Answer:
maybe : 1,2,5,6,9,10,13,14,17,
Step-by-step explanation:
I think it's in odd/even number pattern but it'll always skip a number???
or it's just in +1 then +3 pattern
The next terms of the pattern 1,2,5,6,9 are 10, 13,14,17,18,21.
What is sequence?Sequence is a collection of terms which are related in some way which is common to all the terms or some of the terms.
How to find terms of sequence?The pattern is given as 1,2,5,6,9 and we have to find the next terms of the pattern.
The First term is 1, the second term is 2. The difference between them is 1.
Second term is 2 and the third term is 5. The difference between them is 3.
Third term is 5 and the fourth term is 6. The difference between them is 1.
Fourth term is 6 and fifth term is 9. The difference between them is 3.
If we observe pattern in them them we can find that in first term they have added 1 , in second term 3 , in third term 1, in fourth term 3. It means first add 1 and then 3.
The next terms will be :
9+1=10
10+3=13
13+1=14
14+3=17
17+1=18
18+3=21.
Hence the next terms of the pattern 1,2,5,6,9 are 10,13,14,17,18,21.
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find the unknown angle
Answer:
y= 75
x= 53
Step-by-step explanation:
y= 75
Vertically opposite angles
x=53
75 + 52 = 127
angles in a triangle add up to 180
180 - 127 = 53
Hope this helps!
♣ GIVEN ♣
A triangle is given to us.In that triangle two sides are produced.Two angles are given as variables and one of the angle is 52°.The angle formed by two produced sides is 75°.♣ TO FIND ♣
The two unknown angles.♣ SOLUTION ♣
In the given figure y = 75° , since y and 75° are Vertically opposite angles and vertically opposite angles are equal to each other.
Now , we know that the angle sum property of a ∆ is 180°, i.e. sum of all interior angles of a triangle is equal to 180°.
So , in the given ∆ ,
=> x + y + 52° = 180° .
=> 75° + 52° + x = 180°.
=> 127° + x = 180° .
=> x = (180 - 127)°.
☞ x = 53° .
Hence ,
x = 53°.y = 75°.You reflect triangle PQR, with vertices P(-2, -4), Q(-3, -1), and R(-4, -4), across the y-axis to get triangle P′Q′R′. What are the coordinates of triangle P′Q′R′?
A.
P′(-2, 4), Q′(-3, 1), R′(-4, 4)
B.
P′(2, -4), Q′(3, -1), R′(4, 4)
C.
P′(-2, 4), Q′(-3, 1), R′(4, -4)
D.
P′(2, -4), Q′(3, -1), R′(4, -4)
Answer:
D. (2, -4),(3, -1), (4, -4)
Step-by-step explanation:
Hello!
When you reflect over the y-axis you reverse the x.
Negatives become positives and positives become negatives
(-2, -4) turns into (2, -4)
(-3, -1) turns into (3, -1)
(-4, -4) turns into (4, -4)
look for the answer that has (2, -4),(3, -1), and (4, -4)
The answer is D
Hope this helps!
Answer:
the answer is D
Step-by-step explanation:
because i said so
can someone solve this for me????? (10−523)⋅(−2)+x=823
Answer:
the answer is -203 i got 100%
Step-by-step explanation:
The amount of garbage, G, produced by a city with population p is given by G = f(p). G is measured in tons per week, and p is measured in thousands of people.
The town of Tola has a population of 40,000 and produces 13 tons of garbage each week. Express this information in terms of the function f.
Explain the meaning of the statement f(5) = 2.
Answer:
the expression of the information in terms of function f is:
13 = f(40)
The town of Tola has a population of 5000 persons and produces 2 tons of garbage each week.
Step-by-step explanation:
suppose G and p are the two unknowns variables.
where;
G is measured in tons per week and:
p is measured in thousands of people.
∴
The relation between the amount of garbage produced by a city with population p can be expressed as:
G = f(p)
However;
The town of Tola has a population of 40,000 and produces 13 tons of garbage each week.
The objective is to express the information in terms of the function f.
So, if there is a population of 40,000 person in the town,
since p is measured in person per thousand and the value of garbage produced is 13 tons per week.
∴ the expression of the information in terms of function f is:
13 = f(40)
Explain the meaning of the statement f(5) = 2.
The given statement implies that
P which is measured in thousand people = 5
and the value of the garbage produced is 2.
SO , we can say that;
The town of Tola has a population of 5000 persons and produces 2 tons of garbage each week.
Will give brqinlist if correct
Answer:
7 + 8x
Step-by-step explanation:
-11 + 2 (4x -1) + 6
=> -11 + 8x -2 + 6
=> -13 + 8x + 6
=> -7 + 8x
So, the simplified expression is 7 + 8x.
Cindy measured and recorded the temperature of a liquid for an experiment. She used a poorly calibrated thermometer and noted the temperature as 100.5 degrees Fahrenheit. The actual temperature of the liquid was 95 degrees Fahrenheit. The percent error in her calculation is:______.
a. -5.79%.
b. 4.08%.
c. 4.08%.
d. 5.79%.
Answer:
5.79%
Step-by-step explanation:
The percentage error in the measurement is obtained by;
|measured temperature - actual temperature|/actual temperature ×100
actual temperature= 95°F
measured temperature= 100.5°F
|100.5 - 95|/95×100
%error= 5.79%
. The number of parking tickets handed out at BCCC was twice the number of tickets handed out last year. The number of tickets handed out this year was what percent of the number handed out last year
Answer:
200% of tickets handed out this year
Step-by-step explanation:
Let
Tickets handed out last year=x
Tickets handed out this year=2x
The number of tickets handed out this year was what percent of the number handed out last year
Last year was x%
Then, this year would be 200x%
200% tickets was handled out this year
what are the domain and range of this function y=(x+3)^2 -5
a. domain: (-∞, ∞) range: (-5, ∞)
b. domain: (-∞, ∞) range: (-∞, ∞)
c. domain: (-5, ∞) range: (-5, ∞)
d. domain: (-5, ∞) range (-∞, ∞)
Answer: Choice A
Note: the range should be [tex][-5, \infty)[/tex]. See explanation below.
===================================================
We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say [tex](-\infty, \infty)[/tex] which is interval notation. It represents the interval from negative infinity to positive infinity.
The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that [tex]y \ge -5[/tex] and that translates to the interval notation [tex][-5, \infty)[/tex].
The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote [tex](-5, \infty)[/tex] for choice A, when they should have written [tex][-5, \infty)[/tex]
I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.
Option A is the correct choice .
Domain will be → all real numbers .
Range will be → y belongs to R : y greater than or equal to -5 .
→ (x+3)^2 It means 0 to infinity
So (x+3)^2-5= (-5, infinity)
→ Range = (-5, infinity )
For which of these reasons would you create a scatterplot between two variables?
a. To get an initial sense of whether the means of the groups are different from each other.
b. To determine if your research hypothesis has been proven.
c. To determine if the relationship is bi-directional.
d. To see if the relationship is positive or negative.
The answer should be c) To determine if the relationship is bi-directional.
What is a scatterplot?
Scatterplot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed
To get an initial sense of whether the means of the groups are different from each other. scatterplot is used to show relation between the two variables. So option a is wrong.
To determine the research hypothesis has been proven. Scatterplot is no where related to research hypothesis. so option b is wrong
determine if the relationship is bi-directional. Scatterplot is used to determine that the variables are dependent or not i.e they have a relation or not ,option c is correct
To see if the relationship is postive or negative . Scatterplot is used to show dispersed data, it can't be used to show positive or negative.So option d is wrong
Therefore, option c is correct
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Select the correct answer.
Write an expression to represent the sum of three times the square of a number and -7.
In your expression, what is the value of the constant?
O A 1
B. 2
Oc.
w
OD
-7
Reset
Next
Answer:
D. -7
Step-by-step explanation:
Sum of three times the square of a number and -7.
If we call the number x, then the expression is:
3x² - 7Here - 7 is constant, x is variable, 3 is coefficient
Correct answer choice is: D. -7
Simplify. This algebraic expression y-3/3+12
Answer:
y-11
Step-by-step explanation:
First you divide 3 by 3 to get one. Then you add 12 to -1 to get 11. Then you will have y-11. PEMDAS saves lives.
Answer:
y = - 11
Step-by-step explanation:
Let y - 3/3 + 12 = 0
Multiply through by 3, we have as follow:
3y - 3 + 36 = 0
3y + 33 = 0
3y = - 33
y = -33/3 = -11
How can you move just one number to a different
triangle to make the sum of the numbers in each
triangle equal? (Hint: There do not have to be
exactly 3 numbers in each triangle.)
Answer:
Remove 9 from triangle B to A
Step-by-step explanation:
Given
Three Triangles
A: 1,2,3
B: 7,8,9
C: 4,5,6
Required
Make their sum equal
First, we need to calculate the sum in each triangles;
[tex]A = 1 + 2 + 3[/tex]
[tex]A = 6[/tex]
[tex]B = 7 + 8 + 9[/tex]
[tex]B = 24[/tex]
[tex]C = 4 + 5 + 6[/tex]
[tex]C = 15[/tex]
Remove 9 from triangle B to A
[tex]A = 6 + 9[/tex]
[tex]A = 15[/tex]
[tex]B = 24 - 9[/tex]
[tex]B = 15[/tex]
At this point, we have:
[tex]A = 15[/tex] [tex]B = 15[/tex] [tex]C = 15[/tex]
Hence, the solution is to remove 9 from B to A
please help me asap!!:)
Answer:
Hey there!
Basically, you are either going to North Dakota, New Hampshire, New Jersey, New York, New Mexico or North Carolina, as those are the only two word states beginning with N.
Thus, the chance of picking one of those is 6/50, or 3/25.
You have to choose one state, so this is Mutually Exclusive.
Let me know if this helps :)
Two boxes have the same volume. One box has a base that is 5\text{ cm}5 cm5, start text, space, c, m, end text by 5\text{ cm}5 cm5, start text, space, c, m, end text. The other box has a base that is 10\text{ cm}10 cm10, start text, space, c, m, end text by 10\text{ cm}10 cm10, start text, space, c, m, end text. How many times as tall is the box with the smaller base?
Answer:
4times tall
Step-by-step explanation:
Volume of the boxes = Base area × height
Volume of the first box V1 = A1h1
Given the base of the first box to be 5cm, the base area:
A1 = 5cm×5cm = 25cm²
Volume of the first box V1 = 25h1... 1
Similarly, volume of the second box
V2 = A2h2
Given the base of the second box to be 10cm, the base area:
A2= 10cm×10cm = 100cm²
Volume of the second box
V2 = 100h2... 2
If the two boxes have the same volume, then V1 = V2
25h1 = 100h2
divide both sides by 25
25h1/25 = 100h2/25
h1 = 4h2
Since the height of the smaller box is represented as h1, then the height of the smaller base is 4 times tall.
Answer:
4times tall
Step-by-step explanation:
Volume of the boxes = Base area × height
Volume of the first box V1 = A1h1
Given the base of the first box to be 5cm, the base area:
A1 = 5cm×5cm = 25cm²
Volume of the first box V1 = 25h1... 1
Similarly, volume of the second box
V2 = A2h2
Given the base of the second box to be 10cm, the base area:
A2= 10cm×10cm = 100cm²
Volume of the second box
V2 = 100h2... 2
If the two boxes have the same volume, then V1 = V2
25h1 = 100h2
divide both sides by 25
25h1/25 = 100h2/25
h1 = 4h2
Since the height of the smaller box is represented as h1, then the height of the smaller base is 4 times tall.
Suppose your cell phone carrier charges you a monthly fee of $30.00 for up to 300 minutes and $0.45 for each additional minute after the first 300. Assuming you used your phone for x minutes with x > 300, the total monthly fee would be
Answer: Need more info. We need to know how many minutes over the 300 minutes were used in order to calculate the correct monthly fee.
Step-by-step explanation:
Two statistics teachers both believe that each has the smarter class. To put this to the test, they give the same final exam to their students. A summary of the class sizes, class means, and standard deviations is given below:n1 = 47, x-bar1 = 84.4, s1 = 18n2 = 50, x-bar2 = 82.9, s2 = 17Is there evidence, at an ?=0.04 level of significance, to conclude that there is a difference in the two classes? Carry out an appropriate hypothesis test, filling in the information requested.How do I find the standardized test statistic and the p-value?Your decision for the hypothesis test: A. Do Not Reject H0. B. Do Not Reject Ha. C. Reject H0. D. Reject Ha.
Answer:
We conclude that there is no difference between the two classes.
Step-by-step explanation:
We are given that two statistics teachers both believe that each has a smarter class.
A summary of the class sizes, class means, and standard deviations is given below:n1 = 47, x-bar1 = 84.4, s1 = 18n2 = 50, x-bar2 = 82.9, s2 = 17
Let [tex]\mu_1[/tex] = mean age of student cars.
[tex]\mu_2[/tex] = mean age of faculty cars.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex] {means that there is no difference in the two classes}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1\neq \mu_2[/tex] {means that there is a difference in the two classes}
The test statistics that will be used here is Two-sample t-test statistics because we don't know about the population standard deviations;
T.S. = [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }[/tex] ~ [tex]t_n_1_+_n_2_-_2[/tex]
where, [tex]\bar X_1[/tex] = sample mean age of student cars = 8 years
[tex]\bar X_2[/tex] = sample mean age of faculty cars = 5.3 years
[tex]s_1[/tex] = sample standard deviation of student cars = 3.6 years
[tex]s_2[/tex] = sample standard deviation of student cars = 3.7 years
[tex]n_1[/tex] = sample of student cars = 110
[tex]n_2[/tex] = sample of faculty cars = 75
Also, [tex]s_p=\sqrt{\frac{(n_1-1)\times s_1^{2}+(n_2-1)\times s_2^{2} }{n_1+n_2-2} }[/tex] = [tex]\sqrt{\frac{(47-1)\times 18^{2}+(50-1)\times 17^{2} }{47+50-2} }[/tex] = 17.491
So, the test statistics = [tex]\frac{(84.4-82.9)-(0)}{17.491 \times \sqrt{\frac{1}{47}+\frac{1}{50} } }[/tex] ~ [tex]t_9_5[/tex]
= 0.422
The value of t-test statistics is 0.422.
Now, the P-value of the test statistics is given by;
P-value = P([tex]t_9_5[/tex] > 0.422) = From the t table it is clear that the P-value will lie somewhere between 40% and 30%.
Since the P-value of our test statistics is way more than the level of significance of 0.04, so we have insufficient evidence to reject our null hypothesis as our test statistics will not fall in the rejection region.
Therefore, we conclude that there is no difference between the two classes.
A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 35 miles per gallon of gas. During one particular week, the two cars went a combined total of 1800 miles, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week?
Answer:
The first car used 30 gallons and the second one 20 gallons of gas during the trip.
Step-by-step explanation:
35x+40y = 1850 equation 1
x+y = 50 equation 2
x=car 1
y=car 2
Solve it
A supply company sells packs of paper by the box. Each box contains the same number of packs of paper, P. Which equation could be used to find the total number of packs of paper , T that would be in B boxes ordered?
Answer:
T = BP
Step-by-step explanation:
Boxes = B
Pack of paper in each box = P
Total number of packs = T
T = BPIs the equation for total number of packs of paper
19=7X+3-3x
Solve equation
Answer:
x=4
Step-by-step explanation:
19=7X+3-3x
Combine like terms
19 = 4x +3
Subtract 3 from each side
19-3 = 4x+3-3
16 = 4x
Divide each side by 4
16/4 = 4x/4
4 =x
Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 3 psi. If the car’s average tire pressure is on target, what is the probability that the TPMS will trigger a warning?
Answer:
0.0075
Step-by-step explanation:
According to the given situation, the calculation of the probability that the TPMS will trigger a warning is shown below:-
The tire pressure which is 26% below the target pressure is
[tex]= 26\% \times 28[/tex]
= 7.28
Therefore, Tire pressure monitoring systems warn at below is
= 28 - 7.28
= 20.72
Now we will assume tire pressure be x
So,
[tex]P(X<20.72) = P(\frac{X-\mu}{\sigma}<\frac{20.72-28}{3} )[/tex]
After solving the above equation we will get
= [tex]P(X<20.72) = P(Z<-2.43)[/tex]
we will get
= 0.0075
Solve for s
y = SV - Sk^4
Answer:
S = y / (V - k⁴) where V ≠ k⁴
Step-by-step explanation:
y = SV - Sk⁴
y = S(V - k⁴)
S = y / (V - k⁴) where V ≠ k⁴
Evaluate the given integral by changing to polar coordinates. 8xy dA D , where D is the disk with center the origin and radius 9.
Answer:
0
Step-by-step explanation:
∫∫8xydA
converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.
So,
∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ
So we integrate r from 0 to 9 and θ from 0 to 2π.
∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ
= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ
= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ
= 8[6561/4]∫(cosθsinθ)dθ
= 13122∫(cosθsinθ)dθ
Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2
Substituting this we have
13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ
= 13122/2[-cos2θ]/2 from 0 to 2π
13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]
= -13122/4[cos4π - cos(0)]
= -13122/4[1 - 1]
= -13122/4 × 0
= 0
Find the equation of the line graphed below. Write the equation in the form y=mx+b and identify m and b.
Answer:
m = 1/2 and b = 1.
Step-by-step explanation:
The y intercept (b) is at y = 1 so we have
y = mx + 1 so b = 1
The m is the slope of the line.
The graph passes through the point (4, 2)
From the graph, the slope = 2/4 = 1/2.
So it is y = 1/2x + 1.
An is mathematical sentence that compares expression that are not equal
Answer:
Inequality
Step-by-step explanation:
An inequality is mathematical sentence that compares expression that are not equal.
Instead of using an equal sign = , you use an inequality symbol (>, <, ≥, ≤, ≠) with an inequality. If
4²+3²/4²−3² =7/4
, find the value of
24−11⁴/24+11⁴
Solve using PEMDAS for the numerator and denominator.
24-11^4/24+11^4
24-14641/24+14641
-14617/14665
Best of Luck!
what pair of numbers is relatively prime
Answer:
Hi
Step-by-step explanation:
Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.
You decide you need a new computer. The cost of the computer is $768. However,
the store also offers a rent to own option which will cost $37 per week for 24 weeks.
How much more will the rent to own option cost after you have made all of the
payments? S
Answer:32
Step-by-step explanation:
768/24=32
The person buying the new computer will pay $120 more when choosing the rent-to-own option of paying $37 per week for 24 weeks over paying the whole cost of $768 at once.
What is a rent-to-own contract?A rent-to-own contract is a contract where the buyer pays for something as rent to the owner until the set period in the contract.
How to solve the given question?In the question, we are informed that a person decides to buy a new computer. He has two options to buy. Either he can pay the full cost of the computer = $768, or he can choose a rent-to-own option, in which he will pay $37 per week for 24 weeks.
We are asked to find the extra cost that the person will pay if he chooses the rent-to-own option, after completing all his payments.
The total amount that the person pays in the rent-to-own option = $37*24
or, the total amount that the person pays in the rent-to-own option = $888.
The actual cost of the computer = $768.
∴ Extra payment = Total Payment - Actual cost
or, Extra payment = $888 - $768 = $120.
∴ The person buying the new computer will pay $120 more when choosing the rent-to-own option of paying $37 per week for 24 weeks over paying the whole cost of $768 at once.
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What are the steps for using integer tiles to evaluate the expression 45 divided by 15
Answer:
45 / 15 = 3
Step-by-step explanation:
Required
Steps to divide 45 by 15 using integer tiles
Step 1: We start by writing out 45 items;
See attachment 1 where I used 45 boxes as illustration
Step 2: Then, we group these 45 items into groups (15 per groups)
See attachment 2 for illustration
Step 3: Count the number of groups
There are 3 groups;
Hence, 45 / 15 = 3
Answer:
The answer is B
Step-by-step explanation:
bc its 45/15 :)
large cheese pizzas cost $5 each and large one topping pizzas cost $6 each. write an equation that represents the total cost, T , of c large cheese pizzas and d large one-topping pizzas.
Answer:
T = 5c +5d, where unit of the equation is $.
Step-by-step explanation:
Cost of 1 large cheese pizza = $5
No. of large cheese pizza = c
therefore
cost of c large cheese pizza = c*Cost of 1 large cheese pizza = $5c
Cost of 1 large one topping pizza = $6
No. of large one topping pizza = d
therefore
cost of d large one topping pizza = d*Cost of 1 large one topping pizza = cost of d large one topping pizza = $6d
Total cost of c large cheese pizza and cost of d large one topping pizza
= $5c +$6d
total cost is represented by T
thus, T = $5c +$5d Answer
PLEASE HELP ME, I DON'T UNDERSTAND!
Answer:
c
Step-by-step explanation:
We need to divide [tex]9x^2-6x+2[/tex] by 3x -1
we know that 2 = 1+1 so
[tex](9x^2-6x+1)+1[/tex]
if you notice the thing that it's inside the parenthesis it's a perfect square
[tex]((3x)^2-2(3x)+1)+1\\=(3x-1)^2+1\\[/tex]
if we divide this by 3x -1 we get
[tex]\frac{(3x-1)^2+1}{3x-1} \\\\=\frac{(3x-1)^2}{3x-1}+\frac{1}{3x-1} \\\\=3x-1 + \frac{1}{3x-1}[/tex]
so answe is c