Answer:
-0.5
Step-by-step explanation:
If there were 23 cats, 15 snakes, and 8 dogs, how many legs would there be in all?
124
step by step explanation4×23 =92(for cats)
4×8=32(for dogs)
then 92+32=124
What is the inverse of the function y = -8x + 15?
A. y = 1/8x + 15
B. y = -8x - 15
C. y = (x - 15)/-8
D. y' '= -1/8x + 1/15
Answer:
c) ( x-15)/-8
Step-by-step explanation:
c) (x-15) / -8
Answer:
Solution given:
y = -8x + 15
interchanging role of x and y
we get
x=-8y+15
solve for y
x-15=-8y
divide both side by-8
we get
-8y/-8=(x-15)/-8
y=(x-15)/-8
:.
C. y = (x - 15)/-8 is a required inverse.
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
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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.
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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.
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
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.
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
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
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔTUV
~ ____
Find the missing number.
____ × 7 = 91
please help me
Answer: 13
Step-by-step explanation:
Take 7 to the other side and divide 91 by 7, the answer will be 13.
The figure below is a parallelogram. AB = 5 cm and BC = 3 cm. Find angle ABC
Step-by-step explanation:
her it go u can see it.. have a nice Day
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]
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.
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
Find the area of the triangle.
PLEASE HELP ASAP!
Answer:
D 111.4 cm²
Step-by-step explanation:
pls pls pls pls help me
.................................
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
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
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
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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
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.
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)
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].
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
Multiply reciprocal of (-4/5) and 25/16 and add additive inverse of (-4/5) we get _____________
1. Why should you plan for retirement now?
2. What are 2 different ways that you can save for retirement and what are the benefits of these methods?
3. Why is it important to make sure your retirement account has compounded interest?
4. What is one example of something you could do in the next 5 years to start saving for retirement?
5. What advice you would give to a friend or family member who is thinking of retiring soon? (Right answer only please) :)
1. Because if you have a plan early then you can start saving early, which increases the amount you will have. The future is also unpredictable
2. Set aside money over a set period (put aside money each month, year). You can set up a plan through your employer ie 401K, or set up an individual retirement plan (IRA). Your employer takes a percentage you choose out of your check each month (commonly 3%, 5%, %10, 15%). The money is taken from your paycheck before taxes therefore it lowers your income and you pay less in taxes. An IRA is similar to a bank account as you choose when and how much you put in over time. Both can be withdrawn at 59 1/2.
3. Compound interest essentially earns you more money for retirement. It can be important because you earn more than with regular interest.
4. Start balancing expenses, make a plan for retirement and practicing saving. It would also be beneficial to start setting aside money for retirement even if you haven't opened an account yet.
5. Make sure you can comfortably live off of your retirement. If you can't it would be best to maximize your retirement and savings, or consider working seasonally or part-time
Jan is the regional manager of Graphic DesignWorks. She uses a company
cell phone that costs $125 each month. She manages 5 branches of Graphic
DesignWorks equally. How much of her annual cell phone bill will each branch
pay for?
A. $125
B. $300
C. $150
D. $500
Answer:
300
Step-by-step explanation:
If each branch pays the bill equally, and the bill accounts for a year's worth of pay, then you should multiply 125*12~giving you 1500
Then you divide 1500/5, since the 5 company's pay equally... this is equal to 300 dollars.
Answer:
B. $300
Step-by-step explanation:
annual : yearly
$125 per month for 12 months
125(12) = 1500
$1500 equally split among 5 branches
1500/5 = 300
Each of the 5 branches contributes $300 each per year to Jan's cell phone bill.