Answer:
x <= 500
Step-by-step explanation:
x (how much money) is less than, or equal to $500.
HELP QUICK GIVING 25 POINTS, Also use distrib property!!
Evaluate f(x) ∙ g(x) by modeling or by using the distributive property.
f(x) = (−3x^2 + 2) and g(x) = (−2x^3 − 5x + 4)
Answer:
6x^5 + 11x^3 - 12x^2 - 10x + 8
Step-by-step explanation:
(-3x^2 + 2) x (-2x^3 - 5x + 4)
Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.
-3x^2 x -2x^3 = 6x^5
-3x^2 x -5x = 15x^3
-3x^2 x 4 = -12x^2
Now to do 2 x -----.
2 x -2x^3 = -4x^3
2 x -5x = -10x
2 x 4 = 8
Last, but not least, we combine like terms.
6x^5 + 11x^3 - 12x^2 - 10x + 8
write a equation in the form y= mx or y= mx + b to represent the relationship between the independent and dependent qualities?
Answer:
y = 10x
Step-by-step explanation:
Independent variable (x) = time (minutes)
Dependent variable (y) = distance (feet)
The line passes through the point of origin (0, 0), which means it represents a proportional relationship. Therefore, the equation would be in the form of y = mx. Where,
m = slope = y/x
Using any point on the line, say (5, 50),
m = 50/5
m = 10
To write the equation, substitute m = 10 into y = mx
Thus:
y = 10x
Kendall is Jamal's older brother. The sum of their age is 39 the difference of their age is 9. How old are Kendall and Jamal?
Write and solve the system of equations.
Answer:
Kendall is 24 and Jamal is 15.
Step-by-step explanation:
39 - 9 = 30
30 ÷ 2 = 15
15 is Jamal's age.
15 + 9 = 24
24 is Kendall's age.
Si un ladrillo de adobe pesa 20kg. mas de la mitad de su peso. ¿Cuanto pesara un ladrillo y medio?
Answer:
pesaria 2.25 kilos
explicacion
A submarine travels at an elevation of -75 3/4 ft relative to sea level. Then its elevation changes by -16 3/8 ft. What is the new elevation of the submarine? Show your work
Answer:
The new navigation height of the submarine is -62.25 feet.
Step-by-step explanation:
Given that a submarine travels at an elevation of -75 3/4 ft relative to sea level, and then its elevation changes by -16 3/8 ft, to determine what is the new elevation of the submarine the following calculation must be performed:
3/4 ft = 0.75 ft
-75 x 0.75 = -56.25 ft
3/8 ft = 0.375 ft
-16 x 0.375 = -6 ft
-56.25 + -6 = -62.25
Thus, the new navigation height of the submarine is -62.25 feet.
what THE fRiCk is 3 3/4 as a fraction Bigger than 1
Answer:
I am pretty sure that it is.
Step-by-step explanation:
Isn't 3 bigger than 1
Well i hope this helps
Have a great day!!!!!!!
i) Coordinates of point P
a) (1,1) b) (1,2) c) (2,1) d) (1,0)
ii) Coordinates of point Q
a) (0,-3) b) (-3,0) c) (-3,-3) d) (0,3)
iii) Coordinates of point T
a) (-4,-2) b) (-2,-4) c) (4,-2) d) (-2,4)
iv) (Ordinate of T) – (Abscissa of R)
a) -4 b) 4 c) 0 d) -2
v) (Abscissa of Q) – (Ordinate of S)
a) -4 b) 4 c) 2 d) -2
Given:
Five points P, Q, R, S ,T on a coordinate plane.
To find:
The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).
Solution:
From the given graph it is clear that the coordinates of given points are
P = (1,1)
Q = (-3,0)
R = (-2,-3)
S = (2,1)
T = (4,-2)
(i)
Coordinates of point P are (1,1).
Therefore, the correct option is (a).
(ii)
Coordinates of point Q are (-3,0).
Therefore, the correct option is (b).
(iii)
Coordinates of point T are (4,-2).
Therefore, the correct option is (c).
(iv)
Ordinate is y-coordinate and abscissa is x-coordinate.
Ordinate of T = -2
Abscissa of R = -2
(Ordinate of T) – (Abscissa of R) = -2 - (-2)
= -2 + 2
= 0
Therefore, the correct option is (c).
(v)
Abscissa of Q = -3
Ordinate of S = 1
(Abscissa of Q) – (Ordinate of S) = -3 - 1
= -4
Therefore, the correct option is (a).
Find the Area Please
Simplify: 7^6 divided 7^2
Answer:
The answer is 1/3
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
~Hoped this helped~
Which of the following sets does NOT represent a function.
O {(1,9), (-1,-9),(2,9), (-2, -9) }
O {(1,-9), (2,-5), (-1,9), (-2,5)}
O {(1,9) (-1,5), (2, -9), (-2,-5) }
O {(1,9), (1,-9), (2,5),(2,-5) }
Answer:
last one, the same X cant have more than one Y.
The average diameter of a tree is measured over time. The equation y=3/5x, where x is the time in years and y is the diameter in inches, models the relationship. What is the predicted diameter, in inches, of the three after 12 years?
please help me really fast
Answer:
$30.00 fee
$45.00=total bill
$0.10 per minute of usage
x = minutes used
$30.00 + 0.10 per minute = $45.00
$30.00+$0.10(x) = $45.00
$0.10(x) = $45.00-$30.00 = $15.00
x = $15.00/$0.10 = 150 minutes used
After two six-sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?
0.222
0.139
0.167
0.083
Answer:
0.222
Step-by-step explanation:
out of 36 outcomes you have 8 possible outcomes for a '4' or '6':
1,5
5,1
3,3
2,4
4,2
2,2
1,3
3,1
8/36 = 2/9 = .2 repeating
The probability that the dice faces add up to either 4 or 6 is 0.222.
What is Probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Here, After two six sided dice are rolled,
Hence, Total outcomes = 36
So, Probability of getting sum 4 that is, {(1, 3), (2, 2), (3, 1)};
P = 3/36
And, Probability of getting sum 6 = 5/36
Hence, Total Probability of getting sum either 4 or 6 = 3/ 36 + 5/36
= 8/36
= 2/9
= 0.222
Thus, the probability that the dice faces add up to either 4 or 6 is 0.222.
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PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Laurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50n + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurinda pay if she orders 8 boxes of cards?
Answer:
$55.00
Step-by-step explanation:
$6.50 (8) + $3 = $55.00
Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,500 houses. The subdivision was built in 1983. A sample of 120 houses is selected randomly and evaluated by an appraiser. If the mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, what is the probability that the sample average is greater than $229,500?
Answer:
0.0268 = 2.68% probability that the sample average is greater than $229,500
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Single house:
The mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, which means that [tex]\mu = 228, \sigma = 8.5[/tex]
Sample:
Sample of 120, so, by the central limit theorem, [tex]n = 120, s = \frac{8.5}{\sqrt{120}} = 0.7759[/tex]
What is the probability that the sample average is greater than $229,500?
This is 1 subtracted by the pvalue of Z when X = 229.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{229.5 - 228}{0.7759}[/tex]
[tex]Z = 1.93[/tex]
[tex]Z = 1.93[/tex] has a pvalue of 0.9732
1 - 0.9732 = 0.0268
0.0268 = 2.68% probability that the sample average is greater than $229,500
Can anyone please help me with 13-16 I’m begging anybody
Answer:
-3
Step-by-step explanation:
An even number of negative numbers will give a positive answer. An odd number of negative numbers will give a negative answer.
13-16, 16 is larger than 13 so it's negative
Your uncle is 2 years older than 3 times your age.
You are x years old. Write an expression to describe your uncles age.
It would be a lot helpful if you could answer this! :D
you are x
three times is 3x
2 years older is 3x + 2
Answer:
3x+2
Step-by-step explanation:
3 times x plus 2 since he's 2 years older than that
Which do the following options represent the measure of arc RA
A.38.6
B.65.6
C.71.4
D.77.2
Answer:
77.2°
Step-by-step explanation:
Consider the triangle JKR.
∠KJR=108.6 (lies on the same line as ∠RJA, angles on a straight line add up to 180)
All the angles in a triangle add up to 180, so:
∠JKR+∠KJR+∠JRK=180
∠JKR+108.6+32.8=180
∠JKR=38.6=∠RKA
Consider ∠RKA. This angle stands on the same arc as ∠RCA.
Since the angle at centre is twice the angle at circumference, 2(∠RKA) = ∠RCA.
2(∠RKA) = ∠RCA
2(38.6)=∠RCA
∠RCA=77.2°
Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.13 times as many villagers as he had in the one before. The game gave Chase 4 villagers to start with. Explain to Chase how to create an equation to predict the number of villagers in any specific town. Then show how to use your equation to solve for the number of villagers he can create to live in his 17th town.
Answer:
Step-by-step explanation:
a sub n = a sub 1 x r ^ n-1
a sub n = 17 since that's what's in question
a sub 1 = 4 since that's the starting amount
r = 1.13 since that's the difference
a sub 17 = 4(1.13) ^17-1
a sub 17 = 4(7.0673255268)
a sub 17 = 28.2693021072
a sub 17 ≈ 28.37
Please vote brainliest
The number of villagers that Chase can create to live in his 17th town is 28.27.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) As it is given that the number of villagers that Chase had, in the beginning, is 4, and the number of villagers will increase at the rate of 1.13 every time Chase conquers a new village. Therefore, if Chase had n number of towns then Chase had conquered (n-1) number of towns because Chase already had 1 village in the beginning, thus, the villagers will increase (n-1) number of times by the rate of 1.13 times. Therefore, the equation can be written as,
[tex]A = 4(1.13)^{(n-1)}[/tex]
Thus, the function that represents the number of villagers when chase conquered n number of villages is [tex]A = 4(1.13)^{(n-1)}[/tex].
B.) We already know the function that represents the number of villagers, therefore, the number of villagers when Chase had conquered 17 villages can be written as,
[tex]A = 4(1.13)^{(n-1)}\\\\A = 4(1.13)^{(17-1)}\\\\A = 28.27[/tex]
Hence, the number of villagers that Chase can create to live in his 17th town is 28.27.
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Consider these functions
f(x) = 4x^3 - 10
3x - 4
g(x) = _______
2
What is the value of g(f(2))
A. -6
B. 2
C. 19
D. 31
==========================================================
Explanation:
The expression g(f(2)) has f(2) as the inner function.
Let's compute f(2)
This means we plug x = 2 into the f(x) function
f(x) = 4x^3 - 10
f(x) = 4(x)^3 - 10
f(2) = 4(2)^3-10
f(2) = 4*8-10
f(2) = 32-10
f(2) = 22
Now we'll plug this into the g(x) function
This is because g(f(2)) = g(22). I've replaced f(2) with 22
So,
g(x) = (3x-4)/2
g(22) = (3*22-4)/2
g(22) = (66-4)/2
g(22) = 62/2
g(22) = 31
Therefore, g(f(2)) = 31
The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
f(x) = 4x³ - 10
g(x) = (3x - 4) / 2
The function g(f(x)) is written as,
g(f(x)) = [3(4x³ - 10) - 4] / 2
g(f(x)) = [12x³ - 30 - 4] / 2
g(f(x)) = [12x³ - 34] / 2
g(f(x)) = [6x³ - 17]
The value of the function g(f(x)) at x = 2 will be given as,
g(f(2)) = [6(2)³ - 17]
g(f(2)) = 6(8) - 17
g(f(2)) = 48 - 17
g(f(2)) = 31
The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.
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True and false
Urgent!!! Please help man!
Answer:
True
Step-by-step explanation:
Because I did this.
Help needed with this as soon as possible
Answer:
3
Step-by-step explanation:
it passes the vertical line test
hope this helps have a good day!
30 POINTS PLUS BRAINLIEST PLEASE ANSWER THESE MATH QUESTIONS.ALL TROLL ANSWERS WILL BE REPORTED MUST HE DONE IN 1HR OR.LESS.
Answer:
4) wall = 114 ft^2
$118.56 to paint
5) 77 cm^2
Step-by-step explanation:
4) (15 x 8)-(2 x 3)=120-6=114 ft^2
114 x $1.04 = $118.56
5) (14 x 3.5) + (8 x 3.5) = 49 + 28 = 77 cm^2
Answer:
4:
114,$118.56
5. 77
Step-by-step explanation:
To find the area of the wall, you multiply 15 x 8, then subtract (2 x 3) from that answer.
15 x 8 = 120
120 - (3 x 2) =
120 - 6 = 114ft^2
To find the cost, multiply the area by the cost:
1.04 x 114 = $118.56
Since the side with 3.5 cm is congruent with another side, that means that side is also 3.5 cm. I like to break up the figure in this situation, into 2 rectangles. The first is 8 cm x 3.5 cm, and the other being 3.5 cm x 14 cm.
8 x 3.5 = 28 cm^2
14 x 3.5 = 49cm^2
Add together to get the area:
49 + 28 = 77 cm^2
A bucket contains 13 & 1/3 gallons of water and is 5/6 full. How many gallons of water would be in a full bucket?
Answer:
16
Step-by-step explanation:
Answer:
17 2+2+2+2+2+2+2+2+1
Step-by-step explanation:
the bucket contains 13 and 6
First try was incorrect
Hall is baking a pie. The radius of the pie is 17 inches. What is the
area of the pie?
Use 3.14 for pi and round your answer to the nearest tenth.
label required
Answer:
907.5
Step-by-step explanation:
Formula to find the area of a circle: πr²
πr² = 3.14 x 17²
= 3.14 x 289
= 907.46
≈ 907.5
Hope this helps :)
There were 382 chairs in the music hall.Write a number greater than 382.
Answer:
383
Step-by-step explanation:
Which statement is true about this data set?
3,1, 6, 4, 4, 4, 3, 2, 5, 3
Answer:
What statements?
Step-by-step explanation:
Is there a list of statements for this question? I would love to help!
someone please help
What is the slope of the line shown below?
10
A. 3
61 (1,5)
B. 2
Oh
61,-1)
O c. -3
10
15
O D. -2
-102
Answer:
A. 3
Step-by-step explanation:
The formula for slope is (y2-y1)/(x2-x1), for two points (x1,y1) and (x2,y2) on the line.
Our points are (-1,-1) and (1,5):
(5-(-1))/(1-(-1))
6/2
3
The slope of the line shown below is 3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have,
Points from the graph (1, 5) and (-1,-1).
So, the slope of line
= (-1 - 5)/ (-1 - 1)
= -6 / (-2)
= 3
Thus, the slope of line is 3.
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equations with variables on both sides that make the answer x=8
Answer:
x/4 = x-6
Step-by-step explanation:
x/4 = x-6 makes x = 8
Hope this helps!!!