What is the smallest positive integer x such that 52 divides 98701 + x.​

Answer:

D

Step-by-step explanation:

I got it right!

Answer:

d

Step-by-step explanation:

took the test

There are 56 milligrams in 8 milliliters of the drug if the drug's label says each milliliter contains 7 milligrams of the substance.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Let x milligrams would in 8 ​milliliters.

We can write this as a ratio as

As per the given information,

1 milliliter  : 7 milligrams  = 8 milliliter   : x milligrams

⇒ 1 / 7 = 8 / x

⇒ x = 8 × 7

⇒ x = 56 milligrams

Hence, there are 56 milligrams in 8 ​milliliters of the drug.

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Using the average rate of change concept, we have that:

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

For item 1, when the time in minutes changes by 1, the height changes by 9.5 units, hence the rate is given by:

r = 9.5/1 = 9.5 feet per minute.

For item 2, we want a table with a rate of -3, hence, when the first column changes by 1, the second column should always change by -3, hence the table is:

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 22, negative 21, negative 20, negative 19. Column 2 is labeled y with entries 2, negative 1, negative 4, negative 7.

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Step 1) : Based on the given conditions, formulate

[tex] \large\bf \longrightarrow \frac{510}{3000} [/tex]

Step 2) : Calculate

[tex] \bf \longrightarrow\frac{51 \cancel{0}}{{300 \cancel{0}} } \: = \frac{51 \div 3}{300 \div 3} = \frac{17}{100} [/tex]

Step 3) : Convert to percentage

[tex] \bf\longrightarrow{\frac{17}{100} = 0.17}[/tex]

Answer:— 36, 20-29 years, 20-29 years, Total confirmed cases in ages 20-29 over the 14 day period ... 707, 01/03/2022, 1151692, 36278, 18031.4286.

Step-by-step explanation:

Answer:

95=Xx9 +Yx2.50

Step-by-step explanation:

The inequalities graphically shows the given situation is 95 ≥  +2.50y + 18x. The graph is attached below.

If the equation or inequality contains variable terms, then there might be some values of those variables for that equation or inequality might be true. Such values are called solution to that equation or inequality.

Here Set of such values is called solution set to the considered equation or inequality.

We have been given that William and his children went into a restaurant where they sell hamburgers for $8 each and drinks for $2.50 each.

Since William has $95 to spend and must buy no less than 18 hamburgers and drinks altogether.

If x represents the number of hamburgers purchased and y represents the number of drinks purchased then;

95 ≥  +2.50y + 18x

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Answer:

75°

Step-by-step explanation:

[tex]m\angle KLM=m\angle KLQ+m\angle QLM \\ \\ 173=x+105+x+82 \\ \\ 173=2x+187 \\ \\ 2x=-14 \\ \\ x=-7 \\ \\ \implies m \angle QLM=-7+82=75^{\circ}[/tex]

Answer:

75

Step-by-step explanation:

The required ratio of students to teachers is 19: 1.          

Given that,
The total enrollment of male students and female students is 15,363 male and 19,512 female respectively.
The total number of full-time instructional faculty was 1,849.
To determine the ratio of students to teachers.

Here,
Total students = 15363 + 19512 = 34875
Number of teachers = 1849
Now,
Ratio = total students / teacher
Ratio = 34875 / 1849
Ratio = 19 : 1

Thus, the required ratio of students to teachers is 19 : 1.

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The observational study is the Cross-sectional studies.

It should be noted that an observational study is simply used to answer a research question that is based on what the researcher observes.

This is a cross-sectional studies because it analyzes a population of study at a specific point in time. It should be noted that this involves narrowing previously collected data to one point in time to test the prevalence of a theory.

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Answer:

-29

Step-by-step explanation:

x/2 - 5y + 1.5z
(10)/2 - 5(8) + 1.5(4)

5 - 40 + 6
-35 + 6
-29

Answer:

=10/2-5×8+1.5×4

=5-40+6.0

=-29

The line AB joining the points A and B on the plane M lies in plane M.

Say there are two points A and B which lies on the plane M.  

Through any two points, there is only one line. Then there is exactly one line joining the two points A and B which is the line AB

Since both the points lies on the plane M, the line joining them should also lie on the plane M.

The postulate which verifies this is:

If two points lie on a plane, then the line joining the points also lies on the same plane.

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a. Because [tex]f[/tex] is even,

[tex]\displaystyle \int_{-7}^7 f(x) \, dx = 2 \int_0^7 f(x) \, dx = 18 \\\\ ~~~~ \implies \int_0^7 f(x) \, dx = \frac{18}2 = \boxed{9}[/tex]

b. The product of an even function [tex](f)[/tex] by an odd function [tex](x)[/tex] is an odd function, whose integral over a symmetric interval is zero.

[tex]\displaystyle \int_{-7}^7 xf(x) \, dx = \boxed{0}[/tex]

Answer:

nwm zycze powodzenia kolego drogi

Answer: 3

Step-by-step explanation:

The required scale factor of the given dilation is 3. Option D is correct.

Given that,
The center of dilation is (2, 2).
To determine the scale factor of the dilation.0

The scale factor is defined as the ratio of modified change in length to the original length.

Here,
Length of one side of triangle former dilation = 2 units
Length of one side of triangle later dilation = 6 units
Scale factor = later dimensions / former dimensions = 6 / 2 = 3

Thus, the required scale factor of the given dilation is 3. Option D is correct.

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Answer:

22.6796 kg.

Step-by-step explanation:

The answer is 22 i am sure about this

[tex]\displaystyle\\Answer:\ (-\frac{3}{13},-2\frac{6}{13} )[/tex]

Step-by-step explanation:

[tex]\displaystyle\\\frac{3}{10} =0.3\\\\(-3,-5)\ \ \ \ \ (9,6)\\\\\boxed {x=\frac{x_1+\lambda x_2}{1+\lambda} }\ \ \ \ \ \ \ \ \ \ \ \boxed {y=\frac{y_1+\lambda y_2}{1+\lambda} }\\\\x_1=-3\ \ \ \ \ x_2=9\ \ \ \ \ y_1=-5\ \ \ \ \ \ \ y_2=6\\\\x=\frac{-3+0.3*9}{1+0.3} \\\\x=\frac{-3+2.7}{1.3} \\\\x=\frac{-0.3}{1.3}\\\\ x=-\frac{0.3*10}{1.3*10}\\\\ x=-\frac{3}{13} \\\\[/tex]

[tex]\displaystyle\\y=\frac{-5+0.3*6}{1+0.3} \\\\y=\frac{-5+1.8}{1.3} \\\\y=\frac{-3.2}{1.3} \\\\y=-\frac{3.2*10}{1.3*10} \\\\y=-\frac{32}{13} \\\\y=-2\frac{6}{13} \\[/tex]

A) Matching the stages of a business life cycle in the correct order is as follows:

B) Matching the business life cycle to its description is as follows:

Exit Plan            The owner decides to sell.

Success            A business owner gets it running and introduces it

                          to the market in its attempt to catch the competition.

The business life cycle refers to the gradual progress of a business over its lifetime.

A business life cycle can be divided into five broad stages: launch, growth, shake-out, maturity, and decline.  Some management gurus classify the life cycle of a business into the following stages: Existence, Survival, Success, Take-off, and Resource Maturity.

Thus, a successful business declines after its maturity stage.

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Answer:

The scale factor is 4/3

Step-by-step explanation:

Let x = the scale factor

15x = 20  Divide both sides by 15

x =20/15  Which simplifies to 4/3

The scale factor that was used to create WH will be 4/3.

The scale factor is defined as the proportion of the new image's size to that of the previous image decision-making. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that BF is dilated to create WH. The center of dilation is point A where BF=15, WH=20

The scale factor will be calculated as below:-

Let x = the scale factor

15x = 20  

Divide both sides by 15

x =20/15  

Which simplifies to 4/3.

x = 4 / 3

Therefore, the scale factor that was used to create WH will be 4/3.

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Step-by-step explanation:

1)

the perimeter P

P = 2x + 2y = 80 m

the area A

A = x × y

2)

2x + 2y = 80

2y = 80 - 2x

y = 40 - x

and we use that in the equation for area

A = x × (40 - x) = 40x - x²

we find the maximum (or minimum) of a function by finding the 0s of the first derivative.

A' = 40 - 2x = 0

40 = 2x

x = 20

y = 40 - x = 40 - 20 = 20

and just to be sure :

if the second derivative at that point x is negative, we have a maximum, if it is positive, we have a minimum.

A'' = -2

so, it is negative for all x incl. x = 20.

therefore, we have a maximum.

the rectangle with perimeter of 80 m and the max. area is a square of 20 m side length.

considering the distance between the center of the circle and the chord is perpendicular, pythagorean theorem can be applied to calculate the radius of the circle.

[tex]r^2=a^2+b^2[/tex] , r=radius, a=half of the chord length, b the distance between the center of the circle and the center of the chord

[tex]r^2=(4.5cm)^2+(5cm)^2\\r^2=20.25cm^2+25cm^2\\r^2=45.25cm^2\\r=\sqrt{45.25cm^2}\\r=6.7268cm[/tex]

The vertical distance (Δ`y`) for the slope triangle as indicated is; (4-2) ; 2.

The horizontal distance (Δ`x`) for the slope triangle as indicated is; (4-0) ; 4.

According to the task content, it follows that the vertical and horizontal distance for the slope triangle in discuss are to be determined.

Hence, by observation, Δ`y` can be obtained on the graph from points 4 and 2; we have; 4-2 = 2.

Also, by observation, Δ`x` can be obtained on the graph from points 4 and 0; we have; 4-0 = 4.

Ultimately, the vertical and horizontal distances of the slope triangle are as indicated.

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Therefore, the ratio of the number of laptops to total computers is 2:7

Number of laptops repaired by a technician = 18

Number of desktops repaired by a technician = 24

Total number of computers = no of laptops + no of desktops

                                              = 18 + 24

                                              = 42

We have to determine the ratio of laptops to total computers as

= no of laptops / total no of computers

= 18 / 42

= 6 / 14

= 2 / 7

Therefore, the ratio of the number of laptops to total computers is 2:7

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Answer: 3/7

The factors of 18 are 1,2,3,6,9,18;

The factors of 42 are 1,2,3,6,7,14,21,42.

A statement, rule, or regulation that establishes the relationship between an independent variable and a dependent variable is known as a function.

A network can be represented mathematically as a graph, which explains the connection between lines and points. A graph consists of some points with connecting lines.

Consider the function,

[tex]f(x)=\frac{||x||+2}{2}[/tex] and 0 ≤ x ≤ 6

To graph the function we will find the points on the graph for different values of x.

When x = 0,

[tex]f(x)=\frac{||x||+2}{2}[/tex]

[tex]f(x)=\frac{||0||+2}{2}=1[/tex]

When x = 1,

[tex]f(x)=\frac{||x||+2}{2}[/tex]

[tex]f(1)=\frac{||1||+2}{2}\\ f(1)=\frac{3}{2}[/tex]

When x = 2,

[tex]f(x)=\frac{||x||+2}{2}[/tex]

[tex]f(2)=\frac{||2||+2}{2}[/tex]

[tex]f(2)=2[/tex]

When x = 3,

[tex]f(x)=\frac{||x||+2}{2}[/tex]

[tex]f(3)=\frac{||3||+2}{2}[/tex]

[tex]f(3)=\frac{5}{2}[/tex]

When x = 4,

[tex]f(x)=\frac{||x||+2}{2}[/tex]

[tex]f(4)=\frac{||4||+2}{2}\\ f(4)=3[/tex]

When x = 5,

[tex]f(x)=\frac{||x||+2}{2}[/tex]

[tex]f(5)=\frac{||5||+2}{2}[/tex]

[tex]f(5)=\frac{7}{2}[/tex]

When x = 6,

[tex]f(x)=\frac{||x||+2}{2}[/tex]

[tex]f(6)=\frac{||6||+2}{2} \\f(6)=4[/tex]

Therefore, the points on the graph of the function [tex]f(x)=\frac{||x||+2}{2}[/tex] are ( 0, 1 ), ( 1, ( 3/2 ) ), ( 2, 2 ), ( 2, ( 5/2 ) ), ( 4, 3 ), ( 5, ( 7/2 ) ), and ( 6, 4).

Hence, the graph of the function is:

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The equation of the line tangent to the parabola at x = 4 is y = 13 · x - 27. The tangent line has a slope of 13 and a intercept of - 27.

Parabolae are defined by quadratic equations, that is, equations whose form is y = a · x² + b · x + c. The slope of a line tangent to a point of the curve is defined by a linear equation, that is, an equation of the form y = m · x + b. By derivative rules, the slope of the tangent line can be found by using the following expression:

m = 2 · a · x + b

Then, if we know that y = 2 · x² - 3 · x + 5 and x = 4, then the equation of the tangent line is:

Slope

m = 4 · x - 3

m = 4 · 4 - 3

m = 13

Intercept

b = y - m · x

y = 2 · 4² - 3 · 4 + 5

y = 32 - 12 + 5

y = 25

b = 25 - 13 · 4

b = 25 - 52

b = - 27

The equation of the line tangent to the parabola at x = 4 is y = 13 · x - 27. The tangent line has a slope of 13 and a intercept of - 27.

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Value of (F/G)(-3)  with the given functions F(x)=x² -19 and G(x) = 14 - x is equal to (-10/17).

As given,

Given functions

F(x)=x² -19

G(x)=14 - x

Substitute the values in the required function:

( F/G )(x)=( x² -19 )/( 14 - x)

Now substitute x= -3

( F/G )( -3) =[ (-3)² -19 ] /[ 14 - (-3) ]

⇒ ( F/G )(-3) =( 9-19) / (14+ 3)

⇒ ( F/G )(-3) =( -10/17)

Therefore, value of (F/G)(-3)  with the given functions F(x) = x² -19 and G(x) = 14 - x is equal to (-10/17).

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Answer:

true

Step-by-step explanation:

Answer:

The tip was 20.6% or 20.59% of the original bill

Step-by-step explanation:

Question: The bill for dinner was $77.12. You left $15.88 for the tip. What percentage of the original bill was the tip?

Step-by-step:

To find the percentage of how much a part ($15.88) is or a whole ($77.12), the formula of part = percentage * whole is used.

It is usually written as a = p*w

In this case, $15.88 is a and $77.12 is w.

so, 15.88 = p*77.12

However, we need to find p. To do so, we need to get p by itself. Divide 77.12 on both sides so that it cancels out on the right side.

15.88 divided by 77.12 is about 0.2059

We need to make the decimal a percentage by multiplying 100

0.2059 * 100 = 20.59%

You could probably round it up to 20.6% if you wanted to

Therefore, the tip was 20.6% or 20.59% of the original bill.