Answer:
Part 1) Option A. f of x equals one half times x plus 16
Part 2) Option A. x = 5
Part 3) Option C. x − 4y = −9
Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.
Step-by-step explanation:
Part 1)
Let
x -----> the number of months
y ----> vertical jump in inches
step 1
Find the slope
we have the points
(0,16) and (2,17)
The equation of the line in slope intercept form is
we have
-----> the point (0,16) is the y-intercept
substitute
convert to function notation
f(x)=y
Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?
step 1
Find the slope
we have the points
(5, 0) and (5, −2)
the slope is undefined
This is a vertical line (parallel to the y-axis)
therefore
The equation is
x=5
Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)
step 1
Find the slope
we have the points
(−1, 2) and (3, 1)
step 2
Find the equation of the line into point slope form
we have
substitute
Convert to standard form
Multiply by 4 both sides to remove the fraction
Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario
we know that
The independent variable is the variable whose change isn’t affected by any other variable (An example the age and time)
The dependent variable it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))
Let
x ----> the number of rides
y ----> the total cost in dollars
In this problem
The independent variable or input is the number of rides
The dependent variable or output is the total cost
-brainly user
Answer:
Your function would be y = 1/2x + 16.
Explanation:
Points: (0, 16); (2, 17)
Slope: m = (17 - 16) / (2 - 0) = 1/2
Slope intercept form: y = mx + b
So, if the slope equals 1/2 and the y-intercept is (0, 16), you would use substitution to get y = 1/2x + 16.
Therefore, your ending function is y = 1/2x + 16.
product of (7x + 2) and (5x − 11)?
Step-by-step explanation:
Answer:
[tex]35x^{2}-67x-22[/tex]
Step-by-step explanation:
:)
The population of a school is 800 and is decreasing at a rate
of 2% per year; 4 years
Answer:
i think the answer is 738
The university of Toronto has about 91,000 student registered. If this number is rounded to the nearest thousandth, which of the following is a possible number of students? Answer ASAP please!
A. 92,392
B. 90,439
C. 91,142
D. 91,984
Factor the expressions.
9. 3x + 2410.
10. 9c - 63
solve both and number the answers
Answer:
[tex]3x + 2410 \\ x = 2410 - 3 \\ x =2407 \\ \\ \\ 9c - 63 \\ 9(c - 7) [/tex]
The number pattern shows a skip-counting rule. 5,20,35,50,65. Which number pattern follows the same rule?
Answer:
You keep adding 15.
Step-by-step explanation:
5+15=20
20+15=35
35+15=50
50+15=65
do you guys know the answer to this problem?
On Tuesday, Bob brought home an oriental carpet on approval. The price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars. On Tuesday, one dollar was worth 4.5 Turkish Lira. On Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira. Feeling lucky by this change, Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate. To the nearest dollar, how much did he save due to the devaluation?
Answer:
Rounded to the nearest dollar, Bob saved $677 by buying the carpet on Wednesday.
Step-by-step explanation:
Since on Tuesday, Bob brought home an oriental carpet on approval and the price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars and, on Tuesday, one dollar was worth 4.5 Turkish Lira but on Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira, with which Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate, to determine to the nearest dollar, how much did he save due to the devaluation the following calculation must be performed:
(9,900 / 4.5) - (9,900 / 6.5) = X
2,200 - 1,523.07 = X
676.92 = X
So, rounded to the nearest dollar, Bob saved $ 677 by buying the carpet on Wednesday.
A rectangular piece of metal 12 cm long 18 cm wide and 10 cm high is melted and recast into 45 cylindrical plates,each of radius 1.2 cm.Find the thickness of each plate giving your answer correct to 2 decimal places?
Answer:
10.61 cm
Step-by-step explanation:
From the question,
The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.
Volume of a cuboid = 45×volume of a cylinder
lwh = 45×πr²h..................... Equation 1
Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.
make h the subject of the equation
h = lwh/(45πr²).................... Equation 2
Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm
Constant: π = 3.142.
Substitute these values into equation 2
h = (12×18×10)/(45×3.142×1.2²)
h = 2160/203.60
h = 10.61 cm.
What is the value -5(-2)
Answer: 10
Step-by-step explanation: When multiplying integers,
if the signs are the same, the product is positive.
So a negative times a negative always equals a positive.
Therefore, -5(-2) is 10.
Answer:
10
Step-by-step explanation:
-5 x -2 = 10
please help i’ll give brainliest if you help thanks
Answer:
4b.
Step-by-step explanation:
Use the table. What inference can you make by comparing the measures of variability? Use the drop-down menus to explain your answer.
Finish Times of 30 Runners
in the 100-meter Dash
Mean MAD
Last Year 16.2s 1.2
This Year 14.7s 1.9
The is greater for this year’s 100-meter dash, which suggests that all 30 students equally.
Answer:
The first one is mean absolute deviation and the second one is did not improve
Step-by-step explanation:
I took the test
The MAD is greater for this year’s 100-meter dash, which suggests that all 30 students did not improve equally.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
The given table is:
Mean MAD
Last Year 16.2 s 1.2
This Year 14.7 s 1.9
Looking at this table we can see that this year, the meantime is smaller than the one from last year, so the runners are faster on average.
The mean absolute deviation is bigger, but the change in the mean is bigger.
difference of the mean 16.2 - 14.7 = 1.5
difference of the MAD 1.9 - 1.2 = 0.7
This means that the average speed of the runners increased since last year,
and the fact that the MAD increased means that not all the runners increased their speed at the same rate, so now the speeds of the different runners are not as alike as last year.
Learn more about Mean here:
https://brainly.com/question/521501
#SPJ3
Find the surface area of a cube with sides = 9 inches. Think about finding area of 1 face and then multiplying by 6.
Answer:
Step-by-step explanation:
389 / 106
Round off to the nearest whole number
Answer:
thi is the answer 3.66981132
Step-by-step explanation:
u just divided it
AYO CAN YOU BE MY BAKA (HELP ME WITH MATH)
Answer:
Addition
Step-by-step explanation:
1) Add 275 to both sides.
[tex]800 + 275 = p[/tex]
2) Simplify 800 + 275 to 1075.
[tex]1075 = p[/tex]
3) Switch sides.
[tex]p = 1075[/tex]
We need to add in order to solve the equation.
so therefor, the answer is option G.
Answer:
Addition
Step-by-step explanation:
Are these ratios equivalent?
6 men to 7 women
12 men to 14 women
Answer:
Yes 6 times 2 is 12 and 7 times 2 is 14
Answer:
6:7=12:14
12:14=6:7
:-)))
PLEASE HELP ME ITS TIMED!!
Answer:
x=10
Step-by-step explanation:
x^2 + 24^2 = 26^2
x^2 + 576 = 676
x^2 = 100
√x^2 = √100
x=10
Answer:
well, we carry 2 of 2 of x so we know that 10 is in because of 6 +4 and 2+2=4 add them up so if im correct its 14 mark brainleist
Step-by-step explanation:
There are 80 students in a 8th grade, 20% are boys. How many boys are in 8th
grade?
Answer:
16 boys
Step-by-step explanation:
Lets go with easy example:
20% of 100 students means 20 students: what is done there
We converted 20% to 20/100 so[tex]\frac{20}{100}*100=20[/tex]
Lets do the same with 80 students as well
[tex]\frac{20}{100}*80=16[/tex]
Answer:
16
Step-by-step explanation:
[tex]\frac{20}{100} x \frac{x}{80} =16[/tex]
or do
80 x 0.20=16
both works
PLEASE HELP WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!! Which of the following could be factored by grouping?
a: ab+ad-ac+ae
b: ac+ad+bc-bd
c: ac+ad+bc+bd
d ab+cd-ab+cd
Answer:
B
Step-by-step explanation:
Please make me branlist
Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Factorization by grouping means grouping the terms with common factors before factoring.
Given the equation:
ac + ad + bc + bd
Factorizing by grouping:
= a(c + d) + b(c + d)
= (a + b)(c + d)
Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)
Find out more on equation at: https://brainly.com/question/2972832
—-PLEASE HELP QUESTION IS IN THE PICTURE-
is this wrong?
looks good I can't see anything wrong
Nathan is going to invest in an account paying an interest rate of 4.8% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $1,310 in 13 years?
Answer:
700
Step-by-step explanation:
Answer:
$712
Step-by-step explanation:
A x (1 + 4,8%)¹³ = 1310
=> A = 1310 : (1 + 4,8%)¹³ = 712,1551532
Help me answer this please
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
A hemispherical tank is filled with water and has a diameter of 22 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?
Answer:
just do the exam
Step-by-step explanation:
Answer:
173,949 lb
Step-by-step explanation:
Volume of a sphere:
[tex] V_{sphere} = \dfrac{4}{3}\pi r^3 [/tex]
A hemisphere is half of a sphere, so its volume is half of the volume of a sphere with the same diameter. Also, radius = diameter/2.
[tex] V_{hemisphere} = \dfrac{2}{3}\pi (\dfrac{d}{2})^3 [/tex]
[tex] V_{hemisphere} = \dfrac{2}{3} \times 3.14159 \times (\dfrac{22~ft}{2})^3 [/tex]
[tex] V_{hemisphere} = 2787.639~ft^3 [/tex]
Now we use the density of water to find the weight of the water contained in the tank.
weight = volume * density
weight = 2787.639 ft^3 * 62.4 lb/ft^3
weight = 173,949 lb
what is the slope of the equation y=2/3x-4
Answer:
2/3
Step-by-step explanation:
y=mx+b
y=2/3x-4
m=slope
b=y intercept
If 2 inches on a map represents 100 miles, how much does 3.5 inches
represents on the same map? *
Answer:
175 miles
Step-by-step explanation:
3.5 has 2 miles in it so it has 100 then it has another 1 to make It 3 and half of 2 is ahh it's hard to explain but there's the anwser
I need some help please it’s due in 20 minutes!
Answer:C
Step-by-step explanation:
I am not that sure.. but I think the answer is C.
Lines A and B parallel lines cut by the transversal c. If the measure of angle 5 is 123, what is the measure of angle 1?
Will mark b if correct:)
How to Simplify (7^6)^2
Answer:
Well, since your question is asking how to simplify and not the actual answer itself, all we have to do is first simplify 7^6=117,649. Now we just take that number and make it 117,649^2. I hope im correct with the way i set up the equation even though the number is absurdly large
Step-by-step explanation:
Answer: (7⁶)² = 7¹²
Step-by-step explanation:
All you have to do is multiply the exponents here and keep the 7. So, your final answer is 7¹².
Hope this helps, and don't forget to mark me brainliest! Have a wonderful day!
help plz im so stuck
Answer: yes
Step-by-step explanation:
Which ordered pairs are solutions to the system of linear equations?
y = 2x + 1
2y - 4x = 2
O (0,1)
O (1,0)
O (2,3)
O (-1, - 1).
0 (0,0)
O (-1,3)
Answer:
answer is (0,1).........
can someone help me with this and show me the steps if you don't mind
Answer:
(x+8)(x+5)
Step-by-step explanation:
Since we know x2 is equivalent to x times x we can automatically start by filling in the first two spaces with x. Then since we know that we're going to need two numbers that equal forty since it's part of the equation we can get two number that will also add up to 13x which is 8 and 5. We then get (x+8)(x+5). (Sorry lol this question is kind hard to explain over the computer.)