PLZ ANSWER WORTH 20 POINTS!! URGENT!
A set of equations is given below: Equation C: y = 3x + 7 Equation D: y = 3x + 2 Which of the following best describes the number of solutions to the given set of equations? (1 point) A. One solution B. Two solutions C. Many solutions D. No solution
Answer:
D. No solution
Step-by-step explanation:
Given
[tex]y = 3x + 7[/tex]
[tex]y = 3x + 2[/tex]
Required
The number of solutions
We have:
[tex]y = 3x + 7[/tex] and [tex]y = 3x + 2[/tex]
Equate both i.e.
[tex]y = y[/tex]
So, we have:
[tex]3x + 7 = 3x + 2[/tex]
Subtract 3x from both sides
[tex]3x -3x + 7 = 3x -3x + 2[/tex]
[tex]7 = 2[/tex]
The above is false
i.e. [tex]7 \ne 2[/tex]
Hence, the system has no solution
Lemon's class recorded the number of pets each student owns in the
frequency table below.
Number Tally
0 ||||| ||
1||||| |||||
2||||| ||
3 ||||| |||
4 |||||
If 2 more students were added to the class and they each own 2 pets
or less, how many total students own 2 pets or less?
Answer:
25
Step-by-step explanation:
Answer:
25 students
Step-by-step explanation:
If you add all tallies 2-0 you find 23... if you add 2 this equals 25.
HELP PLZ! WILL GIVE BRAINLIEST.
The table shows the percentage of users of a data tablet who returned the product to an Internet provider within a year after purchase, after a year, and the reasons for the return.
Answer:
ur answer is correct only
Step-by-step explanation:
mark me brainlist tq
Answer:
dependent events
PLEAS HELP!!! The function f(x) = 500(0.75)^x represents the amount of a 500-mg dose of
medication remaining in a patient's system x number of hours from the time the patient
took the medication. Which percent is the rate of decrease of the medication?
A. 75%
B. 25%
C. 7.5%
D. 2.5%
the answer is b
cccxcxcxcxcxzczczxc
The percentage of the rate of decrease in the medication will be 75%. Option A is correct.
What is an exponential function?The exponential function is characterized as a function that increases quickly and whose value is always positive. With the exponent y = aˣ, where a is the constant and a>1.
It is given that the function is,f(x) = 500(0.75)ˣ. The number x represents the number of hours since the patient took their medication.
f(x) = 500(0.75)ˣ
Compare the function with the standard function as
y=baˣ
Where b is the constant value, a is the percent of the rate of decrement and x is the time period,
The value of a for the given function will be 0.75. The value is in percentage form and can be written as,
=0.75 ₓ 100
=75%
Thus, the medication's rate of decline will be 75%. Option A is correct.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ2
Which of the following statements is INCORRECT?
Answer:
I am kind of sure it is B try it out!
Step-by-step explanation:
finding arc ABC if lines ab, bc, and ac are equal.
Answer:
60
Step-by-step explanation:
If all lines are equal, all angles will also be the same in this equilateral triangle.
Therefore, divide 180/3 to get Angle ABC
im stuck on this savvas realize hw thats due today and i rlly need help
Answer:
3152 cm²
Step-by-step explanation:
Applying,
A = bh+(a+b+c)L................... Euqation 1
Where A = surface area of the triangular prism, a, b, c are the length of the three side of the triangule respectively, L = Length of the prism, h = height of the triangle.
From the question,
Given: a = 25 cm, c = 25 cm, b = 14 cm, h = 24 cm, L = 44 cm
Substitute these values into equation 1
A = 14×24+(25+25+14)44
A = 336+2816
A = 3152 cm²
7,16,30,49,73,?
find next number in series
Let A be the first sequence, and denote by [tex]a_n[/tex] the n-th term in A.
Consider the forward differences of A :
16 - 7 = 9
30 - 16 = 14
49 - 30 = 19
73 - 49 = 24
Call this sequence of first differences B, so that for n ≥ 1,
[tex]b_n=a_{n+1}-a_n[/tex]
where [tex]b_n[/tex] is the n-th term of B.
Now consider the forward differences of B, which is another sequence we'll call C :
14 - 9 = 5
19 - 14 = 5
24 - 19 = 5
Then if [tex]c_n[/tex] is the n-th term of C, we have for all n ≥ 1,
[tex]c_n=b_{n+1}-b_n=5[/tex]
which gives
[tex]b_{n+1} = b_n+5[/tex]
This tells us B is an arithmetic sequence - the first term is 9 and the difference between consecutive terms is 5, so we have for n ≥ 1,
[tex]b_n = 9 + 5(n-1) = 5n + 4[/tex]
Plug this into the recurrence for A :
[tex]a_{n+1} = a_n + b_n = a_n + 5n + 4[/tex]
We don't need to solve for [tex]a_n[/tex], fortunately; we just want the next term, which would be
[tex]a_6 = a_5 + 5^2 + 4 = 73 + 25 + 4 = \boxed{102}[/tex]
Find the area of each circle. Round to the nearest tenth. Use 3.14 for π.
Answer:
1. 490.6 mm²
2. 14.1 ft²
Step-by-step explanation:
1. 3.14×(12.5)²= 3.14 × 156.25 =490.6mm²
2. ½×3.14×3²= 3.14×4.5= 14.1 ft²
use a flowchart to prove if the triangles in each pair of similar. NO LINKS!!!
Answer:
Step-by-step explanation:
Start
<F = <Q Given
<GPF = <RPQ Vertically opposite angles
<FGP = <QRP A triangle has 180 degrees. 2 equal angles means the third pair must be equal
Triangle GPF ~ Triangle RPQ AAA
end
I don't see any way to make these triangles similar except by stating the statement and why it is so. There really are no yes / no choices. If you get another answer, choose it.
20
JL/LE = 90/27 Given
KL /LD = 90/27 Given
<JLK = <DLK Vertically opposite
Are the ratios equal Yes Then is the angle included Yes
Then the triangles are similar.
Are the ratios not equal No then the triangles cannot be similar
Is the angle not included Then similarity cannot be proved.
ΔJLK ≈ ΔDLK Equal Ratios and included angle === similarity
9514 1404 393
Explanation:
19) ∠F ≅ ∠Q; ∠FPG ≅ ∠QPR ⇒ ∆FPG ~ ∆QPR (AA)
__
20) LE/LK = 3/10; ∠ELD ≅ ∠KLJ; LD/LJ = 3/10* ⇒ ∆ELD ~ ∆KLJ (SAS)
* the ratios are the same, hence the sides are proportional
_____
The above format A; B; C ⇒ (similarity statement) (postulate) is intended to be sufficient for you to fill in a flowchart diagram similar to the one attached.
Graduates A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a _ 0.01 to conclude that the population mean debt at graduation is less than $18,000? Assume s _ 2605
16,012 15,784 16,597 18,105 12,665 14,734
17,225 16,953 15,309 15,297 14,437 14,835
13,607 13,374 19,410 18,385 22,312 16,656
20,142 17,821 12,701 22,400 15,730 17,673
18,978 13,661 12,580 14,392 16,000 15,176
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results
Answer:
H0 : μ = 18000
H1 : μ < 18000 - - - > Claim
Test value = - 3.578
Critical value = ±2.58
There is significant evidence to accept the claim that mean debt at graduation is less than $18000
Step-by-step explanation:
H0 : μ = 18000
H1 : μ < 18000
From the data:
Sample size, n = 30
Sample mean, x = 16298.37
The test statistic :
(16298.37 - 18000) ÷ (2605/sqrt(30))
−1701.63 / 475.60575
= - 3.578
The critical value :
Using the standard normal table;
Critical value at α = 0.01
Critical value = ±2.58
Decison region :
|test statistic | > |Critical value | ; reject H0
|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000
What is a decimal? A decimal is a type of fraction in which:
Possible answers:
A. The numerator is always 100
B. The denominator is always 100
C. Denominator is a power of 10
D. Numerator is a power of 10
Answer:
C. Denominator is a power of 10
Step-by-step explanation:
Help I need this A.S.A.P if you get it right I will mark you as brainless
Drag your number to complete the following measures of the data shown in the data box plot down below.
1, 3, 8, 12, 15, 16
Answer:
Minimum: 1
Maximum: 16
Median: 8
First Quartile: 3
Third Quartile: 15
Interquartile range: 12
Step-by-step explanation:
GIVING BRAINLY ASAP PLEASE SOLVE IT SCREEN SHOT DOWN BELOW
Answer:
r = 8°
Step-by-step explanation:
6r - 3 = 45° since we are trying to find r
6(8) - 3 = 45° substitute r for 8 and solve
48 - 3 = 45° r = 8
There are 5 red balls, 3 blue balls and 2 green balls in a box. Suzie takes at random a ball from the box and gives it to her friend. She then takes at random another ball from the box.
What is the question, because this is not complete.
For one month, 500 elementary students kept a daily record of the hours they spent watching television. The average number of hours per week spent watching television was 28. The researchers conducting the study also obtained report cards for each of the students. They found that the students who did well in school tended to spend less time watching television than those students who did poorly. Listed are several possible statements concerning the results of this research. Place a check by every statement that you agree with based on this study.
a. The sample of 500 is too small to permit drawing conclusions about elementary students in general.
b. If a student decreased the amount of time spent watching television, his or her performance in school would improve.
c. Even though students who did well in school watched less television, this doesn't necessarily mean that watching television hurts school performance.
d. One month is not a long enough period of time to estimate how many hours the students really spend watching television.
e. I don't agree with any of these statements.
Answer:
a. The sample of 500 is too small to permit drawing conclusions about elementary students in general.
C. Even though students who did well in school watched less television, this doesn't necessarily mean that watching television hurts school performance.
Step-by-step explanation:
To make inferences about a general population from sample data, we must ensure that the data is considerably large enough and randomized, this is in other to ensure that the sample is representative of the population. Hence, Making conclusion about a very large population such as here, where we want to correlate performance and playing time, a very large sample which should be atleast 10% of the population should be employed. Hence, a sample of 500 ; for making Decison about general elementary students which should run into millions require more samples.
Also Recall that, correlation does not imply causation, The fact that there is a perceives relationship between grade or performance and time spent watching TV does not necessarily mean that poor grade was caused by long duration of hours spent watching television. Other, factors such as, level of intelligence, variation of teachers competence and so on may also be causal factors.
An airline flying to a Midwest destination can sell 20 coach-class tickets per day at a price of $250 and ten business-class tickets per day at a price of $750. It finds that for each $10 decrease in the price of the coach ticket, it will sell four more per day, and for each $50 decrease in the business-class price, it will sell two more per day. What prices should the airline charge for the coach and business-class tickets to maximize revenue? [Hint: Let x be the number of $10 price decreases for coach tickets and y be the number of $50 price decreases for business-class tickets, and use the methods in this example and this example for each type of car.]
Solution :
Let x = number of coach class tickets sold per day on $ 10 reduced price
y = number of the business class tickets sold per day on $ 50 reduced per price.
Number of the coach class tickets sold = 20 per day at a price of $ 250
Number of the business class tickets sold = 10 per day at a price of $ 750
Decrease in the price of coach class tickets by $ 10 increases the number of tickets sold by 4 per day
Decrease in the price of business class tickets by $ 50 increases the number of tickets sold by 2 per day.
Therefore, the coach price, p(x) = 250 - 10x
Business class price, p(y) = 750 - 50y
Coach tickets, q(x) = 2 + 4x
Business class tickets, q(y) = 6 + 2y
Revenue R(x, y) = p(x) q(x) + q(y) q(y)
R(x, y) = (250-10x)(20+4x)+(750-50y)(6+2y)
R(x) = (250-10x)(0.4)+(20+4x)(-10)+0 = 0
1000-40x-200-40x=0
80x = 800
x = 10
R(y) = 0 + (750 - 50y)(0.2) + (6+2y)(-50) = 0
1500 - 100y+(-300-100y) = 0
200 y = 1200
y = 6
P(x) = 250 - 10(10) = $ 150
P(y) = 780-50(6) = $450
q(x) = 20 + 4(10) = 60
q(y) = 6 + 2(6) = 18
Maximum revenue = 150 x 60 + 450 x 18
= 9000 + 8100
= $ 17100
5. How are CIRCLE and CONE different?
Differences:
similraties:
Answer:
a circle is 2d and a cone is 3d and a cone has a circle on the bottom
Step-by-step explanation:
An anthropologist wishes to estimate the average height of men for a certain race of people. If the population standard deviation is assumed to be 2.8 inches and if she randomly samples 100 men, find the probability that the difference between the sample mean and the true population mean will not exceed 0.7 inch. (Round your answer to four decimal places.)
Answer:
The probability that the difference between the sample mean [tex]\bar{x}[/tex] and the true population mean [tex]\mu[/tex] is : [tex]P[|\bar{x}-\mu|\leq0.7]=0.9876[/tex]
Step-by-step explanation:
Given :
Population standard deviation [tex]\sigma=2.8[/tex].
Sample size [tex]n=100[/tex]
The sample mean standard deviation[tex]=\frac{\sigma}{\sqrt{n}}[/tex]
To find :
The probability that the difference between the sample mean [tex]\bar{x}[/tex] and the true population mean [tex]\mu[/tex]
[tex]\because\frac{\sigma}{\sqrt{n}}=\frac{2.8}{\sqrt{100}}=\frac{2.8}{10}=0.28[/tex]
Now, the probability that the difference between the sample mean [tex]\bar{x}[/tex] and the true population mean [tex]\mu[/tex] is :
[tex]P[|\bar{x}-\mu|\leq0.7][/tex], [tex]n[/tex]is large [tex]\Rightarrow \frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}=z[/tex]
[tex]\Rightarrow P[\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}<\frac{0.7}{\frac{\sigma}{\sqrt{n}}}]=P[z<\frac{0.7}{0.28}]=P[z<2.5][/tex]
[tex]\Rightarrow P[z<2.5]=P[-2.5<z<2.5][/tex]
[tex]\Rightarrow P[-2.5<z<2.5]=P[z<2.5]-P[z\leq-2.5]\\\Rightarrow P[z<2.5]-P[z\leq-2.5]=2P[z\leq2.5]-1\\\Rightarrow 2P[z\leq2.5]-1=0.9876[/tex]
Therefore, the probability [tex]P[|\bar{x}-\mu|\leq0.7]=0.9876[/tex]
plwaseeee helppp!! plelalslsllslslz
Answer:
45 degrees
opposite angles are the same so
30+30=60
105+105=210
210+60=270
360-270=90
but since we have 2 angles we divide it by 2
so angle 1 is 45 degrees
hope it helps :)
need help pleaseeeee
Answer:
put all 3 together. so...
8 + 6 + 3 = 17
-35 + (-5) + (-1) = -41
17x - 41 = 180 (how many degrees a triangle has)
+ 41. + 41
17x = 221
÷17. ÷17
x = 13
Which digit in 2.7182 is in the thousandths place?
Answer:
the digit in the thousandths place is the 8
Step-by-step explanation:
Find the slope and the y-intercept of the line. 7x-2y = -10 simplest form
Answer:
7/2 is the slope and 5 is the y-intercept
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
7x-2y=-10
subtract 7x on both sides
-2y=-7x-10
divide by -2 on both sides
y=(7/2)x+5
7/2 is the slope and 5 is the y-intercept.
Solve for the value of s
Answer:
s= 15
Step-by-step explanation:
The entire angle equals 180 degrees.
We already know the value of part of the angle, 37 degrees.
So, subtract 37 from 180. You get 143.
Create an equation: 143=9s+8
Subtract 8 from 143. You get 135.
135=9s
135/9=15
So, s=15
Find the volume of the cone.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Please help asap
Right circular cone
Solve for volume
V≈37.7r (Radius )
2h( Height )
9V=πr2h
3=π·22·93≈37.69911If f(x) = xand g(x) = 2x + 7, what is
f(g(x)] when g(x) = 11?
Answer:
29
Step-by-step explanation:
Since f(x) = x, then where there is x, we will substitute g(x). So since f(x) = x, then f[g(x)] = 2x + 7, since there is only on x.
Now, we substitute the value of x, 2(11) + 7 = 22 + 7 = 29
What is the value of y = 3x -1 when x is equal to 4?
Answer:
11
Step-by-step explanation:
Por mera logica
Answer:
11
Step-by-step explanation:
3 X 4 = 12
12-1 = 11
Order of operations says you multiply first.
The problem tells you that x = 4
multiply 3 and 4= 12
next take the answer and subtract 1 to get 11
2. What is the quotient of -18 divided by (- 1/6)?
A -108
С 3
B -3
D 108
Once simplified, which of the expressions below is equal to −3x−39? Select all that apply.
A) 6(2x–5)–15x–9
B) −3(x+13)
C) 6(23x–5)−7x–9
D) 3x(x–3)
A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base. The base needs to be stronger than the sides, so it costs more. The base costs $9 per f t 2 , while the sides only cost $6 per f t 2 . We wish to find the dimensions of the box that minimize the cost of material used.
Answer:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
Step-by-step explanation:
Given
[tex]Volume = 128ft^3[/tex]
[tex]L = 2W[/tex]
[tex]Base\ Cost = \$9/ft^2[/tex]
[tex]Sides\ Cost = \$6/ft^2[/tex]
Required
The dimension that minimizes the cost
The volume is:
[tex]Volume = LWH[/tex]
This gives:
[tex]128 = LWH[/tex]
Substitute [tex]L = 2W[/tex]
[tex]128 = 2W * WH[/tex]
[tex]128 = 2W^2H[/tex]
Make H the subject
[tex]H = \frac{128}{2W^2}[/tex]
[tex]H = \frac{64}{W^2}[/tex]
The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:
[tex]A = LW + 2(WH + LH)[/tex]
The cost is:
[tex]Cost = 9 * LW + 6 * 2(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12H(W + L)[/tex]
Substitute: [tex]H = \frac{64}{W^2}[/tex] and [tex]L = 2W[/tex]
[tex]Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)[/tex]
[tex]Cost =18W^2 + \frac{768}{W^2}*3W[/tex]
[tex]Cost =18W^2 + \frac{2304}{W}[/tex]
To minimize the cost, we differentiate
[tex]C' =2*18W + -1 * 2304W^{-2}[/tex]
Then set to 0
[tex]2*18W + -1 * 2304W^{-2} =0[/tex]
[tex]36W - 2304W^{-2} =0[/tex]
Rewrite as:
[tex]36W = 2304W^{-2}[/tex]
Divide both sides by W
[tex]36 = 2304W^{-3}[/tex]
Rewrite as:
[tex]36 = \frac{2304}{W^3}[/tex]
Solve for [tex]W^3[/tex]
[tex]W^3 = \frac{2304}{36}[/tex]
[tex]W^3 = 64[/tex]
Take cube roots
[tex]W = 4[/tex]
Recall that:
[tex]L = 2W[/tex]
[tex]L = 2 * 4[/tex]
[tex]L = 8[/tex]
[tex]H = \frac{64}{W^2}[/tex]
[tex]H = \frac{64}{4^2}[/tex]
[tex]H = \frac{64}{16}[/tex]
[tex]H = 4[/tex]
Hence, the dimension that minimizes the cost is:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
