Answer:
p=1/5
Step-by-step explanation:
Distribute -5 through the parenthese.
Move constant to the righ-hand side and change the sign.
Calculate the sum -5p=-1
Divide both sides by -5
Answer:
1/5
Step-by-step explanation:
Expand the equation
-5p -3= -4
Collect like terms
-5p = -4 +3
-5p = -1
Divide both sides by -5
p = 1/5
A school club uses a telephone chain to inform members of changes in plans. The club president calls 2 members, each of whom calls 2 members, and so on. The process must be repeated 5 times. How many members are in the club?
Answer:
63 members
Step-by-step explanation:
Since each person calls 2 persons each, there is an exponential increase of 2 for each level. Since it starts with the president as 1 person, and increases exponentially by 2 for each level of phone call, we have a geometric progression of first term, a = 1 and common ratio r = 2. Since the process of phone calls must be repeated 5 times, our last term is 2⁵. So, our geometric progression is 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ = 1 + 2¹ + 2² + 2³ + 2⁴ + 2⁵
We now sum the geometric progression
The sum of a geometric progression with r > 1 is
S = a(rⁿ - 1)/(r - 1)
substituting r = 2, a = 1 and n = 6 since we have 6 terms, we have
S = 1(2⁶ - 1)/(2 - 1)
= (64 - 1)/1
= 63
So, we have 63 members in the club.
We could have also found this by summing up individually the terms in the series. We have 1 + 2¹ + 2² + 2³ + 2⁴ + 2⁵ = 1 + 2 + 4 + 8 + 16 + 32 = 63
0.1 + 0.3 please help on this.
Answer:
0.4
Step-by-step explanation:
[tex]0.1 + 0.3 = 0.4[/tex]
Answer:
0.4
Good Luck!!!
3x+2 -x=11x+9(what is x)
I need help with this. By the way this a solving real life inequalities problem;)
Answer:
x≥12, Michael must grow for 12 more months (a year) before he can ride a roller coaster.
Step-by-step explanation:
The inequality to represent how tall you must be to go on a roller coaster is
x≥48 because you must be a minimum of 48 inches tall, 'x' represents how tall you must be
If Michael is already 42 inches tall, that is his base point but you need to know how many more months he will need to grow for.
1/2x represents the amount of months Michael needs to grow, x is the unknown variable we need to solve for which represents the months he needs to grow, 1/2 is how many inches he grows in 1 month
42+1/2x≥ 48
subtract 42 from each side) 1/2x≥6
multiply both sides by 2) x≥12
Use the figure below to find the measure of angle 6
What is the perimeter of a quadrilateral with measurements of 19 ft, 10 ft, 17 ft, and 8 ft?
I need help
Answer:
54ft
Step-by-step explanation:
To find perimeter the formula is A + B + C + D
So, 19 + 10 + 17 + 8 = 54ft
Find the area. Simplify your answer.
Answer:
area = x² - 7x
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 2x and h = x - 7 , thus
A = [tex]\frac{1}{2}[/tex] × 2x(x - 7) = x(x - 7) = x² - 7x
Answer:
a=x^2-7x
Step-by-step explanation:
a=1/2bh
a=1/2(x-7)(2x)
a=1/2(2x^2-14x)
a=x^2-7x
A line with slope -3 passes through the points (5,2) and (9,y). Find y.
plz help!
Answer:
y is 10
Step-by-step explanation:
first take your imformation and put it into the y intercept from.
Which is y=mx+b
so take the cordinates (5,2) and put it into the y-intercept form.
the 5 is x and the 2 is the y, so
2=m*5+b
Then take the slope of -3 and put it in the y-intecept from
2=-3*5+b
then solve for b
2=-3*5+b
2=-15+b
+15 on both sides
17=b
now you know the equation of the line is
y=-3x+17
now plug in your x to find the y of that cordinate
on the line.
y=-3*9+17
solve
y=-3*9+17
y=-27+17
y=10
What does the 6 in the number 306 equal ?
Answer:
Be more specific
Step-by-step explanation:
Answer:
It equals 6
Step-by-step explanation:
It's in the ones place
Trina and Jessie went on a vacation to Hawaii. Trina went scuba diving and reached an elevation of −85.6 meters, which is below sea level. Jessie went hang-gliding and reached an altitude of 87.9 meters, which is above sea level. Who is closer to the surface of the ocean?
Answer:
Step-by-step explanation:
LEt the surface of the ocean be at the zero level i.e at 0metres
If Trina went scuba diving and reached an elevation of −85.6 meters, which is below sea level, the distance between Trina and the sea level will be:
D = 0-(-85.6)
D = 0+85.6
D = 85.6m
If Jessie went hang-gliding and reached an altitude of 87.9 meters, the distance between Jessie and the sea level will be:
D = 87.9-0
D = 87.9m
Since the distance of Trina is less than that of Jessie, this means that Trina is closer to the surface of the ocean
You found a unit rate that compares dollars earned per hours worked at the coffee shop.Is there another unit rate you could write for this relationship? What does that unit ratemean in the context of the situation? What is the related constant of proportionality?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, I'll assume the following.
Unit Rate = $10 per 2 hours
Solving further, we have that:
1. Yes, there is another unit rate that can be written.
Unit Rate = $10 per 2 hours
Convert Rate to fraction
[tex]Unit\ Rate = \frac{\$10}{2\ hours}[/tex]
Divide numerator and denominator by 2
[tex]Unit\ Rate = \frac{\$5}{1\ hour}[/tex]
Simplify:
[tex]Unit\ Rate = $5/hour[/tex]
2. The unit rate implies that the earnings is $5 per hour
3. The constant of proportionality
Let y represent the earnings
x represent work hours.
We have:
[tex]y = kx[/tex]
Where k = constant of proportionality
In this case:
[tex]y = 10[/tex]
[tex]x = 2[/tex]
Substitute these values in [tex]y = kx[/tex]
[tex]10 = k * 2[/tex]
[tex]10 = 2k[/tex]
Divide both sides by 2
[tex]5 = k[/tex]
[tex]k = 5[/tex]
Hence: The unit of proportionality is 5
Apply the above steps in your question
What is the out put?
Answer:
n+3
since output is always greater by 3
Step-by-step explanation:
( Please helppp will give brainliest and 100 points)
Answer:
6/7
Step-by-step explanation:
4)2 ?
Which of the following expressions is equivalent to (x
Answer:
2 is the equivalent to the expression
Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work.
A graph showing the fat and calories content has increased in the number of calories with the increasing number of fat.
A linear trend is the best fit straight line that is showing a positive relationship as it's going upwards. As the plotted residues represent a line that is almost straight and these data points resemble a line. This trend shows an increase in the data correlation. For example, the increased in distance will lead to an increase in time and this can be positively correlated within the graph. The equation of y = MX + b and y = 10x + 0 for a and b.Thus the graph shows a linear trend and in increasing order.
Learn more about the Is the trend line linear.
brainly.com/question/20309786.
Answer:
The equation is "Y = 56.36*X + 56.47"
Step-by-step explanation:
The form of the equation is y=mx+b, m = slope and b = intercept.
You have to find the slope of the trend line or you can use the plot points, but identifying the slope in the trend line is much easier.
It seems there are two points that are outliers and need no paying attention to, this is because outliers can make predictions unreliable and also make the trend line unreliable overall as well.
Have a Jocular day.
Isaiah wants to begin eating a more balanced diet. He thinks he should consume 2,000 calories each day. Recommended the percentage of carbohydrates, fats? And proteins he should consume. Also, tell Isaiah how many grams of each he should consume daily
Answer:
A balance diet is a healthy diet that contains different food intakes.
Step-by-step explanation:
A balance diet may be defined as a diet which contains different varieties of food in certain proportions and quantities so as supply the requirements of the body for proteins, vitamins, calories, minerals and nutrients. It is a healthy diet that helps to maintain and improve the overall health.
For a balance diet, a person needs to take proper amount pf carbohydrates, fats and proteins so that the body gets the required energy in terms of calories for the day.
In the context, Isaiah wishes to consumes 2000 calories of energy in one day for a healthy diet. So according to the United States government recommended diet for the consumption of 2000 calories per day, Isaiah should have 15% of protein, 30% of fat and 55% of carbohydrate. And in terms of gram, she should take 75 gram of protein (300 cal), 67 gram of fat (600 cal) and 275 grams of carbohydrates (1100 cal).
What is 5 x 100 + 3 + 10 + 8 x 0.1 + 9 x 0.009
Answer:
513.881
Explanation: (Credits to jessy276)
= 5*100+3+10+8*0.1+9*0.009
= 500+3+10+8*0.1+9*0.009
= 500+3+10+0.8+9*0.009
= 500+3+10+0.8+0.081
= 503+10+0.8+0.081
= 513+0.8+0.081
= 513.8+0.081
= 513.881
Answer:
The answer is 513.881
Step-by-step explanation
What value of n makes
(5^n)(5^2)=5^16 true?
Answer:
14
Step-by-step explanation:
By following the exponent rule, when multiplying two numbers of the same term with exponents, you simply add them together.
Therefore, to make (5^n)(5^2)=5^16 true, n must equal 14 since:
14 + 2 = 16
Answer:
n = 14
Step-by-step explanation:
Recall the rule:
[tex] a^m \times a^n = a^{m + n} [/tex]
[tex] (5^n)(5^2) = 5^{16} [/tex]
[tex] (5^n)(5^2) = 5^{n + 2} = 5^{16} [/tex]
[tex] n + 2 = 16 [/tex]
[tex] n = 14 [/tex]
y - 5 = - (x + 11) + 2
Answer:
y=-x-4
Step-by-step explanation:
Determine which of the lines are parallel and which of the lines are perpendicular. ROW1 Parallel Perpendicular DRAG & DROP THE ANSWER Lines c and d Lines a and c Lines a and b Lines b and c
Answer:
a & b are parallel to each other. c and d are also parallel to each other
a & c are perpendicular; b and c are also perpendicular
Explanation: Perpendiculars are when two lines meet to make a 90 degrees right angle. Parallel are two lines that never meet at all. Instead, they have the same distance apart across . Think about it as two different streets.
The number 158,861 to 2 significant figures is?
Answer:
1.6x10^5
Step-by-step explanation:
moving decimal places 5 times to the left will give you an exponent of 5
1.6x10^5 has 2 sig figs (1 and 6)
comment your question if this is still unclear :))
Find the 22nd term of the following sequence:5, 8, 11,
step by step gets brainliest
Answer:
68
Step-by-step explanation:
5,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,56,59,62,65,68
ERROR ANALYSIS Describe the error in solving the equation
Х
2(x + 1)2 + 3 = 21
2(x + 1)2 = 18
(x + 1)2 = 9
x + 1 = 3
x = 2
You must subtract 1 from each side before taking the square root.
The was not used when taking the square root.
You must take the square root before dividing each side by 2.
You must take the square root before subtracting 3 from each side.
Answer:
HSA.REI.A.2. Practice some problems before going into the exercise. ... Solving square-root equations: one solution ... When I solve a square-root equation, what is it exactly what I'm finding? ... So, do all quadratic equations have extraneous solutions? ... sqrt(x-2)^2=sqrt(1) equal x-2 = +/-1 and not +/-(x-2) = +/-1
(05.01)Dawn is making an abstract painting with two triangles. The dimensions of the painting are shown below:
Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches.
The total area of the two triangles is _____ square inches.
Numerical Answers Expected!
Answer:
Step-by-step explanation:
24 square inches
On Tuesday, Stinger Coffee sold 150 cups
of coffee. They sold 90 mochas and the rest
were cappuccinos. What percent of coffees
sold were cappuccinos?
Answer:
40%
Step-by-step explanation:
90 is 60% of 150 so that automatically makes the cappuccino 40%
Your Venmo account currently has a $48.00 balance.
Select one debit and two deposits that will result in a $100 Venmo balance.
Deposit of $50
Debit of $16
Debit of $9
Deposit of $25
Deposit of $43
Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did Priya raise? Do not include units (dolllars) in your answer. If you get stuck, consider using the table.
A stray dog ate 30 of your muffins. That was 2/3 of all of them. How many are left?
Adam gets a bonus of 30% of £80 Katy gets a bonus of £28
what is the difference between the bonus Adam gets and the bonus Katy gets?
Answer:
£4
Step-by-step explanation:
Adam: 30% of £80
Katy: £28
First, let's fund Adam's bonus. We know that 30% is equal to 0.3. Then, we can multiply £80 by 0.3. This results in £24.
We also know that Katy made £28. Now we need to find the difference.
The difference between Adam and Katy is £4.
somebodyy plss help its due tdyy
Answer:
A
Step-by-step explanation:
8/2=4
4-3=1
12/2=6
6-3=3
18/2=9
9-3=6
20/2=10
10-3=7
Answer:
Wait, i think it should be A
Step-by-step explanation: