In the expression -3g + 12, how many terms are in the expression? *1
2
3
4
Which expression has three terms? *
5x + kr
3ab
6 + x - 2y
4p + 2
Which had the greatest coefficient? *
16 - 2x
4 + 6x
10 - 9x
15x
Which had the smallest coefficient? *
16 - 2x
4 + 6x
10 - 9x
15x
The factors of the expression 5(c + d) are 5 and *
c
(c + d)
Option 3
c and d
Are the expressions (a + b)(c + d) and (c + d)(a + b) equivalent? *
yes, they have the same quantities and factors
no, they do not have the same quantities or factors
yes they have the same quantities only
not they do not have the same quantities or factors

Answers

Answer 1
Answer:
  1. 2
  2. 6 + x -2y
  3. 15x
  4. 16 - 2x
  5. 5 and (c + d)
  6. Yes, same quantities and factors

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In second grade Eliza was given 500 from her grandparents this money was deposited into a savings account that earns 3% annual interest compounded quarterly find the account balance at graduation is there no other deposits or withdrawals in the account

Answers

Answer:

account balance at graduation is 674.17

Step-by-step explanation:

given data

deposit money P  =  500

interest rate = 3 % compounded quarterly

we take time period = 10 year ( 2nd grade to 12 grade)

solution

we apply here compound interest formula that is

amount = P * (1+(r)/(4))^(4t)      ..................1

put here value and we get

amount = 500 * (1+(0.03)/(4))^(4* 10)

amount = 674.174

so account balance at graduation is 674.17

Answer:

$694.63

Step-by-step explanation:

The formula is p(1+r/n)^tn. P, or the principal amount, is 500 dollars. R, or the rate as a decimal, is 0.03. N, or the number of times compounded yearly, is 4. T, or the time in years, is 11, since there are 11 years from grade 2 to grade 12. 12-2+1=11. Now, plug in the information given. 500(1+0.03/4)^4*11 = 500(1.0075)^44 = 694.63 dollars, rounded to the nearest cent.

What is the domain of h?A) -5≤h(x)≤4
B) The h(x) values -4,-2,2,4, and 6
C) The h(x) values -5,-4,0,2, and 4
D) -4≤h(x)≤6 ​

Answers

Answer:

C

Step-by-step explanation:

  • The domain is all the x numbers for each point
  • So -5,-4,0,2,4

A national dental association conducted a survey to find the average (mean) amount of time dentists spend on dental fillings per week. Based on a simple random sample, they surveyed 144 dentists. The statistics showed that dentists spent an average of 20 hours per week on fillings with a standard deviation of 10 hours. What is the probability of finding a sample mean less than 18 hours?

Answers

Answer:

The probability of finding a sample mean less than 18 hours is 0.0082

Step-by-step explanation:

To find the probability of finding a sample mean less than 18 hours, we need to calculate the z-score of this sample mean 18. And the probability of finding a sample mean less than 18 hours is P(z<z(18)).

Z-score can be calculated as follows:

z(18)=(X-M)/((s)/(√(N) ) ) where

  • X is the sample mean (18 hours)
  • M is the average hours dentists spend per week on fillings (20 hours)
  • s is the standard deviation (10 hours)
  • N is the sample size (144)

Putting the numbers, we get:

z(18)=(18-20)/((10)/(√(144) ) )=-2.4

Using z- table we can find that P(z<z(18)) = 0.0082

Final answer:

Based on given mean & standard deviation, by using principles of Central Limit Theorem and Z-score calculation, the probability of finding a sample mean less than 18 hours is approximately 0.0082 or 0.82%.

Explanation:

This question is about the probability of a specific sample mean in statistics, based on provided mean and standard deviation values. It requires the principle of the Central Limit Theorem which states that means of samples taken from a population are normally distributed irrespective of the population's distribution.

To answer this question, we first need to calculate the standard error (SE), which is the standard deviation divided by the square root of the sample size (n). In this case, SE = 10/sqrt(144) = 10/12 = 0.83 (rounded to 2 decimal places).

Next, we calculate the Z score, which tells us how many standard deviations an element is from the mean. So, Z = (Sample Mean - Population Mean) / SE = (18 - 20) / 0.83 = -2.4 (rounded to one decimal place).

Using the Z score table (also known as a standard normal distribution table), we find that the probability of a Z value of -2.4 or less is approximately 0.0082. Thus, the probability of finding a sample mean less than 18 hours is 0.0082, or 0.82% when expressed as a percentage.

Learn more about Probability here:

brainly.com/question/32117953

#SPJ12

Find an equation in standard form for the ellipse with the vertical major axis of length 10 and minor axis of length 8

Answers

Answer:   The required equation of the ellipse in standard form is (y^2)/(25)+(x^2)/(16)=1.

Step-by-step explanation:  We are given to find the equation of an ellipse in standard form with the vertical major axis of length 10 units and minor axis of length 8 units.

Since the major axis is vertical, so it will lie on the Y-axis. Let the standard form of the ellipse be given by

(y^2)/(a^2)+(x^2)/(b^2)=1,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

where the length of major axis is 2a units and length of minor axis is 2b units.

According to the given information, we have

2a=10\n\n\Rightarrow a=(10)/(2)\n\n\Rightarrow a=5

and

2b=8\n\n\Rightarrow b=(8)/(2)\n\n\Rightarrow b=4

Substituting the values of a and b in equation (i), we get

(y^2)/(5^2)+(x^2)/(4^2)=1\n\n\n\Rightarrow (y^2)/(25)+(x^2)/(16)=1.

Thus, the required equation of the ellipse in standard form is (y^2)/(25)+(x^2)/(16)=1.

(x/h)^2+(y/v)^2=1   where h is the horizontal radius and v is the vertical radius

In this question it seem that they are saying the length of the axis and not radius so I would cut them in half so that they are radii...then:

(x/4)^2+(y/5)^2=1

x^2/16+y^2/25=1

Ac and bd are perpendicular bisectors of each other. adc. Find eab

Answers

Let ∠ ADC = 2β

Ac and BD are perpendicular bisectors of each other ⇒⇒ (Given information)

∴ BD
bisects the angle ADC
∴ ∠ADE = 0.5 ∠ADC = β

And in ΔADE:
∵∠DEA = 90°    ⇒⇒⇒ from the given information
∴∠DAE = 90° - β

And AC bisects ∠DAB 
⇒⇒⇒ from the given information
∴∠EAB = ∠DAE = 90° - β

<EAB = 180 - 90 - (0.5*<ADC)

The following rule describes the relationship between x and y.Rule: Multiply x by 4 to get y.
Complete the table for the given rule.
X Y
0 __
1 __
2 __

Answers

Y

0
4
8
Hope this helps :)