Answer:
They need to make at least 12 batches.
Step-by-step explanation:
First, we need to find how many cookies in total, so we multiply 70 by 4.
70*4 = 280.
Secondly, 1 batch makes 2 dozen cookies, or technically 24 cookies. So we need to find how many batched with 280 divided by 24. This results in 11.6 repeating. But if you round it up, you get 12.
Time to check:
12 * 24 = 288. So it's the amount of cookies needed with 8 remaining.
Hope this helps.
Charlotte the turtle was born with 4 squares on her shell,
as in the first picture below. When she was 1 year old, 12
new squares appeared around the old squares, as in the
second picture below. Each year, a new group of squares
appeared around the old squares.
Answer:
Step-by-step explanation:
Find an equation of the circle that has center (-2, 6) and passes through (-6, 1).
Answer:
(x+2)^2 + (y-6)^2 = 41
Step-by-step explanation:
The equation for a circle is (x-h)^2+(y-k)^2=r^2
So first, it is known that the circle's center is at (-2,6), Therefore, this can be filled in:
(x+2)^2+(y-6)^2=r^2
Next, we need to find the radius, and one of the points is already known, being (-6, 1)
With this, find the distance between these two points by doing the Pythagorean Theorem, a^2+b^2=c^2. The a^2 would be the x value changed and the b^2 would be the y value changed between the two numbers. Note that this is interchangeable.
To find a:
-2 to -6 = change of 4
To find b:
6 to 1 = change of 5
Next, write out the equation for this:
4^2+5^2=c^2
16+25=c^2
41=c^2
c = √41
The radius would be √41, so the equation can now be completed. Since c will be brought to the second power, this will cancel out the square root.
(x+2)^2 + (y-6)^2 = 41
Hope that helps.
Solve for y:
y - (-10) = -41
Answer:
y = -51
Step-by-step explanation:
Apply the - (-a) = a rule.
y + 10 = -41
Subtract 10 from both sides
y + 10 = -41
-10 -10
y = -51
A rep hockey team has two goalies. Goalie A has a save percentage of 0.92 and Goalie B has a save percentage of 0.89. If goalie A plays 75 percent of the games and goalie B plays 25 percent of the games then: a) Determine the probability that a save has been made by either goalie A or goalie B. b) If a save has been made, what is the probability that is was goalie A? c) If a goal was let in, what is the probability it was goalie B?
Answer:
a) 0.9125
b) 0.756
c) 0.314
Step-by-step explanation:
The save percentage of Goalie A = 0.92
The save percentage of Goalie B = 0.89
The percentage of the games Goalie A plays = 75 percent
The percentage of the games Goalie B plays = 25 percent
a) The probability that a save has been made by either Goalie A or Goalie B
Therefore we get;
The probability that Goalie A made a save, P(A) = 0.92 × 0.75 = 0.69
The probability that Goalie B made a save, P(B) = 0.89 × 0.25 = 0.2225
For mutually exclusive events, we have;
P(A) or P(B) = P(A) + P(B)
∴ P(A) or P(B) = 0.69 + 0.2225 = 0.9125
The probability that a save has been made by either Goalie A or Goalie B, P(A) or P(B) = 0.9125
b) Where there are 10,000 attempts, made evenly in all games, we have;
The number of attempts made with Goalie A playing = 10,000 × 0.75 = 7,500
The number of saves Goalie A makes = 0.92 × 7,500 = 6,900
The number of saves for 10,000 attempt = (P(A) or P(B)) × 10,000 = 0.9125 × 10,000
The number of saves for 10,000 attempt = 9,125
∴ The probability that Goalie A saves = 6,900/9,125 ≈ 0.756
c) Out of the 2,500 attempts at Goalie B, the number of goals let in is given as follows;
P(Goal B) = 2,500 - 2,500 × 0.89 = 275
The number of goals let in by Goalie A, we have;
P(Goal A) = 7,500 - 7,500 × 0.92 = 600
Therefore, the total number of goals let in = 300 + 275 = 875
The probability that the goals was let in by Goalie B = 275/875 = 11/35 ≈ 0.314.
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
#3 is 74 and adjacent #4 is 29 and adjacent #5 is 48 and vertical
Step-by-step explanation:
just trust me i had the same questions
Find the circumference of each of the circles described below.
a. Radius of 3 inches
b. Diameter of 27 cm
Answer:
a) 18.85 or 19
b) 84.82 or 85
PLEASE HELP...FAST :)!!
You are playing a game similar to shuffleboard, where you need to slide a puck into the light gray area of the board in order to score points. The board is surrounded by wood boards that keep the puck in the playing surface. An image of the board and its dimensions are shown below.
What is the probability that you slide the puck into the light gray area? Your answer may be written as a fraction or a decimal
The probability is ________________
The probability that one can slide the puck into the light gray area will be 0.72.
How to calculate the probability?From the information given, the board is surrounded by wood boards that keep the puck in the playing surface.
In this case, the probability that you slide the puck into the light gray area will be:
= 4feet/(4 feet + 1.5 feet)
= 4/5.5
= 0.72
Learn more about probability on:
https://brainly.com/question/24756209
#SPJ2
y = kx
In the equation, what does "k" represent?
Answer: it’s the number that stays the same
Step-by-step explanation: ex. y = 24(6x)
The shaded cells represent ________.
Question 9 Please Help
Answer:
Step-by-step explanation:
The third option is correct
hey! please help i’ll give brainliest
Answer:
True
Step-by-step explanation:
Adding -ed to a verb will make it a simple past tense verb
Hope this helps :)
Answer:
True
Step-by-step explanation:
it is past tense
Rewrite in simplest terms:
10 (7g - 9h) -4h - 8 (-8 +8g)
Answer:
=6g + −94h + 64
Step-by-step explanation:
Let's simplify step-by-step.
10(7g−9h)−4h−8(−8+8g)
Distribute:
=(10)(7g)+(10)(−9h)+−4h+(−8)(−8)+(−8)(8g)
=70g+−90h+−4h+64+−64g
Combine Like Terms:
=70g+−90h+−4h+64+−64g
=(70g+−64g)+(−90h+−4h)+(64)
=6g + −94h + 64
Answer:
your answer is 6g-94h+64
Step-by-step explanation:
1. 10 (7g - 9h) -4h - 8 (-8 +8g)
2. 70g-90h-4h+64-64g
3. 6g-94h+64
need help on question 26
Answer:
y = 2x - 3.
Step-by-step explanation:
26, The slope is 2 and y-intercept is -3
¿Cuál es el volumen en pulgadas cúbicas de una esfera cuya circunferencia mide 64 pulgadas?
Answer:
4445.18 pulgadas cúbicas
Step-by-step explanation:
Paso 1
La fórmula para la circunferencia de una esfera = 2πr
Circunferencia de una esfera = 64 pulgadas
Por eso,
64 = 2πr
Por lo tanto, encontramos r
Dividir ambos lados por 2π
64 / 2π = 2πr / 2π
r = 10.185916358 pulgadas
Radio r = 10.2 pulgadas
Paso 2
Volumen de una esfera
= 4/3 × π × r³
r = 10.2 pulgadas
Por lo tanto, 4/3 × π × (10.2) ³
= 4445.18 pulgadas cúbicas
Por lo tanto, el volumen en pulgadas cúbicas de una esfera = 4445.18 pulgadas cúbicas
Look at the parallelogram pictured in Figure 1. What is the area of the
parallelogram?
Answer:
45m²
Step-by-step explanation:
=> Area = base × height
=> A = 5m × 9m
=> A = 45m²
Find the missing exponent: p^2 ∙ p^3 ∙p^? = p^9
Answer:
34
Step-by-step explanation:
Mr. Jones surveyed his class to find out how many students feel that Math is their favorite subject. Based on these results, how many students would say that Math is their favorite subject if he asked all 150 students in the 6th grade class.
Answer:
im not sure
Step-by-step explanation:
I remember doing this but i forget
the question is in the image.(no links)
Answer:
I don't know but I think the answer is 3
Norma makes bags.
She makes 17 bags an hour.
Norma works for 6 hours each day, 5 days a week.
Each bag is checked.
If the bag is perfect, it is put in a box.
When there are 12 bags in a box it is full.
One week 90% of the bags Norma made were perfect.
Work out the number of boxes completely filled with bags made by Norma.
Answer:
38
Step-by-step explanation:
She makes 17 bags an hour. Multiply 17 bags by each hour. Additionally, multiply that by 5 for each day worked. The total number is 510.
Out of 510 bags made in that week, only 90% are perfect. 90% of 510 is 459.
If there are 459 bags, and each box can hold 12, how many boxes will be full? Keep adding bags into boxes until you reach 0 bags. The equation you'll want is 459/12.
38 boxes will be full, with 3 remainder bags.
When using the quadratic formula to solve 7x2 – 3x + 2 = 0, which number will be squared as part of the formula?
Answer:
The value of b will be squared
Step-by-step explanation:
Recall that the quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex]
You will see that the only squared coefficient is b.
Trish had a square garden with side lengths of 8 feet. She expanded her garden to 10 feet by 8 feet. By how many square feet did she expand the area of her garden?
Answer:
[tex]16\:\mathrm{ft^2}[/tex]
Step-by-step explanation:
Trish's initial garden had an area of [tex]8\cdot8=64\:\mathrm{ft^2}[/tex]. After expanding her garden to be 10 feet by 8 feet, the garden has an area of [tex]8\cdot 10=80 \:\mathrm{ft^2}[/tex]. Therefore, the garden was expanded by [tex]80-64=\boxed{16\:\mathrm{ft^2}}[/tex]
help me with this math question please I'm giving away brainliests
Answer:
orangeeeeeee
Step-by-step explanation:
Whats 1/7 + 3/4 ?
Please help me?
Answer:
25/28
Step-by-step explanation:
28 is the greatest common factor, found by multiplying 7 by 4 (the denominators)
1/7 = 4/28
3/4 = 21/28
21/28 + 4/28 = 25/28
An Brainly Question:
Whats 1/7 + 3/4 ?
Answer:
25/28
Step-by-step explanation:
Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.
So, we multiply 1 by 4, and get 4, then we multiply 7 by 4 and get 28.
Let's add
1
7
+
3
4
Step 1
Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.
So, we multiply 1 by 4, and get 4, then we multiply 7 by 4 and get 28.
1/7 times 4
Now for the second term. You multiply 3 by 7, and get 21, then multiply 7 by 4 and get 28.
3/4 times 7
We now have a new problem, that looks like this:
4
28
+
21
28
Step 2
Since our denominators match, we can add the numerators.
4 + 21 = 25
That gives us the sum, which is
25
28
Step 3
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
Nope! So now we try the next greatest prime number, 13...
Nope! So now we try the next greatest prime number, 17...
Nope! So now we try the next greatest prime number, 19...
Nope! So now we try the next greatest prime number, 23...
Nope! So now we try the next greatest prime number, 29...
No good. 29 is larger than 25. So we're done reducing.
There you have it! Here's the final answer to 1/7 + 3/4
1
7
+
3
4
=
25
28
You ARE SUPPOSED TO BE IN BRAINLY.IN FOR 5th Grade and LESSdoes it represent the range, mode, median, or mean
Answer:
median
Step-by-step explanation:
in a box plot, it does not represent the mean, just so you know.
mode = largest number.
range = difference between largest number and smallest number
WILL GIVE THANKS, BRAINIEST, AND 5 STARS! PLEASE HELP!
Answer:
30
Step-by-step explanation:
C(n) = 5n, 0 ≤ n ≤10 You would use this formula because 6 is greater than 0 but less than 10.
C(n) = 5n, 0 ≤ n ≤10 ← You can just ignore the 0≤ n ≤10 part.
C(6) = 5(6) Input the value 6 as x.
C(6) = 30
The answer is that 6 shirts costs 30 dollars.
Which statement describes graph
Answer:
Step-by-step explanation:
There are no statements here
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Side lengths- LK = 1.56 JK = 2.88
Step-by-step explanation:
Use tan for LK. Tan 26 = x/3.2, x = 1.56 to the nearest hundredth. Use cosine for JK. Cos 26 = x/3.2, x = 2.88 to the nearest hundredth.
Help on Math please and thank you
Answer:
the value of x to the nearest tenth is 12 * x
Meliah wants to make a gallon of punch. She uses 2 quarts of orange juice, 1 cup of lemon juice, and 2 1/2 pints of pineapple juice. How many cups of water should she add to make 1 gallon?
Answer:
2 cups of water
Step-by-step explanation:
Meliah wants to make a gallon of punch.
Note that
1 gallons = 16 cups
For Orange juice
She uses 2 quarts of orange juice,
1 quart = 4 cups
2 quarts = x
Cross Mulitiply
2 × 4 cups = 8 cups
For lemon juice
1 cup of lemon juice
For pineapple juice
2 1/2 pints of pineapple juice.
1 pint = 2 cups
2 1/2 pints = x
Cross Mulitiply
2 1/2 × 2 cups = 5 cups
Total number of cups
= 8 cups orange juice + 1 cup lemon juice + 5 cups of pineapple juice
= 14 cups
Hence, the number of cups of water she should add to make 1 gallon is calculated as:
16 cups - 14 cups
= 2 cups of water
What is 5x-3 equal to
Answer:
-15
Step-by-step explanation:
Answer:
-15 hdbdudbdjsbakznzbzjzbzbz
Find
[tex] \frac{dy}{dx} [/tex]
if
[tex]y = (x + \sqrt{x} )^{2} [/tex]
Answer:
[tex]\displaystyle y' = 2x + 3\sqrt{x} + 1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsAnything 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
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 = (x + \sqrt{x})^2[/tex]
Step 2: Differentiate
Chain Rule: [tex]\displaystyle y' = 2(x + \sqrt{x})^{2 - 1} \cdot \frac{d}{dx}[x + \sqrt{x}][/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}})^{2 - 1} \cdot \frac{d}{dx}[x + x^{\frac{1}{2}}][/tex]Simplify: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot \frac{d}{dx}[x + x^{\frac{1}{2}}][/tex]Basic Power Rule: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 \cdot x^{1 - 1} + \frac{1}{2}x^{\frac{1}{2} - 1})[/tex]Simplify: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 + \frac{1}{2}x^{-\frac{1}{2}})[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 + \frac{1}{2x^{\frac{1}{2}}})[/tex]Multiply: [tex]\displaystyle y' = 2[(x + x^{\frac{1}{2}}) + \frac{x + x^{\frac{1}{2}}}{2x^{\frac{1}{2}}}][/tex][Brackets] Add: [tex]\displaystyle y' = 2(\frac{2x + 3x^{\frac{1}{2}} + 1}{2})[/tex]Multiply: [tex]\displaystyle y' = 2x + 3x^{\frac{1}{2}} + 1[/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = 2x + 3\sqrt{x} + 1[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e