What is 656 divided by 78

Answer:

478.32

Step-by-step explanation:

1) the basic formula is:

\(A=A_{base}+A_{sidesurface}.\)

2) the Area of the base consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 6.93 cm, - then the Area of one triangle is 0.5*8*6.93=27.72 (cm²);

\(A_{base}=6*27.72=166.32(cm^2).\)

3) the Area of the side surface consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 13 cm, - then the Area of one triangle is 0.5*13*8=52 (cm.²);

\(A_{sidesurface}=6*52=312(cm.^2).\)

4) finally, the required Area:

\(Area=A_{base}+A_{sidesurface}=166.32+312=478.32(cm.^2).\)

the given expression,

4x + 2y = 6 ......(1)

and

x - y = 3 ..........(2)

multiply equation (2) by 2

Answer:

it is up

Step-by-step explanation:

Answer:

It is not a valid sample because it is not a random sample of the population.

Answer:It is not a valid sample because it is not a random sample of the population.

Step-by-step explanation:

got it right

Answer: Acute angle

Step-by-step explanation:

because it is at a 62 I think angle

Given:

The table shows the color of the cars sold from a dealership over the last month.

Required:

Which prediction about next months car sales is most reasonable?

Explanation:

We can check the percentage of each car sold.

Now,

We can see that Silver color cars are sold twice as red color cars.

Answer: S

So, option A is correct.

The percentage error in the density of metal will be 3.4%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the density of the metal in the handbook is 4.018 g/mL and the measured value of the density is 4.16 g/mL.

The percentage error will be calculated as:-

Percentage = [ ( 4.16 - 4.018 ) / 4.16 ] x 100

Percentage = 0.034x 100

Percentage = 3.4%

Hence, the percentage error will be 3.4% for the densities.

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The circumference of this circle is equal to 37.68 meters.

In Mathematics and Geometry, the circumference of a circle can be calculated by using the following mathematical expression:

C = 2πr

Where:

By substituting the given parameters into the formula for the circumference of a circle, we have the following;

Circumference of this circle, C = 2 × 3.14 × 6

Circumference of this circle, C = 37.68 meters.

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Answer:

B

Birds are related to theropod dinosaurs — a group that includes the Tyrannosaurus rex.

Theropods were bipedal dinosaurs, meaning they walked on two legs, not four like many other dinosaurs. When we look at the modern-day emu or ostrich, the resemblance to these dinosaurs is striking, especially when examining their bone structure.

Birds have scales like many dinosaurs and some dinosaurs may have had feathers.

Scientists have discovered that the tissues used to produce scales in reptiles are similar to those that produce feathers in birds. This suggests that there is a common ancestor between dinosaurs, birds, and reptiles. Furthermore, birds have scales on their feet!

Birds lay eggs similar to dinosaurs and reptiles.

The similarities between bird and reptile eggs are well known, but they also share traits with dinosaur eggs.

Most dinosaur eggs are hard-shelled, just like the eggs of our modern-day feathered friends. They are also both made up of the same basic elements, calcium, and carbon, which form crystal structures that make the eggshell more difficult to crack.

Answer:

32.6°F.

Step-by-step explanation:

The initial temperature of the water was 33.2°F. After several minutes, the temperature of the water changed by -0.6°F. So, the new temperature of the water is

33.2 + (-0.6)  

=  

(30 + 3) + [0.2 + (-0.6)]

=  

33 + (-0.4)

=  

33 – 0.4

=  

32.6°F.

copied the answer from Edmentum

The list that represents the simulation of three free throws is 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

An arrangement of objects where the order in which the objects are selected does not matter.

Given that  random numbers is being used to stimulate event of a basketball player making three free throws in a row

The list is given as:

860583 785814 010122 337198 621549 034076 796495 978078 433330 333153

When rearranged, we have: 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

Hence, the list that represents the simulation of three free throws is 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

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Answer:

A, C, B, C, D

Step-by-step explanation:

Notes for Self:

T = 92
Fo T: 26 + 3 + 5 + 6 = 40
Bk T: 10 + 7 + 6 + 5 = 28

Bs T: 9 + 7 + 5 + 3 = 24

Fo: 26

Bs: 9

Bk: 10
Bs Bk: 7

Bk Fo: 6

Fo Bs: 3

Fo Bs Bk: 5

13: 40 + 24 - 3 - 5= 56/66 = 23/33

14: 3 + 5 = 8/66 = 4/33

15: 40/66 = 20/33

16: 26/66 = 13/33

17: 9 + 7 = 16/66 = 8/33

Answer:

  13.  a

  14.  c

  15.  b

  16.  c

  17.  d

Step-by-step explanation:

You want various probabilities associated with selections from the given Venn diagram.

Assuming a student is chosen at random, the probability they will play any sport shown in the diagram is the fraction of students in that section of the diagram. There are a total of 66 students represented in the diagram (the sum of the individual numbers). So, for example, the probability that a student plays only Basketball is 10/66, as 10 is the number in the Basketball section that is not also in some other section.

"Football or baseball" includes every section of the diagram except "basketball only". Hence the fraction is (66 -10)/66 = 56/66 = 28/33.

The probability a randomly selected student plays football or baseball is 28/33.

The numbers in where the "football" circle overlaps the "baseball" circle are 3 and 5. The fraction of students playing both is (3+5)/66 = 4/33.

The sum of all of the numbers in the "football" circle is ...

  26 +6 +5 +3 = 40

The probability the student plays football is 40/66 = 20/33.

The number in the "football" circle that is not in any other circle is 26.

The probability the student only plays football is 26/66 = 13/33.

The numbers in the "baseball" circle that are not in the "football" circle are 7 and 9. The fraction playing baseball, but not football, is (7+9)/66 = 8/33.

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Answer:

The Sampling Distribution of the Sample Mean. If repeated random samples of a given size n are taken from a population of values for a quantitative variable, where the population mean is μ (mu) and the population standard deviation is σ (sigma) then the mean of all sample means (x-bars) is population mean μ (mu).

Step-by-step explanation:

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Answer:

h = b - a

Step-by-step explanation:

Answer:

A/b = h

Step-by-step explanation:

A=bh

1) divide both sides by b

A/b = h

Answer:

(2k-5)(2k-5)

Step-by-step explanation:

The exponent of 2 lets us know that the numbers and variables in the parentheses are getting multiplied together twice. E.x: if it was (2k-5)^3, it would have 3 sets of parentheses instead of 2.

The estimated sum of 7 83/84 is 8 to the nearest whole number.

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

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The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

$56.35

Step-by-step explanation:

Ok so heres how I got through this in school. Take the 49 and divide it by the 100 meaning 100 percent. You take the 0.49 times the 15 percent to get 7.35. Lastly, you add the 49 dollars and the 7.35 together to get 56.35.

Answer: The transformation g(x) = f(2x) will produce the values given in the g(x) column of the table.

Step-by-step explanation: The transformation of f(x) that will produce g(x) is g(x) = f(2x).

In the given table, we can observe that the values of g(x) are equal to the corresponding values of f(x) when x is multiplied by 2. This indicates that g(x) is obtained by applying a horizontal compression or shrinking to f(x) by a factor of 2.

By substituting 2x into the function f(x), we can see that the values match those in the g(x) column:

f(2x) = f(-4) = 5

f(2x) = f(-2) = 2

f(2x) = f(0) = 1

f(2x) = f(2) = 5

f(2x) = f(4) = 10

Hence, the transformation g(x) = f(2x) will produce the values given in the g(x) column of the table.

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Answer:

Hope this helps! All you needed to do was add and subtract. Go through the slides, I added the step by step explanation, as well as the final table which contains the answers.

The value of the expressions are:

24(5/9) +30(7/9) = 6(2/9)

45(2/9) +39(3/9) = 84(5/9)

28.98 + (-52.22) =-23.24

56.75 + 75.12 = 131.87

We have,

Expressions:

-24(5/9) +30(7/9)

Simplifying the fractions.

This can be written as,

= (-24 + 30) +(-5/9 + 7/9)

= 6 + 2/9

= 6(2/9)

45(2/9) +39(3/9)

= (45 + 39) + (2/9 + 3/9)

= 84 + 5/9

= 84(5/9)

28.98 + (-52.22)

= 28.98 - 52.22

= -23.24

56.75 + 75.12

= 131.87

Thus,

The value of the expressions are:

24(5/9) +30(7/9) = 6(2/9)

45(2/9) +39(3/9) = 84(5/9)

28.98 + (-52.22) =-23.24

56.75 + 75.12 = 131.87

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Answer:

D. X=-3(y + 3) - 4

Step-by-step explanation:

\(a) \\\\\dfrac {2x}{3} =8 \\\\\implies 2x = 8 \times 3 = 24\\\\\implies x = \dfrac{24}2 = 12\\\\b)\\\\\dfrac{3x}2 = 6\\\\\implies 3x = 6\times 2 = 12\\\\\implies x = \dfrac{12}3 =4\)

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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The compass can be used to copy a given angle and the straightedge can be used to make a straight line in below mentioned steps.

Given, a compass and Straightedge

we have to mention the steps to use the compass and straightedge

Compass can be used to copy a given angle :

i) Make a line and construct a semi-circle at one end of the line segment.

ii) Now, with same measurement construct a semi-circle at the vertex of the given angle.

iii) Now, measure the arc cutting the edges of the angle and make the same arc at the line segment.

Straightedge can be used to make a straight line :

i) First put the straightedge on the plane on which straight line is to made.

ii) Keep pen or pencil along the edge of the straightedge.

iii) Draw a line along the straightedge.

Hence, the compass can be used to copy a given angle and the straightedge can be used to make a straight line in above mentioned steps.

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Answer:

Dependent variable → bacteria cell increase or population

Independent variable → time variable

Step-by-step explanation:

An independent variable has direct effect on the dependent variable. The independent variable can stand on it own and it is not change by the other variable you are trying to measure. The independent variable have direct effect on the dependent variable.

A dependent variable is actually the variable being tested in an experiment. The dependent variable is actually dependent on the independent variable.

The dependent variable in this scenario is the bacteria cell increase or the bacteria cell multiplication.  The bacteria cell increase is dependent on the time . The time variable is the independent  variable as it can stand on it own .

Dependent variable → bacteria cell increase or population

Independent variable → time variable

a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.

b) To calculate the expected count for the bottom right cell, we can use the formula:

Expected count = (row total x column total) / grand total

The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:

Expected count = (100 x 100) / 300 = 33.33

The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.

c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.

Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.

Step-by-step explanation:

-6 (3 - 8r) = 18

-18+48r = 18

48r = 18 + 18

48r = 36

r = 36/48

r = ¾