Answers
Step by step solution:
The y intercept is found when x is 0
The slope is found by difference of y over difference of x(from 2 points)
Related Questions
Convert the following equation
into standard form.
y = -7x/2 - 3
Answers
y = -7x/2 - 3
y+3 = -7x/2
2y + 6 = -7x
7x + 2y = -6
Final possible answers: 7x + 2y = -6 or
6 = -7x-2y
Answer:
7x + 2y = - 6
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y = - \(\frac{7}{2}\) x - 3 ( multiply through by 2 to clear the fraction )
2y = - 7x - 6 ( add 7x to both sides )
7x + 2y = - 6 ← in standard form
Suppose x is any positive number.
Circle 1: center (0, 0) and radius 2x
Circle 2: center (0, 0) and radius 10x
Why is circle 1 similar to circle 2?
Answers
Answer:
Step 1: Determine why circle 1 is similar to circle 2
The reason why circle 1 is similar to circle 2 is that they both expand at the same rate. While x grows larger, both circle 1 and circle 2 grow at a proportional rate. Circle 2 grows is 5 times bigger than circle 1 given any value 5.
When x = 3: circle 1 = 6 and circle 2 = 30
When x = 10: circle 1 = 20 and circle 2 = 100
Answer:
Circle 2 is a dilation of circle 1 with a scale factor of 5.
Step-by-step explanation:
Took the quiz and got a perfect score :)
On one day in an ice cream store, 48% of the cones they sell are chocolate. What is 48% written as a decimal?
Answers
Answer:
48% written as a decimal is 0.48.
Step-by-step explanation:
Conversion of a percentage to decimal:
To realize the conversion of a percentage to decial, we must divide the percentage by 100.
For example, 20% as a decimal is 20/100 = 0.1.
So
What is 48% written as a decimal?
Dividing by 100
48/100 = 0.48
48% written as a decimal is 0.48.
Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.
r=0.543, n=25
a. Critical values: r = ±0.396, no significant linear correlation
b. Critical values: r = ±0.396, significant linear correlation
c. Critical values: r = ±0.487, significant linear correlation
d. Critical values: r = ±0.487, no significant linear correlation
Answers
Answer:
a. Critical values : r = ±0.396, no significant linear correlation.
Step-by-step explanation:
The critical value is 0.396 and test statistic is 0.543. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case test statistics value is greater than critical value then we should accept the null hypothesis.
Can anyone help me with this?
Answers
a. The approximate value of the y-intercept is
b. The approximate value of the slope is
c. The expected number of cones of ice cream when the temperature is 30°C is 90°C.
How to determine the y-intercept and slope of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (100 - 60)/(45 - 5)
Slope (m) = 40/40
Slope (m) = 1
At data point (5, 60) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 60 = 1(x - 5)
y = x - 5 + 65
y = x + 60
Part a.
Based on the equation above, the y-intercept is equal to 60.
Part b.
Based on the equation above, the slope is equal to 1.
Part c.
In this scenario, the expected number of cones of ice cream when the temperature is 30°C;
y = x + 60
y = 30 + 60
y = 90°C.
Read more on point-slope here: brainly.com/question/24907633
#SPJ1
The answer to question 4
Answers
Answer:
well the first one is (3,4)
And the second one is (3,4)
Step-by-step explanation:
Hope this helps!
you invest $2000 in an account that pays simple interest of 2% for twenty years. what amount of money will you have in 20 years
Answers
Answer:
$2971.9
Step-by-step explanation:
2000*(1+2%)^20 = 2971.895
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
MODELING REAL LIFE
The height of a tree trunk is 20 meters and the base diameter is 0.5 meter.
a. The wood has a density of 380 kilograms per cubic meter. Find the mass of the trunk.
The mass of the tree trunk is about
kilograms.
Question 2
b. For each of the next 5 years, the trunk puts on a growth ring 4 millimeters thick. In the first year, the height increases by 0.2 meter. The tree produces the same amount of wood each year. What is the height of the trunk after 5 years?
The height of the trunk is about
meters after 5 years.
Answers
Answer:
a. 1492 kg
b. 20.8 m
Step-by-step explanation:
Given a tree is initially 20 m high and has a diameter of 0.5 m, you want the mass of the trunk if its density is 380 kg/m³. If it adds a growth ring of 4 mm per year and adds height of 0.2 m in the first year, you want the height of the tree after 5 years, assuming the same amount of wood is added each year.
a. MassThe volume of the tree trunk is that of a cylinder. The formula is ...
V = (π/4)d²h
V = (π/4)(0.5 m)²(20 m) ≈ 3.9270 m³
The mass is the product of volume and density:
M = Vρ
M = (3.9270 m³)(380 kg/m³) ≈ 1492 kg
The mass of the tree trunk is about 1492 kg.
b. HeightIn the first year, the diameter of the tree increases by 8 mm, and the height increases by 0.2 m,. This means the volume of the tree increases to ...
V = (π/4)(0.508 m)²(20.2 m) ≈ 4.0942 m³
The volume increase is the same each year for 5 years, so after 5 years, the volume is ...
3.9270 m³ + 5(4.0942 -3.9270) m³ ≈ 4.7630 m³
At that time, the diameter is about 0.540 m. Solving the volume equation for the height, we find it to be ...
h = 4v/(π·d²)
h = 4(4.7630 m³)/(π·(0.54 m)²) ≈ 20.797 m
The height of the trunk after 5 years is about 20.8 m.
__
Additional comment
We note that the wood added in the first year includes the cylindrical shell represented by the tree ring, and a cylindrical "plug" that is 0.2 m high and equivalent in diameter to the rest of the tree. This seems an odd way for the tree to grow, but may be a reasonable approximation to the actual growth.
The height, diameter, and growth are all given to 1 significant figure. Hence the 4- and 3-significant figures used in the answers may be unsupported by the precision of the given numbers. Keeping 2 significant figures, we might report the initial mass as 1500 kg, and the final height as 21 m.
The graph is drawn by a function formulated to have the correct height at the x-intercept: v(d, h) - (final volume) = 0.
<95141404393>
Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
Answers
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
For more such questions on polynomial, click on:
https://brainly.com/question/1600696
#SPJ8
I have available 1500mg/250mL ordered is 1500mg to be given over 90 minutes. What is the pump setting?
Answers
What are the new vertices of quadrilateral KLMN if the quadrilateral is translated two units to the right and four units upward?
Answers
The given transformation is
\((x,y)\rightarrow(x+2,y+4)\)We have to apply this translation to each vertex.
\(\begin{gathered} K(-4,-2)\rightarrow K^{\prime}(-2,2) \\ L(-1,-2)\rightarrow L^{\prime}(1,2) \\ M(-1,-5)\rightarrow M^{\prime}(1,-1) \\ N(-4,-5)\rightarrow N^{\prime}(-2,-1) \\ \end{gathered}\)According to this result, the right answer is C.The number 2/5 is both an blank and an blank
Answers
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
Learn more about ratios and fractions here:
https://brainly.com/question/2328454
#SPJ1
how do i work out 320.041 - 47.96
Answers
To subtract 47.96 from 320.041, you can align the decimal points and then subtract each digit from right to left.
First, write the numbers with the decimal points aligned:
320.041
- 47.960
Next, subtract the digits in the ones place, which is 1 minus 0, resulting in 1. Then, subtract the digits in the tenths place, which is 4 minus 6. Since 4 is less than 6, you need to borrow 1 from the digit to the left, making the 2 into a 1 and adding 10 to the 4, giving you 14. So, 14 minus 6 equals 8.
Continue subtracting each digit in the same way:
320.041
- 47.960
= 272.081
Therefore, 320.041 minus 47.96 is equal to 272.081.
To learn more about subtraction click on,
https://brainly.com/question/2346316
#SPJ1
find the missing angle
Answers
Answer:
? = 77°
Step-by-step explanation:
the 3 angles in a triangle sum to 180° , that is
? + 35° + 68° = 180°
? + 103° = 180° ( subtract 103° from both sides )
? = 77°
Answer:77
Step-by-step explanation:
180-103=77
There are 7 teachers going to the museum. There are 8 times as many students going as teachers. They will need 1 van for every 6 people.
Answers
The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.
The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.
Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.
Learn more about conjugation on:
https://brainly.com/question/28175934
#SPJ1
Givenh= -16t^2+96t+256The ball hits the ground after how many seconds?
Answers
We want to find out how long it takes a ball to hit the ground using a quadratic function.
Typically, we can do this by finding the x-intercepts, or zeros of the function.
We are given the function:
\(h=-16t^2+96t+256\)Since we want to know when the ball hits the ground, we will let the height of the ball be h = 0.
\(0=-16t^2+96t+256\)
Any method can be helpful here:
- factoring
- completing the square
- quadratic formula
For this, we can use the factoring method. To begin, let's divide out the greatest common factor:
\(GCF(-16,96,256)=-16\)We get:
\(\begin{gathered} 0=\frac{-16}{-16}t^2+\frac{96}{-16}t+\frac{256}{-16} \\ \\ 0=t^2-6t-16 \end{gathered}\)Next, we want to find two factors of -16 that add to give us -6.
We would get -8 and 2. We can use those to separate the middle term:
\(0=t^2-8t+2t-16\)Grouping the first two and last two terms gives us:
\(0=(t^2-8t)+(2t-16)\)We can factor out a t from the first set, and 2 from the second set, like this:
\(0=t(t-8)+2(t-8)\)Finishing the factoring method, we have:
\(0=(t-8)(t+2)\)Next, we apply the zero product property to solve for each factor:
\(t-8=0\text{ and }t+2=0\)From the first factor, we get:
\(t-8=0\rightarrow t=8\)For the second factor:
\(t+2=0\rightarrow t=-2\)Since this is a real world situation, we need to keep the positive value.
Therefore, we will use t = 8. We interpret this as, "It takes 8 seconds for the ball to hit the ground."
2. How much interest is earned by investing $2100 for three years at 4.5% compounded
monthly?
Answers
Answer:
The final balance is $2,402.92.
The total compound interest is $302.92.
Step-by-step explanation:
A = P(1 + r/n)^{nt}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
A=2100(1+.045/12)^(3*12)
A=2100(1.00375)^(36)
A=2100*1.442478322
A=2402.92
gain of 302.92
If a=12 and h = 25, then the volume a triangular pyramid is?
Answers
The volume of the triangular pyramid, with a base area of 12 and a height of 25, is equal to 100 cubic units.
To calculate the volume of a triangular pyramid, we need the values of the base area and the height. Given that a = 12 and h = 25, we can proceed with the calculation.
The formula for the volume of a triangular pyramid is (1/3) * base area * height. Since we know the base area is equal to a, we can substitute the values into the formula.
Volume = (1/3) * a * h
Plugging in the given values, we have:
Volume = (1/3) * 12 * 25
Simplifying the expression further:
Volume = (1/3) * 300
Volume = 100
Therefore, the volume of the triangular pyramid, with a base area of 12 and a height of 25, is equal to 100 cubic units.
For more questions on volume
https://brainly.com/question/28298028
#SPJ11
you get ask to divide a question but you don't know how, how do they solve it ?
Answers
Step-by-step explanation:
Step 1: D for Divide. How many times will 5 go into 65? ...
Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: 1 x 5 = 5. ...
Step 3: S for Subtract. Next you subtract. ...
Step 4: B for Bring down. ...
Step 1: D for Divide. ...
Step 2: M for Multiply. ...
Step 3: S for Subtract.
Step-by-step explanation:
Dividing something is trying to find how many times a number can appear in another number
For example
64 divided by 4 is 16
4 is the divisor and 64 is the dividend.
So, 4 can appear 16 times to make 64
The difference between the circumference and the diameter of a circle is 90cm. Find the radius
Answers
Answer:
Step-by-step explanation:
Circumference is 2πr - 2r = 90cm
2r(π-1)=90
divide both sides by (π-1)
2r = 90/(π-1)
2r = 42.024...
r = 21.012399 cm
let us consider the points with an integer second coordinate from (-2) to 2 and with an integer first coordinate from (-25) to 25, How many lines are there parallel to the line y = 3x and passing through any of these points?
Answers
There are no parallel lines to y = 3x that passes through the two given points.
How many parallel lines pass through that point?
A general linear equation is written as:
y = a*x +b
Where a is the slope and b is the y-intercept.
We know that two lines are parallel if and only if the two slopes are equal but the y-intercepts are different.
Here we want to find a line parallel to:
y = 3x
So our line will be of the form:
y = 3x + b
Where b must be different than zero.
Now, we also want that our line passes through the points (-25, -2) and (25, 2)
Note that if we use these points to find the slope (as the quotient of the differences) we will get the slope:
a = (2 + 2)/(25 + 25) = 4/50 = 2/25
So the slope of the line that connects these two points is different than 3, thus, there is no parallel line to y = 3x that passes through these two points.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Answer:
There are no parallel lines to y = 3x that passes through the two given points.
Mark Me Brainliest
Step-by-step explanation:
A piece of wire in the form of a circle has radius of 28cm it's reshaped into rectangle of length 50cm calculate the width of the rectangle
Answers
The quadratic function f (x)=x2 - 8x + 7 models the position of a driver relative to the surface of the water over time a. Find the vertex form of the function
Answers
The solution is, the vertex is (4,-9).
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
The quadratic function f (x)=x2 - 8x + 7
then, we have,
x = -b/2a
= 8/2
= 4
again,
y = 16 -8*4 +7
= 16 - 32 +7
= -9
Hence, The solution is, the vertex is (4,-9).
To learn more on function click:
brainly.com/question/21145944
#SPJ1
17.
Which of the following are equiangular quadrilaterals?
a. parallelogram and rectangle
b. trapezoid and rhombus
c. square and rhombus
d. square and rectangle
e. none of these
Answers
Find the slope and the y-intercept of the line with the given equation.
f(x) = 7 -4/5x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is
(Type an integer or a simplified fraction.)
B. The slope is undefined.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The y-intercept is
(Simplify your answer. Type an ordered pair, using integers or fractions.)
B. There is no y-intercept.
Answers
Answer:
The slope is -4/5
The y intercept is (0,7)
Step-by-step explanation:
f(x) = 7 -4/5x
Rewriting
y = -4/5x +7
This is in slope intercept form
y = mx+b where m is the slope and x is the y intercept
The slope is -4/5
The y intercept is (0,7)
will mark brainleist pls help
Answers
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
Find the Value of X.
Answers
scientific form of 47500000000
Answers
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Scientific notation for above value is ~
\(4.75 \times 10 {}^{10} \)\(Hello\) \(There!\)
First, let's make sure our coefficient is between 1 and 10:
4.75
All numbers in scientific notation look like this:
___x10^- (some number)
4.75x10^
Now, the number is large, so the exponent is positive.
So we move the decimal place some number of units. We move the decimal place 10 units, so the exponent is 10:
4.75x10^10
Hope this helps!
~Just a felicitous girlie
#CarryOnLearning
\(SilentNature\)
Find the surface area and volume of the solid given the figure below
Answers
Answer:
Volume - 582.8848178 cm cubed
Step-by-step explanation:
Volume - to fine the volume start with the cone...
The formula is 1/3 pi r^2h
so for this problem it would be
1/3 * 3.14 * 26.01 * 11.2
so your answer would be...
305.061213 cm cubed
Your next step is to find the volume of the dome. to do that the formula is (4/3 pi r^3)/2
so for this problem it would be
(4/3 * 3.14 * 132.651)/2
so your answer would be...
277.8236048 cm cubed
Finally you add together those 2 volumes and get 582.8848178 cm cubed as your final answer.