Answer:
The answer to the union of the two sets is: [tex]x\leq -3[/tex]
Step-by-step explanation:
Since they are asking for an "OR" condition, we need to find the set of solutions for each inequality, and then use the union of those two sets.
First inequality:
[tex]-7x+1\geq 22\\1-22\geq 7x\\-21\geq 7x\\-3\geq x\\x\leq -3[/tex]
so this is the set of all real numbers smaller than or equal to -3 (visualize the numbers on the number line to the left of -3 and including -3 itself)
Second inequality:
[tex]-10x+41\geq 81\\41-81\geq 10x\\-40\geq 10x\\-4\geq x\\x\leq -4[/tex]
So, this sets consists of all real numbers smaller than or equal to -4 (visualize the numbers on the number line to the left of -4 and including -4 itself.
Then, when we do the union of these two sets, we get:
[tex]x\leq -3[/tex]
since the number -4 is located to the left of -3 on the number line, so the set defined by the second inequality is in fact a subset of the one defined by the first inequality.
The function f(x) = 2x is vertically translated 5 units down and then reflected across the y-axis. What's the new function of g(x)?
A. g(x) = 2x-5
B.g(x) = -2x - 5
C. 9(x) = 2x
D. 9(x) = -2x + 5
Answer:
A
Step-by-step explanation:
A computer tallied the time to work for 200 days and found it reasonable to normal curve. The main Thomas 35 minutes, and the standard deviation with six minutes. For the 200 workday experiment, find the percent of tonic me to work more than 41 minutes.
Answer:
The probability that computers work more than 41 minutes is 0.15866 or 15.87%.
Step-by-step explanation:
We are given that a computer tallied the time to work for 200 days and found it reasonable to the normal curve. The mean is 35 minutes, and the standard deviation with six minutes.
Let X = the time taken by computer to work for 200 days.
So, X ~ Normal([tex]\mu=35, \sigma^{2} =6^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean time = 35 minutes
[tex]\sigma[/tex] = standard deviation = 6 minutes
Now, the probability that computers work more than 41 minutes is given by = P(X > 41 minutes)
P(X > 41 minutes) = P( [tex]\frac{X-\mu}{\sigma }[/tex] > [tex]\frac{41-35}{6 }[/tex] ) = P(Z > 1) = 1 - P(Z [tex]\leq[/tex] 1)
= 1 - 0.84134 = 0.15866
The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.84134.
Select the correct answer from each drop-down menu. At a business conference, there were 10 social workers, 16 doctors, 5 lawyers, and 2 journalists. If a person is picked at random from the entire group, it is to be/likely/unlikey/niether. be a lawyer, and it is to be a doctor.
Answer:
If a person is picked at random from the entire group, it is
unlikely
to be a lawyer, and it is.....
Unlikely was right but likely was wrong
Step-by-step explanation:
I honestly don't know the answer and that the person above me makes no sense.
he said "If a person is picked at random from the entire group, it is
unlikely
to be a lawyer, and it is.....
Unlikely was right but likely was wrong
WHAT IS THE ANSWER TO THE DOCTOR PART???
Line
A.
C.
D.
B.
Defined
Postulates
Theorems
Undefined
Terms
Answer: Undefined
Step-by-step explanation:
In geometry there are three undefined terms that we use to define other terms:
Point → In geometry a point has a location but no dimension.Plane → A plane extends is a 2-dimensional surface that extends infinitely on both sides. Line → A line is a one-dimensional undefined figure that extends infinitely in both the directions. It has length but has no width.Hence, the correct option is "Undefined".
Please help
simplify the expression
a²b⁴-b²a⁴/ab(a+b)
Answer:
ab² - a²b
Step-by-step explanation:
a²b⁴ - b²a⁴ can be factored as a²b²(b² - a²) which becomes a²b²(b + a)(b - a). Since the numerator and denominator both have (a + b) and ab the final answer is ab(b - a) = ab² - a²b.
Please help! I will mark you the brainliest! In rectangle shown B and F are midpoints of AC and AE, respectively. Find the ratio of the area of quadrilateral ABDF to the area of the rectangle.
Answer:
The awnser is 50:100 or simplified 1:2
Step-by-step explanation:
The ratio of ABDF is exactly half of ACDE since F is the midpoint of AE and B is the midpoint of AC
The temperature at noon is -4 degrees Celsius. The temperature at 6:00pm is -12 degrees Celsius. What is the difference between the noon and the 6:00pm temperatures?
Answer: -8 degrees
Step-by-step explanation: 12-4 is 8 so the difference is -8
umm i dont know why i am getting a different answer from the ones that are listed plz help
Answer:
A. 5 : 3
Step-by-step explanation:
Number of blue cups : Number of red cups
10 : 6
Divide to the lowest terms
10 ÷ 2 : 6 ÷2
5 : 3
Answer:
The answer is A
Step-by-step explanation:
The ratio of blue cups to red cups is 10:6 you can figure this out by counting how many blue cups there are and how many red cups there are.
Now that you have your ratio of 10:6 which means for every 10 blue cups there will be 6 red cups. You can work with this and find equivalent ratios by multiplying or dividing. In this case you would have to divide in half to find the ratio 5:3
Hope this helps!
Which of the following is a true proportion of the figure based on the triangle proportionality theorem? Question 13 options: A) ab=ba B) cd=ab C) db=ac D) cb=ab
Answer:
i think A
plz correct me
Step-by-step explanation:
Two kinds of fish can be found in a small tank. The blue fish is two fifthteenths feet long and the orange fish is seven tenths feet long. How much longer is the orange fish?
Answer:17/30
Step-by-step explanation:
You have 2/15 and 7/10. You have to find a common denominator. I used 30. Multiply 2/15 by 2/2 and 7/10 by 3/3 to get 4/30 and 21/30. Then solve this equation: 21/30-4/30. The answer is the answer to the problem.
The Goodsmell perfume producing company has a new line of perfume and is
designing a new bottle for it. Because of the expense of the glass required to
make the bottle, the surface area must be less than 150 cm2. The company also
wants the bottle to hold at least 100mL of perfume. The design under
consideration is in the shape of a cylinder.
Determine the maximum volume possible for a cylindrical bottle that has a total
surface area of less than 150 cm2. Determine the volume to the nearest 10mL.
Report the dimensions of the bottle and the corresponding surface area and
volume.
PLEASE WILL MARK BRAINLIEST
Given:
It is given that surface area must be less than 150 cm².
Solution:
The Maximum Volume With Total Surface Area Less than 150 cm² is shown in the table.
From the table, it can be concluded that for r=3.00 cm and h=4.95 cm the surface area will be less than 150 cm² and the volume will be the maximum.
[tex]S=2\pi rh+2\pi r^2\\S=2\pi (3)(7.95)+2\pi3^2\\S=93.3+56.5\\S=149.8 \text{ cm}^2[/tex]
Calculate the volume.
[tex]V=\pi r^2h\\V=\pi(3)^2(4.95)\\V=139.96[/tex]
Hence, the required dimensions are r=3.00 cm and h=4.95 cm.
What is the value of log,(5)1252
3
5
15
25
which statement correctly describes the angle bisector construction shown below
Answer:
1 is c, 2 is d
Step-by-step explanation:
because thats the right answer ur welcome
Question 1 - Part A
Maria is bringing her sick dog Pedro in for a series of appointments at the
veterinary clinic. Her total cost over the course of treatment will be $150 for testsand medicine plus $30 per appointment, a.
Part A
Write an equation to show the total cost, t, she will owe.
Part C
what will be maria’s total discounted cost if pedro’s treatment requires three veterinary appointments?
Answer:
A and C
Step-by-step explanation:
Part A
150+30x, x being the amount of visits she takes
Part C
150+30(3)
150+90
240
$240
whats 4x^(3)-12x^(2)-16x factored? pls explain too! i give brainliest
Answer:
4x(x-4)(x+1)
Step-by-step explanation:
Please see the picture.
Write ln (4∕9) in terms of ln 2 and ln 3. Question 13 options: A) 3(ln 2 – ln 3) B) 2ln 2 – 2ln 3 C) 4ln 2 – 4ln 3 D) ln2 2 – 4ln 3
Answer:
The answer is option B
Step-by-step explanation:
2ln 2 - 2ln3
= ln ( 2²/3²)
= ln (4/9)
Hope this helps you
Answer:
B) 2ln 2 – 2ln 3
Step-by-step explanation:
What is the area, in square centimeters of the trapezoid below?
Answer:
68.8cm^2
Step-by-step explanation:
A trapezoid=h/2(b1+b2)
A trapezoid=6.4/2(12.9+8.6)
A trapezoid=3.2(21.5)
A trapezoid=68.8cm^2
PLZ ANSWER If the graph of the equation y=(x+2)^2 is reflected with respect to the y-axis, what is the equation of the resulting graph?
Answer:
y=(x-2)^2
Step-by-step explanation:
just simply change the sign.
Mark can dig a ditch in 4 hours. Greg can dig the same ditch in 3 hours. How long would it take them to dig it together?
Answer:
1 hour and 43 minutes
Step-by-step explanation:
Add both of theyre work hours together you get 3/12 and 4/12
Then you add both 3/12 4/12
You get 7/12
They complete the job 12/7 hours =1 5/7 (1 hour 43minutes)
Answer:
1 5/7
Step-by-step explanation:
Need help combining like terms!! PLS
Answer:
1 - 9/7n
Explanation:
1/7 - 3(3/7n - 2/7)
distribute the 3 with the 2 fractions inside the parenthesis
1/7 - 9/7n + 6/7
add like terms (1/7 + 6/7)
7/7 - 9/7n
or
1 - 9/7n
Answer:
1 -9 sevenths n
step-by-step explanation:
Find the value of 3[tex]\sqrt{x}[/tex] + 7 if x = 25.
Answer:
The answer is
22Step-by-step explanation:
3√x + 7
x = 25
Substitute the value of x into the expression
That's
3(√25) + 7
√25 = 5
So we have
3(5) + 7
= 15 + 7
= 22Hope this helps you
Answer:
22
Step-by-step explanation:
3 + 7 if x = 25.
3/25+7
3x5+7 multiply
15+7 calculate
solution =22
got it right on the test!
Image attached: some sort of triangle stuff
Answer:
C
Step-by-step explanation:
On edg 2020
What is the value of the expression *picture attached*
Answer:
[tex]12(3 + 4 + 5 + ...... + 12 + 13) = 1056[/tex]
Step-by-step explanation:
Given:
The attached
Required
Find the value of the expression
The interpretation of is to add the sequence: 12n
where n = from 3 to 13
Solving the for each term of the sequence
[tex]When\ n = 3, 12n = 12(3)[/tex]
[tex]When\ n = 4, 12n = 12(4)[/tex]
[tex]When\ n = 5, 12n = 12(5)[/tex]
....................
...........
...
.
[tex]When\ n = 12, 12n = 12(12)[/tex]
[tex]When\ n = 13, 12n = 12(13)[/tex]
The sum is then calculated as follows;
[tex]Sum = 12(3) + 12(4) + 12(4) + ...... + 12(12) + 12(13)[/tex]
12 is a common factor;
Hence;
[tex]Sum = 12(3 + 4 + 5 + ...... + 12 + 13)[/tex]
Replace ....... with actual numbers
[tex]Sum = 12(3 + 4 + 5 +6 + 7 + 8 + 9 + 10 + 11 + 12 + 13)[/tex]
[tex]Sum = 12(88)[/tex]
[tex]Sum = 1056[/tex]
Hence;
[tex]12(3 + 4 + 5 + ...... + 12 + 13) = 1056[/tex]
From the list of given options;
Option B is correct
[tex]12(3 + 4 + 5 + ...... + 12 + 13) = 1056[/tex]
Write an algebraic equation to match each graph. (These graphs are not drawn to scale!) please help! i will make brainliest answer if correct!
Answer:
the expression of this function is:
[tex]f(x)=|x-1|-1[/tex]
Step-by-step explanation:
This graph corresponds to an absolute value function, which as you can see has the minimum (vertex) at the point (1, -1) on the plane, and also that goes through the origin of coordinates (0, 0)
therefore, notice that from the point (0, 0) to (1, -1) there is a slope of "-1" which is going to characterize the steepness of the x- variable that resides inside the absolute value function. since the vertex has also moved from the characteristic (0, 0) in the function:
[tex]f(x)=|x|[/tex]
then we have to include a horizontal shift to the right in one unit (by subtracting 1 units from x), and a vertical shift downwards one unit (by subtracting 1 from the full absolute value expression) in order to shift the vertex to the position (1, -1):
[tex]f(x)=|x-1|-1[/tex]
HEYY! REALLY SIMPLE QUESTION : ) …..the strange creature moved slowly making terrifying sounds. It looked around…. (Write a story using the following cues somewhere in the story) I JUST NEED SUM IDEAS PLS : ) also ik this is not a math question but oh well I guess..... THANK U!
Answer:
so u could write about its teeth
Step-by-step explanation:
and its legs or its scary presence or its long arms and it erupted from a haunted house
hope this helps : )
i would appreciate it if you can heart and like this answer and maybe even give it 5 stars or brainliest
2. Determine which of the following angle measures are correct. Select two that apply.
60°
Answer:
B,MJAB=115°
D,mCBA=55°
Step-by-step explanation:
Use DeMoivre's Theorem to find the following. Write your answer in
standard form.
Answer:
Option C.
Step-by-step explanation:
The given expression is
[tex]\left(\sqrt{2}cis \dfrac{9\pi}{20}\right)^5[/tex]
It can be rewritten as
[tex]\left(\sqrt{2}\cos \dfrac{9\pi}{20}+i\sin\dfrac{9\pi}{20}\right)^5[/tex]
According to De moivre's Theorem:
[tex][r(\cos\theta+i\sin \theta)]^n=r^n(\cos n\theta +i\sin n\theta)[/tex]
Using De moivre's Theorem, we get
[tex](\sqrt{2})^5\left(\cos \dfrac{9\pi\times 5}{20}+i\sin\dfrac{9\pi\times 5}{20}\right)[/tex]
[tex]=4\sqrt{2}\left(\cos \dfrac{9\pi}{4}+i\sin\dfrac{9\pi}{4}\right)[/tex]
[tex]=4\sqrt{2}\left(\cos (2\pi +\dfrac{\pi}{4})+i\sin (2\pi+\dfrac{\pi}{4})\right)[/tex]
[tex]=4\sqrt{2}\left(\cos \dfrac{\pi}{4}+i\sin \dfrac{\pi}{4}\right)[/tex]
[tex]=4\sqrt{2}\left(\dfrac{1}{\sqrt{2}}+i\dfrac{1}{\sqrt{2}}\right)[/tex]
[tex]=4+4i[/tex]
Therefore, the correct option is C.
Triangle DEF will be rotated 180° clockwise. Where will D’ be located?
a. (4, -7)
b. (-4, -7)
c. (-7, 4)
d. (-7, -4)
Answer:
a. (4, -7)
Step-by-step explanation:
Point D is at (-4,7).
Rule for a 180° rotation clockwise around the origin:
[tex](x,y)\rightarrow(-x,-y)[/tex]
Apply the rule to point D:
[tex](-4,7)\rightarrow(4,-7)\\\\\left \{ {{-4*-1=4} \atop {7*-1=-7}} \right.[/tex]
Option A should be the correct answer.
Brainilest Appreciated.
Answer:
a. (4, -7)
Step-by-step explanation:
In the circle below, O is the center, MP is a diameter, and m angle POL = 85º. Find the measure of LNP.
Answer:170
Step-by-step explanation:
The measure of angle LNP is 275 degrees.
What is the inscribed angle theorem?The inscribed angle theorem says that an inscribed angle is half the intercepted arc measure.
In the circle below, O is the center, MP is the diameter, and mangle POL = 85º.
The measure of angle LNP is determined in the following steps given below.
[tex]\rm \angle LNP=360-\angle POL\\\\ \angle LNP=360-85\\\\ \angle LNP=275[/tex]
Hence, the measure of angle LNP is 275 degrees.
Learn more about the inscribed angle theorem here;
https://brainly.com/question/21506400
#SPJ2
15-[4-3(2-4)]
What is the answer
Answer:
5
Step-by-step explanation:
1. 15-[4-3*(-2)]
2.15-[4+6]
3.15-10
4.5