Answers
Answer:
-15,20
Step-by-step explanation:
I do not know how to explain how I did it lol :) , but I am very sure that it is correct.
I hope this help you :)
Answer:
-15, 20
Explanation:
To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.
Take a look at the sequence given:
5, -5, 10, -10, 15,...
Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.
5 - first term
-5 - second term
5 ? ? = -5
5 × -1 = -5
So, this means the sequence multiplied negative one by the first term to get the second term. Therefore, the pattern should be 'multiply negative one' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.
5, -5, 10, -10, 15,...
5 × -1 = -5 [correct; provides the next term]
-5 × -1 = 5 [incorrect; does not provide the next term]
10 × -1 = -10 [correct; provides the next term]
-10 × -1 = 10 [incorrect; does not provide the next term]
According to the calculations shown above, the pattern we have identified ('multiply negative one') only works on every other term. Therefore, we must figure out the rest of the pattern for the remaining terms. To do that, identify what basic operation and number must be applied.
-5 - second term
10 - third term
-5 ? ? = 10
-5 × -2 = 10
So, this means the sequence multiplies negative two every other term. Therefore, the pattern should be:
multiply by negative one, multiply by negative two
However, to be sure the pattern we have identified is correct, apply it to the sequence.
5 × -1 = -5 [correct; provides the next term]
-5 × -2 = 10 [correct; provides the next term]
10 × -1 = -10 [correct; provides the next term]
-10 × -2 = 15 [correct; provides the next term]
Now that we have identified the correct pattern, let's apply it to the last term to find the next two terms.
5, -5, 10, -10, 15....
15 × -1 = -15
-15 × -2 = 20
Therefore, the next two terms in the sequence is -15, 20.
Related Questions
Algebra applications: find the value of x and y
Answers
Answer:
x = 65; y = 10
Step-by-step explanation:
Theorem:
If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
The three lines are given as parallel, angles 60 deg and (2x - y) deg are supplementary, and angles (2x + y) deg and 40 deg are supplementary. The sum of the measures of supplementary angles is 180. That allows us to write two equations.
2x - y + 60 = 180
2x + y + 40 = 180
Now we simplify the 2 equations.
2x - y = 120
2x + y = 140
Since -y and y are opposites, we can add the equations to eliminate variable y.
4x = 260
x = 65
Now we substitute 65 for x in the first equation of the system of equations and solve for x.
2x - y = 120
2(65) - y = 120
130 - y = 120
-y = -10
y = 10
Answer: x = 65; y = 10
Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books, b, that he purchases in a year: C(b) = 2.75b + 10 Which statements are true about the variables in the yearly cost function? Check all that apply. A. The number of books purchased is the independent variable. B. The input is the yearly cost. C. The total yearly cost depends on the number of books purchased. D. The number of books purchased is determined by the yearly cost. E. The output is the yearly cost.
Answers
Answer: A, C, and E
Step-by-step explanation:
Hi, to answer this question we have to analyze the function given:
C(b) = 2.75b + 10
Where:
Independent variable: b (number of books) Input = b Output = C = annual cost Dependent variable = C (depends on b, the independent variable)So:
A. The number of books purchased is the independent variable. TRUE
B. The input is the yearly cost. (FALSE, the input is the number of books )
C. The total yearly cost depends on the number of books purchased. TRUE
D. The number of books purchased is determined by the yearly cost. FALSE , the yearly cost is determined by the number
of books.
E. The output is the yearly cost.TRUE
Answer:
A)The number of books purchased is the independent variable.
C)The total yearly cost depends on the number of books purchased.
E)The output is the yearly cost.
those are your corrected answers
Step-by-step explanation:
What is anequation of the line that passes through the points (0, -7) and (-6, -2)?
Answers
Answer:
the desired equation is y = (-5/6)x - 7
Step-by-step explanation:
Going from (-6, -2) to (0, -7), we see that x (the "run") increases by 6 and y (the "rise" decreases by 5. Thus, the slope is m = rise / run = -5/6.
The slope-intercept equation y = mx + b becomes -7 = (-5/6)(0) = b, and so
b = -7.
Thus, the desired equation is y = (-5/6)x - 7.
Check this by letting x = -6 and y = -2: Is the resulting equation true?
-2 = (-5/6)(-6) - 7
-2 = 5 - 7 Yes, this is true and so we have verified that the desired equation is y = (-5/6)x - 7
|9t|=81 answer the equation
Answers
Answer:
9, or -9
Step-by-step explanation:
9t=81 or -81
t=9 or -9
Answer:
[tex]t=9\\t=-9[/tex]
Step-by-step explanation:
[tex]|9t|=81[/tex]
[tex]9t=81\\9t=-81[/tex]
[tex]t=81 \div 9\\t=-81 \div 9[/tex]
[tex]t=9\\t=-9[/tex]
Please Help ASAP C: :D
Answers
Answer:
-21/10
Step-by-step explanation:
-2/5 - 4/5 + (-9/10) = -6/5 -9/10 = -12/10 -9/10 = -21/10
Answer:
-21/10
Step-by-step explanation:
Plug in 4/5 for x and simplify.
-2/5 - 4/5 + (-9/10)
-6/5 + (-9/10)
-21/10 or -2 1/10
I hope this helps :))
Share £10 in the ratio of 2:3 ASAPP!!!!!!!!!!!!
Answers
Answer:
£4 and £6
Step-by-step explanation:
Total = £10
Ratio = 2:3
Total Parts = 2+3 = 5
Divide it by the Total
=> 10/5 = £2
Multiply it by the ratios
1) 2 * 2 = £4
2) 3 *2 = £6
Answer:
4:6
Step-by-step explanation:
2+3=5
10/5=2
3x2= 6
2x2=4
4:6
Are triangles DEF and LNM similar if LN equals 5 MN equals 3 DE equals 10 and FE equals 6
A. No the corresponding sides are not proportional
B. No the corresponding angles are not congruent
C. Yes by the SSS Similarity Postulate
D. Yes by the SAS Similarity Postulate
Answers
Answer:
D. Yes by SAS Similarity Postulate
Step-by-step explanation:
This is the answer because if you flip triangle LNM around to shape the DEF. Then you will see that:
1. angle D is congruent to angle L
2. angle E is congruent to angle N
3. angle F is congruent to angle M
4. angle E and N are both 90 degrees
Because (DE and LN) and (MN and FE) are similar and (E and N) are 90 degrees, then we do not need (FD and ML) to tell if triangle DEF and triangle LNM is similar or not. They are similar.
We next need to figure out if the triangles are similar by SSS (Side-side-side) Similarity Postulate or SAS (side-angle-side) Similarity Postulate. The SAS Similarity Postulate states that if you have 2 similar sides and 1 congruent angle, then the two shapes are similar. Right now we have 2 similar sides in (DE and LN) and (MN and FE) and 1 congruent angle that are both 90 degrees. This follows all the rules of the SAS Similarity Postulate, so that means that these two triangles are similar by SAS Similarity Postulate.
Answer:
D. SAS Similarity Postulate
Step-by-step explanation:
I got it right on the test
Could someone help me with this please !
Answers
List of prime numbers: 2,3,5,7,11
Both C and D equal 2 which is a prime number.
The answers are C and D
What is the area of the regular heptagon shown below? (Round your answer
to the nearest whole number
Answers
Answer:
1783 sq. Units
Step-by-step explanation:
please need help I will be MARKING as BRIANILIST. thank you so much.
Answers
Answer:
Option B is the correct answer.
Step-by-step explanation:
B= {- 5, - 4.5, - 3}
Pls help me with geometry
Answers
Answer:
x = 20
y = 73
Step-by-step explanation:
8x - 87 + 7x - 33 = 180
15x = 180 + 87 + 33
15x = 300
x = 20
8x - 87 = y
160 - 87 = y
y = 73
Help ? I’m really bad at math !
Answers
Answer:
<b = 23°
Step-by-step explanation:
<a and <b are complementary so they add up to 90
<a + <b = 90
Where <a = 67
67 + <b = 90
<b = 90 - 67
<b = 23°
Answer:
∠b=23°
Step-by-step explanation:
∠a+∠b=90°
67°+∠b=90°
Subtract 67° from both sides
∠b=23°
what is the arc length when theta = 3pi/5 and the radius is 7 cm?
21pi/5 cm
12pi/5 cm
6pi/5 cm
3pi/35 cm
Answers
Answer: 21pi / 5
Step-by-step explanation:
Given the following :
Theta (θ) = 3π / 5
radius (r) = 7cm
The length of an arc is calculated using the formula:
(θ / 360) × 2πr
Inputting the provided values into our formula;
θ = 3π/5 = (3 × 180)° / 5 = 540°/5 = 108°
Length = (108 / 360)° × 2π × 7
Length = (3/10) × 14π
Length = 42π / 10
Length = 21π / 5 cm
can someone help fill in the gaps in the table and calculate an estimate for the mean
Answers
Answer:
Step-by-step explanation:
5x3= 15
8x9=72
12x11=132
14x17=138
9x17=153
15+72+132+138+153=510
510/50=10.2= mean
3 to 2 power+8x4 need answer Can’t get it to write 2 squared
Answers
Answer: 3^2 + 8×4
= 41
3^2=9, 8 ×4=32 9 +32=41
Step-by-step explanation:
You can use the carat ^ to indicate an exponent. On a standard keyboard it's above the 6. (shift +6).
I have the same problem on my phone keyboard.
In Brainly, you might be able to use the formula options.
Answer:
41
Step-by-step explanation:
3^2 + 8(4)
Multiply 8 by 4
3^2 + 32
Square 3
9 + 32
Add 9 and 32 to get the answer
41
hope this helps!
2. (10.03)
A teacher gave his class two quizzen; 10% of the class passed the first quiz, but only 60% of the class passed to me what percent of those who passed the first one
passed the second quiz? (2 points)
20%
4096
ООО
60%
75%
Answers
This question is incomplete because it was not written properly
Complete Question
A teacher gave his class two quizzes. 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first one passed the second quiz? (2 points)
a) 20%
b) 40%
c) 60%
d) 75%
Answer:
d) 75%
Step-by-step explanation:
We would be solving this question using conditional probability.
Let us represent the percentage of those who passed the first quiz as A = 80%
and
Those who passed the first quiz as B = unknown
Those who passed the first and second quiz as A and B = 60%
The formula for conditional probability is given as
P(B|A) = P(A and B) / P(A)
Where,
P(B|A) = the percent of those who passed the first one passed the second
Hence,
P(B|A) = 60/80
= 0.75
In percent form, 0.75 × 100 = 75%
Therefore, from the calculations above, 75% of those who passed the first quiz to also passed the second quiz.
Which of the following is the most appropriate unit to describe the rate at which a person reads?
Answers
Answer:
words per minute!
Step-by-step explanation:
Delaware was the first state to enter the Union and Hawaii was the 50th. If we order the positions of entry for the rest of the states, we find that State A entered the Union right after State B, and the product of their order-of-entry numbers is 132. Use the given information to complete each statement. State A was the th state to enter the Union. State B was the th state to enter the Union.
Answers
Answer:
State A was the 12th state to enter the Union. State B was the 11th state to enter the Union.
Step-by-step explanation:
Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:
x*(x+1) = 132
x² + x - 132 = 0
Using quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)} [/tex]
[tex]x = \frac{-1 \pm 23}{2} [/tex]
[tex]x_1 = \frac{-1 + 23}{2} [/tex]
[tex]x_1 = 11 [/tex]
[tex]x_2 = \frac{-1 - 23}{2} [/tex]
[tex]x_2 = -12[/tex]
The negative solution has no sense in the context of our problem, then the solution is x = 11.
Solve for r in the triangle. Round your answer to the nearest tenth.
Answers
Answer:
6.9 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/hyp
sin 35 = x/12
12 sin 35 = x
6.882917236 = x
To the nearest tenth
6.9 =x
Please help- I am very confused-
Answers
Answer:
5÷9
Step-by-step explanation:
5/9 is a fraction where the numerator is divided by the denominator
5 divide by 9
5÷9
Answer:
5
Step-by-step explanation:
5/9 = .55555555555
.55555555555 x 9 = 5
to check the work, just do 5 divided by nine :)
question in attachment
Answers
Answer:
Option B.
Step-by-step explanation:
Continuous probability distribution : A probability distribution is called a continuous probability distribution, if its random variable X is a continuous variable and it can take infinite values (Real values).
Number of boxes cannot be a decimal value. So, it is not a continuous variable. Thus, option A is incorrect.
Temperature of a day is a continuous variable. So, temperature of a day can be represented using a continuous probability distribution. So, option B is correct.
Marks in a test paper cannot represent a continuous variable. Thus, option C is incorrect.
Number of students who uses the internet cannot be a fractional or decimal value. So, it is not a continuous variable. Thus, option D is incorrect.
Therefore, the correct option is B.
I WILL GIVE BRAINLIEST!!! Part A: The Sun produces 3.9 ⋅ 10^33 ergs of radiant energy per second. How many ergs of radiant energy does the Sun produce in 1.55 ⋅ 10^7 seconds? Express your answer in scientific notation and show your work. (5 points) Part B: Which is the more reasonable measurement of the distance between the tracks on a CD: 1.6 ⋅ 10−3 mm or 1.6 ⋅ 103 mm? Justify your answer. (5 points)
Answers
Answer:
Part A: This can be solved using cancellation of units: Energy produced (ergs) = (3.9 x 10^ 33 ergs/ sec)( 1.55 x 10^7 sec) = 6.045 x 10^40 ergs Part B: The grooves within a CD is very small, therefore it would be more reasonable to have a value of 1.6 x 10^-3 mm
Hope this helped you!
Step-by-step explanation:
Which graph represents the solution set of the inequality. 5a+18<-27. Choose 1 answer
Answers
Answer:
c
Step-by-step explanation:
Khan academy
Given ST is tangent to radius R at S, find RT.
Answers
[tex]answer \\ = 5 \sqrt{17} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
ASAP PLEASE!!!
Simplify: 8 √y^2
Answers
Answer:
4√ y
.......................
That should be the right answer
3. The perimeter of a rectangle is 98 feet. Find its dimensions assuming that its length is 2 feet less than twice its width.
The width is
(Simplify your answers.)
and length is
Answers
Answer:
w = 17 fts
l = 32 fts
Step-by-step explanation:
P = 2w + 2l
l = 2w - 2
98 = 2w + 2(2w - 2)
98 = 2w + 4w - 4
98 + 4 = 6w
6w = 102
w = 17 fts
l = 2×17 - 2 = 34 - 2 = 32 fts
Solve the following system by of linear equation by guass jordan method 2x+2y+4z=18 X+3y+2z=13 3x+2y-3z=14
Answers
Answer:
[tex]x + 3y + 2z = 13 \\ 2x + 2y + 4z = 18 \\ 3x + 2y - 3z = 14 \\ \\ x = - 3y - 2z + 13 \\ 2( - 3y - 2z + 13) + 2y + 4z = 18 \\ 3( - 3y - 2z + 13) + 2y - 3z = 14 \\ y = 2 \\ z = \frac{25}{9} - \frac{7}{9} y \\ z = \frac{25}{9} - \frac{7}{9} \times 2 \\ z = \frac{11}{9} \\ x = - 3 \times 2 - 2( \frac{11}{9} ) + 13 \\ x = \frac{41}{9} \\ y = 2 \\ z = \frac{11}{9} [/tex]
Find the surface area of the triangular prism shown below.
units2
5
7
Answers
Explanation: 5*7=35, 5*7=35, 6*7=42, 1/2 of 4*24=12, 1/2 of 4*24=12
35+35+42+12+12= 136 units squared
What is the permeter of square ABCD?
Answers
Answer:
24.3 units (3 s.f.)
Step-by-step explanation:
Since a square has 4 equal sides,
perimeter of ABCD= 4(length of AB)
Distance between 2 points
=[tex] \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]
Length of AB
[tex] = \sqrt{( { - 2 - 4)}^{2} + {(2 - 3)}^{2} } \\ = \sqrt{( - 6)^{2} + ( - 1)^{2} } \\ = \sqrt{37} [/tex]
perimeter of ABCD
[tex] = 4 \sqrt{37} \\ = 24.3 \: units \: (3 \: s.f.)[/tex]
3.
Reasons
Statements
MNOP is a parallelogram
PM || ON
N
M
Alternate Int. Zs Thm.
Given:
MNOP is a parallelogram
MN || PO
Alternate Int. Zs Thm.
Prove:
PM ON
(For this proof, use only the
definition of a parallelogram;
don't use any properties)
Answers
Answer:
[tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles ΔOMN and ΔOMP are congruent (CPCTC)
Step-by-step explanation:
1) MNOP is a parallelogram: Reason; Given
2) [tex]\overline{PM}\left | \right |\overline{ON}[/tex]: Reason; Definition of a parallelogram
3) ∠MON ≅ ∠PMO: Reason; Alternate Int. ∠s Thm.
4) [tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Definition of a parallelogram
5) ∠NMO ≅ ∠POM: Reason; Alternate Int. ∠s Thm.
6) [tex]\overline{OM}\cong\overline{OM}[/tex]: Reason; Reflexive property
7) ΔOMN ≅ ΔOMP: Reason; Angle Angle Side (AAS) congruency theorem
8) [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles are congruent (CPCTC).
Also we have;
9) [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Segment opposite congruent angles are congruent