Using arithmetic sequence concepts, it is found that the common difference is of 0.25.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem, we have that:
[tex]a_3 = 8, a_7 = 9[/tex]
Hence:
[tex]a_7 = a_3 + (7 - 3)d[/tex]
9 = 8 + 4d
4d = 1.
d = 0.25.
The common difference is of 0.25.
More can be learned about arithmetic sequence concepts at https://brainly.com/question/6561461
Please, Help.
the answer isn't 30°
The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A)
How to find a missing angle by triangle properties
Triangles are geometrical figures formed by three sides and whose sum of internal angles equals 180°. There are two kind of triangles existing in this question: (i) Right triangles, (ii) Isosceles triangles.
Right triangles are triangles which one of its angles equals 90° and isosceles triangles are triangles which two of its sides have equal measures.
According to the statement, we know that triangle BQR is an isosceles triangle, whereas triangles ABC, ANB and NBC are right triangles. Based on the figure attached below, we have the following system of linear equations based on right triangles ABC and NBC:
2 · x + 90 + θ = 180 (1)
(90 - x) + 90 + θ = 180 (2)
By equalizing (1) and (2) we solve the system for x:
2 · x = 90 - x
3 · x = 90
x = 30
And by (1) we solve the system for θ:
θ = 180 - 2 · x - 90
θ = 30
The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A) [tex]\blacksquare[/tex]
To learn more on right triangles, we kindly invite to check this verified question: https://brainly.com/question/6322314
Please help me with this please and thank you
Answer:
f(x) = 2(1/3)^x
Step-by-step explanation:
To find the parameters of this exponential equation, follow the instructions given in the hint.
__
b = 6/18 = 1/3 . . . . . divide 6 by 18 to find 'b'
18 = a(1/3)^-2 . . . . . substitute a point and 'b' in the equation
18(1/3)^2 = a = 2 . . . . multiply by (1/3)^2
The equation is ...
f(x) = ab^x
f(x) = 2(1/3)^x
simplify the following quadratic expressions
1) 2x^2 -3x -9
2) 3x^2 +5x +2
Answer:
Below in bold.
Step-by-step explanation:
1) 2x^2 -3x -9
2 * -9 = -18. We need 2 numbers whose product is -18 and whose sum is -3. They are -6 and + 3. So:
= 2x^2 - 6x + 3x - 9
= 2x(x - 3) + 3(x - 3)
= (2x + 3)(x - 3)
2) 3x^2 + 5x +2
Now 3 * 2 = 6 We need to numbers whose product is + 6 and whose sum is +5. Theres are + 3 and + 2>
= 3x^2 + 3x + 2x + 2
= 3x(x + 1) + 2(x + 1)
= (3x + 2)(x + 1)
=
Help me please so i can get points real quick!!
A hot-air balloon is flying at an altitude of 2958 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 28, how far is the house from the pilot?
Answer:
6300.70 feetStep-by-step explanation:
Let the distance between pilot and house be d.
The three points form a right triangle, with height of 2958 ft and opposite angle 28 degrees.
Find d using trigonometry
sine = opposite / hypotenusesin 28° = 2958/dd = 2958/sin 28°d = 6300.70 feetLets see
sinØ=P/Hsin28=2958/HH=2958/sin28H=6300.7ftDraw the graph of the equation x+5y=6
Answer:
Step-by-step explanation:
Put a circle round the largest number and a square round the smallest number in estha
a) 8 -7 -4 0 7
b) -9 1 0 -1 -4
C) -4 -8 -3. -7 -2
Answer:
A 406 of answer your question please sorry
8. What is m<1
77
1
56
A 103°
| C 133°
C °
D 124°
B 47°
Answer:
Option C
Step-by-step explanation:
Exteriore angle property: Exterior angle equals the sum of opposite interior angles.
∠I = 77° + 56°
= 133°
Most cereal boxes are about 12 inches tall, 8 inches wide, and 2 inches deep. 1. Calculate the volume and surface area of a standard cereal box. Be sure to write down the formulas used and show all work 2. Calculate the cost of manufacturing a standard cereal box if cardboard cost $0.05 per square inch. show all work
Answer:
Volume: 192 cubic inches
Surface area: 272 square inches
Manufacturing cost: $13.60
Can you guys help me do today.
Answer:
Down Below
Step-by-step explanation:
b=0.5
g=0.8
1. 3b + 5g = ?
3×0.5+5×0.8=?
1.5+4= 5.5 cm
2. 6(3b+5g) = ?
18b + 30g
18×0.5+30×0.8
9+24= 33 cm
3. 2b + 3g
2×0.5+3×0.8
1+2.4=3.4 cm
4. 7(2b+3g)
14b + 21g
14×0.5+21×0.8
7+16.8= 23.8 cm
5. Add number 2 and 4 together
14b+21g+18b+30g= 32b+ 51g
Take numbers and add them from problems 2 and 4
23.8+33=56.8 cm
Say thanks! I just did this because I have 1,633 points (Now 1,533 I think) SOOO first comes first served
Please answer this it would be very helpful if you did.
Answer:
See below ↓↓↓
Step-by-step explanation:
Probability of getting heads
Outcome (head) = 1Total outcomes = 2P (head) = 1/2Probability of getting an odd number
Outcome (odd) = {1, 3, 5} = 3Total outcomes = 6P (odd) = 3/6 = 1/2The outcomes are equally likely because the probabiity of each outcome is the same.
what is the slope of (2,5) (-6,-3)
Answer:
m=1
Step-by-step explanation:
(2,5);(−6,−3)
(x1,y1)=(2,5)
(x2,y2)=(−6,−3)
Use the slope formula:
m=
y^2−y^1
x^2−x^1
=
−3−5/−6−2
=
−8/−8
=1
Answer:
m=1
Answer:
[tex]\boxed{\sf{1}}[/tex]
Step-by-step explanation:
To solve this problem, you have to use a slope formula.
Slope formula:
[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{Rise}{run} }[/tex]
[tex]\sf{y_2=(-3)}\\\\\sf{y_1=5}\\\\\sf{x_2=(-6)}\\\\\sf{x_1=2}[/tex]
Rewrite the problem down.
[tex]\sf{\dfrac{(-3)-5}{(-6)-2} }[/tex]
Solve.
[tex]\sf{\dfrac{(-3)-5}{(-6)-2}=\dfrac{-8}{-8}=\boxed{\sf{1} }[/tex]
Therefore, the slope is 1, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Help Needed. Please.....!
Answer:
1 7/8
Step-by-step explanation:
You just have to subtract 2 from 1/8.
2. Which exponential function matches the
values in the table below?
х
3
4
5
4,096
32,768
| f(x) 512
A f(x) = x8
B f(x) = 8*
C f(x) = 64(2)*
D f(x) = 8x
Answer:
B. f(x) = 8*
Step-by-step explanation:
putting the value given in table
=> 512 = 8³
=> 512 = 512
=> 5,096 = 8⁴
=> 5,096 = 5,096
=> 32,768 = 8⁵
=> 32,768 = 32,768
so, it's B f(x) = 8*
Answer:
The answer is B) f(x)=8^x
Can someone please help me I will give y’all brainiest or whatever please
Answer:
c
Step-by-step explanation:
1 translates to 2 because it moves up and over
and 2 is a reflection of 3 because its a mirror image
Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for a.
A sphere has a radius of 3.5 feet.
The volume of the sphere is about
ft?
Answer:
179.50
Step-by-step explanation:
The formula for calculating pi is as followed: 4/3·π·r³
The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.
∴V=4/3·3.14·3.5³
V=179.503333333
Round your answer to the nearest hundredth:
179.503333333 rounded to the nearest hundredth becomes 179.50
∴V=179.50
-------------------------------------------------------------------------------------------------------------
Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.
V=π.4/3·r³
V=π·57.1666666667
Round 57.1666666667: 57.17
V=57.17π
Either one would work. Hope this works.
50% is the same as what decimal?
Answer:
0.5
Step-by-step explanation:
To convert a percentage into a decimal you divide by 100 :
50% ÷ 100 = 0.5
Hope this helped and brainliest please
Answer: 0.5
Step-by-step explanation: 50/100
Refer to the figure below. What are the answers for the four blanks?
Answer:
see explanation
Step-by-step explanation:
the figure is an isosceles trapezium
The legs are congruent , that is
BC = AD = 15 units
The upper base angles are congruent , so
∠ B = ∠ A = 145°
Any lower base angle is supplementary to any upper base angle, that is
∠ C + ∠ B = 180°
∠ C + 145° = 180° ( subtract 145° from both sides )
∠ C = 35°
The lower base angles are congruent , so
∠ D = ∠ C = 35°
Jack has $1,331 in an account that earns 5% interest compounded annually.
To the nearest cent, how much will he have in 3 years?
Answer:
$1540.80
Step-by-step explanation:
Answer: 1540.80
Step-by-step explanation: i got it right on my ixl
A department store buys 300 shirts at a cost of $8,100 and sells them at a selling price of $30 each. Find the percent markup.
Answer:
11.11%
Step-by-step explanation:
C.P = $8,100
S.P =$30 ×300
=$9,000
Markup = $9000-$8100
=$900
% markup = 900/8100 × 100
=11.11%
A son is one half as old as his father. The some other ages is 72 years. What is the age of each?
Answer:
The son is 24 and the father is 48
Step-by-step explanation:
If you let x = the age of the child, then the father is 2x old since the father is twice as old as the son. The sum of their ages would be 1x + 2x which simplifies to 3x.
Since the problem gives the total of their ages as 72, we know that 3x = 72.
Dividing both sides by 3, we get x = 24, which we said was the age of the child.
Since the age of the father is 2x, we can say that 2x = 2(24), or 2x = 48 for the age of the father.
Mayerlin has a mask collection of 400 masks. She keeps some in a display case and the rest on the wall. She keeps 24% of her masks in the display case. How many masks does she keep on her wall?
The number of masks that Mayerlin kept on her wall given the information in the question is 304.
What are percentages?Percentage is the fraction of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency.
How many masks are on the wall?Percentage of the masks on the wall = 100 - 24 = 76%
Number of the masks on the wall = 76% x 400 = 304
To learn more about percentages, please check: https://brainly.com/question/25764815
Thomas is rolling a fair six-sided number cube numbered from 1 to 6. The situation with a probability closest or equal to 0 is rolling a number
greater than 5
greater than 1
less than 9
less than 4
For a class activity, each student randomly chooses a number from 1 to 10. Which model shows the probability of choosing a multiple of 4?
2/8
2/10
8/2
10/2
Sonya is thinking of conducting a survey with her seventh-grade classmates. She knows she will need to use a sample of students in her survey. Which of the following surveys would not be valid with a sample of seventh-grade classmates?
theme for the seventh-grade Fun Night
bank that offer the most services
milk choices offered at lunch
best backpack for school
A bag contains 4 white, 3 blue, and 3 red marbles. Find the probability of choosing a red marble, then a white marble if the marbles are replaced.
7/10
7/100
12/90
12/100
Find the probability of spinning the following. P(not 7)
1/7
1/8
7/8
4/8
The answers to your questions are as follows :
The situation with a probability closest or equal to 0 is rolling a number: (A) greater than 5. The model which shows the probability of choosing a multiple of 4 is: ( B ) [tex]\frac{2}{10}[/tex] (2/10)The only survey that would not be valid with a sample of seventh-grade classmates is : ( B ) Bank that offer the most services.The probability of choosing a red marble, then a white marble if the marbles are replaced is : ( A ) 7/10.The probability of spinning the following. P(not 7) = 7/8Meaning of ProbabilityProbability is a branch of mathematics that deals with the degree of occurrence of an event.
1) The situation with a probability closest or equal to 0 is rolling a number: (A) greater than 5.
Because: there is only one number greater than 5 in that list (which is 6)
2) The model which shows the probability of choosing a multiple of 4 is: ( B ) [tex]\frac{2}{10}[/tex] (2/10)
Because: there are only two multiples of 4 that can be picked from number 1-10
3) The only survey that would not be valid with a sample of seventh-grade classmates is : Bank that offer the most services.
Because: they are not working and might have little or no idea about banking services.
4) The probability of choosing a red marble, then a white marble if the marbles are replaced is : 7/10.
where the probability of picking a red marble is = [tex]\frac{3}{10}[/tex]
The probability of picking a white marble is = [tex]\frac{4}{10}[/tex]
since the marbles were replaced : [tex]\frac{3}{10}[/tex] + [tex]\frac{4}{10}[/tex] = [tex]\frac{7}{10}[/tex]
5) The probability of spinning the following. P(not 7) = 7/8
The probablity of picking a 7 is = [tex]\frac{1}{8}[/tex]
The probability of not is = 1 - probability of picking 7
1 - [tex]\frac{1}{8}[/tex] = [tex]\frac{7}{8}[/tex]
In conclusion, go the answers related to your questionare provided above for each question.
Learn more about probability : https://brainly.com/question/24756209
#SPJ1
Pls explain thoroughly
what is the area of this shape?
Answer:
130.5 mi sq
Triangle: A = bh/2
A = ((21 - 12) x (3))/2
A = (9 x 3)/2 = 13.5 mi sq
Middle rectangle: A = bh
A = (6 + 3)(15 - 3)
A = (9)(12) = 108 mi sq
Last rectangle: A = bh
A = 3 x 3 = 9 mi sq
TOTAL: 13.5 + 108 + 9 = 130.5 miles sq
Have a good night!
A watercolor painting is 22 inches long by 8 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat?
the area of the mat.
solution:22 + 3= 25
8 + 3= 11
= 25 inches long by 11 inches wide.
25 × 11= 275 in^2
the area of the mat is 275 in^2.
please help me......asap
Answer:
Survey all families from a smaller town.
Step-by-step explanation:
It would be more easier to survey families in a small town
-(x+4)+3x=1=2x+5 distributive propert
Answer:
=5(9)+6+1. =45+7 =52
=52.move the x with the negative exponent into the denominator and change the sign. 1,3x'y+2xy-5y.solve when x = - 2;y = 3
Step-by-step explanation:
3+x=7 help please I’m so confused
Step-by-step explanation:
#CARRY LEARNPA BRAINLIEST PO!Answer:
[tex]\huge\boxed{\bf\:x = 4}[/tex]
Step-by-step explanation:
[tex]3 + x = 7[/tex]
Bring 3 to the right hand side of the equation and isolate the variable.
[tex]3 + x = 7\\x = 7 - 3\\\boxed{\bf\:x = 4}[/tex]
[tex]\rule{150pt}{2pt}[/tex]