The sequence is in geometric series. Common ration= - 1/2, missing number i.e., the 5th term = 4
An arithmetic series is one where each term is equal to the one before it plus some number. Whereas a geometric series is one where each term equals the one before it multiplied by a certain value.
Here the sequence is Geometric series as from the sequence we are getting the common ratio.
Common ratio = [tex]\frac{-32}{64}[/tex] = [tex]\frac{16}{-32}[/tex] = -[tex]\frac{1}{2}[/tex]
Now we have to find the 5th term of the sequence.
We know the formula to find the nth term of the geometric series which is:
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
[tex]a_{5}[/tex] = 64 [tex](\frac{-1}{2} )^{4}[/tex]
[tex]a_{5}[/tex] = 64/16
= 4
Therefore the missing number is 4.
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nikki and kelly can create math problems for a particular course in 20 hours. alone, nikki can do write all of the problems 4 hours faster than kelly could if she were to work alone. how long would it take each person to write the problems if they worked alone?
Nikki alone can do work to write the problem in 43 hours, and Kelly can work in 39 hours.
What are work and time?
Work is the energy expended to complete a task or produce a deliverable. It takes a specific amount of time (T) to finish a particular task (W). The rate of work is the number of units of work completed per unit of time (R). Therefore, Work (W) = Rate (R) Time (T), and Work = Force Distance can be used to determine Work.The joule (J), sometimes known as the Newton meter (N m), is the SI unit for work. When an object is moved across a distance of 1 m with 1 N of force, one joule is equal to the amount of work that is accomplished.
Work and time are proportionate to one another. Because of this, more work can be done with more time, and vice versa.
Nikki can do the part of this problem in 1 hour = 1/x
And, Kelly can do the part of this work in 1 hour = 1/(x - 4)
So, Nikki and Kelly both can do this work in 1 hour = (1/x) + [1/(x - 4)] = 120
= 40x - 80
= x² - 4x
= x = 43, 2
Hence,
Nikki alone can do work to write the problem in 43 hours, and Kelly can work in 39 hours.
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Add or subtract use place-value blocks to help $1.33 - $0.35
Answer:
$0.98
Step-by-step explanation:
$1.33-$0.35=$0.98.
Answer:
The answer is 0.98 cents
Step-by-step explanation:
Hope it helps!
the sum of the lengths of any two sides of a triangle is greater than the third side find the 3rd side
The given statement is false.
Given, that the sum of two sides of a triangle is greater than or equal to the third side.
considering 2 cm, 3 cm, 4 cm
Let the two sides be 2 cm and 3 cm
Let the third side be 4 cm
Now, sum of two sides = 2 + 3 = 5 cm
So, 5 > 4
Therefore, the given statement is false.
What do you mean by Triangle?A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property. There are three sides and three angles in every triangle, some of which may be the same. Triangles are three-sided shapes. The various kinds of triangles go by various names. The size of the angles and the length of the sides determine the type of triangle (corners). Equilateral, isosceles, and scalene triangles are the three varieties of triangles based on the length of the sides.
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Identify the range of the function y=-3x+6 when the domain is {-1,2,4}
A. {-6,0,9}
B. {-9}
C. {3,-12,-18}
D. {-3,12}
E. {-6,9}
What is the measurement of this angle?
Answer:
80 degrees
Step-by-step explanation:
80 degrees because part of it is on zero and the other part is on 80 so 80-0=80 degrees,
what is the range of h(x) = |x| − 2?
Answer: 69
Step-by-step explanation: 59+10=69
I really need help I don't know how to solve this. : (
An object is traveling at a steady speed of 9 9/10 mi/h. How long will it take the object to travel 2 1/10 mi? First round to the nearest integer to find the estimated answer. Then find the exact answer.
Answer:
12.73 mins
Step-by-step explanation:
velocity: 9.9 mi/h
distance: 2.1 mi
d=vt
t = d/v = 2.1/9.9 = 0.21h
convert to minutes: 2.1/9.9 x 60 = 12.73 min
Solve the following system of linear equations by elimination. answer the questions provided.
6x + 8y = -28
-3x - 4y = 14
How many solutions does the system have?
Answer:
(x, y) = (x 7/2, -3/4x m) x € R
Answer all these questions, and I will give you brainly + 50 Points.
Answer: I don’t see a attachment if you edit and add one I will come back to edit.
Step-by-step explanation:
Greatest common factor of 16
Answer:
16
Step-by-step explanation:
The GCF of any number is itself. The GCF of 5 is 5. The GCF of 10 is 10. The GCF of 16 is 16.
Question 1 (Multiple Choice Worth 5 points)
(01.08 MC)
When a patient with hypertension takes a particular type of blood pressure medication, the effects on the systolic
145-6t if 0≤t≤5
pressure, S(t), can be measured by the following piecewise defined function: S(t)
115 if 5
52+7t if 9≤t≤12
where t is the time, in hours, since taking the medication. Based on the graph of the piecewise function, if the patient
takes the blood pressure medication at 7 a.m., in which interval will their systolic pressure be lowest?
O1 p.m. to 3 p.m.
4 p.m. to 6 p.m.
07 a.m. to 9 a.m.
10 am to 12 p.m.
P
The interval will their systolic pressure be lowest is 4p.m. to 6p.m.
Given that
the effects on the systolic
145-6t if 0≤t≤5
function: S(t)
115 if 5 52+7t if 9≤t≤12
where t= time
the blood pressure medication takes at 7 a.m.
first of all we have to nknow about the Interval.
What is interval?
An interval is a distinct measure of time or the physical or temporal distance between two things.
From the function given above, the lowest systolic pression can be seen from 5 and 8 hours after taken the medication.
Therefore, this will fall into or between the interval of 2pm to 5pm.
And as such, looking at the question, the option that best fit into this time range is 4pm to 6pm.
Therefore, Based on the above, the interval will their systolic pressure be lowest is 4pm to 6pm.
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some jobs pay a commission plus a bonus at the end of the year. the bonus may be a percent of the salesperson's total commission. madelyn carr is a sales representative for a luxury home builder. she receives 7% commission on all sales. at the end of the year, she receives a bonus of 5% of her commission.
a) If Sales = $6412454, then Gross Pay = $471315.369.
If Sales = $412454, then Gross Pay = $30315.369.
b) If Sales = $316250, then Gross Pay = $23244.375.
What is a commission?Commissions are a type of variable-pay compensation for services or items sold. Salespeople are frequently motivated and rewarded through commissions.
Commissions can also be structured to incentive specific sales activities. For example, commissions may be decreased when offering substantial discounts
The remuneration paid to an employee after fulfilling a task, which is generally selling a particular amount of products or services, is referred to as a commission.
A sales commission is money provided to an employee for completing a task, typically selling a specified number of goods or services.
Sales commissions are occasionally used as incentives by employers to boost worker productivity. A commission can be paid in addition to or in place of a wage.
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The complete question is:
Some jobs pay a commission plus a bonus at the end of the year. The bonus may be the percent of the salesperson's total commission. Madelyn Carr is a sales representative for a luxury home builder. She receives 7% commission on all sales. At the end of the year, she receives a bonus of 5% of her commission, (a) What is her gross pay for a year in which she had sales totaling 6412,454? (b) What would be Madelyn's gross pay be if her sales were $316,250?
D. 153 Jenny bought 3/4 kg of margarine. She will use 2/3
of it for her hotcake recipe. How much of Margarine
did she use?
Answer:
1/2
Step-by-step explanation:
2/3 x 3/4 = 6/12 =1/2
5x+y/a=2 for a CAN YOU HELP ME PLEASE
Answer:
pls rate as brainliest it will really go along way
Which statement does not belong with the other three?
Responses ⬇️
If today is Tuesday, then tomorrow is Wednesday.
If today is Tuesday, then tomorrow is Wednesday.
If it is Independence Day, then it is July.
If it is Independence Day, then it is July.
If an angle is acute, then its measure is less than 90°.
If an angle is acute, then its measure is less than 90°.
If you are an athlete, then you play soccer.
If you are an athlete, then you play soccer.
Question 2
Explain your reasoning.
This statement does not belong with the other three because it is ⬇️.
True
False
Conditional statement
Not a conditional statement
Answer:
If you are an athlete, then you play soccer
Step-by-step explanation:
This statement is not true as you can be an athlete and play football, run, etc. You could play soccer but this sentence is implying that you do play soccer. It is also not a conditional statement. A conditional statement is "If A then B".
what is the formula of sin90degree
Answer:
hypotenuse 2 is the answer
Write 7,250,000,000 in scientific notation.
725 × 10−7
725 × 107
7.25 × 10−9
7.25 × 109
Answer:
7.25 x 10⁹
Step-by-step explanation:
The steps are as follows:For 7,250,000,000 , you have to move 9 places to the left to get 7.25 so the number in scientific notation is 7.25 x 10⁹
Find the least common denominator (LCD) of 5/9 and 6/5.
Please help ASAP!!
Thanks in advance
Answer:
45
Step-by-step explanation:
5/9 = 24/45
6/5 = 54/45
5/9= 5/9× 5/5 = 25/45
6/5 = 6/5 × 9/9 = 54/45
Find the slope of the following lines
Explain how you got the answer
[tex]-\displaystyle\frac{4}{3}[/tex]
Step-by-step explanation:Slope describes the change in y divided by the change in x.
Solving Using Slope Formula
One way to find slope when you are given 2 points is the slope formula.
Slope = [tex]\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex]To solve, plug in the x and y-values and simplify. For this question, let (-2, 3) represent the (x₂, y₂) and (1, -1) represent (x₁, y₁).
[tex]\displaystyle\frac{3-(-1)}{-2-1}=-\frac{4}{3}[/tex]This shows that the slope of this line is -4/3.
Solving Through Counting
When given the graph of a function, you can also count out the slope. Starting from the left point, count the change in y-values and the change in x-values. Remember, when the y-values decrease, the change should be negative. The y-value changes by -4 and the x-value changes by +3.
Since the slope is change in y over change in x, the slope is -4/3.
You can walk 4/5 of a mile in 1/4 of an hour (15 minutes). How far can you walk in an hour?
Answer:
0.2
Step-by-step explanation:
Multiply 4/5 and 1/4: Decimal form
.8 • .25
Answer:
3.2 miles in one hour
Step-by-step explanation:
You can walk 4/5 of a mile in 1/4 of an hour (15 minutes). How far can you walk in an hour?
If you can walk 4/5 of a mile in 1/4 of an hour the equation would be:
4/5x = 1/4
multiply both sides by 4:
4(4/5x) = 4(1/4)
3.2 miles per 1 hour
if i get one point each 2 minutes how long until i get 50 points?
Like how long in time.
you find a treasure map Angle is 55 A to B 7 A to C 12
Answer:
55 A
Step-by-step explanation:
the cuboid below is placed on a table.it exerts a pressure f 40 N/cm2. calculate the force exerted on the table.
Answer:
40 multiply by area of the table
Step-by-step explanation:
force = pressure * area of the table
Select the correct answer. Which graphs represent functions?
Answer:
Graph D
Step-by-step explanation:
Graphs that represent functions have to correlate with each other in some way so it has to be either linear or non-linear so Graphs B and C are out of the question
To find the graph that represents a function you do the vertical line test which is when you draw a line though the x-axis and as soon as two or more points are on the same line it is no longer a function so graph a is out
By proess of elimination the function is graph D
The volume of dry goods, like apples or peaches, can be measured usings bushels, pecks, and quarts. A bushel contains 4 pecks, and a peck contains 8 quarts.
What is the relationship between number of bushels, b, and the number of quarts, q? If you get stuck, try creating a table.
The relationship between the number of bushels and the number of quarts is b = 32q.
What is the relationship?The mathematical operation that would be used to determine the required value is multiplication. Multiplication is the process of determining the product of a number. The sign used to represent multiplication is x.
The equation that represents the relationship between bushel and pecks is: b = 4p
The equation that represents the relationship between a peck and quarts is: p = 8q
In order to determine the relationship between bushels and quarts, substitute for p in the first equation
b = 4(8q)
Expand the bracket : b = 4 x 8q
b = 32q
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Nine yards of ribbon are cut into 8 equal pieces. what is the length of each piece of ribbon? write a division expression to represent the problem solve
Answer:
1.125 yards. Division expression: 9 ÷ 8
Step-by-step explanation:
Division expression: 9 ÷ 8
9 is the total length of ribbon and 8 is number of pieces you are cutting the ribbon
Solve the expression:
9 ÷ 8 = 1.125
Solve for x and y, then find m
The value of x is 40 degree and y is 105 degree.
What is Linear pair?Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.
2x - 5 + 75=180
2x+70=180
x= 110/2
x= 55 degree.
Now, y= 2x-5 = 2(55)-5 = 110- 5 = 105 (Vertically opposite angle)
Hence, the value of x is 40 degree and y is 105 degree.
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Angle A and angle B are complementary.
The measure of angle A = 3x+7. The measure of angle B=6x+11. Determine the measure of each angle.
The measure of angle A and angle B are 31° and 59° respectively.
What are complementary angles?Complementary angles that sum up to 90 degrees.
Given the angles as;
angle A = 3x+7angle B =6x+11We have that;
Angle A + Angle B= 90
Substitute the values
3x + 7 + 6x + 11 = 90
collect like terms
9x = 90 - 18
9x = 72
Make 'x the subject
x = 72/ 9
x = 8
Angle A = 3x + 7 = 3(8) + 7 = 31°
Angle B = 6x +11 = 6(8) + 11 = 59°
Thus, the measure of angle A and angle B are 31° and 59° respectively.
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Given Angle A and angle B are complementary, the measure of Angle A and angle B are 31° and 59° respectively.
What is the measure of each angle?complementary angles are angles that sum up to 90 degrees.
Given the data in the question;
Angle A and angle B are complementaryMeasure of angle A = 3x + 7measure of angle B = 6x + 11Numerical measure of each angle = ?Since complementary angles sum up to 90 degrees.
Measure of angle A + Measure of angle B = 90°
Plug in the given values and solve for x.
(3x + 7) + (6x + 11) = 90
Collect like terms
3x + 6x + 11 + 7 = 90
9x + 18 = 90
Subtract 18 from both sides
9x + 18 - 18 = 90 - 18
9x = 72
x = 72/9
x = 8
Hence;
Measure of angle A = 3x + 7 = 3(8) + 7 = 24 + 7 = 31°
Measure of angle B = 6x + 11 = 6(8) + 11 = 48 + 11 = 59°
Given Angle A and angle B are complementary, the measure of Angle A and angle B are 31° and 59° respectively.
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Mark all identifiers that are included when identifying significant digits:
All nonzero digits are significant
Zeros at the end of a number to the right of a decimal point are significant
Zeros at the end of a number without a decimal point are assumed to be not significant
Zeros between two other significant digits are significant
Zeros to the left of the first nonzero digits in a decimal are not significant
All zeros are significant
The markers identified when identifying significant digits include:
All nonzero digits are significant.Zeros between two other significant digits are significantZeros to the left of the first nonzero digits in a decimal are not significantWhat are significant digits?Significant digits in mathematics refers to digits that are meaningful in mathematical calculations. This implies that their position and the quantity alters the value of the number. The particular digit and the position determines whether the digit is significant or not.
Instances of digits with their locations that are significant are:
All nonzero digits are significant.Zeros between two other significant digits are significantZeros to the left of the first nonzero digits in a decimal are not significant.Zeros at the end of a number without a decimal point are assumed to be significantThese instances results to significant digits while the instances below the digits are insignificant:
Zeros at the end of a number to the right of a decimal point are not significant Zeros at the in the front of a non zero digit are not significantRead more on significant digits here: https://brainly.com/question/24491627
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a fire truck is called to a scene. three minutes later, a second truck is called. the first truck averages only 30 miles per hour, but the second averages 60 miles per hour. the truckcs travel a total of 12 miles and arrive at the same time.
The trucks arrive 10 minutes after the first call. The first and the second truck travel for 5 miles and 8 miles respectively.
In a time difference of 3 minutes, two fire trucks are called.
The average speed of the first truck is 30 miles per hour.
The average speed of the second truck is 60 miles per hour.
The trucks totally travel for 12 miles and arrive at the same time.
Let d be the number of miles the first truck drove.
Let t be the number of minutes it took the first truck to travel.
Now, Convert 30 miles per hour to a half mile per minute and 60 miles per hour to a mile per minute as we are measuring time in minutes.
For the first truck:
d = 0.5t
The second truck traveled 12 - d miles if the first truck traveled d miles. In the event where the first truck traveled for t minutes and was called 3 minutes later, the second vehicle would have gone for t - 3 minutes.
For the second truck:
12 - d = t - 3
Therefore,
12 - 0.5t = t - 3
15 = 1.5t
t = 15 / 1.5
t = 10 minutes
The trucks arrive after 10 minutes after the first call.
Then,
d = 0.5t = 0.5(10) = 5 miles
And 12 - d = 12 - 5 = 8 miles.
Hence, the first truck traveled for 5 miles and the second truck traveled for 8 miles.
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The complete question is mentioned below:
A fire truck is called to a scene. Three minutes later, a second truck is called. The first truck averages only 30 mph, but the second averages 60 mph. The trucks travel a total of 12 miles and arrive at the same time. How long from the first call did the trucks take to arrive? How far did each travel? We must first remember to change miles per hour to miles per minute.