14(0.89)^x+4.5 =162

Answers

Answer 1

Answer: $14(0.89)^(x + 4.5) = 162$
$(14(0.89)^(x + 4.5))/(14) = (162)/(14)$
$0.89^(x + 4.5) = 11(4)/(7)$
$ln(0.89^(x + 4.5)) = ln(11(4)/(7))$
$(x + 4.5)ln(0.89) = ln(11(4)/(7))$
$((x + 4.5)ln(0.89))/(ln(0.89)) = (ln(11(4)/(7)))/(ln(0.89))$
$x + 4.5 = -2101.14032500$
$x = 2105.64032500$

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A 6 ounce bag of raisins costs $2.46.an 8 ounce bag of raisins costs $3.20.which is the better deal?

Answers

6 ounce bag
$(246)/(6) = 41$
8 ounce bag
$(320)/(8) = 40$

The eight ounce bag costs one cent less per ounce. It's therefore a better deal.

1.8 Graphing Ordered Pairs: Practice!Write the ordered pair for each point.
A
1. A
2. B
3. C
4. D
5. E
6. F

Answers

A(2,4)
B(-1,2)
C(-3,-2)
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Which of the following statements is false? (5 points) Select one: a. The sum of two rational numbers is always rational. b. The product of a nonzero rational number and an irrational number is always irrational. c. The product of two rational numbers is always rational. d. The sum of two irrational numbers is always rational.

Answers

Answer is d the sum of two irrational numbers is always rational.

Need help please need answer fast

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Answer:

What do you need help with?

Step-by-step explanation:

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F{G[H(2)]}.

Answers

Answer:

Step-by-step explanation:

Evaluate from the inside out, that is

Evaluate h(2) , then use the value obtained to evaluate g(x) and the value obtained here to evaluate f(x) , that is

h(2) = 2² = 4 , then

g(4) = 3(4) + 2 = 12 + 2 = 14, then

f(14) = 2(14) - 1 = 28 - 1 = 27

Rewrite 4/7 and 6/11 so that they have a common denominator.

Answers

For this, you have to calculate LCM of denominators i.e., 7 and 11 that will be 77

Now, 77/7 = 11, so 4*11=44 & 77/11 = 7, so 6*7=42

44/77 and 42/77 is the answer

Final answer:

To get a common denominator for the fractions 4/7 and 6/11, we find the least common multiple of 7 and 11, which is 77. The fraction 4/7 becomes 44/77 when both numerator and denominator are multiplied by 11, and the fraction 6/11 becomes 42/77 when both are multiplied by 7.

Explanation:

In simple terms, a common denominator is found by identifying the least common multiple (LCM) of the denominators you are working with. In this instance, we are facing two fractions: 4/7 and 6/11. The LCM of 7 and 11 is 77, because 7 and 11 are both prime numbers and prime numbers only have one common multiple - their product.

So, you can rewrite these fractions as follows:

For 4/7, you multiply both the numerator (the top number) and the denominator (the bottom number) by 11. This gives you 44/77.
For 6/11, you multiply both the numerator and the denominator by 7. This gives you 42/77.

Learn more about Common Denominator here:

brainly.com/question/7325714

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