Answer:
x = 6/7
Step-by-step explanation:
14x - 8 = 4
Add 8 to both sides.
14x = 12
Divide both sides by 14.
x = 12/14.
Simplify
x = 6/7
Proof:
14x - 8 = 4
Substitute variable.
14(6/7) - 8 = 4
Multiply.
12 - 8 = 4
Subtract.
4 = 4.
Find the derivative of f(x) =( -7/x) at x = -3.
pls help !!
Answer:
[tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Derivative of a constant is a 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \frac{-7}{x}[/tex]
[tex]\displaystyle x = -3[/tex]
Step 2: Differentiate
Quotient Rule: [tex]\displaystyle f'(x) = \frac{\frac{d}{dx}[7]x - \frac{d}{dx}[x](-7)}{x^2}[/tex]Basic Power Rule: [tex]\displaystyle f'(x) = \frac{(0)x - x^{1 - 1}(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - x^0(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - 1(-7)}{x^2}[/tex]Multiply: [tex]\displaystyle f'(x) = \frac{0 + 7}{x^2}[/tex]Add: [tex]\displaystyle f'(x) = \frac{7}{x^2}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle f'(-3) = \frac{7}{(-3)^2}[/tex]Evaluate exponents: [tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Mary is building a rectangle enclosure for all her chickens. The length of the enclosure is 22.5m and the width is 13.2m. If she already has 30m of fencing, how much more does she need?
Answer:
41.4 meters
Step-by-step explanation:
22.5 + 13.2 = 35.7
35.7 × 2 = 71.4m (because of the other 2 sides of the rectangle)
71.4-30=41.4m
The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD? (4 points) negative 1 over 2 −2 2 1 over 2
Answer:
answer 1/2
Step-by-step explanation:
y-3=-2(x-4)
y-3=-2x+8
y=-2x+11
y=mx+c
m= slope which is -2
because it perpendicular It became 1/2
Can some one help me with this question its hard :( down below ill give brainliest and plz explain
Answer:
1 is the answer
Step-by-step explanation:
10^0 on the calculator is 1
What is the correct Algebraic Inequality for the given graph?
plsss help
Answer:
X < 9
The hallow circle means just greater than or less than
The numberline is pointing downwards showing that 9 is greater than x(unknown value)
The point is also on 9
Jasmine, Georgia, and Olivia are in boats on a lake. Their relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the nearest whole number.
ft
Answer:
52ft
Step-by-step explanation:
The equation of the axis for the following graph is?
Step-by-step explanation:
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
Help me
3.9x0.5+4 5/6 / 3 3/7
someone help me please
Answer:
18
Step-by-step explanation:
cos 49=x/27
27 cos 49= x
x = 17.7
approximately 18
Let's evaluate 3x + 4 when x=5
First, I need to substitute 5 in for x
3( ) + 4
Put the steps for Evaluating an Expression in order: Evaluate x-3 when x=9?
Can you evaluate 3a + 4b when a=6 and b=5?
Substitute your values for a and b
3( ) + 4( )
Evaluate the following expression when a= 3 and b = 6
6a+3b
The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π
Answer: √ 4A /π or 13.996450848446
Step-by-step explanation:
D = 2R
C = 2πR
A = πR2
where:
R: Radius
D: Diameter
C: Circumference
A: Area
π: 3.14159
Whats the value of b?
Answer:
b = 5
Step-by-step explanation:
This triangle is a 30 - 60 - 90 special right triangle
As you can see in the image provided below the longer leg is equal to the short leg times √3
This means that the short leg is equal to the long leg divided by √3
Thus, b = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex] which is equivalent to 5
The table shows the total profits earned from magazine sales.
select a function that models this situation.
O A.) y = 24x
O B.) y = 10x + 28
O C.) y = 14x + 20
O D.) y = 15x + 10
BRAINLIEST!!!!!!!!!!!!!!!!!!! I need the answer by now PLZ
Answer:
length times width times height is=volume
Step-by-step explanation:
8*7*6=336
the volume is 336
A jar is full of gumballs and Hershey’s kisses. 2/3 of the jar is gumballs. 3/5 of these gumballs are red. What fraction of the whole jar are the red gumballs?
Answer:
[tex]\frac{2}{5}[/tex] of the jar contains red gumballs
Step-by-step explanation:
Hi there!
What we know:
[tex]\frac{2}{3}[/tex] of the jar is gumballs[tex]\frac{3}{5}[/tex] of the gumballs are redTo find the fraction of red gumballs in the whole jar, multiply the fractions:
Red gumball fraction × Total gumball fraction
[tex]= \frac{3}{5}*\frac{2}{3}\\= \frac{2}{5}[/tex]
Therefore, red gumballs contain [tex]\frac{2}{5}[/tex] of the whole jar.
I hope this helps!
A certain television is advertised as a 38-inch TV (the diagonal length). If the height
of the TV is 25 inches, how wide is the TV? Round to the nearest tenth of an inch.
Answer: 28.6
Step-by-step explanation:
Item 4
How do these U.S. customary units of liquid volume compare?
Drag and drop the volume measures so they are in order from smallest to largest.
Pint
Cup
Quart
Find the area of the circle with a diameter of 28 meters.use 22/7 for pi
Answer:
615.75 m²
Step-by-step explanation:
If the diameter is 28m, then the radius is 14m.
A = πr²
[tex]\frac{22}{7}[/tex] · 14²
615.75
A piece of wire bent to form a square of area 121cm2 . Calculate
(a) The length of each side of the square
The vertex angle of an isosceles triangle is three times the measure of either base angle. Find the area if the measure of the congruent sides are 14 in
Answer:
[tex]Area = 93.21in^2[/tex]
Step-by-step explanation:
Given
[tex]\theta \to[/tex] vertex angle
[tex]\alpha \to[/tex] base angle
[tex]\theta = 3\alpha[/tex]
[tex]l = 14in[/tex] -- congruent sides
Required
The area of the triangle
First, calculate the angles
[tex]\theta + \alpha + \alpha = 180^o[/tex] ----- angles in an isosceles triangle
Substitute [tex]\theta = 3\alpha[/tex]
[tex]3\alpha + \alpha + \alpha = 180^o[/tex]
[tex]5\alpha = 180^o[/tex]
Divide both sides by 5
[tex]\alpha = 36^o[/tex]
Recall that: [tex]\theta = 3\alpha[/tex]
[tex]\theta = 3 * 36^o[/tex]
[tex]\theta = 108^o[/tex]
The area is then calculated as:
[tex]Area = \frac{1}{2}l^2 \sin(\theta)[/tex]
[tex]Area = \frac{1}{2}*14^2 \sin(108^o)[/tex]
[tex]Area = \frac{1}{2}*196 *0.9511[/tex]
[tex]Area = 93.21in^2[/tex]
From a sample tray, 4 of the last 10 cake samples chosen were strawberry. Based on past data, of the next 20 samples taken, how many should you expect to be pieces of strawberry cake?
Answer: 8
Step-by-step explanation:
There are 8 pieces of strawberry cake should you expect for 20 samples.
What is mean by Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
From a sample tray, 4 of the last 10 cake samples chosen were strawberry.
Hence, Let pieces of strawberry cake should you expect for 20 samples is, = x
Thus, By definition of proportion, we get;
⇒ 4/10 = x/20
⇒ 4 × 20 / 10 = x
⇒ x = 8
Thus, There are 8 pieces of strawberry cake should you expect for 20 samples.
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ2
Mystique's favorite part of a pizza is the crust. Which measurement is the BEST for determining how much crust is on a pizza?
A) The circumference
B) The area
PLEASE HELP :) THANKS
machine produces 195 bolts in 20 minutes. At the same rate, how many minutes would it take to produce 312 bolts?
Answer:
32
Step-by-step explanation:
There are two ways of doing this.
Frist, divide the amount of bolts by time. This will get you the bolts produced in 1 minute.
195/20
=
9.75
Now we know that 9.75 bolts are produced every 1 minute.
Lets divide the 312 bolts by the bolts produced per minute. This will give us the amount of minutes it takes to produce the 312 bolts.
312/9.75
=
32.
This is our answer.
Another way of doing thisis to divide the 20 minutes by 195, this will give you how long it takes to produce a single bolt.
20/195
=
0.1025
Now, just multpliy it by 312, and you get how long it takes to produce 312 bolts.
0.1025*312
=
32
And again, you get the answer.
Hope this helps! ;)
Answer:
32 I guess
Step-by-step explanation:
write an email about a game you played recently
football waz good and ther was funi monke that go "haha funi monke go stinky poopoo hahahahahhaha".
Yuhh I need help pleasee
Answer: [tex]-15,\ 3[/tex]
Step-by-step explanation:
Given
The table is given for values of x
From the table, If [tex]x=0[/tex] it corresponds to -15 i.e.
When we replace x by 0 in [tex]f(x)[/tex], we obtain [tex]f(0)=-15[/tex]
Similarly, for [tex]f(x)=27[/tex] corresponds to [tex]x=3[/tex]
Drag each situation to show whether it can be modeled using a linear or an exponential function. If the situation cannot be modeled with either function type, drag it into the container labeled Neither.
Answer: the savings account one is linear, the enrollment of students is linear, the investment is exponential as well as the cars value, the speed of the truck is neither (not fully sure) and the temperature outside is linear
Step-by-step explanation: linear means in a straight line without curves meaning if the question mentions percentages it’s automatically not linear as percentages tend to curve. Exponential means it curves which has direct connections to percentages and getting multiplied by
Hope this helps you
solve: 7-z what is the answer to this question.................... . . . .. . . . .. .
Answer:
7 - z = 0
- z + 7 = 0
- z = - 7
z = 7
Thus, The answer is 7
-TheUnknownScientist
Rita buys 8 bottles of water. Each bottle contains 1.8 L of water.
Rita says she bought a total of 14.4 L of water.
Use estimation to show that her answer is reasonable.
Drag the numbers into the boxes to complete the number sentence.
_____x______= L
1 2 8 15 16 20 120 160
Answer:
Equation: 2 x 8 = 16
Step-by-step explanation:
1.8 ≈ 2
8 ≈ 8
2 x 8 = L
L = 16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Lin runs 5 laps around a track in 6 minutes
how many minutes per lap is that? _ minutes
if Lynn runs 21 laps at the same rate, how long does it take her? _ minutes
how many laps per minute is that _laps
I do not understand this assignment at all..I've been stuck on it for a long time and it's due very soon.
could someone please solve or explain these ,, u don't have to do both of them | I just need an explanation so I can solve the other 7
[tex]\text{State Income Tax Rate: }6.65\%, \\\text{Deduction: }\$7,702.03[/tex]
Answer:
State income tax: [tex]6.65\%[/tex]
Step-by-step explanation:
Based on the interface, it seems like you have chosen lawyer as a career with the given salary of $115,820.
The chart given for state income tax is broken into two categories:
$21,400-$80,650 => 6.45%
$80,651-$215,400 => 6.65%
Since the chosen career's salary is $115,820, the career falls into the second range of 6.65% state income tax.
The deduction is simply the amount of money taxed. For a 6.65% state income tax, the deduction can be found from:
[tex]115,820\cdot 0.0665=\boxed{\$7,702.03}[/tex]