Use the fact that f(x)=sqrt x is increasing on its domain to solve the inequality: sqrt (3x+1) > sqrt (x-5)
Since √(3x+1) and √(x-5) is always positive, you can square out both sides.
[tex] \sqrt{3x + 1} > \sqrt{x - 5} \\ {( \sqrt{3x + 1}) }^{2} > {( \sqrt{x - 5} )}^{2} \\ 3x + 1 > x - 5 \\ 2x > - 6 \\ x > - 3[/tex]
Since substituting x = -2, -1 , ... , 4 into √(3x+1) and √(x-5) will result into complex solutions,
Therefore,
[tex]x > 4[/tex]
Answer:
-3<x≤5
Step-by-step explanation:
√(3x+1)>√(x-5)
Square each one of the square roots. Then create 3 different inequality expressions and solve them/
1. 3x+1>x-5= x>-3
2. 3x+1≥0= x≥-1/3
3. x-5≥0= x≥5
From here I'm going to take the values that cover the most of the area in this expression which should be -3<x≤5.
If a phone company charges $0.45 for the first minute and $0.35 for each additional minute for a long distance call , how much will a 20 minute long distance call cost ?
Answer: $7.10
Step-by-step explanation
1. mutiply 0.35 times 19 = 6.65
2. 0.45+6.65=7.1
It will cost $7.10 for a 20-minute-long-distance call.
have a good day
Answer:
$7.10
Step-by-step explanation:
a class has five students what is the probability that four of the students were born on a weekday
Answer:
0.3718688642
Step-by-step explanation:
Weekdays consist of 5 days and weekends consists of 2 days. ... In case if you do not know, there are 7 days in a week.
The probability of one student who were born on a weekday
= 5/7
The probability of one student who were born on a weekend
= 2/7
This question then can be solved by using the binomial distribution formula,
[tex]P(X = 4) = \binom{5}{4} { (\frac{5}{7}) }^{4} {( \frac{2}{7}) }^{1} \\ = 0.3718688642 [/tex]
I have 10 books, 3 of which are good. If I randomly select a book at random, what's the probability that it is not good?
answer:
the probability of selecting a book that is not good would be:
7/10
Find the value of x.
Answer:
x=60º
Step-by-step explanation:
Answer: x=60º
180º-60º=120º
2x=120º
divide by 2 on both sides
x=60º
Carolyn lives near two parks. Centennial Park is 2 km away and Canatara Park is 2,548 meters away. Canatara Park is located closer to Carolyn. Is this true or false?
True
False
Answer:
it is False
Step-by-step explanation: i also did this test
A company makes electronic components for TV's. 0% pass final inspection. 110 components are inspected in one day. What is the expected value of the number that fails inspection in one day?
a.
0
b.
110
c.
100%
d.
11
Please can you help me please don’t send for me link !
Answer:
C
Step-by-step explanation:
Is {(1,3),(2,4),(3,7),(4,13 )} a function?
Answer:
Yes
Step-by-step explanation:
The X of all the points show that it is a function because none of the X values are repeating.
Round to the nearest ten 3465 695
Answer:
3
Step-by-step explanation:
bec its on the left ......
Venessa has a piggy bank that contains a collection of nickels, pennies, dimes and quarters. She randomly draws a coin out of the
Egy bank, records the result, and then replaces the coin. The results of her draws are shown below.
Based on the results above, predict the number of times a dime would be drawn if Venessa draws a coin 336 times.
A. 58
B. 36
C. 64
D. 38
Answer:
58
Step-by-step explanation:
Coins Number of Drawsnickel 32penny 54dime 13quarter 29Total Number of Draws = 32 + 54 + 13 + 29 = 128Probability of Quarter drawn = 29/128the number of times a quarter would be drawn if Venessa draws a coin 256 times = (29/128) * 256= 29 *2= 58 option B is the right answer
Solve for x. Round to the nearest tenth, if necessary.
U
67
T
x
142°
y
Answer:
74.4 units
Step-by-step explanation:
Angle T = 48 degrees
now use law of sines
67/sin42 = x/sin48
sin48 * 67/sin 42 = 74.4
The low temperature was 35°F. This was 13°F lower than the dayt high temperature. Write an equation to determine whether the high temperature was 48°F or 42°F.
Answer:
48°F
Step-by-step explanation:
Low temperature = 35° F35 = x - 13
35 + 13 = x
48°F = x
whats the difference between-2/3 and-1/4=
Answer:
[tex]-\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3} -(-\frac{1}{4}) =-\frac{2\times4}{3\times4} +\frac{1\times3}{4\times3}[/tex]
[tex]=-\frac{8}{12} +\frac{3}{12}[/tex]
[tex]=\frac{-8+3}{12}[/tex]
[tex]=-\frac{5}{12}[/tex]
A number cube has side lenghts of 1 1/4 inches. What is the volume, in cubic inches, of the number cube?
The diameter of a circle is 13 meters. Complete the description for how you would find the circumference.
Answer:
Step-by-step explanation:Formula
The circumference of a circle is given by C = pi * d
Givens
pi = 3.14
13 is the diameter.
Solution
C = 3.14 * 13
Answer: C = 40.82
Answer for the blanks.
pida)find the value of angle x
b) work out the value of angle y
The value of X is 69 while value of y is also 69
An above-ground garden is in the shape of a rectangular prism measuring 6 feet by 13 feet by 4 feet. The soil costs $1.70 per cubic foot. How much will it cost to fill the above -ground garden fully?
The cost of filling the rectangular prism with sand is $530.4
Volume of PrismGiven Data
Length of prism = 6 feetWidth = 13 feetHeight = 4 feetCost per cubic foot = $1.70Volume of Prism = Length*Width*Height
Volume = 6*13*4
Volume = 312 cubic feet
If 1 cubic feet cost $1.70
312 cubic feet will cost x
x = 1.70*312
x = $530.4
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Which of the following types of reproduction involve the cell cycle
Budding
Binary fission
Spore Formation
Jordan's bathroom floor has been decorated with purple and white tiles.
The ratio of purple tiles to white tiles is (2x + 1): (4x + 13)
If of the tiles are purple, work out the value of x.
Using proportions, supposing that 30% of the tiles are purple, it is found that the value of x is of x = 16.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the ratio of purple tiles to white tiles is given by:
[tex]\frac{2x + 1}{4x + 13}[/tex]
We consider that 30% of the tiles are purple, hence 70% are white, which means that:
[tex]\frac{2x + 1}{4x + 13} = \frac{3}{7}[/tex]
Applying cross multiplication:
14x + 7 = 12x + 39
2x = 32
x = 16.
The value of x is of x = 16.
More can be learned about proportions at https://brainly.com/question/24372153
Mary knits scarves and sweaters to sell. Scarves take 2 hours to knit and sweaters
take 10 hours. Mary would like to spend no more than 40 hours per week knitting
and knit at least 5 items per week.
What are two possible solutions she could knit based on this word problem?
(Select the 2 correct options.)
A. 3 scarves and 4 sweaters
B. 6 scarves and 3 sweaters
C. 10 scarves and 1 sweater
D. 2 scarves and 2 sweaters
Answer:
c and d
reason:
they dont go over 40 hours
if there are nine students in the class and the three students decided to work together what portion of the wall would they use all together
Answer:
a third
Step-by-step explanation:
Based only on the information given in the diagram, it is guaranteed that
ARST - AUVW
5
067
R
Л
w
A. True
B. False
Answer: True
Step-by-step explanation:
There are two pairs of congruent angles, meaning the triangles are similar by AA.
It is true that based on the given information triangle RST is similar to triangle UVW by the AA similarity postulate.
What are Similar triangles?Similar triangles are triangles that have the same shape but are different in size. More specifically, two triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion.
Here,
Since a figure is given with two triangles, RST and UVW.
From the figure, we can see that there are two angles that are equal, are given as;
∠R=∠U [measure is 67°]
∠T=∠W [measure is 90°]
Thus, it is true that based on the given information triangle RST is similar to triangle UVW by AA similarity postulate.
Learn more about similar triangles here:
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The times taken to assemble a clock at a factory are approximately normally distributed with a given mean Mu = 3 hr and standard deviation Sigma = 0.5 hr. What percentage of the times are between 2 hr and 4 hr?
34%
47.5%
68%
95%
Answer:
It's D) 95%
Step-by-step explanation:
It's the correct answer
The percentage of the times are between 2 hours and 4 hours is 45.5%.
What is standard deviation?Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.
Given that, μ=3 hour, σ=0.5 and x1=2 hours and x2=4 hours.
We know that, Z=(x-μ)/σ
Here, Z1=(2-3)/0.5
Z1=-2 = -0.2275
Z2=(4-3)/0.5
Z2=2 = 0.2275
= 0.2275-(-0.2275)
= 0.2275+0.2275
= 0.455
= 45.5%
Therefore, the percentage of the times are between 2 hours and 4 hours is 45.5%.
Learn more about the standard deviation visit:
brainly.com/question/13905583.
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solve this sum in B,O,D,M,A,S formula.
1. 21 -12 ÷ 4 -3 ×(-7)
2. 30 -{8÷(2×3-4)
explain with using formula
Answer:
2. 26
Step-by-step explanation:
start with the brackets with 2×3-4 get the answer as 2 then divide 8 by the answer then subtract the answer you've got from 30
Anny is not a very good driver, so she drives really slow. She normally drives at a speed of 50 miles per hour if it is not raining, and 30 miles per hour if it is raining. Today she drove in the sun in the morning and in the rain in the afternoon, for a total of 120 miles in 180 minutes. How many minutes did she drive in the rain?
Answer:
9.1s
Step-by-step explanation:
Since we know that velocity is uniformly decelerating, we can take the average velocity: Letting Vf equale 0 /ms, we get 1/2 21.8ms or 10.9ms. Now we know V = D/T and rearranging this gives T = D/V. Substitute our velocity of 10.9m/s for V and 99m for D: T = 99m/ 10.9ms. finally we get T = 9.1s
Hope This Helps :)
The time in which Anny drives in the rain is 90 minutes. This is calculated by using the speed-distance-time formula.
Relationship between distance, time, and speed:Speed is the ratio of distance traveled to the time taken for traveling.
Speed=distance/time
Unit: m/s
Given data:It is given that,
Anny drives at a speed of 50 miles per hour if it is not raining and drives at a speed of 30 miles per hour.
Today she drove in the sun in the morning and the rain in the afternoon, for a total of 120 miles in 180 minutes.
Calculation:Consider x be the time required to drive not in the rain and y be the time required to drive in the rain
So, the distance covered (not in the rain) = 50x (since the speed is 50 mile/h), and the distance covered (in the rain) =30y (since the speed is 30 miles/h)
Therefore, the total distance covered both in rain and without rain is:
50x+30y=120 (since the total distance she drove is 120 miles)
And the total time required for driving in rain and without rain is:
x + y=3 (since 180 minute = 3 hours)
On solving the above equations we get,
x=[tex]\frac{3}{2}[/tex] and y=[tex]\frac{3}{2}[/tex]
Then,
y=[tex]\frac{3}{2}[/tex]×60(minute)=90 minute
Therefore, the time taken for her to drive in rain is 90 minutes.
Refer to more distance-related problems here:
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Henry stores the arrowheads he has found in a box the shape of a rectangular prism. The box is 14 inches long, 12 inches wide, and 2 inches high. He plans to paint the exterior of the box. How many square inches does he have to paint?
Pls help it would be very helpful
Answer:
272 square inches
Step-by-step explanation:
Find the surface area
Surface area =
12 * 2 + 12 * 2, (front & back sides)
14 * 2 + 14 * 2, (right & left sides)
12 * 14, (bottom)
24 + 24 + 28 + 28 + 168
48 + 56 + 168
= 272
Help will give thanks to the first to answer
Answer: 16
Step-by-step explanation: substitute 5 for y. 5 squared is 5 times 5 which is 25 and 3 times 5 is fifteen. 25 minus 15 is 10 plus 6 is 16. :)
Sarah is demonstraing the idea that polynomials are closed under addition. Her work and explanation are shown.
Select an equation and phrases to complete the statement.
Part A:
Add 30° +63 7 to
Equation A 223 - (2x)2 + 42-1
Equation B (2x)? +4. 4. - 9
Equation C (-8x)2 – (3x)3 +7
Part B:
This is closed because
of the sum are
and the sum is a polynomial.
It takes 27N of work to push a crate up a ramp to a dock. The ramp is 3 meters long. How much force is necessary?
PLEASE HELP
Answer:
Solution:
Given,
Work = 27 N
Displacement = 3 m
According to question,
Force = ?
As we know,
Work = Force × Displacement
or, 27 = Force × 3
or, Force = 27/3
i.e, Force = 9 N
Which of the following logarithmic equations is equivalent to the exponential
equation below?
e^x = 15.29
Answer:
Step-by-step explanation:
Natural log and the number 'e' are inverse to each other. Therefore, if you take the natural log of both sides, the exponential cancels and leaves 'x' isolated:
[tex]ln(e^x)=ln(15.29)[/tex]
[tex]x=ln(15.29)[/tex]
Let's solve for x
e^x=15.29So natural logarithm on both sides
[tex]\\ \rm\Rrightarrow x=ln(15.29)[/tex]
[tex]\\ \rm\Rrightarrow x=2.73[/tex]