The total impedance is 9+8i ohm.
From the question, we have
Z1= 2+9i
Z2= 7-i
we know,
total impedance in series,
Ztotal = Z1+Z2
= 2+9i+7-i
= 9+8i
The total impedance is 9+8i ohm.
Addition:
The act of combining two or more items is known as addition. The process of computing the sum of two or more numbers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition. One-digit numbers can be added simply for solving addition problems, however for bigger numbers, we divide the numbers into columns using their corresponding place values, such as ones, tens, hundreds, thousands, and so on.
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TUESDAY
2. Michael's age is 3 more than twice Ashley's age. The sum of their ages is 18. If M
represents Michael's age and A represents Ashley's age, which system of equations
represents the statements above?
A + M = 18
M = 2A + 3
This is the SoE used, hope I helped
The system of the equations are M= 2 (A + 3) and M+A = 18
What is the system of equation?One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given that Michael's age is 3 more than twice Ashley's age.
M= 2 (A + 3)
If M represents Michael's age and A represents Ashley's age.
The sum of their ages is 18.
M+A = 18
Simplifying the expression,
M= 2 (A + 3) and M+A = 18
Therefore, the system of the equations are M= 2 (A + 3) and M+A = 18
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A student lives 10 miles from school. He is trying to calculate the time it takes him to drive to school, t, as a function of the speed in which he drives, s. Which equation could be used to help him determine his time?
The equation that can help the student to determine his time is t = 10 / s.
How to use equation to determine time?The student lives 10 miles from school. He is trying to calculate the time it takes him to drive to school, t, as a function of the speed in which he drives, s.
The equation that the student can use to determine time can be represented as follows;
The speed formula can be defined as the rate at which an object covers some distance.
speed = distance / time
where
distance = 10 miles
t = time
s = speed
Hence,
speed = distance / time
time = distance / speed
Therefore, the equation is t = 10 / s
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Solve for x
(x + 2) (x + 3) = 0
please help
Answer:
-2,-3
Step-by-step explanation:
only -2 or -3 will make one side equal 0 so the equation will equal 0
with -2
(-2+2)(x+3)=0
0(x+3)=0
0x+0=0
0=0
-2 works
with -3
(x+2)(-3+3)
(x+2)0=0
0x+0=0
0=0
-3 works
Please help me!!!!!!
The number of hours June needs to work [tex]11\frac{1}{2}[/tex] hours more to reach the target.
According to the question,
We have the following information:
June wants to work [tex]14\frac{1}{4}[/tex] hours and she has already worked [tex]2\frac{3}{4}[/tex] hours.
Now, the remaining number of hours of work can be easily found by subtracting the hours worked from the total number of hours she wanted to work.
Now, converting the mixed fractions:
[tex]14\frac{1}{4} = \frac{57}{4}[/tex] hours
[tex]2\frac{3}{4} = \frac{11}{4}[/tex] hours
Number of hours she needs to work:
57/4 - 11/4
(57-11)/4
46/4
Converting this fraction into the simplest form:
23/2
Now, converting this into mixed fraction:
[tex]11\frac{1}{2}[/tex] hours
Hence, the correct option is D.
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Write the following equation in slope-intercept form by following the steps:
y − 3 = 53(x + 6)
Step 1: Distributive Property
Step 2: Simplify
Step 3: Addition Property of Equality
Step-by-step explanation:
y-3=5/3(x+6)
y-3=5/3x+10
y=5/3x+13
No further work can be done.
The required equation in slope-intercept form is given as y = 5/3x + 13.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
What is slope-intercept form?Slope intercept form is given as y = mx + c, where m is the slope of the line and c is y-intercept of the line.
Here,
Given equation,
y − 3 = 5/3(x + 6)
Following distributive Property
y - 3 = 5/3x + 5/3(6)
Following Simplification,
y - 3 = 5/3x + 5(6/3)
y - 3 = 5/3x + 10
Addition 3 on both sides,
y - 3 + 3 = 5/3x + 10 + 3
y = 5/3x + 13
Thus, the required equation in slope intercept form is given as y = 5/3x + 13.
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What is the value of the expression when a = 2 and b = 3 ? 4a + b - 2 Question 1 options: 7 9 12
Answer:
9
Step-by-step explanation:
4 * 2 + 3 - 2 =
= 8 + 1 =
= 9
Identify the slope and y-intercept of the function y=-5x+4
Answer:
slope=-5; y-int=4
Step-by-step explanation:
The slope-intercept form:
y=mx+b
m=slope b=y-int
y=-5x+4
slope=-5 y-int=4
PLEASE GIVE BRAINLIESTAnswer:
slope = -5; y-int= 4
Step-by-step explanation:
You find the slope by comparing the given equation to y=mx+b where m is equal to the slope.
You find the y-intercept by setting x=0 and solving for y
y=-5(0)+4
y=0+4
y=4
A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 72 feet per second. The height in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t²+72 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is feet.
(Simplify your answer.)
The time taken for the rocket to reach its maximum height is; 2.25 seconds.
The maximum height reached by the toy rocket as evaluated from the given parameters is; 88 feet.
What is the maximum height reached by the rocket?It follows from the task content that the maximum height reached by the rocket is to be determined.
The given function is; h (t) = -16 t² + 72t + 7.
Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.
Therefore; at maximum height;
h'(t) = 0
h'(t) = -32t + 72 = 0
-32t = -72
t = -72/-32
t = 2.25 seconds.
Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.
Also, the maximum height reached by the rocket is at; h (2.25);
h(2.25) = -16(2.25)² + 72 (2.25) + 7
= -81 + 162 + 7
= 88.
The maximum height reached is; 88 feet.
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Fill in the blanks to create a true statement. If ST =QR, then QR=ST by ________,of_______
If ST = QR, then QR = ST by the symmetric property of congruence.
What is symmetric property?The symmetric property states that -
For all real numbers [x] and [y] , if x = y , then y = x .
Given is if ST =QR, then QR=ST.
If ST = QR, then QR = ST by the symmetric property of congruence. If ST = QR, then we can say that ST is congruent to QR.
Therefore, if ST = QR, then QR = ST by the symmetric property of congruence.
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Calculate the value of R, without rounding any intermediate values. Round your final answer for R to the nearest hundredth.
R=21,000[0.052/4/(1+0.052/4)²⁰-1]
R=
(Round to the nearest hundredth as needed.)
The value of R, without rounding any intermediate values is $882.08.
How to find the value of R?Given data:
R=21,000 [0.052/4÷ (1+0.052/4)²⁰-1]
Now find the value of R
Solving for R
R=21,000 [0.052/4÷ (1+0.052/4)²⁰-1]
R=21,000 [0.013 ÷ (1+0.013)²⁰-1]
R=21,000 [0.013 ÷ (1.013)²⁰-1]
R=21,000 [0.013 ÷ (1.2947589 -1)]
R=21,000 [0.013 ÷ (0.2947589)]
R=21,000 (0.044103842)
R = $882.076
R =$882.08 (Approximately)
The value of R is $882.08.
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Create a table of 6-8 x-values that start at Zero and the
Observed Frequencies should make a “hill” like a normal distribution (though it doesn’t have to be a
perfect symmetric hill, nor does it have to be centered at the middle of the x-values – I would
recommend that you keep the frequencies over 5 at the edges of the “hill”). Determine if your made-up
frequencies make a binomial distribution through a full inferential test.
Answer:
the table of 6-8 is the values of x so starting with 0 would be 568
Complete (assume $50,000 of overhead to be distributed): (Round your Ratio answers to the nearest hundredth.) Sq. Ft. Ratio Amount of Overhead Allocated Dept. A 20,000 A B Dept. B 80,000 C D
The ratios were calculated using the square footage each department occupied and the overhead expenses split equally between the two departments.
Ratio Amount
Department A 1/5 $10,000
Department B 4/5 $40,000
Ratio;-
Ratios can be represented using fractions, decimals, and percentages because they are fractional numbers.
Similar to proportions, ratios display how much of one value or variable fits within another.
Total overhead = $50,000
Department Square Feet Ratio Amount of Overhead Allocated
Dept. A 20,000 A = 1 B = $10,000 ($50,000 x 1/5)
Dept. B 80,000 C = 4 D = $40,000 ($50,000 x 4/5)
Ratios = 20,000:80,000
= 1:4
Sum of Ratios = 5
As a result, Department A will suffer $10,000 while Department B will receive $40,000 based on the cost driver allocation ratios.
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1. A softball team has $1,500 to buy softball uniforms. Each uniform costs $95. Does the
team have enough money to buy 15 softball uniforms?
The cost of 15 uniform after multiplication is $1425. The team have enough amount to buy 15 softball uniforms.
What is multiplication?
The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The numbers that are multiplied are referred to as the factors. Multiplying in mathematics is the addition of equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.
Here Number of uniform need by team = 15
Cost of one uniform = $95
Now , Total cost of 15 softball uniforms is,
=> Number of uniform * cost of one uniform
=> 15*95
=> $1425.
Here the team has $1500. Cost of 15 uniform is $1425.
=> 1500-1425 =$75.
After buying 15 uniforms they have remaining $75.
Therefore the team have enough money to buy softball uniforms.
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how to find p-value for hypothesis test
The following are needed to find p-value for hypothesis test:
Determine the proper test statistic.Calculate the test statistic using the relevant sample properties.Specify the sampling distribution characteristics of the test statistic.To determine the p value, place your test statistic in the sampling distribution.What is the p value?The p value is a number calculated from a statistical test that describes the likelihood of finding a specific set of observations if the null hypothesis is true. P values are used in hypothesis testing to help determine whether the null hypothesis should be rejected.
Given the probability distribution of the statistic, p-values are calculated as the difference between the observed value and a chosen reference value, with a greater difference between the two values corresponding to a lower p-value.
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This is the way to find the p value that is required in a hypothesis test:
Choose the appropriate test statistic.Utilize the pertinent characteristics of your sample to calculate the test statistic.Indicate the features of the sample distribution for the test statistic.To determine the p value, place your test statistic in the sample distribution.What is the P value?The likelihood of receiving outcomes from a statistical hypothesis test that are at least as extreme as the actual results, assuming the null hypothesis is true, is known as the p-value in statistics.
The p-value provides the minimal level of significance at which the null hypothesis would be rejected as an alternative to rejection points. The alternative hypothesis is more likely to be supported by stronger evidence when the p-value is lower.
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Please! I will mark brainliest! I WILL GIVE U FIVE STARS!
Answer:
This is a complementary angle, which adds up to 90 degrees
8x + 7x = 90
15x = 90
x = 6
Which of these is an example of being "underwater" on a car?
A. Owing $4400 on a car that's worth $4800
B. Owing $8600 on a car that's worth $8200
C. Owing $7200 on a car that's worth $7500
D. Owing $5700 on a car that's worth $6600
The required, example of being "underwater" on a car is option B, owing $8600 on a car that's worth $8200.
What is inductive reasoning?Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.
Here,
Being "underwater" on a car means owning more on a car than it is currently worth.
Based on the given options, the example of being "underwater" on a car is option B, owing $8600 on a car that's worth $8200.
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Please help with this
Answer:
B
Step-by-step explanation:
No, because for x = 7, there are two values of y
Answer:
[tex]\huge\boxed{\sf No.}[/tex]
Step-by-step explanation:
For a relation to act as a function, the x-values (domain) of the relation should NOT be repeated.
Here,
In domain(x-values), 7 is being repeated. Hence, the relation is not a function.
[tex]\rule[225]{225}{2}[/tex]
Suppose f(x)=x8(3−2x3).
(a) The roots of f(x) are x= ?
(b) As x→∞, f(x)→ ?
(b) As x→−∞, f(x)→ ?
For the given function f(x) = x⁸(3-2x³) then
a. The roots of the function f(x) are x= 0 or ∛3/2.
b. When x →∞ then f(x) →∞
c. And x→-∞ then f(x) →-∞.
As given in the question,
Given function is equal to :
f(x) = x⁸(3-2x³)
a. Simplify the given function f(x) = x⁸(3-2x³) to get the roots of the f(x) we get,
f(x) =0
x⁸(3-2x³) = 0
⇒ x =0 or 3 -2x³ =0
⇒ x=0 or x = ∛3/2
b. When x → ∞
⇒x⁸ →∞ and (3-2x³) → ∞
⇒ x⁸(3-2x³) → ∞
When x →∞ then f(x) →∞
c. When x → -∞
⇒x⁸ →∞ and (3-2x³) →- ∞
⇒ x⁸(3-2x³) →- ∞
When x →-∞ then f(x) →-∞
Therefore, for the given function f(x) = x⁸(3-2x³) then
a. The roots of the function f(x) are x= 0 or ∛3/2.
b. When x →∞ then f(x) →∞
c. And x→-∞ then f(x) →-∞.
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A mixture of paint calls for 1/3 cups of red paint and 3/4 cups of yellow paint. How many cups of red paint would be needed for every 1 cup of yellow paint?
The cups of red paints for 1 yellow cup is 4/9 cups
How to determine the cups of red paints?From the question, we have the following parameters that can be used in our computation:
Red paint = 1/3 cups
Yellow paint = 3/4 cups
When these parameters are represented as ratio, we have the following expression
Ratio = Red : Yellow
This is then represented as
Red : Yellow = 1/3 : 3/4
When the number of yellow cups is 1, we have
Red = 1/3/3/4
Express as products
Red = 1/3 * 4/3
Evaluate
Red = 4/9
Hence, the red cups is 4/9 cups
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Write an equation of the line that passes through the given point
and is (a) parallel and (b) perpendicular to the given line.
(6,2)
Answer:
B FS
Step-by-step explanation:
1. Find m<4.
2. Find m<3
Answer:
angles 4 is 88 degrees
Angles 3 is 92 degrees
Step-by-step explanation:
all 3 of angles of a triangle equal 180
47+45=92
180-92=88
Angles 4 is 88 degrees
Now since 3 is on a flat plane next to 4 we subtract 88 from 180 to find angle 3
180-88=92
92 degrees is angle 3
Hopes this helps please mark brainliest
Convert 38 grams to ounces. (1 gram = 0.0352 ounce)
1,079.55 ounces
0.0009 ounce
13.376 ounces
1.3376 ounces
38 grams is equal to option d 1.3376 ounces.
Given,
We have to convert 38 grams to ounces
1 gram = 0.0352 ounce
Difference between ounce and gram;
In the United States and a few other nations, i.e., anyplace that is not metric, ounces are the main unit of mass used. It turns out that 1 ounce has a lot more mass than 1 gram if you're wondering how an ounce and a gram compare. In actuality, 28.35 grams are almost equal to 1 ounce.
Here,
1 gram is given as 0.0352 ounce
We have to convert 38 grams
Then,
38 x 0.0352 = 1.3376 ounces
That is,
38 grams is equal to option d 1.3376 ounces.
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Answer:
1.3376
Step-by-step explanation:
i did the 3.06 test and got it right
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (-3,1) (-7,-2)
Line 2: (2,-1), (8, 4)
The slope of line 1 is
.
The slope of line 2 is
.
Answer:
Answer:
We use the formula:
y2 - y1 / x2 - x1
-2 - 1 / -7 - (-3) ---> this gives us -3 / -4 or simply 3/4. So our slope for line 1 is 3/4.
Now using the formula, (y - y1) = m (x - x1) we find the line.
(y - 1) = 3/4 (x - (-3)) ---> (y - 1) = 3/4x + 9/4.
Now we add one to each side to get y = 3/4x + 13/4.
Now for line 2, we use the same process and formulas.
Find the slope of line 2.
4 - (-1) / 8 - 2 gives us 5/6. Our slope for line 2 is 5/6.
(y - (-1)) = 5/6 (x - 2).
(y + 1) = 5/6x - 5/3 ---> now subtract one from both sides to get...
y = 5/6x - 8/3.
Since the two lines do not have the same slope or the negative reciprocal of one slope being the other, the two lines through the given points are neither parallel nor are they perpendicular
Write an equation for the function graphed above.
y=
The equation of the graph is (d) y =sec(x)
How to determine the equation of the function?The graph represents the given parameter
From the graph, we have the following points that can be used in our computation:
(0, 1), (6, 1) and (-6, 1)
This means that
When x = 0, 6 and -6 π radians
The value of y is 1
Solving further, we test these input values in each of the functions in the options
We have
y = sec(0) = 1
y = sec(6) = 1
y = sec(-6) = 1
See that the above values correspond to (0, 1), (6, 1) and (-6, 1)
Hence, the equation is (d) y =sec(x)
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Find the Hcf of .
1. 25 and 30
2. 18 and 30
3. 42 and 84
4. 36, 54 and 72.
A salesman earns 9% commission on all the merchandise that he sells. Last month he sold $3000 worth of merchandise. How much commission (in dollars) did he earn last month?
Answer:
Commission would be equal 270 dollars.
Step-by-step explanation:
To solve this we would use the formula:
Commission = SP x CP
Put values into the formula:
3,000 * 9%
3,000 * 9/100
30 x 9
Commission = $270
Thanks.
Colinda has just purchased her first home for $125,000. She put down a 20 percent down payment of $25,000 and took out a 6 percent mortgage for the rest. Her mortgage payment is $599.55 per month. How much of her first monthly mortgage payment is amortization?
The amount of her first monthly mortgage payment is amortization is: $99.55.
How to find the mortgage payment?First step is to find the down payment:
Down payment = $125,000 -$25,000
Down payment = $100,000
Second is to find the remaining mortgage
Mortgage = $100,000 × 6%
Mortgage = $6,000
Third step is to find the mortgage payment per month
Mortgage = $6,000 /12 months
Mortgage = $500
Now let find the amortize mortgage payment
amortize mortgage payment = $599.55 -$500
amortize mortgage payment =$99.55
Therefore the amortize payment is $99.55.
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180 miles in 3 hours
Answer: 60miles
Step-by-step explanation:
180/3 is 60 because 60+60+60=180 so in 1 hour it would be 60miles
A class contributed $19.00 in quarters and dimes to a local shelter. In all there were 100 coins. How many of each kind were there?
Step-by-step explanation:
x = number of dimes
y = number of quarters
x + y = 100
x = 100 - y
0.1x + 0.25y = 19
0.1(100 - y) + 0.25y = 19
10 - 0.1y + 0.25y = 19
10 + 0.15y = 19
0.15y = 9
y = 9/0.15 = 60
x = 100 - y = 100 - 60 = 40
there were 60 quarters and 40 dimes.
Condense the expression to a single logarithm using the properties of logarithms.
By the properties of logarithm , the condensed form of the given expression is [tex]A=log(\frac{xz^{4} }{y^{0.5} } )[/tex]
What is Logarithm?
The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm
The properties of Logarithm are :
log A + log B = log ABlog A − log B = log A/Blog Aⁿ = n log AGiven data ,
[tex]A = log ( x ) - ( 1/2 ) log ( y ) + 4 log( z )[/tex]
Now ,
From log Aⁿ = n log A
[tex]( 1/2 ) log ( y ) = log(y)^{1/2}[/tex]
[tex]( 1/2 ) log ( y ) = log(y)^{0.5}[/tex]
And ,
[tex]4 log( z ) = log(z)^{4}[/tex]
So , the A becomes ,
[tex]A = log ( x ) - log(y)^{0.5} + log(z)^{4}[/tex]
From log A + log B = log AB
[tex]log ( x ) + log(z)^{4} = log(xz^{4} )[/tex]
So , the equation A becomes ,
[tex]A=log(xz^{4} )- log(y)^{0.5}[/tex]
From log A − log B = log A/B
[tex]A=log(xz^{4} )- log(y)^{0.5}[/tex]
[tex]A=log(\frac{xz^{4} }{y^{0.5} } )[/tex]
Hence , the expression [tex]A = log ( x ) - ( 1/2 ) log ( y ) + 4 log( z )[/tex] can be simplified into a single logarithm as [tex]A=log(\frac{xz^{4} }{y^{0.5} } )[/tex]
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