Luke’s payment on his new phone will be $70 per month for 12 months. Assuming the phone costs $830 at sale, how much interest will he have paid when he pays the loan on fuel
Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect? y2 + x2 = 100 g(x) graph of the function y squared plus x squared equals 100 x g(x) −1 −22 0 −20 1 −18
Yes, at positive x coordinates
Yes, at negative x coordinates
Yes, at negative and positive x coordinates
No, they will not intersect
Answer:
Yes, at positive x coordinates
Step-by-step explanation:
Find the equation of g(x)
Given ordered pairs of g(x): (-1, -22) (0, -20) (1, -18)
[tex]\sf let\:(x_1,y_1)=(0,-20)[/tex]
[tex]\sf let\:(x_2,y_2)=(1,-18)[/tex]
[tex]\sf slope\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-18-(-20)}{1-0}=2[/tex]
Point-slope form of linear function: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-(-20)=2(x-0)[/tex]
[tex]\implies \sf y=2x-20[/tex]
Substitute the equation of g(x) into the equation of the circle and solve for x
Given equation: [tex]y^2+x^2=100[/tex]
[tex]\implies (2x-20)^2+x^2=100[/tex]
[tex]\implies 4x^2-80x+400+x^2=100[/tex]
[tex]\implies 5x^2-80x+300=0[/tex]
[tex]\implies x^2-16x+60=0[/tex]
[tex]\implies x^2-10x-6x+60=0[/tex]
[tex]\implies x(x-10)-6(x-10)=0[/tex]
[tex]\implies (x-6)(x-10)=0[/tex]
Therefore:
[tex](x-6)=0 \implies x=6[/tex]
[tex](x-10)=0 \implies x=10[/tex]
So the linear function g(x) will intersect the equation of the circle at positive x coordinates.
Which equation is represented by the graph below?
i’ll make brainlyesttttt
Answer:
y=e^x - 4
Step-by-step explanation:
The log functions decrease with increasing x. The line shown increases as x increases, so it must be one of the two e^x equations. We can decide which one by calculating which equation povides the correct values to match the two points the curve crosses the y and x axes.
The graph shows the line crossing the y axis at -3 (0,-3)
It shows it crossing the x axis at a little over 1, perhaps 1.4 (1.4,0).
When x=0, e^0 = 1.
Look at the point (0,-3):
We know the e term will be 1 (e^0 = 1), so for y to be -3, we need to subtract 4: The form e^x - 4 would yield a value for y, when x is 0, of y = 1 - 4 or -3.
Check the other point (1.4,0):
y = e^1.4 is equal to 4.00
y = 4.00 - 4
y = 0
This point is also correct (1.4,0)
The correct equation is y=e^x - 4
Find the total surface area of this square based
pyramid.
10t
10 ft
Answer:
300 is the answer
Step-by-step explanation:
area of triangle-BxH/2
area of square- LxW
10x10=100/2=50
50x4=200
+100
=300
someone please please help me i need this asap and i’m struggling so much !!!
Answer:
21.5 square units
Step-by-step explanation:
The 4 circles touching eachother have a total combined length of 20.
There are 4 circles. 20/4 = 5. The diameter of each circle is 5 units.
The length ofthe rectangle is 20 units. the width of the rectangle is 5 units.
The area of the shaded region is the area of the rectangle minus the ares of 4 circles.
A = area of rectangle - area of 4 circles
A = LW - 4 × πr²
The radius of each ciorcle is d/2 = 5/2 = 2.5
A = 20 × 5 - 4 × 3.14 × 2.5²
A = 100 - 78.5
A = 21.5
Determine the arc length of 24pi find the radius
If the area of a circle is 74.2 ft squared, what would the circumference of the circle be?
Answer:
[tex]C=30.536\ ft[/tex]
Step-by-step explanation:
Step 1: Determine the radius
[tex]A = \pi *r^2[/tex]
[tex]74.2\ ft^2=\pi *r^2[/tex]
[tex]\frac{74.2\ ft^2}{\pi }=\frac{\pi *r^2}{\pi }[/tex]
[tex]23.619\ ft^2=r^2[/tex]
[tex]\sqrt{23.619\ ft^2}=\sqrt{r^2}[/tex]
[tex]4.8599\ ft=r[/tex]
Step 2: Determine the circumference
[tex]C=2*\pi *r[/tex]
[tex]C=2*\pi *4.8599\ ft[/tex]
[tex]C=30.536\ ft[/tex]
Answer: [tex]C=30.536\ ft[/tex]
What is the slope of a line that passing through the points ( 6 , -10 ) and ( 8, -18) ?
Answer:
Slope = -4
Step-by-step explanation:
Given:
Point 1: (6,-10)Point 2: (8,-18)Rate of change (Slope) formula:
[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1} }[/tex]
Where:
y₂ = y-coordinate of second point = -18y₁ = y-coordinate of first point = -10x₂ = x-coordinate of second point = 8x₁ = x-coordinate of first point = 6Substitute the coordinates of the given points in the formula to determine the slope of the line (Rate of change).
[tex]\implies \text{Slope} = \dfrac{(-18) - (-10)}{8 - 6 }[/tex]
Finally, let's simplify the fraction on the right hand side as needed.
[tex]\implies\text{Slope} = \dfrac{(-18) + 10}{8 - 6 }[/tex]
[tex]\implies \text{Slope} = \dfrac{-8}{2 } = -4[/tex]
Therefore, the slope of a line that passes through (6 , -10 ) and (8, -18) is -4.
Over time, Bailey has buried 4 large bones and 6 small bones in a hole. What is the ratio of small bones to large bones in the hole?
Answer: the ratio is 6:4
Step-by-step explanation:
the amount of large bones is 4 so:4 and the number of small bones is 6 so 6:
so the answer is 6:4
Answer:
3:2
Step-by-step explanation:
4/2=2
6/2=3
find the common factor which is 2, divide both by 2
please mark me brainest
Answer number 16 please
Jim's cards increased more
Omar and Zina Aboud found that the dealer's cost of the base price was $16,558. 16 and the dealer's options cost was $611. 60. The consumer paid the $475. 00 destination charge. If the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, find the car's sticker price
Assuming the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, The car's sticker price is: $17,644.76 and the dealer price is $16,246.72.
Car's sticker price and dealer's pricea. Car's sticker price:
Using this formula
Car's sticker price=Base price+Options cost+Destination charge
Let plug in the formula
Car's sticker price=$16,558. 16 + $611. 60+$475. 00
Car's sticker price=$17,644.76
b. Dealer price:
Dealer's price=Percent of base price+Percent of options cost+Destination charge
Let plug in the formula
Dealer price=16,558. 16+$611. 60+$475.00
Dealer price=$16,246.7152
Dealer price=$16,246.72 (Approximately)
Inconclusion the car's sticker price is: $17,644.76 and the dealer price is $16,246.72.
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what is the area of base for 7mm height and 7mm radius cylinder?
Answer:
153.94 mm^2
Step-by-step explanation:
area of base = area of a circle = Pi * radius squared
radius squared = 49
area of base = Pi * 49
area of base = 153.94
Brainliest to answer correct Nell wrote the expression x + 0.12x = 1.12x to show that “increase by 12%” is the same as “multiply by 1.12”. Write a similar expression for “decrease by 26%”. What does it show?
Answer
To solve the equation, factor x
2
−7x+12 using formula x
2
+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=−7
ab=12
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 12.
−1,−12
−2,−6
−3,−4
Calculate the sum for each pair.
−1−12=−13
−2−6=−8
−3−4=−7
The solution is the pair that gives sum −7.
a=−4
b=−3
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x−4)(x−3)
To find equation solutions, solve x−4=0 and x−3=0.
x=4
x=3
Step-by-step explanation:
a brick has a mass od 1,200 grams. what is the mass of the brick in kilograms?
Answer:
1.2 kilograms
Step-by-step explanation:
1 kilogram is equal to 1000 grams
Therefore we can divide the weight by 1000 in order to find the amount of kilograms
1200/1000 = 1.2
Answer:
1.2
Step-by-step explanation:
1 gram is 0.001 kilograms
or 1000 kilograms to a gram
so 1200 grams is 1.2 kilograms
Johnny went to the park at 10:45am and left at 12:00pm. How long was he at the park?
[tex]\huge\mathcal{\fbox{\fbox\red{Hello}}}[/tex]
[tex]\large\underline{\mathbb{AnSwEr}:}[/tex]
10:45 am to 11:00 am : 15 minutes
11:00 am to 12:00 pm= 1 hour
Total Time= 1 hour 15 minutes.
so he was 1 hour 15 minutes at the park.
went at 10:45 AM
left at 12:PM
to find:the duration he was at the park.
solution:( to find the duration just find the difference of the time he left and went.
= 1 hour 15 mins.
therefore, he was at the park for 1 hour 15 mins.
What is the median, first quartile third quartile and interquartile of 38 46 55 56 558 59 61 65 67 75
Answer:
Median = 58.5
Q1 = 55
Q3 = 65
Interquartile = 10
Step-by-step explanation:
first let’s correct the data set :
It’s 38 46 55 56 58 59 61 65 67 75 not 38 46 55 56 558 59 61 65 67 75
Data set : 38 46 55 56 58 59 61 65 67 75
Median:
After we put Our data set from Smallest to largest
we define the median as the middle number of the data set but our set consists of an even number which is 10
In this case the median is the average of the two middle numbers which are the 5th and 6th numbers
38 46 55 56 [58 59] 61 65 67 75
Then
Median = (58+59)/2 = 117/2 = 58.5
quartile 1 : It’s just the median of the lower set of numbers which means it’s the median of : 38 46 55 56 58
Then Q1 = 55 because it’s the middle number.
quartile 3 : It’s just the median of the upper set of numbers which means it’s the median of : 59 61 65 67 75
Then Q3 = 65 (Easy to spot)
Interquartile = Q3 - Q1 = 65 - 55 = 10
Which of the following conclusions is not supported by this diagram?
There are currently several million people living in the country.
Slightly more boys than girls were born during the past five years.
O The population growth has been steadily increasing for the past 25 years.
O The country experienced a population "boom" between 30 and 35 years ago.
Answer:
The answer should be A
Step-by-step explanation:
Hope this helps.Tell me if its wrong.
The population growth has been steadily increasing for the past 25 years is not supported by this diagram. Correct option is A.
The diagram does not provide information about the population growth trends for the past 25 years. It only shows the population pyramid at a specific point in time, with age and gender distributions. It does not indicate the population growth rate over the last 25 years or whether it has been increasing steadily during that period.
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Which expression has the greatest value? A-2 - 4, +16 4+1 B-2-(-4) +16 C -2 +4 +(-16) D 2-4-(-16)
option B
hope it helps...!!!
Please help me out ;)
Answer:
for every 21 votes for A there were 6 for b or 9 for c
Step-by-step explanation:
63 divided by 3
18 divided by 3
27 divided by 3
need help
complete solution and correct aanswer
Answer:
17.0 m/s
Step-by-step explanation:
Using SUVAT:
[tex]s= \\u=7.0\:\textsf{m/s}\\v=v \\a=2.0\:\textsf{m/s}^2\\t=5\: \sf s[/tex]
[tex]\begin{aligned}\textsf{Using}\quad v & =u+at\\ \implies v & = 7.0+2.0(5)\\ & = 7.0+10.0\\ & = 17.0\:\textsf{m/s} \end{aligned}[/tex]
10Which best describes a system of equations that has infinite solutions?
Answer:
FOR CONNEXUS UNIT 3 LESSON 1 SOLVING SYSTEMS BY GRAPHING 1. C 2. A 3. A 4. A
Step-by-step explanation:
a high school club is researching a tour package offered by the island kayak company. the company charges $35 per person and $245 for the tour guide. which function represents the total cost, c(x), of this kayak tour package for x club members? A. C(x) = 35x B. C(x) = 35x+245 C. C(x) = 35(x+245) D. C(x) = 35 + (x+245)
The function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x
How to calculate the total cost on a package?According to the given question, we have the following parameters
Amount charged on tour guide = $245
Let the total number of club members charged be "x", such that if the company charges $35 per person, the total cost on "x" members will be 35x
Determine the total costTotal cost = Amount charged on tour guide + cost of "x" members
Total cost = 245 + 35x
Hence the function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x
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A sphere has a volume of 904 cm3. If its radius is increased by a scale factor of 4, then the new volume is 57,856 cm3.
Answer:
what exactly are you looking for?
Step-by-step explanation:
help please?? find the area of the rhombus.
The area of the rhombus with length of diagonals 12 cm and 12 cm is 72 centimetre squared.
Area of a rhombusThe area of a rhombus can be represented mathematically as follows:
area of a rhombus = ab / 2
where
a and b are the length of the diagonala = 6 + 6 = 12 cm
Therefore, let's find b
tan 45 = opposite / adjacent
tan 45 = 6 / x
x = 6 / tan 45
x = 6 / 1
x = 6
b = 6 + 6 = 12 cm
Therefore,
area = 12 × 12 / 2
area = 144 / 2
area = 72 cm²
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The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.
Find the base and the height of the triangle.
Answer:
b = 10 ft , h = 6 ft
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
let base = b theh height h = b - 4
given A = 30 , then
[tex]\frac{1}{2}[/tex] b(b - 4) = 30 ( multiply both sides by 2 to clear the fraction )
b(b - 4) = 60 ← distribute parenthesis on left side by b
b² - 4b = 60 ( subtract 60 from both sides )
b² - 4b - 60 = 0
(b - 10)(b + 6) = 0
equate each factor to zero and solve for b
b - 10 = 0 ⇒ b = 10
b + 6 = 0 ⇒ b = - 6
however, b > 0 , then b = 10
and h = b - 4 = 10 - 4 = 6
then base is 10 ft and height is 6 ft
Use whole numbers and decimals to write 19.06 in expanded form.
Answer:
90.125
Step-by-step explanation:
Answer:
Step-by-step explanation:
19.125
what is -2(-y) in expanded form
Answer:
2y
Step-by-step explanation:
[tex](-2)(-y) = (-1)(2)(-1)(y) = (-1)^2\ccdot 2y = 2y[/tex]
HELPPP ME BAE!!!!!!!!!!!!!!!!!!!
Answer:
I think it would be B
Step-by-step explanation:
Because if you look at it neither of the x or y's are the same and if you multiply the second equation by 2 than you would have the same y in both problems which is 4y
please help asap i need this for my essay (35 points)
ʏᴏᴜ’ᴠᴇ ʟᴇᴀʀɴᴇᴅ ᴀʙᴏᴜᴛ ꜰᴜɴᴄᴛɪᴏɴ ɴᴏᴛᴀᴛɪᴏɴ ɪɴ ᴘʀᴇᴠɪᴏᴜꜱ ʟᴇꜱꜱᴏɴꜱ,
ʙᴜᴛ ᴄᴏᴜʟᴅ ʏᴏᴜ ᴜꜱᴇ ꜰᴜɴᴄᴛɪᴏɴ ɴᴏᴛᴀᴛɪᴏɴ ᴛᴏ ᴀᴅᴅ ᴛᴡᴏ ꜰᴜɴᴄᴛɪᴏɴꜱ?
ʜᴏᴡ ᴅᴏ ʏᴏᴜ ᴛʜɪɴᴋ ʏᴏᴜ ᴄᴏᴜʟᴅ ꜱɪᴍᴘʟɪꜰʏ ꜰ(x) + ɢ(x) ɪꜰ ꜰ(x) = 3x + 2 ᴀɴᴅ ɢ(x) = 4x?
ᴡʜᴀᴛ ᴀʙᴏᴜᴛ ᴀ ꜰᴜɴᴄᴛɪᴏɴ ᴏꜰ ᴀ ꜰᴜɴᴄᴛɪᴏɴ ꜱᴜᴄʜ ᴀꜱ ꜰ(ɢ(x))?
ʜᴏᴡ ᴅᴏ ʏᴏᴜ ᴛʜɪɴᴋ ꜰ(ɢ(x)) ᴄᴏᴜʟᴅ ʙᴇ ꜱɪᴍᴘʟɪꜰɪᴇᴅ?
ᴡʜᴀᴛ ꜱɪᴛᴜᴀᴛɪᴏɴꜱ ᴄᴀɴ ʏᴏᴜ ᴛʜɪɴᴋ ᴏꜰ ᴡʜᴇʀᴇ ᴄᴏᴍʙɪɴɪɴɢ ꜰᴜɴᴄᴛɪᴏɴꜱ ᴡᴏᴜʟᴅ ʙᴇ ᴜꜱᴇꜰᴜʟ?
different font because brainly is censoring it for no reason?
Answer:
I think you could combine functions (not sure don't hold me to it), but im not sure of the actual process. Furthermore, combining functions could be useful if you were an architect.
Step-by-step explanation:
x2 + 8x + 19 = 0 What is the equivilent that results from completing the square?
Answer:
[tex](x+4)^2+3=0[/tex]
Step-by-step explanation:
Hey there!
Standard form is what this equation is in
Standard form is this: [tex]ax^2+bx+c[/tex]
So order to complete the square, you need to take the [tex]b[/tex] term out of the equation, divide it by two, and then square it
In this case, the [tex]b[/tex] term is 8
We need to divide 8 by 2 ---> 4
Then square 4 ---> 16
So now you should add 16 to both sides
[tex]x^2+8x+16+19=16[/tex]
Now you can simplify the LHS
[tex](x+4)^2 +19=16[/tex]
Now you subtract 16 from both sides
[tex](x+4)^2+3=0[/tex]
So this is as far as you can go since you cannot take the square root of a negative number