What is the product (1 – 6i) (-5 – 8i) ?
PLEASE HELP QUICK!!!!!f
Answer:
[tex]-53+22i[/tex]
Step-by-step explanation:
You can simply use the FOIL method, but keep in mind that [tex]i^2=-1[/tex]:
[tex](1-6i)(-5-8i)\\(1)(-5)+(1)(-8i)+(-6i)(-5)+(-6i)(-8i)\\-5-8i+30i+48i^2\\-5+22i+48(-1)\\-5+22i-48\\-53+22i[/tex]
Grandma Margie made 12 blankets for her grandkids. The ratio of striped to non striped blankets were 2:4. How many blankets were striped
Answer:
Total Ratio = 2+4
=6
Striped blankets = 2/6 × 12
= 4 Striped Blankets
Step-by-step explanation:
Can't really explain
3 x 5/6 = ? x 1/6
those are fractions btw and what number makes the equation true?
PLEASE NO LINKS
Answer:
15
Step-by-step explanation:
[tex]3 \times \frac{5}{6} = \frac{15}{6} = 15 \times \frac{1}{6} [/tex]
GIVING BRAINLIEST!!!!!
plane PBC is right answer.
it's a logical answer....
Answer:
Plane PBC
Step-by-step explanation:
Plane PBC contains 4 points : P, B, C, and Q.
The question asks which contains all three of C, Q, and P.
The plane is Plane PBC
The results that Charles, Isabella and Naomi achieved in four tests are shown in
the table below. They want to see who has the most consistent results.
a) Which of the mean, median, mode or range should they calculate to help
them decide?
b) Who achieved the most consistent results?
Charles 46, 43, 39, 57
Isabella
69, 64, 62, 71
Naomi
94,80, 61,72
Answer:
Range & Isabella
Step-by-step explanation:
Part A:
Definitely not range mean or median, as that'll give you their average, not consistency. None of their tables show any repeating values, so not mode either, and range would be the most hopeful for this.
Part B:
The results with the smallest range would be the most consistent:
Charles:
Lowest value = 39 and Highest Value = 57
Range = 57-39 = 18
Isabella:
Lowest value = 62 and Highest value = 71
Range = 71-62 = 9
Naomi:
Lowest value = 61 and Highest value = 94
Range = 94-61 = 33
Isabella achieved the most consistent results. Hope this helps
Please Help! I got 81.9% and used x = (mean - average) / standard deviation and then subtracted.
The daily amounts of time Internet users spend on social networking platforms are normally distributed with a mean of 142 minutes and a standard deviation of 32 minutes.
a. About what percent of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day? Round your answer to the nearest tenth of a percent.
Using the normal distribution, it is found that about 81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 142, \sigma = 32[/tex].
Th proportion of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day is the p-value of Z when X = 174 subtracted by the p-value of Z when X = 78, hence:
X = 174:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{174 - 142}{32}[/tex]
Z = 1
Z = 1 has a p-value of 0.841.
X = 78:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{78 - 142}{32}[/tex]
Z = -2
Z = -2 has a p-value of 0.023.
0.841 - 0.023 = 0.818 = 81.8%.
81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.
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19 there is a frog and snake exhibit at
a nature center. the ratio of frogs to
snakes is 3 to 4. there are 24 snakes in
the exhibit. what is the total number of
animals in the exhibit?
a
18
c
32
b 42
d
56
Answer:
b.42
Step-by-step explanation:
the ratiois is 3 to 4 .So every 4 snakes is to 3 frogs so since there are 24 snakes devide the 24 by 4 which will give u 6 then multiply the answer by 3 which will give u 18 which represents the total number of frogs then add 18 +24 which is 42.
so then total number of frogs is 42.
Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 16. The y-axis is labeled from 0 to 16. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of Cars. The title on the y-axis is Number of Wheels. Yes, it is a proportional relationship because the graph goes through the origin Yes, it is a proportional relationship because the graph is a straight line No, it is not a proportional relationship because the graph is not a straight line No, it is not a proportional relationship because the graph does not go through the origin
Using the concept of a proportional relationship, it is found that the correct option regarding the graph is given by:
No, it is not a proportional relationship because the graph does not go through the origin.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
From the equation above, the first step is that in a proportional relationship, the map must go through the origin, that is, it must pass through the point (0,0). In this problem, it does not passes through the origin, as it passes in (0,2), hence the correct option is given by:
No, it is not a proportional relationship because the graph does not go through the origin.
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The area of a square is 17 square feet which measure is closest to the length of one side of the square
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
As we know, Area of a square can be represented as :
[tex]\qquad \sf \dashrightarrow \:area = side {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:a = s {}^{2} [/tex]
now, we have been given that area of a particular square is 16 square feet. so, let's calculate its sides
[tex]\qquad \sf \dashrightarrow \:s {}^{2} = 17[/tex]
[tex]\qquad \sf \dashrightarrow \:s = \sqrt{17} [/tex]
[tex]\qquad \sf \dashrightarrow \:s \approx4.12 [/tex]
so, the closest value is : B. 4.1 feet
what is the length of lines UV, VW, WX, and VU when the points U(7,9), V(0,5), W(-6,-3)U(7,9),V(0,5),W(−6,−3), and X(1,1)X(1,1) form quadrilateral UVWX?
The length of lines UV, VW, WX, and UX are: = √65 units, 10 units,√65 units and 10 units respectively.
What is Distance Formula?Algebraic expression that gives the distances between pairs of points in terms of their coordinates
Given that: U(7,9), V(0,5), W(-6,-3) ,X(1,1)
The length can be find by using Distance Formula,
Length of UV,
= [tex]\sqrt{(0-7)^{2} + (5-9)^{2}}[/tex]
= [tex]\sqrt{49+16}[/tex]
= √65 units
Length of VW,
= [tex]\sqrt{(-6-0)^{2}+(-3-5)^{2}}[/tex]
= [tex]\sqrt{36 + 64}[/tex]
=√100 units
= 10 units
Length of WX,
=[tex]\sqrt{(1-(-6))^{2}+(1-(-3))^{2}}[/tex]
= √49+ 14
= √65 units
Length of XU,
= [tex]\sqrt{(7-1)^{2}+(9-1)^{2}}[/tex]
= √36+64
=√100 units
= 10 units
Length of UW,
= [tex]\sqrt{(-6-7)^{2}+(-3-9)^{2}}[/tex]
= √169+144
=√313 units
Length of VX,
= [tex]\sqrt{(1-0)^{2}+(5-1)^{2}}[/tex]
= √1+16
=√17 units
Thus, Length of opposite sides are equal but the length of diagonals are not Equal. So, the quadrilateral is a parallelogram.
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Rewrite 3* = 27 as a logarithmic equation.
Answer:
[tex]\log_3(27)=x[/tex]
Step-by-step explanation:
[tex]a^x=b[/tex] is equivalent to [tex]\log_a(b)=x[/tex] in logarithmic form, so [tex]3^x=27[/tex] is equivalent to [tex]\log_3(27)=x[/tex]
Answer:
Step-by-step explanation:
Determine the square foot of logo 2 write it out in equation form I’ll give 100 points
Answer:
45 ft²
Step-by-step explanation:
Logo 2 comprises 5 congruent squares with side length 1/2 in
Given scale: 1 in = 6 ft
⇒ 1/2 in = 3 ft
Area of a square = s² (where s is the side length)
⇒ area of one of the squares of logo 2 = (3 ft)² = 9 ft²
Therefore, the total area is:
⇒ area = 5 × 9 ft² = 45 ft²
In equation form:
A = 5(6s)²
where:
A = area (in ft²)s = side length (in inches)A diner is serving a special lunch combo meal that includes a drink, a main dish, and a side. customers can choose from 4 drinks, 5
main dishes, and sides
how many different combo meals are possible?
customers cani create choose.
v different lunch combo meals.
There are 20 possible different combination of meals
How to determine the number of combo meals?The given parameters are:
Drinks = 4
Main dishes = 5
The number of different meals is calculated as:
Meals = Drinks * Main dishes
So, we have:
Meals = 4 * 5
Evaluate
Meals = 20
Hence, there are 20 possible different combination of meals
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Angad and Alex have played 40 tennis matches.
Angad has won 16 times.
Alex won the rest.
a) Estimate the probability that Angad wins.
b) Estimate the probability that Alex wins.
Answer:
estimate the probability that angad wins
A taxi charges a flat rate of $2.00, plus an additional $3 per mile. If Erica has at most $20 to spend on the cab ride, how far could she travel? Write an inequality and solve
Answer:
6 miles
Step-by-step explanation:
20.00 - 2.00 = 18
18/3 = 6
she can travel 6 miles
Let $a_1$, $a_2$, . . . , $a_{10}$ be an arithmetic sequence. if $a_1 + a_3 + a_5 + a_7 + a_9 = 17$ and $a_2 + a_4 + a_6 + a_8 + a_{10} = 15$, what is the value of $a_1$?
giving brainliest>
Because [tex]a_1[/tex] through [tex]a_{10}[/tex] are in arithmetic progression, there is some fixed number [tex]d[/tex] between consecutive terms. This means we have
[tex]a_2 = a_1 + d[/tex]
[tex]a_3 = a_2 + d = a_1 + 2d[/tex]
[tex]a_4 = a_3 + d = a_1 + 3d[/tex]
and so on, with the general [tex]n[/tex]-th term
[tex]a_n = a_1 + (n-1) d[/tex]
Then we can write each given equation in terms of [tex]a_1[/tex] and [tex]d[/tex] :
[tex]a_1 + a_3 + a_5 + a_7 + a_9 = 17[/tex]
[tex]\implies a_1 + (a_1+2d) + (a_1+4d) + (a_1 + 6d) + (a_1 + 8d) = 17[/tex]
[tex]\implies 5a_1 + 20d = 17[/tex]
and
[tex]a_2 + a_4 + a_6 + a_8 + a_{10} = 15[/tex]
[tex]\implies (a_1+d) + (a_1+3d) + (a_1+5d) + (a_1+7d) + (a_1+9d) = 15[/tex]
[tex]\implies 5a_1+25d= 15[/tex]
Eliminate [tex]d[/tex] and solve for [tex]a_1[/tex] :
[tex]5 (5a_1 + 20d) - 4 (5a_1 + 25d) = 5\times17-4\times15[/tex]
[tex]\implies 5a_1 = 25[/tex]
[tex]\implies \boxed{a_1 = 5}[/tex]
please help awnser this question correctly
1. what are the amounts of interest and maturity value of a loan for 250,000.00 at 5.5% simple interest for 4 months?
the amount of maturity is 254583
Which expression is equivalent to startfraction 4 f squared over 3 endfraction divided by startfraction 1 over 4 f endfraction? startfraction 16 f cubed over 3 endfraction startfraction f over 3 endfraction startfraction 3 over 16 f cubed endfraction startfraction 3 over f endfraction
The value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]
What is quotient?The quotient of numbers or expressions is the division of a number or expression by another
How to determine the equivalent expression?The expression is given as:
[tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex]
Rewrite as a product expression
[tex]\frac{4f^2}{3} \times \frac{4f}{1}[/tex]
Evaluate the product of 3 and 1
[tex]\frac{4f^2}{3} \times 4f[/tex]
Evaluate the product of 4f^2 and 4f
[tex]\frac{16f^3}{3}[/tex]
Hence, the value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]
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Answer:
its A
Step-by-step explanation:
On edge its the first answer
find the missing length
Answer:
Step-by-step explanation:
15^2 - 12^2 = a^2
225 - 144 = 81
a^2 = 81
a=9
Agree & disagree statements: CIrcles
Circle A has a diameter of 18 inches.
Circle B has a circumference of 36 inches.
write the letter of the card in the correct column next to the letter, write your explanation as to why it belongs in the agree or disagree columns.
1. Circle B has a radius of 18 inches. True or false?
2. Circle B has an area of approximately 103. 14in2. True or false?
3. The distance around Circle A is 20.5 inches longer than Circle B. True or false?
Answer:
1. False
2. True
3. true
Step-by-step explanation:
The first answer is false, the second one is true and the third is true
if u answered on the same 1 move on
help me i dont get this
The two-way table that shows the joint and the marginal relative frequencies is:
Aerobic Anaerobic Total
Male 0.48 0.63 0.55
Female 0.52 0.37 0.45
Total 1 1 1
How to make a two-way table from the frequency table?The table is given as:
Aerobic Anaerobic
Male 88 104
Female 96 62
The column total are:
Aerobic = 88 + 96 = 184
Anaerobic = 104+ 62 = 166
So, we have:
Aerobic Anaerobic
Male 88/184 = 0.48 104/166 = 0.63
Female 96/184 = 0.52 62/166 = 0.37
The total count of the table is
Total = 184 + 166 = 350
So, we have:
Aerobic Anaerobic Total
Male 0.48 0.63 (88 + 104)/350 = 0.55
Female 0.52 0.37 (96 + 62)/350 = 0.45
Hence, the two-way table that shows the joint and the marginal relative frequencies is:
Aerobic Anaerobic Total
Male 0.48 0.63 0.55
Female 0.52 0.37 0.45
Total 1 1 1
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Based on the number of males and females doing aerobic and anaerobic respiration, the relative and marginal frequencies can be shown as:
Aerobic Anaerobic Total
Male 47.8% 62.7% 54.9%
Female 52.2% 37.3% 45.1%
100% 100% 100%
What are the relative and marginal frequencies given?The frequencies for males are:
Aerobic = 88 / (88 + 96) Anaerobic = 104 / (104 + 62)
= 47.8% = 62.7%
For females:
Aerobic = 100% - 47.8% Anaerobic = 100 - 62.7%
= 52.2% = 37.3%
Total males frequency: Total females
= (88 + 104) / (88 + 104 + 96 + 62) = 100% - 54.9%
= 54.9% = 45.1%
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- Which expression is equivalent to
2√48-(2+√12) (5-√12)?
0-EIS
A. 2√3+2
B. 2√3-2
34
C. 4√3+17
p. 4√3-17
Swoled
4.
Answer:
A.
Step-by-step explanation:
2×sqrt(48) - (2 + sqrt(12))(5 - sqrt(12))
2×sqrt(16×3) - (2 + sqrt(4×3))(5 - sqrt(4×3))
2×4×sqrt(3) - (2 + 2×sqrt(3))(5 - 2×sqrt(3))
8×sqrt(3) - (10 - 4×sqrt(3) + 10×sqrt(3) - 4×3)
8×sqrt(3) - 10 - 6×sqrt(3) + 12
2×sqrt(3) + 2
Hi, please choose the correct answer. please
Answer:
y = -x + 1
Step-by-step explanation:
I just checked it in the desmos graphing calculator and it was correct.
Answer:
y = -x + 1.
Step-by-step explanation:
The graph rises to the left so has a negative slope.
slope = -1 and y-intercept = 1
I really need help pls
Answer:
126
Step-by-step explanation:
Answer:
the answer us 140
Step-by-step explanation:
the answer is 140 because if you add them all the answer will come 140 but if we divide it or multiply it the answer will not come so the answer is 140
please help me I have been working on this for 20 minutes
Answer:
First Figure:
Do you see the right triangle in the first figure? It is bisected by the angle x° and 68°. Since all right triangles add to 90°, this makes x° = 90° - 68°.
E.) x° = 90° - 68° -----> x° = 22°
Do you see how you now know the values of 3 out of 4 angles on the straight line? Since all lines add to 180°, the value of y° = 180° - 90° - 22°. Remember, the entire angle value for all right triangles is 90°.
H.) y° = 180° - 90° - 22° -----> y° = 68°
Second Figure:
A similar process can be taken for the second figure.
T.) x° = 180° - 90° - 74° -----> x° = 16°
E.) y = 90° - 50° -----> y° = 40°
Third Figure:
Again, remember that right triangles = 90° and lines = 180°.
C.) w° = 180° - 90° - 31° -----> w° = 59°
R.) x° = 90° - 28° -----> x° = 62°
H.) y° = 180° - w° -----> y° = 180° - 59° -----> y° = 121°
Find the prime factorization of 945
Answer:
3 × 3 × 3 × 5 × 7
what is the value of...
4x - x + 5, when x = 3
???
Answer:
The value of 4x-x + 5 when x + 3 is 14
Step-by-step explanation:
4(3)= 12 - 3= 9 + 5= 14
The value of 4x - x + 5 when x = 3 is 14.
To find the value of 4x - x + 5 when x = 3, we substitute the value of x into the expression and simplify.
Plugging in x = 3, we have:
4(3) - 3 + 5
Now let's simplify each term:
4(3) = 12
-3 = -3
Now we can substitute the simplified terms back into the expression:
12 - 3 + 5
Next, we perform the addition and subtraction in order from left to right:
12 - 3 = 9
9 + 5 = 14
Therefore, the value of 4x - x + 5 when x = 3 is 14.
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what is 300 in scintifiyc notation?
300 written in scientific notation is 3 × 102.
hope this was helpful.
Step-by-step explanation:
For the function f(x) = x2
Find f(5) =
Find f(-5) =
Answer:
25
Step-by-step explanation:
..............