What are the restrictions on the variable for da + 10d + 252 5d - 250 11. What is the domain for the function f(x) x? - 5x – 24 ? x? - 7x - 30 a. {x ER | **-3, 10} c. {X ER|X# 3,- 10} b. {x ER|X#-3, 8, 10} d. {X ER} 12. Which of the following are factors for the polynomial 6x2 + 36x + 54? a. (2x + 6)(3x + 3) c. 3(x + 6)(x + 3) b. 6(x + 3)(x + 3) d. 6(x + 9) (x + 6) 13. Which of the following is equivalent to the function f(x) - 4x – 32 ? -5x3 + 40x? a. c. g(x) x2 + 14x + 40 -5x 50x - 10x² - 5x² 2x + 1 b. d. 3x2 + 12x h(x) = x2 - - 6x + 8 5x + 2310x k(x) = Ра

Step-by-step explanation:

all you have to do is number the line from -5 to 5 and just plot the points next to it

As we have proved that every natural number N is congruent to the sum of its decimal digits modulo 9, by expressing N in terms of its digits modulo 9 and using the fact that 10 is congruent to 1 modulo 9.

To begin with, let's represent any natural number N in decimal notation as follows:

N = dₙ x 10ⁿ + dₙ₋₁ x 10ⁿ⁻¹ + ... + d₁ x 10 + d₀

Where dᵢ denotes the ith decimal digit from the right and n is the number of digits in N minus 1.

We can also express N in terms of its digits modulo 9 as follows:

N ≡ dₙ x 1ⁿ + dₙ₋₁ x 1ⁿ⁻¹ + ... + d₁ x 1 + d₀ (mod 9)

The reason for this is that 10 is congruent to 1 modulo 9, which means that any power of 10 is also congruent to 1 modulo 9. Therefore, we can replace 10ⁿ by 1ⁿ in the above expression without changing its congruence modulo 9.

Now, notice that each digit dᵢ can be written as a multiple of 9 plus a remainder rᵢ, such that 0 ≤ rᵢ ≤ 8. In other words:

dᵢ = 9 x qᵢ + rᵢ, where qᵢ is the quotient of dᵢ divided by 9.

Substituting this in the previous expression for N, we obtain:

N ≡ (9 x qₙ + rₙ) x 1ⁿ + (9 x qₙ₋₁ + rₙ₋₁) x 1ⁿ⁻¹ + ... + (9 x q₁ + r₁) x 1 + (9 x q₀ + r₀) (mod 9)

Expanding the products and using the fact that 9 is congruent to 0 modulo 9, we get:

N ≡ rₙ x 1ⁿ + rₙ₋₁ x 1ⁿ⁻¹ + ... + r₁ x 1 + r₀ (mod 9)

But the right-hand side of this expression is precisely the sum of the remainders of the digits of N when divided by 9, which is the same as the sum of its decimal digits modulo 9. Therefore, we have shown that N is congruent to the sum of its decimal digits modulo 9, as required.

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Complete Question:

Prove that every natural number N is congruent to the sum of its

decimal digits mod 9.

Answer:

step 1. The volume of a cylinder (V) = (pi)R^2(h).

step 2. if the volume of a similar cylinder is 88ft^3 with R =2ft

step 3. then the cylinder with R = 5 would be (5/2)^2 bigger.

step 4. the volume of figure A is 88(5/2)^2

step 5. V = 88(5/2)^2 = 550ft^3.

Answer:

[See Below]

Step-by-step explanation:

3/4 = 0.75

1/3 = 0.333..

5/8 = 0.625

Largest to Smallest: 3/4, 5/8, 1/3

The value of  tan(45°+Θ) after using trigonometric ratio is  

1+tanΘ/ 1-tanΘ.

What is trigonometric ratios?

   There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here the given,

=> tan(45°+Θ)

Now using formula ,

=> tan(a+b) = \(\frac{tan a+tan b}{1-tan a*tanb}\)

=> tan(45°+Θ)= (tan 45°+tanΘ)/(1-tan45°*tanΘ)

We know that tan 45°=1 then ,

=> tan (45°+Θ)= 1+tanΘ/ 1-tanΘ

Hence the formula for  tan (45°+Θ) is  1+tanΘ/ 1-tanΘ.

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The solution of the system of equations is (2, 1).

Here we have the system of equations:

y = 2x - 3

y = -x + 3

To solve the system of equations graphically, we need to graph both of these lines in the same coordinate axis and then find the point where the lines intersect.

That point will be the solution of the system.

On the image at the end you can see the graph of the system of equations, there we can see that the solution is (2, 1).

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Answer:

answer is 6718464.......

Answer:

1679619

Step-by-step explanation:

. 。 • ﾟ 。 .

. . 。 。 .

. 。 ඞ 。 . • •

ﾟ Red was not An Impostor. 。 .

' 1 Impostor remains 。

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The simple linear regression model is given by yi = β0 + β1xi + εi, where β0 is the intercept, β1 is the slope, xi is the predictor variable, yi is the response variable, and εi is the error term. These are the least squares coefficient estimates for the simple linear regression model.

The goal of least squares regression is to find the values of β0 and β1 that minimize the sum of the squared residuals.
To find the least squares coefficient estimates, we need to minimize the sum of the squared residuals. The residual is the difference between the observed value of yi and the predicted value of yi. The predicted value of yi is given by β0 + β1xi. Therefore, the residual can be written as yi - (β0 + β1xi).
The sum of squared residuals is given by:
Σi=1n (yi - β0 - β1xi)²
To find the values of β0 and β1 that minimize this sum, we take the partial derivatives with respect to β0 and β1 and set them equal to zero:
∂/∂β0 Σi=1n (yi - β0 - β1xi)² = 0
∂/∂β1 Σi=1n (yi - β0 - β1xi)² = 0
Solving these equations yields:
βˆ 0 = ¯y − βˆ 1x
and
βˆ 1 = Pn i=1(xi − x¯)(yi − y¯) / Pn i=1(xi − x¯)²
where y¯ = 1 n Pn i=1 yi and x¯ = 1 n Pn i=1 xi. These are the least squares coefficient estimates for the simple linear regression model.

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Answer: They lose $250000 per year over the three years!

Step-by-step explanation:

First, find the total profit for the two following years

Take $625000 times 2 = $1250000

Next, find the total they made in 3 years

Take -$2000000 of the first year + $1250000 = - $750000

Now we find their average profit per year

Take -$750000 divided by 3 = -$250000

They lose $250000 per year over the three years

Answer:

false

Step-by-step explanation:

x=4andy=7

2×4+7 isnot equal to 7

Answer:

Tue equation is

y=2x+7

So, the answer is

(2,7)

And (4,7) is wrong

The correlation coefficient (r) for the pore volume and COA is found to be approximately 0.99.

The degree and direction of the linear link between two variables is measured by the correlation coefficient, abbreviated as r. In this case, we are interested in finding the correlation coefficient between the pore volume and the coefficient of absorption (COA) for the given data.

Using the provided data, we can calculate the correlation coefficient by applying the appropriate formula. The correlation coefficient ranges between -1 and 1, where a value close to -1 indicates a strong negative linear relationship, a value close to 1 indicates a strong positive linear relationship, and a value close to 0 indicates a weak or no linear relationship.

By performing the calculations based on the given data, the correlation coefficient (r) for the pore volume and COA is found to be approximately 0.99 (rounded to 2 decimal places). This indicates a strong positive linear relationship between the two variables.

The high correlation coefficient suggests that as the pore volume increases, the COA also tends to increase, or vice versa. The relationship between these variables is nearly perfectly linear, indicating a strong association between the amount of water absorbed by the brick and its pore volume.

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The complete question is:

The coefficient of absorption (COA) for a clay brick is the ratio of the amount of cold water to the amount of boiling water that the brick will absorb. The article “Effects of Waste Glass Additions on the Properties and Durability of Fired Clay Brick” (S. Chidia and L. Federico, Can J Civ Eng, 2007:1458-1466) presents measurements of the (COA) and the pore volume (in cm3/g) for seven bricks. The data are:

Pore volume COA

1.750 0.80

1.632 0.78

1.594 0.77

1.623 0.75

1.495 0.71

1.465 0.66

1.272 0.63

Find the correlation coefficient, r. Round your answer to 2 decimal places.

Answer:

8 times 2a - 8 times 7

Step-by-step explanation:

The answer: 16a - 56

Answer:

16a-56

Step-by-step explanation:

8(2a-7)

We can write it as:-

=>8(2a)-8(7)

=>16a-56

Kayla would ultimately spend $210.91 + $14.76 = $225.67 for all the clothing items, including sales tax.

To determine if Kayla's budget will be enough to purchase all the clothing items listed after sales tax is applied, we need to calculate the total cost of the items first.

The cost of 2 T-shirts would be 2 x $9.98 = $19.96.

The cost of 3 dresses would be 3 x $24.99 = $74.97.

The cost of 1 pair of pants would be $25.99.

The cost of 1 pair of shoes would be $89.99.

Therefore, the total cost of the clothing items is $19.96 + $74.97 + $25.99 + $89.99 = $210.91.

Next, we need to add the sales tax rate of 7% to the total cost to find the final price that Kayla would pay.

7% of $210.91 = $14.76

Therefore, the final price that Kayla would pay for all the clothing items, including sales tax, is $210.91 + $14.76 = $225.67.

Since Kayla's budget is $200, she would not have enough money to purchase all of the clothing items listed after sales tax is applied.

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Answer:

Absolute value is 1 1/2

Step-by-step explanation:

Answer:

2 1/4

Step-by-step explanation:

Absolute value is the distance a point is from 0. Since the point is at 2 1/4, the absolute value is 2 1/4.

-hope it helps

Answer:

9/14

Step-by-step explanation:

3/7  divided by 2/3?

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:  3/7 divided by 2/3 = 3/7 multiplied by 3/2

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

3/7 x 2/3 = 9/14

Answer:

9/14

Step-by-step explanation:

3/7 × 3/2

top part of fractions

3×3 = 9

bottom part of fractions

2×7 = 14

9/14 cannot be simplified so final answer is

9/14

Answer:

403+40√3 ft^2

Step-by-step explanation:

(20+√3)(20+√3)

400+20√3+20√3+3

403+40√3

Hopes this helps please mark brainliest

Answer:

It's A

Step-by-step explanation:

I took the assignment :)

Answer: 5+10=15

Step-by-step explanation:

Answer:

10+5=15

Step-by-step explanation:

there is a nother way to get 15. 5+5=10+5=15

Answer:

10²

Step-by-step explanation:

assume you typed 10.4 million

so 10³/10.4 ≈ 10²

Let's write the given sum using sigma notation. The given sum is \( 8+7+6+\ldots+5 \).Sigma notation is a shorthand way of writing the sum of a series. The notation is ∑a_n=a_1+a_2+…+a_n, where n is the number of terms in the series and a_n represents the nth term of the series.

There are 4 terms in the series. So, n = 4.Let's find the first term of the series. a1 = 8.The series is decreasing by 1. So, the common difference is -1.The nth term of the series can be found using the formula a_n = a1 + (n - 1)d, where d is the common difference. a_n = a1 + (n - 1)d  \[\Rightarrow a_n = 8 + (n - 1)(-1) = 9 - n\]Using sigma notation, we can write the given sum as: \( \sum_{n=1}^{4} (9-n) \)Now let's write the sum using sigma notation: \( -3-12-48+\ldots-12288 \)First, we need to find the number of terms in the series. Notice that each term is being multiplied by -4.

Therefore, we can write -12288 as (-4)^7 * 3. Hence, we have a total of 8 terms. So, n = 8.Let's find the first term of the series. a1 = -3.The series is decreasing by -4.

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A) The null and alternative hypotheses are:

B We can perform a two-sample t-test with equal variances to test the hypothesis. Using a statistical software or calculator, the test statistic is:

t = 1.4636, degrees of freedom = 14, and p-value = 0.0832

C) Since the p-value (0.0832) is greater than the significance level (0.01), we fail to reject the null hypothesis.

The null hypothesis is that there is no difference between the mean number of bacteria per cubic foot in carpeted rooms and uncarpeted rooms. The alternative hypothesis is that the mean number of bacteria per cubic foot is higher in carpeted rooms than in uncarpeted rooms.

The two-sample t-test with equal variances is appropriate because we are comparing the means of two independent samples of continuous data that are approximately normally distributed. The test statistic is t = 1.4636, which measures how many standard errors the sample means are from each other.

Therefore, there is not significant evidence at the alpha equals 0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. The appropriate conclusion is: do not reject H0.

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Answer:

Step-by-step explanation:

Answer:

The range of this quadratic function is

-infinity < y ≤ 2.

Answer:

the last one

Step-by-step explanation:

Answer: The answer is the last graph.

Step-by-step explanation:

The first graph's difference is not a constant ratio.

The 2nd is multipled first by -5, then 5. Therefore wrong.

The third's difference is changing: (4,8,16...._) It would have to be always 4 if it was a linear.

The last one has the same increase every time.

The value of the expression (8.4 × 10^-3) × (7 × 10^-2) is 5.88 × 10^-4.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.

The expression is given as:

(8.4 × 10^-3) × (7 × 10^-2)

= 0.0084 × 0.07

= 0.000588

= 5.88 × 10^-4

The value of the expression is 5.88 × 10^-4.

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Answer:

  v = 8i +3j

Step-by-step explanation:

The components of the linear form of a vector are found by subtracting the coordinates of the initial point from those of the terminal point.

__

  v = (16, 11) -(8, 8) = (16 -8, 11 -8) = (8, 3)

As a sum of unit vectors, this is ...

  v = 8i +3j

Answer:

8 m

Step-by-step explanation:

300/5=60

60/7.5=8

Answer:

n/4-9 +3

Step-by-step explanation:

to answer this question we have to analyze the information given.

The quotient of a number means the result of the division of 2 numbers.

In this case the numbers are: a number (n) and 4 . n/4

Nine less than that quotient means we have to subtract 9 to the quotient.

n/4-9

Increase by three: we simply have to add 3

n/4-9 +3

Feel free to ask for more if needed or if you did not understand something.

UPDATED:

Plato users: answer is now A:

"The 3rd nap is the least consistent in duration because its

standard deviation is the highest."

they just shuffled the answers, the answer choice itself is still the same, just a dif letter choice

< 26 / Jan / 2022 >

The correct answer is the last one, that the 3rd nap is the least consistent in duration because its standard deviation is the highest.

Standard deviation is a measure of variation from the mean; it tells how different values are from the mean.  

We have given that,

A mother tracks the duration of her baby's three daily naps for a few weeks. The mean time, in minutes, and the standard deviation, SD, for each nap are recorded in the table below.

Now, For that nap to have a higher standard deviation means that its values were on average more different from the mean than the others.

Thus, The correct answer is the last one, that the 3rd nap is the least consistent in duration because its standard deviation is the highest.

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