Answer:
f(6) = -22, and g(-3) = 49
Step-by-step explanation:
f(x) = -4x + 2
f(6) = -4(6) + 2
f(6) = -24 + 2
f(6) = -22
I assume the 3 in g(x) = -2x3 -5 is cubed
g(-3) = -2(-3)^3 - 5
g(-3) = -2(-27) - 5
g(-3) = 54 - 5
g(-3) = 49
Raymond bought wrapping paper that cost
$0.04 per square inch. How much did it cost to
wrap this box.
Answer: $46.08
Step-by-step explanation:
Find the surface Area of the box
the bases are 12*12= 144 times 2 bases 144*2= 288
The area of each side is 12*18=216 times 4 sides 216*4=864
add the totals together to find the total surface area 288+864=1152
total surface area is 1152 inches. Multiply by the cost per square inch
1152*.04= 46.08
The circumference of a circle is 23 pi M what is the area in square meters express your answer in terms of pie
Answer:132.25π m²
Step-by-step explanation:The circumference of a circle is 23π
On the other hand, The circumference of a circle = 2×π×r ; where r is the radius. Then by equating the last two expressions we get: 23π = 2πr then r = 23/2 then the area = π × r² = (23/2)²×π = (132.25)×π
The diameter of a cake is 7.8 inches. What is the area of the cake?
Answer:
A = 12.25 sq inches
Step-by-step explanation:
A = (7.8/2)²π
A = 3.9²π
A = 12.25 sq inches
What is one-fifth of a number, x, increased by 24 is equal to eight tenths of the same number, x.
Answer:
x = 40
Step-by-step explanation:
(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x
0.2x + 24 = 0.8x
0.2x - 0.2x + 24 = 0.8x - 0.2x
24 = 0.6x
0.6x = 24
0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]
x = 40
Answer:
x=40
Step-by-step explanation:
1/5x+24=8/10x
give like denominators
2/10x+24=8/10x
subtract 2/10x on both sides
24=6/10x
divide 24 by 6/10, or multiply by 10/6
x=240/6
refine/simplify
x=40
Put the lowest number on the left 2 0 -3 -4
Answer:
-4, -3, 0, 2
Step-by-step explanation:
Answer:
-4,-3,0,2 :p ...........
Find the volume of the following figure using unit cubes.
Answer:
Volume : 94
Step-by-step explanation:
2(4 x 5) = 40
2(3 x 5) = 30
2(3 x 4) = 24
------------------
40 + 30 + 24 = 94
the function f(x) = -x^2 + 44x -384 models the daily profit in dollars that a shop makes
How do you know if a number is rational irrational or not real number
Answer:
A rational number can expressed as a whole number, integer, square root, fraction, and more as long as it's not imaginary. However, the number has to be clean like 1/2=0.5, 1/3=0.333, -1, 200. If it is a number that goes on forever and is not repeated like 1.22222, then it's an irrational number like pie-3.14159..., 5/0, 2.201845. If you have an imaginary number- 6i, then this would be considered as non real numbers like x+2, red, wind, and y/7.
Step-by-step explanation:
I hope this helped you!
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 115.8. If the organization's claim is correct, what is the probability of having a sample mean of 115.8 or less for a random sample of this size
Answer:
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, 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.
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.
This means that [tex]\mu = 118, \sigma = 17[/tex]
A randomly selected group of 40 members
This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]
What is the probability of having a sample mean of 115.8 or less for a random sample of this size?
This is the pvalue of Z when X = 115.8.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]
[tex]Z = -0.82[/tex]
[tex]Z = -0.82[/tex] has a pvalue of 0.2061
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Apply the distributive property to create an equivalent expression. 6 ( a + 2 b + 3 c ) =
Answer: 6
Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c
Factor the binomial b^2 - 9
Answer:
(b-3)(b+3)
Step-by-step explanation:
b^2+3b-3b-9
Which of the following is closest to the mean absolute deviation of this
data set: 2.1, 3.5, 4.6, 5.8, 3.9, 4.2, 2.8?
A. 0.89
B. 1.6
C. 3.84
D. 3.9
Answer:
0.89
Step-by-step explanation:
Trust
3. A savings account has a 3% interest rate. (a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest ($) 3 12 6 36 (b) How much more interest would you have if you deposited $200 than if you deposited $150? Show your work.
Answer:
Wait what
Step-by-step explanation:
The length of a rectangular swimming pool is exactly three times as long
as its width. If the pool has a perimeter of 472m find the width of the pool
Answer:
59m
Step-by-step explanation:
Length= 3 × ( width)
But perimeter= 2width + 2 Lenght= 472
Let length= X
Width= Y
X= 3Y.........eqn(1)
2X + 2Y= 472........eqn(2)
Substitute X= 3Y in eqn(2)
2(3Y) + 2Y = 472
6Y + 2Y= 472
8Y= 472
Y= 59 m
Hence, the width of the pool is 59 m
PLEASE HELP!!
What value if m makes the equation true??
m+2m-6 =-12+2m
m=?????
can someone help me on this?
Answer:
Step-by-step explanation:
What is an equation of the line that passes through the point (-5,-2) and is
parallel to the line x - y = 5?
Answer:
[tex]y=x+3[/tex]
Step-by-step explanation:
What we need to know
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope1) Rewrite the equation x - y = 5 into slope-intercept form and identify the slope
[tex]x - y = 5[/tex]
Subtract both sides by x
[tex]x - y -x= -x+5\\-y= -x+5[/tex]
Divide both sides by -1
[tex]y= x-5[/tex]
Now, we can tell clearly that the slope (m) of this line is 1. Therefore, a line parallel to this would also have a slope of 1.
Plugging 1 as m into [tex]y=mx+b[/tex], we get:
[tex]y=x+b[/tex]
2) Find the y-intercept (b) of the line parallel to [tex]y= x-5[/tex] and find the final equation
[tex]y=x+b[/tex]
Plug in the given point (-5,-2)
[tex]-2=-5+b[/tex]
Add 5 to both sides
[tex]-2+5=-5+b+5\\3=b[/tex]
Therefore, the y-intercept of this line is 3. Now, plugging this back into our original equation, we get:
[tex]y=x+b\\y=x+3[/tex]
I hope this helps!
what is the product of 4/5 and 6/7
A mans basic wage for a 40 hour week is 160 . He is paid 5 per hour for overtime .If he fors for 6.5 hours overtime in a certain week , his wages for that week is
Answer: $192.50
Step-by-step explanation:
wages for 40 hrs + wages for overtime work
$160.00 + 6hrs × $5.00 + $2.50 (1/2 hrs)
$192.50
Credit: anjalijalan3126
How do you write 5.09 104 in standard form?
write a mathematical equation and calculate the area of the irregular polygon
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
not a straight line
Step-by-step explanation:
Linear has the word "line" in it. A linear relation has a graph shaped like a straight line.
Nonlinear means "not like a straight line".
Answer: not a straight line
find the slope of each line
Answer:
(1,1) and (2,-4)
Step-by-step explanation:
i supposed each line is 1,2,3,4,5 because it is not given the graph numbers but I hope it could help
Pls help 20 points !
Answer:
the answer is 168 is the answer
