in the sequence we can see that we arrive at the next term by simply adding 30 to the current one, thus
[tex]\stackrel{\textit{Explicit, only requiring argument susbtitution}}{f(n)~~ = ~~n + 30}~\hfill \stackrel{\textit{Recursive, requiring ordinal position}}{f(a)~~ = ~~ a_{n-1}+30}[/tex]
if(4x + 20) , (3x+10)^ and (2x+30)^ are angles of a triangle then the value
A) 13°
B) 13 1 3 ^
C) 13 2 3 ^
D) 14°
Using angle sum property
[tex]\\ \sf\longmapsto 4x+20+3x+10+2x+30=180[/tex]
[tex]\\ \sf\longmapsto 9x+60=180[/tex]
[tex]\\ \sf\longmapsto 9x=120[/tex]
[tex]\\ \sf\longmapsto x=13.2[/tex]
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Nick wants to purchase a pair of binoculars that is on sale for $155.75. The sales tax rate in his county is 6.5%.
Calculate the amount of sales tax Nick will pay on the purchase. Round to the nearest cent if necessary.
sales tax: $
Part B
Fill in the blank question.
How much will Nick pay in all for the pair of binoculars after sales tax is included? Round to the nearest cent if necessary.
total cost: $
Answer:
Step-by-step explanation:
A) $155.75(0.065) = 10.12375 = $10.12
B) $155.75 + $10.12 = $165.87
please help me with this
Answer:
∠5 is supplementary.
It forms a straight angle with ∠1.
,5³-(2 la puterea 35 x 3 la puterea 36 x cinci la puterea 14)x(2 x 3 la puterea 4x 5 la puterea 19).2 la puterea 4 (d din poza)
Answer: 5³- (2 at power 35 x 3 at power 36 x five at power 14) x (2 x 3 at power 4x 5 at power 19) .2 at power 4 (d in the picture)
Step-by-step explanation:
-
The sum of 2 and x is at least - 19.
2 + x = -19 <=> x = -19 -2 = -21
Gabby read 98 pages of a book then stopped. She later decided to continue the book and read 37 more pages every day.
Let d represent the number of days since Gabby decided to continue the book and p represent the total number of pages of the book she had read.
Answer:
number of days = 3
total number of pages=135
Step-by-step explanation:
98÷49= 2
37=1 day
total number of days=3days
Total number of pages read=135 pages
Please take a look at the picture.
Answer:
I think it is total cost
I make $20 an hour but I love 30% to taxes. How much do I take home each hour after taxes?
Answer:
$14
Step-by-step explanation:
We can make an equation
30%. . . . . .X
--------- = ---------
100. . . . . . .20
Now we cross multiply
100x = 600
x = 6
Now we subtract to find how much we will take home.
20 - 6 = $14 every hour will be made
Use the diagram below. What is the value of z?
(Picture included) it would mean sm if anyone could help
[tex]z = 29°[/tex]
Step-by-step explanation:
According to the triangle angle sum theorem, the sum of the interior angles of a triangle is 180°. So for [tex]\triangle{ABD},[/tex] the sum of its interior angles is
[tex]43 + 59 + x = 180[/tex]
[tex]\Rightarrow x = 78°[/tex]
But [tex]\angle{x}[/tex] is supplementary with [tex]\angle{y}[/tex] so that
[tex]x + y = 180 \Rightarrow y = 180 - 78 = 102°[/tex]
Now that we know the value of y, we apply the triangle angle sum theorem to [tex]\triangle{BDC}[/tex] and we get
[tex]49 + y + z = 180 \Rightarrow 49 + 102 + z = 180[/tex]
Solving for z, we finally get
[tex]z = 29°[/tex]
Which of the following expenses would be considered a “need” instead of a “want”?
Answer:
There are no options but what they are trying to say is which is more a need then a want. so a need is something like i broke my foot i "NEED" a docter fast. Want is like I just ate dinner and I "WANT" dessert. You can survive without that dessert.
Step-by-step explanation:
Find the slope of each line. PLS HELP TYSMMMM!
Answer:
Step-by-step explanation:
1. (-4, -2) (4, 0)
(0 + 2)/(4 + 4)= 2/8= 1/4
2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2
3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2
4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2
What is the cardinal number of the set S={all letters contained within the word BALLADEER}?
Answer:
6
Step-by-step explanation:
sets cannot have repeated elements. So this set only has the letters B, A, L, D, E, R which means the cardinality is 6
Consider two congruent square prisms each rectangular face of prism A has a width of 2x+3 and each rectangular face of prism B had a length of 4x+6 if each rectangular face of prism A has and area of 25x+25 what is the volume of prism B (round to the nearest whole number)
Answer:
Step-by-step explanation:
prism A side area is square of side length
(2x + 3)² = 25x + 25
4x² + 12x + 9 = 25x + 25
4x² - 13x - 16 = 0
x = (13 ±√(13² - 4(4)(-16))) / (2(4))
positive answer is
x = (13 +√425)/8 which is approximately 4.20194...
so side length of B is
4((13 +√425)/8) + 6 which is approximately 22.80776...
Volume is side length cubed
V = (4((13 +√425)/8) + 6)³ which is approximately 11,864.4643...
V = 11,864 units³
Two more than the quotient of a number and 4 equals 6
Answer:
2 + (n/4) = 6
Step-by-step explanation:
Answer:
2+(n÷4)= 6
Step-by-step explanation:
hope it helps u
plzz plzzzz plzzzz mark as brainliest
Regina ate 25 grapes and 15 cashews. Simplify the ratio of grapes to cashews that she ate.
Answer:
The ratio would be 5 to 3
Step-by-step explanation:
I know this because you would divide the amount of grapes and the amount of cashews by 3 which would equal 5 to 3
The ratio of grapes to cashews that she ate is 5:3.
What is ratio?A ratio is the comparison of two quantities and that can be the comparisons of parts to parts, parts to wholes, and wholes to parts are all examples of ratios.
Given that, Regina ate 25 grapes and 15 cashews.
We need to simplify the ratio of grapes to cashews that she ate.
The ratio = 25/15
= 5/3
Hence the ratio of grapes to cashews that she ate is 5:3.
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If a university accepts 40% of those students who apply for entrance, and 75% of admitted applicants accept, what percentage of total applicants actually accepts offers of admission?
Answer:
30%
Step-by-step explanation:
75% of 40 is 30
The percentage of total applicants that accepts offers of admission is = 30%
Calculation of percentage of total applicantsThe percentage of acceptance for students that apply for entrance is = 40%
The percentage of admitted applicants that accept the offer= 75%
This means that it is only 75% of 40% of the accepted students actually accept the offer of admission.
That is, 75/100 × 40%
= 3000/100
= 30%
Therefore, the percentage of total applicants that accepts offers of admission is = 30%
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What is the mean absolute deviation of 6, 8, 2, 2?
Answer:
18/4 Is it correct?
Step-by-step explanation:
4.25
10% markdown of $543.20
Answer:
5.Math is a very different one that
Ok
explain how to use a graph of the function f(x) to find f(3)
Answer:
See below
Step-by-step explanation:
What f(3) means is the value of f(x), or "y", when x=3. So, you would go 3 to the right on the x-axis, and then you would go up or down the y-axis until you touch the graph of the function. That will be where f(3) is.
Given a graph of the function f(x), find 3 on the X axis and then look directly up or down from there to find the Y coordinate of the function at that value of X.
f(3) is equal to Y at x=3.
5 div by 4=25 div by y
[tex]\dfrac 54 = \dfrac{25} y\\\\\\\implies \dfrac 14 = \dfrac 5y\\\\\implies y = 4 \times 5 =20[/tex]
Quotient of 0 and 15
Answer:
15Step-by-step explanation:
cause the first number is zero so the answer is 15 #happy learningCalculate the residual based on the know information: Actual = 8.1 yds Predicted = 9.1 yds
Answer:
okkkkkkkkkkkkkkkkkkkk
If P(t) is the size of a population at time t, which of the following differential equations describes linear growth in the size of the population?
dPdt=200
Answer A: d cap p over d t is equal to 200
A
dPdt=200t
Answer B: d cap p over d t is equal to 200 t
B
dPdt=100t2
Answer C: d cap p over d t is equal to 100 t squared
C
dPdt=200P
Answer D: d cap p over d t is equal to 200 cap p
D
dPdt=100P2
Answer:
A. dP/dt = 200
The degree of the variable must be one for linear growth. Then the correct option is B.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
If P(t) is the size of a population at time t.
The differential equations have a linear growth in the size of the population. That means the degree of the variable must be one. And the equation of the population will be quadratic. That is given as
[tex]\rm \dfrac{dP}{dt} = 200t[/tex]
In this equation, the degree of the time (t) is one.
Thus, the correct option is B.
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What is the main difference between multiplying decimals and whole numbers? If one factor has 2 decimal places and another factor has 1 decimal place, how many decimal places will the product of these two factors have?
the product of these two factors have?
Answer:
Both type of numbers have a decimal point but the decimal numbers can contain digits other than 0 so you have to worry for these numbers when you're multiplying and the placement of the decimal point in the answer.A way think about it is sum the total numbers after the decimal point, this work because the numbers can be represented as fractions (explanation below) so If one factor has 2 decimal places and another factor has 1 decimal place the answer have 3 decimal places.Step-by-step explanation:
A whole can be represented as 2.000 and so on, while a decimal number is represented as 3.14 when the numbers after the decimal point can be different of 0.
So when you multiply two decimal numbers check the total number of number after the decimal point and sum these amounts.
Example:
Suppose the next two numbers 12.88 and 3.1 both have different amounts of number after the decimal point, but with the simplification we can see that the final answer contain 3 decimal places.
But, why this work? Well remember that a decimal can be represented as a fraction of this way
[tex]\frac{1288}{100} \quad \text{and} \quad \frac{31}{10}[/tex]
So if you does the product of these fractions you get the next value:
[tex]\frac{39928}{1000} = 39.928[/tex]
Where the total number of numbers after the decimal point is equal to the power of 10 in the denominator that's mean equal to 3. However this method take more time, so is more simply say that the total of numbers after the decimal point is the sum of the total of numbers after the decimal point of each decimal number.
Factor the polynomial expression x4 + x2 - 20 drag each expressions to the correct location on the factored solution
Answer:
Step-by-step explanation:
x⁴ + x² - 20
(x² + 5)(x² - 4)
(x² + 5)(x - 2)(x + 2)
The required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).
Given that,
To determine the factor of the expression, x⁴ + x² - 20.
A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
Given expression,
= x⁴ + x² - 20
= x⁴ + 5x² - 4x² - 20
= x²[x² + 5] - 4 [x² + 5]
= [x² + 5][x²- 4]
Since (a² - b²) = (a + b)(a - b)
= (x² + 5)(x - 2)(x + 2)
Thus, the required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).
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1) Ella is making crepes for brunch guests. The number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served. Which statements are correct for this situation?
Answer:
b,d,c
Step-by-step explanation:
y = 1 4 x calculates the number of eggs, y, for x crepes. The constant of proportionality is 1 4 . Ella needs 15 eggs to make 60 crepes. y = kx, where k is the constant of proportionality → y = 5 eggs 20 crepes x → y = 1 4 x; thus, k = 1 4 y = 1 4 (60) = 15 eggs
For 60 creps, 15 eggs will be needed.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that the number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served
Now, for 20 creps, 5 eggs are needed.
Then for 1 crep, (5/20) eggs are needed.
For 60 creps, (5/20) x 60 = 15 eggs will be needed.
Therefore, For 60 creps, 15 eggs will be needed.
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Write each number as a logarithm with base 3.
The answers has to be in this form: log .....
3
A) 0
B) -2
C) 4
Please answer. Correct answer gets BRAINLIEST ! Please don't ignore this.
50 points! Help (Vectors)
Answer:
[tex]<8,10>[/tex]
Step-by-step explanation:
Answer:
Blue (8,10)
Step-by-step explanation:
2(4)=8
2(5)=10
calculate the length AB
Check the picture below.
What is the expression 3/8d+3/4 factored using the GCF
Answer:
[tex]\frac{3}{8}[/tex] ( d + 2)
Step-by-step explanation:
[tex]\frac{3}{8}[/tex] d + [tex]\frac{3}{4}[/tex]
= [tex]\frac{3}{8}[/tex] d + [tex]\frac{6}{8}[/tex] ← factor out [tex]\frac{3}{8}[/tex] from each term
= [tex]\frac{3}{8}[/tex] (d + 2) ← in factored form