Answer:
u= 55/17
Step-by-step explanation:
Answer:
Step-by-step explanation:
u/11=5/17 so cross multiplication, 17u=5*11, 17u=55, so u =55/17
Which expression is the completely factored form of a³ +8y6 ?
O(x+2y²) (x² - 2xy² + 4y¹)
O (x+2y²) (x² + 4y¹)
○ (x+2y²) ³
O(x-2y²) (x² + 2xy² + 4y¹)
Step-by-step explanation:
[tex](a + 2 {y}^{2} )( {a}^{2} - 2a {y}^{2} + 4 {y}^{4} )[/tex]
Choose to use same variables next time to avoid confusions!!!!.
Bennett created the table below. Which
operation did he perform on the numbers
in the left column to find the numbers in the
right column?
F Add 8.
G Add 9.
X
1
2
3
4
5
6
y
9
10
11
12
13
14
H
Multiply by 8.
J Multiply by 9.
Step-by-step explanation:
He added 8 to each number on the left column to get the number on the right column
So that
X 1, 2, 3, 4, 5, 6,
Y 1+8 = 9
Y 2 + 8 = 10
Y 3+8 = 11
Y 4 + 8 = 12
Y 5 + 8 = 13
Y 6 + 8 = 14
What are the roots of the function f(x) = (log(3x) − 2log(3)) · (x2 − 1) with x ∈ R?
Answer:
x = 1, x = 3
Step-by-step explanation:
Given function:
[tex]f(x)=\left(\log(3x)-2 \log(3)\right) \cdot \left(x^2-1\right)[/tex]
The roots of the function are when f(x) = 0:
[tex]\begin{aligned}f(x) & = 0\\ \implies \left(\log(3x)-2 \log(3)\right) \cdot \left(x^2-1\right) & = 0\\\\ \textsf{Therefore,} \:\:\:\log(3x)-2 \log(3) & = 0\\ \textsf{and }\:\:\:x^2-1 & = 0 \end{aligned}[/tex]
Case 1
[tex]\begin{aligned}\left(\log(3x)-2 \log(3)\right) & = 0\\\log(3x) & = 2 \log(3)\\ \log(3x) & = \log (3)^2\\ \log(3x) & = \log (9)\\ 3x & = 9\\ x & = 3\end{aligned}[/tex]
Case 2
[tex]\begin{aligned}\left x^2-1\right & = 0\\x^2 & = 1\\ x & = \pm 1\end{aligned}[/tex]
As logs of negative numbers cannot be taken, x = 1 only.
Therefore, the roots of the given function are: x = 1, x = 3
Answer gets brainliest PLS HELP!!
Based on the number of days that the health inspector and the fire inspector visits, the table for their next 4 visits is:
Number of visits Health Inspector visits Fire inspector visits
1 7 12
2 14 24
3 21 36
4 28 48
The number of days till both inspectors visit on the same day is 84 days.
What day will both inspectors visit?The model that would be best to use and solve the problem of the number of days till both inspectors visit is the Lowest Common Multiple.
This shows the number of days till both inspectors would visit based on their visiting interval.
The lowest common multiple of 7 and 12 is 84 which means that the health and fire inspectors would visit after 84 days on the same day.
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Calculate surface area of square diameter 25 in
Can 0.56214 be written as a fraction? It is a terminating or repeating or neither
Answer:
yes. we can write it as a fraction= 56214/100000
it is terminating because it has a stop and its not repeating
There is $10000 in an account that pays 5% interest per year. The interest is added to the total in the account at the end of each year. How much money will be in the account at the end of each year?
Year 1:
Year 2:
Year 3:
The value of the account at the end of 1 year is $10,500
The value of the account at the end of 2 years is $11,025
The value of the account at the end of 3 years is $11,576.25
What is the total at the end of the years?If the amount of interest that is added into the account at the end of the year. Both the initial amount in the account and the interest that has already been earned would increase in value each year. This is known as compound interest.
The formula that can be used to determine compound interest is:
FV = P (1 + r)^n
Where:
FV = Future value
P = Present value
R = interest rate
N = number of years
Value of the account at the end of 1 year: 10,000 x (1.05) = $10,500
Value of the account at the end of 2 years: 10,000 x (1.05²) = $11,025
Value of the account at the end of 3 years: 10,000 x (1.05³) = $11,576.25
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can someone help me with this
Answer:
b) -8
c) 11
d) {x is a member of all real numbers | except for 2}
Answer:
(a) Choice C is correct
(b) f(x) = -8 Point is (1, -8)
(c) x =11 Point is at (11,2)
(d) Domain of f is x is [tex]\:x < 2\quad \mathrm{or}\quad \:x > 2\:[/tex]
In interval notation [tex]\:\left(-\infty \:,\:2\right)\cup \left(2,\:\infty \:\right)[/tex]
(e) x intercept is at x = -7
(f) y-intercept is at [tex]-\frac{7}{2} = -3.5[/tex]
Step-by-step explanation:
(b) Plug in x = 1 into the equation [tex]\:\:\frac{x+7}{x-2} = \frac{1+7}{1-2} = \frac{8}{-1} = -8[/tex]
(c) If f(x) = 2 then we get [tex]2 = \:\:\frac{x+7}{x-2}[/tex]
==> 2(x-2) = x + 7
==> 2x - 4 = x + 7
==> 2x - x = 7 +4 =11
==> x = 11
(d) Domain of f is all values of x -∞ < x < ∞ except at x = 2 since at x = 2 the denominator is 0 and division by zero is undefined; So we can say the domain is x < 2 or x >2
(e) To get the x-intercept set y = 0 and solve for x
We get (x+7)/(x-2) = 0
x+7 = (x-2)(0) = 0
x = -7 and the x intercept is at point (-7, 0)
(f) [tex]y\mathrm{-intercept\:is\:the\:point\:on\:the\:graph\:where\:}x=0[/tex]
Substitute for x = 0 to get y = (0+7)/(0-2) = -7/2
HELP ME IM DESPERATE!!!!!!!!!!!What is the vector that results from transforming a⃗ by the transformation matrix?
Enter your answer by filling in the boxes.
Answer:
the vector is 24 OVER 67
Step-by-step explanation:
and never the less the vector is the number u Will have total of 67 and 24
Ken volunteers 1 hr 25 min each day. How many hours of volunteering is completed in 4 weeks?
Enter a mixed number.
Answer:
35 volunteer hours
Step-by-step explanation:
1.25*7=8.75(in a week)
8.75*4=35
A deck of cards contains RED cards numbered 1,2,3,4,5,6 and BLUE cards numbered 1,2,3,4,5. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.
Drawing the Blue 2 is an example of which of the following events? Select all correct answers.
Drawing a "blue 2" will be represented by the event (or combination of events):
B ∧ O.
Drawing the Blue 2 is an example of which of the following events?
We know that we have the following events:
B = drawing a blue card.E = drawing an even card.R = drawing a read card.O = drawing an odd card.So, if we draw a card with a number 2, like in this case, the event "E" is true.
And also happens for event "B", because our card is a blue card.
Then a "blue 2" will be represented by the event (or combination of events):
B ∧ O.
Where the symbol in the middle, ∧, means "and".
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The product of two consecutive off integers is equal to 27 plus six times the sum of the integers . What is the largest integer?
Answer:
15
Step-by-step explanation:
x(x + 2) = 27 + 6(x + x + 2)
x^2 + 2x = 27 + 6(2x + 2)
x^2 + 2x = 27 + 12x + 12
x^2 + 2x - 12x - 12 - 27 = 0
x^2 -10x - 39 = 0
(x + 3)(x - 13) = 0
x + 3 = 0
x = -3 (extraneous solution)
x - 13 = 0
x = 13
x + 2 = 15
which of the following numbers is best represented by point N? PLS HELP ME :( its my last question SAM HELP! PLSSSSS
Answer:
6.47
Step-by-step explanation:
all you have to so is count the number of black lines between 6.4 and 6.5. since there are 7, you add 0.07 to 6.4
6.4
+0.07
---------
6.47
Alberto estuvo en el refugio con sus amigos durante cuatro días cuántos Ligias eran?
Answer:
Step-by-step explanation:
Alberto was in the shelter with his friends for four days how many Ligias were they?
Please answer the question quick i’mma mark brainlist
Step-by-step explanation:
Rounding to the nearest hundredth means the rounding of any decimal number to its nearest hundredth value. In decimal, hundredth means 1/100 or 0.01. For example, the rounding of 2.167 to its nearest hundredth is 2.17.
You didn't show her answer so I don't know her mistake, but you round to the nearest hundredth by looking at the ten's value, if it's a 5 or greater, add one to the hundredths digit. If its lesser than five, leave the hundredth place.
Ex. Rounding 1,567. Because the tens digit is a 6, you round the 5 up to a 6 and get rid of the tens and one digit. 1,567 rounds to 1,600
Ex. Rounding 1,445. Because the tens digit is a 4, you leave the hundredths digit and get rid of the rest. 1,445 rounds to 1,400.
Hope this helps!
Simplify 2/9y(3y-4/7)
Answer:
2/9y(3y−4/7)
Use the distributive property to multiply
9
2
y by 3y−
7
4
.
9
2
y×3y+
9
2
y(−
7
4
)
Multiply y and y to get y
2
.
9
2
y
2
×3+
9
2
y(−
7
4
)
Express
9
2
×3 as a single fraction.
9
2×3
y
2
+
9
2
y(−
7
4
)
Multiply 2 and 3 to get 6.
9
6
y
2
+
9
2
y(−
7
4
)
Reduce the fraction
9
6
to lowest terms by extracting and canceling out 3.
3
2
y
2
+
9
2
y(−
7
4
)
Multiply
9
2
times −
7
4
by multiplying numerator times numerator and denominator times denominator.
3
2
y
2
+
9×7
2(−4)
y
Do the multiplications in the fraction
9×7
2(−4)
.
3
2
y
2
+
63
−8
y
Fraction
63
−8
can be rewritten as −
63
8
by extracting the negative sign.
3
2
y
2
−
63
8
y
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior angle of 135°. Find
the value of x.
Using angle sum property for angles For, the given triangle, the value of x = 23°
What is the angle - sum property?The angle sum feature is a characteristic shared by all varieties of triangles. Triangles have an angle sum property of 180 degrees. This indicates that a triangle's internal angles add up to 180 degrees.
The angle 135 ,makes a linear pair with the line
So, the angle will be -
180 - 135
= 45°
Using angle - sum property,
x + 45 + 112 = 180
x + 157 = 180
x = 180 - 157
x = 23
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Find the length of the missing side. Leave your answer in simplest radical form.
Given the length of the perpendicular height and base length, the hypotenuse of the right triangle is 2√74 ft.
Hence option a)2√74 ft is the correct answer.
What is the length of the missing side?The Pythagoras theorem can be expressed as;
c = √( a² + b² )
Where c is hypotenuse, a and b are the other two sides of the right triangle.
Given the data in the image;
Length leg 1 of the right triangle a = 14ftLength leg 2 of the right triangle b = 10ftLength of hypotenuse c = ?Plug the given values into the above equation and solve for the hypotenuse 'c'.
c = √( a² + b² )
c = √( (14)² + (10)² )
c = √( 196 + 100 )
c = √( 296 )
296 can be written as 4 × 74, and 4 can further be written as 2²
Hence
c = √( 2² × 74 )
c = 2√74 ft
Given the length of the perpendicular height and base length, the hypotenuse of the right triangle is 2√74 ft.
Hence option a)2√74 ft is the correct answer.
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What is 22% of 150?
NEED FULL EXPLANATION pls
Answer:
Important note: "of" means to multiply!
22% of 150 is 33
Step-by-step explanation:
[tex]Y = P\% \times X\\Y = 22\% \times 150\\P = 22\%\div100 = 0.22\\Y = 0.22 \times 150\\Y = 33[/tex]
Hope this helps!
A movie theater runs its films continuously. One movie runs for 70 minutes and a second runs for 105 minutes. The theater has a 15-minute intermission after each movie, at which point the movie is shown again. If both movies start at noon, when will the two movies start again at the same time?
Answer:
10:30 On the Next day
Step-by-step explanation:
This Is a Answer
Pls help
11% of 57 =
39% of 28 =
8% of 97 =
6% of 24.4 =
77% of 9.2 =
Change the following percentage to fractions
25%
60%
30%
6%
55%
22%
45%
89.5%
40.05%
56.6%
Step-by-step explanation:
= 25/100 = 1/4
60% to fraction = 60/100 = = 12/20 further division gives 3/5
30% to fraction = 30/100 = 3/10
6% to fraction= 6/100 = 3/50
55% to fraction= 55/100 = 11/20
22% to fraction = 22/100 = 11/50
45% to fraction = 45/100 = 9/20
find z
-6x-7y-7z=-68
4. Jessica's cat eats 1 bags of food each week. How many whole bags of food does Jessica need
to buy to feed her cat for 42 days?
Answer:
Step-by-step explanation:
7 days= 1 week
42 days= 42/7 = 6 weeks
For 1 week 1 bag of food
For 6 weeks 6 bags of food
Trinity Brown
5 M1 TD Lesson 19
EUREKA N
3. A typical midsize car weighs 1.5 tons. It has a gas tank that holds 15 gallons of gas.
a. How many quarts does the gas tank hold?
The gas tank holds 60 quarts.
What is quarts?
The quart is an English volume unit equivalent to one-quarter gallon. There are now three types of quarts in use: the liquid quart and dry quart of the US customary system, as well as the imperial quart of the British imperial system. All of them are essentially equivalent to one liter. It is split into two pints or four cups (in the United States). The exact size of the quart has historically fluctuated with the varying values of gallons over time and in relation to different commodities.
1 US gallon = 4 US quarts
so, 15 US gallons = 15 x 4 = 60 quarts
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f(x) = √5x - 7+10
Graph
f(x) = √5x - 7+10 = ( 0, 3) ( -0.6 , 0 ) are graph value .
What does a graph's value represent?
Let (x, y) be a point on a function f's graph. The function's value for the specified value of x is then y. 5 is the value of f(x) at x = 2 if (2, 5) is on the graph of the function.What are the names of the values on a graph?
One of a group of numbers called coordinates is used to specify a point's location on a graph. Both an x-coordinate and a y-coordinate are used to identify each point. A point's x-coordinate is a number that indicates how far away from the origin it is on the horizontal, or x-axis.On f(x) = √5x - 7+10 = ( 0, 3) ( -0.6 , 0 )
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Sam chose to buy the BLT bond rather than the stock. Based on Sam's purpose for making the investment, which
sentence provides a valid reason for his investment decision?
o Sam wants an investment that offers capital gains.
o Sam wants a steady income from his investment.
o Sam wants an investment that he can quickly sell to raise cash.
o Sam wants an investment that offers a higher return than stocks.
Correct answer is D. The statement that shows Sam's purpose for making the investment, is; Sam wants an investment that offers a higher return than stocks.
Sam desires an investment that delivers a larger return than stocks, which is the phrase that best demonstrates his motivation for making the investment.
What do bonds do?Bonds are a sort of investment that may be held for a time in the hopes of earning returns, as is common knowledge. The two most popular forms of investments traded on the stock market are bonds and stocks. Buyers just hold them in the belief that they will generate returns.
Bonds, however, are often safer investments than stocks. In actuality, stocks are a type of investment that is excessively volatile.
Sam desires an investment that delivers a larger return than stocks, which is the phrase that best describes his motivation for making the investment.
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Answer:
Sam wants a steady income from his investment.
Step-by-step explanation:
Got it right on edmentum
Solve y = ax² + c for x.
Answer:
[tex]x=\pm \sqrt{\frac{y-c}{a}}[/tex]
Step-by-step explanation:
[tex]y=ax^2 + c \\ \\ ax^2 =y-c \\ \\ x^2=\frac{y-c}{a} \\ \\ x=\pm \sqrt{\frac{y-c}{a}}[/tex]
Points A, B and C are collinear. Point B is between A and C. Suppose AB = x + 4 BC = 2x - 1, and AC = 4x - 7. Find x=, AB =, BC =, AC =
The solution of the geometric system is (x, AB, BC, AC) = (10, 14, 19, 33).
What are the values of a variable and the lengths of three line segments associated to it?
In accordance with geometry, three points are collinear if and only if these points lie on the same line. Then, the geometric system is represented by the following model:
AC = AB + BC
If we know that AB = x + 4, BC = 2 · x - 1 and AC = 4 · x - 7, then the value of x and the lengths of the line segments are, respectively:
4 · x - 7 = (x + 4) + (2 · x - 1)
4 · x - 7 = 3 · x + 3
x = 10
AB = 10 + 4
AB = 14
BC = 2 · 10 - 1
BC = 20 - 1
BC = 19
AC = 4 · 10 - 7
AC = 40 - 7
AC = 33
The solution of the geometric system is (x, AB, BC, AC) = (10, 14, 19, 33).
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hello i need helpfffafafafa
Answer:2 x^2 + 7 x + 15
Step-by-step explanation:
Answer:
-2x^2-7x-5 or -(x+1)(2x+5)
Step-by-step explanation:
We combine -2x and 5x which becomes a -5x equaling to -7x
And then we add -10 and 5 to get -5.