Answers
Observe that the sequence increases by adding three units. It's an arithmetic sequence.
Let's use the arithmetic sequence formula.
[tex]f(n)_{}=f(1)_{}+(n-1)d[/tex]Where, f(1) = 7, d = 3. Let's replace these values.
[tex]\begin{gathered} f(n)=7+(n-1)\cdot3 \\ f(n)=7+3n-3 \\ f(n)=3n+4 \end{gathered}[/tex]Hence, the answer is D.Related Questions
To which set(s) of numbers does √2 belong?
Select all that apply.
A. rational
B. irrational
C. integer
D. whole
E. natural
F. not rational
Answers
The number √2 is an irrational number, thus, the correct options are B: irrational and F: not rational
To wich sets the number belongs?Remember what each sets are.
Natural or whole numbers are all the numbers that can be get by adding ones to one {1, 2, 3, 4, ...}
Integers are like the above ones, but also includes the zero and negative numbers.
Rationals are the ones that can be written as a quotient between two integers, and irrationals are these ones that can't be written like that.
Finally, real numbers are all the numbers.
In this case we have the square root of a prime number, √2, this is always a irrational number.
Then option B is correct.
Trivially, option F (not rational) is also true, because if the number is irrational, then it is not rational.
Then the correct options are B and F.
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See questions below. Thank you
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given data
[tex]\begin{gathered} n=10 \\ r=7 \end{gathered}[/tex]STEP 2: answer question a
[tex]^nC_r=\frac{n!}{(n-r)!r!}[/tex]To get the answer,
[tex]\begin{gathered} ^{10}C_7=\frac{10!}{(10-7)!7!} \\ =\frac{10\times9\times8\times7!}{3!7!}=\frac{10\times9\times8}{3!}=120 \end{gathered}[/tex]Hence, 120 different toppings pizza are possible
STEP 3: Answer question b
[tex]=^{75}C_4=\frac{75!}{(75-4)!4!}=1215450[/tex]Hence, 1215450 mini-boxes are possible
The cost to travel X miles east or west on a train is the same. The function for the cost
c(x) = 0.75|x| + 25.
Describe how c(x) is related to its parent function and interpret the function in the context of the situation.
Answers
C(x) is related to its parent function c(x) = 0.75|x| + 25.
The function in the context of the situation illustrated that the cost is the same.
How to illustrate the information?It should be noted that a function is used to show the relationship between the variables.
In this case, the cost to travel X miles east or west on a train is the same. The function for the cost is given as c(x) = 0.75|x| + 25.
Let East = positive direction
Let West = negative direction
Let the travel distance in East = x
Travel distance for West = -x mile
The cost to travel East x miles will be:
= 0.75(x) + 24
= 0.75x + 25
The cost to travel West will be:
c(-x) = 0.75x + 25
This shows that the cost will be the same even though there in different directions.
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2(y − 11) = 4 im sorry i dont know what to do when the subtraction sign is there?
Answers
2y - 22 =4
Then add 22 on both sides
2y = 26
And then just divide by 2
Y=13
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Answers
The value of expression c − a + b d on simplification is (-10101.2).
As per question we need to solve the given equation i.e., c − a + b d
And we are provided with the values of a, b , c and d.
Here we have ,
a=78,
b=−716
c=0.8
and d=14
The given equation is,
c − a + b d
Now we need to substitute the value of a, b, c and d. On substituting the value of a, b, c and d , we get
(0.8) - 78 + (-716) (14)
= (0.8) - 78 - 10024
= (-10101.2)
So, we can conclude that the value of given expression on simplification is (-10101.2).
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Please help I’ll mark you as brainliest if correct!!
Answers
Blanks to be filled by 4,3,8 and 3.
What is multiplication?Multiplication in mathematics is the same as adding equal groups. As we multiply, there are more items in the group. The product, the two factors, and the product are all components of a multiplication problem. The numbers 6 and 9 are the factors in the multiplication equation 6 x 9 = 54, and 54 is the result.
Given Data
3 __ 8
× 7 8 4
_____________
1 _ 9 2
2 7 __ 4
_ 4 3 6
_____________
2 7 2 8 __ 2
_____________
Solving
Multiplying and adding,
3 _4_ 8
× 7 8 4
_____________
1 3_ 9 2
2 7 _8_ 4
_ 4 3 6
_____________
2 7 2 8 _3_ 2
_____________
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Select the counterexample that shows that the conjecture is false.
Conjecture: The product of two positive numbers is always greater than either number
Answers
Answer: 1*5=5 is the counterexample.
Step-by-step explanation: The conjecture stated is that the product of two positive numbers is always greater than either number. We have to find certain values to check and see if this conjecture is false. We can use the numbers 1 and 5 to multiply. This would be the identity property of multiplication. 1 and 5 are both positive numbers and therefore that 1*5=5 is the counterexample.
Find the first derivative.
Answer: y’ = 2/3 x^1/2 - 2/ sqrt of x - 5/2x^2/3
I’m given an answer but don’t know how to get it.
Answers
Answer: Use the quotient rule to solve this problem (formula attached). g(x) would be -sqrt x and f(x) would be x^2 - 4x +5.
If a = 4 + 2i and b = 3, then find the value of the ab² in fully simplified form.
Answers
The value of complex number is [tex]ab^{2}[/tex] = 36+18i
What is complex number?
The complex number is basically the combination of a real number and an imaginary number. The complex number is in the form of a+ib, where a = real number and ib = imaginary number.
The alphabet i is referred to as the iota and is helpful to represent the imaginary part of the complex number. Further the iota(i) is very helpful to find the square root of negative numbers.
Given,
a = 4+2i
b = 3
[tex]b^{2}[/tex] = 3(3)
= 9
Hence, the value of
[tex]ab^{2}[/tex] = (4+2i)9
=36+ 18i
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A store sold 14 more colored shirts than white shirts. The white shirts cost $9.95, and the colored shirts cost $10.50. The store sold $310.60 worth of shirts.
How many of each type of shirt were sold?
Answers
A store sold 22 colored shirts and 8 white shirts.
Let x be the number of colored shorts and y be the number of white shirts.
A store sold 14 more colored shirts than white shirts.
so, we get an equation,
x = y + 14 ....................(1)
The white shirts cost $9.95, and the colored shirts cost $10.50. The store sold $310.60 worth of shirts.
So we get an equation,
10.50x + 9.95y = 310.60 .............(2)
Substitute above value of x in equation (2)
10.50(y + 14) + 9.95y = 310.60
10.50y + 147 + 9.95y = 310.60
20.45y = 310.60 - 147
20.45y = 163.6
y = 8
Substitute above value of y in equation (1)
So, x = 8 + 14
x = 22
Therefore, a store sold 22 colored shirts and 8 white shirts.
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Factor:
b(a+1)^2 -5(a+1)
Answers
[tex] = (a + 1)(b(a + 1) - 5)[/tex]
HOPE THIS HELPS
Which numbers are solutions of x^2 + 20 = 9x + 2?
Answers
Answer:
x = 6 or x = 3
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 20 = 9 x + 2
Subtract 9 x + 2 from both sides:
x^2 - 9 x + 18 = 0
The left-hand side factors into a product with two terms:
(x - 6) (x - 3) = 0
Split into two equations:
x - 6 = 0 or x - 3 = 0
Add 6 to both sides:
x = 6 or x - 3 = 0
Add 3 to both sides:
Answer: x = 6 or x = 3
Answer:
Step-by-step explanation:
(x-6)(x-3)
x1 =6
x2 = 3
is 257 math map good for a 9th grader? fall edition?
Answers
Answer:
VERY
Step-by-step explanation:
VERY
3. Simplify using BODMAS property a) 107-[59-(18+9-(12-18+6) +3}] b) [222-486 of 8]+(58-45) * 8 c) 1500-[160+ (40-(120-100)}]
Answers
Answers to all the problems using BODMAS property are:
(A) 78(B) -2,008(C) 1,320What is BODMAS property?The brackets must be solved first, then powers or roots (i.e. of), Division, Multiplication, Addition, and finally Subtraction, according to the BODMAS rule. Any expression can only be solved correctly if the BODMAS rule or the PEMDAS rule is applied.So, (A) 107-[59-(18+9-(12-18+6) +3}]:
107-[59-(18+9-(12-18+6) +3}]107-[59-(18+9-0+3}]107-[59-(27+3)]107-[59-30]107 - 2978(B) [222- 486 of 8]+(58-45) × 8
[222- 486 of 8]+(58-45) × 8[-264 × 8]+(13)× 8-2,112 + 104-2,008(C) 1500-[160+ (40-(120-100)}]
1500-[160+ (40-(120-100)}]1500-[160+ (40-20}]1500-[160+ 20]1500-1801,320Therefore, answers to all the problems using BODMAS property are:
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3. A bus travels a distance of 60 km at a steady speed of 60 km/h. (a) Does the distance travelled vary directly with time?If the journey takes 8 hours, find its speed.
Answers
a) The distance that the bus traveled varies directly with time.
b) If the journey of 60 km takes 8 hours, the speed of the bus is 7.5 km/h.
What is the relationship between distance and speed?The relationship between distance and speed can best be explained below:
For a constant speed, for example, 60 km/h, the distance traveled, 60 km, is proportional to the time used.
But if the distance is fixed at 60 km, the time it takes the bus, for example, 8 hours, is inversely proportional to the speed.
Total distance = 60 km
Steady speed = 60 km/h
Thus, for every kilometer, the bus takes one minute (60/60) and for every minute, the bus travels a kilometer.
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given h(x)=-[tex]\sqrt{x}[/tex]x-6+8 witch is the correct transformation from the parent function
Answers
The correct transformation include
Horizontal translation to the right by 6 units: Vertical translation up by 8 units: How to determine the transformation of the graph?The equation of the graph is given as
y = √(x -6) + 8
The above equation is a square root
The parent equation of the square root is
y = √x
The sequence of transformations from y = √x to y = √(x - 6) + 8 is as follows:
Shift to the right by 6 unitsShift up by 8 unitsThe transformation rule of the above transformations are as follows:
Shift to the right by 6 units: (x - 6, y)Shift up by 8 units: (x, y + 8)When the above transformations are applied on the equation, we have:
Shift to the right by 6 units: (x - 6, y)Shift up by 8 units: (x - 6, y + 8)This means that the function y = √(x -6) + 8 can be gotten by applying the above sequence of transformation on y = √x
See attachment for the graphs of the transformations where the blue line represents y = √x while the other line represents y = √(x -6) + 8
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What is 1/2inch to 4 ft
Answers
The required metric conversion is:
96 times 1/2 inch is equal to 4 feet
In this question, we need to find convert 1/2 inch to 4 feet
We need to convert metric unit.
We know that, 1 feet = 12 inches
So, 4 feet would be 48 inches
We can write 48 inches as,
48 inches
= 96 × (1/2) inches
This means, if we add 1/2inch 96 times then it is equal to 4 feet
Therefore, the required metric conversion is: 96 times 1/2 inch is equal to 4 feet
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help me with this is due tommorow
Answers
a ) The value is 4.472
b)2 decimal place is 4.47
What is decimal number ?When expressing a whole number and a fraction together, decimals are utilized. Here, we shall use a "." (also known as a decimal point) to demarcate the full number from the fraction. Say, for illustration, that you intend to bring a cone of ice cream. You are informed by the vendor that ice cream costs $2 and 50 cents. Now, if you wanted to sum up this cost in a single number, you would say that an ice cream cone costs $2.50. You may be utilizing decimals without even recognizing it in a variety of everyday settings.
[tex]\sqrt{4.5^{2} -0.5^{2} }\\ \sqrt{20.25-0.25} \\\sqrt{20}\\ 4.4721[/tex]
a ) The value is 4.472
b)2 decimal place is 4.47
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Find the angles and sides of the right triangle B = 70 degrees, b= 19ft. Please round to the nearest degree.
Answers
Data:
• B = 70°
,• b = 19ft
,• C = 90°
Procedure:
• Finding the angles
We know that C = 90° as the image shows the symbols. Also, we know that the sum of the interior angles of a triangle are 180°. Then, to get A we have to do the following:
[tex]A+B+C=180[/tex]Isolating for A:
[tex]A=180-B-C[/tex]Replacing the values we know:
[tex]A=180-70-90[/tex][tex]A=20[/tex]• Finding side ,a
Using trigonometric functions, we can get a.
[tex]\tan (A)=\frac{a}{b}[/tex]As we already know the value of A and b, we can isolate for a:
[tex]a=b\cdot\tan (A)[/tex]Replacing the values:
[tex]a=19\cdot\tan (20)\approx6.92[/tex]• Finding side ,c
Finally, using the Pythagorean Theorem, we can calculate c:
[tex]c^2=a^2+b^2[/tex]Isolating for c:
[tex]c=\sqrt[]{a^2+b^2}[/tex]Replacing the values:
[tex]c=\sqrt[]{6.92^2+19^2}[/tex][tex]c\approx20.22[/tex]
Answer:
• A = 20°
• a = 6.92 ft
,• c = 20.22 ft
1) What is the midpoint formula? Use it to find the midpoint of (1, 5) and (-8, 17).
Please help me
Answers
Answer:
the answer to the midpoint of 1.5 and -8,7 is (-7/2,11)
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
it's easily 47 as it's finished basement ALONE and b is 3 car garage ALONE while c is both so it's asking who has a finished basement ALONE/ONLY
Answer:
38
Step-by-step explanation:
The total homes are 85
Of the homes with finish basements it is 47
Then you find the difference: 85-47 =
The final answer is 38
Which number line plots the integers –12, –3, and 7? A number line going from negative 15 to positive 10. Points are at negative 12, negative 3, and 7. A number line going from negative 15 to positive 10. Points are at negative 8, negative 3, and 7. A number line going from negative 15 to positive 10. Points are at negative 12, negative 8, and negative 3. A number line going from negative 15 to positive 10. Points are at negative 12, negative 8, and 3. (ANSWER ASAP PLS)
Answers
A number line that plots the integers –12, –3, and 7 will be A. A number line going from negative 15 to positive 10. Points are at negative 12, negative 3, and 7.
What is a number line?It should be noted that a number line simply means the straight line that can be used to show the addition and subtraction of numbers.
It should be noted that the negative numbers are on the left hand side and the positive numbers are on the right hand side.
Therefore, this is conveyed effectively by option A.
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I need help question
Answers
In the lab, Charlie has twosolutions that contain alcohol and is mixing them with each other. Solution A is 20% alcohol and Solution B is 6%
alcohol. He uses 300 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 12% alcohol solution?
Answers
Charlie used 400 milliliters of Solution B if the resulting mixture is a 12% alcohol solution.
What does "algebraic equation" mean?An algebraic equation is a declaration of the equality of two expressions created by applying the algebraic operations to a set of variables.
What kind of algebraic equations are there?Monomial expressions, binomial expressions, and polynomial expressions are the three main categories of algebraic expressions.
Given : Solution A contains 20% alcohol, while Solution B contains 6% alcohol.
It is also given that Charlie uses 300 milliliters of Solution A.
Let's say that the mixture contained x ml of the 6% solution B.
x + 300 = resulting mixture of 12 % alcohol.
20% (300) + 6% (x) = 12% (x+300)
60 + 0.06x = 0.12x + 36
0.06x = 24
x = 400 milliliters
As a result, if the resulting mixture is a 12% alcohol solution, he used 400 milliliters of Solution B.
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A B Solve the equation. 6x - 8 = 2 (3x - 4) No Solution Infinite Solutions
Answers
After being simplified, it was discovered that the equation 6x - 8 =
2 (3x - 4) has infinite solutions.
What exactly is a straight line equation?A straight line has the equation y=mx+c, where m is the gradient and c is the height at which the line crosses the y -axis, also known as the y -intercept.
What is the difference between a no solution and an infinite solution?Equations with no solutions will not be equal when simplified.Equations with infinite solutions will simplify to the same constant on both sides.Given Equation : 6x - 8 = 2 (3x - 4)
Simplifying this equation as follows:
6x - 8 = 2 (3x - 4)
6x - 8 = 6x - 8
0 = 0
Same constant on both sides.
As a result, after simplifying the equation 6x - 8 = 2 (3x - 4), infinite solutions are possible for this equation.
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Which description best compares the graph given by the following equations:
Answers
Based on the equations given, the best comparison between them is that they are intersecting but not perpendicular.
How to know lines that are perpendicular?When lines are perpendicular to each other, one line will have a slope that is the negative reciprocal of the other. For instance, if the slope of one line is 2, the slope of the perpendicular line will be -1/2.
Parallel lines will have the exact same slope.
The slope of the first line is:
2x - 7y = -5
(2x - 7y = -5) x 1/7
2/7x - y = -5/7
Slope = 2/7
The slope of the second line is:
x - 3y = 4
(x - 3y = 4) x 1/3
1/3x - y = 4/3
Slope = 1/3
The slopes are neither negative reciprocals nor the same so the lines must be intersecting but not perpendicular.
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Algebra ll please help
Answers
The formula to obtain the future value (FV) is,
[tex]FV=PV(1+\frac{r}{n})^{nt}[/tex]Where,
[tex]\begin{gathered} FV=\text{Future Value=?} \\ PV=\text{Present Value = \$5000} \\ r=4.2\text{ \%=}\frac{\text{4.2}}{100}=0.042 \\ n=12 \\ t=n\text{umber of years }=5\text{years} \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} FV=5000(1+\frac{0.042}{12})^{12\times5}=5000(1+0.0035)^{60} \\ FV=5000(1.0035)^{60}=5000\times1.233225821=6166.129106 \\ FV=6166.129106\approx6166.13(nearest\text{ cent)} \\ \therefore FV=\text{ \$6166.13} \end{gathered}[/tex]ence, there will be $6`166.13 in the account after 5years.
Ryan received a box of jelly beans for his birthday. The jelly beans in the box have fivedifferent flavors. The table below shows how many jelly beans of each flavor are in the box.JELLY BEANSFlavorGrapelucoriceNumber1610CherryhomonThe jelly beans are all the same shape and size. Ryan does not like licorice or lime. What is theprobability that he will pick a jelly bean from the full box that has a flavor he does like? Showand exolain vour work
Answers
The probability of Ryan choosing a flavor that he does not like is 3/10.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.So, the formula for probability:
P = favourable events/Total eventsFavorable events: (Picking flavor that Ryan does not like) = 10 + 8Total events: (sum of all the jelly) = 60Now, insert the values in the probability formula as follows:
P = favourable events/Total eventsP = 18/60 ⇒ 9/30 ⇒ 3/10Therefore, the probability of Ryan choosing a flavor that he does not like is 3/10.
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Evaluate the expression and enter your answer in the box below.[(14 + 7) + 3) + 10 (6-3)
Answers
Given the expression below
[tex](14+7)+3)+10(6-3)[/tex]We can evaluate the expression by simplifying the parenthesis
[tex]\begin{gathered} (14+7)+3)+10(6-3) \\ =(21+3)+10(3) \\ =24+30 \\ =54 \end{gathered}[/tex]Answer: 54
Arrange in order from smallest to largest.
6.187, 27.132, 3.55, 9.312
Answers
Answer: 3.55, 6.187, 9.312, 27.132
Step-by-step explanation:
The easiest way I do this is by rounding all the numbers to the nearest hundredths, tenths, or whole numbers.
3.55 = 4
6.187 = 6
9.312 = 9
27.132 = 27