If a sequence of 8 consecutive odd integers with increasing values has 9 as its seventh term. What is the sum of the terms of the sequence?​

Answers

Answer 1

Answer:

[tex]Sum = 32[/tex]

Step-by-step explanation:

Given

Sequence = Consecutive Odds

[tex]T_7 = 9[/tex]

Required

The sum of the terms

A sequence of odd number has a difference of 2. So, the sequence is represented as:

[tex]S = \{-3,-1,1,3,5,7,9,11\}[/tex]

Add up all terms in the sequence

[tex]Sum = -3-1+1+3+5+7+9+11[/tex]

[tex]Sum = 32[/tex]


Related Questions

please help me rn i need it! same question on the 2 pictures!

Answers

Answer:

C. Gregory's graph is incorrect because it shows 2 inches of growth for each week, when it should show 0.75 inches of growth each week

Step-by-step explanation:

Given that the plant grows 1.5 inches (y) every 2 weeks (x), it means that:

Rate of change = y/x = 1.5/2 = 0.75 inches per week

The graph he should create should have a rate of change of 0.75. that is, it should show 0.75 inches growth for every week.

The graph shown above has a rate of change of 2 inches per week.

Thus, the graph is incorrect. It should be showing 0.75 inches of growth per week instead of 2 inches.

Which graph represents a linear function

Answers

Answer:

c on edge

Step-by-step explanation:

The scores of James in his math test are 75, 78, 89, and 71. What score on the next test will make James’ average at least 80 ?
x > 87
x > 87
x < 87
x < 87

Answers

Answer: x ≥ 87

Step-by-step explanation:

Set the minimum score on the next test as x & calculate it:

[tex]\frac{75+78+89+71+x}{5} =80\\\\75+78+89+71+x=80(5)\\\\313+x=400\\\\x=400-313=87[/tex]

So they need at least a score of 87 for the average to be 80+.

Answer:

x ≥ 87

Step-by-step explanation:

Can some help me with this question :)

Answers

Answer:

 3/7

Step-by-step explanation:

I think its only 3/7

Cause 9/18=1/2

3/5=0.6

2/10=1/5

and 8/24=1/3

Answer:

[tex] \frac{8}{24} [/tex]

[tex] \frac{2}{10} [/tex]

[tex] \frac{9}{18} [/tex]

Find the missing side. Round your answer to the nearest tenth. 19, 36

Answers

Answer:

x=110.6

Step-by-step explanation:

sin(19)=36/x. x=36/sin(19)=110.6

more geometry help :)

Answers

Answer:

Step-by-step explanation:

Multiply both the co-ordinates of each vertex by the scale factor and then simplify it.

A(-3 , 2)    A'(-3*8 , 2 * 8) = A' (-24 , 16)

B(2,1)         B'(2*8 , 1*8)  = B'(16,8)

C(-1,-3)       C'(-1*8,-3*8)= C'(-8,-24)

Answer:

see explanation

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply each ot the coordinates by the scale factor 8

A (- 3, 2 ) → A' (8(- 3), 8(2) ) → A' (- 24, 16 )

B (2, 1 ) → B' (8(2), 8(1) ) → B' (16, 8 )

C (- 1, - 3 ) → C; (8(- 1), 8(- 3) ) → C' (- 8, - 24 )

Is the following number rational or irrational?
0.7
Choose 1 answer:
Rational
Irrational

Answers

Correct answer:
Rational Number

(a) Tom says that 1/5 + 7/20 = 8/25
Explain why he is wrong and show how to work out the correct answer.
(b) Show that 3/4 divided by 1 7/8 = 2/5
9. (a) Jadar is buying fencing to fence one side of his garden. He measures the length as 23cm to the nearest metre.
What is the largest possible true length of the garden?
(b) One post measures 180 cm truncated to 2 significant figures (Truncated means that rather than rounding, any digits after 2 significant figures are simply ignored

Answers

numerator = top part of the fraction

denominator = bottom part of the fraction

* means multiply

a.

you can only add the numerator when the denominator is the same

cant add the denominator

denominator has to be the same

1/5 = 4/20

4/20 + 7/20 = 11/20

b.

1 7/8 = 15/8

3/4 ÷ 15/8 =

3/4 * 8/15 =

24/60 = divide both top and bottom by 12 =

2/5

Step-by-step explanation:

a)1/5+ 7/20

1.find the CM of both denominators

2.multiply both the denominator and the numerator using the CM

=(1/5)×20 +(7/20)

=20/100 +35/100

since you multiply

3.Now add both numerators ( don't add the denominators)

=the answer is 55/100

What is the length of leg s of the triangle below?
45
32
907
4
O A. 16
B. 32
OC. VA
D. 22
E. 4
F. 1.5
SOM

Answers

The question is not well formatted. A ell formatted version of the question type is attached and solved below :

Answer:

10

Step-by-step explanation:

Using trigonometry :

Taking the angle 45°

From trigonometry :

Sin θ = opposite / hypotenus

Opposite = s ; hypotenus = 10√2

Sin 45 = s / 10√2

Recall :

Sin 45 = 1/√2

We have ;

1/√2 = s / 10√2

s = 10√2 * 1/√2

s = 10√2 / √2

s = 10

What is the circumference of a circle with an area of 50.24

Answers

Answer: C=25.12

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} if \ \ equal \ \pi =3,14 \ \ then \\\\\pi r^2=3,14r^2\\\\3,14r^2=50,24 \\\\ r^2=16 \\\\ r=4 \Longrightarrow C= 2\pi r=2\cdot 3,14\cdot 4=25.12 \\\\\\ Answer : C=25.12[/tex]

Find the area of triangle ABC.

A. 35.92 units²
B. 43.79 units²
C. 21.39 units²
D. 22.91 units²

Answers

Answer:

[tex]\text{C. }21.39\:\mathrm{units^2}[/tex]

Step-by-step explanation:

The area of a triangle with sides [tex]a[/tex] and [tex]b[/tex] and angle [tex]\gamma[/tex] between them is given by [tex]A=\frac{1}{2}ab\sin \gamma[/tex].

Therefore, in the given triangle, we want to find two sides with the angle between them given. In this case, the angle between the two sides 7.39 and 9.75 is marked as [tex]36.43^{\circ}[/tex]. Assign values:

[tex]a\implies 7.39[/tex] [tex]b\implies 9.75[/tex] [tex]\gamma \implies 36.43^{\circ}[/tex]

Substituting these values into our area formula, we get:

[tex]A=\frac{1}{2}\cdot 7.39\cdot 9.75\cdot \sin (36.43)^{\circ},\\A=21.3938371858,\\A\approx \boxed{21.39\:\mathrm{units^2}}[/tex]

For the function f(x)=3X+5/x+5 find f^1(x)

Answers

Answer:

When you see f^-1(x), its asking for the inverse. In this case, you swap y with x and solve for y.

The inverse is 5 / x - 8

Sailor Sheftal
Special Right Triangles (Radical Answers)
Jul 21, 10:57:01 AM
?
The figure below is a square. Find the length of side 3 in simplest radical form with a
rational denominator.
9
.
Submit Ansurer
Answer: 2=
Pls help me

Answers

Answer: [tex]9\sqrt{2}[/tex]

Step-by-step explanation:

The sides of a square are all equal in length.

Use the Pythagorean Theorem:

[tex]9^{2} +9^{2} =x^{2}\\x=\sqrt{9^{2} +9^{2}} =\sqrt{2(9)^{2} } =9\sqrt{2}[/tex]

I need help with #36.

Answers

Answer:

1/81

Step-by-step explanation:

The skateboard Rita would like to buy costs $ 6 less than 3 times the amount she saved. The skateboard costs $ 69. How much money has Rita saved? Choose the steps that show how to solve this problem using arithmetic

Answers

Given:

The skateboard Rita would like to buy costs $ 6 less than 3 times the amount she saved.

The skateboard costs $69.

To find:

The saved amount.

Solution:

Let x be the saved amount.

The skateboard Rita would like to buy costs $ 6 less than 3 times the amount she saved. So, the cost of the skateboard is [tex]3x-6[/tex].

The skateboard costs $69.

[tex]3x-6=69[/tex]

[tex]3x=69+6[/tex]

[tex]3x=75[/tex]

Divide both sides by 3.

[tex]x=\dfrac{75}{3}[/tex]

[tex]x=25[/tex]

Therefore, Rita saved $25.

last one! 50 points!​

Answers

Answer:

sin theta = -2 sqrt(14)/15

Step-by-step explanation:

cos theta = adj / hyp

We can find the opp side by using the Pythagorean theorem

adj ^2 + opp ^2 = hyp^2

(-13)^2 + opp ^2 = 15^2

169 + opp ^2 = 225

opp ^2 = 225 -169

opp ^2 =56

Taking the square root of each side

sqrt( opp^2) = sqrt(56)

opp = sqrt(4 * 14)

opp = 2 sqrt(14)

Since we are in the third quadrant opp is negative

opp = -2 sqrt(14)

We know

sin theta = opp / hyp

sin theta = -2 sqrt(14)/15

SOLUTION :

Given that :

[tex] \frak {\cos( \theta_{1} ) = - \frac{13}{15} }[/tex]

To find :

[tex] \frak{ sin( \theta_{1} )}[/tex]

We know that cos θ is base/hypotentuse

So, here the base is -13 and the hypotentuse is 15

As we got the base and hypotentuse, perpendicular needs to be found out

Now, applying Pythagoras Theorem

According to Pythagoras theorem we know that :

(Hypotentuse)² = (Base)² + (Perpendicular)²

Let us assume perpendicular be x

Putting the values we get

(15)² = (-13)² + (x)²

225 = 169 + x²

By transposing we get

x² = 225 - 169

x = √56

x = 2√14

sin θ formula : Perpendicular/Hypotentuse

[tex] \star \: \: \underline{ \overline{ \boxed{ \frak{ sin (\theta_{1})} = \frac{-2 \sqrt{14} }{15} }}}[/tex]

Hence, the answer is -2√14/15

pls help i need to finish this !!

Answers

Answer:

a

Step-by-step explanation:

it's non-linear

Step-by-step explanation:

the functions linear because as x increases by 4, y is increasing by 12 at a constant rate

indio, california is located at an elevation that is below sea level. which is a possible elevation for indio, california?pls help besties!!

Answers

Answer:

Let me look some things up.

Step-by-step explanation:

Then I will get back to you

a football pitch is 90 m long and 40 m wide what is the area of the pitch if the cost of the pictures $30 per square metre what is the cost of installing the pitch​

Answers

Answer:

90 * 40 = 3600 * $30 = $108,000

Step-by-step explanation:

I need help I don't understand this.

Answers

Answer:

gmvlɛpuyhgn

gteeyolpp

jwjvy

Match the place value of each digit in 25.678.
Value: 5
:
Match the items.
a. Ones
b. Thousandths
C. Tens
d. Tenths
e. Hundredths

Answers

Match the place value of each digit in 25.678.

Match the place value of each digit in 25.678.Value: 5

5.000= ones......

Answer:

Ones

Step-by-step explanation:

In order the numbers are:

Tens

Ones

Tenths

Hundredths

Thousandths

A health food company makes its 'Superfood Blend' from whey protein, which costs $10.25 per pound, and powdered spirulina, which costs $22.45 per pound. The blend ends up costing $16.35 per pound. If the company has 140 pounds of the whey protein on hand, how many pounds of the spirulina does it need to get in order to make the blend?

Answers

It needs [tex]140\ \text {pounds}[/tex] of the spirulina to get in order to make the blend.

Used the concept of a system of linear equations that states,

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system.

Example; ax + by = 0

Given that,

The cost of protein per pound = [tex]\$10.25[/tex]

The cost of powdered spirulina per pound = [tex]\$22.45[/tex]

And, the blend ends up costing [tex]\$16.35[/tex] per pound.

Let us assume that,

There are x pounds of protein and y pounds of spirulina in the mixture.

Hence, by given conditions the equation is,

[tex]10.25x + 22.45y = 16.35 (x + y)[/tex]

[tex]10.25x + 22.45y = 16.35x +16.35 y[/tex]

Combine like terms,

[tex]22.45y - 16.35 y= 16.35x - 10.25x[/tex]

[tex]6.1 y = 6.1x[/tex]

[tex]y = x[/tex]

Since the company has 140 pounds of whey protein on hand.

So, the amount of spirulina it needs to get in order to make the blend is,

[tex]y = 140\ \text {pounds}[/tex]

Learn more about systems of equations at:

brainly.com/question/14323743

#SPJ12

what is the difference between a theorem and an axion ?​

Answers

Answer:

An axiom is often a statement assumed to be true for the sake of expressing a logical sequence. ... These statements, which are derived from axioms, are called theorems. A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives.

hope it helps

PLEASE MARK BRAINLIEST

Answer:

A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives. ... An axiom is a statement that is assumed to be true without any proof, while a theory is subject to be proven before it is considered to be true or false.

[/tex][tex]\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1{cm}^{2}}[/tex][/tex]

[tex]\\[/tex]

[tex]\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1}{cm}^{2}}[/tex]

[tex]\:[/tex]

[tex]\sf{\red{\dfrac{\tan\theta}{\sec\theta - 1}=\dfrac{\tan\theta + \sec\theta + 1}{\tan\theta + \sec\theta - 1}\:cm^{2}}}[/tex]

What equation is represented by the equation on the graph?
X
OA. y = x - 2
OB. y=-X-2
OC. y=-3x+2
OD. y=-X+2
Reset Meet

Answers

Answer:

y= -x +2

Step-by-step explanation:

This is a negative slope of one because the line is going down and has a ride over run of 1/1. Then the y intercept is +2 because this line intercepts the y axis at positive 2.

hope it helps!

Answer:

y = -x +2

Step-by-step explanation:

just trust me on this

a) (x3 – 7x + 3 – x2) : (x – 3);

b) (2x4 – 3x3 – 3x2 – 2 + 6x) : (x2 – 2)

Answers

Answer:

Step-by-step explanation:

X^2+2x-1

2X^2-3x+1

PLEASE HELP ASAP ON THESE TWO QUESTIONS BLESS YOUR HEART IF YOU HELP ME 9) Look for two points and find the sloope.
10) Plot the given points and find the slope.

Answers

Answer:

the two points are (-3,-3

Step-by-step explanation:

You must first check if the line is a straight line two the you check the intersection of the two points and the write it

 PLEASE HURRY I WILL GIVE BRAINLIEST AND 5 STAR AND HEART! THANK YOU!

Answers

Answer:

I believe it is 55°.

I can't remember the exact steps for this tho.

I hope it is right! good luck!

HURRYYYYYYYYYYYYYY PLZZZZ

Answers

Answer:

G

Step-by-step explanation:

you know its G just by the way it is

In a cinema hall a total of 215 tickets were sold. Some were sold at $8 and others at $12. If the total amount collected was 2180, how many $8 tickets were sold​

Answers

Answer: 100 tickets.

Step-by-step explanation:

Number of $8 tickets sold = xNumber of $12 tickets sold = y

Set up two equations: one representing total amount sold and another representing total dollars earned.

[tex]\left \{ {{x+y=215} \atop {8x+12y=2180}} \right.[/tex]

Rearrange x + y = 215 and find the value of x:

[tex]x+y=215\\x=215-y[/tex]

Substitute it into the other equation and solve for y:

[tex]8x+12y=2180\\8(215-y)+12y=2180\\1720-8y+12y=2180\\4y=2180-1720\\4y=460\\y=\frac{460}{4} =115[/tex]

Substitute in the y-value to the other expression to find x:

[tex]x+y=215\\x+115=215\\x=215-115=100[/tex]

Therefore, they sold 100 of the $8 tickets.

how do you solve this

Answers

Answer:

√2

Step-by-step explanation:

tan(x) = -1

x = arctan(-1)

x = -π/4

Now since x is between 3π/2 and 2π use use the general form

nπ-π/4

taking n = 2

2×π-π/4

= 7π/4

now tan (7π/4) = -1

so sec (7π/4) = √2

Answered by GAUTHMATH

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