Answer:
[tex]y=\frac{1}{2} x[/tex]
Step-by-step explanation:
The equation of a line through two points can usually (except when the line is a vertical line) be written in slope intercept form, [tex]y=mx+b[/tex] , where "m" is the slope of the line, and "b" is the y-intercept of the line.
General outlineFind the slopeFind the y-interceptTo find "m", use the formula for slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{(3)-(-2)}{(6)-(-4)}[/tex]
[tex]m=\dfrac{3+2}{6+4}[/tex]
[tex]m=\dfrac{5}{10}[/tex]
[tex]m=\dfrac{1}{2}[/tex]
So, the slope is 1/2 and we know that the equation for the line that passes through these two points should look like: [tex]y=\frac{1}{2} x+b[/tex]
Step 2. Find the y-interceptTo find "b", substitute one of the known points, and solve for "b":
[tex]y=\frac{1}{2} x+b[/tex]
[tex](3)=\frac{1}{2} (6)+b[/tex]
[tex]3=3+b[/tex]
Subtracting 3 from both sides to isolate the "b"...
[tex](3)-3=(3+b)-3[/tex]
[tex]0=b[/tex]
So, the y-intercept is 0. Substituting into our line equation, [tex]y=\frac{1}{2} x+(0)[/tex] which simplifies to [tex]y=\frac{1}{2} x[/tex]
HELPP PLEASE 50 POINTS
Tucker bought some envelopes plain envelope cost twenty-five cents each decorative envelopes cost $0.45 each. he bought at least one plain envelope and at least one decorative envelope he spent exactly the same amount on Plain envelopes as on decorative envelopes.
before taxes added what was the least total amount he could have spent?
A. 1.40$
B. 2.30$
C. 3.10$
D4.50$
Answer:
D.
Step-by-step explanation:
0.45*5=2.25
0.25*9=2.25
2.25*2=4.50
Hope this helps!
If not, I am sorry.
chandra is constructing a weighted bookend for her shelf. it is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it down
Since it is said to be a hollow rectangular prism, she will fill it with sand to weigh it about (573 + 9/2) cubic inches.
What is the prism about?
Note that the volume is said to be:
V = L x B x H
316 in = 6 √2 x 2 √3
The answer is 573 while the other part of the prison is 9√2 cubic inches.
Therefore, option A is correct.
See full question below
Chandra is constructing a weighted bookend for her shelf. It is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it
down
6 √(2 in
316 in
2 √3 in
What is the volume of the bookend?
(Hint: The volume of a rectangular prism is the product of its length width and height.)
OA (573 + 9/2) cubic inches
B. 36/12 cubic inches
C 108 cubic inches
D. 216 cubic inches
Learn more about prism from
https://brainly.com/question/23963432
#SPJ1
solve pls brainliest
Answer:
4 pt = 8 cups
28 qt = 7 gallons
Step-by-step explanation:
We know, from your chart, that 1 p = 2 c
4 p is four times 1 p
so, to scale up 1 pint to 4 pints, we multiply by 4
to figure out what the corresponding number of cups would be, we also have to multiply that value by 4
if 1 p = 2 c
then 4 p = 8 c
(1 x 4) (2 x 4)
8 cups
--------
If we have 28 quarts, and we know that 4 quarts is 1 gallon, we can divide 28 / 4 to find how many gallons are in 28 quarts (or, how many gallons can be made of 28 quarts)
28 / 4 = 7
7 gallons
rainbow's is having a discount on swimsuits for the start of summer. the original price of the swimsuit is $30 and it is marked as 25% off. what is the
sale price that the customer will pay?
Answer:
22.50
Step-by-step explanation:
25 percent 30
= (25/100)30
= (25*30)/100
= 750/100 = 7.50
$30 - $7.50 = $22.50
the atlanta braves are offering bobblehead to every 10th person who enters your fundraiser. the nashville predators are offering a free ticket to every 15th person who enters the fundraiser. how many attendees must come before someone receives both bobblehead and a ticket?
In this situation, attendee number thirty will be the first one o receive both the bobblehead and the ticket.
Which attendees will receive the bobblehead and the ticket?Bobblehead:
Attendee number 10Attendee number 20Attendee number 30Ticket:
Attendee number 15Attendee number 30What can be concluded?It can be concluded the attendee number 30 will be the first one to receive both the ticket and the bobblehead.
Learn more about ticket in: https://brainly.com/question/14001767
#SPJ1
Which trigonometric function requires a domain restriction of [0, pi/2) ∪ (pi/2 , pi]
The ANSWER is f(x) = secx ----- PLEASE EXPLAIN THANK YOU!!!!!
The trigonometric function requires a domain restriction of [0, π/2) ∪ (π/2, pi] is tan x, sec x.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
tan x = (sin x)/(cos x)
sec x = 1/(cos x)
cos x becomes zero at {-π/2,π/2}
Therefore, the both of the function are undefined at {-π/2,π/2}
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ1
PLEASE PLEASE HELP ITS MY FINAL GRADE PLEASE PLEASE
According to it, each package of Milk Chocolate M&M's should contain 24% blue,
14% brown, 16% green, 20% orange, 13% red, and 14% yellow M&M's. Based on
this information determine the amount each color of M&M's would be in a bag of
M&M's
Answer:
See below
Step-by-step explanation:
Given there are 56 M&M's:
Expected Value of Blue = 56(0.24) = 13.44Expected Value of Brown = 56(0.14) = 7.84Expected Value of Green = 56(0.16) = 8.96Expected Value of Orange = 56(0.20) = 11.20Expected Value of Red = 56(0.13) = 7.28Expected Value of Yellow = 56(0.14) = 7.84Remember to use [tex]np[/tex] to calculate expected value! This will especially be helpful if you are conducting a chi-squared test of independence.
For this graph, mark the statements that are true.
M
-1-
A. The range is the set of all real numbers.
B. The domain is the set of all real numbers.
C. The domain is the set of all real numbers greater than or equal to
-2.
D. The range is the set of all real numbers greater than or equal to
zero.
The true statements for this graph are:
B. The domain is the set of all real numbers.
D. The range is the set of all real numbers greater than or equal to zero.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. For this graph, the vertex of the parabola is (1, 0) and as such, the equation will be given by:
y = (x - h)² + k
y = (x - 2)² + 0
y = x² -4x + 4
Therefore, the graph's domain include a set of all real numbers.
What is a range?A range refers to a set of all real numbers that connects with the elements of a domain. For this graph, we can observe that only real numbers greater than or equal to zero (0) are connected to the values on the x-axis of the domain.
In conclusion, we can logically deduce that the true statements for this graph are:
Its domain include all real numbers.Its range include all real numbers that are greater than or equal to zero (0).Read more on domain here: https://brainly.com/question/17003159
#SPJ1
Find A and B if Cos(A - B) = (sqrt(3))/2 ; Sin(A + B) = 1
3 substracted from 9 times 2 and 5 is added
Answer:
20
Step-by-step explanation:
It is because 9x2=18
3 subtracted from 18 is 15
15+5=20
please mark brainliest
What is the probability you spin something larger than 10
The probability you spin something larger than 10 will be 1 / 2.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The given data is:-
There are 8 numbers in the spinner.We need to find the probability of a number greater than 10.The probability will be calculated as:-
Total numbers = 8
Numbers greater then 10 are = 13 , 16 , 22 , 42 = 4
Probability = 4 / 8 = 1 / 2
Therefore the probability you spin something larger than 10 will be 1 / 2.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ4
Which of these is a recurring cost of car ownership?
A. Windshield replacement
B. Driver's license application fee
C. Gas
O D. Bumper replacement
what is the coordinate of the vertex for the following prabola: (x-10)^2 = 12(y+2)
Answer:
Hi,
Step-by-step explanation:
[tex](x-10)^2=12(y+2)\\y=\dfrac{(x-10)^2}{12}-2\\y'=0 == > 2(x-10)/12=0 == > x=10 == > y=-2\\\\Vertex\ is\ (10,-2)\\[/tex]
Dale has $1,000 to invest. He has a goal to have $2,600 in this investment in 8 years. At what annual rate compounded continuously will Dale reach his goal?
Answer:
11.94 %
Step-by-step explanation:
Compound interest formula FV = PV e^(it) i = decimal interest per year
t = time FV = future value
2600 = 1000e^(i * 8)
solve for i = 11.94 %
What are the roots of the equation 9x^2-6x+2=0 in simplest a+bi form?
Answer:
Step-by-step explanation:
What does the word progressive mean in the sentence below
What is the sentence and what are the questions. Until I know I can't help. But I should be able to answer if you can tell me
Which graph has a slope 4/5?
Answer:
The middle option on the top row
Step-by-step explanation:
Slope is calculated as rise/run between two points.
In this case it takes 4 up and 5 to the right to get between the two points, so the rise would be 4 and run 5.
Are the equations 1/2x-8=9 and x-8=18 equivalent?
Answer:
not equivalent
Step-by-step explanation:
solve for x to see if they are equivalent
1/2x-8=9 and x-8=18
1/2x=17
x=34
x-8=18
x = 36
no they are not equivalent
Persevere with Problems The table shows the highway fuel economy of various popular vehicles.
The mean absolute deviation of highway fuel economy of various popular vehicles is 4.9
How to find mean absolute deviation?Find the mean of the data set
= (38 + 48 + 25 + 35 + 33 + 37 + 32 + 34 + 23 + 30) / 10
= 335 / 10
= 33.5
Mean deviation of each set;
38 - 33.5 = 4.5
48 - 33.5 =14.5
25 - 33.5 = -8.5
35 - 33.5 = 1.5
33 - 33 .5 = -0.5
37 - 33.5 = 3.5
32 - 33.5 = -1.5
34 - 33.5 = 0.5
23 - 33.5 = -10.5
30 - 33.5 = -3.5
Absolute deviation of each value
|4.5| = 4.5
|14.5| = 14.5
|8.5| = 8.5
|1.5| = 1.5
|-0.5| = 0.5
|3.5| = 3.5
|-1.5| = 1.5
|0.5| = 0.5
|-10.5| = 10.5
|-3.5| = 3.5
Total absolute deviation = 4.5 + 14.5 + 8.5 + 1.5 + 0.5 + 3.5 + 1.5 + 0.5 + 10.5 + 3.5
= 49
Mean absolute deviation = Total absolute deviation / mean
= 49/10
= 4.9
Learn more about mean absolute deviation:
https://brainly.com/question/3998118
#SPJ1
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time?
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time
Answer:
s
How do you write 9.085 x 10-9 in standard form?
Answer: 0.000000009085
Step-by-step explanation: This expression is rewritten like this because it is multiplied by a negative power of ten. Therefore, applying this principle to scientific notation, the answer would have to be less than 0. That would be your answer. Hope this helps!
Which three side lengths best describe the triangle in the diagram?
A. 6 cm, 8 cm, and 10 cm
B. 3 cm, 4 cm, and 5 cm
C. 5 cm, 8 cm, and 10 cm
D. 6 cm, 8 cm, and 9 cm
Please help me
The three side length that describes the triangle in the image attached below are: 5 cm, 12 cm, and 13 cm.
What is a Triangle?A triangle is a shape that has three sides. The sides can be measured using a ruler.
The sides of the triangle in the image shown have side lengths as measured by the ruler beside each of the sides, which are 5 cm, 12 cm, and 13 cm.
Therefore, the three side lengths of the triangle in the diagram are: 5 cm, 12 cm, and 13 cm.
Learn more about triangle on:
https://brainly.com/question/2437195
#SPJ1
Which expression gives the distance between the points
(-3, 4) and (6, -2)?
O A. (-3-4)²+(6+2)²
O B. (-3-6) +(4+2)²
O C. (-3-6)²+(4+2)²
O D. (-3-4)²+(6+2)²
The expression that gives the distance is [tex]\sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]
How to determine the expression?The points are given as:
(-3, 4) and (6, -2)
The distance between two points is calculated using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
This gives
[tex]d = \sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]
Hence, the expression that gives the distance is [tex]\sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]
Read more about distance at:
https://brainly.com/question/7243416
#SPJ1
Given various values of the linear functions f(x) and g(x) in the table, determine the y-intercept of (f- g)(x).
X -6 -4 -1 3 4
f(x) 15 11
5 -3 -5
g(x) -36 -26 -11 9 14
O (0,9)
O (0, 3)
O (0, -3)
O (0, -9)
The y-intercept of linear function (f- g)(x) is (0,9)
How to determine the y-intercept?The table of values is given as:
x -6 -4 -1 3 4
f(x) 15 11 5 -3 -5
g(x) -36 -26 -11 9 14
The equations of the functions is calculated using:
[tex]y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1[/tex]
So, we have:
[tex]f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15[/tex]
Evaluate
f(x) = -2x + 3
Also, we have:
[tex]g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36[/tex]
Evaluate
g(x) = 5x - 6
Next, we calculate (f - g)(x) using:
(f - g)(x) = f(x) - g(x)
This gives
(f - g)(x) = -2x + 3 - 5x + 6
Substitute 0 for x
(f - g)(0) = -2(0) + 3 - 5(0) + 6
Evaluate
(f - g)(0) = 9
Hence, the y-intercept of (f- g)(x) is (0,9)
Read more about linear functions at:
https://brainly.com/question/24896196
#SPJ1
a number, n is multiplied by -5/8 the product is -0.4 how would you set this up to solve
The value of n in the mathematical statement is 0.64
How to solve the equation?The statement is given as:
n multiplied by -5/8 equals -0.4
Rewrite properly as:
n * -5/8 = -0.4
Multiply both sides by -1
n * 5/8 = 0.4
Multiply both sides by 8/5
n = 0.64
Hence, the value of n in the mathematical statement is 0.64
Read more about mathematical statements at:
https://brainly.com/question/4344214
#SPJ1
Lawrence poured 27.328 L of water into a right rectangular prism- shaped tank. The base of the tank is 40 cm by 28 cm. When he finished pouring the water, the tank was ⅔ full. ( 1L=1,000 cm 3).
By using the given dimensions and volume of water, we will see that the height of the tank is 36.6cm
How to find the height of the tank?We know that 27,238 cm³ is the volume of water on the tank, and this is equal to 2/3 of the volume of the tank.
So we can write:
27,238 cm³ = (2/3)*V
Then the volume of the tank is:
V = (3/2)*27,238 cm³ = 40,992 cm³
The base of the tank measures 40cm by 28cm, then:
B = 40cm*28cm = 1,120 cm²
Then the height H is such that:
H*1,120 cm² = 40,992 cm³
Solving for H:
H = (40,992 cm³)/(1,120 cm²) = 36.6cm
The height of the tank is 36.6 centimeters.
If you want to learn more about volumes:
https://brainly.com/question/1972490
#SPJ1
Holly is looking up at an angle at a helicopter. The direct distance from Holly to
the helicopter is 16 km. The helicopter is hovering 11 km above the ground.
Calculate the angle of elevation from Holly to the helicopter. Include a labelled
diagram in your solution
Answer:
43.43 degrees
Step-by-step explanation:
This is a right triangle with the opposite LEG = 11 km and the hypotenuse = 16 km
sin (angle) = opposite/hypotenuse
= 11/16
arc sin (11/16) = angle = 43.43 degrees
Function k is a transformation of the parent exponential function f. what are the domain and range of function k? k(x)= 2^x
Answer:
Domain: All real numbersRange: All real numbers greater than 0Look at the following sequence.
54, 36, 24, 16, . . .
If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose “not geometric.”
Answer:
[tex]r \: = \: \boxed{ \bold{\frac{2}{3} }}[/tex]
Step-by-step explanation:
Calculate the ratio of the progression by dividing a term of it by the immediately preceding one.[tex]r \: = \: \frac{36}{54} \\ \\ r \: = \: \frac{24}{36} \\ \\ r \: = \: \frac{16}{24} [/tex]
We simplify the fractions:[tex]r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} [/tex]
Since the ratio is the same, that is the common ratio.
MissSpanish3. Eden has completed 7⅝ laps of a 10 lap race How many more laps does she still need to run?
eden must run 2 3/8 laps to complete the race.
How to calculate the laps that Eden is missing?To calculate the laps that Eden is missing, we must perform the following operation:
We must take into account that he has already completed 7 laps and a segment of the eighth lap that is equivalent to 5/8, that is to say that he has 3/8 to complete the eighth lap.
On the other hand, once he completes the eighth lap, he will have 2 full laps left to finish the race. Due to the above, it can be stated that it is missing 2 3/8 laps.
Learn more about racing in: https://brainly.com/question/1064477
#SPJ1