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Work Shown:
d = common difference
p = first term = 24
q = second term = a+d = 24+d
r = third term = q+d = 24+d+d = 24+2d = 6
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Solve for d
24+2d = 6
2d = 6-24
2d = -18
d = -18/2
d = -9
We add -9 to each term to get the next term. This is the same as subtracting 9 from each term to get the next term.
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First term = 24
Second term = 24-9 = 15
Third term = 15-9 = 6
We get the sequence 24, 15, 6
72.3 + (-39.1)
☝
Rewrite the expression by breaking up each of the place values. In this case, the place values are tens, ones, and tenths.
Answer:
72.3 - 39.1 = 4tens - 7ones + 2tenth
Step-by-step explanation:
Give the expression 72.3 + (-39.1)
opening the parenthesis:
= 72.3 + (-39.1)
= 72.3 - 39.1
Breaking the decimal values into place values
72.3 = 7tens + 2units + 3tenth
72.3 = 7(10)+2(1)+3(1/10)
72.3 =70+2+0.3
Similarly for 39.1
39.1 = 3tens + 9units + 1tenth
39.1 = 3(10)+9(1)+1(1/10)
39.1 =30+9+0.1
72.3 - 39.1 = 70+2+0.3 - (30+9+0.1)
72.3 - 39.1 = 70+2+0.3 - 30-9-0.1
72.3 - 39.1 = 70-30+2-9+0.3-0.1
72.3 - 39.1 = 40 - 7 +0.2
72.3 - 39.1 = 4tens - 7ones + 2tenth
Answer:
72.3 - 39.1 = 70 + 2 + 0.3 + (-30) +(-9) + (0.1)
Step-by-step explanation:
got it from edmentum
Which of the following statements is false? A. A rectangle is an equiangular quadrilateral. B. Opposite sides of a parallelogram are congruent. C. A square is a regular quadrilateral. D. The diagonals of a rectangle are perpendicular.
Answer:
D.
Step-by-step explanation:
Choices A., B., and C. are always true.
Choice D. is true only for rectangles with congruent sides, which are squares.
Answer: D.
Mrs kanja ,miss kanene and Mrs nyaga have to mark a form three contest for 160students .They take 5mins ,4mins and 12mins respectively to mark a script .If they all start to mark at 9.00am non-stop ,what is the shortest time they ca n take to complete the marking?
Answer:
300 minutes
2:00 p.m
Step-by-step explanation:
Given the following:
Time taken to mark a script :
Mrs Kanja = 5mins
Miss Kanene = 4mins
Mrs Nyaga = 12 mins
Number of scripts = 160
Start time = 9:00 a.m
Rate at which each of them mark:
Mrs Kanja = t / 5
Miss Kanene = t/4
Mrs Nyaga = t/12
Combined rate :
t/5 + t/4 + t/12 = 160
(12t + 15t + 5t) / 60 = 160
32t / 60 = 160
32t = 160 * 60
32t = 9600
t = 9600 / 32
t = 300 minutes
300 minutes = 300/60 = 5hrs
9:00 a.m + 5 hours = 2:00 p.m
Patrick raced round a 440 metre circular track and stopped suddenly after 900 metres . How far was she from the starting point at the 900 metre mark ? Solve
Answer:
20 meters
Step-by-step explanation:
The track is circular so it means that after Patrick raced the entire track he is back at the starting point. In other words, every 440 meters he is back to the beginning.
So we would have that, if he races round the track twice, he would run 440(2) = 880 meters and he would be back at the starting point.
The problem asks us how far is he from the starting point at the 900 meter mark. If at 880 meters he is at the starting point, then at 900 meters he would be [tex]900-880=20[/tex] meters from the starting point.
Help c/8+5 = 24 a) 192 b) 3 c) 7 d) 152
Answer:
c = 152
Step-by-step explanation:
c/8+5 = 24
Subtract 5 from each side
c/8+5-5 = 24-5
c/8 = 19
Multiply each side by 8
c/8*8 = 19*8
c =152
Answer:
D. 152
Step-by-step explanation:
First, subtract 5 from both sides:
c/8 + 5 = 24
c/8 = 19
Multiply both sides by 8:
c = 152
So, the correct answer is D, 152
if the cost of a notebook is 2x-3 express the cost of five books
Answer:
10x - 15
Step-by-step explanation:
5(2x-3) = 10x - 15
What is the simplified form of this expression? (2x + 9) + (11x − 4)
Answer:
Have a great rest of your day :)
Step-by-step explanation:
What is a16 of the sequence 2,11,20
Answer:
137
Step-by-step explanation:
This is an arithmetic sequence with first term (a₁) being 2 and common difference (d) being 11 - 2 = 9.
Explicit formula: aₙ = a₁ + (n - 1) * d so our formula is:
aₙ = 2 + (n - 1) * 9
= 2 + 9n - 9
= 9n - 7
a₁₆ = 9(16) - 7 = 137
If cot^(4)x − cot^(2)x = 1, then the value of cos^(4)x + cos^(2)x is
Answer:
1
Step-by-step explanation:
[tex]cot^4x-cot^2x=1\\cot^4x=1+cot^2x\\cot^4x=cosec^2x\\ cos^4xsin^2x=sin^4x\\cos^4x=\frac{sin^4x}{sin^2x}\\cos^4x=sin^2x[/tex]------- (1)
Putting the value of [tex]cos^4x[/tex] in the equation:
[tex]cos^4x+cos^2x\\sin ^2x +cos^2x\\1[/tex] (Using the identity [tex]cos^2x +sin^2x=1)[/tex]
I am an odd two-digit number. The sum of my two digits is 10 and the difference of my two digits is 0. What number am I?
Please help for 10 points and 5 stars with 1 thanks! :]
probability = favourable outcomes/total outcomes
you need 1 banana, out of 4 and there are total of 6 items so probability will be 4/6
when you take out 1 banana, there are 3 banana left and total of 5 items
so probability of this action will be 3/5
now, next action is taking out another banana.
this is NOT an independent event.
so by we will multiply the probabilities of these events according to rule of products.
so the answer is [tex] \frac{4\cdot3}{6\cdot5}=\frac25[/tex]
or 2×100/5=40%
A bank is offering 5.5% simple interest on a savings account. If you deposit $15000, how much interest will you earn in six year?
What is this question asking for?
What Kinda Interest?
Answer:
a. $4,950
b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate
c. Simple interest
Step-by-step explanation:
a. We want to calculate the amount of interest to be earned in six years
To calculate this, we use the formula for simple interest.
Mathematically;
Simple interest I = PRT/100
Where P is the principal which is the amount deposited = $15,000
R is the rate which is 5.5%
T is the time which is 6 years
Substituting these values in the simple interest formula, we have
I = (15,000 * 5.5 * 6)/100 = $4,950
b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate
c. Simple interest
Plz Help I Will Mark Brainliest If Right f(x) = x^2 + 3 A). y > -3 B). All real numbers C). y ≥ 3 D). y ≤ 3
Answer:
C) y ≥ 3
Step-by-step explanation:
The answer choices suggest that you're interested in the range of the function. x^2 cannot be negative, so its value will be 0 or greater. Adding 3 to x^2 ensures that the value of f(x) will be 3 or greater.
y ≥ 3 . . . . matches C
What is the measure of circumscribed LX?
O 45°
O 50°
O 90°
O 950
Answer:
90°
Step-by-step explanation:
The angle a tangent makes with a radius at the point of tangency is 90 deg.
There are three 90-deg angles in the quadrilateral, so the 4th angle must also measure 90 deg.
Answer: 90°
Based on the tangent theorem the measure of the circumscribed ∠X is: 90°.
What is the Tangent Theorem?The tangent theorem states that an angle of 90 degrees is formed at the point of tangency where a tangent meets the radius of a circle.
YX and WX are tangents of the circle.
m∠Y = m∠W = 90°
Sum of interior angles of a quadrilateral is 360°
m∠X = 360 - 90 - 90 - 90
m∠X = 90°
Therefore, based on the tangent theorem the measure of the circumscribed ∠X is: 90°.
Learn more about the tangent theorem on:
https://brainly.com/question/9892082
An important factor in selling a residential property is the number of people who look through the home. A sample of 17 homes recently sold in the Buffalo, New York, area revealed the mean number looking through each home was 19 and the standard deviation of the sample was 4 people.
Develop a 98 percent confidence interval for the population mean. (Round your answers to 2 decimal places.)
Confidence interval for the population mean is between and ?
Answer:
Confidence interval for the population mean is between 15 homes and 19 homes
Step-by-step explanation:
Given that:
Sample (n) = 17 homes, mean (μ) = 19 homes, standard deviation (σ)= 4 people and confidence (C) = 98% = 0.98
α = 1 - C = 1 - 0.98 = 0.02
α/2 = 0.02/2 = 0.01.
The z score of 0.01 (α/2) corresponds to the z score of 0.49 (0.5 - 0.01) which from the normal distribution table is 2.33
The margin of error (E) is:
[tex]E=z_{0.01}*\frac{\sigma}{\sqrt{n} } =2.33*\frac{4}{\sqrt{19} }=2[/tex]
The confidence interval = μ ± E = 17 ± 2 = (15, 19)
Confidence interval for the population mean is between 15 homes and 19 homes
What is the simplified sum of 3x/x-4 + x-3/2x
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▹ Answer
-1 - 1/2x
▹ Step-by-Step Explanation
3x ÷ x - 4 + x - 3 ÷ 2x
Divide and Rewrite:
3 * 1 - 4 + x - 3 ÷ 2 * x
Calculate:
3 - 4 + x - 3/2x
-1 + x - 3/2x
= -1 - 1/2x
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
Step-by-step explanation:
[tex]\frac{3x}{x-4}+\frac{x-3}{2x}[/tex]
Make them into common denominators. To do so, multiply by the LCM of the denominators. The LCM of the denominators is (x-4)(2x). Thus, we multiply 2x to the first term and (x-4) to the second:
[tex](\frac{2x}{2x}) \frac{3x}{x-4}+(\frac{x-4}{x-4}) \frac{x-3}{2x}[/tex]
Simplify:
[tex]\frac{6x^2}{2x(x-4)}+\frac{x^2-7x+12}{2x(x-4)} \\=\frac{7x^2-7x+12}{2x(x-4)}[/tex]
And this cannot be simplified further (you can also distribute the denominator if preferred).
Compute the value of each expression: |−12|−2|−6|
Answer:
12, 2, 6
Step-by-step explanation:
Find b.
Round to the nearest tenth:
Answer:
always b is equal to 9 is rhdx forum post in is ek of
Answer:
6.7 cm
Step-by-step explanation:
A+B+C=180°
55°+B+82°=180°
B=43°
Using the formulae
(Sin A)/a = (Sin B)/b
(Sin 55)/8 = (Sin 43)/b
b = [8(Sin 43)]/(Sin 55)
b= 6.7 cm
20. Find the midpoint between the given points.
(3, -8) and (-5, -13)?
I need an answer fast! help if you can!
Hi there! :)
Answer:
[tex]\huge\boxed{(-1, -10.5)}[/tex]
Use the midpoint formula to solve for the midpoint:
[tex](x_{m}, y_{m}) = (\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2}}{2})[/tex]
Plug in the points:
[tex](x_{m}, y_{m}) = (\frac{-5+3 }{2} , \frac{-13 -8}{2})[/tex]
Simplify:
[tex](x_{m}, y_{m}) = (\frac{-2 }{2} , \frac{-21}{2})[/tex]
[tex](x_{m}, y_{m}) = (-1 , -10.5)[/tex]
Mr Hamar had rupees 4,400 hie purchase 6 kg of rice at Rupess 75 for KG ,2 packets of oil at rupees 125 per packet and he gave rupees 3,300 to his wife if he divided the remaining Sum between his son and daughter equally find the share of each of them
Step-by-step explanation:
Total rupees= 4400
Price of 6kg rice = 75 x 6 = 450
Price of 2 packets oil = 125 x 2 = 250
Amount given to wife = 3300
Total = 450 + 250 + 3300 = 4000
Remaining amount = 4400 - 4000 = 400
Share of son and daughter = 400 ÷ 2 = 200
So his son and daughter both get 200
how many are 6 raised to 3 ???
Answer:
216
Step-by-step explanation:
When you say "6 raised to 3", it means you multiply 6, 3 times. Meaning:
6✖️6✖️6=216
Hope this helped!
Have a nice day:)
A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel from New York to Chicago. They can take an airplane for $350, a bus for $150, or a train for $225. Once they arrive in Chicago, they can travel by van to their hotel for $60 or take a cab for $40. If each option is equally likely to occur, what is the probability that a tourist will spend more than $300 on these 2 legs of the trip?
List all the different combinations with total cost:
Airplane + van = 350 + 60 = $410
Airplane + cab = 350 + 40 = $390
Bus + van = 150 + 60 = $210
Bus + cab = 150 + 40 = $190
Train + van = 225 + 60 = $285
Train + cab = 225 + 40 = $265
There are 6 different combinations.
There are 2 that are more than $300
The probability would be quantity higher than 300 / total combinations.
Probability = 2/6 = 1/3
Which of the following sets represents a function? {(1, 2), (3, 2), (5, 7)} {(3, 5), (-1, 7), (3, 9)} {(1, 2), (1, 4), (1, 6)}
Answer:
{(1, 2), (3, 2), (5, 7)}
Step-by-step explanation:
A function has a one to one correspondence
Each x can go to only 1 y value
{(1, 2), (3, 2), (5, 7)} function
{(3, 5), (-1, 7), (3, 9)} 3 goes to more than 1 y value
{(1, 2), (1, 4), (1, 6)} 1 goes to more than 1 y value
Answer:
[tex]\huge \boxed{ \{(1, 2), (3, 2), (5, 7)\} }[/tex]
Step-by-step explanation:
[tex]\sf A \ function \ is \ a \ relation \ if \ each \ x \ value \ is \ for \ each \ y \ value.[/tex]
[tex]\{(1, 2), (3, 2), (5, 7)\} \ \sf represents \ a \ function.[/tex]
[tex]\{(3, 5), (-1, 7), (3, 9)\} \ \sf does \ not \ represent \ a \ function.[/tex]
[tex]\{(1, 2), (1, 4), (1, 6)\} \ \sf does \ not \ represent \ a \ function.[/tex]
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement. Triangle LKJ≈____
Answer: C) similar, SAS similarity, triangle LQR
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Explanation:
The vertical angles KLJ and QLR are congruent. This forms the "A" in "SAS". The angles in question are between the marked sides.
KL = 18 is twice that of QL = 9, or put another way, KL/QL = 18/9 = 2. The ratio of the sides is 2. Also, JL/RL = 16/8 = 2 is the same ratio. Because both pairs of sides have the same ratio, the sides are in proportion. This helps form the two "S" letters of "SAS".
The original triangle has LKJ mentioned at the top. Note the order as its important. We start with L and move to K, so LK is the first segment mentioned. LK = 18 pairs up with LQ = 9, meaning that LQ must be the first segment mentioned of the answer triangle. Therefore LQR is the correct letter sequence if we start with point L. Writing QLR is not correct because Q is the first letter here but Q does not pair up with L.
Suppose that four students, Stephanie, Charles, Tim, and Rachel, are all preparing to take standardized exam that contains three subjects, math, reading, and science. Four tutors are available to help the students prepare for the exam. Each tutor is able to help in any of the three subjects. How many different ways can the students, tutors, and subjects be uniquely combined?
Answer:
48 different ways
Step-by-step explanation:
To solve this question, we use the Fundamental Counting Principle technique.
Fundamental Counting Principle can be defined as the way by which we determine the possibility or the number of possible outcomes for an event.
If we have event X and event Y and event Z, then the number of possible outcomes = X × Y × Z
For the above question, we have 3 events
Event 1 : 4 students ( Stephanie, Charles, Tim, and Rachel)
Event 2: 3 subjects ( Math, Reading, And Science)
Event 3 : 4 tutors.
Therefore,the many different ways can the students, tutors, and subjects can be be uniquely combined is:
= 4 × 3 × 4
= 48 different ways
What is the difference between a matrix and a determinant?
Answer:
Step-by-step explanation:
A matrix is a set of numbers organized in rows and columns to represent the variables in a situation, and the determinant is used to find the inverse of a matrix which helps you solve for different variable values.
Answer: A matrix or matrices is a rectangular grid of numbers or symbols that is represented in a row and column format. A determinant is a component of a square matrix and it cannot be found in any other type of matrix. ... A determinant is a number that is associated with a square matrix.
Step-by-step explanation:
If y=26−(3x+2), then x = ?
Answer:
-1/3y +8 = x
Step-by-step explanation:
y=26−(3x+2)
Distribute
y = 26 -3x-2
Combine like terms
y = 24 -3x
Subtract 24 from each side
y -24 = -3x
Divide each side by -3
y / -3 -24/-3 = -3x/-3
-1/3y +8 = x
Dubai Mall and Deira City Centre are equidistant from Wafi Mall. Considering Wafi Mall as origin, the position of Deira City Centre is ( 0,7). If the ordinate of the position of Dubai Mall is zero, then write the coordinates of the position of Dubai Mall.
they're equidistant, so distance should be equal.
distance of City centre is [tex]\sqrt{0^2+7^2}=7[/tex]
distance of mall is simply $x$. (ordinate is 0, means the point is on x axis , and that's the distance from origin)
thus, $$x=7$$
PLEASE HELP! WILL GIVE BRAINLIEST!
Answer:
f(1) = 45
f(n) = f(n-1)*(4/5)
Step-by-step explanation:
f(1)
= 45(4/5)^(1-1)
= 45(4/5)^(0) use law of exponents
= 45*1
= 45
f(1) = 45
f(n) = f(n-1)*(4/5)
please answer the question
Answer is C
Step-by-step explanation:
I assure you that if you check a,b,c, and d by putting them into desmos graphing calculator you can find which graph it is. I plugged the third equation in and found that they were exact. If you want to do it the "smart" way that I teacher would show you, as you look at the answers and determine by certain points on the graph which one lines up. You start with 1/x.
Good Luck
