Answer:
f(c)=4f, left parenthesis, c, right parenthesis, equals, 4 for at least one ccc between -2−2minus, 2 and 11
Step-by-step explanation:
hope this helps
There is a root in the given equation ex = 6 − 5x, in the interval (0, 1).
It is required to find the functions has f(0) and f(1).
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
Using Intermediate value Theorem we have
If F(x) is continuous and f(a) and f(b) have opposite signs then there will be at a point (a ,b) whereby F(c) = 0
The equation is
[tex]f(x) = e^{x} - 6 + 5x = 0[/tex] on interval [0, 1],
This shows that the F(x) is continuous on (0,1).
[tex]f(0) = e^{0} - 6 + 5*0 = -5\\ \\f(1) = e^{1} - 6 + 5*1 = e-1[/tex]
e = 2.7182
since the functions has f(0) and f(1) have opposite signs then there is at a point whereby F(c) = 0 ( intermediate value theorem fulfilled )
Hence, there is a root in the given equation ex = 6 − 5x, in the interval (0, 1).
Learn more details about function here:
https://brainly.com/question/12431044
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What is the y-intercept of the line given by the equation below?
y = 8x + 7
Answer:
The y-intercept is [tex]7[/tex]
Step-by-step explanation:
Think of y=mx+b
m is the slope
b is the y-intercept
since 7 is in the b, the y-intercept is 7.
please help me with this question
Answer: yes
Step-by-step explanation:
Answer:
Step-by-step explanation:
A = 3
B = 5.5
C = 11
Find the area of the shaded region.
You do not need to include units.
21 in
20 in
Answer: about 450.52
Use Pythagorean Theorem to find the diameter of the circle. Divide the diameter by 2 to find the radius, and solve for the area of the circle (πr^2). Then, solve for the area of the triangle (bh/2). Subtract the area of the triangle from the area of the circle.
Four people—Rob, Sonja, Jack, and Ang—enter their names into a drawing. The winner receives either a t-shirt or a mug, and which prize they receive is randomly selected.
What is the probability that either Ang wins and is given a mug, or Jack wins (and is given either prize)? Give the answer as a percent.
Answer:
3.125%Step-by-step explanation:
It is assumed the first winner is part of the second drawing as well
There are 4 people and two prizes
The probability of each person to win is 1/4
The first winner has 1/2 probability to get a mug
P(win and a mug) = 1/4*1/2 = 1/8 for AngThe second winner, if it is Jack, gets either prize
P(win and either prize) = 1/4The combined probability is:
1/8*1/4 = 1/32 = 0.03125 = 3.125%Answer:
The probability is 37.5%
Step-by-step explanation:
There are eight total outcomes, but we only need to focus on three. Ang winning a mug and Jack winning either a t-shirt or a mug, that makes three. Write that as a fraction: 3/8, and then divide. 3 divided by 8 gives us 0.375. But we need a percent so multiply that by 100, that now gives us 37.5.
So, the probability that either Ang wins and is given a mug, or Jack wins is 37.5%. If it makes you feel more confident in this, I put the same exact answer for my assessment and I got it correct.
Also, “The monks named me aOng.”
Given: 5(x + 2) - 3 = 4(x - 1)
Prove: x = -11
Statement Reason
5(x + 2) - 3 = 4(x - 1) given
5x + 10 - 3 = 4x - 4 [?]
5x + 7 = 4x - 4 addition
5x = 4x - 11 subtraction
x = -11 subtraction
Answer:-11 proved
Step-by-step explanation:
5(x+2)-3=4(x-1)
Open brackets
5x+10-3=4x-4
Collect like terms
5x-4x=-4+3-10
x=-11
help please quick 29 points please answer
Answer:
Step-by-step explanation:
It costs $7 for 1 baseball and Mrs.Weeks is buying 36 baseballs, that would be: $7 X 36 = $252
It costs $5 for 1 softball and Mrs.Weeks is buying 24 softballs that would be:
$5 X 24 = $120
$252 + $120 = $372 for the baseballs and softballs
Mrs.Weeks gives the cashier four $100 bills that is $400 dollars.
so $400 - $372 = $28 (Mrs.Weeks change)
Simon knows that 25% of the people at a movie theater are seeing a romantic comedy. How many people are at the movie theater if 55 people are seeing a romantic comedy?
Answer:
220
Step-by-step explanation:
Number of people in theater = x
25% * x = 55
x = 55 / 25% = 55 / 25 * 100 = 55 * 4 = 220
A movie theater has a seating capacity of 387. 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 $ 2808, How many children,
students, and adults attended?
Answer:
The attendance was 198 children, 90 students and 99 adults.
Step-by-step explanation:
We define:
c: children attendance
s: students attendance
a: adult attendance
The equation that describes the total ticket sales is:
[tex]5c+7s+12a=2808[/tex]
We also know that the children attendance doubles the adult attendance:
[tex]c=2a[/tex]
The third equation is the seating capacity, which we assume is full:
[tex]c+s+a=387[/tex]
We start by replacing variables in two of the equations:
[tex]c=2a\\\\s=387-c-a=387-2a-a=387-3a[/tex]
Then, we solve the remaining equation for a:
[tex]5c+7s+12a=2808\\\\5(2a)+7(387-3a)+12a=2808\\\\10a+(2709-21a)+12a=2808\\\\10a+12a-21a=2808-2709\\\\a=99[/tex]
Then, we solve for the other two equations:
[tex]c=2a=2*99=198\\\\s=387-3a=387-3*99=387-297=90[/tex]
The attendance was 198 children, 90 students and 99 adults.
simplify using order of operations
17-5⋅(3-4)+(-8)⋅(-3)
Answer:
46
Step-by-step explanation:
17−5(3−4)+(−8)(−3)
=17−(5)(−1)+(−8)(−3)
=17−(−5)+(−8)(−3)
=22+(−8)(−3)
=22+24
=46
Greatest common factor for 30 abd 42
Answer:
6
Step-by-step explanation:
Because you are familiar with your times tables, you know that ...
30 = 6·5
42 = 6·7
The greatest common factor is 6.
Brainliest for anyone if they get this CORRECT.
answer is D7/2
hope it helps!!!!!!!!!!!!!!!!!!!!!!
13x=-21-6y and -8x=36+6y
Answer:
[tex]x=3\\y=-10[/tex]
Step-by-step explanation:
[tex]13x=-21-6y\\-8x=36+6y[/tex]
Let's take one of the equations and solve for x. I'll take the first one.
[tex]13x=-21-6y[/tex]
Divide by 13.
[tex]x=\frac{-21-6y}{13}[/tex]
Now replace x in the second equation.
[tex]-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y[/tex]
Distribute -8
[tex]\frac{168+48y}{13}=36+6y[/tex]
Break down the fraction.
[tex]\frac{168}{13}+\frac{48}{13}y=36+6y[/tex]
Subtract [tex]\frac{168}{13}[/tex]
[tex]\frac{48}{13}y=36+6y-\frac{168}{13}[/tex]
Subtract 6y
[tex]\frac{48}{13}y-6y=36-\frac{168}{13}[/tex]
Combine like terms;
[tex]\frac{48-13*6}{13}y=\frac{36*13-168}{13}[/tex]
Solve;
[tex]\frac{48-78}{13}y=\frac{468-168}{13}[/tex]
Keep solving;
[tex]\frac{-30}{13}y=\frac{300}{13}[/tex]
Multiply by the negative reciprocal of the fraction next to y.
[tex](-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )[/tex]
On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10
[tex]y=-10[/tex]
After having found y, replace it in any of the equations to find x.
[tex]13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3[/tex]
Answer:
x=3
y=-10
Step-by-step explanation:
13x=-21-6y...............(1)
-8x=36+6y................(11)
Add (11) to (1)
5x=15-6y+6y
5x=15
Divide both sides by 5
5x/5=15/5
x=3
Substitute x=3 in 13x=-21-6y
13(3)=-21-6y
39=-21-6y
Collect like terms
39+21=-6y
60=-6y
Divide both sides by -6
60/-6=-6y/-6
-10=y
y=-10
ILL GIVE YOY BRAINLIST *have to get it right * What is the slope of the line shown in the graph?
Answer:
A
Step-by-step explanation:
3 over 2 down.
Charlotte is creating a triangular pennant with geometry software. The base measure of the pennant on screen is 550 pixels. The height is 275 pixels. Charlotte resizes the pennant, keeping the aspect ratio constant, so the height is 165 pixels. What is the scale factor of the dilation? What is the base of the pennant?
determine the sample space of all of the possible outcomes of choosing a card numbered 1,2,3, or 4 and a blue, green, or yellow marble. how many outcomes involve choosing a blue marble
Answer:
a) Sample Space = {(1,blue), (1, green), (1, yellow), (2,blue), (2, green), (2, yellow), (3,blue), (3, green), (3, yellow), (4,blue), (4, green), (4, yellow)}
b) 4 outcomes involve choosing blue marble.
Step-by-step explanation:
a) FOR SAMPLE SPACE:
No. of options for choosing card = 4
No. of options for choosing marble = 3
No. of options for choosing a card and a marble = (3)(4) = 12
Therefore,
Sample Space = {(1,blue), (1, green), (1, yellow), (2,blue), (2, green), (2, yellow), (3,blue), (3, green), (3, yellow), (4,blue), (4, green), (4, yellow)}
b) CHOOSING BLUE MARBLE:
It is evident from the sample space that, there are only 4 outcomes, which involve choosing a blue marble.
Those 4 outcomes are as follows:
(1, blue), (2, blue), (3, blue), (4, blue)
Answer:
12
Step-by-step explanation:
Find the length of the right triangle’s other leg. Round to the nearest tenth.
leg = 10 ft
hypotenuse = 12 ft
Answer: 17.32
Step-by-step explanation:
subtract 6066 from 294
Answer:
-5772
Step-by-step explanation:
294-6066=-5772
Answer:
The answer would be 2,772
Step-by-step explanation:
6,066 - 294 = 2,272
I hope that helps!!:)
The equation we are given (-at² + bt + c) is a parabola. How do we know this?
It's a polynomial of degree 2. Every polynomial of degree 2 is a parabola
Math question please help
Answer:
y = -7x +8
Step-by-step explanation:
The slope-intercept form of the equation of a line is ...
y = mx +b
where m represents the slope, and b represents the y-intercept. The y-intercept is the value of y when x=0. Here, you have m=-7 and b=8. Your equation is ...
y = -7x +8
The median and mode of this set of data (23,13,17,11,11)
Answer:
Mode: 11
Median: 13
Answer:
(23, 13, 17, 11, 11):
Median: 13
Arithmetic mean: 15
Geometric mean: 14.380735416546
Harmonic mean: 13.848764056076
Mode: 11
Standard deviation: 4.5607017003966
Variance: 20.8
Mean Absolute Deviation: 4
Range: 12
Interquartile range: 9
Lower quartile: 11
Upper quartile: 20
Quartile deviation: 4.5
Population size:5
At Pizza Pi, 80% of the pizzas made last week had extra cheese. If 16 pizzas had extra
cheese, how many pizzas in all were made last week?
Answer:
20 pizzas in total
bro now i want pizza
Step-by-step explanation:
16 pizzas = 80%
8 pizzas = 40%
4 pizzas = 20%
Kono Dio Da!!!
what is the distance between (7,0) and (7,-9)
Answer:
9 units
Step-by-step explanation:
You can use the distance formula, or you could recognize that since both points have the same x-coordinate, they lie on a vertical line, so the distance between them would be the absolute value of 0 and -9, which is 9.
Hope this helped! :) (Srry I was a little late)
Answer:
the answer is nine units
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answer:
a
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Firstly, [tex]x^{-y} = \frac{1}{x^y}[/tex], so in this case, you multiply [tex](6^{-8})^4[/tex], which equals [tex]6^{-32}[/tex]. Then, plug it into [tex]x^{-y} = \frac{1}{x^y}[/tex] and you get
[tex]6^{-32} = \frac{1}{6^{32}}[/tex], so it's [tex]\boxed{A.}[/tex]
Oswaldo is cooking a big dinner. He buys 301230\dfrac{1}{2}302130, start fraction, 1, divided by, 2, end fraction ounces of sweet potatoes, 131413\dfrac{1}{4}134113, start fraction, 1, divided by, 4, end fraction ounces of asparagus and 201420\dfrac{1}{4}204120, start fraction, 1, divided by, 4, end fraction ounces of squash.
How many pounds of vegetables did Oswaldo buy altogether?
Answer:
4
Step-by-step explanation:
30 + 20 + 13 = 63, + fractions = 64. But you have to divide to get to pounds. So 64 / 16 = 4
YAY
What does the graph of Ax)=-(x-3)* +11 look like?
A. opens downward with a vertex of (3, 11)
B. opens downward with a vertex of (-3, 11)
C. opens upward with a vertex of (3, 11)
D. opens upward with a vertex of (-3, 11)
Answer:
A. opens downward; vertex (3, 11)
Step-by-step explanation:
The leading coefficient is negative (-1), so we know the parabola opens downward.
The vertex in the form ...
A(x) = a(x -h)² +k
is (h, k). Comparing to the given equation, we find (h, k) = (3, 11).
The vertex is (3, 11).
Prove that line RT⟂ line SU.
Answer:
1. Statement: ∠RVS ≅ ∠SVT
2. Statement: m∠RVS + m∠SVT = 180°
3. Statement: m∠RVS + m∠RVS = 180°
4. Statement: m∠RVS = 90°
5. Statement: Line RT ⊥ Line SU
1. Reason: Given
2. Reason: Angles forming a linear pair sum of 180°
3. Reason: Substitution
4. Reason: Algebra
5. Reason: Defintion of perpendicular lines
Step-by-step explanation:
First, write the given (line 1).
Next, use the fact that angles forming a linear pair sum to 180° to show m∠RVS + m∠SVT = 180° (line 2).
Next, substitute m∠RVS for m∠SVT in m∠RVS + m∠SVT=180° (line 3).
Next, use algebra to show m∠RVS = 90° (line 4).
Finally, use the definition of perpendicular lines to prove that Line RT ⊥ Line SU (line 5).
Hope this helps :D
Answer:
1. Statement: ∠RVS ≅ ∠SVT
2. Statement: m∠RVS + m∠SVT = 180°
3. Statement: m∠RVS + m∠RVS = 180°
4. Statement: m∠RVS = 90°
5. Statement: Line RT ⊥ Line SU
1. Reason: Given
2. Reason: Angles forming a linear pair sum of 180°
3. Reason: Substitution
4. Reason: Algebra
5. Reason: Defintion of perpendicular lines
If you are given the coordinates of A, B, C, and D, how could you prove that ABCD is a rectangle?
A. Use the slope formula to show that AB∥CD, BC∥AD, AC⊥BD.
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.
C. Use the distance formula to show that AB = CD, BC = AD, and use the midpoint formula to show that the midpoint of AC and the midpoint of BD are the same point.
D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.
E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.
Answer:
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.Step-by-step explanation:
Your question does not say, "check all that apply," but I see three possible answers.
A -- can be ruled out because the diagonals of a rectangle are not necessarily perpendicular. This will show the figure is a rhombus.
B -- When both pairs of opposite sides are the same length, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.
C -- When opposite sides are the same length, the figure is a parallelogram. The diagonals of any parallelogram will have the same midpoint.
D -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with a right angle must be a rectangle.
E -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.
_____
Additional comment
My favorite method is to show AC = BD and their midpoints are the same. The midpoints of the diagonals being the same makes it a parallelogram, and the same-length diagonals makes the parallelogram a rectangle.
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer:D
Step-by-step explanation:
(4/5)^0
(4^0)/(5^0)=1/1=1
simplify 36ab divided by 40ab
In his statistics class, Sam said, “Linear regression model is a tool to predict the relationship between the dependent variable, and independent variable. So, there will be one specific linear regression model that I can use to know the relationship of variables. I decided to use ordinary least square to have the best estimates for linear regression model parameters because ordinary lease square makes me find the linear regression equation with minimum average of difference between actual dependent variable and the value predicted by linear regression model.” Is Sam correct? If not, how do we need to fix his idea?
Answer:
Yes, Sam is correct and there is no need to fix his idea.
Step-by-step explanation:
Linear Regression model is one of the Important model that is been used in statistics especially in statistics which actively involved data analysis of dependent variable and an independent variable. Between these two that is dependent variable and an independent variable, the application of Linear Regression model is used in showing the relationships between the two variables.
Just like Sam said in the question above, '' “Linear regression model is a tool to predict the relationship between the dependent variable, and independent variable...'', that is what linear regression is used for.
Answer:
Yes, obviously Sam is correct
Step-by-step explanation:
Linear regression model is a tool to predict the relationship between the dependent variable, and independent variable
Linear Regression model is one of the Important model that is been used in statistics involved data analysis of dependent variable and an independent variable. Between these two that is dependent variable and an independent variable, the application of Linear Regression model is used in showing the relationships between the two variables.
