What number should be placed in the box to help complete the division calculation?

long division setup showing an incomplete calculation. 15 is in the divisor, 6396 is in the dividend, and 4 hundreds and 2 tens is written in the quotient. 6000 is subtracted from 6396 to give 396. An unknown value represented by a box is being subtracted from 396.

Step-by-step explanation:

We need to find the circumference of the equation.

One circle circumference is a circle full rotation.

[tex]c = \pi(d)[/tex]

[tex]d = 2r[/tex]

[tex]c = 2r\pi[/tex]

R is 14.

[tex]c = 28\pi[/tex]

We need a rotation 10times so

[tex]10 \times 28\pi = 280\pi[/tex]

The measurement that does not represent the dimension of the triangle is 15, 30 and 45cm

The measurement that does represent the dimension of the triangle is 4, 8 and 10 cm.

Two triangles are similar if the ratio of the side lengths of the triangle are equal.

The ratio of the length of the triangles are 6 cm : 12 cm : 15 cm

Express the ratio in its simplest form - 2 cm : 4 cm : 5 cm

Ratio of 12, 24 cm and 30cm in its simplest form - 2 : 4 : 5

Ratio of 10, 20 and 25cm in its simplest form - 2 : 4 : 5

Ratio of 18, 36, 45cm in its simplest form - 2 : 4 : 5

Ratio of 15, 30 and 45cm in its simplest form - 1 : 2 : 3

Ratio of 4, 8 and 10 in its simplest form - 2 : 4 : 5

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Answer:

4 [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Make them equivalent

4 [tex]\frac{2}{3}[/tex]  if I multiply the numerator (top) and the denominator (bottom) by 2 I get

4[tex]\frac{4}{6}[/tex]

4 [tex]\frac{5}{6}[/tex] is greater than 4 [tex]\frac{4}{6}[/tex]

The mystery number is y = 0.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), operations, variables, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Let's assume the mystery number to be y.

When we multiply it by 1, add 5, and finally subtract by 2 we obtain 3.

Using the statement we obtain the expression,

y × 1 + 5 - 2 = 3

y + 5 - 2 = 3

y + 3 = 3

Subtracting 3 from each side of the equation,

y + 3 - 3 = 3 - 3

y = 0

Hence the mystery number is 0.

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Answer: B. Function g is the result of f being translated left 2 units and up 4 units. and C. The graph of function f opens upward.

Step-by-step explanation:

It is translated 2 units to the left and 4 units up because in the function of a(x-h)^2k, h represents the function going left of right and k representing the function going up and down. a represents it stretching if it is greater than 1 and compressing if less than 1 and if it is negative it reflects over the x axis however here nothing changed for the a so it did not stretch nor compress nor reflect over the x axis

The error interval of the area a of the shaded region

What is Error Interval?

Error intervals are the limits of accuracy when a number has been rounded or truncated. They are the range of possible values that a number could have been before it was rounded or truncated.

Given,

Area of the circle  = 67.1cm²

Area of the square  = 12.3cm²

According to the question:

The formula for the area of the shaded

region on the diagram is:

Area of the circle - Area of the square

Putting the value of Area of circle and Area of square

= 67.1cm² - 12.3cm²

= 54.8cm²

The Error interval of area a = 54.8 + 0.5   and 54.8 - 0.5

                                             = 54.85        and 54.75

Hence, Area of shaded region is 54.85< a < 54.75        

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1) Judging by the picture, which resembles a construction done with a compass with the same distance, therefore we can tell a regular polygon.

2) We can also trace some line segments then we'll have a:

The speed of the particle at time t=4 is 5 units.

We are given the x(t) vs time curve.

To find:

Speed of particle at t = 4

We know that the slope of x-t curve represents the speed of the particle.

To calculate the speed of the particle at t = 4, We will calculate the slope of the curve at t = 4

Slope = y₂ -y₁ / x₂ - x₁

Slope = 40 - 10 / 6 - 0

Slope = 30 /6

Slope = 5

From here we can say that the slope of the curve between x = 0 and x = 6 is equal to 5.

So the value of speed is also 5 units.

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The measure of the angle is 35°. The complement is 55° and the supplement is 145°.

Let's measure of the angle = x

Supplementary angle of x = 180° - x

Complementary angle of x = 90° - x

By the given condition

180° - x = 2(90° - x) + 35°

Find the measure of the angle

180° - x = 2(90° - x) + 35°

⇒ 180° - x = 180° - 2x + 35°

⇒ - x = - 2x + 35°

⇒ - x + 2x = 35°

⇒ x = 35°

The measure of the angle = 35

The complement will be:

= 90° - 35° = 55°

The supplement will be:

= 180° - 35° = 155°

The concept illustrates how angles are calculated.

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The graph of the line with the slope of 4/3 and goes through the point (1,3) has been plotted

The slope of the line = 4/3

The line is passing through the point = (1,3)

Here we have to use the point slope form the line

The point slope form of the line = [tex](y-y_{1} )= m(x-x_{1})[/tex]

Where m is the slope of the line

[tex](x_{1},y_{1} )[/tex] is the coordinate of the point

Substitute the values in the equation

(y-3) = 4/3 (x-1)

y-3 = (4/3)x - 4/3

y = (4/3)x - 4/3 + 3

y = (4/3)x + 5/3

We got the slope intercept of the line.

Plot the graph using the slope intercept form of  the line

Hence, the graph of the line with the slope of 4/3 and goes through the point (1,3) has been plotted

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Answer:

k = -2.

Step-by-step explanation:

By the Factor Theorem, if x - 1 is a factor then p(1) = 0.

So, p(1) = (1)^2 + 1  + k = 0

k = -1 - 1

k = -2.

Answer:

B

Step-by-step explanation:

Fraction subtraction:

 [tex]\sf 6 \dfrac{3}{5}-(-2\dfrac{1}{5})=6\dfrac{3}{5}+2\dfrac{1}{5}[/tex]

Convert mixed fraction to improper fraction,

                    [tex]\sf = \dfrac{33}{5}+\dfrac{11}{5}[/tex]

Now, add.

                  [tex]\sf = \dfrac{33+11}{5}\\\\=\dfrac{44}{5}[/tex]

Covert improper fraction to mixed fraction.

                  [tex]\sf = 8\dfrac{4}{5}[/tex]

The difference in the temperatures of the town is -37.4 degrees Fahrenheit.

The difference between two values refers to the result of a subtraction operation.

A subtraction operation has the following parts: minuend, subtrahend, and difference.

In this situation, the minuend is 26.2F while the subtrahend is -11.2F.

Thus, the difference results from subtracting -11.2F from 26.2F, which is -37.4F, showing that the temperature is reduced by -37.4F to reach -11.2F during the night.

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Mean = Sum of points/ number of points

Median

Step-by-step explanation:

Make the facts and then you can get the answer easily

a. Trapezoidal Rule- 9.413607

b. Midpoint Rule-9.393861

c. Simpson's Rule -9.400407

a. We use n=8 for this integral, .Δt=4-0/8=0.5

Therefore the integral range is[0,0.5,1.0,1.5......3.0,3.5....4.0 ]

#For the Trapezoidal Rule:

[tex]\int\limits^a_b[/tex]∫(x)dx≈[tex]Tn=[/tex]Δr/2[∫([tex]x0[/tex])+2∫(x1)+....+∫(xn)]

=[tex]\int\limits^4_0[/tex][tex]In(2+ex[/tex])dx≈[tex]T8[/tex]

=0.5/2[[tex]In[/tex](2+[tex]e0.0[/tex])+2In(2+e0.5)+2In(2+e1.0)+....+2In(2+e3.5)+In(2+e4.0)]

=0.25[1.098612+2.588754+3.102889+3.737962+4.479090+5.304017+6.189846+7.117283+4.035976]

≈9.413607

Hence, the approximate integral value using Trapezoidal rule is 9.413607

b.For the Midpoint Rule, we calculate the integral as:

[tex]\int\limits^a_b[/tex]∫(x)dx≈[tex]Mn=[/tex]Δx[∫[tex](x1)[/tex]+∫([tex]x2)[/tex]........∫([tex]xn)}[/tex]

x1 is the midpoint of the ith interval.

From our interval ,[0,0.5,1.0,1.5....3.0,3.5,4.0]the applicable intervals are

[0.25,0.75,1.25,2.25,2.75,3.25,3.75]

We therefore have the integral value as:

=4/8[[tex]In[/tex](2+[tex]e0.25[/tex])+In(2+[tex]e0.72[/tex])+In(2+[tex]e1.25[/tex])+....+In(2+[tex]e1.75[/tex])+In(2+[tex]e2.25[/tex])[tex]In[/tex](2.75)+In(2+e0.5)+In(2+e1.0)]

Hence, the approximate integral value using the Midpoint Rule is 9.393861

c. For the Simpson's Rule, we calculate the integral rule as follows:

Hence, the approximate integral value using the Simpson's Rule is 9.400407

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Answer:C(x) = 2000+ 0.05 x

Step-by-step explanation: Cost (C) = fixed cost + (cost per pencil x number of pencils)

Since:

Fixed cost: $2000

Cost per pencil : $0.05

Replacing with the values given:

C(x) = 2000+ 0.05 x

Where x is the number of pencils manufactured.

Feel free to ask for more if needed or if you did not understand something.

Answer:

A composite number is a whole number greater than 1 with more than two factors.

Step-by-step explanation:

Answer: 65 min

 7 pounds

Step-by-step explanation:

We will establish simple proportions. If [tex]16[/tex] miles takes [tex]20[/tex] minutes, how many minutes for [tex]12[/tex] miles?

That makes [tex]12[/tex] miles in [tex]15[/tex] minutes.

The equation of the function S(p(x)), rounded to the nearest ten thousandth is S(p(x)) = 140,000(0.9732)ˣ option (C) is corrrect.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation of the function:

p(x) = 140,000(0.965)ˣ

Which is the annual population decrease of giraffes in the wild of 3.5% due to development.

Plug x = 1.0085

[tex]\rm p(x) = 140,000(0.965)^{1.0085}[/tex]

S(p(x)) = 140,000(0.965)ˣ(1.0085)ˣ

S(p(x)) = 140,000(0.9732)ˣ

Thus, the equation of the function S(p(x)), rounded to the nearest ten thousandth is S(p(x)) = 140,000(0.9732)ˣ option (C) is corrrect.

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Using linear regression, the function that best fits the data in the scatter-plot is given by:

f(x) = 1/2x + 1.

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the context of the problem.

The scatter-plot in this problem contains these following points:

(-16, -7), (-9, -5), (-3, -3), (1, 2), (5, 4), (8, 3) and (14,6).

Inserting these points into a calculator, the equation is given by:

f(x) = 0.46835x + 1.

Approximating the slope to 1/2 considering the given options, the function is given by:

f(x) = 1/2x + 1.

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The average length by which finger nails will grow in 12 months will be 60mm, considering that they grow by an average of 5mm every month.

As per the question statement, there is no information provided about the average monthly growth of fingernails, and we required to calculate the average length by which finger nails will grow in 12 months.
To solve this question, we assumed that, the fingernails grow by an average of 5mm every month.

Now, using the unitary method, we can form a series of Mathematical statements to solve this question, which goes as follows:

If the average monthly growth of fingernails is 5mm,

It means that, fingernails grow in 1 month, by an average of 5mm.

Therefore, they will grow in 12 months, by an average of (5 * 12) = 60mm.

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Answer:

Yes

Step-by-step explanation:

Because a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

(tan x + cot x) sin x * cos x is 1

(tan x + cot x) sin x * cos x

= (tan x + 1 / tan x) sin x * cos x               because cot x = 1 / tan x

= (((tan x) ^2 + 1) / tan x) sin x * cos x             because (tan x) ^2 +1= (sec x) ^2

= (sin x / cos x) tan x

= tan x / tan x

= 1

Answer:

There is not sufficient evidence to support the conclusion that senators are average younger than 60.35

Step-by-step explanation:

Given a simple random sample, the size is 40 senators.

Since the relevant statistic is the sample mean, 60.35 years.

Calculate t as:

*Significance level is 0.05.

Area of 0.05, one-tail yields t=1.685.

Since t=4.82 does not fall in the critical region bounded, we fail to reject the null hypothesis.

There is not sufficient evidence to support the conclusion that senators are average younger than 60.35

Answer:

-32

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

45:3=15:3=5-37=-32

hope it helps

have a nice night with apples))

An integer exists a whole number that can be positive, negative, or zero and is not a fraction.

Unlike fractional numbers, integers can only be positive, negative, or zero. On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. An integer is a whole number that can be positive, negative, or zero and is not a fraction.

Any number that exists a part of a collection of all the aforementioned number categories is considered an integer. Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

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Number of bags= 16

Bag weight= 1.8 pounds

Then, number of pounds is

= 16x 1.8 = 28.8 pounds of cherries

Answer: (3,-13)

Step-by-step explanation:

[tex]f(x)=-x^2-4\\x=3[/tex]