Choose the correct answer from the given four options: In an AP, if d = –4, n = 7, an = 4, then a is *

6

20

7

28​

Answers

Answer 1

[tex]a = 28.[/tex]

Step-by-step explanation:

[tex] {a}n = a + (n - 1)d[/tex]

[tex]4 = a + (7 - 1)( - 4)[/tex]

[tex]4 = a + 6( - 4)[/tex]

[tex]4 = a + ( - 24)[/tex]

[tex]4 = a - 24[/tex]

[tex]4 + 24 = a[/tex]

[tex]28 = a[/tex]

(OR)

[tex]a = 28.[/tex]


Related Questions

Find the slope between the points (-3,1) and (-17,2)
(show your work pls) serious answers only

Answers

Answer:

-1/14

Step-by-step explanation:

The given points are

(-3,1) (-17,2)

The slope will be the difference of ordinate divided by difference of absicca .

> m = 2-1/-17+3

> m =1/-14

> m = -1/14

Can someone help me with this math homework please!

Answers

Here, t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t.

So, we need to substitute 10 into 210 -15t in place of t.

On simplifying 210 -15(10), we get that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]h(10) \text{- the altitude of the hot air balloon after 10 minutes.}\\\\\boxed{h(10)=60}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

As described in the question, the function [tex]h(t)[/tex] models the total altitude of a hot air balloon over time. 't' represents the number of minutes that would be given.[tex]h(10)[/tex] would be the total altitude over 10 minutes time. To solve for the value, we would replace 't' with 10 and then evaluate.

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating the function...}}\\\\h(t) = 210 - 15t; \text{ } h(10)\\-------------\\\rightarrow h(10) = 210 - 15(10)\\\\\rightarrow h(10)=210 - 150\\\\\rightarrow \boxed{h(10) = 60}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Solve for x: 6sin^2x+2sin^2x=1 fir - 90<x<90​

Answers

Answer:

Here we have the equation:

6*sin²(x) + 2*sin²(x) = 1

and we want to find a solution in the range:

-90° < x < 90°

First, we can take the sin²(x) as a common factor to get:

6*sin²(x) + 2*sin²(x) = (6 + 2)*sin²(x) = 1

8*sin²(x) = 1

now we can divide both sides by 8

sin²(x) = 1/8

now we can apply the square root to both sides:

√(sin²(x) = √(1/8)

sin(x) = √(1/8)

Now remember the inverse sine function, Asin(x)

such that:

Asin( sin(x) ) = sin( Asin(x) ) = x

If we apply that to both sides, we get:

Asin( sin(x) )  = Asin(√(1/8))

x = Asin(√(1/8)) = 20.7°

x = 20.7°

The combined mass of two children is 75lbs. The first child is four times the mass of the second child. What are the masses of the two children?

Answers

The second child is about 19lbsif you want to round it otherwise it's 18 something lbs, so the first child is about... 57.
first child would be 60 lb and the second is 15

Whats the mean, modian, mode, and range, of these five?
6) 35, 74, 76, 93, 84, 22

Mean=

Median=

Mode=

Range=

7) 72, 55, 11, 55, 42, 25, 79, 69

Mean=

Median=

Mode=

Range=

8) 93, 15, 11, 58, 94, 87, 73, 16, 21

Mean=

Median=

Mode=

Range=

9) 17, 45, 12, 74, 89, 57

Mean=

Median=

Mode=

Range=

10) 52, 35, 55, 23, 30

Mean=

Median=

Mode=

Range=

Answers

Answer:

Step-by-step explanation:

mean:64

median: (74+76)/2=75

mode: no mode

Range: 71

#2

mean:51

median:(55+55)/2=55

mode:55

Range; 68

Answer:

6)

Mean = 35+ 74+ 76+ 93+ 84+ 22 = 384

mean = total amount/total numbers

384/6 = 64

Median = 76 + 93/2 = 169/2 = 84.5

Mode = there is no mode (there are no numbers repeated)

Range = (biggest - smallest) = 93 - 22 = 71.

7)

Mean = total amount/total numbers

72+ 55 +11+ 55 + 42 + 25 + 79 + 69 = 408/8 = 51

Median = 55 + 42/2 = 97/2 = 48.5

Mode = 55

Range = 79 - 25 = 54

8) Mean = 93 + 15 + 11+ 58+ 94+ 87 + 73+ 16+ 21 = 468/9 = 52

Median = 94

Mode = nothing

Range = 93 - 11 = 82

9)

Mean = 17+45+ 12+ 74+ 89 + 57 = 294/6 = 49

Median = 12 + 74/2 = 43

Mode = nothing

Range = 89 - 12 = 77

10)

Mean = 52+ 35+ 55+ 23+ 30 = 195/5 = 39

Median = 55

Mode = nothing

Range = 55 - 23 = 32

Step-by-step explanation:

I rlly hope this helped i took soooo long(sry for that btw)

Directions: Graph each equation by using the y-intercept and slope( make sure too show your work)
FIRST QUESTION: y= -2/3x-1
y-intercept=____
Slope:____

Answers

Given:

The equation of a linear function is:

[tex]y=-\dfrac{2}{3}x-1[/tex]

To find:

The y-intercept and slope of the given equation, then draw the graph of the equation.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept

We have,

[tex]y=-\dfrac{2}{3}x-1[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{2}{3}[/tex]

[tex]b=-1[/tex]

Therefore, the y-intercept is -1 and the slope of the line is [tex]-\dfrac{2}{3}[/tex].

It means the graph intersect the y-axis at point (0,-1) and having slope [tex]-\dfrac{2}{3}[/tex]. So, the graph of the equation is shown below.

which equation is represented by the table

Answers

Answer:

B. b=3a+2

Step-by-step explanation:

I just substituted all of the a values in and I got the b values.

Answer:

Your answer is B, b = 3a+2

Step-by-step explanation:

for example:

3(2) + 2 = 8

Insert a number from column a into the variable and it will come out as the number in column b if it's the correct equation.

∠1 and ∠2 are supplementary angles. m∠1 = x − 39, and m∠2 = x + 61. Find the measure of each angle.
∠1 = 79, ∠2 = 101
∠1 = 40, ∠2 = 150
∠1 = 40, ∠2 = 140
∠1 = 79, ∠2 = 111

Answers

the third choice is correct.
X-39 + x+61 = 180
2x + 22 =180
2x = 158
X= 79
then you plug into the angles:
79 - 39 = 40 — angle 1
79 + 61 = 140 — angle 2

140 plus 40 is 180.

The three straight paths, , , and , meet each other at three points, A, B, and C. How do these points of intersection differ from each other? Explain the differences in terms of the angles that you see. Also look at the length of the side opposite each angle. What pattern do you see regarding the measurements? In what situation would all the points of intersection resemble one another? Modify the triangle in GeoGebra to help you with your answers

Answers

Answer:

Step-by-step explanation:

I am sort. I have no idea

Answer:

The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.

Step-by-step explanation:

please answer asap and dont get it wrong T0T

Answers

Step-by-step explanation:

answer what ?

all we can see is a grid of coordinates with a functional graph drawn into it.

and we know this function is called y=h(x).

that is it.

what answer is needed ? there is no question visible.

Which ordered pair is the best estimate for the solution of the
system of equations?
y= -1/2x +4 and y=1/2x - 3

Answers

Answer:

Where are the ordered pairs?

Step-by-step explanation:

Johnny asks you to guess the specific coins he has in his pocket if he has $3.70 in change. You say you need a little
more information, to guess. So he tells you all he has is quarters and dimes and that he has 22 colns in all.

Answers

Answer:

10 quarters and 12 dimes :)

Step-by-step explanation:

what is the value of m in the equation 1/5m - 2/3y = 30 when y = 15

Answers

Answer:

200

Step-by-step explanation:

1/5m-2/3y=30

1/5m-2/3(15)=30

1/5m-30/3=30

1/5m-10=30

1/5m=30+10

1/5m=40

m=40/(1/5)

m=(40/1)(5/1)

m=200/1

m=200

f(x) = 3x + 2
What is (5)?
O A. 21
B. 17
C. 15
O D. 10


Answers

B. 17

X=5

f(5) = 3x + 2
= 3(5) + 2
= 15+2
= 17

Hope this help you
Answer is 17...............

I need help, I can’t figure out the answer

Answers

Answer:

Step-by-step explanation:

in negative exponents you should switch both numerator and denominator so for 2 raised to -1 you should switch the numerator and denominator and it will become 1/2 in which 2 is raised to power 1

you can do the same for the remining sums

so a is 1/2 in which 2 is raised to 6 so answer is 1/64

Which of the following is a geometric sequence​

Answers

Answer:

B.

Step-by-step explanation:

A geometric sequence is where a number is multiplied or divided by same number

in option be all number ar the power of 2 so the correct answer would be B

Use the distributive property to write the next step in simplifying the numerical expression. Use the asterisk symbol (*) to represent multiplication. Do not multiply factors fully and do not use spaces. 4(x + 9)​

Answers

Answer:

This is the expression:

4*x+4*9

a. 12.4
b. 12.9
c. 8.5
d. 8.1

Answers

It would be c because it djfjfjd. F fjdjfjf

I say 8.5 not sure so c.

i need help trying to solve this question to the nearest tenth of a degree

Answers

X = 25.1 degrees...........

Which is a simplified form of the expression -5(y – 2) – 7y?
A. -12y + 10
B. 2y - 10
C. -2y + 10
D. 12y - 10

Answers

Answer:

the answer is B

Step-by-step explanation:

-5(y-2)-7y

-5y-10-7y

+7y +7y

answer: 2y-10

Answer:

A. (-12y+10)

Step-by-step explanation:

-5(y-2) - 7y can be simplified to:

-5y + 10 - 7y when you factor the parenthesis.

If you add the y's together, the answer should be:

-12y + 10.

.

lines b and c are parallel. no links.

Answers

Answer:

Value of x:

[tex]{ \tt{(13x + 9) + (5x + 9) = 180 \degree}} \\ { \tt{18x + 18 = 180 }} \\ { \tt{18x = 162}} \\ { \tt{x = 9}} \\ [/tex]

Angle m‹6:

[tex]{ \boxed{ \tt{m \angle6 = (5x + 9) \degree}}} \\ { \tt{m \angle6 = (5 \times 9) + 9}} \\ { \tt{m \angle6 = 54 \degree}}[/tex]

Answer:

B. 54 degrees

Step-by-step explanation:

Set up an equation that equals 180 degrees because a line is 180 degrees:

(13x+9)+(5x+9)=180

Solve for x:

x=9

Substitute 9 in 5x+9:

5(9)+9

Solve.

54

Since angle 6 is complementary, it is the same as the 7th angle.

So the answer is B, 54 degrees.

Hope this helps!

-5(x+4) + -3x + -9x+-7

Answers

Answer:

x - 27

Step-by-step explanation:

Our goal here is to solve for x.

Start by performing the indicated multiplication:

-5(x+4) + -3x + -9x+-7  =>  -5x - 20 - 3x + 9x - 7

Combine like terms:  x - 27

Answer:

[tex]-5(x+4) + -3x + -9x+-7[/tex]

[tex]\longmapsto -5\left(x+4\right)+\left(-3\right)x+\left(-9\right)x+\left(-7\right)[/tex]

[tex]\longmapsto -5\left(x+4\right)-3x-9x-7[/tex]

[tex]\longmapsto -5(x+4)=-5x-20[/tex]

[tex]\longmapsto -5x-20-3x-9x-7[/tex]

[tex]\longmapsto =-17x-27[/tex]

[tex]ANSWER:=-17x-27[/tex]

-------------------------------

hope it helps....

have a great day!!

find the missing information​

Answers

Answer:

?=83 degrees

Step-by-step explanation:

74+120=194

360-194=166

166÷2=83

You divide by two because it is an inscribed angle, so it will always be half the measure of the arc it is inscribing or enclosing.

Quadrilateral ABCD is a rectangle. FindBD ifAO = 6x - 22 and OC = 2x + 6.

40 units
20 units
7 units
10 units

Answers

The answer would be 40 because
6x-22=2x+6
4x-22=6
4x=28
X=7

So plug 7 in instead of x for both AO and OC
6(7)-22=20
2(7)+6=20

20+20=40
And since it’s the same answer for both sides the answer is 40

3 questions only pls help gota finish tofday

Answers

5a) 3x3x13

b) 3x7x7

c)11x5x2x2

d)3x3x3x5x2

6a)2x2x2x131

7a)5x5x2x2

b) 3x2x17

c)5x2x2x2x2x2x2

d)5x5x5x3

e) 2x2x103

f)5x3x137

g) 2x2x2x2x2x2x2x2x2

h)5x5x7x7x3

2. In AABC, m < B = 22°, m < C = 52° and a = 30. Find the length of b to the nearest tenth.

Answers

Answer:

232

Step-by-step explanation:

Answer:  11.7

===========================================

Explanation:

I recommend drawing out the triangle. See below.

Notice how each lowercase letter is a side length, and the uppercase letters are angles. Also, each lowercase letter is opposite their corresponding uppercase counterpart.

side a is opposite angle Aside b is opposite angle Bside c is opposite angle C

We're given that angles B and C are 22 degrees and 52 degrees in that order. Let's use the fact that the three angles of any triangle must add to 180 to solve for angle A

A+B+C = 180

A+22+52 = 180

A+74 = 180

A = 180-74

A = 106

We do this so we can then apply the law of sines

sin(A)/a = sin(B)/b

sin(106)/30 = sin(22)/b

b*sin(106) = 30*sin(22) ....... cross multiplication

b = 30*sin(22)/sin(106)

b = 11.6910908340182 ....... which is approximate

b = 11.7

Make sure your calculator is in degree mode.

Work out the area of the shaded shape.

Answers

Hi there!

[tex]\large\boxed{77m^2}}[/tex]

We can divide the figure into 3 rectangles.

Area of top rectangle:

5 × 5 = 25m²

Long rectangle:

14 × 3 = 42m²

Bottom rectangle:

2 × 5 = 10m²

Add up the areas:

10 + 42 + 25 = 77m²

I need help with my math!!!!!!!

Answers

Answer:

B is the answer because the graph is translated 2 down. the translation cannot be included within the radical sign, so it can't be C

What is the value of y in the equation y = 3x - 2. whenx = 2? *​

Answers

Answer:

4

Step-by-step explanation:

y=3x-2

y=3(2)-2

y=6-2

y=4

Answer:
y=4

Explanation:
x=2
3x = 3 times by x = 2x3
2x3=6
6-2=4
Therefore y = 4

For any three rational numbers a, b, & c, we have a + (b+c) = (a+b)+c , this property is called

Answers

Answer: Associative Property of Addition

This property says that we can group terms in any order we want, and the results of the addition would be the same.

For example, 2+(3+4) = 2+(7) = 2+7 = 9 and (2+3)+4 = (5)+4 = 5+4 = 9. Therefore, 2+(3+4) = (2+3)+4 is a true equation since both sides evaluate to 9.

This property works not only for rational numbers, but for any real numbers.

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