Answer:
-2x + 3y = 6
Rearrange
-2x + 3y - 6 = 0
ax + by + ca = 0
a = -2
b = 3
If ca was a typo, and you meant c, then c = -6.
However, if ca wasn't a typo, then:
ca = -6
-2c = -6
c = -6 / -2
c = 3
Write 17857000012 in words
Answer:
Seventeen billion, eight hundred fifty-seven million and twelve.
Step-by-step explanation:
Answer:
17,857,000,012 = 17 billion 857 million 12
Step-by-step explanation:
Bye lad!
As part of a survey, 300 girls were asked to name their favorite sport. 12 of the girls named bowling as their favorite. Based upon the results, how many of the next 200 girls surveyed would you expect to choose bowling as their favorite sport?
The number of girls in the next 200 girls surveyed that would choose their favorite sport as bowling are 8 girls.
What is percentage?We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.
Given that 300 girls were asked to name their favorite sport. 12 of the girls named bowling as their favorite.
The percentage of girls that selected the sport is thus:
12/ 300 (100) = 4%
For the next 200 girls, calculate the 4% of the number to get the number of girls who like bowling:
200 (4%) = N
N = (200)(4/100)
N = 8
Hence, the number of girls in the next 200 girls surveyed that would choose their favorite sport as bowling are 8 girls.
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If the center of the circle is Point A, what is the difference between the circumference of the circle and the perimeter of the triangle, to the nearest tenth of a unit?
A 20.6 units
B 28.2 units
C 80.7 units
D 95.5 units
The difference between the circumference of the circle and the perimeter of the triangle is 28.2 units. (Option B)
To find the length of each side of triangle, the distance is calculated between the vertices using the formula:
d = √((x2 – x1)^2 + (y2 – y1)^2)
Hence,
AB =√((-4 – 0)^2 + (9 – 0)^2) = 9.85 units
AC = √((9 – 0)^2 + (4 – 0)^2) = 9.85 units
BC = √((9 – (-4))^2 + (4 –9)^2) = 13.93 units
Hence, the perimeter of the triangle = 9.85 + 9.85 + 13.93 = 33.6 units
As AB and AC is the radius of the circle, the circumference of the circle is:
C = 2πr = 2π(9.85) = 61.8 units.
Hence, the difference between the circumference of the circle and the perimeter of the triangle = 61.8 – 33.6 = 28.2 units.
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based on the graph how many tiles are im figure 0
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
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= The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 82. If state A has more counties than state B, how many counties does each state have? State A has counties.
State A have 42 counties and State B have 40 counties.
Define Linear equation
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant
Let,
x = The number of counties of state B
x + 2 = The number of counties of State A
It's given, The sum of counties of state A and state B is 82
so, the equation become is linear.
The linear equation will be,
x + (x + 2) = 82
solve for x,
2x + 2 = 82
2x = 82 - 2
2x = 80
x = 80/2
x = 40 (counties of State B)
put the value in x in x + 2,
40 + 2 = 42 (counties of State A)
Therefore, State A have 42 counties and State B have 40 counties.
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2x + 4y = 16
4x + 8y = -16 he chooses to eliminate the variable y
Answer:
These system of equations have no solution.
Step-by-step explanation:
We need to solve the system of equations
\(2x + 4y = 16\\4x + 8y = -16\)
by eliminating variable y
Let:
\(2x + 4y = 16--eq(1)\\4x + 8y = -16--eq(2)\)
Multiply eq(1) by 2 and subtract both equations
\(4x + 8y = 32\\4x + 8y = -16\\- \ - \ \ \ \ \ \ \ +\\---------\\0x+0y=48\\0\neq 48\)
As 0≠48
So, these system of equations have no solution.
A polynomial is
if its only factors over the integers are 1 and itself.
Answer: Prime
A polynomial is prime if its only factors over the integers are 1 and itself.
==============================================================
Explanation:
Think of the idea of factoring whole numbers like factoring 36 into 6*6 which further breaks down into (2*3)*(2*3) = 2^2*3^2. This shows that 36 is composite and not prime.
Something like 7 is prime because the only factors are 1 and itself.
This idea extends into polynomials as well.
Something like x^2+4x+4 factors to (x+2)(x+2) which shows it is not prime. On the other hand, the polynomial x^2+3x+5 is prime over the integers because we cannot factor it like the previous example. The only factors here are 1 and itself.
Factoring is handy to help determine roots of a polynomial. However, other tricks could be used such as the quadratic formula or using numerical approximation techniques.
(3.76x 10-8 )-(2.94 x 10-8)
Write your answer in scientific notation
27. Бос орындарды толтырыңдар: 20 6 43 4 10 10 1) 60 11 11 - : 2) 13 - : 3 - 2 5 3. 10 9 . 10 3
Calculate the surface area and volume for each cylinder.
Surface Area = (² x 2) + (nd x h)
2 x h
Volume
2.
r = 1.75 in h = 2.2 in
Surface Area =
Volume=
d=4.3 mm h= 2 mm
Surface Area =
Volume=
Find the volume
The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =
The given dimensions for cylinders are:
r = 1.75 in, h = 2.2 in Surface Area of Cylinder:
S = 2πr² + 2πrh
The surface area formula of a cylinder is S = (2 * pi * \(r^2\)) + (2 * pi * r * h).
S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)
= 44.33 + 38.49
= 82.82 square inches.
Volume of Cylinder: V = πr²h
The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.
Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.
Volume = π(1.75)²(2.2)
Volume ≈ π(3.0625)(2.2)
Volume ≈ 6.7375π cubic inches
The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm
Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.
Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.
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You purchase a new car for $24,000. If you obtain a 5 year bank loan at 2.75% compounded monthly, what is your monthly loan payment?
Answer:
The monthly loan payment is of $458.88.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
\(A(t) = P(1 + \frac{r}{n})^{nt}\)
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Amount owed after 5 years:
Loan of 24000 means that \(P = 24000\)
5 years means that \(t = 5\)
Interest rate of 2.75% means that \(r = 0.0275\)
Compounded monthly means that \(n = 12\)
The amount is A(5). So
\(A(t) = P(1 + \frac{r}{n})^{nt}\)
\(A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}\)
\(A(5) = 27533\)
What is your monthly loan payment?
$27,533 in 5 years = 5*12 = 60 months. So
27533/60 = 458.88
The monthly loan payment is of $458.88.
Please answer if you can
Answer:
y = 15°
∠A = 78°
∠B = 68°
∠BAC = 34°
Step-by-step explanation:
∠BAC = 180° - 146° = 34°
the sum of the interior angles of any triangle is 180°
5y + 3 + 4y + 8 + 34° = 180°
combine like terms:
9y + 45° = 180°
subtract 45° from each side of the equation:
9y = 135°
divide both sides by 9:
y = 15°
∠A = 5(15) + 3 = 78°
∠B = 4(15) + 8 = 68°
Zayn and Attia are thinking of a number each. What is Attia's number? My number is greater than 2. 12 and 20 are multiples of my number. My number is the 11th multiple of Zayn's number.
Answer:
Me: 60
Zayn and Attia: 6
Step-by-step explanation:
12 = 2 × 2 × 3
20 = 2 × 2 × 5
LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60
My number is 60.
Zayn's and Attia's numbers are 6.
How is Σx^2 read as?
Answer:
The Σx2 factor represents the sum of the squared x values
Step-by-step explanation:
like hyperpop?
i do
have a good day
you look nice :)
Find the value of the missing angles in the following figures.
Show working out
Answer:
n° = 69°
Step-by-step explanation:
n° = 69°
since AY = 111° , it is equal to XD , and XY = 180°.
180° - 111° = 69°
XB = 111° , XA = 69° , CY or YC = 111° , YD = 69°
I just confused myself, im not sure if this is helpful but I tried
write an equation in slope intercept form that passes through the given point and is perpendicular to the graph of given equation (1,-2) y=5x+4
The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.
The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.
To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.
The negative reciprocal of 5 is -1/5.
Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:
y - y1 = m(x - x1)
Substituting the values:
y - (-2) = (-1/5)(x - 1)
Simplifying:
y + 2 = (-1/5)(x - 1)
To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:
y + 2 = (-1/5)x + 1/5
Subtracting 2 from both sides:
y = (-1/5)x + 1/5 - 2
Combining the constants:
y = (-1/5)x - 9/5
Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
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PLEASE HELP AS SOON AS POSSIBLE
A) The Slope is: 2
B) The interpretation of the slope is that there are two races for each number of track meet.
C) The y-intercept from the graph is at: y = 4
D) Equation of the line is: y = 2x + 4
How to find the slope of the linear graph?The general form of equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
From the given graph, we can see that the slope is gotten from the formula:
A) Slope = (y₂ - y₁)/(x₂ - x₁)
Thus:
Slope = (10 - 4)/(3 - 0)
Slope = 6/3
Slope = 2
B) The interpretation of the slope is that there are two races for each number of track meet.
C) The y-intercept from the graph is at: y = 4
D) Equation of the line is:
y = 2x + 4
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Identify the axis of symmetry, vertex, and range for the quadratic function.
If [g] = 18, which values for g are true?
Answer:
its false cause there is nothing isacly to answer to 18
Saba's dance class is 3 miles from her home. Her music class is 12 miles from her
home. Write an equation that shows the number of times farther Saba's music
class is from her home than her dance class is from her home.
Answer:
The number of times Saba's further is 4, because 12/3 = 4
Step-by-step explanation:
what is the answer to 1'000+900
Answer:
1900
Step-by-step explanation:
1000+900=1900
Robert can mow a 600 square lawn in 1 hour and 20 minutes. How many lawns in the same size's can he mow in 8 hours?
Please please please anyone help me with this ?!!!): thank you to anyone for help <3 I appreciate it so much.
Answer:
11.53?
Step-by-step explanation:
I cant really tell from the blurry photo. Try a calculator?
The difference between the sample value and the true value in the population under study is referred to as _______.
Answer:
a. sampling error
Step-by-step explanation:
These are options for the question below;
a. sampling error
b. random error
c. measurement error
d. chance correlation
e. none of these
Sampling error can be regarded as statistical error, this do occur when the person analysing the data just select portion out of the data, which doesn't fully cover for the whole population of the data, and after the analysis the gotten result doesn't resemble the kind of result that could have gotten if the whole population of Data is used. It occurs where there is more difference exist between population parameter and a sample statistic.
Mathematically sampling error can be calculated using below formula
Sampling error= Z √[p(1-p)/n] [1-√(N/n)
Where
N= population size
n=sample size
Z= score for the selected confidence level
P= proportion of people surveyed
It should be noted that The difference between the sample value and the true value in the population under study is referred to as sampling error
What is the answer to this photo
The required number of tubs are 17.55 tubs.
How to find number of tubs?To solve the problem, we need to find the total amount of ice cream used in ounces and then convert it to pounds to find the number of tubs used.
Number of scoops for regular cones = 2 scoops/cone
Number of scoops for large cones = 3 scoops/cone
Total number of scoops of ice cream used for regular cones = 2 scoops/cone x 234 cones = 468 scoops
Total number of scoops of ice cream used for large cones = 3 scoops/cone x 156 cones = 468 scoops
Total number of scoops of ice cream used = 468 scoops + 468 scoops = 936 scoops
Total amount of ice cream used in ounces = 936 scoops x 3 ounces/scoop = 2808 ounces
Total amount of ice cream used in pounds = 2808 ounces / 16 ounces/pound = 175.5 pounds
Number of tubs of ice cream used = 175.5 pounds / 10 pounds/tub = 17.55 tubs
Rounding up to the nearest whole number, we get:
Answer: (C) 17.55 tubs.
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PLS HELP I GIVE BRANLIEST GIVING 15 PTS
Answer:
Hello!! It's C
Step-by-step explanation:
An integer is a whole number; a number that is not a fraction. And a additive integer is two integers whose sum is zero are called additive inverses of each other. They are also called the negatives of each other. So -7 - 7 is 0. Hope this helped a bit!!!!! p.s tell me if i'm wrong! ❤️
1. Each roll of black ribbon has 3 2/3 yards of ribbon. If Amanda has 4 1/2 rolls of black ribbon, how many total yards does amanda have
find the missing angle.
Answer choices: 123 58 122 115
Under ideal conditions a certain bacteria population is known to double every four hours. Suppose that there are initially 50 bacteria.
(b) What is the size of the population after t hours?
(c) What is the size of the population after 17 hours? (Round your answer to the nearest whole number.)
Answer:
(b) a = 50 * 2^(t/4)
(c) 951
Step-by-step explanation:
After t hours
a = 50 * 2^(t/4)
After 17 hours
a = 50 * 2^(17/4)
a = 50 * 2^(4.25)
Use calculator
a = 951.3656920022
Rounded
a = 951
Does -3 and -2 make a right triangle
Answer:
There is no such thing as negative distances. In order to do Pythagoras theorem you need to know which one is the hypotenuse