this is a question of set of equations and solution is as follows,
Williamston Daily newspaper started printing newspaper.
Three years ago they had 5900 subscribers.
every month there is an increase of 66 new subscribers.
n is the number of months the paper has been printed.
so, the linear model will be
B= early subscriber + number of month × increments
B= 5900 + n × 66
B= 66 n + 5900
Example - subscribers after 3 months,
n = 3
= 66 x 3 +5900
= 198 + 5900
= 6000
set of equations
A system of equations is a set or collection of equations that you deal with all together at once. Linear equations are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
Linear equations
Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, a and b are real numbers.
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Does there seem to be a relationship between which type of book her friends like best and the number of books they read this month?
Based on the two-way table, there seems to be a relationship between the type of books Julia's friends like best and the number of books they have read this month, A. Yes, because those who like fiction read one book at a rate four times that of those who read non-fiction books.
What is a two-way table?A two-way table, also called a contingency table, is a statistical table that shows the observed frequency for two variables.
The rows of a two-way table indicate one category and the columns indicate the other category.
For instance, based on the two-way table, one can observe that 80% of Julia's friends prefer fiction while 20% prefer non-fiction.
Among those who read 1 book this month, 80% read fiction against 20% who read non-fiction. Similarly, among those who read 2 books this month, the same 80% read fiction against 20% who read non-fiction.
The number of students who prefer fiction = 60
The number of students who prefer non-fiction = 15
The number of fiction-preferring students who read 1 book this month = 40, which is 80% of the total (40/50 x 100).
The number of fiction-preferring students who read 2 books this month = 20, which is 80% of the total (20/25 x 100).
Thus, we can conclude that Option A is correct.
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Question Completion:The Two-way Table:
Read 1 book Read 2 books Total
Prefer fiction books 40 20 60
Prefer non-fiction books 10 5 15
Total 50 25 75
I want to solve the math problem
Answer:
Here are a few of the factor pairs. The rest you can find in the pdf below.
Pls help me with this question plssss
The average rate of the given function is 2.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is h(x)=-x²-x+5 and the interval is -6≤x≤2.
x={-6, -5, -4, -3, -2, -1, 0, 1, 2}
y=-x²-x+5
When x=-2
y=-(-2)²-(-2)+5
y=-4+4+5
y=5
When x=-1
y=-(-1)²-(-1)+5
y=5
When x=0
y=5
When x=1
y=-1-1+5
y=3
When x=2
y=-(2)²-(2)+5
y=-1
Now, rate using (1, 3) and (2, -1), we get
m =(-1-1)/(2-3)
m=2
Therefore, the average rate of the given function is 2.
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HELP PLEASE!! there is a .03 chance that Kelly will win the raffle at school. What is the probability that Kellie will not win the raffle?
Answer:
Fraction: 97/100
Decimal: 0.97
Percentage: 97%
Step-by-step explanation:
Hope this helped.
97% you just need to substract
(-3/4)x + 25 = (1/8)x - 3
Find x and show your work
No links please!
Step one =
-3/4x + 25 -1/8x = 1/8x = 1/8x -3 - 1/8x
-7/8x + 25 = -3
Step two =
-7/8x + 25 - 25 = -3 - 25
-7/8x = -28
Step three =
(8/-7) * (-7/8x) = (8/-7) * (-28)
Answer
X = 32
Math help????????????
8.
Choose the linear inequality that describes each graph.
A. y > – 3x + 5
B. y > – 5x – 3
C. y > – 5x + 3
D. y < – 5x + 3
Answer:
y > -5x + 3
Step-by-step explanation:
Answer:
y > –5x + 3
Step-by-step explanation:
we know that
1) The solution of the inequality is the shaded area above the dashed line
so
The linear inequality could be
y > –5x – 3
y > –5x + 3
y > –3x + 5
2) The slope of the dashed line is negative ----> the three options have slope negative
3) The y-intercept of the dashed line is (0,3)
therefore
The linear inequality is
y > –5x + 3
...............................................................................................................................................
Answer:
Step-by-step explanation:
To find the linear inequality , Let pick two points from the graph
Lets pick (0,3) and (1,-2)
Lets find out slope using the points
Slope m= -5
y intercept b= 3
Equation of the line is y=mx+b
Now we look at the shaded part. we use test point (0,0)
(0,0) is not in the shaded region
0 >3 is false
Someone please help me
Answer:first one .
Step-by-step explanation:
n/a
You randomly choose one shirt from the shelves. Find the probability of the event. 2 green 4 blue 1 white 2 brown 1 red The probability of not choosing a white shirt is
Answer:
the total number of shares in the shelf is 11 and their two white shirts in the shelf so the probability of not choosing a white shirt is the total which is 11 minus the two white shirts which will give you nine
the probability of a particular site is given by the formula
required outcome / sample space and the sample space here is 11.
Therefore, it is 9/11 that is the probability of not choosing a white shirt.
Ava has a large-screen TV. The TV has a screen with a 51-inch diagonal and a width of 45 in. The base of the TV is 4 in. from the bottom of the screen. 45 in. h in. 51 in 4 in. what is the total height,h,in inches, of the TV?
Answer: Height: 24.9 inch, Width: 44.3 inch
Step-by-step explanation:
The total height of the TV is given by H = 28 inches
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , We can use the Pythagorean theorem to find the height of the TV. Let h be the height of the screen in inches. Then, we have:
h² + 45² = 51²
Simplifying and solving for h:
h² = 51² - 45²
h² = 2601 - 2025
h² = 576
Taking square roots on both sides , we get
h = √(576)
h = 24 inches
Therefore, the height of the screen is 24 inches.
To find the total height of the TV, we need to add the 4 inches from the base to the height of the screen:
Total height of the TV , H = 24 + 4
Total height of the TV , H = 28 inches
Hence , the total height of the TV is 28 inches.
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The complete question is attached below :
Ava has a large-screen TV. The TV has a screen with a 51-inch diagonal and a width of 45 in. The base of the TV is 4 in. from the bottom of the screen. what is the total height,h,in inches, of the TV?
Evaluate the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1)
The gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1)
This gradient is a vector that points in the direction of the greatest rate of increase of the function f(x, y, z) = log(x2 + y2 + z2). To evaluate this gradient, the partial derivatives of the function with respect to x, y, and z must be calculated.
The partial derivative of the function with respect to x is (2x / (x2 + y2 + z2)). When x is 1, this simplifies to 2/1. Similarly, the partial derivative with respect to y is 0, and the partial derivative with respect to z is (2z / (x2 + y2 + z2)), which simplifies to 2/1 when z is 1. Therefore, the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1).
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Cindy was using her cell phone app to record the wait time for various rides at an amusement park. Below are the times that she recorded in minutes. 20, 34, 40, 41, 50, 50, 53, 56, 57, 58, 64, 70 Which histogram represents the results?
Answer:
D I took this today math 6th grade
Step-by-step explanation:
Isabella is 30 miles into a 70-mile backpacking trip in the wilderness.
Isabella can hike 8 miles per day. How many more days does Isabella
need to finish?
Isabella needs how
more days.
Answer: Five Days
Step-by-step explanation:
Isabella can hike 8 miles per day. So:
[tex]\frac{30miles}{8miles} = 3.75 days[/tex]
It will take:
[tex]\frac{70 miles}{8 miles} = 8.75 days[/tex]
..in total to hike 70 miles.
So, subtracting the two values:
[tex]8.75 - 3.75 = 5[/tex]
She still needs to hike five days in order to finish the trail.
The local store sells small pieces of candy for $0.15 each. Shondra spent
$18.00 on this candy for her class party. The equation below can be used to
determine how many pieces of candy, c, that Shondra bought.
0.15 c = 18.00
How many pieces of candy did Shondra buy for the class party?
Answer:
120 pieces of candy
Step-by-step explanation:
To find c, you need to divide your know values, 18.00 and .15. So 18/.15 = 120.
Shondra bought 120 pieces of candy.
Marvin used the money he received from high school graduation gifts to start a new savings account with a simple interest rate of 7. 5%. After 12 years, the account had earned $288. If there were no other deposits or withdrawals, what was the original amount placed in the account?
The original amount placed in the account is $320.
What is simple interest ?
Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
The simplest way to compute interest is as a percentage of the principal. For instance, if you borrow $100 from a friend and agree to pay back the money with 5% interest, the interest you would have to pay would simply be 5% of $100, or $5.
Simple Interest is the amount repaid for using the borrowed funds over a predetermined amount of time.
The interest earned is calculated as follows:
I = P*r*t
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Marvin is saving money in a savings account with a simple interest rate of r=7.5%=0.075. It's known that after t=12 years, the account had earned $288 interest.
Substituting in the formula:
288 = P*0.075*12
Calculating:
288 = 0.9P
Dividing by 0.9:
P = $320
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-2x < -6
Hi, can someone please explain this question?
The answer is x > 3 but I do not know how.
Please explain
Answer:
x > 3
Step-by-step explanation:
This is based on the concept 'when a negative number is multiplied to both sides of the inequality, the sign gets reversed. For example, x > - 2 when it is multiplied by - 1, it becomes - x < 2.'
*only when the number is -ve.
Similarly, in this question, multiply both sides by - 1.
2x > 6
x > 6/2
x > 3
For more : take - 5 > - 2, as you know
Note that 5 is actually greater than 2. To make this true we change signs
state four roles of nitrogen in plants
Answer:
Nitrogen is needed for plant growth the energy to grow, and produce fruit or vegetables. Nitrogen is part of the chlorophyll molecule, which gives plants their green color and is involved in creating food for the plant.
With too much nitrogen, plants produce excess biomass, or organic matter, such as stalks and leaves, but not enough root structure.
Plants take nitrogen from the soil by absorption through their roots as amino acids, nitrate ions, nitrite ions, or ammonium ions. Plants do not get their nitrogen directly from the air.From here, various microorganisms convert ammonia to other nitrogen compounds that are easier for plants to use.
Step-by-step explanation:
do these form a proportion? please help me!!!
Answer:
yes they do
Step-by-step explanation:
both equal 1/3
8/24 = 1/3
5/15 = 1/3
1/3 = 1/3
Answer:
No, the ratios won't
Step-by-step explanation:
8/25 and 5/15.
they have Similarities, but no proportions.
have a good day!
Theoretically if you roll a number cube 36 times how many times would you expect to roll the number one?
Answer:
6
Step-by-step explanation:
Since its theoretical, i believe itll be 1/6 x 36 which is 6 times.
hope I helped :)
Answer:
If you were to roll the cube 36 times, theoretically, you would expect that number 1 will be rolled 6 times.
Step-by-step explanation:
The probability of getting a 1 after rolling the number cube is equal to [tex]\frac{1}{6}[/tex]. Now we just multiply the probability by the number of rolls and get...
[tex](\frac{1}{6})(36) = 6[/tex]
Therefore, if we were to roll the cube 36 times, theoretically we would expect that number 1 will be rolled 6 times.
need some help with the screenshot
The graph of the function f(x) = 2x² + 2x - 2 is plotted and attached
How to plot the graph of the equationThe graphs of the function is plotted by making a table of value for a number of the x values and the corresponding y values as done below
Using the function the table is created as f(x) = 2x² + 2x - 2
For x = -4, y = 2 * (-4)² + 2 * (-4) - 2 = 22
For x = -2, y = 2 * (--2)² + 2 * (-2) - 2 = 4
For x = 0, y = 2 * (0)² + 2 * (0) - 2 = -2
For x = 2, y = 2 * (2)² + 2 * (2) - 2 = 10
For x = 4, y = 2 * (4)² + 2 * (4) - 2 = 38
The table of values
x y
-4 22
-2 4
0 -2
2 10
4 38
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what is the legend of variables of combined gas law
The combined gas law for a gas is discussed below.
What is a gas?Gas is one of the four fundamental states of matter – the others being solid, liquid, and plasma. A pure gas may be made up of individual atoms, elemental molecules made from one type of atom, or compound molecules made from a variety of atoms.Given is the combined gas law.
The ideal combined gas law is given by →
PV = nRT
Where -
{P} = pressure {T} = temperature {V} = volume
{n} = number of moles {R} = gas constant
Non ideal gases are often modelled by the Van der Waals equation as →
(p + n²a/V²)(V - nb) = nRT
Where -
{a} and {b} = constants for a particular gas
{p} = pressure {v} = volume
{n} = number of moles {t} = temperature
{R} = gas constant
Therefore, the combined gas law for a gas is discussed above.
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4. The probability that a student is in a category can be approximated by the relative frequency. To the nearest hundredth, what is the probability that a randomly selected student is a girl who wants to go skating?
Josh has 27 signed baseballs. He places the baseballs equally on 3 shelves. How many baseballs are on each shelf?
Answer:
9
Step-by-step explanation:
27 divided by 3 equal 9
calculate the sum of the interior angles of the following polygon 6 sided 15 sided and 3 sided
Answer:
720°, 2340°, 180°
Step-by-step explanation:
Look at the attached image of a regular hexagon. I drew all possible lines from a vertex to other vertices (AC, AD, AE). Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.
♦ Four triangles have an angle sum of 180° x 4 = 720° (180° in each triangle).
See attached image2 to see what happens in an octagon. There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.
What about a 15-sided regular polygon? How many triangles would be formed by putting in all the diagonals coming from one vertex? There will be 2 fewer triangles than the number of vertices, 13.
♦ The total of interior angle measures in a 15-gon is 13(180°) = 2340°
♦ A polygon with 3 sides is a single triangle; interior angle sum = 180°
please help I’m stuck !!!
Answer:
D) 4
Step-by-step explanation:
Take the square root of Miriam's starting bacteria to get your answer [tex](\sqrt{16})[/tex]because the exponent in Jessica's equation is the square of Miriam's.
The magnolia trees purchased for planting at the school are 3 feel tall. Research shows that these types of trees grow at a average of 3/4 per year.
I made a equation y=3/4x+3
Please help me determine the hight of the tree in 3 years!
Using the linear function given, the tree will have a height of 5.25 feet in 3 years
What is Linear FunctionLinear functions are mathematical functions where the output values are in direct proportion to the input values. A linear function has the form
y = mx + c, where m is the slope of the line and c is the y-intercept.
In this problem, the function given already models y = mx + c
Since y = 3/4x + 3;
The height of the tree in 3 years can be solved as;
y = 3/4(3) + 3
y = 9/4 + 3
y = 5.25
The height of the tree in 3 years is 5.25 feet
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PLEASE HELP I SET TO 14 POINTS AND WILL MARK BRAINLEST❤️ thank youuu!
Answer:
E
Step-by-step explanation:
Imagine you cut the figure into two rectangles. This would leave you with a rectangle with the following variables(h=4, w=3, l=9), and a rectangle with the following variables(H=7, l=3 w=3)
What is the value of the expression below? 2³(3³ – 6) +4 A. 214 B. 172 C. 28 D. 200
Answer:
The answer is C. 28
Im 96% sure
Solve the expression below, when y = 6
5 ( 18 - y)
Step-by-step explanation:
5 (18 - y) when y=6
5 (18 - 6)
5 × 18 - 5× 6
90 - 30
60
Answer:
-44
Step-by-step explanation:
7×-5y
7(-2)-5(6)
-14-30
-44
Given a cone with a height of 6 cm and a base diameter of 6 cm, what is the volume of the cone? Use 3.24 for pi
Answer: 565.2cm3
Step-by-step explanation:
The volume of the cone with a height of 6 cm and a base diameter of 6 cm is 169.56 cubic cm.
How to find the volume of a right circular cone?Suppose that the radius of the considered right circular cone is 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
The right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.
Given a cone with a height of 6 cm and a base diameter of 6 cm.
r = 3 cm
h = 6 cm
The volume of the cone
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
[tex]V = \dfrac{1}{3} \times 3.14 \times3 ^3 \times 6 \: \rm unit^3\\\\V = 3.14\times 54\\\\V = 169.56[/tex]
Therefore, the volume of the cone is 169.56 cubic cm.
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