Answer:
-8 and 3, or -3 and 8
Step-by-step explanation:
xy = -24
x - y = 11
x = y + 11
y(y + 11) = -24
y^2 + 11x + 24 = 0
(y + 8)(y + 3) = 0
y = -8 or y = -3
x = 3 or x = 8
the numbers are -8 and 3, or -3 and 8
What is the volume of the pyramid below?
Answer:
56 m³
Step-by-step explanation:
Base area = 8×6/2 = 24 m²
Height = 7 m
Volume = 24×7/3
= 56 m³
Answered by GAUTHMATH
help me please its confusing neeed help
Answer:
1.94 mm
Step-by-step explanation:
V = pi(r^2)h
V/pi(h) = r^2
r = sqrt(V/pi(h))
r = sqrt(200/pi(17))
r = 1.94 mm
I could really use a hand
Answer : -5a² + 10a
It was way easy ikr ~w~
Answer:
-5a2+10a
Step-by-step explanation:
distribute
-5a(a-2)
-5a2+ 10
Need some help! I don’t get it at all!
Answer:
Min = -16; max = 0
Step-by-step explanation:
I plotted the inequalities for the constraints (see pic).
Sub in the coordinates of the vertices into the optimisation equation.
z = -(-4) + 5(-4) = -16
z = 0
z = -3 + 5(-1) = -8
Therefore, the max value of z is 0, and the min value is -16
f(x) = -4(x+3)+6(x+4)
Answer:
zero of the function occurs at x = -6
Step-by-step explanation:
Given f(x) = -4(x+3)+6(x+4)
Since the question is incomplete, we can as well find the zero of the given function. The zero exists when f(x) = 0
Hence;
-4(x+3)+6(x+4) = 0
Expand
-4x - 12 + 6x + 24 = 0
Collect the like terms
-4x + 6x - 12 +24 = 0
2x + 12 = 0
2x = -12
x = -12/2
x = -6
Hence the zero of the function occurs at x = -6
Explain how to solve the equation
.
b – 7 = 12
Answer:
19
Step-by-step explanation:
Add 7 onto 12 to find answer.
Answer:
b = 19
Step-by-step explanation:
b = 12 + 7
Simplify 12+7 to 19.
Michael has a project due in exactly 83 hours. It is currently 8:30 on a Monday morning. What time is his project due
Answer: it wll be thursday at 7:30PM
answer the question
(v^3)(w^-3) / (-v^-6)(w^3)
(-v^9)(w^-3) / (w^3)
(-v^9)(w^-6)
ANSWER: Option 4
Hope this helps!
On a unit circle, the terminal point of θ is (√2/2, √2/2). What is θ?
Given:
On a unit circle, the terminal point of θ is [tex]\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)[/tex].
To find:
The value of [tex]\theta[/tex].
Solution:
If the terminal point of θ is (x,y), then
[tex]\tan \theta=\dfrac{y}{x}[/tex]
On a unit circle, the terminal point of θ is [tex]\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)[/tex]. So,
[tex]\tan \theta=\dfrac{\dfrac{\sqrt{2}}{2}}{\dfrac{\sqrt{2}}{2}}[/tex]
[tex]\tan \theta=1[/tex]
[tex]\tan \theta=\tan \dfrac{\pi}{4}[/tex]
[tex]\theta=\dfrac{\pi}{4}[/tex]
Therefore, the correct option is D.
PLEASE HELP ME PLEASE PLEASE
Torren deposits $4500 in an account earning 2% interest, compounded
annually. The equation that represents this situation is:
A(n) = 4500(1 + 0.02)" - 1
How much will he have in the account at the beginning of year 9? Round your
answer to the nearest dollar.
An amount of $ 5272 he will have in the account at the beginning of year 9. Option D is corect.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The expression is;
[tex]\rm A(n) = 4500(1+0.02)^{n-1}[/tex]
At the beginning of 9-year value of n is 9,substitute the value to get he amount;
[tex]\rm A(n) = 4500(1+0.02)^{n-1} \\\\ \rm A(n) = 4500(1+0.02)^{9-1} \\\\ A(n) = \$ 5272[/tex]
Hence, option D is corect.
To learn more, about equations, refer;
https://brainly.com/question/10413253
#SPJ1
How many tacos could you buy with your money? On Tuesday you can buy two tacos and you get one free.
If you had $20 dollars would you have enough money to buy a taco for 37 students on a Tuesday?
Answer:
due to not much information given and the way you ask the question I would definitely say no
Answer:
Yes you would have enough!
Step-by-step explanation:
Simply multiply .50 by 37 and that gives you 18.5!
hi pls help. pls explain a bit thank you:)
Answer:
[tex]a^3b^2c^6[/tex]
Step-by-step explanation:
[tex]n^x*n^y=n^{x+y}[/tex]
so
[tex]a^6*a^{-3}*a^0=a^{6-3+0}=a^3[/tex]
[tex]b^3*b^1*b^{-2}=b^{3+1-2}=b^2[/tex]
[tex]c^4*c^2=c^{4+2}=c^6[/tex]
put it all together
[tex]a^3b^2c^6[/tex]
Which function is decreasing and approaches negative infinity as x increases?
A. f(x) = -3(0.6)^x + 1
B. f(x) = 3(6)^x − 2
C. f(x) = -3(6)^x + 2
D. f(x) = 3(0.6)^x − 1
Answer:
C
Step-by-step explanation:
I have attached graphs of all the equations below
A starts off increasing so it cannot be it
B is increasing after some point, so doesn't work
C works
D has a constant y after some point, so doesn't work (not increasing or decreasing)
therefore: C is the correct answer
pls pls pls pls help me
.................................
Which statement is true about this quadratic equation?
y = 12 – 11x + 7
A.
There is one real solution.
B.
There are two complex solutions.
C.
There are two real solutions.
D.
There is one complex solution,
The statement that is true about the quadratic equation is (b) There are two complex solutions.
Identifying the statement that is true about the quadratic equationFrom the question, we have the following parameters that can be used in our computation:
y = 12 – 11x + 7
Express properly
So, we have
y = 12x² – 11x + 7
Next, we calculate the discriminant using
d = b² - 4ac
Where
a = 12
b = -11
c = 7
Substitute the known values in the above equation, so, we have the following representation
d = (-11)² - 4 * 12 * 7
Evaluate
d = -215
This value is less than 0
This means that it has complex solutions
Read more about quadratic functions at
https://brainly.com/question/25841119
#SPJ1
What is the area of a rectangle with vertices at (7,3) (12,3) (12,11) (7,11)
Answer:
Area = 5 × 8
= 40 square units
Answer:
40^2
Step by Step Solution:
I counted the difference between the length and the width, which was 5 and 8, then using the formula for area, lw=a^2, I did 5(8)=40^2. Some people leave out the squared part of the area, but 40^2 would be the most correct option if they do not square any of the answers, just put 40 that'll probably be accepted too.
In the diagram, the measure of angle 3 is 105°
Which angle must also measure 105°
1
4
6
8
Answer:
the answer will be 1 on the basis of the option
Step-by-step explanation:
and other are 7 5
Find the number of all the 2-digit numbers satisfying the
following congruences x = 3(mod7), x = 2(mod5).
OLEASE HELP
Use the Chinese remainder theorem.
Start with x = 3×5 + 2×7 = 15 + 14 = 29. Now,
• 29 ≡ 15 ≡ 1 (mod7)
• 29 ≡ 14 ≡ 4 (mod5)
Adjust for this by multiplying the first term in x by 3, and the second term by 3 (because 4×3 ≡ 12 ≡ 2 (mod5)).
So now x = 3×5×3 + 2×7×3 = 45 + 42 = 87, and
• 87 ≡ 45 ≡ 3 (mod7)
• 87 ≡ 42 ≡ 2 (mod5)
The CRT then says that x ≡ 87 (mod(7×5)) ≡ 87 (mod35), which is to say any number x = 87 + 35n satisfies both congruences (where n is any integer).
So there are 3 possible 2-digit numbers that work: {17, 52, 87}.
To confirm:
• 17 ≡ 15 + 2 ≡ 2 (mod5) and 17 ≡ 14 + 3 ≡ 3 (mod7)
• 52 ≡ 50 + 2 ≡ 2 (mod5) and 52 ≡ 49 + 3 ≡ 3 (mod7)
• 87 ≡ 85 + 2 ≡ 2 (mod5) and 87 ≡ 84 + 3 ≡ 3 (mod7)
Joylin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. She knows that the total cost to download 3 videos was $12. Her work to find the equation is shown below.
Joylin’s Work
Step 1
k = StartFraction 3 over 12 EndFraction = 0.25
Step 2
y = 0.25 x
Where did Joylin make her first error?
Answer:
Step-by-step explanation:
Jocelyn was attempting to find out how much she will be charged per download. She has the fraction upside down. To find the amount of money per download, the fraction should be $12/3downloads to get $4/1download. That is the slope of the equation, the rate of change or, for us, the fact that your cost will go up $4 for every single video you download. The equation would then be
y = 4x
The way she has it, we are paying only a quarter for a download. If that be the case, for 3 downloads we would only be paying .75, but it says we pay $12, so we know something is wrong right there.
Answer:
The answer is A
Step-by-step explanation:
If the ratio between the radii of two spheres is 3:7, what is the ratio of
their volumes?
A. 27:343
B. 9:49
C. 9:7
D. 21:49
Answer:
A
Step-by-step explanation:
Ratio of volume is ratio of the radius raised to the power 3.
The ratio of the volume of the spheres is 27 : 343
What is a Sphere?A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
The ratio of the radii of two spheres is 3:7.
Therefore, if the smaller sphere has a radius of 3x, then the larger sphere has a radius of 7x.
The ratio of the volumes of the two spheres is given by:
(Volume of smaller sphere) : (Volume of larger sphere) = (4/3)π(3x)³ : (4/3)π(7x)³
Simplifying the above expression, we get:
(Volume of smaller sphere) : (Volume of larger sphere) = 27 : 343
Hence , the ratio of the volumes of the two spheres is 27 : 343
To learn more about sphere click :
https://brainly.com/question/27933834
#SPJ5
As gamers progress through a video game, they earn a higher rank. In an online gaming network, gamers can see what fraction of the way they
are to the next rank. The line plot displays the fraction of the way to the next rank for all the gamers in the network. What fraction of gamers
have bof the way to go to the next rank?
Gamers Progress to Next Rank
Number
of
Gamers
Fraction of Progress to Next Level
A
A.
c.)
Question isn't well formatted, a picture if the question is attached below.
Answer:
1 / 4
Step-by-step explanation:
From the plot, each dot represent a gamer ; therefore, the total number of gamers will be counting all the dots ;
Total number of gamers = 24
Fraction of gamers that have 7 / 8 of the way to go ;
This means that they have 7/8 of the way left to proceed to next level ;
The fraction is : 1 - 7/8 = 1 /8
This means the number of of people whose progress are on 1/8 ; this is 6
Hence, fraction of gamers that have 7/8 of the way to go :
6 / 24 = 1 / 4
Someone plz help me on this
Answer:
9²+x²=13²
81+x²=169
x²= 169-81
x²=88
X= 9.38
x=9.4[tex]x = \sqrt{88} [/tex]
Find the difference quotient for f(x) = x2 + 4.
I am trying to simplify a difference quotient with the form
f(x+h)−f(h)/h
if f(x)=2/x2 I have attempted to cancel out the denominator of the numerator by the least common denominator method. I know that I can solve this using implicit differentiation, but am trying to use the difference quotient to get the partial derivative
Here is my work so far:
f(x+h)−f(x)(h)
=f(2/(x+h)2)−f(2/x2)h
=(2/(x+h)2)−(2/x2)h
here I multiply by the LCD
=(2(x2)−2(x+h)2)/(x2(x+h)2)h
Here I expand out the top and cancel out 2x2
=(2x2−(2x2+4xh+2h2))/(x2(x+h)2)h
=−(4xh+2h2)/(x2(x+h)2))h
Here I think I should multiply by 1/h to get rid of the h on the bottom
I end up with:
=4xh+2h2hx2(x+h)2
factor out an h
=−4x+2hx2(x+h)2
The probability of drawing a red candy at random from a bag of 25 candies is 2/5. After 5 candies are removed from tehe bag, what is the probability of randomly drawing a red candy from the bag?
Given:
The probability of drawing a red candy at random from a bag of 25 candies is [tex]\dfrac{2}{5}[/tex].
To find:
The probability of randomly drawing a red candy from the bag after removing 5 candies from the bag.
Solution:
Let n be the number of red candies in the bag. Then, the probability of getting a red candy is:
[tex]P(Red)=\dfrac{\text{Number of red candies}}{\text{Total candies}}[/tex]
[tex]\dfrac{2}{5}=\dfrac{n}{25}[/tex]
[tex]\dfrac{2}{5}\times 25=n[/tex]
[tex]10=n[/tex]
After removing the 5 candies from the bag, the number of remaining candies is [tex]25-5=20[/tex] and the number of remaining red candies is [tex]10-5=5[/tex].
Now, the probability of randomly drawing a red candy from the bag is:
[tex]P(Red)=\dfrac{5}{20}[/tex]
[tex]P(Red)=\dfrac{1}{4}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{4}[/tex].
Reciprocal of 2 (1/7) is _
Answer:
[tex]\frac{7}{15}[/tex]
Step-by-step explanation:
To find the reciprocal of a fraction, simply switch the numerator and denominator.
Since [tex]2\frac{1}{7}[/tex] is a mixed number, start by converting it to a common fraction using [tex]a\frac{b}{c}\implies \frac{a \cdot c+ b}{c}[/tex]
Therefore, [tex]2\frac{1}{7}[/tex] as a common fraction is:
[tex]\frac{2\cdot 7+1}{7}=\frac{14+1}{7}=\frac{15}{7}[/tex]
Now switch the numerator and denominator to find the reciprocal:
[tex]\rightarrow \boxed{\frac{7}{15}}[/tex]
Answer:
7/15
Step-by-step explanation:
2 1/7 is 2*7+1/7 = 15/7. The reciprocal of this would happen if you flip it upside down. Thus, the reciprocal is 7/15.
Kay must re-carpet her circular den. If the diameter of the
den is 6 yards, what is the total square yardage of carpet
that is needed?
Answer:
28.26² yards
Step-by-step explanation:
Diameter is 6.
Radius=Diameter/2. r=6/2
Area=Pi*Radius²
I'll just use 3.14 for pi
Area=3.14*3²
3²=9 3.14*9=28.26
so the answer 28.26²
Find the area of the triangle.
PLEASE HELP ASAP!
Answer:
D 111.4 cm²
Step-by-step explanation:
What is the value of x in the equation 2x + 3y = 36, when y = 6?
8
9
27
36
Answer:
x = 9
Step-by-step explanation:
we can plug in the given value for y into the equation to find x
2x + 3y = 36
2x + 3(6) = 36
2x + 18 = 36
2x = 18
x = 9
Answer:
x = 9
Step-by-step explanation:
2x + 3y = 36
Let y=6
2x+3(6) = 36
2x+18 = 36
Subtract 18 from each side
2x+18-18 =36-18
2x = 18
Divide by 2
2x/2 =18/2
x = 9
PLEASE HELP DUE IN 15 MNUTES MARKING BRAINLIEST AND 15 POINTS YOU DONT HAVE TO EXPLAIN MUCH
Answer:
see below
Step-by-step explanation:
11a -2(x^2 -3)
Distribute
-2*x^2 -2(-3)
-2x^2 +6
11b 2x(x+4)
Distribute
2x*x +2x*4
2x^2 +8x
12 The perimeter is the sum of all sides
The top is equal to the bottom and the left side is equal to the right
x-10 + x+20+x-10+x+20
Combine like terms
4x +20
I need the answer to his question soon, please help!
Answer:
b=x+1
Step-by-step explanation:
The equation is:
[tex]2x^2}+x-1=\frac{1}{2} b(4x-2)[/tex]
Isolate b by subtracting and dividing.
You end up with b= x+1
