Answer:
x = - 3, y = 6
Step-by-step explanation:
For the 2 sides to be equal then the coefficients of the imaginary terms and the real terms must be equal.
Given
- 3 + yi = x + 6i , then
x = - 3 and y = 6
1) If you are driving 75 MPH and you sneeze you lose sight of the road for 6 seconds. How many feet do you drive in those 6 seconds? explain you're answer, pls !
Answer:
0.125 feet
75/60 to get minutes
0.02/60 to get seconds
multiply by 6
Step-by-step explanation:
sum compounded alluny
Shar
d) The difference between the annual and semi-annual compound interest on
of money is Rs 482 at the rate of 20 % per annum for 2 years. Find the sum
Answer:
Rs 20000
Step-by-step explanation:
Let the sum is x.
The rate of interest, r=20%=0.2
Time, t=2 years.
Total amount after t years, [tex]A= x \left(1+\frac{r}{n}\right)^{tn}[/tex]
The value of n when compounded annually, n=1
So, the total amount,
[tex]A_1=x \left(1+\frac{0.2}{1}\right)^{2\times 1}=x(1.2)^2[/tex]
The compound interest when compounded annually,
[tex]I_1 =x(1.2)^2-x[/tex]
The value of n when compounded semi-annually, n=2
So, the total amount, [tex]A_2 = x \left(1+\frac{0.2}{2}\right)^{2\times 2}=x(1.1)^4[/tex]
The compound interest when compounded semi-annually,
[tex]I_2 =x(1.1)^4-x[/tex]
As the difference between the annual and semi-annual compound interest on x amount of money is Rs 482, so
[tex]I_2-I_1=482 \\\\(x(1.1)^4-x)-(x(1.2)^2-x)=482 \\\\x(1.1)^4-x(1.2)^2=482 \\\\x(1.1^4 - 1.2^2) = 482 \\\\x(0.0241) = 482 \\\\x=482/0.0241 \\\\[/tex]
x=20000
Hence, the sum is Rs 20000.
The number of gifts Nikki can wrap varies directly with the the amount of time she spends wrapping them. She can wrap 14 gifts in 2 hours. How many gifts can she wrap in 6 hours?
Answer:
42 gifts.
Step-by-step explanation:
14/2=7
7*6=42
What Is the solution for the equatlon 6x - 8 = 4X? X=
(Input whole number only).
Answer:
x = 4
Step-by-step explanation:
6x - 8 = 4x
-6x -6x
-8 = -2x
-----------
-2
x = 4
The lines graphed below show the amounts of water in two tanks as they were being filled over time.For each tank, explain whether or not there is a proportional relationship between the amount of water, in gallons, and the time, in minutes. If there is a proportional relationship, identify the unit rate. Use specific features of the graph to support your answer.
3 points
Answer: Tank B is proportional because tank A doesn't work because it doesn't go through (0,0) but if it was y=kx, then it would have to go through (0,0), since 0=k*0. For tank b k is 300.
I got 100 for this so gl
The relationship between time and the volume of water in Tank B is proportional.
What is a line graph?A line graph is a type of graph where the data points are connected by segments of straight lines.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a line graph shown in the picture.
As we know,
Variables in a linear function will be proportionate if it passes through the origin.
y = mx + b
b is y-intercept = 0
y = mx
The relationship between time and the volume of water in Tank B is proportionate since the straight line passes through the origin.
Thus, the relationship between time and the volume of water in Tank B is proportional.
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what is the domain of this graph
Answer:
A
Step-by-step explanation:
b is the range
Write an equation for the proportional relationship shown in the table.
x 0.5
1
1.5
2
y
19
38
76
57
y= x
9514 1404 393
Answer:
y = 38x
Step-by-step explanation:
The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...
y = kx
y = 38x
solve for the number
18 is 9% of what number?
The answer is 50 hope this helps you!
Answer: 200
Work: I just did 18 x 100 divided by 9, and you get the number. 18 x 100 = 1800, and I divided it by 9, and I got 200. I checked it by doing 200 x .09 (Percentage) and I had gotten 18. (Check) I hope this helps, and happy Holidays! :)
Solve the system by substitution
Answer:
y=1 x=9
Step-by-step explanation:
-4(9y) + y = -35
-36y+y=-35
-35y= -35
y=1
To check-
-4(9) + 1 = -35
-36 + 1 =-35
What is the value of cos(4pi/3)
Answer: B.-1/2 on edg
Answer:
Answer: B.-1/2
Step-by-step explanation:
Find the 15th term: 1/2, 1/4, 0, -1/4,...
Step-by-step explanation:
a(n) = a +(n-1)d
d=1/4 -1/2 =-1/4
°.° a(15) = 1/2 +(15–1) -1/4
a(15) = 1/2 -3.5
=-3
hope it will help
What is the price for the amount of fuel that Roselyn will use for the entire drive?
Answer:
$15
Step-by-step explanation:
Total distance to be covered = 150km
Fuel efficiency = 6 km per l
150 / 6 = 25
Total fuel cost needed (including existing fuel) = Fuel needed x cost per l fuel
= 25 x 0.6
= 15
Given f(x) = 6(1 − x), what is the value of f(−7)?
Answer:
[tex]{:}\longrightarrow\tt f (x)=6 (1-x)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6 (1-(-7))[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6 (1+7)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6(8)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=48 [/tex]
[tex]\therefore\sf f (-7)=48 [/tex]
Answer:
:⟶f(x)=6(1−x)
{:}\longrightarrow\tt f (-7)=6 (1-(-7)):⟶f(−7)=6(1−(−7))
{:}\longrightarrow\tt f (-7)=6 (1+7):⟶f(−7)=6(1+7)
{:}\longrightarrow\tt f (-7)=6(8):⟶f(−7)=6(8)
{:}\longrightarrow\tt f (-7)=48:⟶f(−7)=48
\therefore\sf f (-7)=48∴f(−7)=48
A coat is on sale for $76 tax is 8% what is the amount of tax
Answer:
$6.08
Step-by-step explanation:
8% = 0.08
76 × 0.08
= $ 6.08
Andre ran 2 km in 15 minutes Jada ran 3 km in 20 minutes did they run at the same speed?
Answer:
No
Step-by-step explanation:
Speed = Distance/Time
andre: 2km/15min = 4.97097
jada: 3km/20min = 5.59234
jada ran faster
Help needed ASAP plzs .....
What would be the domain and range
Answer:
the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
A basket contains 40 mangoes out of which 22 are good . Find the percentage of the mangoes that are bad
Answer:
45% of the mangoes are bad.
Step-by-step explanation:
Given that:
Number of mangoes in basket = 40
Number of good mangoes = 22
Number of bad mangoes = Total mangoes - Good mangoes
Number of bad mangoes = 40-22
Number of bad mangoes = 18
Percent of bad mangoes = [tex]\frac{bad\ mangoes}{total\ mangoes}*100[/tex]
Percent of bad mangoes = [tex]\frac{18}{40}*100[/tex]
Percent of bad mangoes = 0.45*100 = 45%
Hence,
45% of the mangoes are bad.
A city planner developed the function P to model the population of a city over the next 25 years, where P(t) is the projected population of the city t years from now. According to the model, which of the following gives the rate at which the population of the city will be changing at time t=5 ?
A) P(5)
B) P(6)−P(4)
C) P(5)/5
D) P'5
Answer:
D
Step-by-step explanation:
P prime of t indicates a rate of change
The required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.
Given that,
A city planner developed the function P to model the population of a city over the next 25 years, where P(t) is the projected population of the city t years from now.
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
The rate of the population expression at t = 5 is given by the differentiation of the expression at t = 5 because differentiation represents the rate for the given equation of population. i.e.
P'5
Thus, the required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.
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what is 1.75 divided by 7
Answer:
0.25
Step-by-step explanation:
1.75/7 would equaln0.25, use your calculator if you have one
The decimal 1.75 when divided by the number 7 gives the decimal 0.25.
In mathematics, a decimal is a base-10 numeral system applied to characterize real numbers. It's known as "decimal" because it uses ten dissimilar symbols, videlicet the digits 0 through 9, to portray all achievable values. The decimal system is the most generally used numeral system in day-to-day life.
The decimal system works on a positional memorandum principle, where each digit's position determines its value within the number.
The decimal 1.75 can be written as a fraction as follows:
[tex]1.75 = \dfrac{175}{100}[/tex]
[tex]= \dfrac{7}{4}[/tex]
To divide 1.75 by 7, let's divide [tex]\dfrac{7}{4}[/tex] by 7.
[tex]\dfrac{7}{4} \div 7\\= \dfrac{7}{4} \times \dfrac{1}{7}\\= \dfrac{1}{4} \times 1\\= \dfrac{1}{4}\\= 0.25[/tex]
Thus, 0.25 is 1.75 divided by 7.
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There are 91 days until the craft sale. Autumn needs to make 817 rings before the sale. She wants to make about the same number of rings each day. About how many rings should she make each day? Explain how Autumn can use compatible numbers to estimate
Answer:
9 rings
Step-by-step explanation:
Given that :
Number of days until craft sale = 91 days
Number of rings required to make before sale = 817 rings
If same number of rings is made per day;
Number of Daily ring production will be ;
817 / 91
= 8.978 rings
= 9 rings (approximately)
I need help plz!!!!!
Answer:
x = 0
Step-by-step explanation:
If one were to fold this figure in half over the line x = 0, then one would end up with a single figure, with no overhang. Hence x = 0 is the line of symmetry. Note; x = 0, can also be called the y-axis.
Answer:
Option D) x = 0
Step-by-step explanation:
Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object. Here we see that the object's Axis of symmetry is the line x =0
The line x = 0,1,2,3,4,5,..... and so on are all vertical lines and
The line y=0,1,2,3,4,5,..... and so on are all horizontal lines
In this this case the line x = 0 is the Axis of symmetry which divides the object in two equal halves.
Tax is paid on meals in a restaurant.
The price of a meal is $65.35 this includes the tax of $11.45.
What is the percentage tax?
Answer:
17.52%
Step-by-step explanation:
65.35/11.45 = 0.1752
.1752 * 100
= 17.52
what is the slope of the line represented by 5x- 12y = 24
Answer: Slope= 0.833/2.000= 0.417
Step-by-step explanation:
Answer:
x=12/5y+24/5
Step-by-step explanation:
5x-12y=24
add 12y to both sides
problem comes down to 5x=12y+24
divide everything by 5
jasmine deals 2 cards. whats the probability of dealing 2 hearts in a row if she didn't replace the card after it was dealt?
WILL GIVE BRAINLIEST FOR CORRECT ANSWER
whats the answer giving brainliest MATH
Answer:
the answer is b
Step-by-step explanation:
Answer:
D i believe
Step-by-step explanation:
hope this helped!!!
-BB
can someone please help me im struggling on this one
Answer:
Equation: 32° + 30° + x° = 180°Solved: x = 118°Step-by-step explanation:
3 angles = 180°32° + 30° + x° = 180°62° + x = 180°Subtract 62 from each side, so it now looks like this: x = 118°So, x is 118°I hope this helps!
The diameter of a small pizza is 16 centimeters this is 2 centimeters more than two fiths of the diameter of a large pizza find the diameter of the large pizza
Answer:
35 cm
Step-by-step explanation:
Diameter of small pizza = 16
Let Diameter of large pizza = x
Diameter of small pizza = 2/5(x) + 2
2/5(x) + 2 = 16
(2x / 5) + 2 = 16
2x / 5 = 16 - 2
2x / 5 = 14
multiply both sides by 5
2x = 14 * 5
2x = 70
Divide both sides by 2
x = 70/2
x = 35
Diameter of large pizza = 35 mm
A sponge filters water to eat microscopic food. A sponge can filter 8 liters of water in 10 hours or 12 liters in 15 hours. Is this relationship proportional?
Answer:
Yes.
Step-by-step explanation:
It is given that, A sponge can filter 8 liters of water in 10 hours or 12 liters in 15 hours.
8 L = 10 h
1 h = [tex]\dfrac{10}{8}[/tex] = 1.25 h
or
12 L = 15 h
1 h = [tex]\dfrac{15}{12}[/tex] = 1.25 h
Hence, this relationship is proportional.
will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
x=15
Step-by-step explanation: