The sum of numbers or expression involves adding the expressions and the numbers together.
Assume that the sum of the degrees is given as:
[tex]Sum = 3 + 4 - 2 + 1[/tex]
The above sum can be rewritten as:
[tex]Sum = 3 + 4 +(- 2) + 1[/tex]
Take the sum of all the numbers (including -2 in bracket)
[tex]Sum = 6[/tex]
If the sum of the degrees is given as [tex]Sum = 3 + 4 - 2 + 1[/tex], then the number of years he worked would be 6
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5. What linear function defines the following Arithmetic Sequence?
-4, -1, 2, 5, 8,...
an = 4 - 3(n-1)
an = -4 -3(n-1)
an = 4 + 3(n - 1)
an = -4 + 3(n - 1)
Answer
A
Step-by-step explanation:
The linear function defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
What is an arithmetic progression?
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given series is -4, -1, 2, 5, 8. The common difference of the series is calculated as,
d = -1 - ( -4 )
d = -1 + 4
d = 3
The equation will be written as,
an = a₁ + d(n - 1)
an = -4 + 3(n - 1)
Therefore, the linear function that defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
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You are trying to show that two triangles are similar. Which of the following statements can help you establish similarity?
A) The sum of the side lengths of every triangle is always the same.
B) Dilating a triangle does not change the measurements of the triangle's angles.
C) Applying a rigid transformation to a triangle changes the triangle's angle measures.
D) Triangles with at least one set of congruent angles must be similar.
The answer is B) Dilating a triangle does not change the measurements of the triangle's angles.
Tina needs 36 flowers for her next project. The flowers are sold in bunches
of 5.How many bunches will she need?
Any polygon with two pairs of parallel opposite sides is a parallelogram
Answer:
It is false that any polygon with two pairs of parallel opposite sides is a parallelogram. Let's understand the answer in detail. Explanation: ... There can be other polygons that have more than 4 sides but have only two pairs of parallel sides, which can't be called a parallelogram.
Step-by-step explanation:false.
A Hospital telephone operator has observed that calls arrive at a rate of 300 calls per hour. What is the probability that there are exactly 5 calls in 10 minutes?
Answer:
It can be done using poisson distribution.
λ = 30 calls/hr = 1.5 calls/3min
Now P(X=x)=e−λ.λxx!
So P(X=0)=e−1.5
Step-by-step explanation:
Help? If im given the option ill give you brainliest!
Answer:
Look at photo for answer, I have not done a piecewise function for a long time... so double check my work.
Step-by-step explanation:
Admission to the gymnastics meet was $2.40 for adults and $1.25 for students. If 540
tickets were sold for a total of $934.90, how many tickets of each were sold? (i’ll give brainliest just answer within the next 15 mins pls!!)
Answer:
hi friends I need help with the following me
Help help math math
Answer:
C=31.41592654
Step-by-step explanation:
C=2πr
r=5
C=2π(5)
Therefore C= 10π or C=31.41592654
Answer:
C = 31.4
Step-by-step explanation:
make x the subject of the following formula:
ax - ay = cx + by
please help
x = by + ay / a - c
Step-by-step explanation:
Given that
ax - ay = cx + by
Collect like terms
ax - cx = by + ay
Factorize both sides
ax - cx = by + ay
x(a - c) = by + ay
Divide both sides by (a - c)
x(a - c) = by + ay
x = by + ay / a - c
Making x the subject of the formula would be
x = by + ay / a - c
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(PLS HELP <3)
The proportional relationship between the number of songs Stella downloads,
s, and the total cost in dollars and cents, c, can be represented by the equation
c=1.17s. How much does it cost to download a single song?
Answer:
1.17 dollars!
Step-by-step explanation:
We are given the equation c=1.17s
To break it down, it means that the cost in dollars=1.17 times amount of songs.
Lets plug in 1 for s.
1.17*1=1.17!
For one song, it will cost 1.17 dollars !
the 200$ camera was on sale 15% off what was the price
Answer:
$170
Step-by-step explanation:
Marcus dropped a ball from a height of 400 cm. The sequence below shows the height of the ball, in cm, during its first four bounces.
240, 144, 86.4, 51.84,
Which formula could be used to determine the height of the ball after n bounces?
A. h(n) = 400(0.60)^n
B. h(n) = 400(0.60)^(n-1)
C. h(n)= 240(0.60)^n
D. h(n) - 240(0.60)^(n-1)
(nvm, I figured it out. sorry lol)
Answer: The answer is C.
137x723+462x50=?
do yall think its ok for your girl to k.i.s.s. other people?
and would yall let it slide and think it was a joke?
What is 3 divided by 7 pretty confused since I was on break for a long time
Answer:
3 divide 7 is 0.4285714285714286 but 7 divide 3 is 2.33 (Never ending)
Answer:
It’s a decimal, (0.42857142857)
Step-by-step explanation:
The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.
Answer:
even
Step-by-step explanation:
A zookeeper is monitoring the population of gazelles. The herd needs to have exactly three times more males than females to thrive. The zoo only has room for a maximum of 12 female gazelles. Let x represent the number of female gazelles and y represent the number of male gazelles. Write the constraints that represent the possible number of male and female gazelles that can live in a thriving population at the zoo. X > 0 and y > 0 0 < x ≤ 12 and 0 < y ≤ 36 0 < x ≤ 12 and y > 36 x > 0 and y < 23.
Option C is correct.
Given to us:
female gazelles[tex](x)[/tex] can be maximum of 12 only. therefore,
Condition 1 is [tex]12\geq x>0[/tex].
while,
male gazelles[tex](y)[/tex] should be exactly 3 times more than females to thrive. therefore,
Condition 2 is [tex]36\geq y>0[/tex].
There is only one option among all the options available which is satisfying both the conditions. therefore, option C is the correct option.
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Answer:
c is the answer
Step-by-step explanation:
it took the test and got it correct
31. What are the perimeter and area
of AXYZ?
Х
5
W
Y
m
12
12
9
greater than
and less than
Z
=
A P= 28; A = 540
B P=42; A = 84
© P= 50; A = 216
DP= 54; A = 57
Answer:
tbh idek bc the pen pen duck duck duck goose I don't know I'm doing this for the beginning part
A real estate agent sold a lot for P550,000.00. If his agency pays 10% commission, how much commission will he/she receive?
Answer:
P55,000
Step-by-step explanation:
The amount of commission is found by multiplying the commission rate by the value of the sale(s).
commission = rate × sales
commission = 0.10 × p550,000 = P55,000
The agent will receive P55,000 in commission.
_____
Check
The amount of commission cannot be more than the value of the sale. It is generally a small fraction of the sale value. Here, it is 1/10.
Find the perimeter of the shape below:
Answer:
8m
Step-by-step explanation:
Two-Variable Statistics:Question 2
You obtain a correlation value of r = -0.744 when you
analyze the relationship between the time it takes
someone to swim a mile and her heart rate at the end of
the swim. Choose the word completes this interpretation
of the correlation value: The correlation between the time
it takes to swim and heart rate is ___ and ___
WILL GIVE BRAINLIEST
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
[tex]m[/tex] - slope
[tex]b[/tex] - y-intercept
[tex]11)\ m=-1,\ b=2\\\\y=-x+2\\\\12)\ m=-\dfrac{3}{2},\ b=3\\\\y=-\dfrac{3}{2}x+3\\\\13)\ m=3,\ y=-2\\\\y=3x-2\\\\14)\ y=\dfrac{3}{4},\ b=1\\\\y=\dfrac{3}{4}x+1\\\\15)\ m=\dfrac{1}{2},\ b=1\\\\y=\dfrac{1}{2}x+1\\\\16)\ m=-\dfrac{2}{5},\ b=0\\\\y=-\dfrac{2}{5}x\\\\17)\ m=-7,\ b=2\\\\y=-7x+2\\\\18)\ m=\dfrac{4}{3},\ b=-4\\\\y=\dfrac{4}{3}x-4[/tex]
19) and 20) you have in other your question.
The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is 3.5 feet long. What is the height of the bird house?
Answer:
20 ft
Step-by-step explanation:
The shadow of the bird house is 14/3.5 = 4 times the length of your friend's shadow. Consequently, we expect the height of the bird house to be 4 times the height of your friend:
4(5 ft) = 20 ft
The height of the bird house is 20 ft.
Step-by-step explanation:
that creates 2 similar triangles.
that means all angles are the same, and all side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.
so,
3.5 × f = 14
f = 14/3.5 = 4
and now the range factor applies in the relation between the heights :
5 × 4 = 20 ft
the bird house is 20 ft high.
How can you identify a linear function?
Answer:
Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.
Step-by-step explanation:
PLEASE HELP ME 100 POINTS (make full screen)
Answer:
See belowStep-by-step explanation:
Part 1Corresponding angles and sides of ΔMNP and ΔUVW are congruent:
∠M ≅ ∠U MP ≅ UW∠P ≅ ∠W PN ≅ WV∠N ≅ ∠V MN ≅ UVPart 2The triangles are congruent by SAS. One side and angle marked as congruent and another side is congruent as common to both.
Corresponding sides are congruent:
3x - 5 = 2x + 13x - 2x = 1 + 5x = 6Part 3Given ∠C ≅ ∠D
In order to prove the congruence of ΔAED and ΔBEC by ASA we need another angle and the included side to be congruent.
We can observe ∠AED ≅ ∠BEC as vertical angles.
Additional information we need is:
DE ≅ CEPart 4Triangles ABC and ADC are congruent by SAS:
AB ≅ AD∠DAC ≅ ∠BACAC ≅ ACTherefore corresponding sides BC and CD are also congruent
Perimeter of ABCD is:
P = AB + BC + CD + ADP = 12.1 + 7.8 + 7.8 + 12.1 = 39.8 cmAnswer:
Free to use your own personal information ℹ to help you find the best deal for the your business in the word of the day you free to do it and you can get a ghost 500k for your invitation or your personal life to make a name for your family and your family Merry Christmas and Happy New Year to you and your family Merry are you the
one kilogram of cheese costs £9.48
chris buys 650 g of this cheese
work out how much chris pays
Answer: $6.16
Step-by-step explanation:
100g = $0.948
50g = $0.475
$0.948*6 = $5.688
$5.688 + $0.475 = $6.163
Rounded = $6.16
ALGEBRA Find x and y so that each quadrilateral is a parallelogram.
(Please do at least 2, but doing all 4 would be greatly appreciated, and i will mark u brainliest.)
can someone please help?!
Answer:
Plot the points (0,0) and (1,3) to make the line.
Step-by-step explanation:
We know that a linear equation is y=mx+b, m is the slope and b is the y-intercept. We can see that the slope is m=3, and there is no b meaning b=0. Since the y-intercept is 0 we can start from the origin (0,0). The slope is 3/1 or known as rise/run. You go up 3 and go right 1, making the second point (1,3). This should work.
Write the slope-intercept form of the equation
of the line through the given point with the
given slope.
17) through: (-5, -3), slope
5
A) y = x - 2
B) y=1/5x - 2
C) y = -x - 2
D) y=-3x - 2
Answer:
y=5x+22
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=5(x-(-5))
y+3=5(x+5)
y=5x+25-3
y=5x+22
27/70 in simplest form
Answer:
27/70
Step-by-step explanation:
27/70 is the simplest form anyway
but it's 0.385 if we calculate
NEED ANSWER VERY BAD BAD