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3 years ago

Which term shows a product of a number and a variable? 5 + 6x - 7 + 4 A. 5 B. 6x C. -7 D. 4

2 answers:

7 0

A variable is just a letter or symbol that symbolizes a number

Therefore, B. 6x is a number multiplied by a letter (product).

Monica [59]3 years ago

4 0

B. 6x

A variable is usually a letter than can be any number plugged in (unless given).

All the other (5, -7, 4) are constants, and cannot change

hope this helps

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What is the approximate length of the missing side in the triangle below?

Kazeer [188]

Answer: 21.3 miles

Step-by-step explanation:

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3 years ago

A residual plot shows how far away each point in the scatter plot is from the least squares regression line.

MariettaO [177]

Answer:

Scatter plot one is not a good fit so answer is first picture to the left in a top row( see the pattern). Second plot is a good fit so the answer is the last right picture in a top row( points around x axis).

Step-by-step explanation:

A random scatter of points in the residual plot indicates that the linear function is a good fit for the given data. A non random residual plot indicates that the chosen function is not a good fit.

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4 years ago

Given the Arithmetic series A1+A2+A3+A4 7 + 11 + 15 + 19 + . . . + 91 What is the value of sum?

aivan3 [116]

Answer:

The value of the sum is 1078

Step-by-step explanation:

* Lets revise how to find the sum of the arithmetic series

- In the arithmetic series there is a constant difference between each

two consecutive terms

- Ex:

# 4 , 9 , 14 , 19 , 24 , .......... (+ 5)

# 25 , 15 , 5 , -5 , -15 , .......... (-10)

- So if the first term is a and the constant difference between each two

consecutive terms is d, then

U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , ..........

- Then the nth term is Un = a + (n - 1)d

- The sum of n terms is Sn = n/2[a + L] , where L is the last term in

the series

* Lets solve the problem

∵ The arithmetic series is 7 + 11 + 15 + 19 + ......................... + 91

∴ The first term (a) is 7

∴ The last term is (L) 91

- Lets find the constant difference

∵ 11 - 7 = 4 and 15 - 11 = 4

∴ The constant difference (d) is 4

- Lets find the sum of the series from 7 to 91

∵ Sn = n/2[a + L]

∵ a = 7 and L = 91

∴ Sn = n/2[7 + 91]

- We need to know how many terms in the series

∵ L is the last term and equals 91 lets find its position in the series

∵ Un = a + (n - 1)d

∵ a = 7 , d = 4 and Un = 91

∴ 91 = 7 + (n - 1)(4) ⇒ subtract 7 from both sides

∴ 84 = (n - 1)(4) ⇒ divide both sides by 4

∴ 21 = n - 1 ⇒ add 1 to both sides

∴ n = 22

∴ The number of the terms in the series is 22

- Lets find the sum of the 22 terms (S22)

∴ S22 = 22/2[7 + 91]

∴S22 = 11[98] = 1078

* The value of the sum is 1078

4 0

3 years ago

Braxton has money in a savings account. The equation B = 800(1+0.03)'.

Stels [109]

Answer:

a) Braxton's initial investment is equals to (=) Pam's initial investment.

b)The interest on Braxton's account is less than (< ) the interest on Pam's

account.

Step-by-step explanation:

Given - Braxton has money in a savings account. The equation

B = $800(1 + 0.03)^{t}$ can be used to calculate the amount of money

in dollars, B, Braxton has in his account after t years since opening

the account. Pam also has money in a savings account. The

equation, P= $800(1 + 0.04)^{t}$ can be used to calculate the amount of

money in dollars, P, Pam has in her account after t years since

opening the account.

To find - a) Braxton's initial investment ..........Pam's initial investment.

b) The interest on Braxton's account .....the interest on Pam's

account.

Proof -

As given, Broxton equation is -

Pam equation is -

Now,

a.)

For initial investment , Put t = 0

⇒B = $800(1 + 0.03)^{0} = 800(1) = 800$

P = $800(1 + 0.04)^{0} = 800(1) = 800$

We can see that for t = 0

Initial investment of Braxton = Initial investment of Pam

⇒Braxton's Initial investment = Pam's initial investment.

b.)

For the interest,

As we have not given any time period for which the interest has to be find.

So , let the time period , t = 5 years

Therefore,

B = $800(1 + 0.03)^{5} = 800(1.03)^{5} = 800(1.159) = 927.42$

P = $800(1 + 0.04)^{5} = 800(1.04)^{5} = 800(1.217) = 973.32$

Now,

Interest on Braxton's account = 927.42 - 800 = 127.42 ≈ 127

Interest on Pam's account = 973.32 - 800 = 173.32 ≈ 173

∴ we get

The interest on Braxton's account is less than the interest on Pam's account.

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3 years ago

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Gnesinka [82]

Answer:

Step-by-step explanation:

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4 years ago