The equation represents a line that passes through(4, 1/3) and has a slope of 3/4 option A; y - 1/3 = 3/4 ( x - 4).
What is the Point-slope form?
The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
we know that
The equation of the line into point-slope form is equal to
y-y₁ = m(x-x₁)
we have
(x₁, y₁) = (4, 1/3)
m = 3/4
substitute the given values
y-y₁ = m(x-x₁)
y - 1/3 = 3/4 ( x - 4)
therefore,
y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
Thus, option A is correct.
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c) The ratio of boys to girls in a school is 4:5. There are 220 boys in the school. How many students attend the school?
Answer:
495Step-by-step explanation:
The ratio of boys to girls in a school is 4:5. There are 220 boys in the school. How many students attend the school?
find the number of girls
4 : 5 = 220 : x
x = 5 * 220 : 4
x = 275
sum boys and girls
220 + 275 =
495 (your answer)
check
4 : 5 = 220 : 275
4 : 5 = 4 : 5
the answer is good
PLEASE HELP! PLEASE!!!!!!!
Using the equation of the proportional relationship:
Average rate of speed = 60
Time taken to go 300 miles = 5 hrs
Distance travelled in 2.5 hrs = 150 miles
What is a Equation of a Proportional Relationship?A equation of a proportional relationship models the relationship between two variables, x and y, that has a constant of k. It is expressed as y = kx.
Given the following:
Equation: d = 60t
d = distance in miles
t = time in hours
Average rate of speed for the bus = k = 60
Time (t) it would take to go 300 miles (d):
300 = 60(t)
300/60 = t
t = 5 hours
Distance (d) it would travel in 2.5 hours (t):
d = 60(2.5)
d = 150 miles
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a camp charges $40 per student for a full-day camp and the camp only runs if 5 students enroll but the enrollment limit is 16 students. the amount of revenue that the camp collects is a function of the number of students that enrolled defined by this equation: [tex]R(n)=40n[/tex]
please describe the set of all possible outputs of this function
please describe the set of all possible inputs of this function
The set of input of the function are {5, 6, 7, 8, 9,10, 11, 12,13, 14, 15, 16 }
The set of output of the function is a multiple of 40 from 200 to 640
How to find the output and input of a function?The input of the function can be found as follows:
The camp can only run if we have at least 5 students.
The limits of student is 16.
Therefore, the input are {5, 6, 7, 8, 9,10, 11, 12,13, 14, 15, 16 }
The output are the dependent variables or the range. They are gotten when we input the values of the input in the function.
Therefore,
R(n) = 40n
R(5) = 40(5) = 200
R(16) = 40(16) = 640
The output are multiple of 40 from 200 to 640
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Graph the function y = x3 + x2 – 6x + 5. What are the coordinates, to the nearest tenth, of the relative maximum of the graph?
(1.1, 0.9)
(1.5, 1.3)
(–2.2, 15.8)
(–1.8, 13.2)
The coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)
How to determine the relative maximum?The equation of the function is given as:
y = x^3 + x^2 – 6x + 5
Next, we plot the graph of the function (see attachment)
From the attached graph, we have the relative maximum to be at:
(x,y) = (-1.8,13.2)
Hence, the coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)
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Answer me pleaseeee. What is 3*3*3*3*3*3*3*3*8*8*0*8*8*9*8*6? Gk test
Answer:
0
Step-by-step explanation:
Since we're multiplying by 0, the entire product becomes 0.
Answer:
it's 0.
Step-by-step explanation:
3*3*3*3*3*3*3*3*8*8*0*8*8*9*8*6
= 0
there is a zero hidden . so it's zero.
what is the of 6 in 46.97
Choose the answer.
Use the net to determine the total surface area.
Answer:76cm³
Step-by-step explanation:
5x4÷2=10cm²
10cm²x4=40cm²
6²=36cm²
40+36=76cm³
Can someone help me
Answer:
1) 33.333...%
2) 33.333...%
Step-by-step explanation:
4 students out of 12 are wearing all color.
4 students out of 12 are wearing blue shoes.
Find the area to the nearesy square foot of the shaded region below, consisting of a square with a circle cut out of it.
Based on the calculations, the area of the shaded region is equal to 22 square foot.
How to calculate the area of the shaded region?By critically observing the geometric shapes, the area of the shaded region can be calculated by using this formula:
Area of shaded region = Area of square - Area of circle.
Note: The diameter of this circle is equal to the side length of the square because the circumference of this circle lies on the circumference of the square.
Radius = diameter/2 = 10/2 = 5 feet.
For the area of square, we have:
Area of square = S²
Area of square = 10²
Area of square = 100 square foot.
For the area of circle, we have:
Area of circle = πr²
Area of circle = 3.14 × 5²
Area of circle = 78.5 square foot.
Substituting the parameters into the formula, we have;
Area of shaded region = Area of square - Area of circle.
Area of shaded region = 100 - 78.5
Area of shaded region = 21.5 ≈ 22
Area of shaded region = 22 square foot.
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Complete Question:Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.
brian is 6 feet tall and cast a 4 foot shadow. At the same time, a nearby flag pole cast a 20 foot shadow. How tall is the flag pole?
Answer:
30
Step-by-step explanation:
Given:
Brian Height = 6 feet
Brian Shadow Height = 4 foot
Flag Shadow Height = 20 foot
Flag Height = Unknown ??
So we can use cross multiplication
6/4 = x/20
6×20/4 = x
6×20 =120
120÷4 = 30
So x= 30, which is the Flag Height
I wish that I helped you with this.
As per linear equation, the height of the flag pole is 30 feet.
What is a linear equation?A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.
Given, Brian is 6 feet tall and cast a 4 feet shadow.
Therefore, the ratio of Brain and it's shadow is
= 6/4
= 1.5
A flag pole cast a 20 foot shadow.
Therefore, the height of the flag pole is
= 20 × 1.5 feet
= 30 feet.
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5m + 6n; m = 2 and n = 4
Answer:
34
Step-by-step explanation:
Substitute values given into expression and simplify :
5(2) + 6(4) =
10 + 24 =
34
Hope this helped and have a good day
Jordan is planning to buy a vehicle. He has the following choices.
Type: sedan or SUV
Transmission: 5-speed or automatic
Color: red, blue, black, green, or silver
Top: sunroof or no sunroof
Jordan says that he has a total of 2 + 2 + 5 + 2, or 11, possible vehicle choices. What is Jordan’s error?
He should have multiplied the sum by 4.
He should have added only the choices for type and transmission.
He should have multiplied only the choices for type and transmission.
He should have multiplied the choices, instead of adding them.
Jordan's error is He should have multiplied the choices, instead of adding them. Thus, the correct option is D.
What are the number of choices?Whenever you have multiple choices, you have to multiply the number of choices you have in different groups to get the final number of choices.
For example, you have to make a sandwich and you can either use white bread or brown bread. Also, you can either use jam or peanut butter or veggies. Therefore, here the number of choices is 6.
White bread and JamWhite bread and Peanut butterWhite bread and VeggiesBrown bread and JamBrown bread and Peanut butterBrown bread and VeggiesSimilarly, Jordan has two choices for type, two choices for transmission, 5 choices for color, and 2 choices for the top. Therefore, the number of choices Jordan has is,
Number of choices in total = 2 × 2 × 5 × 2
Hence, Jordan's error is He should have multiplied the choices, instead of adding them. Thus, the correct option is D.
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Answer:
D
Step-by-step explanation:
If the total bill was $36 and I leave the waiter 9$, what percent is the tip
Answer:
25%
Step-by-step explanation:
percent = part/whole × 100%
percent = 9/36 × 100%
percent = 25%
Answer:
25%
Step-by-step explanation:
If you divide 36 by 9 you get 4. If you do the same for 100, and divide by four, you get 25. Therefore, 9 is 25% of 36.
A unicycle wheel makes five rotations. The unicycle travels 37.94 feet. Find the diameter of the wheel in inches. Use 3.14 for pi. Round to the nearest tenth of an inch
Answer:
Im not completely sure tho
Step-by-step explanation:
3.141529 I think so 3.14
(b) 3√2 x 5√8
i don't know how to solve it
Answer:
60
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
given
3[tex]\sqrt{2}[/tex] × 5[tex]\sqrt{8}[/tex]
= 3 × 5 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{8}[/tex]
= 15 × [tex]\sqrt{16}[/tex]
= 15 × 4
= 60
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students–65 boys and 95 girls–going on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls.
Answer:
The representative sample contained more girls than boys.
Step-by-step explanation:
Since there is roughly 1.5x more girls than boys, the sample size will likely contain more girls than boys when chosen at random.
Question 6(Multiple Choice Worth 1 points)
(01.05 LC)
Which calculation can be used to find the value of q in the equation q³ = 64?
Answer:
q = ³√64
(cube root 64 )
explanation :
we have to find the value of q but it's given q³ so to find the value of only q we send ³ to other side and it turns into cube root
for example :
like when it's q² = 64 it will be q = ²√64
help pls!!1!1!1!1!1!1!1!!1!1!1!1
Answer:
a) high ropes course
b) white water rafting
Step-by-step explanation:
what the volume of the soild
Answer:
A.264
Step-by-step explanation:
((Area Of triangle*height)=Volume
Area of triangle is the base of the triangle multiplied by height of triangle divided by 2
((8*6)/2)*11=264
can someone help me find the missing ones
Answer:
The answer is in Step.
Step-by-step explanation:
Domain: (- inf, + inf)
Range: (- inf, 3]
Increasing: (- inf , 0)
Decreasing: (0 , + inf)
Positive: (- 1 , 1 )
Negative: (- inf , -1) , (1 , + inf)
Maximum: (0,3) or just 3.
Minimum: None.
x-int: -1, 1
y-int: 3
raito 6 servings per platter
Answer: 6:1
Step-by-step explanation:
Compute the average 7 5 10 2 8 4
Answer:
6 is the average
Step-by-step explanation:
You add all the numbers together
7 + 5 + 10 + 2 + 8 + 4 = 36
and then divide by the amount of numbers
36/6=6
19. In June, Cory begins to save money for a video game and a TV he wants to buy in Decembe
He starts with $24. Each month he plans to save 10% more than the previous month. How
much money will he have at the end of December?
O$203.74
O$177.34
O$227.69
O$185.22
The amount of money that he should have at the closing of December should be $227.69.
The correct answer choice is option C
How to find total savings?Given that,
Starting amount = $24And, it plans to save 10% more as compared to the last month.
The amount of money that he should have at the closing of December can be solved using the concept of geometric sequence.
First term, a = $24
Common ratio, r = 1.10
Number of terms, n = 7
So,
Sn = a1×(r^n -1)/(r -1)
S7 = 24×(1.10^7 -1)/(1.10 -1)
= (24×0.948717) / 0.10
= $227.69
The total amount Cory will have saved by the end of December is approximately $227.69
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Answer:
(c) $227.69
Step-by-step explanation:
The amounts Cory will be adding to his account comprise a geometric series with first term $24 and each successive term 10% more, or 1.10 times the previous term. The total amount Cory will have saved by the end of December is the sum of 7 terms of the series.
__
sum of geometric seriesThe sum of ...
24 +1.10×24 +1.10²×24 +... +1.10⁶×24
is given by the formula ...
Sn = a1×(r^n -1)/(r -1)
where a1 is the first term (24), and r is the common ratio (1.10).
formula applicationFor the series representing Cory's deposits, we have ...
S7 = 24×(1.10^7 -1)/(1.10 -1) = 24×0.948717/0.10 ≈ 227.69
At the end of December, Cory will have about $227.69.
_____
Additional comment
A financial calculator or app can also tell you the value of an annuity with a 10% increase per period.
What are the zeros of the quadratic function f(x) = 6x² - 24x + 1?
A.
[tex]x = - 2 + \sqrt{ \frac{1}{2} } or \: x = - 2 \: - \sqrt{ \frac{1}{2} } [/tex]
B.
[tex]x = 2 + \sqrt{ \frac{1}{2} } \: or \: x = 2 - \sqrt{ \frac{1}{2} } [/tex]
C.
[tex]x = - 2 + \sqrt{ \frac{23}{6} } \: or \: x = - 2 - \sqrt{ \frac{23}{6} } [/tex]
D.
[tex]x = 2 + \sqrt{ \frac{23}{6} } \: or \: x = 2 - \sqrt{ \frac{23}{6} } [/tex]
Answer:
D.
Step-by-step explanation:
Use Quadratic formula
x = [-b +- sqrt (b^2 - 4ac) ] / 2a with a = 6 b = -24 c = 1
to find
x = 2 ± sqrt (23/6)
The Code of Conduct ____________ for military members when isolated or held against their will by entities hostile to the U.S.
The Code of Conduct is a moral guide for military members when isolated or held against their will by entities hostile to the U.S.
What is a code of conduct?A code of conduct is a set of laid down rules that sets the standard for behavior under specific circumstances.
Hence, the Code of Conduct is a moral guide for military members when isolated or held against their will by entities hostile to the U.S.
Missing parts;
The Code of Conduct is a ____________ for military members when isolated or held against their will by entities hostile to the U.S. moral guide recommended procedure mandatory directive direct order
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Find the output, y, when the input, a, is 4.
-8-0
6
2
09
a
congruent figures someone please help
An intravenous solution needs 2 liters (L) of glucose to be mixed with 7 units of blood. How much glucose (in liters) is needed for 30 units of blood
8.57 liters glucose (in liters) is needed for 30 units of blood.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
For 7 units of blood = 2 l of glucose needed.
Foe 1 units of blood, glucose needed = 2/7
For, 30 units of blood , glucose needed = 8.57 liters
Hence, 8.57 liters glucose (in liters) is needed for 30 units of blood.
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Find the equation of a line passing through (3,4) and (1,-4). Enter your answer in the slope-intercept form (namely, type your answer exactly in the form of y = mx + b).
Answer:
y=4x−8
Step-by-step explanation:
A biology class at Central High School predicted that a local population of animals will double in size every 12 years. The population at the beginning of 2014 was estimated to be 50 animals. If P represents the population n years after 2014, then which of the following equations represents the class's model of the population over time?
p = 12 + 50m
p = 50(2)^ 12n
p = 50 + 12n
p = 50(2)^(n/12)
The equation represents the class's model of the population over time will be P = 50(2)^(n/12). Then the correct option is D.
What is an exponent?Consider the function:
y = a (r)ⁿ
Where n is the number of times this growth occurs, a = initial amount, and r = increasing amount of growth.
A biology class at Central High School predicted that a local population of animals will double in size every 12 years.
The population at the beginning of 2014 was estimated to be 50 animals.
If P represents the population n years after 2014.
Then the equation represents the class's model of the population over time will be
[tex]\rm P = 50(2)^{n/12}[/tex]
Then the correct option is D.
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Answer: D is correct
Step-by-step explanation: