Answer:
x∈{-1, 8}Step-by-step explanation:
[tex]\log_2x +\log_2(x-7) = 3\\\\\log_2[x\cdot(x-7)]= 3\log_22\\\\\log_2(x^2-7x)= \log_22^3\\\\x^2-7x=2^3\\\\x^2-7x-8=0\quad\implies \quad a=1\,,\ \ b=-7\,,\ \ c=-8 \\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot(-8)}}{2\cdot1}= \dfrac{7\pm\sqrt{49+32}}{2} =\dfrac{7\pm\sqrt{81}}{2}\\\\x=\dfrac{7+9}2=8\qquad\vee\qquad x=\dfrac{7-9}2=-1[/tex]
which is a prime number 18 15 19 or 22
Answer:
19
Step-by-step explanation:
the only way u can get 19 is if you multiply 19x1 but other than that you cant get the number
the other numbers have more than one multiple but 19 only has one multiple
Answer:
19
Step-by-step explanation:
the only factors multiplyed that can make 19 is 1 and 19
15:1, 3, 5, 15
18:1, 2, 3, 6, 9, 18
22:1, 2, 11, 22
19:1, 19
take care
The non-fiction section of the Montgomery County Library has 15 racks. If each rack holds 528 books, what is the total collection of non-fiction books in the library.
Answer:
when you do 15×528 you get 7920 books
Can anyone help mee!!!
Answer: I want to say 30 degrees you have to put the degree simble
Step-by-step explanation:
1) A tv has a sale price of $450 and has a sales tax of 6% Find the total price.
Sales tax:
Total price:
Answer:
Sales tax : $27
Total price : $477
Step-by-step explanation:
Given that:
Sale price of tv = $450
Sales tax = 6%
Amount of sales tax = [tex]\frac{6}{100}*450[/tex]
Amount of sales tax = 0.06 * 450
Amount of sales tax = $27
Total price = Sale price + Sales tax
Total price = 450 + 27 = $477
Hence,
Sales tax : $27
Total price : $477
hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm
Answer:
[tex]R(x,y) = (0.8,-1.2)[/tex]
Step-by-step explanation:
The coordinates of QS are:
[tex]Q(x_1,y_1) = (-2,-6)[/tex]
[tex]S(x_2,y_2) = (5,6)[/tex]
The ratio is represented as:
[tex]R_{m:n} = 2:3[/tex]
Required
Find the coordinates of R
The coordinates of R is calculated by:
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Substitute values for m, n, x's and y's
[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]
[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]
[tex]R(x,y) = (0.8,-1.2)[/tex]
None of the options is correct
Is this congruent or not congruent? And is this
SSS
SAS
SSA
AAS
ASA
HL
PLEASE HELP, I will brainliest u
Answer: Answer is SSS ok
. A girl pushes herself up a steep ramp in her
wheelchair. She gains a vertical distance of
25.8 m when she reaches the top of the ramp.
She turns around and coasts back down the ramp.
If the combined mass of the girl and her wheelchair
is 64.6 kg, what would be her coasting speed at the
bottom of the ramp? Show all your work.
Answer:
32 Joule by 21 secs
Step-by-step explanation:
I hope that's the correct answer. Best of luck
Please help this is a major gradeeeeee
Answer:
45
Step-by-step explanation:
help will mark brainliest plz plz plz
hope it will help you..............
Answer:
4.3
Step-by-step explanation:
subtract CD from CZ to find DZ
this is the same thing as CZ - CD = DZ
substitute in our values: 6.7 - 2.4 = DZ
you get DZ = 4.3
Hola chicos, solo necesito ayuda con la vida. Solo bromeaba o lo estoy?
Answer:
no sé eres tú
Step-by-step explanation:
Solve the area formula for a circle, A = πr2, for r2.
r2 = Aπ
r2 = A – π
Answer:
The solution of r² is r² = [tex]\frac{A}{\pi }[/tex]
Step-by-step explanation:
To solve an equation for one of its variables, do that
Separate the term of this variable on one side and the other terms on the other sidesMake the coefficient of the variable equals1 (if it is not 1)Let us solve the question
∵ The formula of the area of the circle is A = π r²
∵ The subject is r² ⇒ The variable which we need to solve for it
→ By using the 1st step up divide both sides by π to move it from the right
side to the left side
∵ [tex]\frac{A}{\pi }[/tex] = [tex]\frac{\pi r^{2}}{\pi }[/tex]
∴ [tex]\frac{A}{\pi }[/tex] = r²
→ Switch the two sides
∴ r² = [tex]\frac{A}{\pi }[/tex]
a student buys (x) fashion magazines and (y) sports magazines. Each fashion magazine costs $2.00 and each sports magazine costs $1.60. If the student buys a total of 8 magazines for $14.00, which equation best represents the situtation
Answer:
Step-by-step explanation:
the student buys a total of 8 magazines for $14.00
x+y = 8
x = 8-y
2x+1.6y = 14
2(8-y)+1.6y = 14
16-2y+1.6y = 14
16-0.4y = 14
0.4y =16-14 = 2
y = 2/0.4 = 5
x = 8-y = 3
The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A student buys (x) fashion magazines and (y) sports magazines.
And, Each fashion magazine costs $2.00 and each sports magazine costs $1.60.
Here, The student buys a total of 8 magazines for $14.00.
Hence, We can formulate;
⇒ x + y = 8
And, 2x + 1.60y = 14.00
Thus, The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ3
Which gives the prices in order, from least to greatest
Answer:
is there a picture to go with the problem?
Which statement describes a property of water?
O A. It is less dense as a solid than as a gas.
o B. It is less dense as a solid than as a liquid.
C. It is more dense as a gas than as a liquid.
0
D. It is more dense as a solid than as a liquid.
Answer:
the answer is D. dense means heavier, basically
Answer:
its D dense
Step-by-step explanation:
because dense means more inside
A triangle has an angle that measures 68°. Which of these can be the measures of the other two angles?
Answer:
56 degrees
Step-by-step explanation:
180-68=112
112/2=56
hope i could help!
Answer:
112
Step-by-step explanation:
The sum of the other two angles is 112 degrees (180-68 = 112).
But the question is, what triangle is it?
Two other angles could be:
1) 90 and 22 degrees;
2) two equal angles of 56 degrees
3) any that would satisfy the condition in the amount of 112 degrees.
can someone please please please help me asap?!
Answer:
-1.5
Step-by-step explanation:
Rise is 3, run is -2
I hope this helps..
~Hi ~ me ~ again ~ sorry ~ can ~ you ~ please ~ help ~ me ~ out ~ once ~ more?~
Answer:
b 19
Step-by-step explanation:
Answer:
the answer is 19, B.
Step-by-step explanation:
this is my first time answering a question. i hope this helps you.
To the nearest unit, what is the perimeter of this pentagon?
27 units
29 units
30 units
34 units
Answer:
D(34)
Step-by-step explanation:
i did the math
4.5m is__% of 90cm. And 90cm is ___% of 4.5m.
Pls help me! This is really hard.
4.5m is 500% of 90cm
90cm is 20% of 4.5m.
Decrease £313 by 62%
Give your answer rounded to 2 DP.
Answer:
194.06
Step-by-step explanation:
£313 decreased by 62% is £118.94
In order to determine the answer, the first step to take is to determine the value of 62% of £313.
Value of 62% = 62% x £313
0.62 x £313 = £194.06
The second step is to subtract the value of 62% of £313 from £313
£313 - £194.06 = £118.94
In order to decrease £313 by 62%, the first step is to determine the value of 62% of £313 and then subtract the value gotten from the previous step from £313.
A similar answer was solved here: https://brainly.com/question/18837466?referrer=searchResults
True or False To find the circumference of a circle you multiply the diameter by pi
Answer:
false
Step-by-step explanation:
Formula: c=2[tex]\pi[/tex]r
Circumference= two times pi times radius
The geometric figure that is created after plotting the points A (-3,-6), B (5,-6), C (5,-4) and D (-3,-4) on the
coordinate plane is a
A triangle.
B square.
c circle.
D rectangle.
Answer:
D. a rectangle
Step-by-step explanation:
A visual-effects model maker for a movie draws a spaceship using a ratio of 1 : 24. The drawing of the spaceship is 22 inches long. What is the length of the spaceship in the movie?
Group of answer choices
Answer:
Length of spaceship in movie = 528
Step-by-step explanation:
Given that:
Drawing ratio of spaceship = 1 : 24
It means that 1 inch on drawing equals 24 inches in movie
Drawing of spaceship = 22 inches
Length of spaceship in movie = x
As the relationship is proportional,
1 : 24 :: 22 : x
Product of mean = Product of extreme
24*22 = x
x = 528
Hence,
Length of spaceship in movie = 528
30 points! Will mark brainliest. No random answer please.
Answer:
to determine whether the equation of the line parallel or perpendicular.we have to find there slope.
Step-by-step explanation:
2x+3y=153y=15-2x
y=15/3 -2x/3
y=5-2x/3
y=-2x/3 +5
so the cooficient tell us the slope of the line so it is -2/34x+6y=-48
6y=-48-4x
y=-4x/6 -48/6
y=-4x/6 -8
so the slope of this line is -4/6now to say two lines are parallel there slope should be the same
-2/3 ≠ -4/6
to say two line are perpendicular with one another the product of there slope should be -1
-2/3 * -4/6
=8/18
=4/9 which is different from -1
they are neither parallel nor perpendicular.When does the expression below equal
10?
n + 3
A when n=4
B when n = 10
C when n = 13
D when n = 7
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
When n = 7
[tex]n + 3[/tex][tex]7 + 3[/tex][tex]10[/tex]hence, the given expression is equal to 10, when n = 7
14. Max wants to buy some shorts that are
priced at $8 each. He decided to buy a pair
of sneakers for $39, but the total cost of the
shorts and the sneakers must be less than $75.
a. Write an inequality to find out how many
pairs of shorts Max can buy.
b. Suppose that Max wants to buy 6 pairs
of shorts. Will he have enough money?
Explain.
c. Solve the inequality to find the greatest
number of pairs of shorts that Max can buy.
Show your work.
Answer:
A. ($39)+(8)+(8)+(8)+(8)=71
Therfore he can buy 4 pairs of shorts.
B. No, if he wanted to buy 6 pairs of shorts it would be $87.00 with the sneakers. If he wanted to buy the shorts by themselves then it would only be $48.00 WITHOUT the sneakers.
C. The most amount of shorts he can buy would be 4 WITH the sneakers.
Step-by-step explanation:
Hope this helps. Not sure if right or not but when i was typing it out it made sense. Goodluck! brainliest?
pls help me with this question i’ll be giving a brainliest to the person with the correct answer
Answer:
i believe it’s the second and third one, not too sure about the first
Step-by-step explanation:
4/3(6y+21)-17>43 help pls
Answer:
Step-by-step explanation:
4/3(6y+21)-17=43
move all terms to the left:
4/3(6y+21)-17-(43)=0
Domain of the equation: 3(6y+21)!=0
y∈R
We add all the numbers together, and all the variables
4/3(6y+21)-60=0
You multiply all the terms by the denominator
-60*3(6y+21)+4=0
multiply elements
The total cost (c) in dollars of renting a car for n days is given by the inequality LaTeX: c\ge125+50nc ≥ 125 + 50 n. What is the maximum number of days for which a car could be rented if the total cost was $425?
Answer:
6 daysStep-by-step explanation:
Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n
To get the maximum number of days for which a car could be rented if the total cost was $425, substitute c = 425 into the expression and find n
425 ≥ 125 + 50n
Subtract 125 from both sides
425 - 125 ≥ 125 + 50n - 125
300≥ 50n
Divide both sides by 50
300/50≥50n/50
6 ≥n
Rearrange
n≤6
Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days
If point A(-8, 5) is reflected over the line y=2 and then translated according to the rule (x,y) -> (x-1, y-4), what quadrant will point A be in?
9514 1404 393
Answer:
3rd quadrant
Step-by-step explanation:
The second-quadrant point will lie in the 3rd quadrant after reflection over the line. Its coordinates there will be ...
A'(-8, 2·2 -5) = A'(-8, -1)
Then, translation down and to the left will move it further into the 3rd quadrant, to ...
A''(-8-1, -1-4) = A''(-9, -5) . . . . a 3rd-quadrant point