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3 years ago

Abc + def how many terms and factors

1 answer:

3 0

This expression has three terms: the variables x, y, and z. We say that the first term is x, that the second term is y, and so on. This expression also has three terms: the number 7, the function f(x), and the variable a.

You might be interested in

Apply the communitive property to 13x7x21 to rearrange the terms and still get the same solution

Snezhnost [94]

The commutative porperty states that numbers can be swapped over , they can change their place in the equation and the result will still be the same.
In our case 13 x 7 x 21, the commutative property means that the numbers can be rearranged
13x7x21=13x21x7=7x21x13=7x13x21

5 0

3 years ago

I NEED HELP PLEASE, THANKS! :) Heather invests $4,900 in an account with a 3.5% interest rate, making no other deposits or withd

Alex

Answer: $5,828.28

<u>Step-by-step explanation:</u>

Use the Compound Interest formula: $A=P(1+\frac{r}{n})^{nt}$ where

A is the accrued amount (balance)
P is the principal (initial amount invested)
r is the interest rate (in decimal form)
n is the number of times compounded each year
t is the time of the investment (in years)

Given: P = 4,900

r = 3.5% (0.035)

n = 2

t = 5

$A=4,900\bigg(1+\dfrac{0.035}{2}\bigg)^{2(5)}\\\\\\.\qquad = 4900(1.0175)^{10}\\\\\\.\qquad = \large\boxed{5,828.28}\\$

5 0

3 years ago

Use logarithmic differentiation to find dy/dx. y = (1 + x)^1/x, x > 0

vovangra [49]

Use exp/log functions to rewrite y as

$y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)$

One of the properties of logarithms lets us bring down the exponent, so

$y = \exp\left(\dfrac{\ln(1+x)}x\right)$

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

$\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}$

Simplify:

$\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}$

6 0

2 years ago

Suppose a baker claims that his bread height is more than 15 cm, on average. Several of his

yKpoI14uk [10]

Since the p-value is approximately equal to zero (0), we can conclude that there is sufficient evidence that the true mean height for the baker's loaves of bread is greater than (>) 15 cm.
Since 2.37 is greater than (>) 1.645, we reject the null hypothesis (H₀) at 5% level of significance. Therefore, we can conclude that the company’s claims are invalid.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

For the baker's claim, the appropriate null and alternative hypotheses would be given by:

H₀: μ ≤ 15

H₁: μ > 15

Since the standard deviation for the height is given, the population would have a normal distribution, and the population standard deviation is given by:

Population standard deviation = σ/√n

Population standard deviation = 0.5/√10

Population standard deviation = 0.16.

For the p-value, we have:

The p-value is the probability that a sample mean would be the same or greater than (≥) 17 cm. Thus, the p-value is given by:

p-value = P(x > 17) ≈ 0.

Since the p-value is approximately equal to zero (0), we can conclude that there is sufficient evidence that the true mean height for the baker's loaves of bread is greater than (>) 15 cm.

Question 3.

For the oil company's claim, the appropriate null and alternative hypotheses would be given by:

H₀: μ = 0.15

H₁: μ > 0.15

<h3>How to calculate value of the z-score?</h3>

The z-score can be calculated by using this formula:

$z=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }$

<u>Where:</u>

x is the sample mean.

u is the mean.

is the standard deviation.

n is the number of boys.

Substituting the given parameters into the formula, we have;

$z=\frac{0.162\;-\;0.15}{\frac{0.04}{\sqrt{40} } }\\\\z=\frac{0.012}{\frac{0.4}{6.3246 } }$

z = 0.012/0.0633

z = 0.190.

From the z-table, a z-score of 0.190 is equal to a p-value of 2.37.

For the critical value, we have:

Critical probability (p*) = 1 - α/2

Critical probability (p*) = 1 - 0.1/2

Critical probability (p*) = 0.95.

Hence, the critical value is Zα/2 equal to 1.645.

Since 2.37 is greater than (>) 1.645, we reject the null hypothesis (H₀) at 5% level of significance. Therefore, we can conclude that the company’s claims are invalid.

Read more on null hypothesis here: brainly.com/question/14913351

#SPJ1

4 0

1 year ago

Triangle QRS is similar to triangle TUV. Write the equation, in slope-intercept form, of the side of triangle QRS that is parall

trasher [3.6K]

Answer:

The equation of the side of triangle QRS that is parallel to segment UV is:

y = x + 9

Step-by-step explanation:

I attached a pic with the procedure to find the answer. Hope it helps, good luck!

6 0

3 years ago