√3r +5> 1
Please help solve
Answers
The solution to the inequality √3r + 5 > 1 is r > 16/3.
To solve the inequality √3r + 5 > 1, we can follow these steps:
Subtract 5 from both sides of the inequality:
√3r + 5 - 5 > 1 - 5
√3r > -4
Square both sides of the inequality to eliminate the square root:
(√3r)^2 > (-4)^2
3r > 16
Divide both sides of the inequality by 3 to solve for r:
(3r)/3 > 16/3
r > 16/3
Therefore, the solution to the inequality √3r + 5 > 1 is r > 16/3.
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Related Questions
Given: AOB is a right angle
Prove: mBOC = 90°
O
B
Since
AOB is a right angle, it is 90°. AOB is supplementary to BOC,
so m AOB + m BOC = 180°. By the substitution property of equality,
90 + m BOC = 180°. Applying the subtraction property of equality,
m BOC = 90%.
What statement is missing from the proof?
Answers
The missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
How to find vertically opposite angles?We want to prove that m∠BOC = 90°.
We are given that m∠AOB is a right angle triangle. Thus;
m∠BOC must also be equal to 90°
Now, since m∠BOC and m∠AOB are right angles, then it means that we must equally say that m∠DOA and m∠BOC are vertical opposite angles and they are as such equal.
Thus, the missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
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Dividing fractions word problem,
I need your help, yes you!
Answers
Answer: 2
Step-by-step explanation:
Answer:
I think it's 2kg
Step-by-step explanation:
13/5 ÷ 13/10
Reciprocate
13/5 × 10/13
= 26/13
=2kg
Kelly currently has a checking account balance of $172.14. She makes a deposit of $27.45, and then spends $17.89 on dinner. How much money does she have now? *
Answers
Answer:
126.8 Hope this helps
1 1/2 + 3 2/3 + 2/3 equals what?
Answers
Answer: 35/6 or 5 and 5/6
Step-by-step explanation:
Answer:
35/6
Step-by-step explanation:
5. A function fis given by f(x) = 4x3 + - 3,x+ 0.(a) Write down the derivative off.(b) Find the point on the graph off at which the gradient of the tangent is equal to 6.
Answers
ANSWER :
a. The derivative is :
\(f^{\prime}(x)=12x^{2}-\frac{6}{x^{3}}\)b. The point on the graph is (1, 4)
EXPLANATION :
From the problem, we have the function :
\(f(x)=4x^3+\frac{3}{x^2}-3\)a. The derivative will be :
\(\begin{gathered} f^{\prime}(x)=3(4x^2)+(-2)(\frac{3}{x^3}) \\ f^{\prime}(x)=12x^2-\frac{6}{x^3} \end{gathered}\)b. The gradient of the tangent is also the derivative which is f'(x)
So we need to find the point in which f'(x) = 6
That will be :
\(\begin{gathered} 6=12x^2-\frac{6}{x^3} \\ \text{ Multiply both sides by x\textasciicircum3} \\ 6x^3=12x^5-6 \\ \text{ Divide both sides by 6} \\ x^3=2x^5-1 \\ x^3-2x^5=-1 \\ 2x^5-x^3=1 \\ x^3(2x^2-1)=1 \end{gathered}\)Equate both factors to 1 :
\(\begin{gathered} x^3=1 \\ x=1 \\ \\ 2x^2-1=1 \\ 2x^2=2 \\ x^2=1 \\ x=1 \end{gathered}\)So we have x = 1
Substitute x = 1 to the original function :
\(\begin{gathered} f(1)=4(1)^3+\frac{3}{(1)^2}-3 \\ f(1)=4+3-3 \\ f(1)=4 \end{gathered}\)Therefore the point is (1, 4)
Which of the following are solutions to the equation below?
Check all that apply.
9x^2- 6x + 1 = 7
Answers
The answer is C and D
First we must make one side of the equation zero, so we subtract 7 on both sides of the equation, making the equation 9x^2 - 6x - 6 = 0
Then we will use the quadratic formula to find the answers.
using the Quadratic Formula where:
a = 9, b = -6, and c = -6
and the formula is 6 +- \(\sqrt{6^{2} } -4 (9)(6) /2 (9)\)
A ball pit contains 190 balls.
50 are orange, 100 are purple and 40 are yellow.
What is the ratio of yellow to purple balls in its simplest form?
Answers
Step-by-step explanation:
40 :100 yellow to purple, divide both sides by 20
2:5
Answer:
the ratio of yellow to purple is 40:100 that is 2:5 in the simplest form.
Step-by-step explanation:
Hope it helps.
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/IEnaK9Mnw3ftGn7VoWymvKjzqCukNTp6.png)
Answers
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
help pls pls pls pls pls pls pls pls
Answers
A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
Answers
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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Solve 3exponent3-2=9
Answers
Answer: No solution. 27=9
❗If f(x) = 5 x -4, then what is the value of f(7)?❗
Answers
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answers
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
What is -6+x-3 if x=2
Answers
Answer:
-7Step-by-step explanation:
\(-6+x-3 \\x =2\\\\-6+2-3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\-6+2=-4\\\\=-4-3\\\\=-7\)
Answer:
-7
Step-by-step explanation:
So we have the expression:
\(-6+x-3\)
And we want to evaluate it when x is 2.
So, substitute in 2 for x:
\(=-6+(2)-3\)
Add the first two terms:
\(=-4-3\)
Subtract:
\(=-7\)
And that's our answer :)
Look at the black points on the graph. Fill in the
missing coordinates for y = 2^x.
(0,_) and (_,32)
Answers
Answer:
(0,1) and (5,32)
Step-by-step explanation:
Edg.2020
Answer:
Step-by-step explanation:
Two hungry football players ordered lasagna and salad. The first order 3 pieces of lasagna and two salads and spent $17.63. The second orders four pieces of lasagna and one order of side salad and spent $18.69. How much would five pieces of lasagna and 3 salads cost?
Answers
Based on simultaneous equations, five pieces of lasagna and 3 salads would cost $28.42.
What are simultaneous equations?Simultaneous equations are two or more equations solved simultaneously or concurrently.
Simultaneous equations are also known as a system of equations.
Lasagna Salads Total Costs
The first order 3 2 $17.63
The second order 4 1 $18.69
Let the unit cost of Lasagna = x
Let the unit cost of Salads = y
Equations:3x + 2y = 17.63 ...Equation 1
4x + y = 18.69 ...Equation 2
Multiply Equation 2 by 2:
8x + 2y = 37.38 ...Equation 3
Subtract Equation 1 from Equation 3:
8x + 2y = 37.38
-
3x + 2y = 17.63
5x = 19.75
x = 3.95
Substitute x = $3.95 in either Equations 1 or 2:
3x + 2y = 17.63
3(3.95) + 2y = 17.63
11.85 + 2y = 17.63
2y = 5.78
y = $2.89
Total Cost of 5 Lasagna and 3 Salads:
5(3.95) + 3(2.89) =
19.75 + 8.67 = $28.42
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Evaluate the function
f(n) = 4x + 5; Find f(2)
Answers
Answer: 13
Step-by-step explanation: To find f(2), you can put 2 into all of the x spots, thus making the equation 4(2)+5. From there you can do PEMDAS and multiply 4 and 2 to get 8, and then add 5 to get 13.
Convert 15 g/dL to mg/uL
Answers
Answer:
15000 mg/uL
Step-by-step explanation:
If 1 g/dL = 1000 mg/uL, 15 g/dL = 15,000 mg/uL
A 12 1/2 mile stretch of road needs repaving . A company bids on the repaving project saying they could replace 2 1/4 miles of road per week. How many weeks will the company take to completely replace the stretch of road?
Answers
2 1/4 miles => 1 week
1 mile => 1 ÷ 9/4
( 9/4 is an improper fraction of 2 1/4 )
12 1/2 miles => ( 1 ÷ 9/4 ) × 25/2
= 50/9
= 5 5/9 weeks
( 25/2 is an improper fraction of 12 1/2 )
Therefore, it will take 5 5/9 weeks for the company to replace the stretch of road.
( you can round it off to 6 weeks if the qn specify to give to the nearest whole number )
what is 1/2 times 2/1, i need explenation
Answers
Answer:
1
Step-by-step explanation:
(1/2)(2/1)=2/2=1
Answer:
1
1/2 x 2/1 = 1
What is the common ratio of the geometric sequence?
Number graph ranging from zero to ten on the x axis and zero to twenty-eight on the y axis. Points are plotted on the graph at (one, eight), (two, twelve), (three, eighteen) and (four, twenty-six point five). The points form a general positive trend.
Answers
A geometric series is one in which there is a constant between two successive numbers in the series.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression
Suppose the series is given as
2,4,8,16,32,64.........
The common difference is defined as the ratio of the next term to the previous term.
From the above series, the common ratio is calculated as,
Common ratio = 4 / 2
Common ratio = 2
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What is the measure of angle x?
Enter your answer in the box.
42°
x=
1
2
3
4.
5
6
7
8
9
N
Answers
answer = 48°
Step-by-step explanation:
180 + 84 = 264
360 - 264 = 96
96/2 = 48
Answer:
I think the 4. is right ok
Can anyone help me that would be great
Answers
Explanation:
The lowest numbers first
Answer:
0.343, 0.424, 0.443
Step-by-step explanation:
In an instant lottery, your chances of winning are 0.2. If you play the lottery five times and outcomes are independent, the probability that you win at most once isa. 0.0819. b. 0.2. c. 0.4096. d. 0.7373.In an instant lottery, your chances of winning are 0.2. If you play the lottery five times and outcomes are independent, the probability that you win all five times isa. 0.6723. b. 0.3277. c. 0.04. d. 0.00032.
Answers
The probability that you win at most once when the chances of winning are 0.2, if you play the lottery five times and outcomes are independent is 0.7373
Thus the answer is (d) 0.7373
This is a case of Binomial expansion. Here the chances of winning is the probability of successful trial, i.e. 0.2 and thus the probability of failure is (1-0.2) = 0.8. Total number of trials is 5.
Given probability that you win at most once, that is it includes probability of winning once and probability of not winning. So number of successful trial is 1 and 0 in case 1 and case 2.
Probability = 5C0×0.2^{0}×0.8^{5-0} + 5C1×0.2^{1}×0.8^{5-1}
= 1×1×0.32768 + 5×0.2×0.4096
= 0.73728
≅ 0.7373
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Can someone answer please? I really need help...
Answers
Answer:
See below.
Step-by-step explanation:
inequality:
1/2 x + 6 < 32
Solution:
Subtract 6 from both sides.
1/2 x < 26
Multiply both sides by 2.
x < 52
Graph: draw an open circle on 52. Shade to the left.
The temperature outside changed from 76°F to 41°F over a period of five days. If the temperature changed by the same amount each day, what was the daily temperature change?
A.
35°F
B.
-35°F
C.
7°F
D.
-7°F
Answers
Explanation: 76-41=35 35/5=7
Answer:
C. 7°F
Step-by-step explanation:
PLEASE FAST
Solve the equation for t.
4(t – 2.9) ≥ 3.6
t ≥ 17.3
t ≥ 11.5
t ≥ 3.8
t ≥ 1.6
Answers
Answer:3.8
Step-by-step explanation:
Write (x - 5)(x + 5)(2x - 1) in standard form.
-x2 + 2x2 - 50x + 25
2r? - x? - 50x + 25
2x - x2 - 50x
-50x - x? + 2x
Answers
Answer:
2x3 - x2 - 50x + 25
Step-by-step explanation:
So the first thing you would do is multiply (x - 5)(x + 5)
x2 + 5x - 5x - 25
then you would simplify
x2 - 25
then you would multiply it by 2x - 1
(x2 - 25)(2x - 1)
2x3 - x2 - 50x + 25
so your answer is
2x3 - x2 - 50x + 25
Is the graph increasing, decreasing, or constant?
O A. Constant
O B. Increasing
C. Decreasing
Answers
Answer:
increasing according to me
Step-by-step explanation:
..