Answer: x = 2.5
Step-by-step explanation: Add 14 to both sides. After that take the number left on the right side (5) and divide it by 2. That leaves you with x = 2.5
If a, b and c are positive integers for which (a,b,c) is the only
ordered triple such that 6a +9b + 20c = 61, then what is
a+b+c?
If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.
So consider two cases:
• If c = 2, then we're left with 6a + 9b = 21.
• If c = 1, then 6a + 9b = 41.
We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.
This leaves us with 6a + 9b = 21. Notice that if a = b = 1, then 6a + 9b = 15. Add 6 to both sides to get 21. So a = 2, b = 1, and c = 2, and hence a + b + c = 5.
Grace is measured for her annual check up. She is 28 1/5 inches tall. Last year she was 25 3/5 inches tall. How much did she grow in one year?
Answer:
2 3/5 inches in a year
Step-by-step explanation:
28 1/5 - 25 3/5 = 141/5 - 128/5 = 13/5 = 10/5 + 3/5 = 2 + 3/5 = 2 3/5
does anyone know the answer to this question?
consider the sequence below. What are the next three terms in the sequence?
3, 7, 11, 15,....
A scale drawing of a building needs to be made using the scale 1 in = 230 ft. How tall will the building in the scale drawing be if the building is 1380 ft tall?
Anyone good with matrixes and matrices? please help me i need help with 10 questions and I need to raise my grade ASAP please
Answer:
what questions need to be done? We need to know the problems before we answer them. :/
is 13.48 irrational or rational?
Answer:
It is irrational
Step-by-step explanation:
Rational numbers do not have decimals.
(6-x3)5=45 Please help
Wendy and Mini earn $38 per week for delivering magazines. Wendy worked for x weeks and earned an additional total bonus of $15 Mini worked for y weeks. Which expression shows the total money, in dollars, that Wendy and Mini earned for delivering magazines
A: 53x + 38y
B: 38 + 15 + 38y
C: 38 - 15 + 38y
D: 38x + 53y
What similarity rule can be used to prove the triangles are similar . plz help
Answer:
SAS
Step-by-step explanation:
Colin invests £1200 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
Which shows associative property?
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)
Answer: the answer is the second one
Step-by-step explanation:
9514 1404 393
Answer:
3(ab) = (3a)b . . . associative property of multiplication(3 + a) + b = 3 + (a + b) . . . associative property of additionStep-by-step explanation:
The "associative property" can apply to any number of operations. The ones we're usually concerned with are multiplication and addition.
Basically, the associative property says you can regroup elements that have the same operation being performed on them. Effectively, that regrouping lets you perform the sequence of operations in whatever order you may choose.
For multiplication, the associative property can be written:
(ab)c = a(bc)
This form matches the first of the choices shown:
3(ab) = (3a)b
__
For addition, the associative property can be written:
(a+b)+c = a+(b+c)
This form matches the second of the choices shown:
(3 + a) + b = 3 + (a + b)
__
If you must select one answer, you need to know which associative property you're talking about.
1. Let f(x) be defined by the linear function graphed below and
g(x) = x2 - 9x + 14.
I
A. Describe the right end behavior of g(x).
Answer:
Step-by-step explanation:
A). g(x) = x² - 9x + 14
Since coefficient of highest degree term (x²) is positive, parabola will open upwards.
For any parabola opening upwards,
Right end behavior,
y → ∞ as x → ∞
B). Let the equation of the linear function is,
f(x) = mx + b
Where m = slope of the function
b = y-intercept
From the graph attached,
Slope 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-(2+1)}{(0+1)}[/tex]
m = -3
b = -1
Therefore, function 'f' will be,
f(x) = (-3)x - 1
f(x) = -3x - 1
g(x) = x² - 9x + 14
= x² - 7x - 2x + 14
= x(x - 7) - 2(x - 7)
= (x - 2)(x - 7)
If h(x) = f(x)g(x)
h(x) = -(3x + 1)(x -2)(x - 7)
For h(x) ≥ 0
-(3x + 1)(x - 2)(x - 7) ≥ 0
[tex]x\leq -\frac{1}{3}[/tex] Or 2 ≤ x ≤ 7
Therefore, for 2 ≤ x ≤ 7, h(x) ≥ 0
C). If k(x) = [tex]\frac{h(x)}{(x-2)}[/tex]
k(x) = [tex]\frac{-(3x+1)(x-2)(x-7)}{(x-2)}[/tex]
k(x) = -(3x + 1)(x - 7)
For k(x) = -56
-(3x + 1)(x - 7) = -56
3x² -20x - 7 = 56
3x² - 20x - 63 = 0
3x² - 27x + 7x - 63 = 0
3x(x - 9) + 7(x - 9) = 0
(3x + 7)(x - 9) = 0
[tex]x=-\frac{7}{3},9[/tex]
How to estimate the sum of using different methods. 187,176,154,207
Answer:
tuff
guess you will fail
Step-by-step explanation:
helpp meeee will award brainliest
Research shows that many banks are unwittingly training their online customers to take risks with their passwords and other sensitive account information, leaving them more vulnerable to fraud (Yahoo, July 23, 2008). Even web-savvy surfers could find themselves the victims of identity theft because they have been conditioned to ignore potential signs about whether the banking site they are visiting is real or a bogus site served up by hackers. Researchers at the University of Michigan found design flaws in 78% of the 214 U.S. financial institution websites they studied.
Required:
Is the sample evidence sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud? Use a 5% significance level for the test.
Answer:
Decision rule
Fail to reject the null hypothesis
Conclusion
The sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.
Step-by-step explanation:
From the question we are told that
The sample size is n = 214
The sample proportion is p = 0.78
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the population proportion is mathematically represented as
[tex]p = \frac{3}{4} =0.75[/tex] (gotten from the statement ''three out of four'' in the question)
The null hypothesis is [tex]H_o : p = 0.75[/tex]
The alternative hypothesis [tex]H_a : p > 0.75[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^{p} - p}{ \sqrt{\frac{p(1-p)}{n} } }[/tex]
=> [tex]z = \frac{0.78- 0.75}{ \sqrt{\frac{ 0.75(1-0.75)}{214} } }[/tex]
=> [tex]z = 1.01[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > z )[/tex]
=> [tex]p-value = P(Z > 1.01 )[/tex]
From the z-table
[tex]P(Z > 1.01 ) = 0.15625[/tex]
So
[tex]p-value = 0.15625 [/tex]
From the obtained values we see that [tex]p-value > \alpha[/tex] hence we fail to reject the null hypothesis
Therefore we can conclude that the sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.
What is |-5 x 6 + 7|?
23
⊝
-65
⊝
-37
⊝
37
Answer:
your answer is A
Step-by-step explanation:
Please I need some answers a few is fine
which time has the definition the location where the X and Y axis intersect the ordered pair is (0,0)"? A Ordinate B Abscissa C Origin D Quadrant
Plz answer 1st RIGHT gets BRAINLY!!!!! PLUS 10 POINTS!!!!
Answer: I think the answer is B.) 570
Graph the line that passes through the points (-5,2) and (6,2) and determine the equation of the line.
Answer:
y = 2
Step-by-step explanation:
....................
g A circle is a special case of an ellipse. Explain how a circle is different from other ellipses.
Answer:
Main difference between circle & ellipse
Step-by-step explanation:
Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel
Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets
Cricle is the round shape entity in which it contains only radius and double of radius is diameter Thus below explanation is the answer to the Question
Explanation:
Cricle is the most rounded shape. Its different from ellipse because it has the radius, chord and diameter.cricle can be drawn easily with compass and ellipse is oval shape.cricle contains two types perimeter cricle and normal cricle. Ellipse has also two types partial ellipse and normal ellipse.Cricle does not have major and minor axis length both are different.Thus we conclude that cricle is totally different from ellipse
To know more about cricle and ellipse
https://brainly.com/question/9689499
This is due soon today can somebody help?
35 points (if they're all right) comment if you don't know it
Answer:
1) P(1,0)Q(-2,3)R(-3,3)S(3,2)
2) (3,4)
3) (0,-4)
4) (1,2)
Step-by-step explanation:
find the value of x.
The answer is 13, but I need to show my work
Thank you guys
Answer:
Know the properties of vertical angles.
Step-by-step explanation:
Vertical angles are equal to each other, so we must make them equal to each other in an equation:
6x+2=80
6x=78
x=13
Convert 2∘F to ∘C round to one decimal place
Answer:
-16.7
Step-by-step explanation:
(2°F − 32) × 5/9 = -16.7°C
Eliza walked 1 1/2 miles in 2/3 of a hour. what is her walking rate in miles per hour?
What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x – 12? (1 point)
Select the
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the
theories, he finds that 75% of them are false. How many of the theories are true?
Answer:
4 of the conspiracy theories were true
Step-by-step explanation:
Percentages
Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.
25% of 16 is 25 * 16 / 100 =400 / 100 = 4
Thus, 4 of the conspiracy theories were true
Noah is finding 3/4 of 8 find his mistake and correct it
you need to show his steps or else i cant find his mistake
Find three consecutive even integers whose sum is -42
Answer:
Three consecutive even integers are x, x+2, x+4.
Step-by-step explanation:
Their sum is x+x+2+x+4 = 3x+6.
Hope this helped! <3
Where is the vertex of f(x) = -2x - 3| +6.4?