Step-by-step explanation:
There are 10 + 20 = 30 total students in the class.
Total marks for the class = 60 * 30 = 1800.
Total marks for the girls = 54 * 20 = 1080.
=> Total marks for the boys = 1800 - 1080 = 720.
Mean mark for the boys = 720 / 10 = 72.
What is the slope of 9,7 and 3,5
Answer:
slope is 1/3
Step-by-step explanation:
Answer: 1/3
Step-by-step explanation: slope is difference in y values over difference in x values
you'd like your pendulum to take 20 seconds to complete a cycle how long will the pendulum need to be? is the reasonable in your building which is planned to be 20 feet long?
Answer:
Concept: Mathematical Analysis
The full rotation of a pendulum is attached, plug in the values and solve.Rate brainlist.A company owns two dealerships, both of which sells cars and motorcycles. The first dealer sells a total of 214 cars and motorcycles the second dealership sells twice as many cars in half as many motorcycles as first dealership and sells a total of 239 cars and motorcycles
Answer:
294 cars
Step-by-step explanation:
hope this helpt touch thanks it my birth day
Toni drives a boat 15 km/h upstream and then turns around and drives 25 km/h back downstream to her
starting point. If her total driving time is 4 hours, for how long does she drive upstream? Write and solve an
equation to determine the answer. !!!PLEASE HELP!!!
Answer:
plz help
Step-by-step explanation:
which one is greater: 5.098 or 5.4
Answer:
5.4
Step-by-step explanation:
The number after the decimal is bigger in 5.4 than 5.098 which is the only number that matters in this question however if both numbers were the same you would move to the next number and whichever one has the bigger number.
Solve for z. 2z − 3 = 1
Answer:
z = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
2z - 3 = 1
Step 2: Solve for z
Add 3 on both sides: 2z = 4Divide 2 on both sides: z = 2A rock is thrown straight up from the top of a bridge that is 75 ft high with an initial velocity of 32 ft/s. The height of the object can be modeled by the equation s(t) = -16t2 + 32t + 75. Determine the time(s) the ball is lower than the bridge in interval notation.
In two or more complete sentences, explain why (-∞,0) is not included in the solution.
The ball is lower than the bridge at the interval [2, 3.385] and (-∞,0) contains negative values
How to determine the time the balloon lower than the bridge?The equation of the function is given as
h(t)= -16t^2 + 32t + 75
The above equation is a quadratic equation
When the balloon is less than the bridge i.e. a height of 75 feet, we have
h(t) < 75
So, we have the following equation and inequality
h(t)= -16t^2 + 32t + 7
h(t) < 75
Next, we plot the equation and inequality on a graph (see attachment)
The equations intersect at
t = 0 and t = 2
Remove when t = 0
t = 2
The ball hits the ground at t = 3.385
So, the interval is [2, 3.385]
Also, (-∞,0) is not included in the solution because time cannot be negative
Read more about quadratic equation at
https://brainly.com/question/28807522
#SPJ1
Randall graphed the equation y=-2x+3 as follows:
Did Randall correctly graph the equation?
A. Yes he correctly graphed the equation B. No he graphed the line with a slope of 2 instead of -2 C. No, Randall graphed the line with a slope of -1/2 instead of -2 D. No, Randall graphed an x-intercept of (3,0) instead of y-intercept (0,3)
Answer:
C.
Step-by-step explanation:
Hope I could help :)))
Kris's bike used up 4.5 gallons of gas to cover a distance of 297 miles.Jack travels 366 miles on a full tank capacity of 6 gallons.Ben's bike consumed 5.2 gallons of gas for a 265.2 miles long drive. Whose bike gave the best mileage
Answer:
Ben's bike gave the best mileage.
Step-by-step explanation:
Kris's bike mileage = 297 / 4.5
Kris's bike mileage = 66 mile/gallon
Jack's bike mileage = 366 / 6
Jack's bike mileage = 61 mile/gallon
Ben's bike mileage = 265.2 / 5.2
Ben's bike mileage = 51 mile/gallon
Ben's bike gave the best mileage
double checking!!!
i think it's figure a but not sure!!!!
Answer:
figure a
Step-by-step explanation:
figure a is the only figure that has the same shape as the figure with the "*" next to it
Answer: I think it is A. It is the most likely to be compared to the star.
Step-by-step explanation: I hoped this helps
Given that x² -x -2 is a factor of x³ +3 x² +ax +b, calculate the values of a and b and hence find the remaining factor.
Answer:
[tex]a = -6, b = - 8[/tex]
Remaining factor = [tex]x+4[/tex]
Step-by-step explanation:
Given that:
Two polynomials:
[tex]x^{2} -x-2[/tex] and [tex]x^3 +3 x^2 +ax +b[/tex]
[tex]x^{2} -x-2[/tex] is a factor of [tex]x^3 +3 x^2 +ax +b[/tex].
To find:
The values of [tex]a[/tex] and [tex]b[/tex] from the cubic equation and the remaining factor.
Solution:
Let us first of all, factorize [tex]x^{2} -x-2[/tex].
[tex]x^{2} -2x+x-2=0\\\Rightarrow x(x-2)+1(x-2)=0\\\Rightarrow (x+1)(x-2)=0\\\Rightarrow x = -1, 2[/tex]
There are two factors of the given quadratic equation.
These two factors must also be factors of the cubic equation as well.
Putting [tex]x = 2[/tex]:
[tex]2^3 +3 \times 2^2 +a\times 2 +b =0\\\Rightarrow 2a+b=-20 ..... (1)[/tex]
Putting [tex]x = -1[/tex]:
[tex](-1)^3 +3 \times (-1)^2 +a\times (-1) +b =0\\\Rightarrow -a+b=-2 ..... (2)[/tex]
Subtracting (2) from (1):
[tex]3a = -18\\\Rightarrow a = -6[/tex]
From equation (1):
[tex]2\times (-6) + b=-20\\\Rightarrow b = -8[/tex]
Putting the values of [tex]a[/tex] and [tex]b[/tex] in the cubic equation, we get:
[tex]x^3 +3 x^2 -6x -8[/tex]
Dividing the cubic equation with quadratic, we get:
[tex]\dfrac{x^3 +3 x^2 -6x -8}{x^{2} -x-2} = x+4[/tex]
Which expression is equal to the expression below?
(7•2)^7
A. 7^7 + 2^7
B. 7^7 • 2^7
C. 7 • (7•2)
D. 9^7
Answer:
c
Step-by-step explanation:
You spent $24 more than Pam. If you spent $82, how much money did Pam spend? Write and solve an equation.
Answer:
$58
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
82-24=58
Which measurement is the best estimate for the length of a clothespin?
9 cm
9 km
9 mm
9 m
can someone to my last question
Two interior angles of a triangle measure 56° and 37°. What is the third interior angle
of the triangle?
4.
Answer:
87 degree
Step-by-step explanation:
interior angle is 180
So 56+37 = 93
180-93 = 87
Answer:
Step-by-step explanation:
we know that the sum of the angles in a triangle = 180 degrees
the third angle will be = 180-(56+37)=87
Will is buying a house for $185,000. He is financing $165,000 and obtained a 30-year, fixed-rate mortgage with a 6.725% interest rate. How much are his monthly payments? (2 points)
=================================================
Work Shown:
L = 165000 = loan amount or amount financed
r = 0.06725 = annual interest rate in decimal form
i = r/12 = 0.06725/12 = 0.005604167
i = 0.005604167 = approximate monthly interest rate in decimal form
n = number of months = 30*12 = 360 months
P = unknown monthly payment
--------------
Apply the monthly payment formula
P = (L*i)/( 1-(1+i)^(-n) )
P = (165000*0.005604167)/(1-(1+0.005604167)^(-360))
P = 1067.44636311118
P = 1067.45
If \triangle ABC△ABC is equilateral, solve for x.
x=
Answer:
x = 13
Step-by-step explanation:
The tirangle ABC is given as equilateral. Every angle is therefore =. Not only that, each angle is 60 degrees.
If you need proof of that, remember that x + x + x = 180. Every triangle has 180 degrees.
if 3x = 180 then 1 x is 60
8x - 44 = 60 Add 44 to both sides.
8x = 60 + 44
8x = 104 Divide by 8
x = 104/8
x = 13
Which of the following numbers is between 5 and 10 on a number line? Select two that apply.
Answer:
√38 , √44
Step-by-step explanation:
√25 = 5 and √100 = 10
So, required numbers should be between √25 and √100
And so, they are √38 , √44
(Edit) I was wrong nevermind.
In the triangle below, what is the length of the hypotenuse?
A. 3√3
B. 6
C. 3√2
D. √3
Answer:
B. 6Step-by-step explanation:
I'd like to begin by apologizing for the late reply.
PROCESS:
1) Begin by analyzing the triangle
2) Notice how you can take the sin of 30 to find the hypotenuse
3) sin30= 3/x
4) If you don't see how I did that, a fun trig word play for functions, is
S O/H
C A/H
T O/A
where
S= Sine
C= Cosine
T= Tangent
O= Opposite
H= Hypotenuse
A= Adjacent
so side opposite of 30 is side 3, and the hypotenuse is x.
5) sin30= 3/x = 6
6) Your answer, hypotenuse is 6
BONUS: If you want to find the base length, use Pythagorean theorem.
c=√a2+b2
b=√c2-a2= √6^2 - 3^2= 5.19 or 5.2
Write the first five terms in the arithmetic sequence. f(n + 1) = f(n) – 19, f(1) = 34
Answer:
34, 15, -4, -23 and -42
Step-by-step explanation:
We are to find the first five sequence
when n = 1
f(2) = f(1) - 19
f(2) = 34 - 19
f(2) = 15
when n = 2
f(2+1) = f(2) - 19
f(3) = f(2) - 19
f(3) = 15 - 19
f(3) = -4
when n = 3
f(3+1) = f(3) - 19
f(4) = f(3) - 19
f(4) = -4 - 19
f(4) = -23
when n = 4
f(4+1) = f(4) - 19
f(5) = f(4) - 19
f(5) = -23 - 19
f(5) = -42
Hence the first five terms in the arithmetic sequence are 34, 15, -4, -23 and -42
Derin is buying a new car at the price of $14,799.99. If he must pay 5% in sales tax, how much will his new car really cost him
What is f(x) - g(x)
f(x)=x^2 + 2x - 5
g(x)= -3x^2 - 4x + 1
Answer:
f(x)=(−1,−6)
g(x)=(−2/3,7/3)
Step-by-step explanation:
What are we finding the vertex
Answer:
A. -2x^2-2x-4
Step-by-step explanation:
:D
How can the additive inverse be used to evaluate the problem below?
Negative 3 minus (negative 6)
Answer:3
Step-by-step explanation:
-3--9
-3+9=6
Answer:
Its D
Step-by-step explanation:
100 on quiz
factorise the expression 4(x+1)^2-49 . plz solve this i will mark you the brainliest
Answer:The answer is : Expand the square
4(x+1)the second square - 49
4(x+1)x+1)-49
The solution is : 4x second square + 8x - 45
Step-by-step explanation:
Which will yield the larger balance in one year? $3,000 at 6% compounded twice a year
$3,000 at 6% compounded quarterly
Answer:
quarterly
Step-by-step explanation:
which of the following graphs is f(2) = 5
Answer:
None.
Step-by-step explanation:
Where are the graphs? We need the extra information to complete this problem.
PLEASE HELP WITH THE CORRECT ANSWERRRR PLEASE
What value of b makes the trinomial below a perfect square?
x^2-bx + 100
A. 20
B. 10
C. 5
D. 50
Answer:
B
Step-by-step explanation:
Dylan opened a credit card account with $575.00 of available credit. Now that he has made some purchases, Dylan's account only has $465.75 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
A.
14%
B.
81%
C.
19%
D.
23%
Answer:
C.) 19% decrese
Step-by-step explanation:
575.00 - 465.75 = 109.25
109.25/575.00 = 0.19
0.19 = 19%
575.00 - 465.75 = 109.25
109.25/575.00 = 0.19 = 19%
Therefore, the percentage decrease of the amount of available credit in Dylan's account is 19%.
Isabelle is planning a road trip to her friend's house. She looks at a map that has a scale of in. To 25 mi. The road distance between her home town and her friend's town measures 1/2 in. On the map. If d represents the road distance between the two towns, what is d?
This question is incomplete
Isabelle is planning a road trip to her friend's house. She looks at a map that has a scale of 1/2 in. to 25 mi. The road distance between her home town and her friend's town measures 12 in. on the map. If d represents the road distance between the two towns, what is d?
Answer:
600 miles
Step-by-step explanation:
From the question:
1/2 inches = 25 miles
12 inches = x
1/2 × x = 25 × 12
x = (25 × 12) ÷ 1/2
x = 25 × 12 × 2
x = 600 miles
Therefore the road distance between two towns = 600 miles