + 2x + 2y + 2 and the plane z = 10.

At z = 10, where the paraboloid and plane overlap, we put the two equations equal and find z:

4 + 2x^2 + 2y^2 = 10

2x^2 + 2y^2 = 6

x^2 + y^2 = 3

This is the equation for a circle in the xy plane with a radius of 3, centred at the origin. We just need to take into account the area of the circle where x and y are both positive as we are only interested in the first octant.

Integrating over the circle in the xy-plane, we may determine the limits of integration for x and y:

∫∫[x^2 + y^2 ≤ 3] dx dy

Switching to polar coordinates, we have:

∫[0,π/2]∫[0,√3] r dr dθ

Integrating with respect to r first gives:

∫[0,π/2] [(1/2)(√3)^2] dθ

= (3/2)π

So the volume of the solid is:

V = ∫∫[4 + 2x^2 + 2y^2 ≤ 10] dV

= (3/2)π(10-4)

= 9π

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Step-by-step explanation:

step 1. LCD of 1/(5n) and 1/3 is 15n.

The length of the side of the square playboard is 16 inches if the area of a square game board is 256 square inches. Thus, option b is correct.

Area of board = 256 square inches

It is given that the shape of the game board is square.

The area of the square = \(a^{2}\)

The equation for the area of the square and the side of the square is written as:

\(a^{2}\) = 256

squaring on both sides:

sqrt(256) = sqrt(\(a^{2}\))

canceling sqrt on both sides:

a = 16 inches

Therefore, we can conclude that the length of one side of the square game board is 16 inches.

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Answer:

D: 610 ½cm³

Step-by-step explanation:

16 ½= 16.5

9 ¼= 9.25

V= L x W x H

V=16.5 x 4 x 9.25

16.5x4=66

66x9.25=610.5cm³

610.5cm³ = 610 ½cm³

there is your answer

THAT IS THE CORRECT ANSWER....

A QUESTION

ARE U HIGH SCHOOL?

You can weigh 4 marbles against each other first, then if none are heavier, weigh 3 of the remaining marbles against each other, and if none of those are heavier, weigh the last two marbles against each other to find the heavier one.

An object's power of attraction toward the Earth is measured by its weight. It is the result of multiplying the object's mass by the acceleration caused by gravity.

A scale or balance is a tool used to determine mass or weight. These are also referred to as weight scales, mass scales, weight balances, and mass balances.

To weigh the 12 marbles and find out the heavier one,

This solution will always work because at each step, you are halving the number of marbles you need to check, so you will always be able to find the heavier marble in 3 weighings or less.

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Answer:

\(44,826.72\ \text{pounds}\)

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

\(V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3\)

If water weighs 62.4 pounds per cubic foot, it means

\(V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}\)

So, the total weight of the water is \(44,826.72\ \text{pounds}\).

Answer:

$10.71

Step-by-step explanation:

7.14 / 42 =  0.17 / per LB

0.17 * 63 =  $10.71

Answer:

10.71 dollars

one pound= 0.17

Step-by-step explanation:

Answer:

Greater

Step-by-step explanation:

just because

Answer:

greater

Step-by-step explanation:

49>7.1

Step-by-step explanation:

I am assuming we are deciding which value is greater:

1. 3/3 < 8/7

2. 4/6 < 3/3

3. 6/9 = 2/3

4. 9/9 < 3/2

5. 2/2 < 5/4

6. 1/2 = 2/4

7. 1/8 < 3/5

The type of error that explains the variability in the results between groups is "random error."Explanation:Random error is the variability between the groups' results due to the imprecision of the measuring instrument or technique.

It is caused by minor differences in the experimental conditions that are unpredictable and can not be controlled or accounted for in the experiment. Random error can lead to imprecise results that fluctuate from the main answer, which means that it is not biased towards one particular direction.The other type of error that is commonly known is "systematic error" which is characterized by consistent errors that occur in a specific direction due to the method or instrument used.

Systematic error is due to the inaccuracy of the measuring instrument or incorrect experimental design, and it can affect the accuracy of the main answer. Mistakes or human errors, on the other hand, are due to human error, such as incorrect calculations or transcriptions, and are not part of the sources of errors.

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The outcome of a simulation experiment is a probability distribution for one or more output measures.

Simulation experiments involve using computer models to imitate real-world processes and study their behavior. The output measures are the results generated by the simulation, and their probability distribution is a statistical representation of the likelihood of obtaining a particular result. This information is useful in decision-making, as it allows analysts to assess the potential impact of different scenarios and identify the most favorable outcome. To determine the probability distribution, the simulation is run multiple times with varying input values, and the resulting outputs are analyzed and plotted. The shape of the distribution indicates the degree of uncertainty associated with the outcome.

The probability distribution obtained from a simulation experiment provides valuable information about the likelihood of different outcomes and helps decision-makers make informed choices.

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Answer:

The shortest path to take is \(20\sqrt{3}\ cm\) or \(34.64\ cm\)

Step-by-step explanation:

This question requires an attachment (See attachment 1 for question)

Given

Cube Dimension: 20cm * 20cm

Required

Shortest path from A to B

For proper explanation, I'll support my answer with an additional attachment (See attachment 2)

The shortest path from A to B is Line labeled 2

But first, the length of line labeled 1 has to be calculated;

This is done as follows;

Since, the cube is 20 cm by 20 cm

\(Line1^2 = 20^2 + 20^2\) (Pythagoras Theorem)

\(Line1^2 = 2(20^2)\)

Take square root of both sides

\(Line1 = \sqrt{2(20)^2}\)

Split square root

\(Line1 = \sqrt{2} * \sqrt{20^2}\)

\(Line1 = \sqrt{2} * 20\)

\(Line1 = 20\sqrt{20}\)

Next is to calculate the length of Line labeled 2

\(Line2^2 = Line1^2 + 20^2\) (Pythagoras Theorem)

Substitute \(Line1 = 20\sqrt{20}\)

\(Line2^2 = (20\sqrt{2})^2 + 20^2\)

Expand the expression

\(Line2^2 = (20\sqrt{2})*(20\sqrt{2}) + 20 * 20\)

\(Line2^2 = 400*2 + 400\)

Factorize

\(Line2^2 = 400(2+1)\)

\(Line2^2 = 400(3)\)

Take square root of both sides

\(Line2 = \sqrt{400(3)}\)

Split square root

\(Line2 = \sqrt{400} * \sqrt{3}\)

\(Line2 = 20 * \sqrt{3}\)

\(Line2 = 20 \sqrt{3}\)

The answer can be left in this form of solve further as follows;

\(Line2 = 20 * 1.73205080757\)

\(Line2 = 34.6410161514\)

\(Line2 = 34.64 cm\) (Approximated)

Hence, the shortest path to take is \(20\sqrt{3}\ cm\) or \(34.64\ cm\)

Answer:

44.72 cm

Step-by-step explanation:

1. This was marked correct by RSM

2. Unfold the cube, so that points A and B and on points diagonal from each other on a 40 cm x 20 cm rectangle. Now draw a line connecting points A to B. That is the hypotenuse of both triangles. Now according to the pythagorean theorem, the hypotenuse is √2000, which is equal to 5√20.

3. The answer is 44.72 cm

The solution to the inequality ||8-3p|| ≥ 2 is:p ≤ 2 or p ≥ 10/3. To solve the inequality ||8-3p|| ≥ 2, you'll first want to isolate the absolute value expression.

Once you've done that, you'll be left with two inequalities to solve. How to solve the inequality ||8-3p|| ≥ 2?The first inequality is 8-3p ≥ 2.

To solve for p, you can start by subtracting 8 from both sides to get:-3p ≥ -6.

Then divide both sides by -3 to get:p ≤ 2. The second inequality is -(8-3p) ≥ 2. To solve for p, you can start by distributing the negative sign to get:-8 + 3p ≥ 2.

Then add 8 to both sides to get:3p ≥ 10. Finally, divide both sides by 3 to get:p ≥ 10/3. So the solution to the inequality ||8-3p|| ≥ 2 is:p ≤ 2 or p ≥ 10/3.

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Answer:

We know that the  shorter piece = x and the longer piece is 4x

longer piece = 4x

---------------------------  

x + 4x = 48.5

5x = 48.5  

x = 48.5/5

x = 9.7 cm

9.7 cm - Is the shortest piece length.

The longer piece = 4x = 4 x 9.7 = 38.8 cm

----------------------------------

Pls give me the Brainliest if u can!

Answer:

the two pieces are 9.7 cm and 38.8 cm in length

Step-by-step explanation:

let 'x' represent the length of the smaller piece, then '4x' represents the length of the longer piece

48.5 = x + 4x

x = 48.5 / 5 = 9.7

9.7 * 4. = 38.8

Answer:

can you help me in something please?

Using an exponential function, it is found that the video got 8,314 total views over the course of the first 12 days.

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 + r)^t\)

In which:

On the first day it was posted online, a music video got 250 views, and the number increased by 16% a day, hence the A(0) = 250, r = 0.16, and the equation is given by:

\(A(t) = 250(1.16)^t\)

The total amount over the first 12 days is given by:

\(T = \int_{0}^{12} A(t) dt\)

\(T = \int_{0}^{12} 250(1.16)^t dt\)

\(T = 250\frac{(1.16)^t}{\ln{1.16}}|_{t = 0}^{t = 12}\)

Applying the Fundamental Theorem of Calculus:

\(T = 250\frac{(1.16)^{12}}{\ln{1.16}} - 250\frac{(1.16)^0}{\ln{1.16}}\)

T = 8314.

The video got 8,314 total views over the course of the first 12 days.

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A. Substitute x = 3 into the equation of the line of best fit.

B. Estimate of the inventory on day 3 is: 3 (in hundreds).

The equation of the line of best fit models the relationship between two variables, which can be used for making estimates or predictions.

The equation of the line of best fit given is: f(x) = -1/3x + 4, where:

A. To estimate the inventory after day 3, substitute x = 3 into the equation of the line of best fit.

B. Plug in x = 3 into f(x) = -1/3x + 4

f(3) = -1/3(3) + 4

f(3) = 3

Estimate of the inventory on day 3 is: 3 (in hundreds).

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A. The 99% confidence interval for the proportion of smartphones that break before the warranty expires is (0.0371, 0.0765).

B. About 99% of the confidence intervals for different samples of 1585 smartphones will contain the true population proportion, and about 1% will not.

A. To construct a 99% confidence interval for the proportion of smart phones that break before the warranty expires, we can use the following formula:

confidence interval = sample proportion ± margin of error

where the sample proportion is the number of smart phones that broke before the warranty expired divided by the total number of smart phones sampled, and the margin of error takes into account the variability of the sample proportion and the desired level of confidence.

The sample proportion is:

p = 90/1585 = 0.0568

The margin of error can be calculated using the formula:

margin of error = z*√(p(1-p)/n)

where z is the z-score that corresponds to the desired level of confidence (99% confidence corresponds to a z-score of 2.576), p is the sample proportion, and n is the sample size.

Plugging in the values, we get:

margin of error = 2.576√(0.0568(1-0.0568)/1585) ≈ 0.0197

Therefore, the 99% confidence interval for the proportion of smart phones that break before the warranty expires is:

0.0568 ± 0.0197, or (0.0371, 0.0765)

B. If many groups of 1585 randomly selected smart phones are selected, then about 99% of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires, and about 1% will not contain the true population proportion.

This is because a 99% confidence level means that 99% of the intervals constructed from different samples will contain the true population proportion, while 1% of the intervals will not.

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Answer:$240

Step-by-step explanation:

Therefore, Ben can do 390 loads of laundry with one box of laundry detergent.

Ben bought a box of laundry detergent that contains 195 scoops. Each load of laundry uses 1/2 scoop.

To determine how many loads of laundry Ben can do with one box of detergent, we divide the total number of scoops by the scoops used per load:

Number of loads = Total scoops / Scoops per load

Number of loads = 195 scoops / (1/2 scoop per load)

Number of loads = 195 scoops * (2/1) = 390 loads

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