Dakari makes 2 dozen jars of jam. The total
weight of all of the filled jars is 211.2 ounces.
When empty, each jar weighs 1.2 ounces. The
equation
can be used to calculate the weight, j, of jam in
one jar. The weight of jam in one jar is

Answer: 25 tables.

Step-by-step explanation:

5 • 10*2= 500 (10*2= 100, then 100 times 5)

2 • 10*1= 20 (10*1= 10, then times 2)

Therefore a cafeteria can seat 500 students. Each table had 20 seats.

Divide 500/20 and get 25.

Hope this helps.

Answer:

D.? confused

Step-by-step explanation:

Q: Which decimal is greater than 0.15 and less than 0.7?

 A. 0.81

 B. 0.56

 C. 0.76

 D. 0.005                                                                                                                                                  A: I think it is B. and I think it is not D.

Answer:

Step-by-step explanation:car 10 percent

Phone 1 percent

Clothes 5 percent

Charity 3.84 percent

Mac 0.4percent

Apple watch 0.2 percent

Hawaai trip 1.57 percent

Home 73 percent

The variance of the bedroom areas in the five-bedroom house is 864, and the standard deviation is approximately 29.39 square feet.


Mean: (100 + 100 + 120 + 120 + 180) / 5 = 620 / 5 = 124
Squared differences: (24^2, 24^2, 4^2, 4^2, 56^2) = (576, 576, 16, 16, 3136)
Mean of squared differences: (576 + 576 + 16 + 16 + 3136) / 5 = 4320 / 5 = 864
Variance: 864
Standard deviation: √864 ≈ 29.39


Hence, The variance of the bedroom areas in the five-bedroom house is 864, and the standard deviation is approximately 29.39 square feet.

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Answer: = 4x² - x - 3

(4x+3)(x -1 ) = 4x² + 3x - 4x - 3 = 4x² - x - 3

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

The average rate is approximately 2%

The formula for calculating the average rate of return under continuous compounding is expressed as \(A=Pe^{rt\)

Given the following parameters

\(P = \$50,000\)

A = $175,222.57

t = 20 years

Substitute the given parameters into the formula to get the rat\(175,222.57 = 5000e^{20r}\\e^{20r}=\frac{175,222.57.}{5000}\\e^{20r}= 35.155514\\lne^{2r}=ln 35.155514\\2r = 3.5597\\r = 3.5597/2\\r =1.779 \%\)

Hence the average rate is approximately 2%

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Answer:

                The slope is: m = -²/₅

               The y-intercept is:  b = -2

               The equation of the line: y = -²/₅x - 2

Step-by-step explanation:

  The equation of a line in slope intercept form: y = mx + b

The slope:   \(m=\dfrac{y_2-y_1}{x_2-x_1}\)

(-5, 0)   ⇒  x₁ = -5,  y₁ = 0

(0, -2)   ⇒  x₂ = 0,  y₂ = -2

So:

     \(m=\dfrac{-2-0}{0-(-5)}=-\dfrac25\)

Answer:

96 pizzas

Step-by-step explanation:

Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works.

We are told that;

If the number of pizzas varies directly with minutes,

P ∝ M

P = kM

Hence:

8 = 15k

k = 8/15

How many pizzas can Allan make in 3 hours?

Convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x

x = 3 × 60

x = 180 minutes

Hence,

M = 180 minutes

k = 8/15

P = kM

P = 8/15 × 180

P = 96 pizzas

Therefore, Allan can make 96 pizzas in 3 hours

Answer:

Y=4X-5

Step-by-step explanation:

The Slope is a positive 4 so you will already have the equation Y=4X and the y-intercept is the Y when X is at the origin. Since the y-intercept is negative you have to subtract from the slope instead of adding. Then you get Y=4X-5.

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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The missing angles of triangles are - 30°, 50°, 40°.

According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the internal angles of a triangle is always 180o, regardless of whether it is acute, obtuse, or right.

There are 5 triangles in the given diagram,

We will see them anti - clock wise.

All the triangles are right - angled triangle.

The measures of 1 triangle are -

90°, Let the other 2 angles be x,y

The measures of the 2nd triangle are -

Given,

60°, 90°

Using angle sum property,

The measure of third angle = 180°

= 60 + 90 + third angle = 180

third angle = 180 - 150

= 30.

The measures of 3rd triangle are -

Given,

40°, 90°

Using angle sum property,

The measure of third angle = 180°

= 40 + 90 + third angle = 180

third angle = 180 - 130

= 50.

The measures of 4th triangle are -

50°, 90°

Using angle sum property,

The measure of third angle = 180°

= 50 + 90 + third angle = 180

third angle = 180 - 140

= 40.

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while shopping for clothes, Daniel spent $26 less than 2 times what curtis spent. Daniel spent $10. write and solve an equation to find how much curtis spent. let x represent how much curtis spent​

Let

x ------> amount that Curtis spent

we have that

10=2x-26 ------> equation that represent this situation

solve for x

2x=10+26

2x=36

x=$18

therefore

Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

Answer:

Ration is an ordered pair of numbers that show a comparison between two things.

To determine which investment is better, we need to compare the effective annual yields of both options.

1. 5% Compounded Monthly:
With 5% compounded monthly, the interest is compounded 12 times a year. The formula to calculate the future value is:
FV = PV * (1 + r/n)^(n*t)
Where FV is the future value, PV is the principal amount, r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Let’s consider an example where we invest $1,000 for 1 year at 5% compounded monthly.
FV = 1000 * (1 + 0.05/12)^(12*1) ≈ $1,051.16

2. 5.25% Compounded Annually:
With 5.25% compounded annually, the interest is compounded once a year. The formula for future value remains the same, but with the annual interest rate.

Let’s consider the same example where we invest $1,000 for 1 year at 5.25% compounded annually.
FV = 1000 * (1 + 0.0525/1)^(1*1) ≈ $1,052.50

Comparing the future values, we can see that the investment compounded annually has a higher value of approximately $1,052.50, while the investment compounded monthly has a lower value of approximately $1,051.16.

Therefore, based on these examples, the investment with 5.25% compounded annually is better as it yields a higher return compared to the investment with 5% compounded monthly.


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The measure of the missing angles are

x = 135°

y = 45°

An Octagon is a polygon that has eight sides

To calculate the measure of the missing angle in the octagon, we use the formula below

Formula:

Where:

From the diagram,

Substitute these values into equation 1

Also,

Substitute the value sof x into equation 2

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Answer:

31

Step-by-step explanation:

I would use my fingers mostly.

But, I just do it normally. I pretend I'm using a sheet of paper then I write on it for the equation.

903.6 divided by 29.1

Then I estimate it because I know that 29.1 can go into 903.6 about 31 times. Then I multiply 31 and 29.1 and i get around 903.6.

I hope this helps. I'm sorry if you get this wrong.

Answer:

30

Step-by-step explanation:

Round 903.6 to 900 and 29.1 to 30

So 900/30

= 30

This would be my estimated answer

Also 30^2

= 900

Answer:

85 as aparcentege

85/100

0.85%

a. The price, p, when x = 10 is p = 4 dollars.

b. The rate of change of demand with respect to price, p, when x = 10 is -48/25.

c. The elasticity of demand when x = 10 is -12.

(a) To compute the price, p, when x = 10, we substitute x = 10 into the demand function and solve for p.

x^2 + 2p^2 + 5x + 8p = 214

Substituting x = 10:

10^2 + 2p^2 + 5(10) + 8p = 214

100 + 2p^2 + 50 + 8p = 214

2p^2 + 8p + 150 = 214

2p^2 + 8p - 64 = 0

Dividing the equation by 2:

p^2 + 4p - 32 = 0

Now we can solve this quadratic equation. Factoring or using the quadratic formula, we find:

(p + 8)(p - 4) = 0

Therefore, p = -8 or p = 4.

However, since p represents the wholesale unit price, it cannot be negative. Therefore, the price, p, when x = 10 is p = 4 dollars.

(b) To compute the rate of change of demand with respect to price, p, when x = 10, we need to differentiate the demand function implicitly with respect to p.

Differentiating both sides of the equation with respect to p:

d/dp (x^2 + 2p^2 + 5x + 8p) = d/dp (214)

2x(dx/dp) + 4p + 5(dx/dp) + 8 = 0

Substituting x = 10 and rearranging:

20(dx/dp) + 4p + 5(dx/dp) + 8 = 0

25(dx/dp) = -4p - 8

(dx/dp) = (-4p - 8) / 25

Substituting x = 10:

(dx/dp) = (-4(10) - 8) / 25 = -48/25

Therefore, the rate of change of demand with respect to price, p, when x = 10 is -48/25.

(c) To compute the elasticity of demand when x = 10, we use the formula for elasticity of demand:

Elasticity of Demand = (dp/dx) * (x/p)

We already found (dp/dx) in part (b) as -48/25. Substituting x = 10:

Elasticity of Demand = (-48/25) * (10/4)

Simplifying:

Elasticity of Demand = -12

Therefore, the elasticity of demand when x = 10 is -12.

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After solving the given expression (3x+10)(2x²+1)(2-x)>0 the answer is

(- 6x⁴ - 3x³ + 37x² - 4x + 20) > 0.

So, (3x+10)(2x²+1)(2-x)>0:

Solve the expression as follows:

Therefore, after solving the given expression the answer is (- 6x⁴ - 3x³ + 37x² - 4x + 20) > 0.

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Answer:

true

Step-by-step explanation:

Starting with the general \(P(t) = P_0(1+r)^t\) and being told \(P_0=1000\) and\(r = 9.5\% = 0.095\), we have the function

    \(P(t) = 1000(1.095)^t\)

Now, for the population to double, we need to figure out what \(P(t) = 2000\) :

    \(2000 = 1000(1.095)^t\)

To solve this, first divide by 1000, to isolate the exponential portion:

    \(2 = (1.095)^t\)

At this point, you have a few options, but they'll all come down to some logarithm.  Your choice is what base log you use.  The typical ones are base \(e\) (AKA the natural log) or base 10 (AKA the common log).  But you could also use any base.

I'll go at this with the natural log, but you can replace that with any other base log.  So, first you'll take the natural log of both side:

    \(\ln\big(2\big) = \ln\big((1.095)^t\big)\)

The reason for this is that the exponent inside that natural log on the right side gets to come down using one of the rules of logarithms.

    \(\ln\big(2\big) = t\cdot \ln(1.095)\)

To finish that, you just divide both sides by ln(1.095):

    \(\dfrac{\ln(2)}{\ln(1.095)} = t\)

Throw that into a calculator, do a little rounding, and you've got your answer.

Side note:  You might have noticed that our first step was to divide out the original population.  So it didn't really matter if you started with 1000 people or 10000000 people.  The doubling time for an exponential function only depends on the growth rate.

Answer:

4/11, 3, 17/5, 3.421, 3.48

Step-by-step explanation:

4/11 = 0.36363636(repeating)

17/5 = 3.4

4/11 is the smallest given that is is not even 1

3 is smaller than 17/5, an easy way to know that is to simply 17/5 where it equals 3.4

17.5 or 3.4 is slightly smaller than 3.421, it is exactly 0.021 smaller than 3.421

3.421 is smaller than 3.48

least is 4/11 and greatest is 3.48, the in between numbers are all placed correctly in the answer section

Answer:

The answers from least to greatest are 3.36, 3.4, 3.421, 3.48

Step-by-step explanation:

17/5= 3 2/5, 3 2/5 = 3.4

3 4/11 = 3.36

3.421 stays the same

3.48 stays the same

I hope this helps and have a wonderful day!

Answer:

....

Step-by-step explanation:

can you provide an image if the question instead...

The population size in 1951 can be predicted to be :  2,551,970,500

Population is the term typically used to refer to the number of people in a single area. Governments conduct a census to quantify the size of a resident population within a given jurisdiction.

here, we have,

Applying Malthus's  population  projection

P = P₁ ( 1 + r ) n  ----- ( 1 )

where :

P ( projected population ) = ?

P₁ ( Recent population ) = 2,515,000,000

r ( intrinsic rate ) = 1.47 %

n ( number of years ) = 1

Given that the population grows exponentially

P = 2,515,000,000 ( 1 + 0.0147 ) * 1

 = 2,551,970,500.

Hence we can conclude that The population size in 1951 can be predicted to be  2,551,970,500

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Answer:

if it is area of triangle it would be 49

Step-by-step explanation: