Answer:
Inequality Form:
X< −1
Interval Notation:
(−∞,−1)
Step-by-step explanation:
Answer:
[tex]x < -1[/tex]
Step-by-step explanation:
First you need to combine the like terms -5x and 2x to get [tex]3 < -3x[/tex]
Then, you need to devide both sides by -3 to get [tex]-1 < x[/tex] , but because the factor is negative, we flip the relation to get [tex]x < -1[/tex]
which number doesn't belong?
21, 18, 16, 7, 6
18, 10, 13, 11, 16
2, 16, 9, 7, 17
11, 16, 4, 8, 2
6, 9, 11, 15, 18
19, 9, 14, 8, 11
Answer:
21
Step-by-step explanation:
Most of the numbers are within the same range. Then you have 21 which is slightly out of range from the next highest 19.
If the standard quota for how many new schools will open in the 5 boroughs are:
Bronx: 20.73
Brooklyn: 10.12
Queens: 35.46
Manhattan 25.16
Staten Island 5.44
Use Jefferson's plan to apportion the Bronx quota.
The apportion of Bronx quota is the alloted profit to Bronx
The apportion for Bronx quota is 20
How to apportion the Bronx quota?The dataset is given as:
Bronx: 20.73Brooklyn: 10.12Queens: 35.46Manhattan 25.16Staten Island 5.44From the dataset, we have:
Bronx: 20.73
Remove the numbers after the decimal point
Bronx = 20
Hence, the apportion for Bronx quota is 20
Read more about quota at:
https://brainly.com/question/1499498
Calculate the following measures:
angle PSQ = 65 (central angle is 130, which means arc PQ is 130, and half of the arc is the inscribed angle)
angle AQS = 35 (congruent to angle SPR)
arc QR = 50 (180-130)
arc RS = 70 (35*2=70)
arc PS = 110 (35*2, making arc SR 70, subtract all arcs from 360 to get 110.
If this helped you, I would appreciate it if you gave me brainliest :D
CAN SOMEBODY HELP ME PLEASE
Answer:
g-intercept: (0, 48)n-intercepts: (6, 0), (-4, 0), (2, 0)Step-by-step explanation:
The g-intercept is the point where the function graph crosses the vertical axis. The value there is g(0). It is found by evaluating the function when n=0.
g(0) = (0 -6)(0 +4)(0 -2) = (-6)(4)(-2) = 48
The g-intercept is (0, 48).
__
The n-intercepts are the points where the function graph crosses the horizontal axis. These are the values of n that make g(n) = 0. For each of the binomial factors, that value of n will be the value that makes the factor 0:
n -6 = 0 ⇒ n = 6
n +4 = 0 ⇒ n = -4
n -2 = 0 ⇒ n = 2
The n-intercepts are (6, 0), (-4, 0), and (2, 0).
Answer:
g intercepts: 48
n intercepts: 6, -4, 2
Step-by-step explanation:
Part 1:
To find the g intercepts, set n to 0 everywhere.
You then get:
g(0) = (-6)*(4)*(-2)
g(0) = 48
Part 2:
To find the n intercepts, set g to 0.
You then get:
(n-6) * (n+4) * (n-2) = 0
Solve for n in each part seperately to find all intercepts:
n-6 = 0 -> n = 6
n+4 = 0 -> n = -4
n-2 = 0 -> n = 2
The mean of the values in a data set is c. If each of the values in the data set
a
were multiplied by 6, what would be the mean of the resulting data?
O A. 5c
O B. 6c
ос. 7с
D. C
Answer:
B 6c.
Step-by-step explanation:
The mean will be c multiplied by 6.
16 PTS AND BRAINLIEST A book store manager took several random surveys of customers to determine which book genre they purchased most frequently. This table shows the average of each survey.
Based on the data shown in the table, which conclusions can be made about the frequency that customers purchase a genre?
Select each correct answer.
On average, 1 out of 6 customers purchases fantasy books most frequently.
On average, 24% of the customers purchase autobiographies most frequently.
On average, 22% of the customers purchase romance books most frequently.
On average, 2 out of 10 customers, purchase health and wellness books most frequently.
Book Genre Average of Surveys
Autobiographies 24
Mystery 11
Romance 22
Health and Wellness 18
Fantasy 15
Answer:
1/6 customer purchase Fantasy, and 2/10 customers purchase Heath and wellness books.
Step-by-step explanation:
Simply check each number of books over the total than see if it matches the percentage assumed.
Fantasy over total books = 15/90 which is 1/6 So that is correct
Autobiographies over total books = 24/90 = 26.6667 percent which is not what this option said, so not correct.
Romance books over total = 22/90 which equals 24.444 percent which is not equal to the 22 percent option, so also not correct.
And lastly Health and wellness books over total = 18/90 which equals to 20 percent. This is equal to 2/10. So this one is also correct.
Hope this helps, and please mark me brainliest!
You invested $5000 for 20 years at 7.25%. How much interest did you earn?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=years\dotfill &20 \end{cases} \\\\\\ I = (5000)(0.0725)(20)\implies I=7250[/tex]
In ΔGHI, the measure of ∠I=90°, IH = 11, HG = 61, and GI = 60. What is the value of the sine of ∠G to the nearest hundredth?
Answer: 0.18
Step-by-step explanation:
Using the sin rule:
11/sin(∠G) = 61/90
sin(∠G) = 11/61
sin(∠G) = 0.18°
Therefore, the value of angle G is 0.18 degrees
What is true about the domain and range of the function?
The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
The domain is all real numbers greater than or equal to
–4, and the range is all real numbers.
The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
The domain is all real numbers greater than or equal to
–4, and the range is all real numbers such that –6 ≤ x ≤ –2.
Answer:
The domain is all real numbers greater than or equal to 4, and the range is all real numbers
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Match each value to what it represents. 25 = 32 1. 32 power 2. 5 exponent 3. 2 base
Answer:
The power is 32 because that is what 2 to th 5 is , 2 is the base as its the number being multiplied 5 times which leaves 2 as the exponent.
i really need help with multiple of these questions if u get them right please help with more (multiple questions )
Answer:
D. 19.25^2
Step-by-step explanation:
A = 5.5
H = 3.5
A = 19.25^2
Right answer = brainliest! :>
The radius of a cylindrical construction pipe is 2.5 ft. If the pipe is 20 ft. long, what is its volume?
Use the value 3.14 for pi, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
Answer: The volume of the pipe is 412 cubic feet
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder = π x radius² x height (Length in this case)
Replacing with the values given:
V = 3.14 (2.5)² 21 = 3.4 (6.25) 21 = 412.12 = 412 cubic feet (rounded)
In conclusion, the volume of the pipe is 412 cubic feet
Feel free to ask for more if needed or if you did not understand something.
Answer:
V = 392.5 cubic feet
Step-by-step explanation:
[tex]v=\pi r^{2} h=\pi (2.5)^{2} (20)=\pi (6.25)(20)=125\pi[/tex]
[tex]\pi =3.14[/tex]
[tex]v=392.5cu.ft[/tex]
Hope this helps
Which equation is a step in solving the equation |5 − 3x| + 2 = 19? A. 5 − 3x = -17 B. |5 + 3x| = 17 C. 5 + 3x = -17 D. |5 − 3x| = -17
Did the math for you.
[tex]|5 - 3x| + 2 = 19\\|5 - 3x| = 17\\(|5 - 3x|) = 17^2\\25 -15x -15x + 9x^2 = 289\\25 - 30x + 9x^2 -289 = 0\\9x^2 - 30x - 264 = 0\\3(x + 4)(3x - 22)[/tex]
3 Which list of integers is in order from
greatest to least?
A 24, 9, -33, -24, -11
B-11, -18, -33, 9, 24
C24, 9, -11, -24, -33
D-33, 24, -18, -11, 9. Which one is the answer
Please help me with this question feedback would be appreciated!
Answer:
3/4
Step-by-step explanation:
There are 13 clubs in a standard 52-card deck
That means that 39 cards out of the 52 are not a club ( because 52-13=39)
So the probability of you not being dealt a club is 39/52 or 3/4
Please help me solve this problem
Answer:
$46,800,000
Step-by-step explanation:
1. Find the total number of shares that Live Fund has. They have 24% of the total shares, which is 78,000. To find their portion of the shares, multiply the total amount by the percent they own; 78,000 * .24. This gives us 18720 shares.
2. Since they are selling half of their shares, divide their total number of shares by 2. This gives us 9360.
3. Each share is worth $5000, so multiply 9360 by 5000. This gives us a final answer of $46,800,000.
Alternatively, we could have just found half of the percent of shares that they own in step 1, so what 12% of 78,000 is instead, and multiplied by 5000.
Nick is painting his bedroom. Each of the four walls measures 10 feet by 14 feet. He will not paint the ceiling. What is the total area that Nick will paint?
Answer:
560 ft^2
Step-by-step explanation:
You need to find the surface area of the walls
wall 1 10*4 = 140
wall 2 10*4 = 140
wall 3 10*4 = 140
wall 4 10*4 = 140
140 +140 +140 +140= 560
system of equations using substitution method
3x+4y=-3 x+2y=-1
Answer:
[tex]{x,y}={-1,0}[/tex]
Step-by-step explanation:
System of Linear Equations entered :
[1] 3x + 4y = -3
[2] x + 2y = -1
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -2y - 1
// Plug this in for variable x in equation [1]
[1] 3•(-2y-1) + 4y = -3
[1] - 2y = 0
// Solve equation [1] for the variable y
[1] 2y = 0
[1] y = 0
// By now we know this much :
x = -2y-1
y = 0
// Use the y value to solve for x
x = -2(0/32765)-1 = -1
Solution :
{x,y} = {-1,0/32765}
Answer:
[tex]\boxed{\sf{x=-1 \quad y=0 \quad (-1,0)}}[/tex]
Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
3x+4y=-3 and x+2y=-1[tex]\Longrightarrow: \sf{3x+4y=-3 \quad x=\dfrac{-3-4y}{3} }[/tex]
You have to substitute.
[tex]:\Longrightarrow \sf{\dfrac{-3-4y}{3}+2y=-1}[/tex]
Solve.
[tex]\sf{\dfrac{-3+2y}{3}=-1}[/tex]
[tex]\sf{\dfrac{-3-4y}{3}}[/tex]
y=0
For y=0.
[tex]\Longrightarrow: \sf{x=\dfrac{-3-4*0}{3}}[/tex]
Solve.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract-3-4*0/3
Multiply.
4*0=0
-3-0
Add/subtract the numbers from left to right.
-3-0=-3
-3/3
Divide.
-3/3=-1
x=-1
Therefore, the final answer is x=-1 and y=0.
I hope this helps. Let me know if you have any questions.
Please help will give brainliest
Answer:
<1=104
<2=76
<3=76
<4=104
<5=104
<6=76
<7=76
<8=104
Step-by-step explanation:
So, the angles are all vertical to the one across it.
That makes <2 to be 76.
76(2)+2(<1)=360,
2(<1)=208
<1=104
You also know that the two lines are parallel, making the ones above/below it equal.
That makes <7 AND <6 to be 76 as well.
If you are given n=504n=504 and p=0.27p=0.27 for a binomial experiment, use the normal distribution to approximate P(x≤119)P(x≤119). Use continuity correction.
Answer:
[tex]X ≤ P(119) \rightarrow P(X < 119.5)[/tex]
Step-by-step explanation:
Given:
n = 504
p = 0.27
To Approximate:
P(x≤119) usimg normal distribution
Solution:
We know that,
[tex]p+q = 1\\q = 1-p\\q = 1 - 0.27 \\ \fbox{q = 0.73}[/tex]
let's find the mean,
[tex]n \cdot p = 500 \times 0.27 \\ n \cdot p = 135 \\ \mu \: = 135[/tex]
let's calculate standard deviation,
[tex] \sigma = \: \sqrt {n \cdot p\cdot q} \\ \sigma \: = \sqrt{504 \times 0.27 \times 0.73} \\ \sigma \: = 9.96[/tex]
Rewriting the equation using continuity correction,
[tex] P(X ≤ n) \rightarrow P(X < n + 0.5) \\ P(X ≤ 119) \rightarrow P(X < 119 + 0.5) \\ P(X ≤ 119) \rightarrow P(X < 119.5) \\ \fbox{x \: = 119.5}[/tex]
Some more things you must need to know,
standard score is an important part of statistics,
can be derived using formula
[tex]Z = \frac{ x - \mu}{ \sigma} \\ Z = \frac{ 119.5 - 135}{ 9.96} \\ Z= \frac{-15.5}{9.96} \\ \fbox{Z= -1.55}[/tex]
Thanks for joining brainly community!
PLEASE HELP MEEEEEEE
Answer: (2,2)
Step-by-step explanation:
find the measure of x,y and z in the figure
Answer:
y=45°
x=75°
z=60°
Step-by-step explanation:
hard to explain, but I'll try my best. on a single line, it equals 180 when both angles are added up. and the opposite side of an angle is always the same.
Find two numbers whose product is 110, and whose sum is 21.
Answer:
10 and 11
[tex]10 \times 11 = 110[/tex]
[tex]10 + 11 = 21[/tex]
Suppose the sales tax in your town is 4%. What are the interpretations of this ratio?
Select all that apply.
DA. You will pay $40 in sales tax for every $1,000 purchase.
B. You will pay $4 in sales tax for every $10 purchase.
c. You will pay 40 cents in sales tax for every $1 purchase.
D. You will pay $4 in sales tax for every $1,000 purchase.
E. You will pay 4 cents in sales tax for every $1 purchase.
F. You will pay $40 in sales tax for every $100 purchase.
G. You will pay 4 cents in sales tax for every $10 purchase.
H. You will pay 40 cents in sales tax for every $10 purchase.
Answer:
A) {DA???} 0.04x1000=40. Yes
B) 0.4x10 is 4, NOT 0.04. No
C)0.4x1 is 0.4, NOT 0.04. No
D) No
E) Yes
F) No
G) Yes
H) No
need help with geometry (number 23)
Answer: D
Step-by-step explanation:
Diagonals of a square are perpendicular, so the measure of angle 1 is 90 degrees.
A local farmer decides to sell his produce at the farmer's market. Every Sunday he uses his own fuel to drive
to the market which is 300km away. This costs him R650.00 per week. He sells 50 boxes of fruit for R250.00
and 100 boxes of fruit for R350.00.
What is the dependent variable in this scenario?
Answer:
The money
Step-by-step explanation:
The drive to the farmers market is a certain distance away, which costs him a specific amount of money. If the distance were to change, then so would the price it took to get there per week. Additionally, as the amount of boxes increases, so does the price.
A dependent variable is a variable that directly changes as the independent variable(s) change. In this scenario, the money, or cost is what's changing based on other factors.
hope this helps :)
The resistance, R, of a wire varies directly as its length
and inversely as the square of its diameter. If the
resistance of a wire 300 ft long with a diameter of
0.09 inches is 17113 ohms what is the resitance of
900 ft of the ame type of wire with a dister of
0.39 inches
Round off your final answer to the nearest hundredth.
Answer:
2733.73
Step-by-step explanation:
[tex]r = \frac{kl}{ {d}^{2} } [/tex]
[tex]17113 = \frac{300k}{ {0.09}^{2} } [/tex]
[tex]k = 0.462[/tex]
[tex]r = \frac{0.462 \times 900}{ {0.39}^{2} } [/tex]
[tex]r = 2733.73[/tex]
[tex]\qquad \qquad \textit{combined proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with }\underline{z^5} \end{array} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}x}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\begin{array}{llll} \textit{\tiny "R" varies directly}\\ \textit{\tiny with "L" and inversely}\\ \textit{\tiny as the square of "d"} \end{array}~~R=\cfrac{kL}{d^2}\qquad \qquad \textit{we also know that} \begin{cases} L=300\\ d=0.09\\ R=17113 \end{cases} \\\\\\ 17113=\cfrac{k(300)}{0.09^2}\implies 17113(0.09^2)=300k \\\\\\ \cfrac{17113(0.09^2)}{300}=k\implies 0.462051 = k~\hfill \boxed{R=\cfrac{0.462051L}{d^2}}[/tex]
[tex]\textit{when L = 900 ft and d = 0.39 in, what is "R"?} \\\\\\ R=\cfrac{0.462051(900)}{0.39^2}\implies R\approx 2734.03[/tex]
keith bought a soft drink for 2 dollars and 6 candy bars. he spent a total of 14 dollars. how much did each candy bar cost?
Answer:
2
Step-by-step explanation:
so if you take away 14 by 2 =12 and 12 divided by 6= 2
Answer:
each candy bar cost 2 dollars
Step-by-step explanation:
if the scale of a map is 1 in = 62.5 mi, how long is the distance on the map if the actual distance between the two cities is 218.75 miles
Answer:
3.5in
Step-by-step explanation:
so what i would do is i would divide 218.75 by 62.5
218.75/62.5= 3.5
3.5 in= 218.75 mi
hope that hepls :)
i need help solving for x. with pythagorean theorem.
Answer:
[tex]14 \sqrt{3} [/tex]
Step-by-step explanation:
Here you use the 30-60-90 triangle
Note that the side length opposite of the 60 degree triangle is root of 3 times greater than the side opposite of the 30 degree angle.
Here, x is the opposite of 60 degree angle.
7 times root of 4 is opposite of the 30 degree angle,
So we have
So this means
[tex]7 \sqrt{4} \times( \sqrt{3} ) = x[/tex]
Note that
[tex]7 \times \sqrt{4} = 7 \times 2 = 14[/tex]
So we have
[tex]14 \sqrt{3} = x[/tex]