The indicated function value is f(6²) = -72
How to calculate the indicated function values?The function definitions are given as
f(x) = -2x
g(x) = 2x+ 5
h(x) = x^2 + 3x - 10
The function f(6²) means that x = 6² in f(x)
So, we have
f(6²) = -2(6²)
Evaluate
f(6²) = -72
Hence, the indicated function value is f(6²) = -72
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Rodolfo le da una vuelta a la manzana en 4 minutos; Ricardo, en 5 minutos y Rena to, en 6 minutos. ¿En cuánto tiempo existirán si empiezan a hacer el recorrido desde el mismo punto?
Rodolfo, Rena y Ricardo se encuentran después de 6 minutos en la salida si todos comienzan su viaje desde el mismo punto.
Rodolfo tarda unos 4 minutos en dar la vuelta a la manzana.
Ricardo tarda 5 minutos en dar la vuelta a la manzana.
Rena tarda 6 minutos en dar la vuelta a la manzana.
Digamos que los tres comienzan el viaje desde el mismo punto A.
Rena tarda 6 minutos, Ricardo tarda un minuto menos que Rena y Rodolfo tarda 2 minutos menos que Rena.
Por lo tanto,
Rena es la que más tarda en dar la vuelta a la manzana y será la última en salir.
Por lo tanto, Rodolfo, Ricardo y Rena se encontrarán después de 6 minutos en la salida.
Todas se reúnen después de 6 minutos en la salida.
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Need these pleaseeeeee
Given the binary number 1011, what is the next consecutive binary value? (what happens when you add 1 to 1011)? explain how you arrived at your answer.
The next consecutive binary value of 1011 = 1100
Binary numbers only consist of two digits: 0 and 1. So there are some specific rules for addition in binary. They are:
0 + 0 = 00 + 1 = 11 + 1 = 10(read as one zero and corresponds to the binary value of 2)1 +1 + 1 = 11 (read as one one one and corresponds to the binary value of 3)Here 1011 is a binary number and to find the its next consecutive binary value, we have to add 1 to 1011.
i.e., 1 0 1 1 +
1
------------------
1 1 0 0
The 0 in the one's place is got by adding 1 + 1 = 10 and 1 is supposed to be a carry to the ten's place. The 0 in the ten's place is got from adding this carry 1 and 1, which again gives 10 and 1 is carry to next place. Now 0 + 1 = 1 and finally we get, 1011 + 1 = 1100.
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60% of the marbles in a container are red and the rest are black. After another 9 black
marbles are added, the ratio of red and black marbles becomes 4: 3. How many black marbles
are there now?
Answer:
81
Step-by-step explanation:
Red marbles = r
Black marbles = b
Red : Black
60 : 40
r : b
40r = 60b
r = (60/40)b
Red : Black
4 : 3
r : b + 9
3r = 4(b+9)
3r = 4b + 36
3((60/40)b) = 4b + 36
(9/2)b = 4b + 36
(9/2)b - 4b = 36
(1/2)b = 36
b = 72 This is the original amount of black marbles
They added 9 after this, so
72 + 9 = 81
1. If we are told that (x+4)(x+7)=0, then what can we infer?
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
2. If we are told that (3x-7)(2x+5)=0 then what can we infer?
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
3.We want to solve the equation x^2-3x-40=0
First factor x^2-3x-40: ___
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
4.We want to solve the equation 3x^2-11x-42=0
First factor 3x^2-11x-42: ___
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
5.We want to solve the equation 10x^2+9x+2=0
First factor 10x^2+9x+2
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
1. x + 4 = 0 or x + 7 = 0
x = -4 or x = -7
2. 3x - 7 = 0 or 2x + 5 = 0
x = 7/ 3 or x = -5/ 2
3. x + 5 = 0 or x -8 = 0
x = -5 or x = 8
4. (x - 6) = 0 or (3x + 7) = 0
x = 6 or x = -7/ 3
5. 5x + 2 = 0 or 2x + 1 = 0
x = -2/ 5 or x = -1/ 2
How to determine the values1. (x+4)(x+7)=0
We have that;
Zero product property;
x + 4 = 0 or x + 7 = 0
x = -4 or x = -7
2. (3x-7)(2x+5)=0
We have that;
Zero product property ;
3x - 7 = 0 or 2x + 5 = 0
x = 7/ 3 or x = -5/ 2
3. x² -3x - 40=0
x² -8x + 5x - 40 = 0
factorize the common multipliers
x(x - 8) + 5(x - 8) = 0
Zero product property;
x + 5 = 0 or x -8 = 0
x = -5 or x = 8
4. 3x² - 11x - 42=0
3x² +7x - 18x - 42 = 0
Factorize further
x(3x + 7) - 6(3x + 7) = 0
Zero product property;
(x - 6) = 0 or (3x + 7) = 0
x = 6 or x = -7/ 3
5. 10x² + 9x + 2 = 0
10x² + 5x + 4x + 2 = 0
Factorize
5x( 2x + 1) + 2 (2x + 1) = 0
Zero product property;
5x + 2 = 0 or 2x + 1 = 0
x = -2/ 5 or x = -1/ 2
Thus, the zero product property states that the product of two non-zero elements is not zero
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If you can play the piano, then you can play a musical instrument. kiyo can play a musical instrument.
use the law of detachment to write a true statement. if the law of detachment can't be used, explain.
Law of Detachment can't be applied here.
What is Law of Detachment ?The Law of Detachment says that we must detach ourselves from the result or outcome in order to allow what we desire to materialize in the physical universe. When we have done our part, we must learn to let go of the outcome for things to materialize. And once we do let go, it's when things materialize.
Given:
If you can play the piano, then you can play a musical instrument.
kiyo can play a musical instrument.
So, as Kiyo can play a musical instrument, that does not necessary mean he can play a piano.
There could be any other musical instrumental, not only piano.
So, the hypothesis do not have to be true.
Hence, the condition is not fulfilled, Law of Detachment can't be applied here.
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Write a quadratic function in standard form Vertex (1,9); passes through (4,6)
y = -3 ( x - 1 )² + 9 is quadratic function in standard form Vertex .
How does a parabola's vertex shape work?
The coordinates of the point where a parabola crosses its axis of symmetry can be determined using the vertex formula for parabolas. The point is the vertex (h,k). As is common knowledge, a parabola's standard equation is y = ax2+bx+c.given , Vertex = (1,9)
point = (4,6)
The formula is
y = a + ( x - h )² + k
where h = 1 , k = 9
then y = a ( x - 1 )² + 9
Find the value of
a when one of the points is ( 4,6)
6 = a ( 4 - 1 )² + 9
6 - 9 = 9a
-3 = 9a
a = -9/3 ⇒ -3
put value of a
y = a ( x - 1 )² + 9
y = -3 ( x - 1 )² + 9
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One year on Venus is equivalent to 224.7 days on Earth. How many days on Earth, in decimal form, are equivalent
to 9 years on Venus?
Record your answer in the boxes below. Be sure to use the correct place value.
The number of days on Earth, in decimal form that, are equivalent.to 9 years on Venus will be 2022.3 days.
How to calculate the value?From the information, one year on Venus is equivalent to 224.7 days on Earth.
Therefore, the number of days on Earth, in decimal form that, are equivalent to 9 years on Venus will be:
= 224.7 × 9
= 2022.3 days.
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Answer:
2022.3
Step-by-step explanation:
Classify this polynomial. –8r4 + 2r2 + 3r hurry pls
Answer: -r(8r^3-2r-3)
Step-by-step explanation:
Evaluate the function.
f(x) = 2x² – 3x – 1
Find f(8)
Given ~
[tex] \tt \: f(x) = 2x² – 3x – 1[/tex]
[tex] \: [/tex]
put the value of x=8 in given function ~
[tex] \tt \: f(8) = 2 ({8})^{2} - 3(8) - 1[/tex]
[tex] \: [/tex]
[tex] \tt \: f(8) = 2 (64) - 3(8) - 1[/tex]
[tex] \: [/tex]
[tex] \tt \: f(8) = 128 - 24 - 1[/tex]
[tex] \: [/tex]
[tex] \tt \: f(8) = 104 - 1[/tex]
[tex] \: [/tex]
[tex] \underline { \boxed{ \tt \red{f(8) = 103}}}{ \green ✓}[/tex]
[tex] \: [/tex]
hope helps ~
Express the mass of 49,000 molecules of oxygen in scientific notation.
grams
Answer: 49,000 molecules = 4.9*10⁴ molecules
Step-by-step explanation:
49,000=
49*10³=
4.9*10⁴ molecules
Someone pls help with this !! Tyyy
Answer:
a , b , e , f
Step-by-step explanation:
Meena and some friends are going to the movies. at the theater, they sell a bag of popcorn for $5.50 and a drink for $3.50. how much would it cost if they bought 5 bags of popcorn and 7 drinks? how much would it cost if they bought p bags of popcorn and d drinks?
It would cost-
$27.50 for the 5 bags of popcorn.$24.50 for the 7 drinks.What is cost?In common parlance, cost is the monetary value of products and services purchased by producers and consumers.
Cost is the measure of a alternative opportunities foregone when one good or activity is chosen over others in a basic economic sense. This fundamental cost is commonly known as opportunity cost.Total cost refers to all expense incurred in achieving a specific level of output; dividing such total cost by the quantity generated yields average or unit cost.Total cost = (fixed cost) x Number of units produced.
The cost of a bag of popcorn for $5.50.
The number of popcorn bags bought are 5.
Total cost for 5 bags of popcorn are-
$5.50 ×5 = $27.50.
Thus, Total cost for 5 bags of popcorn bags are $27.50.
The cost of 1 drink is $3.50.
The total number of drinks bought is 7.
Total cost = $3.50×7 = $24.50
Thus, the total cost for the drinks is $24.50.
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12. Which is the simplified expression of -8(2m + 9k-13)?
-16m+9k-13
A.-16m +9k - 13
B. -16m - 72k + 104
C. -16m-72k - 104
D. 16m - 72k - 104
-16m - 72k + 104 is the simplified expression .
What does a math expression mean?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)Expression can be a commonly used word or phrase or a means of expressing your ideas, emotions, or sentiments. The idiom "a penny saved is a penny earned" is a prime example. A smile is an illustration of an expression.the simplified expression of -8(2m + 9k-13)
= -8(2m + 9k-13)
= -16m - 72k + 104
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Find the surface area of the cube shown below. A. 66 cm2 B. 121 cm2 C. 726 cm2 D. 1,331 cm2
Answer:
66
Step-by-step explanation:
please help me with this i will mark as brainliest
Answer:
SHOWN BELOW!!!!
Step-by-step explanation:
KEEP IN MIND ----> *Square root of a number is a value, which on multiplication by itself gives the original number. The square root is an inverse method of squaring a number.*
Alright so the first equation C^2 - 49 = 0
Step 1 : Add 49 to both sides
C^2 - 49 + 49 = 0 + 49
C^2 = 49
Step 2 : Take the square root
(squ root) C^2 = (squ root)49
C = +/- (squ root) 49
Final answer ---> C = 7 OR C = -7
2.) 4S^2 - 100 = 0
Step 1 : Add 100 to both sides
4S^2 - 100 + 100 = 0 + 100
4S^2 = 100
Step 2 : Divide both sides by 4
4S^2/4 = 100/4
S^2 = 25
Step 3 : Take the square root
(squ root) S^2 = (squ root) 25
S = +/- (squ root) 25
Final answer ---> S = 5 OR S = -5
3.) 9x^2 = 324
Step 1: Divide both sides by 9.
9x^2/9 = 324/9
x^2 = 36
Step 2: Take the square root
squ root) x^2 = (squ root) 36
x = +/- (squ root) 36
Final answer ---> x = 6 OR x = -6
Round 13.007 to the hundredths place value.
Answer:
13.01
Step-by-step explanation:
The zero next to the 7 is the hundredths place.
13.007
Drop the 7.
Now you have 13.00
Since 7 is from 5 to 9, the last zero goes up 1 to 1.
Answer: 13.01
Answer:
13.01
Step-by-step explanation:
13.00|7
When the number is 5 or higher round up
13.01
Last year, 63 new houses were built in a neighborhood. So far 6/7 of them have been sold. How many new houses have been sold this year?
Write your answer in simplest form
Answer is 54. Here is a trick for you. Write 63 as a fraction, with the denominator as 1. 63/1. Then insert the fraction you are calculating, 6/7: (6*63)/7*1. Do the multiplication, 6*63=378, 7*1=7. Then write as 378/7. What's 378/7? Your answer 54.
What is the absolute value of:
-3|2y-3|+2=-20
Answer:
Exact Form:
y = 31/6, −13/6
Decimal Form:
y = 5.16,−2.16
Mixed Number Form:
y = 5 1/6,−2 1/6
Which set of values contains no integers?
A. {-5, 9/3, 7.2}
B. {2.2361, 4, 7.8}
C. {-12, -3.33, 2.6458}
D. {-23/5, 2.4495, 5.1}
Answer:
D
Step-by-step explanation:
Integers found in:
A: -5, 9/3 = 3
B: 4
C: -12
Hope this helped! ^^
A 40g rock is lowered into 20ml the water rose to 45ml what is the density
PLEASE HELP ME
Answer:
40g/25ml
Step-by-step explanation:
The density formula is Mass/Volume. The rock is stated to have a mass of 40g, and the 20ml of water was displaced by 25ml, so, the rock has a volume of 25ml.
0
latoya's fish tank has 16 liters of water in it. she plans to add 5 liters per minute until the tank has at least 61 liters. what are the possible numbers of minutes
latoya could add water?
use t for the number of minutes.
write your answer as an inequality solved for t.
The inequality is 16 + 5t ≥ 61 and it takes 9 minutes or more minutes to fill the tank with at least 61 liters of waters.
Inequality:
Inequality is defined as a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given,
Latoya's fish tank has 16 liters of water in it. she plans to add 5 liters per minute until the tank has at least 61 liters.
Here we need to find the possible numbers of minutes Latoya could add water and we have to find the inequality also.
Let t be the number of minutes.
So, now we can start with 16 liters and every minute (t) you plan to add 5, the final product will have at least (≥) 61 so the equation would be:
=> 16 + 5t ≥ 61
=> 5t ≥ 61 - 16
=> 5t ≥ 45
=> t ≥ 45/5
=> t ≥ 9
So, Latoya need 9 minutes or more to fill the tank with at least 61 liters.
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f(x) = -x² - 8x - 16; Find ƒ(-3)
f(-3) = -1
Step-by-step explanation:We can find an unknown y-value by plugging an x-value into a given function.
Function Notation
Before we answer this question, we need to understand the notation of the equation. In function notation, the equation is given in terms of f(x).
"f(x)" represents the y-value of a function at the point "x".For example, f(-3) represents the value of y when x = -3.
Finding f(3)
As stated above, to find f(-3) we need to plug -3 in for x. *Remember to use PEMDAS when solving.* This creates the new equation:
f(-3) = -(-3)² - 8(-3) - 16Then, distribute the exponent.
f(-3) = -9 - 8(-3) - 16Next, multiply.
f(-3) = -9 - (-24) - 16Distribute the negative.
f(-3) = -9 + 24 - 16Finally, add the remaining terms.
f(-3) = -1This means that when x = -3, y or f(-3) = -1.
The mean of this data was found to be 42, while the median was 37. what does this tell you about the shape of this distribution?
Mean > median, the distribution is skewed to the right.
What is mean?In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific set of data, often in order to better understand the overall value (magnitude and sign) of a given data set.The arithmetic mean, also known as "arithmetic average," of a data set is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.So,
Given that age was documented in a survey of 8225 Americans.The mean was 42, and the median was 37.As a result, the median mean is used here.When the mean exceeds the median, we can say that the data is skewed to the right.If the mean is symmetrical, the median will coincide. If the mean differs from the median, the data is skewed rather than symmetrical.When mean > median, we have a skewed distribution to the right.Therefore, mean > median, the distribution is skewed to the right.
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The correct question is given below:
A survey was conducted from a random sample of 8225 Americans, and one variable that was recorded for each participant was their answer to the question, "How old are you?" The mean of this data was found to be 42, while the median was 37. What does this tell you about the shape of this distribution?
Marcie cooked dinner for herself. The original recipe has a serving size of 3 and requires three and three sevenths pounds of chicken. How many pounds of chicken will be needed for a single serving?
one and one seventh pounds
nine and three sevenths pounds
two over 49 pounds
three sevenths pounds
Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The number of pounds for 3 people is given by:
[tex]3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}[/tex]
Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:
[tex]\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}[/tex]
24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:
one and three seventh pounds.
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Answer:
Step-by-step explanation:
the awnser is cerrot.
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
1. -10x+36
2. 24x+121
3. 2x-8xy+32y
4. 50x-10xy+y^2
Step-by-step explanation:
i think dis right
Answer:
see explanation
Step-by-step explanation:
using the following expansions
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
1
x² - 12x + 36
with a = x and b = 6 , then
x² - 12x + 36 = x² - 2(x)(6) + 6² = (x - 6)²
2
x² + 22x + 121
with a = x and b = 11 , then
x² + 22x + 121 = x² + 2(x)(11) + 11² = (x + 11)²
3
x² - 8xy + 16y²
with a = x and b = 4y , then
x² - 8xy + 16y² = x² - 2(x)(4y) + 16y² = (x - 4y)²
4
25x² - 10xy + y²
with a = 5x and b = y , then
25x² - 10xy + y² = 25x² - 2(5x)(y) + y² = (5x - y)²
A small apartment has a 10ft by 10ft bedroom, a 5ft by 5ft bathroom, and a single multi-use 14ft by 18ft living room/kitchen. what is the total square footage (area) of the apartment?
The total square footage (area) of the apartment is 337 square feet.
It is given in the question that, In a small apartment:-
Dimensions of the bedroom = 10 ft by 10ft
Dimensions of the bathroom = 5 ft by 5 ft
Dimensions of the living room/kitchen = 14 ft by 18 ft
We have to find the total square footage (area) of the apartment.
We know that,
Area of square = [tex]side^2[/tex]
Hence,
Area of the bedroom = 100 square feet
Area of the bathroom = 25 square feet
Area of the living room/ kitchen = 212 square feet
Hence,
Total square footage of the apartment = 100 + 25 + 212 = 337 square feet.
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Evaluate the indefinite integral. (use c for the constant of integration.) x5 1 x12 dx
The evaluation of the given indefinite integral is (1/8)Tan⁻¹(x⁸) + C.
What is indefinite integral?A function that performs the antiderivative of another function is known as an indefinite integral. It can be represented visually as an integral symbol, a function, and finally a dx. A differentiable function F whose derivative is equal to the original function f is referred to as an antiderivative, inverse derivative, primitive function, primitive integral, or indefinite integral of a function f in calculus.So,
∫[x⁷ / (1 + x¹⁶)]dx = ∫[x⁷ / (1 + (x⁸)²]dxNow, u = x⁸. Then, du = 8x⁷dx. So, x⁷dx = (1/8)du.So, we obtain: (1/8)∫[du / (1 + u²)] = (1/8)Tan⁻¹u + C = (1/8)Tan⁻¹(x⁸) + CTherefore, the evaluation of the given indefinite integral is (1/8)Tan⁻¹(x⁸)+C.
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The correct question is given below:
Evaluate the indefinite integral. (use c for the constant of integration.)
x⁷/1+x¹⁶ dx
Simplify the radical expression that does NOT simplify to 10.
Answer:
A.
Option A√10 ≈ 3
2 × 3 ≈ 6
Option B√25 = 5
√4 = 2
5 × 2 = 10
Option C[tex]\frac{300}{3}=100\\\sqrt{100}\\100=10^2\\\sqrt{10^2}\\\sqrt{10^2}=10[/tex]
Option D[tex]1000=10^3\\\sqrt[3]{10^3}\\\sqrt[3]{10^3}=10(\mathrm{Radical\:rule)}\\[/tex]
Thus,
option A. is correct.
HELP ME
your revenue function is f(x) = 3x. How does this affect your profit for 100 downloads?
Answer:
It affects it by profit for 100 downloads is for $90 greater.
Step-by-step explanation:
Profit - 90% * revenue - 50
p(x) - 0.9 * f(x) - 50
=0.9 * 3x - 50
=2.7x - 50
Now find the profit for 100 downloads: p(100) = 2.7 * 100 - 50 =220
220 - 130 = 90