Answer:
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a speceified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.
Step-by-step explanation:
here is a step by step equation:
f(x) = x + 7
if:
x=2
then:
f(2) = 2 + 7 = 9
A function is linear if it can be defined by
f(x) = mx + b
Makes sense? Hope I helped
plus I'm in middle school learning this also.
Keith's chocolate bar is 42% cocoa. If the weight of the chocolate bar is 61 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
TIMED.
Answer:
25.62 grams of cocoa
Step-by-step explanation:
To find the number of grams of cocoa in Keith's chocolate bar, we need to multiply the weight of the chocolate bar in grams by the percentage of cocoa in decimal form.
First, we convert the percentage to a decimal by dividing it by 100:
42% = 42/100 = 0.42
Next, we multiply the weight of the chocolate bar by the percentage of cocoa:
0.42 x 61 = 25.62
Therefore, the chocolate bar contains 25.62 grams of cocoa, rounded to the nearest tenth.
Answer:
25.62
Step-by-step explanation:
42 / 100 × 61
= 0.42 × 61
= 25.62
If the computer store sells 200 laptops for $1000 each and 250 netbooks for $200 each. How much total profit does the store make?
what are the steps to this problem?
2x-7< 1 what is x<? please help me
Answer:
4
Step-by-step explanation:
2x - 7 < 1
2x < 8
x < 4
Hope this helps! Pls give brainliest!
the point (1, –5) is reflected across the y-axis.a coordinate are its new coordinates?(–1, 5)(1, –5)(–1, –5)(1, 5)
Answer:
(-1, -5)
Step-by-step explanation:
since it is reflected across the y- axis, the y coordinate remains the same while the x coordinate changes sign so we get,
(1,-5) goes to (-1, -5)
PRETEST: The Number System
What is the fractional equivalent of the repeating decimal 0.2?
0339
off
O
O
6/N
27
5 of 13 QUESTIONS
SUBMIT
The fractional equivalent of the repeating decimal 0.2 is 2/9
How to determine the fractional equivalent of the repeating decimalFrom the question, we have the following parameters that can be used in our computation:
Repeating decimal = 0.2
Represent properly
So, we have
Repeating decimal = 0.2222
Express as fraction
So, we have
Fraction = 2/(10 - n)
In this case
n = 1
So, we have
Fraction = 2/(10 - 1)
Evaluate
Fraction = 2/9
Hence, the fractional equivalent is 2/9
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please help me? :\ :/
25 points! write the radical ³√32m³ using rational exponents
Answer:
To write the radical ³√32m³ using rational exponents:
1. Rewrite the radical using exponential notation: 32m^3 ≈ 8m^3.
2. Convert the exponent into its equivalent fractional form: 8m^3 ≈ 2^3m^3/2^3.
3. Apply a rational exponent to the numerator: (2^3m^3)^(1/3)/2^3 = 2m.
4. The radical can now be written using rational exponents: (2m)^3/2^3.
you put 100$ in a savings account for six months at a rate of 0.2%
How much interest will you make?
Answer:
$101.21
Step-by-step explanation:
I'll assume the rate is per month
100*100.2^6
after math
101.20601602
round to the nearest cent for money
101.21
What's the area of this quadrilateral?
Answer:
Area of parallelogram = base x height
4.6 x 8.7 = 40.2 yd^2
Hope that answers your question
Step-by-step explanation:
Sue ran 2.1 miles on Monday, 1.25 miles on Tuesday and Wednesday, 3.75 miles on Thursday, and 2.5 miles on Friday. How far did she run in all?
Answer:
8.6 miles
Step-by-step explanation:
1.25+3.75=5
5+2.5= 7.5
7.5+ 2.1= 8.6
:)
Serena claims that (x+3) is a factor of p(x)=x4+6x3+12x2+10x+3. Which equation must Serena show to be true in order to prove her claim?
A
p(0)=3
B
p(3)=0
C
p(0)=−3
D
p(−3)=0
Answer:
In order to prove that (x+3) is a factor of p(x), Serena must show that p(-3) = 0. This means that if we plug -3 into the polynomial p(x), the resulting value must be 0. Therefore, the correct answer is option D, p(-3)=0.
Step-by-step explanation:
First, translate ____________________. next, rotate δabc about b to align the sides and angles. vertex b to vertex z vertex b to vertex y vertex a to vertex z vertex a to vertex y
First, translate vertex b to vertex y. next, rotate δabc about b to align the sides and angles, option B.
How are triangles mapped?Triangles can be mapped using a combination of translations, rotations, reflections, and dilations. These transformations change the position, orientation, and size of the triangle in the plane.
For example, a translation involves moving the triangle in a certain direction without changing its orientation or shape, while a rotation involves turning the triangle around a fixed point by a certain angle. A reflection involves flipping the triangle across a line of symmetry, while a dilation involves changing the size of the triangle by a certain factor.
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The complete question is:
How can ΔABC be mapped to ΔXYZ?
First, translate ____________________. next, rotate δabc about b to align the sides and angles.
vertex b to vertex z
vertex b to vertex y
vertex a to vertex z
vertex a to vertex y
Answer:
A. vertex B to vertex Z
Step-by-step explanation:
Got correct on my quiz
Determine the maximum deflection of the simply supported beam. E= 200 GPa and.i = 39,9 (10^6) M^4
The maximum deflection of the simply supported beam, given the applied load P, the length of the beam L, the Young's Modulus E of the beam material, and the moment of inertia I, is equal to (5*P*L^3)/1536.3*10^15 m.
The maximum deflection of the simply supported beam is given by:
Maximum deflection = (5PL^3)/(384EI)
where P is the load applied to the beam, L is the length of the beam, E is the Young's Modulus of the beam material, and I is the moment of inertia of the beam.
Substituting the given values into the equation, we get:
Maximum deflection = (5*P*L^3)/(384*200*10^9*39.9*10^6)
= (5*P*L^3)/(1536.3*10^15)
= (5*P*L^3)/1536.3*10^15 m
The maximum deflection of the simply supported beam, given the applied load P, the length of the beam L, the Young's Modulus E of the beam material, and the moment of inertia I, is equal to (5*P*L^3)/1536.3*10^15 m.
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a researcher finds a positive correlation between a measure of community involvement and a measure of life satisfaction. how should we interpret the relationship between these variables?
In the above condition of positive correlation, the higher a person scores on involvement, the higher they tend to score on life satisfaction. Therefore, the option B holds true.
Positive correlation can be referred to or considered as the correlation, wherein the relationship between two or more elements, that are taken into consideration, is direct. The direct relationship means that the movement of a change in one element leads to an equal movement in the other. Positive correlation also states about the measure of life satisfaction in the above condition.
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Complete question
A researcher finds a positive correlation between a measure of community involvement and a measure of life satisfaction. How should we interpret the relationship between these variables?
A) There is no relationship between involvement and life satisfaction.
B) The higher a person scores on involvement, the higher they tend to score on life satisfaction.
C) The higher a person scores on involvement, the lower they tend to score on life satisfaction.
D) Involvement and life satisfaction are probably the same variable
An ice cream shop has a make-your-own sundae bar. If there are 20 different flavors of ice cream to choose from, 5 different toppings to choose from, and 3 different sizes, how many different sundaes are possible
There are 300 different sundaes possible with the given choices of 20 ice cream flavors, 5 toppings, and 3 sizes at the make-your-own sundae bar.
To find the total number of different sundaes possible, we need to multiply the number of choices for each category: ice cream flavors, toppings, and sizes.
Number of ice cream flavors = 20
Number of toppings = 5
Number of sizes = 3
Total number of sundaes = Number of ice cream flavors × Number of toppings × Number of sizes
Total number of sundaes = 20 × 5 × 3
Total number of sundaes = 300
There are 300 different sundaes possible with the given choices of 20 ice cream flavors, 5 toppings, and 3 sizes at the make-your-own sundae bar.
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A telephone pole is 15 ft tall. A bird is feeding 6 ft away from the pole on the ground. If the bird flew to the top of the pole, how far would it fly?
Answer:
16.2 feet!
Step-by-step explanation:
TIMEDDD!!!!
Which product is positive?
(6) 3))
(-03)-4)
o (180)-4)
(3) 2003)
Answer:
I would say D
Step-by-step explanation: Because same signs equal positive and different signs equal negative so negative x negative = positive x positive = positive x positive = positive
Answer:
last one is positive
mark me BRAINLIEST
un trabajador de la construccion empuja una carga de 60kg sobre el piso a lo largo de una distancia de 14 m aplicando una fuerza de 260 N, luego levanta la carga verticalmente hasta una plataforma que se encuentra a 1.2 m del piso. este trabajo lo realizo en un total de 3 minutos . ¿cual es el trabajo y la potencia total desarrollada por el trabajador?
The total work done by the worker is approximately 4346.32 J, and the power developed by the worker is approximately 24.14 W.
How to solve
To calculate the total work done by the worker, we need to consider both the horizontal pushing work and the vertical lifting work.
Horizontal pushing work:
Work (W) = Force (F) × Distance (d) × cos(θ)
where θ is the angle between the force and the displacement.
Since the force is applied horizontally and the displacement is also horizontal, the angle between them is 0 degrees, and cos(0) = 1.
W_horizontal = F × d × cos(0)W_horizontal = 260 N × 14 m × 1W_horizontal = 3640 J (joules)Vertical lifting work:
To calculate the work done in lifting the load vertically, we first need to find the force required to lift the load. The force required to lift the load is equal to the weight of the load:
Weight (Wt) = Mass (m) × Acceleration due to gravity (g)
where g ≈ 9.81 m/s² (approximately, on Earth's surface).
Wt = 60 kg × 9.81 m/s²
Wt ≈ 588.6 N
Now, we can calculate the work done in lifting the load:
W_vertical = Wt × h × cos(0)
where h is the vertical height.
W_vertical = 588.6 N × 1.2 m × 1
W_vertical ≈ 706.32 J
Now, we can find the total work done:
W_total = W_horizontal + W_verticalW_total = 3640 J + 706.32 JW_total ≈ 4346.32 J
Next, we'll calculate the power developed by the worker. Power is the rate of doing work, and it can be calculated as:
Power (P) = Work (W) / Time (t)
The worker does the work in 3 minutes, so we need to convert this time to seconds:
t = 3 min × 60 s/min = 180 s
Now, we can calculate the power:
P = W_total / t
P ≈ 4346.32 J / 180 s
P ≈ 24.14 W (watts)
So, the total work done by the worker is approximately 4346.32 J, and the power developed by the worker is approximately 24.14 W.
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The question in English is:
A construction worker pushes a 60-kg load across the floor a distance of 14 m by applying a force of 260 N, then lifts the load vertically to a platform that is 1.2 m above the floor. I do this work in a total of 3 minutes. What is the total work and power developed by the worker?
Victor fue al mercado para comprar manzanas, naranjas y platanos; las naranjas costaron el doble de lo 1ue pago por las manzanas y los platanos costaron 8 pesos menos que pas manzanas, en total gasto 100 pesos. Determina el precio de las manzanas, naranjas y platanos
Answer:
El precio de las manzanas = 27 pesos
El precio de las naranjas = 54 pesos
El precio de las bananas = 19 pesos
Step-by-step explanation:
Los parámetros dados son;
El monto total gastado = 100 pesos
Sea el precio de las naranjas = x
Sea el precio de las manzanas = y
Sea el precio de los plátanos = z
La cantidad pagada por las naranjas = 2 · y = x
La cantidad pagada por los plátanos = y - 8 = z
Por lo tanto, tenemos;
La cantidad total gastada = La cantidad pagada por las naranjas + La cantidad pagada por las bananas + La cantidad pagada por las manzanas
∴ El monto total gastado = 100 pesos = 2 · y + y - 8 + y
100 = 4 · años - 8
4 · y = 100 + 8 = 108
y = 108/4 = 27
y = 27
De
z = y - 8 tenemos;
z = 27 - 8 = 19
De 2 · y = x, tenemos;
2 × 27 = x
x = 54
Por lo tanto;
El precio de las naranjas = 54 pesos
El precio de las manzanas = 27 pesos
El precio de los plátanos = 19 pesos.
How many hours is 75% of 3 days?
Answer:18
Step-by-step explanation: eight equals 24 hours so 75 hours equals 18
Answer:
75% of 3 days is 54 hours. 3 days is 72 hours, 72=100%, x = 75%, 72/x = 100%/75% x/72 = 75/100, x = 54.
Step-by-step explanation:
PLS , help me asap :(( , im so frustrated , idk how to do these :c
Answer:
y intercept = 5
Step-by-step explanation:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Answer:
Step-by-step explanation:
i don't want to make u mad but i'm taking a test with that same question and i got 29.25 but i'm also not the smartest
A study is done on the population of a certain fish species in a lake. Suppose that the population size P(t) after t years is given by the following exponential function. P(t)=420(0.71)^t
Step-by-step explanation:
remember what an exponent represents : the number of times the base is multiplied by itself. e.g.
a⁵ = a×a×a×a×a
therefore, as example for our case here :
0.71⁴ = 0.71×0.71×0.71×0.71
so, now, what happens, when a number is multiplied by a positive number smaller than 1 ? is the result bigger or smaller than the original number ?
in other words : is 0.71×0.71 bigger or smaller than 0.71 ?
it is smaller, of course.
if you multiply by a number larger than 1, the result will be bigger. if you multiply by a number smaller than 1, the result will be smaller.
so, now back to our given problem here :
P(t) = 420(0.71)^t
the initial population we get for t = 0 :
P(0) = 420(0.71)⁰ = 420×1 = 420
remember, a⁰ = 1 for every a.
the function represents decay, because with every additional year we multiply by 0.71 an additional time, which lowers the result as explained.
by what % did the population change each year ?
it changes by the factor 0.71.
a factor of 1 stands for 100%, meaning the population would stay at 100% of the last year.
the factor 0.71 means that the populating goes down to 71% compared to the 100% of the previous year. so, it goes down (changes) by 100-71 = 29% each year.
8. rajis annual salary ranges from $25 325 in the 1st year to $34 445 in the 7th year. The salaries in this range form an arithmetic sequence? a) Determine the raise the person can expect each year. b) What is the total amount the person will earn in the 7 years?
Answer:
a) $1520
b) \(S_7 =\) $209195
Step-by-step explanation:
The range of salaries forms an arithmetic sequence with the first term as 25325 and its 7th term as 34445:
a) The raise the person can get each year is the common difference of the progression, d.
The nth term of an arithmetic progression is given generally as:
\(a_n = a + (n - 1)d\)
where a = first term = 25325
d = common difference
Therefore, the 7th term (34445) will be:
34445 = 25325 + (7 - 1)d
34445 = 25325 + 6d
=> 6d = 34445 - 25325 = 9120
d = 9120 / 6 = $1520
Therefore, the raise the person gets each year (common difference) is $1520.
b) The total amount the person will earn after 7 years is the sum of the salaries of all 7 yeas.
The sum of an arithmetic progression up to the nth term is given as:
\(S_n = \frac{n}{2}(2a + (n - 1)d)\\ \\\)
Therefore, the sum of the person's salary for the 7 years is:
\(S_7 = \frac{7}{2}(2 * 25325 + (7 - 1)1520)\\ \\S_7 = 3.5 (50650 + 6(1520))\\\\S_7 = 3.5 (50650 + 9120)\\\\S_7 = 3.5 * 59770\\\)
\(S_7 =\) $209195
That is the total amount of salary after 7 years
Fiona recorded the mean math exam grade for six random samples of students from the entire seventh-grade class. Sample Sample Mean Grade 1 65 2 92 3 78 4 45 5 95 6 70 Why is a valid prediction for the mean of the population not possible using these samples?
The reason why Fiona cannot make a valid prediction based on the mean of the population is that the variation of Fiona’s samples is too large.
Why can't Fiona use the means she recorded?Mean is quite sensitive to outliers so it is best used when the variation between variables is not too much.
In Fiona's case, there variation is quite high with high variable of 95 compared to a low value of 45.
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Answer: just confirming/
Step-by-step explanation:
Arithmetic average return is 10 nd the variance of returns is 0.05, find the approximate geometric mean.
The geometric mean when the arithmetic average return is 10 and the varriance of return is 0.05 will be 9.975.
According to the given question.
Arithmetic average return = 10
And, variance of returns = 0.05
As we know that, the geometric average or geometric mean is approximately equal to the arithmetic average minus half of the variance.
Therefore, the geometric mean when the arithmetic average return is 10 and the varriance of return is 0.05 is given by
Geoemtric mean = 10 - 1/2(0.05)
⇒ Geometric mean = 10 - 0.025 = 9.975
Hence, the geometric mean when the arithmetic average return is 10 and the varriance of return is 0.05 will be 9.975.
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NEED HELP WITH FHIS ASAP ILL GIVE BRAINLIEST
Answer:
if you divide 3 by every one of the numbers in the bigger equation you would get 3-x-4
If today is Friday, what day will it be in 51 days?
Show your thinking.
Answer:
SundayStep-by-step explanation:
Each weekday repeats every 7 days.
51 = 49 + 2 = 7•7 + 2
So 49 days from now also will be Friday .
Two days later will be Sunday.
So in 51 days will be Sunday.
what is the number if k% of it is 2a?
The number, x, is equal to (2a) × (100/k).
Let's denote the number as "x." We are given that k% of x is equal to 2a.
To find the number, we need to translate the given information into an equation. The phrase "k% of x" can be expressed as (k/100) × x.
According to the given information, (k/100) × x is equal to 2a:
(k/100) × x = 2a.
To solve for x, we can isolate it on one side of the equation by dividing both sides by (k/100):
x = (2a) / (k/100).
To simplify further, we can multiply by the reciprocal of (k/100), which is (100/k):
x = (2a) × (100/k).
Therefore, the number, x, is equal to (2a) × (100/k).
In summary, if k% of a number is equal to 2a, the number itself can be calculated as (2a) × (100/k).
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The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
It is 3 throughout the line.
It is fraction 1 over 3 throughout the line.
The slope from point O to point A is fraction 1 over 3 time the slope of the line from point A to point B.
The slope from point O to point A is three times the slope of the line from point A to point B.
Answer:
Every time the y-value decreases by 1, the x-value increases by 2, so the slope is -1/2 throughout the line.
Step-by-step explanation:
Answer:
It is the on below because I did an FLVS test and got it right
Step-by-step explanation:
It is fraction 1 over 3 throughout the line.