how many integer between 20 and 40 divisable by 3
Answer:
4 prime numbers all divisible by 3
Step-by-step explanation:
there are 4 prime numbers between 20 and 40 23, 29, 31, 37 all divisible by 3
Answer:
7 integers
Step-by-step explanation:
We can find how many integers between 20 and 40 are divisible by 3 by looking at the multiples of 3 that lie between 20 and 40.
1: 3 * 7 = 21
2: 3 * 8 =24
3: 3 * 9 = 27
4: 3 * 10 = 30
5: 3 * 11 = 33
6: 3 * 12 = 36
7: 3 * 13 = 39
Is 2x 3 a linear equation in two variables?
Therefore , the solution of the given problem of linear equation comes out to be it is not a linear equation in two variables.
A linear equation is defined.A linear model is the one that satisfies the algebraic formula y=mx+b. m is the y-intercept, while B is the slope. The foregoing sentence is sometimes referred to as a "mathematical expression having two variables" both y and x are different factors. Bivariate linear equations are two-variable linear equations. There are several uses for linear equations: , all result in zero. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. Y=mx+b is the formula for an equation, where m stands for the slopes and b for the y-intercept.
Here,
Given : 2x + 3 =0
thus,
To find that it is linear equation in two variable is given equation
As,
We can see there is only one variable that is x.
So , it is not a linear equation in two variables.
Therefore , the solution of the given problem of linear equation comes out to be it is not a linear equation in two variables.
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15) 3x2 - x - 10 When this trinomial is factored completely, one of its factors is A) x 2 B) x - 5 C) 3x 5 D) 3x - 2
When the trinomial 3x² - x - 10 is factored completely, one of its factors is 3x+5.
Solving the given trinomial 3x² - x - 10.
=>3x² - 6x+5x - 10
=>3x(x-2)+5(x-2)
=>(3x+5)(x-2)
The two factors of the given trinomial 3x² - x - 10 is (3x+5) and (x-2), but according to the given options, the correct answer is option C - 3x+5.
Thus, When the trinomial 3x² - x - 10 is factored completely, one of its factors is 3x+5.
Complete question: 3x² - x - 10
When this trinomial is factored completely, one of its factors is
A) x + 2
B) x - 5
C) 3x + 5
D) 3x - 2
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which of the following phrases translate to the expression y+7 ?
The required phrase to translate the expression x + 7 is, A number increases by 7 or an Addition of number and 7.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Given expression x + 7,
The expression can be translated as a number increase by 7 or the Addition of the number and 7.
Thus. the required phrase to translate the expression x + 7 is, A number increases by 7 or an Addition of number and 7.
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A bacteria population has been doubling each day for the last 5 days. It is currently 100,000. What was the bacterial population 5 days ago?
It becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.
Logarithms arise in problems of exponential growth
and decay because they are inverses of exponential functions. Because of the Laws of Logarithms, they also turn out to be useful in the measurement of the loudness of sounds, the intensity of earthquakes, and other processes that occur in nature
We can write an exponential function to represent the situation.
We know that the current population is 100,000.
The population doubles each day.
The standard exponential function is given by P(t) = A (2)^t
Since our current population is 100,000, a = 100000.
Since our rate is doubling, r = 2.
So
P(t) = 100000 (2)^t
We want to find the population five days ago.
So, we can say that t = -5. The negative represent the number of days that has passed.
Therefore
P(-5) = 100000 (2)^-5 =100000*(1/32) =3125
However, we dealing within this context, we really can't have negative days. Although it works in this case, it can cause some confusion. So, let's write a function based on the original population.
We know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, our function is:
P(t) = A (2)^t
After 5 days, we reach the 100,000 population. So, when t = 5, P(t) = 100000:
100000 =A[tex]2^5[/tex]
And solving for A, we acquire :[tex]\frac{100000}{2^5}[/tex]
=3125
So, our function in terms of the original day is:
P(t) = 3125 (2)^t
So, it becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.
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two families with four people in each family go to a movie theater. in how many ways can they be seated
According to probability, if both families want to sit together, they can be seated in a row a maximum of two times.
What seating configuration?The direction that each person is facing is crucial when arranging the people.
In order to determine how many ways they can be seated in a row if both families want to sit together, imagine that two families with four members each attend a movie theatre.
Given that the arrangement is important, we will apply the permutation rule. We'll divide the remaining four into two groups of four each.
There are two different ways to arrange the groups so they can sit together.
2! = 2 * 1
2! = 2ways
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I really need an answer for this FAST so if anybody can answer id really appreciate it :)
both Square and Rectangle
because all squares are rectangles, but not all rectangles are squares. Hope this helps. :)
96 - y = 161 solve for y
Answer: -65
Step-by-step explanation:
96 - y = 161
-y = 161 - 96
-y = 65
y = -65
Option A: You are given $100 on the first day and then receive $10 each day for the month of February.
Option B: You are given one cent on the first day and that amount will double each consecutive day for the month of February.
Write a function rule to represent the total amount earned with Option A.
Write a function rule to represent the amount of money you will have earned with Option B.
The function rule to represent the total amount earned with Option A and earned with Option B are f(x) = 100 + 10x and f(x) = (1/100) * 2^x.
What is the function rule?
The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
For Option A, the total amount earned can be represented by the function:
f(x) = 100 + 10x
where x is the number of days in February (x = 28 for a standard non-leap year)
For Option B, the total amount earned can be represented by the function:
f(x) = (1/100) * 2^x
where x is the number of days in February (x = 28 for a standard non-leap year)
the above function will be in cents, to get dollar values divide it by 100.
hence, the function rule to represent the total amount earned with Option A and earned with Option B are f(x) = 100 + 10x and f(x) = (1/100) * 2^x.
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Circles centered at $A$ and $B$ each have radius 2, as shown. Point $O$ is the midpoint of $\overline{AB}$, and $OA
The distance between the two circles is 5.
The distance between two circles is the difference between the sum of their radii and the distance between their centers. In the given diagram, the radius of the circles centered at $A$ and $B$ is 2, and the distance between their centers is the length of $\overline{AB}$, which is 5. Therefore, the distance between the two circles is 5 - (2 + 2) = 5.
The distance between the two circles is 5.
The distance between two circles is the difference between the sum of their radii and the distance between their centers.
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find the equation of a line perpendicular to 2y=6-2x that passes through point (6,-7)
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]2y=6-2x\implies 2y=-2x+6\implies y=\cfrac{-2x+6}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -1 \implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1} \implies 1}}[/tex]
so we're really looking for the equation of a line whose slope is 1 and it passes through (6 , -7)
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{-7})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{ 1}(x-\stackrel{x_1}{6}) \implies y +7= 1 (x -6) \\\\\\ y+7=x-6\implies {\Large \begin{array}{llll} y=x-13 \end{array}}[/tex]
Kayden has 50 m of railing.
How much more railing does Kayden need
so that he can put railing all the way around
the roof garden?
12 m
3 m
7m
10 m
20 m
10 m
Not drawn accurately
Answer: Kayden needs 12 more meters of railing.
Step-by-step explanation:
To find the perimeter of the roof garden I added up all the numbers you listed (12m+3m+7m+10m+20m+10m) to get a total perimeter of 62 meters.
Since Kayden already has 50 meters of railing we can subtract that from the total he needs to get the remaining amount needed.
62m - 50m = 12 meters of railing remaining.
Big orange trucking is designing an information system for use in "in-cab" communications. It must summarize data from eight sites throughout a region to describe typical conditions. Compute an appropriate measure of central location for the variables wind direction, temperature, and pavement
Wind direction [Mode] is South west
The [Mean] temperature is
The [Bimodal] pavement is Dry Wet
From the question the first question is to determine the wind direction
Generally from the wind direction would be the data with the highest frequency on the wind column i.e the mode of the data, this because this variable(wind direction ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )
So
The mode is Southwest
This means that the wind direction is Southwest
From the question second question is to determine the temperature
Generally given that their are are no outlier that will skew the data we can obtain the temperature by calculating the mean for the temperature column
This is mathematically represented as
T = 89+86+....+93+93/8
T = 91
From the question, the first question is to determine the pavement
Generally from the pavement would be the data with the highest frequency on the pavement i.e the mode of the data, this because this variable(pavement ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )
From the table we see that the pavement that the pavement column is bimodal
So the mode is Dry Wet
This mean that the pavement is Dry Wet
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A car's value is $9,800.A sales person receives 5% commission if he
sells the car. How much would he obtain in commission from the sale of
that car.
The commission the salesperson would receive is $490.
What is a commission?
A commission is a payment made to an individual, such as a salesperson or agent, for services rendered or a good sold. The commission is typically a percentage of the sale or revenue generated. This percentage is known as the commission rate.
To find the commission a salesperson would receive from selling a car, we need to multiply the commission rate (5%) by the car's value ($9,800).
The commission rate is given as a percentage, so we need to convert it to a decimal to do the calculation. We can do this by dividing the percentage by 100.
So 5% = 5/100 = 0.05
Then to find the commission the salesperson would receive we multiply:
Commission = 0.05 * $9,800
Commission = $490
Hence, the commission the salesperson would receive is $490.
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STEM Osmium is the densest chemical element. A cubic centimeter of osmium has a mass of about 23 grams. If a chemist has 2,530 grams of osmium, about how many cubic centimeters does the chemist have?
Answer: To solve this problem, we can use the fact that a cubic centimeter of osmium has a mass of about 23 grams and the information provided about the chemist's amount of osmium.
First, we can divide the total mass of osmium by the mass of a cubic centimeter of osmium to find out how many cubic centimeters of osmium the chemist has. The equation would look like this:
2,530 grams / 23 grams/cubic centimeter = 110 cubic centimeters
So, the chemist has approximately 110 cubic centimeters of osmium.
It's worth mentioning that an exact value would require additional information as 23 grams per cc is an approximate value and also any impurities or loss of material in the sample also effect the total mass.
Step-by-step explanation:
Pressure =
force/area
A force of 70 newtons acts on an area of 20 cm?
berabils HBO
The force is increased by 10 newtons,
The area is increased by 10 cm?
Helen says,
"The pressure decreases by less than 20%"
Is Helen correct?
You must show how you get your answer.
Helen is not correct. The pressure decreases by 23.8% and not less than 20%.
Pressure = force/area
The initial pressure is 70 N / 0.2 m^2 = 350 Pa (Pascals). If the force is increased by 10 N and the area is increased by 10 cm^2, the new pressure is 80 N / 0.3 m^2 = 266.67 Pa
The difference in pressure between the initial and final states is 83.33 Pa (350 Pa - 266.67 Pa)To calculate the percentage change in pressure, we divide the change in pressure by the initial pressure and multiply by 100:
(83.33 Pa / 350 Pa) * 100% = 23.8%So Helen is not correct. The pressure decreases by 23.8% and not less than 20%.
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What is 2(−2x+1)−5x+2= -23
Answer:
Step-by-step explanation:
To solve this equation, you will need to manipulate the equation in order to isolate the variable x on one side of the equation. Here is one way you could solve this equation:
Begin by distributing the 2 on the left side of the equation: 2(-2x+1) = -46 + 2x.
Next, distribute the -5 on the right side of the equation: 2(-2x+1) = -23 - 5x.
Combine like terms on the right side of the equation: 2(-2x+1) = -5x - 23.
Combine like terms on the left side of the equation: -4x + 2 = -5x - 23.
Add 4x to both sides of the equation to isolate the variable on one side: 2 = -x - 23.
Add 23 to both sides of the equation: 25 = -x.
Finally, divide both sides of the equation by -1 to solve for x: x = -25.
Therefore, the solution to the equation is x = -25.
Answer:
x=3
Step-by-step explanation:
2(−2x+1)−5x+2= -23
Distribute
-4x+2-5x+2=-23
Combine like terms
-9x+4=-23
Subtract both sides by 4
-9x=-27
Divide both sides by -9
x=3
Hope this helps :)
What is an example of an absolute value equation?
The absolute value of a given number is said to be the positive version of that number. For example, the absolute value of -5 is + 5, which can be written as: − I5 | = 5. Other examples of absolute values of numbers: |−9| = 9, |0| = 0, − |−12| = −12, etc.
Absolute Value Equation:
An absolute value function is an algebraic function whose variables lie within the absolute value bar. This function is also called the modulus function, and the most commonly used form of the absolute value function is f(x) = |x|, where x is a real number. In general, the absolute value function can be expressed as f(x) = a |x - h| + k, where a represents how much the graph stretches vertically, h represents the horizontal shift, and k represents the vertical shift of the graph for f(x) = |x|. represents If the value of 'a' is negative, the chart opens downwards, if positive, the chart opens upwards.
Now that we understand the meaning of the absolute value function, we understand the meaning of the absolute value equation f(x) = a |x - h|. + k and how the values of a, h, and k affect the value of the function.
'a' value determines how the graph of f(x) is stretched vertically.'h' value specifies horizontal displacement'k' value specifies the vertical displacementThe vertex (x) = a |x - h| + k of the absolute expression f is given by (h, k). You can also use the vertices of f(x) = a |x - h| Find + k using the formula (x - h) = 0 . When determining the value of x, substitute that value into the formula to find the value of k.
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Can you help me with this
Step-by-step explanation:
to find the equation of any line we have to first find the slope. the slope formula is:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
our slope here would be 8/13
now we input the points in the equation
y = mx + b
then we find b to be -3(7/13)
so the final equation would be:
[tex]y = \frac{8x}{13} - 3( \frac{7}{13} )[/tex]
the graph shows the total weight of abox of cereal, y, as a function of the amount of cereal in the box, x. what is the weight of the box when it is empty?
Answer:
3
Step-by-step explanation:
3x + 2y = 5
x = 2y + 7
Answer:
I hope this helps you...
please mark me as brainliest..
Solve the equation 2^x=1/32•x=
Answer:
2^x=1
x=0
32•x=0
32.0=0
maybe
How to find the slope of a line that goes from (10,40) to (0,0)
What is the equation of the parabola opening upward with a focus at (9,27) and a directrix of y =11
A. F(x) = 1/16(x-9)^2 + 19
B. F(x) = 1/16(x+9)^2 -19
C. F(x) = 1/32(x+9)^2 -19
D. F(x) = 1/32(x-9)^2 + 19
The condition of the parabola opening upward with a center at and a directrix will be f(x) = 1/32(x - 9)^2 + 19. so alternative D option correct.
What is the equation of the parabola?
The equation can be written as
f(x) = 1/(4p)(x -h)^2 +(k-p)
where (h, k) is the focus, and p is half the distance between focus and directrix.
Here, We have the upward parabola;
Focus at (9,27)
P/2 = 27-19 = 8 Nature of focus
P = 16
so (x-9)^2 = 2py = 32y
y = 1/32(x-9)^2 + 19
The condition of the parabola opening upward with a center at and a directrix will be f(x) = 1/32(x - 9)^2 + 19. so alternative D option correct.
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Susan has a rectangle and a right triangle.
• The length of the rectangle is 4 more than its width, w.
.
• The length of the shorter leg of the triangle is equal to the rectangle's
width.
• The length of the longer leg of the triangle is twice the length of the
rectangle.
Answer:
A. 2w² + 8w
Step-by-step explanation:
rectangle: A = w(w+4) = w² + 4w
triangle: A = 1/2(2(w+4)(w)) = 1/2(2w+8)(w) = 1/2(2w²+8w) = w² + 4w
Total Area = w² + 4w + w² + 4w = 2w² + 8w
$7,400 at 10.5% for ¼ years
Central Park in New York City is rectangular with a length of 2.5 miles and a width of 0.5 mile. During an afternoon, its population density is about 15 people per acre. Find the number of people in the park that afternoon. One acre is equal to 1640 square mile.
On solving the provided question, we can say that Surface Area of central park = 2.5 × 0.5 = 1.25 square mile
what is surface area ?An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).
Surface Area of central park = 2.5 × 0.5 = 1.25 square mile
1 acre = 1/640 square mile
1.25 square mile = 1.25 ÷ 1/640 = 800 acre
Number of people in the park = 800 ÷ 15 = 53.3 ≈ 53 people
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Analyze and Persevere
Javi is building
a birdhouse. Each of the four walls of the
birdhouse needs to be 5.5 inches long.
Javi has a piece of board that is 24.5 inches
long. Is the board long enough to be
cut into the four walls of the birdhouse?
Estimate using compatible numbers.
Answer:
yes, the board is long enough
Step-by-step explanation:
5.5 in x 4 walls = 22 inches
The board is 24.5 in, so there is enough.
24.5 > 22, there is an extra 2.5 in left over.
HELP THIS IS MY LAST PROBLEM
The percentage markup the store made before selling those speakers
are 136.33%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A store bought a set of speakers for $82.86 and sold them for
$195.82.
So, The amount of profit is $(195.82 - 82.86).
= $112.96.
Now, The markup percentage can be obtained by the concept of the percentage change.
Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,
= (112.96/82.86)×100%.
= 136.33%.
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What is the slope of 5x 2y =- 3?
The slope of 5x 2y =- 3 is -5/2.
To find the slope of the equation 5x 2y =- 3, we need to rearrange it into the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).
We start by rearranging the equation 5x 2y = -3 so that all the terms with y are on one side and all the terms with x are on the other side.
5x -2y = -3
Now, we divide both sides by -2 to isolate y.
-5x/2 = y + 3/2
Finally, we subtract 3/2 from both sides to get the equation in the slope-intercept form.
-5x/2 = y - 3/2
Therefore, the slope of the equation 5x 2y = -3 is -5/2.
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