Answer:
sinxcosh + cosxsinh
Step-by-step explanation:
The expansion for sin(x + h) is
sin(x + h)
= sinxcosh + cosxsinh
Thomas bought 100 folders he paid $50 for all the folders He said every folder cost five cents do you agree
Answer:
No, each folder costs 50 cents.
Step-by-step explanation:
0.50*100= 50
ILL GIVE YOU BRAINLIEST!! 33 POINTS!!!
(ONLY IF YOU GET IT CORRECT)
Answer:
80 ft
Step-by-step explanation:
the length of an arc is equal to the degree the arc makes
Answer:
A. 28π/9 ftStep-by-step explanation:
Arc length is:
2πr*80°/360° ft = 4π*7/9 ft =28π/9 ftCorrect choice is A
How do you find the unknown length for a special right angel
Answer: Pythagorean theroem
Step-by-step explanation:
The easiest method to use in terms of a missing side as long as you know at least two other variables whether its another side or angle
cuanto es 12.000 + 5.000
The answer is 17.000
Use the greatest common factor and the distributive property to write an equivalent expression in factored form for the following expression: 4d +12e. Do not use spaces.
Answer:
4
Step-by-step explanation:
The greatest common factor of [tex]4d+12e[/tex] is [tex]4[/tex].
[tex]4(d+3e)[/tex]
1.) Determine the type of solutions for the function (Picture 1)
2.) Determine the type of solutions for the function (Picture 2)
3.) Use the formula b2−4ac to determine the value of the discriminant of the function f(x)=2x2+8x+6
Use Desmos Scientific (Picture 3)
4.) Describe the transformations of the function
g(x)=−25(x−4)2+6 from the transformation of the parent function
Use phrases such as: the graph is reflected or not reflected/ the graph gets wider or narrower/ the graph slides left or right _________ units and slides up or down _________ (Picture 4)
Answer:
1) 2 nonreal complex roots
2) 1 Real Solution
3) 16
4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)
Step-by-step explanation:
1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0
We get;
y = a·x² + b·x + c
At y = 6, x = -2
Therefore;
6 = a·(-2)² - 2·b + c = 4·a - 2·b + c
6 = 4·a - 2·b + c...(1)
At y = 8, x = 0
8 = a·(0)² + b·0 + c
∴ c = 8...(2)
Similarly, we have;
At y = 8, x = -4
8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8
16·a - 4·b = 0
∴ b = 16·a/4 = 4·a
b = 4·a...(3)
From equation (1), (2) and (3), we have;
6 = 4·a - 2·b + c
∴ 6 = b - 2·b + 8 = -b + 8
6 - 8 = -b
∴ -b = -2
b = 2
b = 4·a
∴ a = b/4 = 2/4 = 1/2
The equation is therefor;
y = (1/2)·x² + 2·x + 8
Solving we get;
x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))
x =( -2 ± √(-12))/1 = -2 ± √(-12)
Therefore, we have;
2 nonreal complex roots
2) Give that the graph of the function touches the x-axis once, we have;
1 Real Solution
3) The given function is f(x) = 2·x² + 8·x + 6
The general form of the quadratic function is f(x) = a·x² + b·x + c
Comparing, we have;
a = 2, b = 8, c = 6
The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;
D = 8² - 4 × 2 × 6 = 16
The discriminant of the function, D = 16
4.) The given function is g(x) = (-2/5)·(x - 4)² + 6
The parent function of a quadratic equation is y = x²
A vertical translation is given by the following equation;
y = f(x) + b
A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)
A vertical reflection is given by an equation of the form; y = -f(x) = -x²
A narrowing is given by an equation of the form; y = b·f(x), where b < 1
Therefore, the transformations of g(x) from the parent function are;
g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.
A certain control heating process requires that the temperature be raised from − 23 ∘ C at the rate of 4 ∘ C every hour . Find the temperature after 12 hours .
Answer:
Temperature after 12 hours = 25°C
Step-by-step explanation:
Given:
Current tempreture = -23°C
Tempreture incresing rate = 4°C per hour
Total time = 12 hour
Find:
Temperature after 12 hours
Computation:
Temperature after 12 hours = Current tempreture + (Tempreture incresing rate)(Total time)
Temperature after 12 hours = -23 + (4)(12)
Temperature after 12 hours = -23 + 48
Temperature after 12 hours = 25°C
Which is greater 6 cups or 4 quarts
Answer:
not sure but 4 quarts i think
Answer:
4 quarts is greater because it is equal to 16 cups
Above are two different models of the same rectangle. If the length of the model on the top is 6 cm, what is the length of the model on
the bottom?
A. 15 cm
В. 12cm
C. 21cm
D.36cm
Answer:
D.36cm
Step-by-step explanation:
If the top rectangle have 6 cm, it means 6×16=108 ft
If the two rectangles are the same, it means that the bottom rectangle have also 108 ft, so:
108÷3= 36 cm
2 and 2/5 divided by 1 and 1/2 =
Answer:
1.6 2 and 2/5 divided by 1 and 1/2 =1.6
Step-by-step explanation:
Drag a company name into each box to show the total cost from least to greatest.
Answer:
Company A:
$3 each6% for shipping150*3*1.06 = $477 total costCompany B:
$3.10 each4% for shipping150*3.1*1.04 = $483.60 total costCompany C:
$3.20 eachNo shipping charge150*3.2 = $480 total costLeast cost | Medium cost | Greatest cost
Company A | Company C | Company B
can i get help please
Answer:
B. 1,130.4 cm³
Step-by-step explanation:
The formula for volume of a cylinder: πr²h (π x radius x radius x height).
(3.14 is the substitute for pi).
According to the word problem, the radius is 6.
And the height is how high a shape is; the height is 10.
Now we have our whole equation.
πr²h (π x radius x radius x height)
π · 6²· 10 (3.14 · 6 · 6 · 10)
π · 6²· 10 (3.14 · 6 · 6 · 10) = 1,130.4
Therefore, 1,130.4 cm³ is the volume of this cylinder.
You wish to compare the prices of apartments in two neighboring towns. You take a simple random sample of 12 apartments in town A and calculate the average price of these apartments. You repeat this for 15 apartments in town B. Let μ1 represent the true average price of apartments in town A and μ2 the average price in town B. If we were to use the pooled t test, what would be the degrees of freedom?
Answer:
υ= 25
Step-by-step explanation:
IF we have two small independent samples from two normal populations with means μ1 and μ2 and standard deviations σ1 and σ 2 but unknown ,then the unbiased pooled or combined estimate of the common variance sigma square ha s student's t distribution with degrees of freedom given by
υ= n1+ n2- 2
In the given question
Sample A size= n1= 12
Sample B size = n2= 15
υ= 12+15-2
υ= 25
where
sp²= (n1-1) s1² + (n2-1) s2² / n1+n2-2
Josh orders 12 soccer jerseys for his team, including his coach. He pays a total
of R594,60 for the jerseys. What did each jersey cost?
Answer:
4955
Step-by-step explanation:
soccer jerseys--> 12
total--> R 59460
= 59460 divided by 12
= 4955
Ans: Each jersey costs R 4955.
thenks and mark me brainliestt pls :))
Based upon risk, which of the following answers ranks from high to low?
Collectables
Bonds
Stocks
Mutual Funds
Answer:
stocks, bonds, mutual funds, and collectables
Step-by-step explanation:
The Kitchen committee purchased 76 boxes of cookies for Vacation Bible School,
Monday, 14 2/3 boxes were used; Tuesday 15 boxes; and Wednesday 13 3/4 boxes.
How many boxes were used during the three days?
(Write the operation and the answer)
If the gradient of the tangent to
[tex]y = \sqrt{x} [/tex]
is
[tex] \frac{1}{6} [/tex]
at point A, find the coordinates of A.
Answer:
Point A(9, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y) Functions Function Notation Terms/Coefficients Anything to the 0th power is 1Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \sqrt{x}[/tex]
[tex]\displaystyle y' = \frac{1}{6}[/tex]
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y = x^{\frac{1}{2}}[/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2}x^{\frac{1}{2} - 1}[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{2}x^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{1}{2x^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{1}{2\sqrt{x}}[/tex]Step 3: Solve
Find coordinates of A.
x-coordinate
Substitute in y' [Derivative]: [tex]\displaystyle \frac{1}{6} = \frac{1}{2\sqrt{x}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle \frac{1}{3} = \frac{1}{\sqrt{x}}[/tex][Multiplication Property of Equality] Cross-multiply: [tex]\displaystyle \sqrt{x} = 3[/tex][Equality Property] Square both sides: [tex]\displaystyle x = 9[/tex]y-coordinate
Substitute in x [Function]: [tex]\displaystyle y = \sqrt{9}[/tex][√Radical] Evaluate: [tex]\displaystyle y = 3[/tex]∴ Coordinates of A is (9, 3).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
FAST PLEASE❗️❗️❗️❗️‼️
Select two ratios that are equivalent to 27: 9.
Choose 2 answers:
А
3:1
B
9:3
С
6:3
9:6
E
12 : 3
Answer:
A
B
Step-by-step explanation:
Answer:
A and B are the two ratios equivalent to 27:9. All you have to do is divide 27 by 3 and 9 by 3 also and you will get 3:1. Just remember your multiplication tables, you'll find the answer easily.
Hope this helps! :)
please help me i am doing over due work and i want to finish and listen to cuco and rest
Question 14
3+6x3(1+2x)3(2x+1)You can check using the distributive and commutative properties that all of these are equivalent to 6x+3.
Question 15
(7+5)p - p = 12p - p = 11p
Question 16
7 + 5(p-p) = 7 + 5(0) = 7
Question 17
No parentheses are needed.
We had a surprise party for Grandmama she was very surprised. Find the error in the sentence
Answer:
There needs to be a (.) or an (;)
Step-by-step explanation:
Please say whether they are equivalent or not
Answer:
Nothing is here. You may need to reupload question.
HELP!!Which table represents a function?
х
O
3
5
9
х
0
3
lo
3
у
1 | 10 | 16 | 10
Y у
1
10 16 14
A
B В
Х
0
3
5
0
Х
5
3
5
9
у
1 | 10 | 16 | 11
у
1210 16 10
Answer:
a
Step-by-step explanation:
the answer is a because a function has no repeating x values.
''Table A'' represent the function.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
There are four relation are shown in figure.
Now, We know that;
A relation between a set of inputs having one output each is called a function.
In option A;
Every inputs have one output exactly.
As, 0 → 1
3 → 10
5 → 16
9 → 10
Hence, It is a function.
In option B;
Two outputs have same inputs.
Hence, It is not a function.
In option C;
Two outputs have same inputs.
Hence, It is not a function.
In option D;
Two outputs have same inputs.
Hence, It is not a function.
Thus, ''Table A'' represent the function.
Learn more about the function visit:
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The function H(t) = −16t2 + 75t + 25 shows the height H(t), in feet, of a baseball after t seconds. Part A: After how many seconds does the baseball hit the ground? You do not need to show your work. Part B: What is the maximum height of the baseball? You do not need to show your work.
Step-by-step explanation:
Given that,
The function that shows the height of a baseball after t seconds is given by :
[tex]H(t)=-16t^2+75t+25[/tex] ....(1)
Part (A).
When the baseball hits the ground,
H(t) = 0
So,
[tex]-16t^2+75t+25=0\\\\t=5\ s\ and\ t=-0.31\ s[/tex]
After 5 seconds the baseball will hit the ground.
Pat (B)
For maximum height, put dH/dt = 0
So,
[tex]\dfrac{d}{dt}(-16t^2+75t+25)=0\\\\-32t+75=0\\\\t=2.34\ s[/tex]
Put t = 2.34 s in equation (1).
[tex]H(t)=-16(2.34)^2+75(2.34)+25\\\\H(t)=112.89\ m[/tex]
Hence, this is the required solution.
What is the length of AB?
Answer:
10
I took the quiz ;)
Answer:
10
Step-by-step explanation:
First we need to find A and B
A(-7;-6)
B(1;0)
for the equation 4x+6y+24=0 find:
A)the equation in the slope intercept form
B) The X and Y intercepts
Answer:
x-intercept: -6 (-6,0 if you need full coordinates)
y-intercept: -4 (0,-4 for full coordinates)
Step-by-step explanation:
I'm in a rush but ask if you need steps
Answer:
a) y = -(2/3)x - 4
b) x-intercept = -6
y-intercept = -4
Step-by-step explanation:
Slope intercept form is
y = mx + b
4x + 6y + 24 = 0
Subtract 4x + 24 from both sides
6y = -4x - 24
Divide both sides by 6
y = -(2/3)x - 4
-------------------------------------
X intercept
at the x intercept y = 0
0 = (-2/3)x - 4
add (2/3) x to both sides
(2/3)x = - 4
Multiply both sides by 3/2
x = -12/2
x = -6
----------------------------
Y intercept
at the y-intercept x = 0
y = -(2/3)0 - 4
y =-4
The measure of an angle is 5. What is the measure of its complementary angle?
Answer:
85°
Step-by-step explanation:
90° - 5° = 85°
If my answer is incorrect, pls correct me!
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-Chetan K
what is the area please help asap!
The labeling isn't very clear but I think the answer is 72...
Have a good day :)
Find (f∘g)(0).
f(x)=x+3
g(x)=x2+5x
(f∘g)(0)=
Answer:
[tex](0 + 3) \times ( {0}^{2} + 5 \times 0) = 3 \times 0 = 0[/tex]
David wanted to go on an amusement park ride. A sign posted at the entrance read “You must be greater than 42 inches tall and no more than 57 inches tall for this ride.” Which inequality would model the height, x, required for this amusement park ride?
Answer:
42 < x less than or equal to 57
Step-by-step explanation:
The inequality that would model the height, x, required for this amusement park ride is 57 > h > 42.
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations
Now it is given that,
Lower limit of height must be greater than 42 inches
Upper limit of height must be less than 57 inches
If h is the height used for model.
Thus, h < 57 inches
and, h > 42 inches
Therefore the inequality model will be,
57 > h > 42
Thus, the inequality that would model the height, x, required for this amusement park ride is 57 > h > 42.
To learn more about inequality :
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