Answer:
Y = 2x - 4
(2,-4)
gradient= 2
y-intersept = -4
Find the center and radius of the circle and sketch its graph
X^2+y^2=9
Answer:
Centre (0,0)
Radius √9 = 3
I've attached a graph if the circle with it
Answered by GAUTHMATH
find the value of trigonometric ratio
Answer:
3/5
Step-by-step explanation:
Cos C = adjacent/hypotenuse
or, Cos C = 21/35 = 3/4
Answered by GAUTHMATH
What is the least common multiple of 4 and 12? O 4 O 12 O 24 o ) 48
Answer:
12
Step-by-step explanation:
Least common multiple means what is the smallest number that both numbers go into
List the prime factors
4= 2*2
12 = 2*2*3
The factors that are in needed to make both are 2 and 3
We need 2 of the 2's and 1 3
2*2*3 = 12
Answer:
12
Step-by-step explanation:
Find the missing length indicated
Answer:
x = 240
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large triangle)² = ( part of hypotenuse below it) × (whole hypotenuse)
x² = 144 × 400 = 57600 ( take the square root of both sides )
x = [tex]\sqrt{57600}[/tex] = 240
x = 240
Using Pythagoras' theorem on the 3 triangles of sides (as shown in the graphic - the 2 smaller inner triangles and the large main triangle) it can be shown that the height is the square root of the product of both segments of the baseline.
let's call the 2 segments p and q.
p+q = 400
p = 144
q = 400 - 144 = 256
so, as said before, height = sqrt(p×q) = sqrt(144×256) = 192
now the main Pythagoras with the smallest triangle to get x
x² = 192² + 144² = 36864 + 20736 = 57600
x = 240
now, FYI, why is that formula true ?
as we said, we called the segments of the long baseline p and q.
then we can the sides of the main triangle x and y.
and the height is simply h.
so, then we have for the main rectangular triangle
(p+q)² = x² + y²
and for the 2 smaller triangles
x² = p² + h²
y² = q² + h²
=>
p² +2pq + q² = p² + h² + q² + h²
2pq = 2h²
h² = pq
h = sqrt(pq)
and there you have it. just as simple as that.
Identify the equation of the circle that has its center at (7, -24) and passes through the origin.
Answer:
[tex](x-7)^{2}[/tex] + [tex](y+24)^{2}[/tex] = [tex]625[/tex]Step-by-step explanation:
HELP PLZ
Part A Translate the sentence into an expression.
2 less than 9 times h
Part B Create a scenario (word problem) using the expression above.
Part C Evaluate the expression if h is 1/3
Step-by-step explanation:
A
9×h - 2
B
the baseline of the triangle is 2 units less than 9 times the height long.
C
h = 1/3
9×1/3 - 2 = 3 - 2 = 1
I need help plss ( math ) SOMEONE ASAP
26a)729
b)2,457.6
c)3,500
d)8,100
e) 89,600
Step-by-step explanation:
just multiply first and divide with upper number to the lower
Use index notation to write 248 as a product of its factor
Answer:
2^3 x 31
Step-by-step explanation:
31 is a prime number
Answer it please ↓↓
Fubuki drives 18.4 miles in 16 minutes. He passes a sign which gives the speed limit as 60 mph. By how much, in mph, did Fubuki's average speed exceed the speed limit?
Step-by-step explanation:
hope this helps to u......
Verify that –(-x) is the same as x , for x = −4/5
Answer:
Step-by-step explanation:
-(--4,5)= -(4,5)= -4,5
if tolu collects a loan of #250,000 from a bank at the rate of 11 whole number 1 over 2% interest how much will she pay as interest at the end of the year
Answer:
# 28750
Step-by-step explanation:
Intrest = P. A. * Intrest Rate * Time
Intrest = 250000 * 11.5/100 = 28750
Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.
Answer:
Hello,
Step-by-step explanation:
Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.
[tex]P(t)=125*e^{0.035*t}\\a)\\P(2000)=125*e^{0.035*(2000-1990)}=177.38...\\\\b)\\P'(t)=125*0.035*e^{0.035*t}\\\\c)\\\\P'(2000)=125*0.035*e^{0.035*(2000-1990)}=6.2084...[/tex]
To earn $60 for the skateboard, Waheeda decides to run a lemonade stand. If she sells each glass of lemonade for $1.50, how many glasses of lemonade will she need to sell? Write and solve an equation to find the answer.
Cost of skateboard : $60
Cost of each lemonade = $1.50
Total glasses of lemonade to be sold = 60/1.5
= 60/15×10
= 4×10
= 40
Therefore she has to sell 40 glasses of lemonade
Must click thanks and mark brainliest
please help asap, see attached photo!!
I need help asap!!!!Please explain the answer
Answer:
5th option
Step-by-step explanation:
The secant- tangent angle DCB is half the difference of the intercepted arcs, that is
∠ 1 = [tex]\frac{1}{2}[/tex] ( AD - BD)
BRAINLIST!! 20 POINTS! PLEASE HELP ILL FAIL IF I DONT PASS THIS TEST!!!
What type of counting problem is this?
How many different sums of money exist if we can choose 4 coins from any number of pennies, nickels, dimes, and quarters?
Combination without repetition
Permutation with repetition
Combination with repetition
Permutation without repetition
Answer:
the third one: Combination with repetition
Step-by-step explanation:
it says there are any number of pennies, nickels, dimes, and quarters, so there is repetition. the order doesn't matter because it asks for the different sums, so it's a combination with repetition
"How many different sums of money exist if we can choose 4 coins from any number of pennies, nickels, dimes, and quarters?" is a Combination with repetition problem.
What is combination with repetition?A combination with repetition involves a multiset. A multiset allows elements to be repeated unlike an ordinary set.
Number of ways to select r things from n possibilities: C (n + r − 1, r)
Since he can choose any coin any number of time, repetition is there. Also, order in which coins are chosen is not important, thus it is a combination.
Therefore, the third option is correct. This is a combination with repetition problem.
Learn more about combination with repetition here
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Which statement best describes the function h(t) = 210 - 15t?
Oh is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable.
O h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.
O t is the function name; h(t) is the input, or independent variable; and h is the output, or dependent variable.
Ot is the function name; h is the input, or independent variable; and h(t) is the output, or dependent variable.
Answer:
h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.
Step-by-step explanation:
The explanation is in the answer.
h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.
The given function is h(t) = 210 - 15t
The function is named h, and it takes an input value t (the independent variable) and produces an output value 15t (the dependent variable).
The function is often written as h(t) = 15t to make it clear that h is a function of t.
Hence, h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.
To learn more on Functions click:
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when is it easy to show if a set is closed or not closed?
Answer:i think its if the dots are open they arent closed but if they are filled in its closed same with () and [] if its (x,y) then its not able to be used but if its [x,y] then it is able to be used
Step-by-step explanation:
WILL GIVE BRAINLIEST
How many integers n between 1 and 100 inclusive are there, such that n^2 + n is divisible by 99
Answer:
It is 121
Step-by-step explanation:
brianna practices the panio 30 minutes each day write an expression for the number of hours she practises in d days
using Euclids division algorithm, find the largest number that divides 475 and 871 leaving 7 as the remainder in each case
Answer:36
Step-by-step explanation:
gcd(475-7,871-7)=gcd(468,864)=36
[tex]\begin{array}{c|c|c|c|c|c}&0&1&1&5&2\\468&864&468&396&72&\boxed{36}\\468&396&72&36&0\\\end{array}[/tex]
3025 to binary octal and base 5
Answer:
for binary 101111010001. for octal 5721. for base 5 - 44100
The buyer for a chain of stores purchased kitchen tables in bulk, paying $32 each. The stores will sell each kitchen table for $58. What percentage is the mark-up?
Answer:
The markup is 81.25%
Step-by-step explanation:
Take the new price and subtract the original price
58 - 32
26
Divide by the original price
26/32
.8125
Change to percent form
81.25%
The markup is 81.25%
1) Jack and Jill have a Jill have a combined age of 25. Jack is 3 years older than Jill. How old are they?
2) A rectangle has an area of x^2+7x+12. Find the length and the width of the rectangle.
Answer:
1.) Jill = 11 yrs & Jack = 14 yrs. | 2.) (x + 4)(x + 3)
Step-by-step explanation:
1.)
Let j = Jill's age.
[tex]j+(j+3)=25\\2j+3=25\\2j=22\\j=11\\\\\\(11)+3=14[/tex]
Therefore, Jill is 11 and Jack is 14.
2.)
[tex]x^2+7x+12\\(x+4)(x+3)[/tex]
what is the equation of the line that passes through (1,5) and (3,1)
Answer:
Below
Step-by-step explanation:
First let's find m
m = Δy / Δx = y2 - y1 / x2 - x1
= 1 - 5 / 3 - 1
= -2
Now to find b, you can sub in the values of (x,y) for (1,5)
5 = (-2)(1) + b
-b = -2 - 5
-b = - 7
b = 7
Final equation
y = -2x + 7
Hope this helped!
Answer:
4x + 2y - 14
Step-by-step explanation:
I hope it is understandable.
4(a)+8-a,if a=-2 evaluate each expression
Answer:
2
Step-by-step explanation:
4(a)+8-a
Combine like terms
4a-a +8
3a+8
Let a = -2
3(-2)+8
-6 +8
2
PLZ HELP ME I NEED TO GET THIS RIGHT 20 POINTS
1.) the table shows the weight in kilograms of 10 players on a college basketball team.
Weight (kg)
[54, 52, 65, 63, 62, 60, 58, 53, 51, 50]
Which statement is NOT true about this data?
A.) the median is one of the values listed in the table
B.) the mode of the data is 60
C.) the mean is less than the median
D.) the data set had no matter
2.) This table shows the amount of money in dollars that a group of seventh grade students spend on food each day.
Carol=2
Anna=3
Sophie=11
Tom=3
Jackie=1
Which measure of central tendency is most affected by the amount of money that Sophie spends?
A.) the median only
B.) the mean only
C.) the mode only
D.) the mean and the median
3.) This table shows the results of a survey that asked a group of people what time of day their favorite tv show aired.
5:00=3
6:00=5
7:00=10
8:00=21
9:00=25
10:00=15
11:00=12
What time corresponds to the mode of this set of data?
A.) 8:00 pm
B.) 9:00 pm
C.) 10:00 pm
D.) 11:00 pm
Answer:
A, B, B
Step-by-step explanation:
Help ! With step by step solution
Answer:
the correct answer is C
Step-by-step explanation:
first step you change the x and y powers to the square root(showing in the pic).
second the number outside of the parenthesis times the numbers inside the parenthesis and then you just figure it out how it works...
Kathryn plants two different types of tomato plant. She records the number of tomatoes that she picks from each plant every day. Her records are shown below:
Plant A: 4, 6, 7, 3, 5, 2, 1, 3, 6, 5
Plant B: 5, 6, 7, 6, 8, 9, 6, 7, 7, 9
Which plant has the more consistent yield of tomatoes?
not enough information to tell
they produce about the same amount of plants
Plant A
Plant B
Answer:
Plant B
Step-by-step explanation:
When you compare the number of tomatoes she picks from plant B with plant A, you will notice that plant B has not produced less tomatoes than plant A in any day but it has either produced the same or more number of tomatoes.
The tables show how the dollar to euro conversion rate changed during one day.
Khalil changed $500 into euros (£).
How many more euros did Khalil receive if he changed his money at the highest rate compared to the lowest rate?
Answer:
£10.1
Step-by-step explanation:
Highest exchange rate=1.3401
Lowest exchange rate=1.3199
The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1
