Find the value marked b?

The arithmetic sequence has a common difference, and a first term and the 17th term in the arithmetic sequence is -21

The given parameters are:

The nth term of an arithmetic progression is:

Tn = a + (n - 1)d

So, we have:

T17 = a + 16d

Substitute the given values

T17 = 11 - 16 * 2

Evaluate

T17 = -21

Hence, the 17th term in the arithmetic sequence is -21

Read more about arithmetic sequence at:

https://brainly.com/question/6561461

#SPJ1

The interval for the function to be negative will be (-∞<x<-7).

A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Here we have a function:-

g(x) = ∛(x+6)

If we put the value of x lesser than 6 in the function we will always get a negative value so the interval will be:-

(-∞<x<-7).

Therefore interval for the function to be negative will be (-∞<x<-7).

To know more about function follow

https://brainly.com/question/2833285

#SPJ1

Answer:

(–∞, –6)

Step-by-step explanation:

I got it right on exam.

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]3x+2=14\\\\3x+2-2=14-2\\\\3x=12\\\\\displaystyle \frac{3x}{3}=\frac{12}{3}\\ \\ x=4[/tex]

Answer:

$0.65

Step-by-step explanation:

Given:

Books cost $6.95 each.

Mary had a $5 bill, a $1 bill, and 3 dimes.

To Find:

How much more money does she need to buy one book?

Solve:

Add all Mary money:

5+1+.30

6+.30

=6.30

Now subtract the book cost  by Mary total money.

$6.95-$6.30

=$.65

Hence, Mary needs .65 cents to buy one book.

Kavinsky

Answer: 65 cents 0.65

Step-by-step explanation:

$5 + $1=$6

3dimes= 30 cents

$6 + 30 cents=$6.30

$6.95-$6.30=0.65

The graph is showing the equation of circle x²+y²=4

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

To know more about circles follow

https://brainly.com/question/24375372

#SPJ1

The zeroes of the function g will be 7 and negative 6. Then the correct option is B.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

If function g has the factors (x-7) and (x + 6).

Then the zeros of function g will be

For the zeroes of the function, then put the factors equal to zero. Then we have

x - 7 = 0  and  x + 6 = 0

    x = 7  and         x = -6

Then the zeroes of the function g will be 7 and negative 6. Then the correct option is B.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ1

Answer:

height = 21 cm

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substituting given values into the formula and solving for r:

[tex]\implies \sf 343 \pi=\dfrac{1}{3} \pi r^2(3r)[/tex]

[tex]\implies \sf 343=\dfrac{1}{3}\cdot3r^3[/tex]

[tex]\implies \sf 343=r^3[/tex]

[tex]\implies \sf r=\sqrt[3]{343}[/tex]

[tex]\implies \sf r=7\:cm[/tex]

As h = 3r, substitute found value of r into the equation and solve for h:

[tex]\implies \sf h = 3r[/tex]

[tex]\implies \sf h=3(7)[/tex]

[tex]\implies \sf h=21\:cm[/tex]

a. The area of the rectangle: 16 units²

b. The area of the triangle on the left: 6 units²

c. Area of the triangle on the right: 10 units²

d. Area of the figure: 32 units²

a. l = 4 units

w = 4 units

Area of the rectangle = (4)(4) = 16 units²

b. b = 3 units

h = 4 units

Area of the triangle on the left = 1/2(3)(4) = 6 units²

c. b = 5 units

h = 4 units

Area of the triangle on the right = 1/2(5)(4) = 10 units²

d. Area of the figure = 16 + 6 + 10 = 32 units²

Learn more about the area of a rectangle and a triangle on:

https://brainly.com/question/446826

#SPJ1

Answer:

a: 16

b: 6

c:10

d: 32

Step-by-step explanation:

explained already <3

Answer:

A square is sometimes a rectangle, but a rectangle is never a square.

Answer:

$

15.00

Step-by-step explanation:

Round the costs of the gloves and hat. $9.95 is very nearly $10. And even though $5.25 is over $5 , it is still very close. $10+$5 is $15. This is the estimate.

Answer:

518

i don't know if this needs much explaining.

Answer:

518 records per row

Step-by-step explanation:

Divide to find out how many are in each row :

Answer:

8/9n - 3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The median is 8, so it is less than 9.

Answer:

Option D is not true

Step-by-step explanation:

The mode is the highest occuring number.From the data.

The mode is 9 and is greater than 7.This mean option A is correct.

The range is the difference between the highest number and the lowest which is 15-4 =11.Hence option C is correct because the range is more than 10.

The median when the data is arranged in either ascending or descending order i.e (15,12,11,9,9,7,5,4).Hence,the middle numbers are 9 and 9.To get the median,we get the average of the numbers which will be 9+9=18 ÷2= 9. The median is 9 which means option D is not correct.

The mean will be the addition of the numbers divided by the number of items

[tex] \frac{9 + 15 + 5 + 7 + 9 + 12 + 11 + 4}{8} [/tex]

[tex] = \frac{72}{8} [/tex]

[tex] = 9[/tex]

The mean is equal to 9 which means Option B is correct.

This implies that the only option which is incorrect is option D

Answer:

2/3

Step-by-step explanation:

total marbles is (8 black+ 16 white + 14 red +10 green) = 48

no white cmarbles ( 8+14+10) = 32

32/ 48 =  2/3

Answer:

10πcm

Step-by-step explanation:

radius of the circle= 5cm

circumference of a circle has the formular

= 2πr

= 2×π×5

then In terms of pi

= 10πcm

50 dollars is on Emma's way

Step-by-step explanation:

Not math is free okay but only mathematics is free

Answer:

1/2

Step-by-step explanation:

The x-intercept is a point on the graph that is located on any point of x but must have a y-value of 0. To find the x-intercept, we must set y in the given equation equal to 0.

8x + 2y = 4

8x + 2(0) = 4

8x = 4

x = 4/8

x = 1/2

Answer:

there are 56 ounces in 3.5 pounds.

let's firstly convert the mixed fractions to improper fractions and then get their product.

[tex]\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} ~\hfill \stackrel{mixed}{1\frac{3}{7}}\implies \cfrac{1\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{10}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\cdot \cfrac{10}{7}\implies \cfrac{7}{7}\cdot \cfrac{10}{2}\implies 1\cdot 5\implies 5[/tex]

Answer:

i got you the answer is .....

Step-by-step explanation:

there you go

Answer:

Step-by-step explanation:

since #16 = 20% then #18 will be 18/16 * 20%= 22.5%

The amount of time it will take for Ryan expect his laptop to be fully charged by following the example on the image attached.

16 %= 4m

28%= 15m

37%= 10m

51% = 24m

69% = 34m

81%= 17m

Based on his quick calculation at 1:17 and estimates that it will be fully charged by 2:30 is wrong because when you look at the i]steps above, you will see that it the minute used too charge varies.

Learn more about battery from

https://brainly.com/question/14883923

#SPJ1

Answer:

95

Step-by-step explanation:

Surface Area :

⇒ Area (4 triangle faces) + Area (square base)

⇒ 4 x 1/2 x 5 x 7 + (5)²

⇒ 2 x 35 + 25

⇒ 70 + 25

⇒ 95 square centimeters

Answer:

x = 20

y = √3 / 10

Step-by-step explanation:

The cosine ratio gives the ratio between the adjacent side and the hypotenuse.

The sine ratio gives the ratio between the opposite side and the hypotenuse.

Taking cosine ratio to find x :

cos 60° = 10/x

1/2 = 10/x

x = 20

Taking sine ratio to find y :

sin 60° = y/x

√3 / 2 = y/20

y = √3 / 10

Answer:

x= 20 ,  y= 10√3

Step-by-step explanation:

This question is clearly a trigonometry question

Please bare in mind :

Cos 60 = 1/2

Sin 60 = √3/2

Tan 60 = √3

Side x is the hypotenuse (h)

Side y is the Opposite (o)

And side with length of 10 is adjacent (a)

To find x, we have a, and we need h

So we use C = a/h

Cos 60 = 10/h

h = 10/Cos 60

h = 10/0.5

h = 20 ,  x=20

To find y, we can use pythagaros as we found the value of x :

10² + y² = x²

10² + y² = 20²

y² = 20²-10²

y² = 300

y = √300

y= √100×3   y=√100 × √3

y = 10√3

This is our y value

Another way to find y is trigonometry :

We have a and we need o so we use :

T = o/a

Tan 60  = o/10

o = 10×tan 60

o = 10×√3

o = 10√3 ,  y=10√3

Sorry for not being urgent but give brainliest please

Answer: a) 7mm  b) 18mm  c) 49mm

Step-by-step explanation:

There are 10 mm in 1 cm, so to find how many mm the measurements are, multiply the measurement in cm by 10.

a) 0.7 cm

0.7 cm x 10 mm per cm = 7 mm

b) 1.8 cm

1.8 cm x 10 mm per cm = 18 mm

c) 4.9 cm

4.9 cm x 10 mm per cm = 49 mm

Answer:

[tex]\sf \dfrac{1}{2}[/tex]

Step-by-step explanation:

Results from the slips of paper:

Total slips of paper = 16

[tex]\sf Proportion = \dfrac{part}{whole}[/tex]

[tex]\implies \textsf{Proportion of shoppers who were happy}=\sf \dfrac{8}{16}=\dfrac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

There are 16 responses

There are 8 people who said yes

P( happy) = yes/  total

P(happy) = 8/16 = 1/2

Answer:

No sollution

Step-by-step explanation:

It simple

Answer:

36.8

Step-by-step explanation:

Hope this should do the trick if you can find this answer; 36.8.

Answer:

0.56

Step-by-step explanation: