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The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ −3[−15 − 2(−9)]²
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.
⇒ −3[−15 − 2(−9)]²
⇒ −3[−15 + 18]²
⇒ −3[3]²
⇒ −3 × 9
⇒ −27
The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.
More about the value of the expression link is given below.
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Using the formula below, find F, when f = 1000 and r = 8
Give your answer as a decimal number.
Answer: 15.625
Step-by-step explanation:
F = 1000/(8^2) = 1000/64 = 15.625
Answer:
F = 15.625
Step-by-step explanation:
This question may look quite tricky because of the square number, and fraction, but it is actually quite simple when you break it down.
To calculate this question we need to substitute the number 1000 (because we are told this is f) into where f is in our equation. Our new equation is F=1000/r^2.
Next, we need to substitute the number 8 (because we are told this is r) into where r is in our equation. Our new equation is F=1000/8^2.
At this stage, it is just a matter of putting this information directly into a calculator to find F. The answer we get is 125/8, and to get this is into decimal form, we just divide 8 by 125, and the answer is 15.625. This is our final answer.
I have attached a photograph of this calculation written down.
The students in Ms. Hill’s class are reading a 325-page book. There are about 90,000 words in the book.
Ms. Hill said the students should try for a reading rate of 200 words per minute for greatest comprehension.
Molly read 65 pages of the book in 80 minutes. What's Molly's reading rate?
Answer:
225
Step-by-step explanation:
(90000÷325)×65=18000
18000÷80=225
reading rate of 225 words per minutes
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
x^2/3 + y^2/3 = 4
(-3√3, 1)
(astroid)
Differentiate both sides of
[tex]x^{2/3} + y^{2/3} = 4[/tex]
implicite with respect to x :
[tex]\dfrac23 x^{-1/3} + \dfrac23 y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]
Solve for the derivative dy/dx :
[tex]x^{-1/3} + y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = - x^{-1/3} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{x^{-1/3}}{y^{-1/3}} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\left(\dfrac yx\right)^{1/3}[/tex]
Get the slope at the given point (-3√3, 1) :
[tex]\dfrac{\mathrm dy}{\mathrm dx}(-3\sqrt3,1) = -\left(\dfrac{1}{-3\sqrt3}\right)^{1/3} = \dfrac1{(3\sqrt3)^{1/3}} = \dfrac1{\sqrt3}[/tex]
Then the equation of the tangent line to the curve through (-3√3, 1) is
[tex]y - 1 = \dfrac1{\sqrt3}(x+3\sqrt3) \\\\ \boxed{y = \dfrac1{\sqrt3}x + 4}[/tex]
Monica uses 3 tablespoons of milk in her custard recipe. The ratio of tablespoons to fluid ounces is 2 : 1. How many fluid ounces of milk does Monica use?
(A) 0.5 fluid oz.
(B) 1 fluid oz.
(C) 1.5 fluid oz.
(D) 3 fluid oz.
(Also no fractions included and please help meh know please)
Answer:
b b b b b b b b b b b b b b b b b b b b b b
Solve the equation:
3x + 2 = 6x - 7
Answer:
x=3
Step-by-step explanation:
1) Subtract 3x from both sides
2 = 6x - 7 - 3x
2) Simplify 6x - 7 - 3x to 3x - 7
2 = 3x - 7
3) Add 7 to both sides
2 + 7 = 3x
4) Simplify 2 + 7 to 9
9 = 3x
5) Divide both sides by 3
9/3 = x
6) Simplify 9/3 to 3
3 = x
7) Switch sides
x=3
Write a three digit number that gives same answer when rounded to the nearest ten and to the nearest hundred .explain
Answer:
Numbers can be rounded to the nearest ten, the nearest hundred, the nearest thousand, the nearest million, and so on. All the numbers to the right of the place you are rounding to become zeros. Rounded numbers are easier to remember and easier to use.
Use the sequence of operations to answer the question.
1. add 3 to b
2. subtract the result inom 8
3. triple the answer
Answer:
(8-(3+b))3
Step-by-step explanation:
first of all, we have to variables, 3 and b that we are told to add
that is, 3+b
we are now told to subtract the answer from 8
that is 8 minis the answer
= 8- (3+b)
lastly we triple the answer to give
(8-(3+b)3
or
3(8-(3+b)
please help?!’ answerr
Answer:
The choice Draw 2
Step-by-step explanation:
[tex]3(8 - 4x) < 6(x - 5) \\ 24 - 12x < 6x - 30 \\ 24- 12x + 12x < 6x + 12x - 30 \\ 24 < 18x - 30 \\ 24 + 30 < 18x - 30 + 30 \\ 54 < 18x \\ 54 \div 18 < 18x \div 18 \\ 3 < x \\ x > 3[/tex]
I hope I helped you^_^
2. Arcadia charges players a $15 admission fee to their gaming centre and $5 per game.
b) What is the rate of change for the relation between total cost and number of games and what is its
meaning in this relation?
c) What is the initial value for this relation and what is its meaning?
Answer:
1) The relationship is times 3
2) it is 5x3 so this the teh relation
Step-by-step explanation:
I got 100% in the question and qiz
You roll two fair dice. If they land with a sum of 7, you get a $10. If they land with a sum of 6 or 8, you get $5. Everything else earns $0. Which of the following would be the highest value you could set the price and the player would still win?
$8
$5
$2
$10
Using the expected value, it is found that the highest value you could set the price is: $5.
-----------------------------
A game is fair, that is, the player would still win, if the expected value is 0.The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.For two fair dice, there are 36 total outcomes, as [tex]6^2 = 36[/tex].
The charge is x.
6 outcomes result in a sum of 7, which are (1,6), (2,5), (3,4), (4,3), (5,2) and (6,1), thus, [tex]\frac{6}{36}[/tex] probability of getting 10.
10 outcomes result in a sum of 6 or 8, which are (1,5), (2,4), (2,6), (3,3), (3,5), (4,2), (4,4), (5,1), (5,3) and (6,2), thus, [tex]\frac{8}{36}[/tex] probability of getting x.
36 - 14 = 22, thus [tex]\frac{22}{36}[/tex] probability of losing x.
Since we want the expected value to be 0:
[tex]\frac{6}{36}(10) + \frac{8}{36}(5) - \frac{22}{36}x = 0[/tex]
[tex]\frac{60 + 50 - 22x}{36} = 0[/tex]
[tex]22x = 110[/tex]
[tex]x = \frac{110}{22}[/tex]
[tex]x = 5[/tex]
The highest value you could set the price is: $5.
A similar problem is given at https://brainly.com/question/24905256
IF YOU ANSWER CORRECTLY ILL GIVE BRAINLIEST!!
What number makes the following equation true? -3/4 × -3/8 × □= -3/4
A. -5/4
B. -8/3
C. 8/3
D. 5/4
Let the number be x
[tex]\\ \sf\longmapsto \dfrac{-3}{4}\times\dfrac{-3}{8}x=\dfrac{-3}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-3}{8}x=1[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-8}{3}[/tex]
Find three consecutive multiples of 6 with a sum that is four times the least of the numbers.
Answer:
18 , 24, 30
Step-by-step explanation:
6x + (6x+6) + (6x+6+6) = 4*6x
18x + 18 = 24x
6x = 18
x = 3
3 multiples of 6: 18 , 24, 30
check: 18+24+30=72
4*18 = 72
HELP PLEASE ITS MATH
Answer:
32 trips.
Step-by-step explanation:
It's a proportion question.
7/84 = x/384
84x = 7*384
84x = 2688
Divide both sides by 84 to isolate x.
x = 2688/84
x = 32
So, Sarah will have to make 32 trips to cycle a total of 384 kilometers.
(I apologize if the answer is wrong!)
A volunteer at the zoo is responsible for feeding the animals in 15 exhibits in the reptile house. This represents 20% of the total exhibits in the reptile house. How many exhibits are in the reptile house.
The 75 exhibits are in the reptile house.
we have given that,
A volunteer at the zoo is responsible for feeding the animals in 15 exhibits in the reptile house.
We have to determine how many exhibits are in the reptile house.
Therefore we have
if 15 exhibits = 20% of total exhibits,
What is the percentage?
A percentage is a number or ratio expressed as a fraction of 100.
then 15/20% = 75 total exhibits in the reptile house
We can check the answer,
75 x 20% = 15
Therefore the 75 exhibits are in the reptile house.
To learn more about the percentage of visits:
https://brainly.com/question/24304697
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I NEED HELP WITH THIS MATH PROBLEM!!!!!
WHICH EXPRESSION IS EQUIVALENT TO -8M-8+3M-6?
-11m-2 -5m-2
-5m-14 or -16m-3
Answer:
-5m-14
Step-by-step explanation:
-8M-8+3M-6
Add -8m and 3m, -8 + 3m = -5m
Next add negative 8 and 6, -6 + -8 = -14
Lastly, put it together, -5m -14.
Hope that helps!
help me!
Read the excerpt from A Girl Named Zippy.
Not long ago my sister Melinda shocked me by saying she had always assumed that the book on Mooreland had yet to be written because no one sane would be interested in reading it.
Why is the author shocked by what Melinda says?
A.She thought her sister believed Mooreland was exciting.
B.She had heard that her sister wanted to write a memoir.
C.She did not understand what Melinda meant by “no one sane.”
D.She did not agree with her sister that Mooreland was a boring place.
Answer:
OPTION D
Step-by-step explanation: PLS MARK BRAINLIEST :D
please help me asap and show your work
Answer:
We need a question
Step-by-step explanation:
round 45,621 to the nearest 10
Answer:
45621.0
Step-by-step explanation:
Already rounded to the nearest tenth.
Answer
the answer to this question is 45620.
Subtract
8/9 - 1/3
5/6
5/9
7/9
7/12
Answer:
3/9
Step-by-step explanation:
Common denominator: 27
24/27 - 9/27 = 15/27 = 3/9
5 A triangle has a base length of 2x cm and a height of (x - 3) cm. If its area
is 18 cm², calculate its height and base length.
Answer:
base = 12; height = 3
Step-by-step explanation:
Area: ( b x h ) / 2
base: 2x
height: (x - 3)
---------------------------------
( ( 2x )*( x - 3 ) )/ 2 = 18
( 2x ^2 - 6x ) = 36
2x ^2 - 6x - 36 = 0
(quadratic formula)
x = 6
x = -3
---------------------------------
taking the positive value : x = 6
---------------------------------
base: 2x = 2(6) = 12
height: x - 3 = 6 - 3 = 3
Pls help ASAP pls it’s reasoning with fractions
please help me solve this !
will mark brainliest !
(spammers reported)
Answer:
x=2
Step-by-step explanation:
Your travel guide contains a grid map of London, with each unit on the grid representing 0.5 kilometers. If Buckingham Palace is located at (−2,2) and St. Paul's Cathedral is located at (−2,−3), what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two landmarks in kilometers? Round your answer to two decimal places, if necessary.
Answer:
5.00
Step-by-step explanation:
The direct distance between Buckingham Palace and St. Paul's Cathedral is 5 kilometers.
Given the coordinates of Buckingham Palace as (-2, 2) and St. Paul's Cathedral as (-2, -3).
To find the direct distance between two points on a grid, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula in a 2-dimensional Cartesian plane is:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
We can calculate the distance between them as follows:
x₁ = -2, y₁ = 2 (Coordinates of Buckingham Palace)
x₂ = -2, y₂ = -3 (Coordinates of St. Paul's Cathedral)
Distance = √((-2 - (-2))² + (-3 - 2)²)
= √(0² + (-5)²)
= √(0 + 25)
= √25
= 5 kilometers
So, the distance is 5 kilometers.
To learn more about the distance between two points;
https://brainly.com/question/24485622
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find the average rate of change of f(x)=5x^2-3 from 3 to 9
9514 1404 393
Answer:
60
Step-by-step explanation:
The average rate of change on the interval is ...
(f(9) -f(3))/(9 -3) = ((5·9² -3) -(5·3² -3))/(9 -3) = (402 -42)/6 = 60
What does the slope of the function represent?
Answer:
Hello there!
Your answer is,
The slope of the function represents a steady growth in the amount of money in the cash register after each sale.
Step-by-step explanation:
After they sell a cup of lemonade the graph goes up to represent the money they got and put into the register after the sale.
a square has a perimeter of 6x - 20 units. What is the value of x?
2x+2y=16x Solve for X Solve for Y
Answer:
x = [tex]\frac{y}{7}[/tex], y = 7x
Step-by-step explanation:
hope this helps
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Write the fraction in simplest form.
6/22=?
Answer:
3/11
Step-by-step explanation:
Divide both the numerator and denominator by 2.
[tex]\dfrac{6}{22}=\dfrac{2*3}{2*11}=\dfrac{3}{11}[/tex]
1. translation 6 units left and 3 units down
Image
A'
Preimage
A (1,7)
B (7,7)
C (7,4)
D (1,4)
B'
C
D
Answer:
A’(-5,4)
B’ (1, 4)
c’ (1,1)
d’ (-5, 1)
Step-by-step explanation:
What is the sum of 3/9 and 4/9?
Answer:
7/9
Step-by-step explanation:
Hope this helps you. Have a nice day.