Steps to solve:
(3x - 10) = 149
~Add 10 to both sides
3x = 159
~Divide 3 to both sides
x = 53
Best of Luck!
Given the following sets, find the set (AUB)’ n C.
U={1,2,3,...,6}
A={1,3,4,6}
B={1,2,3}
C={1,2,3,4,5}
“Select the correct choice below”
A. (AUB)’ n C= ______
B. (AUB)’ n C is the empty set.
Help please!!!!
Step-by-step explanation:
(AUB)={1,2,3,4,6 }
(AUB)nC={1,2,3,4 }
The element of the set is (AUB)’ n C= { 5}
How to determine the setFrom the information given, we have that the sets are;
U ={1,2,3,...,6}
A={1,3,4,6}
B={1,2,3}
C={1,2,3,4,5}
Now, we have to take note of the following;
Prime represents elements of sets found only in the universal set∩ represents the intersection of sets∪ represents the union of setsFrom the information given, we then have;
A. (AUB) = { 1, 2, 3, 4, 6}
(AUB)' = { 5}
c = {1, 2, 3, 4, 5}
Then, the set;
(AUB)’ n C= { 5}
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5. While still in the hospital, the doctor writes an order for an antibiotic at 300mg/kg daily. You are nervous now because the nurse was wrong before. If you weigh 123 lb, determine how many milligrams you should be given.
The correct answer is 16737 mg
Explanation:
The first step to solve this problem is to convert the weight to kilograms because the dosage of the antibiotic is given in milligrams per kilo. This can be done by multiplying the pounds by 0.453 considering each pound is equal to 0.453 kilos. The process is shown below:
123 lb x 0.453 = 55.791 kg
Now, simply multiply the kilos by the recommended dose:
55.791 kg x 300 mg/kg = 16737 mg
Also, this can be converted to grams by dividing the number into 1000 (1000 mg = 1 g)
16737mg ÷ 1000 = 16.737 grames
Find a rational number that is between 9.5 and 9.7. Explain why it is rational
A rational number means it doesn't have a decimal that repeats. For example, 2/3 or 0.66....
There is only one number between 9.5 and 9.7. This number is 9.6.
The decimal doesn't repeat or go on forever so its rational.
Answer: 9.6
Best of Luck!
Answer:
9.6
Step-by-step explanation:
decimals are rational so ye
I need Math Help!!! Look at the picture for the question!
Answer:
b) in the vertex.
Step-by-step explanation:
In the vertex. If the parabola opens up or down the axis of symmetry is x = a where a is the x coordinate of the vertex.
If it opens to the left or right the axis is y = a where a is the y-coordinate if the vertex.
John is walking around a circular track with a radius of 50 ft. If he walks the equivalent of 140 degrees, find the total distance he has walked around the track to the nearest Foot.
Answer: 122 ft
Step-by-step explanation:
s = r Ф (Ф must be in radians)
Given: r = 50
Ф = 140°
[tex]\dfrac{\pi}{180^o}=\dfrac{x}{140^o}[/tex]
[tex]\dfrac{140^o\pi}{180^o}=x[/tex]
[tex]\dfrac{7\pi}{9}=x[/tex]
[tex]s=50\bigg(\dfrac{7\pi}{9}\bigg)\\\\\\.\quad =\dfrac{350\pi}{9}\\\\\\.\quad =122\ ft[/tex]
solve for x 5x-2=3x+4
Answer:
3
Step-by-step explanation:
Simplifying
5x + -2 = 3x + 4
Reorder the terms:
-2 + 5x = 3x + 4
Reorder the terms:
-2 + 5x = 4 + 3x
Solving
-2 + 5x = 4 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-2 + 5x + -3x = 4 + 3x + -3x
Combine like terms: 5x + -3x = 2x
-2 + 2x = 4 + 3x + -3x
Combine like terms: 3x + -3x = 0
-2 + 2x = 4 + 0
-2 + 2x = 4
Add '2' to each side of the equation.
-2 + 2 + 2x = 4 + 2
Combine like terms: -2 + 2 = 0
0 + 2x = 4 + 2
2x = 4 + 2
Combine like terms: 4 + 2 = 6
2x = 6
Divide each side by '2'.
x = 3
Simplifying
x = 3
Which is the interquartile range for the city that has the greater variability in temperature?
Answer:
D. 40
Step-by-step explanation:
The greater the interquartile range of a data set, the greater the variability.
Interquartile range = third quarter (Q3) - first quartile (Q1)
Interquartile range of City A = 70 - 40 = 30
Interquartile range of City B = 80 - 40 = 40.
City B has a greater interquartile range than city A, therefore, City B has the greater variability in temperature, with an interquartile range of 40.
What is the factor to dilate triangle ABC to get A'B'C'? (Write your answer below. Show your work for partial credit.)
Answer:
The Factor is 1.5
Step-by-step explanation:
5.1(which is B'C') divided by 3.4(which is BC) = 1.5
3.6(A'C') divided by divided by 2.4(AC) = 1.5
2.7(A'B') divided by 1.8(AB) = 1.5
Henceforth the factor is 1.5
Plz help for 11 points! And show work plz
Answer:
the correct answer is B.
What is 2/5 divide by 6 and what is the equivalent expression
Answer:
6666666666/100000000000
Step-by-step explanation:
The temperature inside the lab refrigerator is at most 35 Fahrenheit used to represent the temperature in fahrenheit of the refrigerator
Complete question is;
Write inequalities to represent the situations below. The temperature inside the lab refrigerator is no more than 45 °F. Use t to represent the temperature (in °F) of the refrigerator.
Answer:
t ≤ 45 °F
Step-by-step explanation:
We are told to use t to represent the temperature (in °F) of the refrigerator.
We are also told that the temperature inside the lab refrigerator is no more than 45 °F.
For the temperature inside the refrigerator to be no more than 45 °F, it means the temperature should be either less than or equal to 45 °F
Thus means that t is less than or equal to 45 °F.
Thus, it can be represented in terms of inequality as;
t ≤ 45 °F
Answer:
t ≤ 35
Step-by-step explanation:
I took the test, it was right! :)
The average rainfall amounts for two of the world's wettest places are given. Determine which location has the greater average rainfall and by how many inches. Round
to the nearest inch
Kukui (Hawaii): 9,293 millimeters and Melchior (Antartic Peninsula): 47 inches
Click the icon to view a table of English and Metric Equivalents.
Answer: Kukui (Hawaii) has the greater average rainfall than Melchior (Antarctic Peninsula) by 8,099.2 millimetres.
Step-by-step explanation:
Given: The average rainfall amounts for two of the world's wettest places:
Kukui (Hawaii): 9,293 millimetres
Melchior (Antarctic Peninsula): 47 inches
Since 1 inch = 25.4 millimetres
∴ 47 inches = 47 × 25.4 millimetres
= 1193.8 millimetres
i.e. Melchior (Antarctic Peninsula) has 1193.8 millimetres of average rainfall.
Clearly, 9,293 millimetres> 1193.8 millimetres
So, Kukui (Hawaii) has the greater average rainfall .
Difference = 9293 - 1193.8 = 8099.2 millimetres
So Kukui (Hawaii) has the greater average rainfall than Melchior (Antarctic Peninsula) by 8,099.2 millimetres.
Determine the value of x.
40°
(3x + 10)°
Answer:
x = 0
Step-by-step explanation:
x (40 °) ((3 x + 10) °)
40 x (3 x + 10) °^2
Expanded form:
120 x^2 °^2 + 400 x °^2
Roots:
x = -10/3
x = 0
Alternative forms:
40/3 (3 x + 5)^2 °^2 - (1000 °^2)/3
x (120 x °^2 + 400 °^2)
1/810 π^2 x (3 x + 10)
Geometric figure:
Parabola
HOPE I HELPED!
Including a 7% sales tax, an inn charges $147.66 per night. Find the inn’s nightly cost before tax is added.
Find the points of intersection (if any) of the graphs of the equations. Use a graphing utility to check your results. y = - x + 4, y = 4x - 2
Answer:
[tex]x = 1.2[/tex]
See Attachment for Graph
Step-by-step explanation:
Given
[tex]y = -x + 4[/tex]
[tex]y = 4x - 2[/tex]
Required
Determine the point of intersection
To do this, we simply equate both expressions of y
i.e.
[tex]-x + 4 = 4x - 2[/tex]
Solve for x
[tex]-x - 4x = - 2 - 4[/tex]
[tex]-5x = -6[/tex]
Divide through by -5
[tex]x = \frac{-6}{-5}[/tex]
[tex]x = \frac{6}{5}[/tex]
[tex]x = 1.2[/tex]
Hence, the point of intersection is 1.2
what is a constraint in algebra?
Answer:
The constant in an algebraic expression is the number part of the expression for example.. IN 2x 2 is the constant it doesn't change and x is variable it may vary
if f(x)=4x^2-6
find f(3)
Answer:
[tex]f(3)=30[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=4x^2-6[/tex]
To find f(3), substitute 3 for x. Thus:
[tex]f(3)=4(3)^2-6[/tex]
Square:
[tex]f(3)=4(9)-6[/tex]
Multiply:
[tex]f(3)=36-6[/tex]
Subtract:
[tex]f(3)=30[/tex]
And we're done!
Solve: 3(5x - 8) = 6x + 39
Steps to solve:
3(5x - 8) = 6x + 39
~Distribute left side
15x - 24 = 6x + 39
~Add 24 to both sides
15x = 6x + 63
~Subtract 6x to both sides
9x = 63
~Divide 9 to both sides
x = 7
Best of Luck!
Can someone plz help me understand this
Answer:
17
Step-by-step explanation:
c=15×15+8×8
c=225+64
c=289=17
Answer:
The length of the guy wire is 17ft.
Step-by-step explanation:
[tex]c = \sqrt{a^{2}+b^{2} }[/tex]
a = 15ft
b = 8ft
c = [tex]\sqrt{15^{2} + 8^{2} }[/tex]
c = [tex]\sqrt{225 + 64}[/tex]
c = [tex]\sqrt{289}[/tex]
c = 17
The length of the guy wire is 17ft.
QUESTION 4!! MATH PLS HELP ASAP
Answer:
Step-by-step explanation:
There is a relationship between the degree of the polynomial and the number of times its graphed curved changes direction> this change is called turning point which is a point where the graph changes from increasing to decreasing or from decreasing to increasing
A polynomial of n degree will have n-1 turning points
ex: f(x)=x³+3x²+x+1
degree of polynomial is 3, it has 2 turning points (3-1)
A normal distribution has a mean of 186.4 and a standard deviation of 48.9. What percent of data will be greater than 235.3?
Answer:
15.9% of the data will be greater than 235.3.
Step-by-step explanation:
Use a calculator with statistical functions. In this case you'll need the cumulative normal distribution: normcdf(.
Evaluate the following: normcdf(235.3, 10000,186.4, 48.9):
We get: 0.159, or 15.9%
15.9% of the data will be greater than 235.3.
The range of value X > 284.2 of data will be greater than 235.3.
What is a z-score?A Z-Score is a statistical measurement of a score's relationship to the mean in a group of scores.
We know that the upper 2.5% of data would be 97.5% of data.
We will use a z-score formula to solve our given problem.
[tex]\rm z=\dfrac{x-\mu}{\sigma}[/tex]
Where; z = z-score,
x = Random sample score,
[tex]\mu[/tex] = Mean,
[tex]\sigma[/tex] = Standard deviation.
We will use a normal distribution table to find a z-score corresponding to 97.5% area or 0.975.
We can see from the normal distribution table that the z-score corresponding to the area of 0.975 is 1.96.
[tex]\rm 1.96=\dfrac{x-186.4}{48.9}\\\\1.96 \times 48.9 =x-186.4\\\\x = 186.4 +95.84\\\\x=282.84[/tex]
Hence, the range of value X > 284.2 of data will be greater than 235.3.
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( 125 ) - 1/3 can be written as :
a) 5
b) -5
c) 1/5
d) None of these
Answer:125-1/3 can be written as : none of these
100 POINTSSSS!! I AM IN DESPERATE NEED OF HELP! so like help? i am struggling with the part where i make an equation for the blocks. i have a few more problems like this to do, so please give me a full explanation of how you solved it. thank you!!
Numbers 1 and 2 are correct.
Question 3:
We can see in each figure, the number of rows matches the figure amount. For example, figure 1 has 1 row, figure 2 has 2 rows, figure 3 has 3 rows, etc. Another thing we can see is that one block gets added to each column in every figure. If we count starting from 3 and keep adding 1 for each column, we get 22 blocks for one column. In figure 20, there will be 20 rows and 22 columns. We also have to keep in mind that they add 2 extra blocks at the top and bottom that stick out like the ones shown. In total, figure 20 will consist of 442 blocks.
Question 4:
[(2 + f) * (f)] + 2 = b
(2 + f) represents the number of blocks in each column.
(f) represents the number of blocks in each row.
2 represents the two extra blocks in each figure.
Note that f in this equation equals the number of the figure. For example, figure 3 is f = 3
We can test our equation with figure three.
[(2 + f) * (f)] + 2 = b
We have figure three so f = 3. Substitute and solve.
[(2 + 3) * (3)] + 2 = b
[5 * 3] + 2 = b
15 + 2 = b
17 = b
In the example, the number of blocks is 17. Therefore, this equation works for any figure.
Best of Luck!
Answer:
We will see that the number of rows in each figure corresponds to the figure amount. Figure 1 has one row, figure 2 has two rows, figure 3 has three rows, and so on. Another thing we can see is that in each diagram, one block is attached to each column. We get 22 blocks for one column if we count from 3 and keep adding 1 for each column. There will be 20 rows and 22 columns in Figure 20. We must also remember that they add two additional blocks at the top and bottom that protrude like the ones shown. Figure 20 will have a limit of 442 blocks.
4th question:
[(2 + f) * (f)] [(2 + f) * (f)] [(2 + f) 2 + 1 = b
The number of blocks in each column is represented by (2 + f).
The number of blocks in each row is represented by (f).
We will see that the number of rows in each figure corresponds to the figure amount. Figure 1 has one row, figure 2 has two rows, figure 3 has three rows, and so on. Another thing we can see is that in each diagram, one block is attached to each column. We get 22 blocks for one column if we count from 3 and keep adding 1 for each column. There will be 20 rows and 22 columns in Figure 20. We must also remember that they add two additional blocks at the top and bottom that protrude like the ones shown. Figure 20 will have a limit of 442 blocks.
4th question:
[(2 + f) * (f)] [(2 + f) * (f)] [(2 + f) 2 + 1 = b
The number of blocks in each column is represented by (2 + f).
The number of blocks in each row is represented by (f).
David bought a baseball card for $40. the value of the card increased by 25%. what is the new value of the card?
Answer:
50$
Step-by-step explanation:
25 percent more means 1 and 1/4 of original price
aka 5/4
(5/4)(40)
50
OR
1/4 of 40 is 10
10 plus 40 is 50
Answer:
$50Step-by-step explanation:
[tex]Original \:price =\$40\\Percentage\:increase =25\%\\\\\frac{25}{100} \times 40\\\\= \frac{1000}{100} \\\\= \$10\\\\New\:price = \$40 +\$10\\= \$50[/tex]
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 2 1/2 miles. How many inches is that? Please help!
Answer:
158,400
Step-by-step explanation:
х
f(x)
Use the table of values to find the function's values.
If x = 0, then f(0) =
If f(x) = 27, then x =
33
-3 -2
17
0
-15
N
-7
3
27
Answer:
If x = 0, then f(0) = -15
If f(x) = 27, then x = 3
(x^4)^2 please answer I need an A
Answer:
x^8
Step-by-step explanation:
Answer:
[tex]x^8[/tex]
Step-by-step explanation:
[tex](x^4)^2[/tex]
To solve, we will have to multiply [tex](x^4)*(x^4)[/tex] .
[tex](x^4)*(x^4)[/tex]
Now we have to multiply x.
[tex](x*x*x*x)*(x*x*x*x)[/tex]
Let's remove the parenthesis and multiply x all together.
[tex]x*x*x*x*x*x*x*x[/tex]
We multiplied x 8 times so your answer is
[tex]x^8[/tex]
Hope this helps!
Find the slope intercept form for the equation of the line which passes through the point (-5,4) and the origin
Answer:
Step-by-step explanation:
(-5, 4) and (0, 0)
(0 - 4)/(0 + 5) = -4/5
y - 4 = -4/5(x + 5)
y - 4 = -4/5x - 4
y = -4/5x
Answer the descriptions
x - intercepts (zeros)
y-intercept
increasing interval
decreasing interval
constant interval
Maximum
Minimum
Domain
Range
Answer:
x-int: (-1.5, 0) and (3.5, 0)
y-int: (0, 3)
Increasing Interval: [-2, 1)
Decreasing Interval: (1, 4]
Constant Interval: [-4, -2)
Maximum: (1, 5)
Minimum: (4, -1) or (-4, -1) or (-2, -1) or (-3, -1)
Domain: [-4, 4]
Range: [-1, 5]
Step-by-step explanation:
x-intercepts are where the function f(x) crosses the x-axis when y = 0.
y-intercepts are where the function f(x) crosses the y-axis when x = 0.
Increasing interval is the set of x-values in which the graph f(x) increases in y-value.
Decreasing interval is the set of x-values in which the graph f(x) decreases in y-value.
Constant interval is the set of x-values in which the graph f(x) y-values stay constant.
Maximum is the largest y-value function f(x) can output.
Minimum is the smallest y-value function f(x) can output.
Domain is the set of x-values that can be inputted into function f(x).
Range is the set of y-values that can be outputted from function f(x).
What’s the answer Evaluate 2^4
Answer:
[tex]16[/tex]
Step-by-step explanation:
[tex]2^4[/tex]
To solve, you're gonna have to multiply 4 times.
[tex]2*2*2*2[/tex]
[tex](2*4)(2*4)[/tex]
Since [tex]4*2[/tex] is [tex]8[/tex] , you will have to multiply [tex]8[/tex] by [tex]2[/tex].
[tex]8*2=16[/tex]
Your answer is [tex]16[/tex].
Hope this helps!