Answer:
x = 0.09
Step-by-step explanation:
Use the pythagorean theorum.
a^2 + b^2 = c^2
Plug in the values.
a^2 + 0.4^2 =0.41^2
= a^2 + 0.16 = 0.1681
Subtract to get a (which is the x value)
a^2 = 0.1681 - 0.16
a^2 = 0.0081
Square root 0.0081 to get a.
[tex]\sqrt{0.0081}[/tex]
a or x = 0.09
What is the vertex of the quadratic function with a positive a value?
Answer:
If the coefficient of the squared term is positive, the parabola opens up. The vertex of this parabola is called the minimum point. If the coefficient of the squared term is negative, the parabola opens down. The vertex of this parabola is called the maximum point.
The graph opens upward, if the vertex of the quadratic function with a positive a value.
Given that, the quadratic function with a positive a value.
What is the vertex of the quadratic function?The vertex of the graph of a quadratic function is the highest or lowest possible output for that function. If you're looking at a graph, the vertex would be the highest or lowest point on the parabola. The easiest way to find the vertex is to use the vertex formula.
If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h, k). Any quadratic function can be rewritten in standard form by completing the square.
Therefore, the graph opens upward, if the vertex of the quadratic function with a positive a value.
To learn more about the vertex of the quadratic function visit:
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Together Emily and Charlotte have a total of 60 strawberries Emily eats four times the amount that Charlotte eats how many strawberries does Charlotte eat?
Answer:
12
Step-by-step explanation:
If you were asking how many strawberries it would take to finish all 60, this is the answer, otherwise please rephrase the question.
If Charlotte ate 12 strawberries, you would have to do 12 x 4 which would be four times the amount of strawberries Charlotte ate, 12 x 4 = 48, Emily ate 48 strawberries, 48 + 12 = 60.
Charlotte eats 12 strawberries.
Let the amount of strawberries eaten by Charlotte be represented by x.
Since Emily eats four times the amount that Charlotte eats, then Emily will eat:
= (4 × x) = 4x.
Since Emily and Charlotte have a total of 60 strawberries, then this will be:
4x + x = 60
5x = 60
x = 60/5
x = 12
Therefore, Charlotte eats 12 strawberries.
You can learn more here:
https://brainly.com/question/17161700
Can anyone please help me here in this proplem
Answer:
270Step-by-step explanation:
I DID THE TESTAnswer: 270
Step-by-step explanation: First find the volume to the figure and find the volume of the unshaded part and subtract . Hope this helps 8-)Jessica has been tracking the population of a town. The population was 8,230 last year and has been increasing by 1.25 times each year. How can Jessica develop a function to model this?
Answer:
Population at start : 8,230.
The rate of growth: r = 1.25
x - number of the years;
Answer:
B ) f ( x ) = 8,230 * ( 1.25 ) ^x where 1.25 is the rate of growth.
Step-by-step explanation:
Jessica develops a function to model this 8230(1.25)ˣ, where 1.25 is the rate of growth.
What is exponential population growth?In an ideal condition where there is an unlimited supply of food and resources, the population growth will follow an exponential order.
Jessica has been tracking the population of a town.
The population was 8,230 last year and has been increasing by 1.25 times each year.
The population growth function is;
[tex]\rm f(x)=P_0 x^t[/tex]
Substitute all the values in the formula;
[tex]\rm f(x)=P_0 x^t\\\\f(x) = 8230 (1.25)^x[/tex]
Hence, Jessica develops a function to model this 8230(1.25)ˣ, where 1.25 is the rate of growth.
Learn more about function here;
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4.9.21
Solve the system of equations.
y=x² + 6x-2
y= - x2 + 4x + 22
Select the correct choice below and, if necessary, fill in box
- the solution(s) are:
- there is no solution
Answer:
x = -4 or 3
Step-by-step explanation:
[tex]x^{2}[/tex] + 6x - 2 = -[tex]x^{2}[/tex] + 4x + 22
2[tex]x^{2}[/tex] + 2x - 24 = 0
[tex]x^{2}[/tex] + x - 12 = 0
(x + 4)(x - 3)=0
x = -4 or 3
Ok I don’t really understand this can one of you help me please
Answer:
I'm not sure if you still need it but the answer is the third one.
Step-by-step explanation:
In order for a line to be parallel the lines need to have the same slope.
Answer:
The answer would be y=3/4X+9
Step-by-step explanation:
It must have the same slope since it is parallel, so
m = 3/4
y - y1 = m(x - x1)
y - 0 = (3/4)[x - (-4)]
y = (3/4)(x + 4)
what is the measure of
Answer:
A
Step-by-step explanation:
a triangle equals 180 degrees, this is an isosceles triangle so 2 sides and the sides (opposite) angles are equal, so angle X = 180 - 70 - 70 so angle X equals 40 degrees as 180 - 140 = 40
Problem PageQuestion
Pamela's age is two times Jiri's age. The sum of their ages is 66. What is Jiri's age?
Answer:
Jiri is 22
Pamela is 44
Step-by-step explanation:
Look at the attachment
Answer:
Jiri is 22 years old.
Step-by-step explanation:
P=2J
P+J=66
2J+J=66
3J=66
J=22
I need help!! I want to graduate!! The only class I have left please!!
Answer: Bro write the question better
Step-by-step explanation:
The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students. General High rented and filled 14 vans and 12 buses with 738 students. How many students would fill 2 buses and 3 vans?
Answer:
133 students would fill 2 buses and 3 vans
Step-by-step explanation:
Let x be the no. of students in each van
No. of students in 12 vans = 12x
No. of students in 14 vans = 14x
Let y be the no. of students in each bus
No. of students in 14 buses = 14y
No. of students in 12 buses = 12y
We are given that The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.
12x+14y=796 ---1
We are also given that General High rented and filled 14 vans and 12 buses with 738 students.
14x+12y=738 ---2
Plot 1 and 2 on graph
12x+14y=796 --- Green line
14x+12y=738 --- Purple line
Intersection point gives the solution
Intersection point=(x,y)=(15,44)
No. of students in 1 van = 15
No. of students in 3 vans = [tex]15 \times 3 = 45[/tex]
No. of students in 1 bus = 44
No. of students in 2 buses =[tex]44 \times 2 = 88[/tex]
So,Total no. of students in 3 vans and 2 buses = 45+88=133
Hence 133 students would fill 2 buses and 3 vans
What is the mean absolute deviation of her math scores?
5.4
6.4
7.8.
o
8.8
Answer:
The mean absolute deviation (MAD) of her Math scores would be 1.2.
Step-by-step explanation:
Mean: 5.4 + 6.4 + 7.8 + 8.8 = 28.4/4 = 7.1
7.1 - 5.4 = 1.7
7.1 - 6.4 = 0.7
7.1 - 7.8 = 0.7
7.1 - 8.8 = 1.7
Mean Absolute Deviation: 1.7 + 0.7 + 0.7 + 1.7 = 4.8/4 = 1.2
hope this helps :)
Answer: I'm guessing but the answer should beD. 8.8.Tell me if I'm wrong. But at least I tried.
Step-by-step explanation:
A \greenD{7\,\text{cm} \times 5\,\text{cm}}7cm×5cmstart color #1fab54, 7, start text, c, m, end text, times, 5, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{6\,\text{cm}}6cmstart color #11accd, 6, start text, c, m, end text, end color #11accd.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
its 78.1
Step-by-step explanation:
Answer:
78.1
Step-by-step explanation:
On khan academy :)
Find the volume of the square pyramid with base area 49in^2 and a height of 8 inches. Round your answer to two decimal places
Answer:
130.67
Step-by-step explanation:
Sarah claims that when you divide, the number you are dividing always gets smaller. John says this is not true. Who is correct? If John is correct, give a counterexample.
A) Sarah is correct.
B) John is correct. A counterexample is 4 ÷ 5.
C) John is correct. A counterexample is 4 ÷ 1.25.
D) John is correct. A counterexample is 4 ÷ 1/2
Answer:
D
Step-by-step explanation:
John is correct as Dividing does not always gets the quantity smaller for example if we divide 4 by 0.5
We get
4/0.5= 8
A car drives at 45 km/h for 3 hours.
How far does the car travel?
Answer:
Hey!
The car travelled 135 kilometers!
Step-by-step explanation:
Here you have to do the speed (45km/h) multiplied by the time (3 hours)
45 x 3 = 135
So the car has travelled 135 kilometers!
HOPE THIS HELPS!!
-3х +8y = 8
3х - 9y=-15
Please help solve
Answer:
x=16 and y=7
Step-by-step explanation:
This is easy. Its a systems equation.
-3x + 8y=8
3x - 9y= -15
-3x and 3x cancel out
8y plus -9y= -y
8+-15= -7
y=7
-3x+8(7)=8
-3x+56=8
-3x=-48
x=16
Please help with question off algebra nation
Answer:I’m on that same question and I need help to
Step-by-step explanation:
Answer:
Table C is a linear function. Table A is an exponential function. And lastly table B is a quadratic function.
Step-by-step explanation:
I know that table C is linear because it has a constant rate of change the whole entire time.
I know table A is exponential because of the way it drastically increases at the end.
And lastly I know that table B is quadratic because if I were to graph it and keep on placing points, it would make a parabola.
I hope I helped.
A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random
one after the other without replacement, then what is the probability that both the pencils
are purple?
5/182
10/91
2/91
9/182
Answer:10/91
Step-by-step explanation:
Jen earns $35,650 a year working for an electronics supplier. She is single with no
dependents and pays $1,749.80 in state income tax each year. What is the state's tax
rate?
Answer: 5% approximately
Step-by-step explanation:
Jen earns $35,650 a year working for an electronics supplier and pays $1,749.80 in state income tax each year. To calculate the income tax rate, we divide the amount paid as tax by her annual income and then multiply by 100. This will be:
= 1749.80/35650 × 100
= 4.91%
= 5% approximately
The state's tax rate is 5%.
Consider this composite figure. A cone and half sphere. What formulas for volume will need to be applied to calculate the volume of the composite figure? check all that apply.
V = Bh
V = one-fourth B h
V = one-third pi r squared h
V = four-thirds pi r squared
V = four-thirds pi r cubed
Answer:
C and E on edge
Step-by-step explanation:
C- V = one-third pi r squared h
E- V = four-thirds pi r cubed
Answer:
c and e
Step-by-step explanation:
i agree
The diameter of a circle is 6
inches. What is its
approximate
area?
Answer:
A =28.26 inches^2
Step-by-step explanation:
The diameter is 6 so the radius is d/2 = 3
The area is given by
A = pi r^2
A = pi (3)^2
A = 9pi
Using 3.14 for pi
A = 9 * 3.14
A =28.26 inches^2
Answer:
~28.2743
Step-by-step explanation:
- The formula for a circle's area is: Area= pi * radius^2
1.) We know the diameter is 6, and the radius is ALWAYS half of the diameter so the radius=3.
2.) Now we square the radius and multiply it by pi, which ends up as ~28.2743 as the area.
Consider the triangle shown. Triangle R P Q is shown. Angle Q R P is 40 degrees. Angle R P Q is 105 degrees. Angle P Q R is 35 degrees. Which shows the sides in order from longest to shortest? Line segment P Q, line segment R Q, line segment R P Line segment R Q, Line segment P Q, line segment P Q Line segment R Q, line segment R P, line segment P Q Line segment R P, line segment P Q, line segment R Q
Answer:
RQ, PQ and RP.
Step-by-step explanation:
Note: Options are not correct.
From the given information, in triangle RPQ
[tex]\angle QRP=40^\circ[/tex]
[tex]\angle RPQ=105^\circ[/tex]
[tex]\angle PQR=35^\circ[/tex]
In a triangle, greatest angle has longest opposite side and smallest angle has shortest opposite side
Now,
[tex]\angle RPQ>\angle QRP>\angle PQR[/tex]
[tex]RQ>QP>PR[/tex]
[tex]RQ>PQ>RP[/tex]
Therefore, the order from longest to shortest is RQ, PQ and RP.
Answer:
RQ, PQ and RP.
Step-by-step explanation:
math question down below
Answer:
type the question picture isnt showing up
Step-by-step explanation:
fy+ 3 = gx - 15
Write the question in Ax + By = C form
Answer:
I think it's -g(x) + f(y) = -18
Step-by-step explanation:
f(y) +3 = g(x)-15
-3 -3
f(y)= g(x) -18
-g(x) -g(x)
Solution: -g(x) + f(y) -18
A movie theater has a seating capacity of 195. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1404, How many children, students, and adults attended?
Answer:
78 Children, 78 students, and 39 adults
Step-by-step explanation:
TOok me so long but if u add all that u get 195, correct.
78 times 5 is 390
78 times 7 is 546
39 times 12 is 468
which all added together is 1404.
if you're good at logarithms please help me with question h and show full working out ty ;)
Answer: [tex]x=\frac{31}{2}[/tex]
Step-by-step explanation:
[tex]2log_a(x+2)=log_a(x+9)+log_a(x-3)[/tex]
The first thing we are going to do is to get rid of the 2 in front of the first logarithm. To do this, we have the power property that says:
[tex]log_aX^n=nlog_aX[/tex]
Basically, the number in front, is the power of the number in the middle.
Let's rewrite this.
[tex]log_a(x+2)^2=log_a(x+9)+log_a(x-3)[/tex]
Now, in order to add logarithms with the same base (in this case "a"), we write the same base of the logarithm, and multiply their values.
[tex]log_a(x+2)^2=log_a(x+9)(x-3)[/tex]
Multiply the parentheses.
[tex]log_a(x+2)^2=log_a(x^2-3x+9x-27)[/tex]
Combine like terms;
[tex]log_a(x+2)^2=log_a(x^2+6x-27)[/tex]
Solve the binomial on the left side.
[tex]log_a(x^2+4x+4)=log_a(x^2+6x-27)[/tex]
When we have logarithms with same base, we equal their values.
[tex]x^2+4x+4=x^2+6x-27[/tex]
Subtract [tex]x^2[/tex]
[tex]x^2-x^2+4x+4=x^2-x^2+6x-27\\4x+4=6x-27[/tex]
Subtract 6x
[tex]4x-6x+4=6x-6x-27\\-2x+4=-27[/tex]
Subtract 4
[tex]-2x+4-4=-27-4\\-2x=-31[/tex]
Divide by -2.
[tex]x=\frac{-31}{-2}\\ x=\frac{31}{2}[/tex]
Which figure cannot be made by slicing through a cube?
Select two answers.
A. a square
B. an octagon
C. a decagon
D. a rectangle
E. a triangle
*Will award brainliest if correct*
Answer:
B. an octagon
C. a decagon
Step-by-step explanation:
A cube has six (6) plane faces, so any plane slice can intersect at most all 6 of those faces, creating a hexagon. No plane figure with more than 6 sides can be created by slicing a cube with a plane.
Cannot be created:
octagondecagonFind the solutions to the equation below
x2 - 25 = 0
Answer:
12.5
Step-by-step explanation:
Inverse maths
0+25=25
25÷2=12.5 so x = 12.5
Manny is having new carpet installed in his home. The flooring company charges $195 for installations, than $3.50 per square foot of carpet. Identify your variables, then write an equation to represent the total cost Manny will pay for new carpet.
Answer:
y=3.50x+195
Step-by-step explanation:
y=3.50x+195
let y= total cost and x= square feet of carpet needed.
Each square in the grid is a unit square with an area of 1 square unit.
What is the area of the figure?
We just count squares. Those two half-squares will add to one whole square. So this is a 3x4 rectangle plus a triangle of area 2.
Answer: 14