On the coordinate grid, the graph of y = RootIndex 3 StartRoot negative x minus 1 EndRoot is shown. It is a reflection and translation of y = RootIndex 3 StartRoot x EndRoot. What is the range of the graphed function?

Answer:

The predicted score for the dependent variable will be of 198,454.4.

Step-by-step explanation:

Equation of a regression line:

The equation of a regression line has the following format:

\(y = ax + b\)

In which a is the slope and b is the intercept. x is the independent variable while y is the dependent variable.

A certain regression line equation has the slope equal to 326.07 and an intercept that is equal to 8.19.

So \(y = 326.07x + 8.19\)

What will be the predicted score for the dependent variable if the independent variable is 608.6?

y when x = 608.6. So

\(y = 326.07*608.6 + 8.19 = 198454.4\)

The predicted score for the dependent variable will be of 198,454.4.

The value of angle S and angle R is 95⁰ and 110⁰ respectively.

The value of angle S and angle R is calculated as follows;

11y + 7y = 180 (opposite angles of cyclic quadrilateral are supplementary)

18y = 180

y = 180/18

y = 10

(3x - 5) + (3x + 5) = 180 (opposite angles of cyclic quadrilateral are supplementary)

6x = 180

x = 180/6

x = 30

Angle S = 3x + 5

= 3(30) + 5

= 95⁰

Angle R = 11y

= 11 x 10

= 110⁰

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Answer:

x > -3

Step-by-step explanation:

-4x+6>18   (take 6 to the other side)

-4x>18-6

-4x>12  divide both sides by -4

x> -3

Answer:

x > -3

Step-by-step explanation:

-4x+6>18   (take 6 to the other side)

-4x>18-6

-4x>12  divide both sides by -4

x> -3

Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

What is measurement?

An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.

Given:

Elena has a pet parakeet that weighs 6 when measured in one unit and

170 when measured in a different unit.

We have to find the correct units from grams and ounces for these.

We know that, 1 ounce is greater than 1 gram.

1 ounce = 28.3495 grams

Multiply both sides by 6.

6 ounces = 170.097 grams

Approximate the values to the nearest whole number.

6 ounces = 170 grams

Therefore, 6 ounces = 170 grams.

Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

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Answer:(0,8), (1,10), (-3,9)

Step-by-step explanation:

Answer:

(2,5)

Step-by-step explanation:

just took the test

Answer:

The  number of rainfalls is \(n =96\)

The answer to the second question is  no it will not be valid this because from the question we are told that the experiment require one pH reading per rainfall so getting multiply specimens(used for the  pH reading) from  one rainfall will make the experiment invalid.

Step-by-step explanation:

from the question we are told that

    The  standard deviation is  \(\sigma = 0.5\)

     The  margin of error is  \(E = 0.1\)

Given that the confidence level is  95%  then we can evaluate the level of significance as

                  \(\alpha = 100 - 95\)

                  \(\alpha = 5 \%\)

                 \(\alpha =0.05\)

Next we will obtain the critical value of \(\frac{\alpha }{2}\) from the normal distribution table , the value is  \(Z_{\frac{\alpha }{2} } = 1.96\)

Generally the sample size is mathematically represented as

           \(n = [\frac{Z_{\frac{\alpha }{2} * \sigma }}{ E} ]^2\)

substituting values

             \(n = [\frac{1.96 * 0.5 }{ 0.1} ]^2\)

            \(n =96\)

The answer to the second question is  no the validity is null this because from the question we are told that the experiment require  one pH reading per rainfall so getting multiply specimens(used for the  pH reading) from  one rainfall will make the experiment invalid

Answer:

875,000 x 100 = 875 x __100000__

Answer: 100000

Step-by-step explanation: 875,000 x 100 = 875,00000 and not just add the 0s to number 1 and thats ur answer

Answer:

70 + 52 = 122

Step-by-step explanation:

180 - 122 = 58

58

Answer:

\(90^{\circ}\). In other words, these two vectors are perpendicular (orthogonal) to one another.

Step-by-step explanation:

Let \(\|a\|\) and \(\|b\|\) denote the magnitudes of vector \(a\) and vector \(b\). The dot product between these two vectors is represented as \(a^{T}\, b\).  Let \(\theta\) denote the angle between the two vectors. The cosine of this angle would be equal to:

\(\begin{aligned}\cos(\theta) &= \frac{a^{T}\, b}{\|a\| \|b\|}\end{aligned}\).

The dot product between vector \(a = \langle 1,\, 2\rangle\) and \(b = \langle 1,\, -1/2\rangle\) is:

\(\begin{aligned}a^{T}\, b &= {\begin{bmatrix}1 \\ 2\end{bmatrix}}^{T}\, \begin{bmatrix}1 \\ -1/2\end{bmatrix} \\ &= 1 \times 1 + 2 \times \left(-\frac{1}{2}\right) \\ &= 0\end{aligned}\).

The magnitudes of the two vectors are:

\(\begin{aligned}\| a \| &= \sqrt{1^{2} + 2^{2}} \\ &= 5\end{aligned}\).

\(\begin{aligned}\| b \| &= \sqrt{1^{2} + \left(-\frac{1}{2}\right)^{2}} \\ &= \frac{1}{2}\, \sqrt{5}\end{aligned}\).

Therefore:

\(\begin{aligned}\cos(\theta) &= \frac{a^{T}\, b}{\|a\| \|b\|} \\ &= \frac{0}{5 \times (\sqrt{5} / 2)} \\ &= 0\end{aligned}\).

Among all angles between \(0^{\circ}\) and \(180^{\circ}\), the only angle with a cosine of \(0\) is \(90^{\circ}\). Therefore, the angle between vector \(a\) and vector \(b\) must be \(90^{\circ}\!\). Hence, these two vectors are perpendicular to one another.

for the first one 225÷5=45. For the second one to do 363÷5 you have to decrease 363 to the closest number divisible by 5 and that number is 360 so 360÷5=72 then for the remaining 3 instead of doing 3÷5 you can do 30÷5 then bring the decimal point 1 digit forward so 30÷5=6 then when you bring the decimal point forward its 0.6 then add both and its 72.6. for the third one its the same thing so 372÷3=124 but since you cant do 10÷3 you have to use fractions so 1÷3 means 1/3 then add both of them together and its 124 1/3

Answer: infinitely many

a. Monthly payment for the bank's car loan is $407.67

b. Monthly payment for the savings and loan association's car loan is $315.99

c. Total amount paid would be $2,035 less for the bank's car loan than for the savings and loan association's car loan.

The cost of borrowing money, usually expressed as a percentage of the amount borrowed, is what a lender charges a borrower to use their money. This cost is known as an interest rate.

(a) To find the monthly payment for the bank's car loan, we can use the formula for the present value of an annuity:

\(PV = PMT * \frac{1 - (1 + \frac{r}{n})^{(-n*t)}}{\frac{r}{n} }\)

putting the given values,

⇒ \(21000 = PMT * \frac{1 - (1 + \frac{0.065}{12})^{(-12*5)}}{\frac{0.065}{12} }\)

Solving for PMT, we get:

PMT = $407.67

Therefore, the monthly payment for the bank's car loan is $407.67

(b) To find the monthly payment for the savings and loan association's car loan, we can use the same above formula:

where PV is still $21,000, PMT is the monthly payment, r is still 0.065, n is still 12, but t is now 7 years x 12 months/year = 84 payments.

putting the given values,

\(21000 = PMT * \frac{1 - (1 + \frac{0.065}{12})^{(-12*7)}}{\frac{0.065}{12} }\)

Solving for PMT, we get:

PMT = $315.99

Therefore, the monthly payment for the savings and loan association's car loan is $315.99.

(c) Bank's car loan: $407.67 x 60 = $24,460.20

Savings and loan association's car loan: $315.99 x 84 = $26,495.16

Therefore, the bank's car loan would have the lowest total amount to pay off, by: $26,495.16 - $24,460.20 = $2,034.96

Therefore, the total amount paid would be $2,035 less for the bank's car loan than for the savings and loan association's car loan.

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If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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Answer:

x = - 2 , 5

Step-by-step explanation:

to find the roots let y = 0 , that is

x² - 3x - 10 = 0 ← in standard form

(x + 2)(x - 5) = 0 ← in factored form

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 5 = 0 ⇒ x = 5

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

\(x > 2\)

Step-by-step explanation:

\(–1 > –2(x – 4) – 5(4x – 7)\)

\(–1 > –2x + 8 –20x + 35\)

\(–1 > - 22x + 43\)

\( - 1 - 43 > - 22x\)

\( - 44 > - 22x\)

\( \frac{ - 44}{ - 22} < \frac{ - 22x}{ - 22} \)

\(2 < x\)

\(x > 2\)

The value of the function at x = 9.2 will be 5.08. Then the correct option is B.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The function is given below.

y = - 3x² + 25x + 29

The value of the function at x = 9.2 is calculated as,

y = - 3(9.2)² + 25(9.2) + 29

y = - 253.92 + 230 + 29

y = 5.08

The value of the function at x = 9.2 will be 5.08. Then the correct option is B.

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Answer:

Results will be out: 854/ 125 (Please note that the result is a decimal number)

Step-by-step explanation:

If you need me to explain the steps clearly, please let me know.

I'm not sure but hope it helps.

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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288 ounces of water are left in the water tank.

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots

Here, we have

Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.

1 gallon = 128 ounces, 2 gallon = 256 ounces

6 bottles × 16 ounces = 96 ounces

2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces

5 gallon = 5 × 128 = 640 ounces

= 640 - 352 = 288 ounces

Hence,  288 ounces of water are left in the water tank.

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Answer:

3

Step-by-step explanation:

Plug in 6 for the y value. Solve for x.

Answer:

x=3 (3,6)

Step-by-step explanation:

Y = 15 - 3x

Y = 6

6= 15-3x

-15 from each side

-9 = -3x

devide each side

ny -3

x=3

(check)

15-3(3) = 6

The line skewed to AT is HB

As a general rule, skew lines are nonparallel lines that do not intersect

This means that the lines are in different planes

From the given figure, we can see that lines HB and AT do not intersect and they are not parallel

Hence, the line skewed to AT is HB

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Answer:

The answer to the equation is 7x.

Step-by-step explanation:

First, add the beginning two values

8x + 4x =

12x

Now, add 12x to 2x.

12 + 2 = 14

14x

14x/2x

Now, we need to simplify it more.

14x/2x =

7x

So, the answer is 7x.

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{8x + 4x + 2x}{2x}}\)

\(\large\text{COMBINE the LIKE TERMS}\)

\(\mathsf{= \dfrac{(8x + 4x + 2x)}{(2x)}}\)

\(\mathsf{= \dfrac{8x + 4x + 2x}{2x}}\)

\(\mathsf{= \dfrac{12x + 2x}{2x}}\)

\(\mathsf{= \dfrac{14x}{2x}}\)

\(\large\text{CANCEL out the x in each of the numbers because we do \bf not}\\\\\large\text{need them anymore}\)

\(\mathsf{= \dfrac{14x}{2x}}\)

\(\mathsf{= \dfrac{14}{2}}\)

\(\mathsf{= 14\div2}\)

\(\mathsf{= 7}\)

\(\huge\text{Therefore your answer should be:}\)

\(\huge\boxed{\mathsf{7}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

30% of 40 is 12, 40-12=28, the answer is 28.

To find the slope of the curve, first differentiate the equation of the curve and substitute the value of x in the result

The slope of the curve is the change in y coordinates with respect to the change in x coordinates of the line

To find the slope of the curve at a given point

First differentiate the given equation of the curve with respect to x

That is dy / dx.

The derivative of the equation of the curve  is the slope of the curve.

In next step substitute the value of x in the slope of the curve

The result will be the slope of the curve at a given point

Therefore, these are the steps to find the slope of the curve

I have answered the question in general, as the given question is incomplete

The complete question is:

How to find the slope of a curve at a given point?

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The coordinates of p so that p partitions segment ab in the part-to-whole ratio of 1 to 5 with a(-9, 3) and b(1, 8) is (-44/6, 23/6).

To find the coordinates of point P, we can use the following formula:

P = ( (5 x Ax + 1 x Bx) / 6 , (5 x Ay + 1 x By) / 6 )

Here, Ax and Ay are the x and y coordinates of point A, and Bx and By are the x and y coordinates of point B. By plugging in the values we have, we get:

P = ( (5 x (-9) + 1 x 1) / 6 , (5 x 3 + 1 x 8) / 6 )

P = ( (-45 + 1) / 6 , (15 + 8) / 6 )

P = ( -44/6 , 23/6 )

So the coordinates of point P are (-44/6, 23/6).

To check if we got the right answer, we can measure the distance between A and P and the distance between P and B, and make sure that the ratio is indeed 1 to 5. We can use the distance formula for this:

Distance between A and P:

√( (-9 - (-44/6))² + (3 - 23/6)² )

= √( (35/6)² + (5/6)² )

= √( 1225/36 + 25/36 )

= √( 1250/36 )

= 5/6 x √(50)

Distance between P and B:

√( (1 - (-44/6))² + (8 - 23/6)² )

= √( (55/6)² + (41/6)² )

= √( 3025/36 + 1681/36 )

= √( 4706/36 )

= 5/6 x √(94)

The ratio of the distance between A and P to the distance between P and B is:

(5/6 x √(50)) / (5/6 x √(94)) = √(50/94)

Simplifying this gives us:

√(50/94) = √(25/47)

The ratio of the distances is indeed 1 to 5, which confirms that our answer for the coordinates of P is correct.

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