Answer:
1. 19
2. 7
3. 9
4. 8
5. 9
+ please mark brainlest?!
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
Consider the first five steps of the derivation of the Quadratic Formula.
What is the next step?
(See the photo)
Answer:
B
Step-by-step explanation:
some people can't understand lafossefams joke
The method of completing the squares method will be used for the next step. The next step would be ( x+ (b/2a) )^2 = -c/a + b^2/(4a^2)
What is the expansion of square of sum of two terms?Suppose that two terms are 'a' and 'b'.
Then, their sum's square is expanded as:
[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
For this case, we're given the quadratic equation with its 4 steps of solution as:
[tex]ax^2 + bx + c = 0\\\\\dfrac{ax^2}{a} + \dfrac{bx}{a} + \dfrac{c}{a} = 0\\\\x^2 + \dfrac{bx}{a} + \dfrac{c}{a} = 0\\\\x^2 + \dfrac{bx}{a} = -\dfrac{c}{a}\\\\x^2 + \dfrac{bx}{a} + \dfrac{b^2}{4a^2} = -\dfrac{c}{a} + \dfrac{b^2}{4a^2}[/tex]
We've to proceed to the next step.
In the left hand side, we can use the formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex], where [tex]\rm a \: is \: x^2, and \: b \: is \: \dfrac{b}{2a}[/tex]
Thus, we have:
[tex]x^2 + \dfrac{bx}{a} + \dfrac{b^2}{4a^2} = x^2 + 2 \times x \times \dfrac{b}{2a} + \left(\dfrac{b}{2a} \right)^2 = \left( x + \dfrac{b}{2a} \right)^2[/tex]
We expressed the left sided expression in this form so that the variable 'x' (which is assuminly the only variable in the equation, whose value is to be known) gets packed into single container and not spread throughout with different powers.
Now, we can use square root and then subtraction and division of some terms which will make 'x' stay on one side of the equation, and rest of the constants on other side, as the value of 'x' for which the considered equation [tex]ax^2 + bx + c = 0[/tex] is correct.
The next step of the solution, therefore, is:
[tex]\left( x + \dfrac{b}{2a} \right)^2 = \dfrac{-c}{a} + \dfrac{b^2}{4a^2}[/tex]
Learn more about completing the squares method here:
https://brainly.com/question/16800259
#SPJ2
How many have more than one quart of water?
Answer:
I think 3 have more, but I am not 100 percent
Heidi is making a tower using sugar cubes. Each sugar cube has a side length of 1 cm. Each layer has 4 sugar cubes, arranged in a 2 by 2 pattern. The completed tower has a volume of 24 cm3. How many layers of sugar cubes are in the tower?
Answer:
3 layers
Step-by-step explanation:
Given
[tex]L = 1cm[/tex] --- side length of the cube
Each layer = 2 * 2 cube
[tex]Volume = 24cm^3[/tex]
Required
Determine the number of layers
First, we calculate the volume of each layer:
The length of the layer is:
[tex]Length = 2 * L[/tex]
[tex]Length = 2 * 1cm[/tex]
[tex]Length = 2cm[/tex]
Next, we calculate the volume of each layer:
[tex]Volume = Length^3[/tex]
[tex]Volume = (2cm)^3[/tex]
[tex]Volume = 8cm^3[/tex]
The number of layer is calculated by dividing the volume of the tower by the volume of each layer
[tex]Layers = \frac{24cm^3}{8cm^3}[/tex]
[tex]Layers = 3[/tex]
Charlie works in a beauty salon. He has three appointments today. The time needed for each appointment is • Mrs Green (11 2 hours) • Ms Price (1 hour 20 minutes) • Sam (3 1 4 hours). He will have a 45 minute break. Charlie will start work at 9:15 am He wants to finish work by 4:30pm Will Charlie finish work by 4:30 pm?
Answer:
no
Step-by-step explanation:
2.5z=10 write and solve equations
Answer:
z = 4
Step-by-step explanation:
2.5x = 10
divide by 2.5
z = 4
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Vocabulary How are complementary angles and supplementary angles alike? How are they different? Use the drop-down menus to explain your answer.
Choose...(Both types of angles, Complementary angles, supplementary angles)
are pairs of angles whose measures have specific sums.
Choose...(Both types of angles, Complementary angles, supplementary angles)
have a sum of 90°.
Choose...(Both types of angles, Complementary angles, supplementary angles))
have a sum of 180°.
Answer:
Both types of angles, complementary angles, supplementary angles.
Step-by-step explanation:
Hope this helps
Both types of angles, Complementary angles, supplementary angles are pairs of angles whose measures have specific sums. Therefore, option A is the correct answer.
What are complementary angles?Two angles are said to be complementary angles if they add up to 90 degrees. In other words, when complementary angles are put together, they form a right angle (90 degrees).
Supplementary angles refer to the pair of angles that always sum up to 180°. These two angles are called supplements of each other.
Therefore, option A is the correct answer.
To learn more about the complementary angles visit:
https://brainly.com/question/5708372.
#SPJ3
What is the length of the curve with parametric equations x = t - cos(t), y = 1 - sin(t) from t = 0 to t = π? (5 points)
A) 8
B) 4 times the square root of 2
C) 4
D) 8 times the square root of 2
Answer:
B) 4√2
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Parametric Differentiation
Integration
IntegralsDefinite IntegralsIntegration Constant CArc Length Formula [Parametric]: [tex]\displaystyle AL = \int\limits^b_a {\sqrt{[x'(t)]^2 + [y(t)]^2}} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \left \{ {{x = t - cos(t)} \atop {y = 1 - sin(t)}} \right.[/tex]
Interval [0, π]
Step 2: Find Arc Length
[Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]: [tex]\displaystyle \left \{ {{x' = 1 + sin(t)} \atop {y' = -cos(t)}} \right.[/tex]Substitute in variables [Arc Length Formula - Parametric]: [tex]\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{[1 + sin(t)]^2 + [-cos(t)]^2}} \, dx[/tex][Integrand] Simplify: [tex]\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx[/tex][Integral] Evaluate: [tex]\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx = 4\sqrt{2}[/tex]Topic: AP Calculus BC (Calculus I + II)
Unit: Parametric Integration
Book: College Calculus 10e
Can someone help me plz
Answer:
easy
x=4 y=7 or
x=4 y=-1
Step-by-step explanation:
x=4 y=7 or
x=4 y=-1
"A candy store sells different types of candy in paper pyramids. The medium-sized pyramid has a base length of 5 inches and a base width of 3 inches. The height of the paper container is 8 1/2 inches. what is the volume of the pyramid, measured to the nearest 10th of the cubic inch?" Please help!
Answer:
088y765
Step-by-step explanation:
The length of jade's garden is 4w
Answer:
and? What about Jade's garden?
Step-by-step explanation:
Answer:
There is no problem to go with this statement, please use full questions.
Step-by-step explanation:
Ms. Stephanie bought a package of pens. Out of every 10 pens, 1 are black. If there are 30 pens in
the pack, what fraction of the pens in the pack are black? What percent of the pens in the pack are
black?
What fraction of the pens in the pack is black?
Answer:
1/10. 10% Since there are 30 pens, there are 3 black ones.
Answer:
The fraction of the black pens in the pack is [tex]\frac{3}{30}[/tex]
The percent of the black pens in the pack is 10%
Step-by-step explanation:
If 1/10 pens are black, we can use this same proportion to find how many black pens will be in the pack of 30.
Using this, there will be 3/30 pens that will be black, since 3/30 is equivalent to 1/10 when reduced.
So, the fraction of the black pens in the pack is [tex]\frac{3}{30}[/tex]
To find the percent, divide 3 by 30:
3/30
= 0.1 (10 percent)
So, the percent of the black pens in the pack is 10%
Write in slope-intercept form an equation of the line that passes through the point (r,p) with slope q.
The equation is y =
Answer:
y=q(x-r)+p
Step-by-step explanation:
y-y1=m(x-x1)
y-p=q(x-r)
y=qx-qr+p
y=q(x-r)+p
true or false statement?
-16 > -f , if f = 15
Erin loves to play sports! She has earned 3 tennis trophies, 4 basketball trophies, 7 soccer trophies, and 1 volleyball trophy.
Answer: R = 3/7
Step-by-step explanation:
The complete question is:
Erin loves to play sports! She has earned 3 tennis trophies, 4 basketball trophies, 7 soccer trophies, and 1 volleyball trophy.
What is the ratio of Erin's tennis trophies to soccer trophies?
This is simply the quotient between the number of tennis trophies and the number of soccer trophies.
She has 3 tennis trophies and 7 soccer trophies, then the ratio is:
R = 3/7
Which of the statements below are true? Select all that apply.
A) Angle 6 = Angle 7 = Angle 8
B) Angle y = 120 degrees
C) Angle x = 60 degrees
solve and get brainliest!!
Answer:
$477
Step-by-step explanation:
Net Price:$ 450.00
+ Sales Tax (6%):$ 27.00
Total Price:$ 477.00
Answer:
642 right??
Step-by-step explanation:
Was this the answer you were looking for?
what does 5/8 plus 3/4 equal
Answer:
1 3/8
Step-by-step explanation:
The ratio of the number of boys to the number of girls in a certain class is 8:5. if the number of boys in that class is 52 students . find the number of girls?
NO ONE CAN ANSWER THIS HIGH POINT YOU WILL GET
Answer:
26 approx answer
Step-by-step explanation:
thanks give me high points
Step-by-step explanation:
the answer 26 approx answer.
The perimeter of a square is 120 inches what is its area
Answer:
A = 900in²
Perimeter 120in
Using the formulas
A = a²
P = 4a
Step-by-step explanation:
Solving for A:
A = 1/16 P² = 1/16 · 120² = 900in²
Answer:
900in^2
Step-by-step explanation:
120 divided by 4 because there are 4 sides
120÷4=30
Area= 30x30
= 900in^2
HELP what is the coefficient of 14x?
multiplication
14
14x
x
Coefficient of 14x is 14
Coefficientis the number in front of the letter. For example, coeffient of 2b is 2. When there is no number in front of the letter the coefficient is 1.
"The Martin family's truck gets an average of 25 miles per gallon of fuel. Predict how many miles they will be able to get from 7 gallons of fuel by using equivalent rates." (Explain with fractions/ equivalent rate in detail pls)
Answer:
175 miles
Step-by-step explanation:
Average of 25 miles per gallon of fuel
Miles : gallons = 25 : 1
Predict how many miles they will be able to get from 7 gallons of fuel by using equivalent rates
Let x = number miles
Miles : gallons = x : 7
To find x
25 : 1 = x : 7
25/1 = x/7
Cross product
25*7 = 1*x
175 = x
x = 175 miles
Number miles = 175
6.
Find the slope of the line.
A. [tex]-\frac{2}{3}[/tex]
B. [tex]\frac{2}{3}[/tex]
C. [tex]\frac{3}{2}[/tex]
D. [tex]-\frac{3}{2}[/tex]
PLEASE HELP! Yes or no answer on the graph
Answer:
They are all yes
Step-by-step explanation:
They are all linear
Answer:
the one with a blue line and dots
Step-by-step explanation:
Mike traveled to Greensboro by car. Going there took 6 hours, and the return trip was four hours. Mike averaged a speed of 81 miles while returning. Find the average of the trip there.
Answer: 64.8 mph
Step-by-step explanation:
Given
Arriving time is 6 hours
return time is 4 hours
The average speed of returning 81 mph
Distance traveled while returning
[tex]\Rightarrow d=81\times 4=324\ miles[/tex]
the average speed of the entire trip is
[tex]\Rightarrow v_{avg}=\dfrac{2\times 324}{6+4}=\dfrac{648}{10}=64.8\ mph[/tex]
Help I don’t know the answer
Please Help ASAP!!! 24-28 Thanks!
Answer:
C - A -B - C -A
Step-by-step explanation:
I'm in need of assistance-
Answer:
q
Step-by-step explanation:
y = mx + b -2 = 3(4) + b -2 = 12 + b -14 = b; the y-intercept is -14 What is wrong with this answer?
Answer:
There is nothing wrong with the answer obtained
Step-by-step explanation:
Given the equation :
Y = mx + b
-2 = 3(4) + b
-2 = 12 + b
-14 = b
The correct calculation :
Y = mx + b
-2 = 3(4) + b
-2 = 12 + b
Subtract 12 from both sides
-2 - 12 = 12 + b - 12
-14 = b
Based on the details of the question given, the intercept, b is - 14 ;
Hence, there is nothing wrong with the answer
PLEASE HELP ME !!! :(
Estimate 2395 dividied by 82 = ?
show your work step -by-step
Answer:
13
Step-by-step explanation:
82 * 10 = 820
820 * 3 = 2,460
Ms. Bobb needs to order more notebooks. Office Max charges $42 for 12 notebooks. Staples charges $60 for 15 notebooks. Which store has a better deal? Explain.
Answer:
Office Max
Step-by-step explanation:
Office Max charges $3.50 for each notebook. Staples charges $4 for each notebook. You can achieve this answer by dividing cost by the number of notebooks.