Answer:
729 emails
Step-by-step explanation:
The pattern is to multiply by 3
3*3 = 9
9*3 = 27
27*3 = 81
81*3 = 243
If the pattern continues, Martin will sent on monday:
243*3 = 729
729 emails
Answer:
729
Step-by-step explanation:
PLEASE HELP ME! Please do not comment nonsense, and actually comment the answer and the solution.
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Explanation:
For choice C, the x values are out of order, so it might be tricky at first. I recommend sorting the x values from smallest to largest to get -2, -1, 0, 1, 2. Do the same for the y values as well. Make sure the correct y values stay with their x value pairs. You should get the list of y values to be 4, 2, 1, 1/2, 1/4
Check out the attached image below for the sorted table I'm referring to
We can see the list of y values is going down as x increases. This is a good sign we have decay. Further proof is that we multiply each term by 1/2 to get the next one
4 times 1/2 = 2
2 times 1/2 = 1
1 times 1/2 = 1/2
1/2 times 1/2 = 1/4
and so on. Effectively we can say the decay rate is 50%
A plot of land is represented on a map whose scale is 1:10000.On the map perimeter of the plot is 24.8cm.Calculate,in km ,the actual perimeter of the plot
Answer:
24.8 km
Step-by-step explanation
To do this we would just multiply 24.8 by 10,000 which is 248000 and if we divide that by 10000 (to get km) we would get 24.8km
Drag each tile to the correct box.
Three geometric sequences are given below.
Sequence A: 160, 40, 10, 2.5,
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27,
Order the sequences from least common ratio to greatest common ratio.
Sequence A
Sequence C
Sequence B
Answer:
Sequence B, Sequence A, Sequence C
Step-by-step explanation:
Data obtained from the question include the following:
Sequence A: 160, 40, 10, 2.5,
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27
Next, we shall determine the common ratio of each sequence. This is illustrated below:
Common ratio (r) is simply obtained by dividing the 2nd term (T2) by the 1st term (T1) or by dividing the 3rd term (T3) by the 2nd term (T2). Mathematically, it is expressed as:
r = T2/T1 = T3/T2
For sequence A:
160, 40, 10, 2.5
2nd term (T2) = 40
Ist term (T1) = 160
Common ratio (r) =..?
r = T2/T1
r = 40/160
r = 1/4
r = 0.25
Therefore, the common ratio is 0.25.
For sequence B:
-21, 63, -189, 567
2nd term (T2) = 63
Ist term (T1) = -21
Common ratio (r) =..?
r = T2/T1
r = 63/-21
r = - 3
Therefore, the common ratio is - 3.
For Sequence C:
8, 12, 18, 27
2nd term (T2) = 12
Ist term (T1) = 8
Common ratio (r) =..?
r = T2/T1
r = 12/8
r = 3/2
r = 1.5
Therefore, the common ratio is 1.5.
Summary:
Sequence >>>>> Common ratio
A >>>>>>>>>>>>> 0.25
B >>>>>>>>>>>>> - 3
C >>>>>>>>>>>>> 1.5
From the above illustration,
Ordering the sequence from least to greatest common ratio, we have:
Sequence B, Sequence A, Sequence C.
Suppose the probability that a randomly selected man, aged 55 - 59, will die of cancer during the course of the year is StartFraction 300 Over 100 comma 000 EndFraction . How would you find the probability that a man in this age category does NOT die of cancer during the course of the year?
Answer:
The probability that a man in this age category does NOT die of cancer during the course of the year is 0.997.
Step-by-step explanation:
Suppose the probability of an event occurring is [tex]P_{i}[/tex].
The probability of the given event not taking place is known as the complement of that event.
The probability of the complement of the given event will be,
[tex]1 - P_{i}[/tex]
In this case an events X is defined as a man, aged 55 - 59, will die of cancer during the course of the year.
The probability of the random variable X is:
[tex]P (X) = \frac{300}{100000}=0.003[/tex]
Then the event of a man in this age category not dying of cancer during the course of the year will be complement of event X, denoted by X'.
The probability of the complement of event X will be:
[tex]P(X')=1-P(X)[/tex]
[tex]=1-0.003\\=0.997[/tex]
Thus, the probability that a man in this age category does NOT die of cancer during the course of the year is 0.997.
These box plots show the prices for two different brands of shoes.
Answer: I’m pretty sure is letter A
whats the equation for this
Answer:
[tex]x^2 + y^2 + 4x + 4y = -119/16[/tex]
Step-by-step explanation:
The axes x and y are calibrated in 0.25
If the circle is carefully considered, the radius r of the circle is:
r = -1.25 - (-2)
r = 0.75 units
The equation of a circle is given by:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex]
The center of the circle (a, b) = (-2, -2)
Substituting (a, b) = (-2, -2) and r = 0.75 into the given equation:
[tex](x - (-2))^2 + (y - (-2))^2 = (3/4)^2\\\\(x + 2)^2 + (y + 2)^2 = (3/4)^2\\\\x^2 + 4x + 4 + y^2 + 4y + 4 = 9/16\\\\x^2 + y^2 + 4x + 4y + 8 = 9/16\\\\16x^2 + 16y^2 + 64x + 64y + 128 = 9\\\\16x^2 + 16y^2 + 64x + 64y = -119\\\\x^2 + y^2 + 4x + 4y = -119/16\\[/tex]
If you had a cube with a side length of 4, how can your write the calculations in exponential form? What are 2 other ways to read the exponent verbally?
Answer: 4^3
(Four cubed or Four to the power of 3)
Step-by-step explanation:
Workers in an office of 40 staff were asked their favourite type of take-away. Pizza 9 Curry 6 Fish & chips 11 Kebab 10 Other 4 How many degrees represent 1 person?
Answer:
Hey there!
In total, there are 360 degrees. If there are 40 staff members, then each member has 360/40=9 degrees.
Hope this helps :)
Answer:
9 degrees
Step-by-step explanation:
There are 360 degrees in a circle
There are 40 people
360 / 40 = 9
Each person gets 9 degrees
4/6, 5/6, 2/6 how do you put it least to greatest?
Answer:
2/6 < 4/6 < 5/6
Step-by-step explanation:
2 < 4 => 2/6 < 4/6
4 < 5 => 4/6 < 5/6
=> 2/6 < 4/6 < 5/6
Answer:
2/6, 4/6 5/6
Step-by-step explanation:
22.
Makes s the subject
[tex] \sqrt{p} \: is \: equals \: to \: \sqrt[r]{w \: - as ^{2}}[/tex]
Step-by-step explanation:
[tex] \sqrt{p} = \sqrt[r]{w - {as}^{2} } [/tex]
Find raise each side of the expression to the power of r
That's
[tex]( \sqrt{p} )^{r} = (\sqrt[r]{w - {as}^{2} } ) ^{r} [/tex]we have
[tex]( \sqrt{p} )^{r} = w - {as}^{2} [/tex]Send w to the left of the equation
[tex]( \sqrt{p} )^{r} - w = -{as}^{2} [/tex]Divide both sides by - a
We have
[tex] {s}^{2} = -\frac{( \sqrt{p} )^{r} - w}{a} [/tex]Find the square root of both sides
We have the final answer as
[tex]s = \sqrt{ -\frac{( \sqrt{p} )^{r} - w }{a} } [/tex]Hope this helps you
Please help me! I am struggling
Answer:
Oh man! I totally understand why you are struggling!
Step-by-step explanation:
You want the textbook or the cheat sheet?
Lets go with the cheat sheet.
So, notice the line segments, correct?
The way to find those is Pythagorean Theorem.
The squares of the legs of the triangle add up to the length of the hypotenuse squared. Imagine that the lengths of the sides ARE Hypotenuses. Then, form a triangle, with the legs (Other sides of the triangle except the hypotenuse) either vertically or horizontally(I explain it better below).
In other words, we need to create a right triangle with AB as the hypotenuse to use Pythagorean Theorem. How do we do that?
Count the number of units both vertically and horizontally from point A to B. Essentially, make a horizontal line segment starting at A, and stop it over B. Then, make a vertical line that goes down to B from that ending point (Remember to count the number of units along the way).
Those are your legs. Then, use those measurements in the Pythagorean Theorem:
[tex]12^{2} + 8^{2}=AB[/tex]
I'm confident you can solve this! If you know mathematics...
Then, repeat for either AD or BC.
Then, use the formula for area of the Rectangle. How do we know that it is a rectangle? Well, I'm skipping this part because it will take too long to do, but I can explain it later if you want!
Oh, well.
Hope this helps! Stay Safe!
Leave the explanation too please.
Answer:
58 square units.
Step-by-step explanation:
From the graph attached,
Area of the figure = Area of the rectangle A + Area of two squares B and C
Area of rectangle A = Length × width
= 10 × 5
= 50 square units
Area of the square B = (Side)²
= (2)²
= 4 square units
Similarly area of the square C = 2² = 4 square units
Area of the total figure = 50 + 4 + 4
= 58 square units
Therefore, 58 square units will be the answer.
On August 8, 1981, American Savings offered an insured tax-free account paying 23.24% compounded monthly. If you had invested $90,000 at that time, how much would you have on August 8, 2014, assuming that you could have locked the interest rate at the time of deposit? Someone please help me!!
Answer:
$181,432,754
Step-by-step explanation:
We use the formula for compound interest here, to determine the amount
Mathematically, that would be;
A =I (1 + r/n)^nt
where A is the amount which we want to calculate
I is the initial amount which is $90,000
r is the rate = 23.24% = 23.24/100 = 0.2324
n is the number of times per year the interest is compounded = 12 (compounded monthly)
t is the number of years = 2014 - 1981 = 33
Substituting these values, we have;
A = 90,000(1 + 0.2324/12)^(33 * 12)
A = 90,000(1 + 0.0194)^396
A = 90,000(1.0194)^396
A = 181,432,754.27210504
Which is approximately $181,432,754 to the nearest whole dollars
Please answer question now what the answer
Answer:
100 degrees
Step-by-step explanation:
360-260=100
Answer:
x=100
Step-by-step explanation:
130+130+x=360
260+x=360
x=100
Have a great and magnificent day
Find the slope and y-intercept of each line:
a. (x+2)(x+3)=(x-2)(x-3)+y
b. x=my+b
Please show workings, and I won't accept nonsense answers! Don't answer the question if you don't know what it means!!
Answer:
See below
Step-by-step explanation:
Part A:
[tex](x+2)(x+3) = (x+2)(x-3) + y[/tex]
Resolving Parenthesis
[tex]x^2+3x+2x+6=x^2-3x-2x+6+y\\x^2+5x+6 = x^2-5x+6+y[/tex]
Subtracting [tex]x^2[/tex] and 6 to both sides
[tex]5x= -5x+y[/tex]
Adding 5x to both sides
[tex]y = 5x+5x\\y = 10x[/tex]
Comparing it with [tex]y = mx+b[/tex] where m is the slope while b is the y-intercept
So,
Slope = m = 10
Y-intercept = b = 0
Part B:
[tex]x = my+b[/tex]
Subtracting b to both sides
[tex]my = x-b[/tex]
Dividing both sides by m
[tex]y = \frac{x-b}{m}\\ y = \frac{x}{m} - \frac{b}{m}[/tex]
Comparing it with [tex]y = mx+b[/tex] where m is the slope while b is the y-intercept
So,
Slope = m = [tex]\frac{1}{m}[/tex]
Y-intercept = b = [tex]-\frac{b}{m}[/tex]
A box contains 10 red marbles and 10 green marbles. Sampling at random from this box five times without replacement, you have drawn a red marble all five times. Without replacing any of the marbles, what is the probability of drawing a red marble the 6th time?
Answer:
5/15 is the probability of choosing a red marble from the box.
Step-by-step explanation:
We know that,
There are 5 red marbles and 10 green marbles in the box.
Divide the number of events by the number of possible outcomes. This will give us the probability.
P(red marble) = P(5)
Possible outcomes
5 red, 10 green -> 15 possibilities
Probability = [tex]\frac{5}{15}[/tex]
Please leave a 'thanks' if this helped!
The required probability of drawing a red marble the 6th time is 1/2.
Given that,
A box contains 10 red marbles and 10 green marbles.
Sampling at random from this box five times without replacement, you have drawn a red marble all five times.
Without replacing any of the marbles.
We have to determine,
What is the probability of drawing a red marble the 6th time?
According to the question,
There are 10 red marbles and 10 green marbles,
The initial condition is to the same state at every step, so the probability to get a red marble is the same in each sampling and is equal to the ratio of the number of red marbles to the total number of samples.
Therefore,
The probability of drawing a red marble the 6th time is,
[tex]P = \dfrac{10}{10+10}\\\\P = \dfrac{10}{20}\\\\P = \dfrac{1}{2}[/tex]
Hence, The required probability of drawing a red marble the 6th time is 1/2.
To know more about Probability click the link given below.
https://brainly.com/question/14210034
Wolfrich lived in Portugal and Brazil for a total period of 141414 months in order to learn Portuguese. He learned an average of 130130130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. How long did Wolfrich live in Portugal, and how long did he live in Brazil
Answer:
Wolfrich lived in Brazil for 5 months and 9 months in Portugal
Step-by-step explanation:
Given;
Total Months = 14
Total Words = 1920
Required
Find the time spent in Portugal and time spent in Brazil
Let P represent Portugal and B represent Brazil; This implies that
[tex]P + B = 14[/tex] ---- Equation 1
Considering that he learnt 130 words per month in Portugal and 150 per month in Brazil; This implies that
[tex]130P + 150B = 1920[/tex] --- Equation 2
Make P the subject of formula in equation 1
[tex]P = 14 - B[/tex]
Substitute 14 - B for P in equation 2
[tex]130(14 - B) + 150B = 1920[/tex]
Open Bracket
[tex]1820 - 130B + 150B = 1920[/tex]
[tex]1820 + 20B = 1920[/tex]
Subtract 1820 from both sides
[tex]1820 - 1820 + 20B = 1920 - 1820[/tex]
[tex]20B = 100[/tex]
Divide both sides by 20
[tex]\frac{20B}{20} = \frac{100}{20}[/tex]
[tex]B = 5[/tex]
Substitute 5 for B in [tex]P = 14 - B[/tex]
[tex]P = 14 - 5[/tex]
[tex]P = 9[/tex]
Wolfrich lived in Brazil for 5 months and 9 months in Portugal
How many minutes are in 324 hours?
Answer: 19440 minutes
Step-by-step explanation:
Hi there! Hopefully this helps!
--------------------------------------------------------------------------------------------------
Answer: There are 19440 minutes in 324 hours.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Since there are 60 minutes in each hour, we need to multiply the time value by 60. Like this:
324 x 60 = 19440.
CAN ANYONE HELP IM VERY CLUELESS
Answer:
51°
Step-by-step explanation:
A circle has a total of 360 degrees. So,
360 = 62 + 66 + x + 73 + x + 57
Next, combine like terms:
360 = 2x + 258
Next, isolate your variable by subtracting 258 from both sides:
102 = 2x
Finally, divide both sides by 2 to get x:
x = 51
Answer:
x = 51
Step-by-step explanation:
x + 73 + x + 57 + 62 + 66 = 360
2x + 258 = 360
2x = 360 - 258
2x = 102
[tex]\frac{x}{2} =\frac{102}{2}[/tex]
x = 51
Ahmed wants to get a loan from his credit union for $20,000 to buy a new car. He can get an interest rate of 5% and can pay off the loan in 5 years. How much will Ahmed pay each month?, How much will Ahmed pay in interest?
Answer:
Step-by-step explanation:
The cost of the new car is $20,000.
We would apply the periodic interest rate formula which is expressed as
P = a/[{(1+r)^n]-1}/{r(1+r)^n}]
Where
P represents the monthly payments.
a represents the amount of the loan
r represents the annual rate.
n represents number of monthly payments. Therefore
a = $20000
r = 0.05/12 = 0.0042
n = 12 × 5 = 60
Therefore,
P = 20000/[{(1+0.0042)^60]-1}/{0.0042(1+0.0042)^60}]
20000/[{(1.0042)^60]-1}/{0.0042(1.0042)^60}]
P = 20000/{1.286 -1}/[0.0042(1.286)]
P = 20000/(0.286/0.0054012)
P = 20000/52.95
P = $378
Ahmed will pay $378 each month
The total payment is
378 × 60 = $22680
The amount that Ahmed will pay in interest is
22680 - 20000 = $2680
please solve the volume of the triangular prism
Answer:
V = 225 cm²
Step-by-step explanation:
The volume of a prism is the product of the base's area and the height
the base of this prism is triangular
the area of a triangle is given by the formula :
A = [tex]\frac{b*h}{2}[/tex]b is the base(6cm) and h the height (5cm)
A = [tex]\frac{5*6}{2}[/tex] A = 15 cm²So the volume is
V = 15*A V = 15*15 V = 225 cm²Answer:
225 cm³
Step-by-step explanation:
Area of cross-section × length = Volume of a triangular prism
Area of cross-section is the area of the triangle section.
Area of cross section:
5 × 6 × 0.5
30 × 0.5
= 15
Calculate volume:
15 × length
15 × 15
= 225
convert 1000110binary into decimal number system
Answer:
70₁₀Step-by-step explanation:
In order to convert a binary number into a decimal, it is expanded in the power of 2. Then, by simplifying the expanded form of the binary number, we obtain a decimal number.
Let's solve:
[tex]1000110[/tex]
[tex] = 1 \times {2}^{6} + 0 \times {2}^{5} + 0 \times {2}^{4} + 0 \times {2}^{3} + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 \times {2}^{0} [/tex]
[tex] = 1 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 1 \times 4 + 1 \times 2 \times 0 \times 1[/tex]
[tex] = 64 + 0 + 0 + 0 + 4 + 2 + 0[/tex]
[tex] = 70[/tex]₁₀
Hope I helped!
Best regards!!
Enter the coordinates of the vertex of the graph of y=2(x+5)^2
Answer:
The vertex is ( -5,0)
Step-by-step explanation:
The vertex form of a parabola is
y = a( x-h) ^2 +k
where ( h,k) is the vertex
y=2(x+5)^2
y=2(x - -5)^2 +0
The vertex is ( -5,0)
Answer:
vertex = (- 5, 0 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 2(x + 5)² , that is y = 2(x + 5)² + 0 ← is in vertex form
with (h, k) = (- 5, 0 )
What equation represents the slope intercept from the line below y intercept ( 0, 2) slope -3/7 ( PLEASE HELP FAST TOP ANSWER GETS BRAINLIEST!!)
Answer:
[tex]\boxed{Option \ A}[/tex]
Step-by-step explanation:
y-intercept = b = 2 [y-intercept is when x = 0]
Slope = m = -3/7
Putting this in slope-intercept equation
=> [tex]y = mx+b[/tex]
=> [tex]y = -\frac{3}{7}x + 2[/tex]
Answer:
a
Step-by-step explanation:
The sum of ages Afful and Naomi is 34. In 5 years time , Afful will be 2 times the age on Naomi now. How old are they now.
Answer:
Afful is 21 and Naomi is 13.
Step-by-step explanation:
Let [tex]A[/tex] represent the age of Afful and [tex]N[/tex] represent the age of Naomi.
The sum of their ages is 34. In other words:
[tex]A+N=34[/tex]
In 5 years time, Afful will be two times the age of Naomi now. In other words:
[tex]A+5=2N[/tex]
Solve for the system. Substitute.
[tex]A+N=34\\A=34-N\\34-N+5=2N\\39=3N\\N=13\\\\A=34-N\\A=34-(13)\\A=21[/tex]
Afful is currently 21 and Noami is currently 13.
Answer:
Naomi=x
Afful=2x
In 5 years time= +5
So Naomi=x+5
and and Afful=2x+5
=x+5+2x+5=34
=3x+10=34
Subtract 10 on both sides
3x=24
Divide 3 on both sides
X=8
Check:
X=8
Naomi=16
In 5 years
=16+5=21
Naomi=8+5=13
13+21=34
Hope this helps
Step-by-step explanation:
PLEASE HELP!!!
These dot plots show the ages in years) for a sample of two types of fish.
Explanation:
The median is the center of the distribution. We see that the center of the shark's distribution is to the left compared to the koi's center. Therefore, the shark's median age is smaller. Choice A is one of the answers.
The spread is exactly what it sounds like: how spread out the data is. Mathematically we use the standard deviation, or sometimes the range, to find out how spread out things are. The koi distribution is more spread out. The shark's data is more clumped together. This is why choice B is the other answer.
Center: Sharks have lower median age than Koi.
Spreads: The ages of koi are more spread out.
What is dot plot?A dot plot is a standardized way of displaying the distribution of data based on a five number summary.
What is the median in a dot plot?The center line in the dot plot shows the median for the data .
What is the spread of data?Spread of data is measured in terms how far the data differs from the mean.
According to the given question
We have a dot plots for the two fishes sharks and Koi.
According to the given dot plot
Most ages of the sharks is lower than the koi.
⇒ Sharks are lower than koi.
So, the center: Sharks have lower median age than Koi.
Also, the ages of Koi are wide spreading.
⇒ The ages of koi are more spread out
Therefore, Spreads: The ages of koi are more spread out.
Hence, option A and B are correct.
Learn more about dot plot here:
https://brainly.com/question/22746300
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4) Flying to Tahiti with a tailwind a plane averaged 259 km/h. On the return trip the plane only
averaged 211 km/h while flying back into the same wind. Find the speed of the wind and the
speed of the plane in still air.
A) Plane: 348 km/h, Wind: 37 km/h B) Plane: 243 km/h, Wind: 30 km/h
C) Plane: 235 km/h, Wind: 24 km/h D) Plane: 226 km/h, Wind: 13 km/h
fundraiser Customers can buy annle nies and
Answer: C) Plane: 235 km/h, Wind: 24 km/h
Step-by-step explanation:
Given that :
Average Speed while flying with a tailwind = 259km/hr
Return trip = 211km/hr
Let the speed of airplane = a, and wind speed = w
Therefore ;
Average Speed while flying with a tailwind = 259km/hr
a + w = 259 - - - (1)
Return trip = 211km/hr
a - w = 211 - - - (2)
From (2)
a = 211 + w
Substitute the value of a into (1)
a + w = 259
211 + w + w = 259
211 + 2w = 259
2w = 259 - 211
2w = 48
w = 48/2
w = 24km = windspeed
Substituting w = 24 into (2)
a - 24 = 211
a = 211 + 24
a = 235km = speed of airplane
A standard deck of of 52 playing cards contains 13 cards in each of four suits : diamonds, hearts , clubs and spades. Two cards are chosen from the deck at random.
Answer:
Probability of (one club and one heart) = 0.1275 (Approx)
Step-by-step explanation:
Given:
Total number of cards = 52
Each suits = 13
FInd:
Probability of (one club and one heart)
Computation:
Probability of one club = 13 / 52
Probability of one heart = 13 / 51
Probability of (one club and one heart) = 2 [(13/52)(13/51)]
Probability of (one club and one heart) = 0.1275 (Approx)
Answer:
D. 0.1275
Step-by-step explanation:
Justo took the Pre-Test on Edg (2020-2021)!!
In △ABC, m∠A=45°, c=17, and m∠B=25°. Find a to the nearest tenth.
Answer:
12.8
Step-by-step explanation:
you have to use the law of sines to calculate it. the measure of angle c is 110 and you have to do
Sin(110)x=17sin(45)
and then it turns into 17sin(45)/sin(110)
then put it into desmos with it being in degrees mode
If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C prime? On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 2), (negative 1, 2). (–4, –7) (–4, 2) (2, –7) (2, 11)
Answer:
A ( -4, -7)
Step-by-step explanation:
if you translate -1, three units to the left u get -4 and then when u go nine units down u get -7 do it on a grid and u will see wut im talkin about : )
Answer:
A.
Step-by-step explanation: