find the sum of first 50 terms in the sequence 10n-15.

Answer:

Evaluate the expression, given functions f and h:  

f(x) = 3x − 1,

h(x) = −2x2 + 3x − 2.

f  

7

3

− h(−2)

Step-by-step explanation:

Step-by-step explanation:

Using the power law of indices:

When two numbers with the same base multiply,add the exponents that is

[tex] {a}^{2} \times {a}^{3} = {a}^{2 + 3} = {a}^{5} [/tex]

Again,when two numbers with the same base divide, subtract the exponents,that is

[tex] {a}^{2} \div {a}^{4 } = {a}^{2 - 4} = {a}^{ - 2} [/tex]

There are way too many examples that is why I have elaborated the two laws for your perusal.

So for instance:

1.

[tex] {2}^{2} \times {2}^{5} = {2}^{7} [/tex]

Answer:

2² × 2⁵ = 2⁷

            = 128

4⁴ × 4⁶ = 4¹⁰

           = 1048576

6² × 6⁷ = 6⁹

           = 10077696

9⁸ × 9⁸ = 9¹⁷

           = 1.6677182e+16

Do try the rest out yourself!!! You can do it!!!

Step-by-step explanation:

please watch reflection in the picture

Answer:

see image

Step-by-step explanation:

Answer: 1/4n-12=6

1n/4-12=6

n=72

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

let the number be n , then

[tex]\frac{1}{4}[/tex] n - 12 = 6 ( multiply through by 4 to eliminate the fraction )

n - 48 = 24 ( add 48 to both sides )

n = 72

Step-by-step explanation:

12 + 3=15

48+ 3=51

10 + 3=13

40 + 3=43

12 + 3=15

48 + 3=51

10 + 3=13

40+ 3=43

Hi :)

6 - x > -9

6 - 16 > -9

-10 > -9

What I did was substitued an integer for x that would just break even and then be more than -9.

Answer:

the answer is c

Step-by-step explanation:

x - 7, y + 6

- 1 - 7, 4 + 6

- 8, 10

Answer:

8x + 3y + 2x^2 + 6y^2 + 7 =

Step-by-step explanation:

8x + 3y + 2x^2 + 6y^2 + 7 =

Combine like terms

There are no like terms

8x + 3y + 2x^2 + 6y^2 + 7 =

Let's combine

No like terms present

We may arrange in order of degrees.

Answer:

4

Step-by-step explanation:

64 = 4 × 4 × 4 = 4³ , then

[tex]\sqrt[3]{4^3}[/tex]

= 4

Answer:

The slope is 3/5

Step-by-step explanation:

–3x + 5y = 10

Rewrite the equation in slope intercept form  y = mx+b where m is the slope and b is the y intercept

Add 3x to each side

5y = 3x+10

Divide by 5

y = 3/5 x + 10/2

The slope is 3/5

Answer:

[tex] \frac{5}{8} k = 25 \\ \frac{5k}{8} = 25 \\ 5k = 25 \times 8 \\ 5k = 200 \\ k = \frac{200}{5} \\ k = 40[/tex]

I hope it helped U

stay safe stay happy

Answer:

k=1/40

Step-by-step explanation:

multiple both sides by 8k

5= 25×8k

simplify 25×8k to 200k

5=200k

divide both sides by 200

5/200=k

simplify 5/200 to 1/40

1/40= k

switch sides

k=1/40

Answer:

-19

Step-by-step explanation:

Since we already have the values of the variables and the equation, all we have to do is plug in the numbers.

-b + 3x

-(4) + 3(-5)

-4 + (-15)

-4 - 15

-19

Answer:

[tex]\boxed {\boxed {\sf -19}}[/tex]

Step-by-step explanation:

We are asked to evaluate the following expression.

[tex]-b+3x[/tex]

We know the b is equal to 4, and x is equal to -5.

We can substitute the values into the expression.

[tex]-(4) + 3(-5)[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Multiply first. We multiply -1 and 4, then 3 and -5.

[tex][-1 *4] + 3(-5)[/tex]

[tex]-4+ [3*(-5)][/tex]

[tex]-4+-15[/tex]

Add.

[tex]-19[/tex]

The expression -b+3x is equal to -19 when b equals 4 and x equals -5.

Answer:

A. y ≤ 1

Step-by-step explanation:

according to the graph, the coordinates of maximum value is (-3, 1) and besides the graph towards down, so, the range of the function is y ≤ 1

Answer:

√2 and √3

Step-by-step explanation:

Answer:

Step-by-step explanation:

√2 and 5√2 are two irrational numbers

√2 * 5√2 = [tex]5*\sqrt{2*2} = 5 * 2 = 10[/tex]

and here 10 is an integer

Answer:

3π

Step-by-step explanation:

540° = 360° x 1 + 180°

= 2π + π

= 3π

CMIIW

Answer:

0.63636363~ (63 repeats, cant find the symbol here :( )

rational number means it can be expressed as a fraction, 0.636363636~ =7/11

Answer:

[tex]\dfrac{ 450 \sin ( 140 ) }{ \sin ( 28 ) }[/tex]

= 616.127679049

"B"

Step-by-step explanation:

Answer:

198

Step-by-step explanation:

10% less of 220  

=> 220 - 10% of 220

=> 220 - (10/100 × 220)  

=> 220 - 22

=> 198

Answer:

1/2 of the coconut.

Step-by-step explanation:

1/5 is equal to 2/10, so we can add these two fractions as 3/10 + 2/10, or 5/10.  Simplifying this gets us 1/2, so you and your friend eat, in total, half of the coconut.  

Answer:

[tex]3(5n - 2) \times (2n - 5)[/tex]

Step-by-step explanation:

[tex]30 {n}^{2} - 87n + 30[/tex]

[tex]3(10 {n}^{2} - 29n + 10)[/tex]

[tex]3(10 {n}^{2} - 4n - 25n + 10)[/tex]

[tex]3(10 {n}^{2} \times (5n - 2) - 25n + 10)[/tex]

[tex]3(2n \times (5n - 2) - 5(5n - 2))[/tex]

[tex] = 3(5n - 2) \times (2n - 5)[/tex]

Answer:

P/2 -w = l

Step-by-step explanation:

P = 2l + 2w

Subtract 2w from each side

P-2w = 2l + 2w-2w

P -2w = 2l

Divide each side by 2

(P-2w)/2 = 2l/2

P/2 -w = l

3x(4x - 2) = 3x · 4x - 3x · 2 = 12x² - 6x

Answer:

plot these points on the graph and connect them

Step-by-step explanation:

T(5,-10)

U(9,-10)

V(2,0)

Answer:

1

Step-by-step explanation:

In the equation -7 - (-8), there are two 'minus' signs; we can convert two minus signs into a plus sign according to the 'minus minus equals plus' rule, that would make the equation (-7) + 8 for which the answer is +1.

Answer:

1

Step-by-step explanation:

-7-(-8)

therefore;

  -7-(-8)= -7+8

therefore;

   -7+8= 1

Hope you understand.If you have any problem just ask me I will solve it.

Answer:

since there is no value for the dimensions of the tennis ball. The tennis ball is a sphere with a Surface Area 4pir²

Answer: bn= 150*3^(n-1)( bn is a quantity of bacteria in generation n)

Step-by-step explanation:

It looks like geometrical sequence, each next generation is three times greater than previous one. So the r of this sequence is 3.

The first generation has 150 representatives, so b1=150

The formula of geometrical sequence is bn=b1*r^(n-1)

(in our case bn is a quantity of bacteria in generation n)

so bn= 150*3^(n-1)( bn is a quantity of bacteria in generation n)

Answer:

3.2 × 10⁻²

Step-by-step explanation:

→ First multiply the whole numbers

8 × 4 = 32

→ Now add the powers

32 × 10⁻³

→ Convert into standard form

3.2 × 10⁻²