Answer:
pick any two points
im going to chose (1,3) and (3,7)
so the equation y2-y1/x2-x1
1 = x1
3=y1
3=x2
7=y2
so 7-3/3-1 is 4/2
which is 2
help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
t =2.45s
Step-by-step explanation:
H=-16t2+96t
then, -16t2= -96t
divide both sides by 16
-16t2/16 = -96t/16
-t2 = -6
t2=6
t=√6
t=2.45
A steel ball is melted down to make eight smaller identical balls. If the radius of the
original steel ball was 20 cm, calculate to the nearest millimetre the radius of each of the smaller balls.
The radius of each of the smaller balls is R = 2r.
Define volume of circle.You can use a tape measure, for instance, to directly measure the distance around the sphere's widest point. The radius of this circle, which serves as the sphere's circumference, is one. A circle's circumference is computed as 2 x x radius. Since the cross-section of the sphere is a circle, the volume in this case is dependent on the diameter of the sphere's radius. The area or region of a sphere's outer surface is known as its surface area. We can use the following formula to get the volume of a sphere whose radius is "r": A sphere's volume is equal to 4/3r³.
Given,
A steel ball is melted down to make eight smaller identical balls. If the radius of the original steel ball was 20 cm:
Let the spherical ball's radius be R.
And with r being the radius of 8 similar balls,
According to the inquiry,
Volume of 8 similar balls = the volume of a larger sphere
3/4πR³ = 8 × 3/4πr³
R³ = 8r³
R = 2r
The radius of each of the smaller balls is R = 2r.
To learn more about volume of circle, visit:
https://brainly.com/question/12027549
#SPJ1
Find the angle of DE
The Answers is 90
Step-by-step explanation: Imagion taking 4 DE and make a square out of it. All sides of a square is 90 degress so De is 90 degress
Complete the proof that
With the help of angles we can say that ∠HJI=∠FJG.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.Acc to our question-
∠HJI=∠FJG=180 , they are forming linear pairs.due to transitive property of inequality we can say that-they both are equal and congruent.Hence, ∠HJI≅∠FJG are equal and congruent.
learn more about angles click here:
brainly.com/question/25716982
#SPJ13
Determine the quadratic function of the form f(x)= a(x - h)² + k whose graph is given on the
right.
The quadratic function will be f(x) = 2[tex]x^{2}[/tex] + 4x + 15
General equation of quadratic is
f(x) = a[tex]x^{2}[/tex] + bx + c
and Standard form is
f(x) =a [tex](x-h)^{2}[/tex] + k
where h , k are coordinates of vertex
and x , y represent some point on the graph.
By replacing f(x) with y in standard equation we get
y = a[tex](x-h)^{2}[/tex] + k
Put value of x , y , h , k from the graph.
h = -2
k = 7
x = 0
y = 9
9 = a (4) + 7
a = 2
Now put value of a in standard equation
f(x) = 2 [tex](x + 2)^{2}[/tex] + 7
f(x) = 2[tex]x^{2}[/tex] + 4x + 15
To know more about quadratic equation
https://brainly.com/question/27953127
#SPJ1
Which point is located on the x-axis?
Answer:7
Step-by-step explanation:
yabba dabba doo
5) Can you give some real world examples (at least two for each) of positive and negative slope?
The positive slope is tilted towards the right on a coordinate plane and the negative slope is tilted towards the left on the coordinate plane.
What is the positive and negative slope?When two variables have a positive slope, it means that they are positively correlated; that is, when x rises, y rises as well, and when x falls, y falls as well. A line on a line graph that has a positive slope rises as the line advances from left to right.
A line that slopes downward from left to right is said to have a negative slope. In other words, the rise-to-run ratio of the line is negative.
The graph of the two real-life situations is attached with the answer below. In which the equation y = 4x means that the value of y is increasing by 4. Similarly, the equation for negative slope is y = -4x means that the value of y is increasing in opposite direction by factor 4.
To know more about positive and negative slopes follow
https://brainly.com/question/26384955
#SPJ1
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Using the velocity, the rocket reaches its maximum height at 3.25 seconds.
In the given question we have to find the maximum height at the rocket reaches.
From the question; a toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 104 feet per second.
The height h in feet of the rocket above the ground at t seconds after launch is given by the function h(t)= -16t^2+104t+5.
As we know that at the maximum height, the velocity will be zero.
So the given function of the heigth is
h(t)= -16t^2+104t+5
Velocity(v) = dh(t)/dt = -32t+104
As the maximum height v=0
-32t+104 = 0
Subtract 104 on both side, we get
-32t= -104
Divide by -32 on both side
t= 3.25 seconds
Hence, the rocket reaches its maximum height at 3.25 seconds.
To learn more about Velocity link is here
brainly.com/question/19979064
#SPJ1
examples of linear equation
Compare and Explain: Are they equivalent?
$3 for 6 bagels; $9 for 24 bagels
Answer: No
Step-by-step explanation: You want to find the unit rate for each bagel. 6/3 is 2 dollars, so each bagel is going to cost 2 dollars. If your getting 24 bagels for 9 dollars, 24/9 is 2 2/3 dollars for each bagel. 2 ≠ 2 2/3 so therefore, they're not the same.
One leg of a right triangle is 8 units long, and its hypotenuse is 14 units long. What is the length of the other leg? Round to the nearest whole number.
The other leg has its length to be 11.49 units
How to determine the length of the other leg distance?To calculate the length of the other leg distance, we make use of the Pythagoras theorem
Mathematically, this theorem is represented by:
w² = y² + z²
Such that x = hypotenuse, y = leg and z = other leg
From the question, we have the following parameters
w = 14, y = 8 and z = the other leg
Substituting these values in w² = y² + z²
14² = 8² + y²
Evaluate the exponents
196 = 64 + y²
Evaluate the like terms
y² = 132
Take the square roots of both sides
y = 11.49
Hence, the length of the other leg is 11.49 units
Learn more on Pythagoras theorem here;
brainly.com/question/343682
#SPJ1
Answer: 11 units
Step-by-step explanation: i took the test and got it right
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The function has a maximum value of 30 at x = 3.
Given Function:
f(x) = -3+18x+3
here a = -3 , b = 18 , c = 3
a is negative so it has maximum value
x = -b/2a
= -18/2*(-3)
= -18/-6
= 18/6
= 3
f(x) = -3* + 18*3 + 3
= -3*9+54+3
= -27+54+3
= 27+3
= 30
Therefore the function has a maximum value of 30 at x = 3.
Learn more about the quadratic function here:
https://brainly.com/question/18958913
#SPJ1
Write the following values in ascending order (smallest to largest):
0.1, 0.09, 2%,7/10,19/100
x+3y+z=-8
4x-2y-z=-9
5x+3y+2z=-19
please help me with this
That aint no question
Cual es la respuesta de:
6(-?)+1=-47
The value of missing number is 8.
What are Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
6(-?)+1=-47
let the unknown value be x.
6(-x ) + 1= -47
Now, Subtract 1 from both side
-6x + 1 - 1= -47 - 1
-6x = -48
x= -48/(-6)
x = 8
Hence, -6(8) + 1 = -47.
Learn more about Integers here:
https://brainly.com/question/15276410
#SPJ1
Calculate (8.42 x 109) − (2.35 x 108).
Answer:
Step-by-step explanation:
663.98
Answer: 663.98
Step-by-step explanation:
(8.42*109)=917.78
(2.35*108)=253.8
917.78-253.8=663.98
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Skill plans
At a candy store, Dean bought 2 kilograms of jelly beans and 3 kilograms of gummy worms
for $38. Meanwhile, Sue bought 3 kilograms of jelly beans and 3 kilograms of gummy worms
for $45. How much does the candy cost?
A kilogram of jelly beans costs $
and a kilogram of gummy worms costs $
The price of one kilogram of jelly bean and gummy worms is $7 and $8 respectively.
Let the price of 1 kilogram of jelly bean cost be x
and the price of 1 kilograms of gummy worms be y
Dean bought 2 kilograms of jelly beans and 3 kilograms of gummy worms
for $38
2x + 3y = 38......equation 1
Sue bought 3 kilograms of jelly beans and 3 kilograms of gummy worms
for $45
3x + 3y = 45........equation 2
Subtracting equation 2 from equation 1
2x + 3y - (3x + 3y) = 38 - 45
2x - 3x + 3y - 3y = -7
-x = -7
x = 7
2(7) + 3y = 38
14 + 3y = 38
3y = 24
y = 8
Therefore, the price of one kilogram of jelly bean and gummy worms is $7 and $8 respectively.
To learn more about system of equations refer here
https://brainly.com/question/13729904
#SPJ1
can yall please help
1. The pairs of polygons are similar.
2. The pairs of polygons are not similar.
3. The missing measure is of x = 5.2.
4. The missing measure is of x = 16.
5. The value is AB = 6.
6. The perimeter of the yellow tile is of 240 cm.
7. The value is DF = 0.75.
What are similar polygons?Similar polygons are polygons that share these two following features:
Congruent angles.Proportional side lengths.Hence, for itens 1 and 2, we have that:
1. The pairs of polygons are similar, as the side lengths are proportional.2. The pairs of polygons are not similar, as the side lengths are not proportional, as the ratio of 6 and 9 is different of the ratio of 3 and 4.For item 3, the side lengths are proportional, hence:
x/2.6 = 8/4
x/2.6 = 2
x = 2 x 2.6
x = 5.2.
Same as item 4, hence:
x/10 = 9.6/6
x/10 = 1.6
x = 16.
For item 5, considering the equivalent side lengths, we have that:
AB/8 = 12/16
AB/8 = 3/4
AB = 24/4
AB = 6.
The perimeter of the yellow tile is of 240 cm in item 6, as the ratio between the side lengths is of 3, hence the ratio of the perimeters will also be of 3, then:
3 x 80 cm = 240 cm.
For item 7, we have that:
DF/3.4 = 2.25/9
DF = 3 x 2.25/9
DF = 0.75.
More can be learned about similar polygons at https://brainly.com/question/14285697
#SPJ1
Please help! triangles PTS&QTR are congruent identify their common side or angle
Answer:
∠T
Step-by-step explanation:
∠T is the common angle found in both triangles.
In ΔPTS, ∠PTS represents ∠T.
In ΔQTR, ∠T is represented by ∠QTR.
Answer:
The angle T is common side.
Step-by-step explanation:
Given triangles,
→ ∆PTS & ∆QTR
Now we have to,
→ fInd common angle of both triangles.
The common angle is,
→ <T (angle T)
→ As it is present in both triangles.
Hence, the common part is angle T.
what is the future amount of 12,000 invested for 5 years at 14% compounded monthly?
The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest.
what is compound interest?To begin, change R from a percentage to a decimal, using the formula:
r = R/100 r = 14/100
r = 0.14 rate per year;
Next, find A by solving
A = P(1 + r/n)nt A = 12,000.00(1 + 0.14/12)(12). (5)
A = 12,000.00(1 + 0.011666666666667)(60) (60)
A = $24,067.32
Summary: The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.
The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest. You will then be left with the loan balance plus compound interest.
To learn more about interest refer to:
https://brainly.com/question/2294792
#SPJ13
(x+5)-(x - 5)² for x = 3
20 POINTS PLEASE HELP!!!
Solve the following system of equations. Show your work.
y=x−5
y=5x−17
Solution:
The solution to the system of equations y = x − 5 and y = 5x − 17 is x = 3 and y = -2
How to determine the solution to the system of equations?The system of equations is given as
y = x − 5
y = 5x − 17
Substitute y = x − 5 in the equation y = 5x − 17
So, we have
x - 5 = 5x − 17
Evaluate the like terms
4x = 12
Divide both sides by 4
x = 3
Substitute x = 3 in y = x − 5
y = 3 − 5
So, we have
y = -2
Hence, the solution is x = 3 and y = -2
Read more about system of equations at
https://brainly.com/question/13729904
#SPJ1
six thousand seven hundred and fifty (6750) people who were free of disease x were enrolled in a cohort study in 1985 and followed with annual exams and interviews through 1995. exposure to factor a was determined at study enrollment and the participants were followed until 1995 to observe new cases of disease x. data from the study at the end of follow-up are shown in the table (below). what is the incidence rate of disease x among persons exposed to factor a?
Option A is the correct choice (0.04)
The incidence rate of disease x among persons exposed to factor a is 0.04
The frequency of a particular incident over a predetermined time period is measured by the incidence rate or incidence. In the corporate world, sampling, surveys, and product testing can all be used to calculate an incidence rate.
Because 120 divided by the total number of exposed people yields the occurrence rate for disease X among those who have been exposed.
The incidence rate would be 4 per 100 people if multiplied by 100, however, this statistic is not specifically specified.
Therefore, those who were exposed to factor a had an incidence risk of disease x of 0.04
To know more about the Incidence rate, refer to this link:
https://brainly.com/question/15016943
#SPJ4
COMPLETE QUESTION:
6,750 people who were free of disease X were enrolled in a cohort study in 1985 and followed by annual exams and interviews through 1995. Exposure to factor A was determined at study enrollment and the participants were followed until 1995 to observe new cases of disease X. Data from the study at the end of the follow-up are shown in the following table. What is the incidence rate of disease X among persons exposed to factor A? Exposure to Factor A People with Disease X People without Disease X Not Exposed 30 3,720 Exposed 120 2,880
Select one:
a. 0.04
b. 0.19
c. 0.25
d. 4.00
e. 5.17
3) an applicant for a job has to take an aptitude test. suppose that the time it takes to finish the test is normally distributed with mean time 69 minutes and standard deviation 8 minutes. determine how much time an applicant should be given so that 97 percent of them will be able to complete the test.
An applicant needs 84.04 minutes to finish the test in order for 97 percent of them to pass.
An aptitude test is required of job candidates. Let's assume that the test's completion time has a mean of 69 minutes and a standard deviation of 8 minutes.
To get how much time an applicant should be given so that 97 percent of them will be able to complete the test.
Mean (μ) = 69
standard deviation (σ) =8
Hence, due to population standard deviation (σ) is known to use the normal distribution.
x_ Norm (μ,σ)
x_ Norm (69,8)
Therefore, x_ random variable that represents the time of applicant;
P(X<x) = 0.97
Corresponding to the left tail area of 0.97 lies in the z-table of z row of 1.8 and column 0.08.
P(z < 1.88) = 0.97
z < 1.88
(X - μ)/σ < 1.88
X < 1.88 (8) + 69
X < 84.04
The time taken by an applicant so that 97 percent of them will be able to complete the test is 84.04 minutes.
To learn more about standard deviation click here:
brainly.com/question/14747159
#SPJ4
a cattle rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure below). there are 510 feet of fencing available to complete the job. what is the largest possible total area of the four pens?
The largest area of the rectangle is 6502.5 square feet.
Given that,
Using fence parallel to one of the rectangle's sides, a cattle rancher wants to surround a rectangular area and divide it into four pens (see the figure below). To finish the task, 510 feet of fencing are available.
We have to find what could the four pens' combined total area be.
We know that,
The rectangular shape's length is l and its width is b.
Total fencing= 2l + 5b=510 feet
2l +5b =510 feet
We can write as,
l=1/2(510-5b)
Total area of the rectangle is length into breath
A(b) = l × b
A(b) = 1/2(510-5b)×b
A(b)= 1/2(510b -5b²)
For maximum area
A'(b)=0
1/2(510b -5(2b))=0
b=51
We get l as
l = 1/2(510-5b)
l = 1/2(510-5(51))
l = 127.5
Total area of the rectangle is 127.5 × 51
Total area of the rectangle is 6502.5 square feet.
Therefore, The largest area of the rectangle is 6502.5 square feet.
To learn more about rectangle visit: https://brainly.com/question/15019502
#SPJ4
Which statements are true about the ordered pair (5, -6) and the sys
[x+y=−1
3x - y = 21
Select each correct answer.
Select 3 correct answer(s)
The ordered pair (5, -6) is a solution to the first e
because it makes the first equation true.
The ordered pair (5, -6) is a solution to the secon
equation because it makes the second equation
The ordered pair (5, −6) is a solution to the first and second equations because it makes both equations true.
What are linear equations?In mathematics, a linear equation is one that may be written in the form where the variables are alphabets, and the coefficients are frequently real integers. An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
The given system of equations is
x + y = -1 ......(1)
3x - y = 21 ......(2)
Rewrite equation (1)
y = - x - 1 ......(3)
Put equation (4) in equation (3)
3x -(-x -1) = 21
3x + x + 1 = 21
4x = 20
x = 20/4
x = 5
Put x= 5 in equation (3)
y = - 5 - 1
y = - 6
So, both the options are correct, (5, -6) is the solution of both equations.
To know more about linear equations, visit:
brainly.com/question/13955204
#SPJ1
Find the slope of the line that contains (1, 9) and (6, 6).
Answer:
Step-by-step explanation:
To find the slope, subtract the y values, and divide it by subtracting the x values. The order matters!
(9-6)/(1-6)=-3/5
A horse that weighs 1 1/4 tons carries a 110-pound person, a 15-ounce water bottle, and a 16 1/2-pound basket. What is the total weight of the horse, riders, and items?
Answer:
143.75
Step-by-step explanation:
11/4+110+15+16 1/2=143.75
HELP MEEE PLEASEEEEE
Answer:
XY = 12.4 cm
Step-by-step explanation:
a² + b² = c²
(4 cm)² + (XY)² = (13 cm)²
16 cm² + XY² = 169 cm²
XY² = 153 cm²
XY = √(153 cm²)
XY = 12.4 cm
what is the perimeter of a square if it's area is 81mm ²
Answer:
36 mm
Step-by-step explanation:
from the area we find the side by taking the square root, having found the side we multiply it by 4 and we have the perimeter, we can solve it with a simple expression that summarizes what I wrote
4√81 =
4 × 9 =
36 mm