Write the coordinates of the vertices after a translation 9 units left and 5 units down.
10
find the product of the complex numbers.express your answer in trigonometric form
z1=7(cos15°+isin15°) z2=2(cos110°+isin110°)
The product of the complex number z₁ = 7(cos15° + isin15°) and z₂ = 2(cos110°+isin110°) is z₁z₂ = 14(cos(125) + isin(125)]
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
z₁ = 7(cos15° + isin15°) and z₂ = 2(cos110°+isin110°)
z₁z₂ = (7 * 2)[cos(15 + 110) + isin(15 + 110)]
z₁z₂ = 14(cos(125) + isin(125)]
The product of the complex number z₁ = 7(cos15° + isin15°) and z₂ = 2(cos110°+isin110°) is z₁z₂ = 14(cos(125) + isin(125)]
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Dwane has a collection of stamps. He arranges them in 5 rows with 6 stamps in each row. 25 of the stamps are a rare edition. How many rare edition stamps does Dwane have?
Answer:
Dwane has 25 rare edition stamps, or 5/6.
Step-by-step explanation:
The question is basically answered in the problem.
It says, "25 of the stamps are a rare edition."
And the question is, "How many rare edition stamps does Dwane have?"
So, 25 is the answer.
Hope this helps!
∫eˣ²dx find integral show all steps
Answer:
[tex] \int \: e {}^{x {}^{2} } dx \\ y = {e}^{ {x}^{2} } \\ ln(y) = {x}^{2} \\ \frac{dy}{y} = 2xdx \\ dy/2x = {e}^{ {x}^{2} } dx \\ \int \: d( {e}^{ {x}^{2} } ) = \int {e}^{ {x}^{2} } .2xdx \\ \frac{{e}^{ {x}^{2} } }{2x} = \int \: {e}^{ {x}^{2} } dx \\ \int \: {e}^{ {x}^{2} } dx \: = \frac{1}{2x} {e}^{ {x}^{2} } + c[/tex]
PLEAE HELP ME I REALLY NEED IT!!!!!!!!!
Select the correct answer.
Which phrase best describes taxable income?
Answer:
The correct answer is D.
Step-by-step explanation:
Taxable income is the income that is reached by taxes established by the government, that is, those sums of money from individuals that the government levies with a tax contribution. The so-called deductions are deducted from these sums, with which the apportionment between taxable income and deductions results in the final amount of taxes to be paid.
At a local basketball game, all tickets are the same price and all souvenirs are the same price. Mr. Smith bought 2 tickets to this basketball game and 1 souvenir for
a total of $17.25. Ms. Lockhart bought 5 tickets to the same game and 2 souvenirs
for a total of $42.00. How much was a ticket to this game?
Answer:
the answer will be 7.50
Step-by-step explanation:
brainliest answer fast please
Answer:
1/20
Step-by-step explanation:
lcf: 20
1/4- 1/5
1x5/20- 1x4/20
=5-4/20
=1/20
One of the legs of a right triangle measures 10 cm and its hypotenuse measures 17 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
What is the volume of this figure
5ft 10ft 15ft 15ft 5ft 10ft 5ft
Answer:
Volume is length x width x height. So it depends on the labeled sides. Maybe define what is length and width and height OR multiply all is your instructions call for it.
Step-by-step explanation:
If 2^2x = 2^3, what is the value of x?
Answer:
x = 3/2
Step-by-step explanation:
2^2x = 2^3
2x = 3
x = 3/2
4. List two solids for which the formula V = Bh applies and 2 for which V = Bh does
not apply.
Step-by-step explanation:
V = Bh applies for :
1. the volume of prism
2. the volume of cylinder
V = Bh doesnt apply for :
1. the volume of pyramid
2. the volume of cone
The two solids where the formula V = bh applied is are prism volume, and cylinder volume. And, where the formula V = Bh does not apply is pyramid volume and cone volume
Listing of two solids:(1) Applied of formula V = Bh is :
The volume of a prismThe volume of the cylinder(1) Not Applied of formula V = Bh is :
The volume of the pyramidThe volume of a coneLearn more about the solid here: https://brainly.com/question/20784784
An important problem in industry is shipment damage. A electronics distribution company ships its product by truck and determines that it cannot meet its profit expectations if, on average, the number of damaged items per truckload is greater than 12. A random sample of 12 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.64. Select a 99% confidence interval for the true mean of damaged items.
a) [48.26, -30.02]
b) [10.67, 11.93]
c) [-0.6285, 0.6285]
d) [10.69, 11.91]
e) [11.37, 12.63]
f) none of the above
Answer:
the answer is b) (10.67,11.93)
Step-by-step explanation:
hope this helps
PLEASE HELP! IT’S 40 POINTS! What is the area of this octagon?
A. 72 cm2
B. 59 cm2
C. 42 cm2
D. 38 cm2
E. 31 cm2
Answer:
B) 59 cm²
Step-by-step explanation:
4x8=32
2x3=6
3x7=21
32+6+21=59 cm²
At a city council meeting, there 101 people present, and 66 were elderly.
If you talked to six random people there, what is the percent chance that exactly three is elderly? (Round
to the nearest hundredth of a percent.)
Answer:
23.63% chance that exactly three is elderly
Step-by-step explanation:
The people are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
101 total people means that [tex]N = 101[/tex]
Sample of 6 means that [tex]n = 6[/tex]
66 elderly means that [tex]k = 66[/tex]
If you talked to six random people there, what is the percent chance that exactly three is elderly?
This is P(X = 3). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,101,6,66) = \frac{C_{66,3}*C_{35,3}}{C_{101,6}} = 0.2363[/tex]
0.2363*100% = 23.63%
23.63% chance that exactly three is elderly
A city has a population of 400,000 people. Suppose that each year the population grows by 3.25%. What will the population be after 7 years?
Use the calculator provided and round your answer to the nearest whole number,
Answer:
500,369
Step-by-step explanation:
formula
400000(1.0325)ⁿ
400,000(1.0325)⁷
500,369
upon graduating from college, Ashley took a job with the starting salary of $40,000. She can expect a 6% raise pay and pay each year. How long will it take to earn $60,000 per year.
NO LINKS!!!!
Answer:
Ashley is 7 years old.
and its step by step
Select two equations of lines that are perpendicular to the line whose equation is x + 5y = 50. I need help please.
Answer:
[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
In this question:
The equation of the line is:
[tex]x + 5y = 50[/tex]
Placing in the standard format:
[tex]5y = -x + 50[/tex]
[tex]y = -\frac{x}{5} + 10[/tex]
The slope is [tex]-\frac{1}{5}[/tex]
Slope of the perpendicular lines:
[tex]-\frac{m}{5} = -1[/tex]
[tex]m = 5[/tex]
So
[tex]y = 5x + b[/tex]
Attributing two values to b:
[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.
Pls, help!!!
In 1846 the depth of the river was 5 feet deep.
In 1847 it dropped to 4.3 feet.
This year, 1848, it rose to 6 feet.
Find the percent change from EACH CHANGE
Tell whether the ordered pair is a solution of the inequality.
3x + 3y 5 -6: (-1,-4)
step by step explanation
help
Answer:
(-1, -4) is a solution
Step-by-step explanation:
3x + 3y ≤ -6
plug in point (-1, -4)
3(-1) + 3(-4) ≤ -6
-3 + -12 ≤ -6
-15 ≤ -6 true
(-1, -4) is a solution
17 students said they enjoy summer the most.
4 of the girls said they enjoy winter.
The ratio between boys and girls is 8 : 11.
The probability of picking a student at random who enjoys Summer is 38
Twice as many of the girls chose summer over spring.
7 boys chose summer.
Autumn was chosen by 3 more boys than girls.
The probability of picking a boy at random who chose spring is 18.75%
Answer:
Step-by-step explanation:
17 students chose summer, 7 boys
Girls that chose summer= 17-7=10
Twice Girls chose summer over spring= 10÷2 =5
5 Girls chose spring, 4 Girls enjoy winter
Plss help will give brainlest no link or files plss
Answer:
a= right b= obtuse c=acute d=right
Step-by-step explanation:
Answer:
Step-by-step explanation:
A) Right Angle. A right angle is an angle whose measure is exactly 90°.
B) Obtuse Angle. An obtuse angle is an angle that lies between 90° and 180°
C) Acute Angle. An acute angle is an angle that lies between 0° and 90°
D) Right Angle. A right angle is an angle whose measure is exactly 90°.
What is the graph of the solution to the following compound inequality? 3 - x >= 2; 4x + 2 >= 10
Answer:
A. x is less than or equal to 1 OR x is greater than or more than 2
Lauren took her cat Tommy to the veterinarian, who said
that at 22 pounds, Tommy was overweight. The vet put
Tommy on a diet, and two months later, the cat weighed
19 pounds. What was the percent of change in Tommy's
bodyweight?
Answer:
15.79
Step-by-step explanation:
What is the slope of the two points (-20,-4), (-12,-19)
Plz help me well mark brainliest if correct..............?
Answer: b and c because of the asasability numeral
How many quarters are there in 57
Answer:
228 quarters in $57
2 quarters in 57 cents
Step-by-step explanation:
Oliva works 4 hours each week more than lily
Answer:
12 hours
Step-by-step explanation:
First it’s every 2 weeks so divide by 2 to find 1 week and get 16 hours a week then subtract 4 hours cause olivia works 4 more per week and u get 12 hours so Lily works 12 hours a week ;)
sorry if wrong have a good day/night
may i please have a branllest
Can someone please help me I will mark u brilliant for both answers
Step-by-step explanation:
Athe question is wrong15 km= _______ meters
Answer: 15000 meters
Step-by-step explanation:
Answer:
15000 meters
Step-by-step explanation:
1000 meters per kilometer
The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. The process standard deviation is known to be 0.77 gm. A random sample of 49 candy bars yields a mean weight of 55.82 gm.
(a) State the hypotheses to test whether the mean is smaller than it is supposed to be.
(b) What is the test statistic?
(c) At α = .05, what is the critical value for this test?
(d) What is your conclusion?
Answer:
|z(s)| < |z(c)|
Then z(s) is in the acceptance region we accept H₀.
We don´t have evidence to support that candy bar mean weight is below 56 gm
Step-by-step explanation:
Goal mean μ = 56 gm
standard deviation σ = 0,77
From random sample:
mean x = 55,82
sample size n = 49
We assume a normal distribution ( is a manufacturing controlled process)
a) Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x < μ
Alternative hypothesis is telling us that the test is a one-tail test to the left
as n > 30 we use the normal distribution.
b) z(s) = ( x - μ ) / σ / √n
z(s) = 55.82 - 56 ) * 7 / 0,77
z(s) = 0,18*7/0,77
z(s) = - 1.6363
c) if significance level is α = 0.05 then α/2 = 0,025
Then from z table, z score for 0,025 z(c) = -1.96
d) Comparing z(c) and z(s) modules
|z(s)| < |z(c)|
Then z(s) is in the acceptance region we accept H₀.
We don´t have evidence to support that candy bar mean weight is below 56 gm
