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3 years ago

Some help please? What is the coefficient of the term of degree 1 in the polynomial

Mathematics

2 answers:

Anestetic [448]3 years ago

5 0

The coefficient is the number in front of the variable.

For example:

2x 2 is the coefficient

5y 5 is the coefficient

The degree is the exponent of a variable.

For example:

y "y" has an exponent of 1, so the degree is 1

The variable that has an exponent of 1 is 3x, so the coefficient of the term is 3

Harman [31]3 years ago

5 0

Answer:

Step-by-step explanation:

Degree 1 is x¹ or x

Term in x is 3x

Coefficient is 3

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Please tell me !!!!!!

vlada-n [284]

Answer:

Step-by-step explanation:

Its H because a square has 4 sides and 58 divided by 4 is 14.5

8 0

3 years ago

Determine which elements of S satisfy the inequality

kumpel [21]

Answer:

The elements of S-block elements are 14, so therefore to create an inequality model we declare S to be the unknown variable.

therefore since we have 14 elements we use an inclusive class interval from 1-14. the model is given as

1≤S≥14

Step-by-step explanation:

you have to declare variables before for the unknowns.

you also declare the class interval to be inclusive class interval or exclusive class interval.

4 0

3 years ago

In a study of parents' perceptions of their children's size, researchers asked parents to estimate their youngest child's height

tatyana61 [14]

Answer:

Test statistic t=6.505

P-value=0

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that parents tend to underestimate their youngest child's size.

Then, the null and alternative hypothesis are:

$H_0: \mu=0\\\\H_a:\mu> 0$

The significance level is assumed to be 0.05.

The sample has a size n=39.

The sample mean is M=7.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7.2}{\sqrt{39}}=1.153$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.5-0}{1.153}=\dfrac{7.5}{1.153}=6.505$

The degrees of freedom for this sample size are:

$df=n-1=39-1=38$

This test is a right-tailed test, with 38 degrees of freedom and t=6.505, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t>6.505)=0$

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that parents tend to underestimate their youngest child's size.

5 0

3 years ago

Jordan needs one can of juice to make 24 servings of a punch. How many servings of punch can she make with 1/2 a can of juice?

kati45 [8]

Compare the two sets of numbers with a ratio. 1 can for 24 servings is to 1/2 can for x servings.

x= # servings from 1/2 can

1/24= (1/2)/x
cross multiply

1 * x= 24 * 1/2

x= 24/2

x= 12 servings

ANSWER: She can make 12 servings from 1/2 can of juice.

Hope this helps! :)

3 0

3 years ago

A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi

omeli [17]

Answer:

a) $M(t)=24000-14000e^{t/10}$

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

$\frac{dM}{dt}=0.1M-2400$

We can express this equation as:

$\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}$

(b) We can calculate this as M(t)=0

$M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390$

It takes 5.390 years to pay off the loan.

8 0

3 years ago