Answer:
4 : 0
Step-by-step explanation:
10 red and 4 green
There are 0 yellow peppers
green: yellow
4 : 0
at what rate of interest the sum of Rs 4000 amount to rs 6000 in 4 years
interest=4000
amount =6000
time =4yr
principal =6000-4000
=2000
interest=principal×time×rate/100
4000= 2000×4×r/100
4000=8000×r/100
r=8000-4000/100
r=2000/100
r=20
Answer:
12.5 %
Step-by-step explanation:
I = PRT
I is the interest, P is the Principle, R is the Rate and T is the time
The interest is 6000- 4000 = 2000
2000 = 4000* R *4
2000 = 16000R
Divide each side by 16000
2000/16000 = R
.125 = R
Changing to percent form
12.5 %
In the figure, m_2 = 75. Find the measures of the
remaining angles.
PA
Х
1/2
4/3
-m
5/6
8/7
-N
Answer:
Step-by-step explanation:
If angle 2 is 75, the other angles that are also 75 are angles 4 (it's vertical to angle 2), angle 6 (it's corresponding to angle 2), angle 8 (it's alternate exterior to angle 2). All the other angles measure 180 - 75 which is 105.
In a basketball game, Noli scored 3 points by shooting the ball at a horizontal distance of 7 feet from the 10-feet-high hoop. Noli threw the ball 6 feet above the ground and the ball went twice as high as its initial horizontal distance from the hoop. What was the horizontal distance of the ball from Noli when it reached its maximum height?
Answer:
The horizontal distance of the ball from Noli when it reached maximum height is approximately 4.1 feet
Step-by-step explanation:
The horizontal distance from the hoop at which Noli threw the ball, y₀ = 7 feet
The height of the hoop = 10 feet
The height from which the ball was thrown = 6 feet
The height to which the ball is thrown = 2 × The initial horizontal distance from the hoop
∴ The height to which the ball is thrown, [tex]y_{max}[/tex] = 2 × 7 feet = 14 feet
The coordinates of points on the path of the ball are;
(0, 6), (7, 10), (x, 14)
The projectile in vertex form is y = a·(x - h)² + k
Where;
(h, k) = The x, and y-coordinate of the maximum height
The y-coordinate of the maximum height reached = k = 14 feet
The x-coordinate of the maximum height = h = The horizontal distance of the ball from Noli when it reached maximum height
At y = 6, x = 0, therefore, we get;
6 = a·(0 - h)² + 14 = a·h² + 14
6 = a·h² + 14
a = -8/h²
At y = 10, x = 7, we get;
10 = a·(7 - h)² + 14 = (-8/h²)·(7 - h)² + 14
10·h² = -8·(7 - h)² + 14·h²
-4·h² = -8·(7 - h)²
4·h² - 8·(7 - h)² = 0
-4·h² + 112·h - 392 = 0
h = (-112 ± √(112² - 4 × (-4) × (-392)))/(2 × -4)
h ≈ 4.1, or h ≈ 23.9
We reject the value, h ≈ 23.9 feet given that the distance between the where the Noli threw the ball and the hoop = 7 feet
Therefore, the horizontal distance of the ball from Noli at which the ball reached its maximum height, h ≈ 4.1 feet
2.
Lucy shares 42 marbles between her and her 6 friends. How many does each child?
59,8x60,2 bằng bao nhiêu ạ
Answer:
3,6
Step-by-step explanation:
is -66 rational or irrational ?
Answer:
It's rational because it's not a decimal numbet
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
y = -2x + 5
[tex]\frac{risex}{run} = slope =[/tex]Δy/Δx = -8/4 = -2
Step-by-step explanation:
Is there a way to solve this without l'hopital's rule?
The conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved without the l'hopital's rule,
How to solve the limit expression?The limit expression is given as:
[tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex]
The limit of the expression cannot be solved without l'hopital's rule, because a direct substitution of ∞ for x would result in the following expression ∞/∞
i.e.
[tex]\lim_{x \to \infty} \frac{6 (2^{\infty}) - 1}{5(\infty)^2+ 10} = \frac{\infty}{\infty}[/tex]
So, the best way is to apply the l'hopital's rule.
This is done as follows:
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \lim_{x \to \infty} \frac{f'(x)}{g'(x)}[/tex]
When the numerator and the denominator are differentiated, we have:
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln(2)\cdot 2^{x + 1}}{10x}[/tex]
Further, differentiate
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{x + 1}}{10}[/tex]
Now, we can substitute [tex]\infty[/tex] for x
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{\infty + 1}}{10}[/tex]
Evaluate the numerator
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{\infty}{10}[/tex]
Evaluate the quotient
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \infty[/tex]
Hence, the conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved without the l'hopital's rule
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CAN YALL HELP ME WITH PYTHAGOREAN THEOREM
Answer:
c=82
Step-by-step explanation:
Answer:
The answer is 82!
Step-by-step explanation:
(18)^2 + (80)^2 is 6724, which has a square root of 82.
Maya express charges 15 dollar for each person and great holiday charges fixed 84dollar and extra 12 dollar for a person. If the total amount charged by each company is same find the number of people going on holiday
Step-by-step explanation:
15 dollar for each
15*70*12
then 84*70
total amount. the above
Answer:
:>
Step-by-step explanation:
15 dollar for each
15*70*12
then 84*70
total amount. the above
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
B
Step-by-step explanation:
2 units to the right -> -2 in the brackets next to x
4 units down -> -4 as a constant at the end of the equation
Someone please help me!!!!!
Answer:
B is going to be half the intercepted arc
<ABC = 80
<CAB = 55
mARC(AB) = 90
mARC(BC) = 110
Step-by-step explanation:
Help on this pls if you don’t mind
Answer:
(B) 3
Step-by-step explanation:
Remember that a parallel lines always have the same slope!
What is the volume of the pyramid below?
Answer:
56 m³
Step-by-step explanation:
Base area = 8×6/2 = 24 m²
Height = 7 m
Volume = 24×7/3
= 56 m³
Answered by GAUTHMATH
Find the area of the quadrilateral.
Answer:
12cm^2
Step-by-step explanation:
The first thing we want to do is find out what type of quadrilateral is shown so we can identify a formula we can use to solve for the area
The quadrilateral shown is a trapezoid
It's a trapezoid because it has four sides and one pair of parallel sides ( side AD and side BC are both formed vertically making them parallel as they can be extended an infinite length and will never intersect. ) This being the properties of a trapezoid
Now that we have identified the type of quadrilateral that the figure is, let's find the area.
Area of a trapezoid formula:
A = (a+b/2)h
Where a and b = bases and h = height
* Identify variable of quadrilateral shown*
( Note that each unit = 1cm )
The bases have lengths of 4 units (4cm) and 2 units (2cm)
The height can be represented by an imaginary line from a to c
From a to c is 4 units (4cm)
Now that we have identified the variables let's plug them into the formula
A = (a+b/2)h
a = 4
b = 2
h = 4
* Plug the variables into the formula *
A = (4+2)/(2)4
If you plug this into a calculator you get that the area is 12
If you need the work for evaluation here it is:
Evaluate using PEMDAS
Parenthesis
Exponents
Multiplication and Division ( left to right)
Addition and Subtraction ( left to right )
(4+2)/2 * 4
First step is to evaluate the operations inside of the parenthesis (4+2)
6/2 * 4
The next step is to evaluate exponents
There are no exponents so we move on to multiplication and division evaluate whatever come first going left to right
First comes division
3 * 4
Then multiplication
A = 12.
highest common factor of 28,40,12 and 24
Answer:
4
Step-by-step explanation:
We want to find the highest common factor
Breaking them into factors
28 = 4*7 = 2*2*7
40 = 4*10 = 2*2*2*5
12 = 4*3 = 2*2*3
24 = 3*8 = 3*2*2*2
The factor that appears in all is 2*2
2*2 =4
Answer:
4
Step-by-step explanation:
28÷4=7
40÷4=10
12÷4=3
24÷4=6
7, 10, 3 and 6 cannot be divided by any same number.
Choose the inequality that represents the following graph.
Answer:
it's most most probably option d becoz I studied In different way so... as per me d ... figure is quite diff but d
The poll report includes a table titled, "Americans Using Cash Now Versus Five Years Ago, by Age." The age intervals are
not equal. Why do you think the Gallup organization chose the age intervals of 23-34, 35-54, and 55+ to display these
results?
Answer:
These are the entervals of the people who are atleast adults and are mature enough to take the surevy seriosly and answer correctly
Step-by-step explanation:
The midpoint of A (-4, 2) and B(8,5) is
O (2,7/2)
O (-6, 3/2)
O (4,7/2)
Answer:
(2,7/2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(-4+8) /2 = 4/2 =2
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(2+5) /2 = 7/2 =
The midpoint is (2,7/2)
Answer:
(2, [tex]\frac{7}{2}[/tex])
Step-by-step explanation:
Hi there!
We want to find the midpoint of (-4,2) and (8,5)
To do that, we'll use the midpoint formula, which will find the midpoint using the formula ( [tex]\frac{x_1+x_2}{2}[/tex],[tex]\frac{y_1+y_1}{2}[/tex]), where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion
[tex]x_1[/tex]=-4
[tex]y_1[/tex]=2
[tex]x_2[/tex]=8
[tex]y_2[/tex]=5
Now substitute those values into the formula and solve
To find the value of the x-coordinate of the midpoint, use [tex]\frac{x_1+x_2}{2}[/tex]
x=[tex]\frac{-4+8}{2}[/tex]
Add the numbers together on the numerator
x=[tex]\frac{4}{2}[/tex]
Divide
x=2
The value of the x-coordinate is 2
Now find the value of the y coordinate by using [tex]\frac{y_1+y_1}{2}[/tex]
y=[tex]\frac{2+5}{2}[/tex]
Add the numbers together on the numerator
y=[tex]\frac{7}{2}[/tex]
So the point is (2, [tex]\frac{7}{2}[/tex])
Hope this helps!
PLEASE ANSWER WITH ALL THE MATH
Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his age. Write a system of linear equations that models this situation. Let j represent Jacob's age, and let m represent his mother's age.
Write an equation that relates Jacob and his mother's current ages. Solve the system of equations.
What are their ages?
9514 1404 393
Answer:
Jacob: 4his mother: 39Step-by-step explanation:
Let J and M represent the current ages of Jacob and his Mother.
currently:
M = 3 +9J
in 11 years:
M+11 = 5 +3(J+11)
Using the first equation to substitute for M in the second, we have ...
(3 +9J) +11 = 5 +3(J +11) . . . . . substitute for M
9J +14 = 3J +38 . . . . . . simplify
6J + 24 . . . . . . . . . . subtract 3J+14
J = 4 . . . . . . . . . . divide by 6
M = 3 +9(4) = 39
Jacob is 4 and his mother is 39.
CORRECT ANSWER WILL GET BRAINLIEST
ANSWER PLEASE
Answer:
B and C
Step-by-step explanation:
A is actually 5 so it is an integer and 0 is considered and integer.
Please help me with these two Algebra problem. Thanks
Problem 1:
If two half planes never intersect, then their system of inequalities has no solution. True or False?
Problem 2:
If the boundary lines of two half planes are parallel, then they have no solution area. True or False?
Please answer as quick as possible and please answer as
Example:
True, because . . . .
Thanks again!!
Step-by-step explanation:
First, a half plane can be defined as one side of a line, e.g. x < y-3.
1: True. A solution to two half planes is where the two half planes intersect. If they never intersect, then there literally cannot be a solution.
2: False. Take, for example, y=x and y=x+1. These two lines are parallel because in the equation y=mx+b, m represents the slope, and in these two lines, x is multiplied by 1, so both lines have the same slope and are therefore parallel. Then, take two boundary planes -- y > x and y>x+1. If we graph this out (see picture), the planes clearly intersect when y>x+1. The solution is where the planes intersect, so there is a solution area
What is 9.4582 rounded to 1?
Answer I think the answer is 9 if you round off to the nearest ones,in this case you are rounding off to 9 which will still be 9 because 4 is less than 5.
I hope this helps
Which point should Julio use to determine the amount of pizza sauce he needs to bring?
A
B
C
D
On a coordinate plane, a graph titled Pizza Recipe has Pizzas on the x-axis and Cups of Pizza Sauce on the y-axis. Point A is (3, 2), point B is (4, 2.6), point C is (4.5, 3), point D is (6, 4).
Answer:
The question is incomplete, but after a small search I've found that the complete question is something like:
To celebrate something, a teacher will make pizzas for the class.
There are 30 students in his class and each pizza serves 8
Julio will bring the pizza sauce. Which point should Julio use to determine the amount of pizza sauce he needs to bring?
In a graph, the vertical axis is represented with the variable y, which is defined as the dependent variable, while the horizontal axis represents the variable x, which is the independent variable.
The notation for a point in that graph is (x, y)
Here, we know that the x-axis represents the number of pizzas, and the y-axis represents the number of cups of pizza sauce needed for the x pizzas.
So, for example, the point (3, 2) means that:
for x = 3 pizzas, you need y = 2 cups of pizza sauce.
So, now let's find the number of pizzas that will feed the whole class.
There are 30 students, Each pizza serves for 8.
Then the number of pizzas needed is:
30/8 = 3.75 pizzas.
But we can round it to 4 pizzas because making a 0.75 of a pizza does not make a lot of sense.
Then we could use point B, which is (4, 2.6)
This means that, for 4 pizzas, they need 2.6 cups of pizza sauce.
So Julio should bring 2.6 cups of pizza sauce.
Which point should Julio use to determine the amount of pizza sauce he needs to bring?
(B 4,26)
3. What is the volume of the regular pyramid?
Answer: 80 cubic meters (choice B)
==============================================================
Explanation:
The floor of the pyramid is a pentagon made of five congruent isosceles triangles as shown in the diagram below. Each triangle has a base of 6 meters and height 2 meters. The base and height are always perpendicular.
Each triangle mentioned therefore has area base*height/2 = 6*2/2 = 12/2 = 6 square meters. Five such triangles results in a total area of 6*5 = 30 square meters. This is the area of the pentagonal floor.
We'll multiply this area by the height of the pyramid (8 meters) and then take 1/3 of this to get the pyramid's volume
volume = (1/3)*(area of floor)*(height of pyramid)
volume = (1/3)*(30)*(8)
volume = 10*8
volume = 80 cubic meters
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
Step-by-step explanation:
I may get this wrong because I don't think it's clear enough.
3 Letters
The station call letters must start with 1 of 3 letters
3
The next letter must be one of 25 and the last letter is 24
3 * 25 * 24 = 1800
5 letters
3 * 25 * 24 * 23* 22 = 910800
Total 1800 + 910800 = 912600
.help me with the question of math
No link
Answer:
I doubt it is not going to be a great
Step-by-step explanation:
the same time as a child support of the year old girl I don't know what you think about it is not going to
5. In figure 2.9, line AB || line CD and line PQ is transversal. Measure of one of the angles is given Hence find the measures of the following angles (1) LART (ii) ZCTO (iii) ZDTO (iv) ZPRB
What type of line is PQ?
A. angle bisector
B. side bisector
C. altitude
D. median
Answer: Segment PQ is a median
Step-by-step explanation:
A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side. This means segment PQ has to be a median for it meets the criteria of a median.
The segment PQ is a median.
A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side.
What is the median?
The median is the middle number in a sorted, ascending, or descending list of numbers and can be more descriptive of that data set than the average.
This means segment PQ has to be a median for it meets the criteria of a median.
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HELP PLEASE
i would really appreciate if someone answered this correctly!
Answer:
n-32
Step-by-step explanation:
edmentum