Type the correct answer in the box.
Simplify the following expression into the form a + bi, where a and bare rational numbers.
(3 + 7i) (-22i) - 4i(5 - 91)
Answer:
154-278i.
Step-by-step explanation:
(3+7i)(-22i)-4i(5-91)=-66i+154+344i=154+278i.
When √27 is expressed in simplest a√b form, what is the value
of a?
Answer:
3
[tex]3 \sqrt{3} [/tex]
Step-by-step explanation:
Remember to complete the prime factorization for 27. 27 = 9x3 = 3x3x3. The
[tex] \sqrt{3} \times \sqrt{3} \times \sqrt{3} [/tex]
is
[tex]3 \sqrt{3} [/tex]
PLEASE HELP As soon a possible
Find the coordinates of the point
7/10 of the way from A to B.
The coordinates of the point 7/10 of the way from A to B is (2.4, 4.2)
How to find the coordinates of the point 7/10 of the way from A to B?On the coordinate plane, we have the following coordinates
A = (-3, -8)
B = (11, 6)
The point 7/10 can be represented using the following ratio
m : n = 7 : 3
The coordinates of the point 7/10 of the way from A to B is calculated as
Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)
This gives
Point = 1/(7 + 3) * (3 * 11 + 3 * -3, 11 * 6 + 3 * -8)
Evaluate
Point = 1/10 * (24, 42)
This gives
Point = (2.4, 4.2)
Hence, the coordinates of the point 7/10 of the way from A to B is (2.4, 4.2)
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Find the Least Common Denominator of 5/6 and 3/8, show all of your work:
To find the LCD of (5/6, 3/8) we need to find the Least Common Multiple (LCM), which in this case is (6, 8). So we want to find the values of the numerical part of each term. We need to select the largest one, which in this case is 8
Then multiply them together to get the current total. In this case, the current total is 48
Current Total = 48
Multiply the numeric part of the denominators together.
Current Total = 8 + 8 = 16
Again, multiply the numeric part of the denominators together.
Current Total = 16 + 8 = 24
Check each value in the numerical part of each term against the current total. Since the current total is evenly divisible, return it. That is the least common denominator of the numerical part of the fraction.
So the Lowest Common Denominator (LCD) is 24
Find the total cost to the nearest cent.
$185 TV; 5% markup
The total cost to the nearest cent is $194.25
How to calculate the total cost ?The TV costs of $185
The markup is 5%
The total cost can be calculated as follows
185 + (185 × 5/100)
= 185 + (185 × 0.05)
= 185 + 9.25
= 194.25
Hence the total cost to the nearest cent is $194.25
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How many multiples of 4 lies between 10 and 20
Answer:
there are 2 multiples of 4 like 12 and 16
Step-by-step explanation:
The multiples of 4 are - 4,8,12,16,20,24
Results of 2017 survey of sample of executives from 155 banks reveal insights on banking priorities among bank institutions in certain region As bank institutions begin planning new year of utmost importance is boosting profitability and identifying growth areas Fifty-two percent of bank institutions note mobile app experience initiatives as an area in which spending expected t0 increase_ Implementing mobile app relationship management (MARM) solution was ranked as the top most important omnichannel strategy to pursue with thirty-six percent of institutions citing mobile app banking enhancements as the greatest anticipated strategy to enhance the customer experience. Complete parts (a) through (d) What Is the population of interest? the 155 bank executives in the region all bank institutions in the region that are Implementing mobile app relatonship management solution all bank execulives representing bank institutions all bank institutions 0 E all bank customers in the region that use mobile app banking b. Whal is the sample (hat was collected? the 56 bank institutions the region that cite mobile app banking enhancements as the greatest anticipated strategy the 81 bank institutions in the region that note mobile app experience initiatives as an area in which spending expected t0 increase the 56 bank institutions the region all bank executives the 155 executives representing bank institutions What E possible parameter of interest? proportion of bank executives representing bank institutions that cite mobile app banking enhancements as the greatest anticipated strategy the proportion of bank institutions in the region that cite mobile app banking enhancements as the greatest anticipated strategy the proportion of bank executives in Ihe region who were sampled the proportion of bank institutions in the region that have mobile app banking What the statistic used to estimate the parameter found in (c)? Select the correct choice below and fill in the answer box (0 complete your choice (Type an integer Or decimal: Do not round ) % of all bank institutions the study use mobile app banking % of bank executives representing bank institutions earn more than S500,000 per year % of executives representing bank institutions in the study cite mobile app banking enhancements as the greatest anticipated strategy %0 of all bank executives were sampled in the study
Using sampling concepts, it is found that:
a) The population of interest is all bank institutions in the region that are Implementing mobile app relationship management solution.
b) The sample is given by the 155 executives representing bank institutions.
c) The possible parameter of interest is the proportion of bank institutions in the region that cite mobile app banking enhancements as the greatest anticipated strategy.
d) The statistic used to estimate the parameter is: 36% of executives representing bank institutions in the study cite mobile app banking enhancements as the greatest anticipated strategy.
What is population and sample?Population: Collection or set of individuals or objects or events whose properties will be studied.Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.Hence, for this problem:
a) The population of interest is all bank institutions in the region that are Implementing mobile app relationship management solution.
b) The sample is given by the 155 executives representing bank institutions.
Parameter and Statistic:If the information is taken from a sample, it is called a statistic.If the information is taken from a population, it is called a parameter.Hence:
c) The possible parameter of interest is the proportion of bank institutions in the region that cite mobile app banking enhancements as the greatest anticipated strategy.
From the sample, the percentage is of 36%, hence:
d) The statistic used to estimate the parameter is: 36% of executives representing bank institutions in the study cite mobile app banking enhancements as the greatest anticipated strategy.
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A person has a bag containing quarters and dimes. There are a total of 51 coins in the bag, and the total value of the coins is $11.10.
Answer:
you would need 40 quarters and 11 nickels
PLEASE MARK AS BRAINLIEST
Step-by-step explanation:
.25x40=$10
.10x11=$1.10
$10+$1.10=$11.10
In a genetics experiment on peas, one sample of offspring contained 383 green peas and 13 yellow peas. Based on
those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the
value of 3/4 that was expected?
The probability of getting an offspring pea that is green is 0.967 and the value is not close to 3/4.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
In a genetics experiment on peas, one sample of offspring contained 383 green peas and 13 yellow peas.
The probability of getting an offspring pea that is green = 383/(383+13)
= 383/396
= 0.967
= 0.75
Thus, the probability of getting an offspring pea that is green is 0.967 and the value is not close to 3/4.
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A periods of 4 hour 30 minute is what percent of a day
Answer:
It's 4.5 divide by 24 , multiply by 100 you get 18.75%PLEASE HELP! DUE IN LESS THAN 2 HOURS! IM STUCK! PLEASE HELP ME! THANKS QUESTION DOWN BELOW!!! PLEASE SHOW THE WORK! DETERMINE THE NUMBER OF LINE SEGMENTS IN THE 100TH PATTERN!
Answer:
Step-by-step explanation:
So we are not counting each line segment forming a cube. We are actually counting the four sides of the overall shape, and the number of segments inside it.
It will increase by 2 each time.
So if we start at 4(the four outside lines), go to 6(adding 2 on the inside), then to 8(adding 2 more on the inside), we continue this 100 times, correct?
So our equation would be
(x times 2) +4 (if we start at the SECOND term and count that as the first )
so, to figure out the answer to out problem, we insert 100 for x
(100 x 2)+4 = 204
This would leave us with one big square (4 outside line segments) With 100 segments going horizontal, and 100 vertical)
Hope this helps! ^^
In 2011 the marathon had 29967 men and 16,928 Women how many Men T Shirts and how many women t shirts were given
The number of men T Shirts and how many women t shirts that were given to the nearest thousand will be 30000 and 17000 respectively.
How to illustrate the information?It should be noted that based on the information illustrated, the marathon had 29967 men and 16,928 Women.
Therefore, the number of men T Shirts and how many women t shirts that were given to the nearest thousand will be:
29867 = 30000
16982 = 17000
Therefore, the number of men T Shirts and how many women t shirts that were given to the nearest thousand will be 30000 and 17000 respectively.
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In 2011 the marathon had 29967 men and 16,928 Women how many Men T Shirts and how many women t shirts were given to the nearest thousand.
Find the coordinates of the vertices of the figure after the given transformation.
translation: (x, y)→(x + 1, y - 1)
Responses
A N'(0, -2), F'(4, 2), Q'(4, -2)N'(0, -2), F'(4, 2), Q'(4, -2)
B N'(-1, 1), F'(3, -3), Q'(3, 1)N'(-1, 1), F'(3, -3), Q'(3, 1)
C N'(0, -1), F'(4, 3), Q'(4, -1)N'(0, -1), F'(4, 3), Q'(4, -1)
D N'(0, -5), F'(4, -1), Q'(4, -5)N'(0, -5), F'(4, -1), Q'(4, -5)
NO SPAM I WILL REPORT IMMEDIATELY AND IF CORRECT BRAINLIEST BUT PLS HURRY THIS IS DUE TODAY WARNING FOR SPAMMERS AND I WILL BAN YOU IMMEDIATLEY! BUT HURRY!!!
By using the given translation rule, the translation of NFQ is equal to: A. N'(0, -2), F'(4, 2), Q'(4, -2).
The types of transformation.In Mathematics, there are different types of transformation and these include the following:
ReflectionRotationTranslationDilationWhat is a translation?A translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.
By using the given translation rule: (x, y) → (x + 1, y - 1), we have:
N(-1, -1) → N'(-1 + 1, -1 - 1) = N'(0, -2).
F(3, 3) → F'(3 + 1, 3 - 1) = F'(4, 2).
Q(3, -1) → Q'(3 + 1, -1 - 1) = Q'(4, -2).
Therefore, the translation of NFQ is equal to N'(0, -2), F'(4, 2), Q'(4, -2).
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what is 1150in hectares and in m2
Answer:
The answer is 11500000 Square Meters
Answer:
11,500,000
Step-by-step explanation:
To convert 1150 hectares to square meters, we need to multiply it by 10,000. Therefore, 1150 hectares is equal to 11,500,000 square meters. It is important to note that one hectare is equal to 10,000 square meters. So, 1150 hectares is equivalent to 11,500,000 square meters or 11,500,000 square meters. This conversion is useful when measuring large areas of land, such as agricultural fields, forests, and parks.
3√12 + √18-2 √75 -√32 +3√8
Answer:
Step-by-step explanation:
3√12+√18-2√75-√32+3√8
=3√(4×3)+√(9×2)-2√(25×3)-√(16×2)+3√(4×2)
=(3×2)√3+3√2-(2×5)√3-4√2+(3×2)√2
=6√3+3√2-10√3-4√2+6√2
=(6-10)√3+(3-4+6)√2
=-4√3+5√2
Are the raitos 10:16 and 5:8 equivalent
Answer:
Yes, they are equivalent, because one is just a reduced version of the other. Since they are equally balanced when reduced, they are equivalent ratios.
Answer:
Yes, It is equivalent.
Step-by-step explanation:
To convert [tex]\frac{10}{16}[/tex] , so the denominator is 16, multiply the numerator and denominator by 1.
[tex]\frac{5*2}{8*2}[/tex] vs [tex]\frac{10*1}{16*1}[/tex]
Now we have two fractions with the same denominator, so we can easily compare the numerators to determine if they are equal;
[tex]\frac{10}{16}[/tex] vs [tex]\frac{10}{16}[/tex]
As you can see, the numerators colored in black above are the same. Therefore, the answer to "Is 5/8 equal to 10/16?" is yes!
[tex]\frac{5}{8} = \frac{10}{16}[/tex]
Explain how to use place-value blocks to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85. Then find the difference.
Place-value blocks can be used to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85 by converting them to the nearest ten. The difference will be $0.50.
What are place value blocks?It should be noted that base ten blocks are used to represent numbers as a base ten model. It should be noted that they are useful because they show the value of each digit in a number and make it easier to visualize the size of a number.
In this case place value blocks mimic the base ten number system by representing the ones, tens, hundreds, and thousands places
Therefore, place-value blocks can be used to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85 by converting them to the nearest ten. The difference will be $0.50.
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Clark made 4 of his truck
5
late payments and was fined
4 late fees. The total change to
his savings from late fees was
-$48.32. How much was one late
fee?
Answer:
12.00
Step-by-step explanation:
you need to get the division down first then it will become super easy once you have that
8 times the sum of a number and 26 is less than 304.
Answer:
x < 12
Step-by-step explanation:
So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:
8(x+26) < 304
Lets start to solve for x by dividing by 8, giving us:
x+26 < 38
Now lets isolate x by subtracting 26 from both sides, which gives us our answer:
x < 12
So x is less than 12.
Hope this helps!
A commuter train travels 51 in minutes. What is its speed in 26 per hour?
The speed of the commuter train in kilometre per hour is 30.59 kilometres per hour
How to determine the speed in kilometres per hour?The given parameters are
Distance = 26 kilometres
Time = 51 minutes
Convert the number of minutes to hour
So, we have
Time = 51/60 hour
The speed of the commuter train in kilometre per hour is calculated as
Speed = Distance/Time
So, we have
Speed = 26 kilometres/(51/60 hour)
Evaluate the quotient
Speed = 30.59 kilometres per hour
Hence, the speed of the commuter train in kilometre per hour is 30.59 kilometres per hour
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A circle has an area of 36 * pi square inches. Find the radius
Answer:
36
Step-by-step explanation:
BECAUSE U MULTIPLY THEN DIVIDE
Answer:
radius = 3.385 inches
Step-by-step explanation:
[tex]a=\pi r^{2}[/tex]
[tex]r^{2} =\frac{a}{\pi }[/tex]
[tex]r=\sqrt{\frac{a}{\pi } } =\sqrt{\frac{36}{\pi } } =3.385[/tex]
Hope this helps
3 x 1, 250 expanded form
The Expanded form of 3×1=3 is 3
The Expanded form of 250 is 200+50+0
Expanded form is nothing more than a method for rewriting a number such that the digit values are included. A place value exists for each number. It calculates that digit's value based on where it is in the number. As we move from left to right in a number, a digit's value rises. In comparison to the digits on the right, the ones on the left have a lower place value. The position of the number is used to calculate each number's value. We can comprehend the place value notations if we read them from right to left.
250=200(hundreds place)+50(tens place)+0(ones place)
Therefore, the Expanded form of 250 is 200+50+0.
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Raúl tenía 4 enteros 3/5 pliegos de papel crepé, y regaló a sus amigos 1 entero 1/4 ¿que fracción de papel crepé le quedo?
The fraction of paper left is 7/20.
How to calculate the value?From the information, it was stated that Raul had 3/5 sheets of paper and he then gave 1/4 to his friend.
Therefore, the fraction of paper that will be left will be:
= 3/5 - 1/4
= 12/20 - 5/20
= 7/20
The fraction is 7/20.
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given g(x) = 2x/x-2, x≠2. find g²(x)
Answer:
x
Step-by-step explanation:
[tex]g^2 (x)=\frac{2\left(\frac{2x}{x-2} \right)}{\frac{2x}{x-2}-2} \\ \\ =\frac{4x}{2x-2(x-2)} \\ \\ =\frac{4x}{4} \\ \\ =x[/tex]
In each of the following, tell what computation must be done last.
a. 5×6-3x4 +2
b. 19-3x4+9÷3
c. 15-6÷2x4
d. 5+(8-2)3
Try to answer all of em for me please
Answer:
Step-by-step explanation:
1) Draw 5 and x on the number line. Draw a number line detailing x on the number line and moving to the left and it lands on 5
Simplify
√18 +√50 + √8
Answer: 4√2
Step by step explanation:
√8 + √50 - √18
√4√2 + √25√2 - √9√2
2√2 + 5√2 - 3√2
4√2
Sasha did an experiment to study the solubility of two substances. She poured 100 mL of water at 20 °C into each of two beakers labeled A and B. She put 50 g of Substance A in the beaker labeled A and 50 g of Substance B in the beaker labeled B. The solution in both beakers was stirred for 1 minute. The amount of substance left undissolved in the beakers was weighed. The experiment was repeated for different temperatures of water and the observations were recorded as shown. Experimental Observations Substance Mass of Undissolved Substance at Different Temperatures (gram) 20 °C 40 °C 60 °C 80 °C A 12 11 9 8 B 45 40 34 31 Part 1: Which substance has a higher solubility? Part 2: Explain your answer for Part 1.
In the experiment, the solubility of B is high than the solubility of A.
This is because the mass of undissolved substance of substance A is more than Substance B at every temperature.
What is solubility?The amount of a substance that dissolves in a specific amount of solvent is known as its solubility. Higher solubility results from more solute dissolution, while lower solubility results from less solute dissolution.
Regarding the observations made, at any temperature, the mass of the undissolved material of substance A is greater than that of substance B. This suggests that less solute dissolves in the amount of solvent provided.
Therefore, because of this, substance B is more soluble than substance A.
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7x-5y= 0
49x+30y= 13
Answer:
what should we find the value of y and x or what
I am running two times around a circle of distance 25 meters through out. What is the distance two times from the mid center of that circle
Answer:
[tex]{ \tt{c = \pi d}} \\ { \tt{25 = 2(3.14d)}} \\ { \tt{d = 3.98 \: m}}[/tex]