Use the graph of the function to estimate the interval on which the function is decreasing.Enter your answer in interval notation.Enter any values to one decimal place.

Margin of error:

For the given data collected

Explanation

a vectors makes a rigth angle to the x-positve axis , so

so, the x coordinate is adjacent side and the y-coordinate becomes into the opposite side, then we can use a trigonometric function that relates those values,it is

hence

Step 1

a)

let

replace and solve for the angle

so,

a)Blank1: 30.964

Step 2

b)

let

replace and solve for the angle

so,

b)Blank2:128.660

Step 3

c)

replace and solve for the angle

so,

c)Blank3:-45 °

Step 4

d)

replace and solve for the angle

so,

direction

graph

d)Blank4: 194.036

I hope this helps you

Determine the slope of line l passes through points (6,-14) and (2,-4).

The line m is parallel to line l and parallel line have equal slope. So slope of line m is equal to -5/2.

Option 3 is correct.

The first step is to find the unit price of each seller. We were told that Staples sells folders in packs of 12 for 4.80. It means that the price per folder is

4.80/12 = 0.4 per folder

Also, Office max sells folders in packs of 17 for 7.50. It means that the price per pack is

7.50/17 = 0.44

Since the unit rate of Staples is low, then Staples has the better deal

The highest value is the highest positive integer, which is 3720.

The lowest value is the negative value, -92.

To obtain the difference between the two, subtract -92 from 3720. thus we have the following:

Add the additive inverse of -92 to 3720.

Given data:

The given coordinates of Rhombus are A(1,0), B(6,-2), C(8,-7), and D(3,-5).

The coordinate of a point after 90 degrees counterclockwise rotation is,

The final coordinate of Rhombus are,

Thus, the final coordinate of Rhombus are A'(0,1), B'(2, 6), C'(7, 8) and D'(5, 3).

Answer:

ohhh that one is hard but i think is ur mom

Step-by-step explanation:

i wanted to wast y0our time but hopefully you get the answet

we get that

To round the number

2.8962 to the nearest hundredth

First check the digit whose place value is hundredth

The digit is 9

You will either round it up or down depending on the next digit immediately after it which is called the decider

If the decider is from 0-4 then we round the number down

If the decider is from 5 -9 then we round the number up

The decider is 6 so we are rounding the number up

2.8962 ≈ 2.90 to the nearest hundredth

When the 9 increases to ten, we can't write 10 down so we write 0 and add 1 to 8 which makes it 9

Answer:

9

Step-by-step explanation:

By Evaluating the Compound Interest, we come to know that Rajesh will have enough money in the account to cover all of the required loan payments.

The Principal Amount(P) = $30,000

Rate of Interest (r) = 2.16 %

Time(t) = 10 years

Number of Times it is Compounded in a year(n) = 12

Now, we have

[tex]A =P(1+\frac{r}{100n}) ^{nt}[/tex]

Putting all the values, we evaluate the amount,

[tex]A =30,000(1+\frac{2.16}{100*12}) ^{12*10}\\\\A = 30,000 * 1.240\\A = 37,225.84[/tex]

Hence, the Amount after Compound Interest = $37,225.87

Now, The loan amount that he pays = 300 *12*10 = $ 36,000

Yes, he will have enough money in the account to cover all of the required loan payments.

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x,y) ---------> (2/3x, 2/3y)

1) For that dilation, we always start from the pre-image. In this case, the ABC is the bigger one

So taking one point of that triangle as an example.

C(9,3)

And one of that image

C'( 6,2)

Dilating from C to C' all other points follow that same rule.

2) This leads us to conclude

Pre image Image

(x,y) ---------> (2/3x, 2/3y)

A trapezium has only 4 sides. This rules out option A

A trapezium has only one pair of parallel sides.

For option c, it is a parallelogram because it has 2 pairs of parallel sides.

For option d, it has no pair of parallel sides.

Thus, the correct option is B

To solve for z, we proceed as follows:

Now, we simplify the expression on the right-hand side of the equation as follows:

Now, we simplify the expression on the left-hand side of the equation as follows:

Now, since we have both expressions on the left and right hand sides to have a base of 4, we can simply equate their indices, as follow:

Now, we collect like terms:

Answer:

c

Step-by-step explanation:

SOLUTION

This is a length of arc problem.

The formula for finding the length of an arc is:

r=TR=PT=11ft

The final answer is 31.47ft.

Given the ordered pair:

(8, 5)

Let's find the ordered pair that represents a point on the same graph assuming this is a graph of a proportional relationship.

Here, we have:

(x, y) ==> (8, 5)

Since this is a graph of a proportional relationship, let's find the constant of proportionality.

We have:

This means when x is 1, y is 5/8.

Thus, the ordered pair that also represents a point on the same graph is:

ANSWER:

As we can assume the relationship is directly proportional, we have to build the proportion and do the cross product. So:

She needs 3 nights

substituteGiven:-

To find the quadratic equation.

So now we use the formula,

So now we subtitute the points and find the value of a,b,c. So we get,

Also,

Also,

So now we simplify both equation. so we get,

Now we add both the equations. we get,

Now we find the value of b, so we get,

So the required values are,

The formula for calculating the area of a rhombus is expressed as

Area = 1/2d1d2

where

d1 and d2 are the lengths of the diagonals

From the information given,

Area = 232

d1 = AC = 16

d2 = BD

Thus,

232 = 1/2 x 16 x BD

232 = 8BD

BD = 232/8

BD = 29

ANSWERS

(a) 7.61 USD

(b) 1247.98 MXN

EXPLANATION

We know that on March 8, 2017, 1 USD was worth 19.61 MXN.

(a) To find how many dollars was 149.23 MXN worth on that date, we have to divide this amount by 19.61,

Hence, 149.23 Mexican pesos were worth 7.61 US dollars.

(b) Now, to find how many Mexican pesos were 63.64 USD worth on that date, we have to multiply it by 19.61 instead,

Hence, 63.64 US dollars were worth 1247.98 Mexican pesos.

we have the expressions

3.2^2-1=10.24-1=9.24

10-0.33*2=10-0.66=9.34

therefore

should be joined by a not equal sign to form an inequality

so

9.24 < 9.34

9.24 is less than 9.34

I’ve completed the question.

Would you like me to elaborate on any point?

Complementary angles mean that they add up to 90.

Thus, we can write:

We can use algebra to find x:

To find measure of the individual angles, A and B, we simple plug in 7 into x of the expressions of A and B.

Angle A:

7(7) + 4 = 53 degrees

Angle B:

4(7) + 9 = 37 degrees

The number of students attending the field trip is 304 and the number of adults is 114.

From the question, we are to determine the number of students and adults attending the field trip.

From the given information,

"The ratio of the number of adults to the number of students at a field trip has to be 3:8"

Let the number of students be x and the number of adults be y

Thus,

y/x = 3/8

8y = 3x           ------------- (1)

Also,

There are 190 more students on the trip than there are adults

That is,

x - y = 190

Therefore,

x = 190 + y      -------------- (2)

Substitute into equation

8y = 3x

8y = 3(190 + y)

8y = 570 + 3y

8y - 3y = 570

5y = 570

y = 570/5

y = 114

Thus, the number of adults is 114

Substitute the value of y into equation (2)

x = 190 + y

x = 190 + 114

x = 304

Hence, the number of students is 304

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52% of 42 is 21.84 rounded to the nearest whole number is 22.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

We know 52% of 42 can be numerically expressed as,

(52/100)×42.

= 21.84.

Now, 21.84 rounded to the nearest whole number is 22.

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Answer:

54 square units

Explanation:

First, divide the composite figure into common plane shapes as shown below:

Thus, we have two plane shapes:

• A triangle with a base of 10 units and a height of 6 units.

• A rectangle with a length of 6 units and a height of 4 units.

Therefore:

The area of the composite figure is 54 square units.

We have that the solutions of the system are

So we are going to check which of the answers give that answer, we are going to try with A fisrt

So with A, the solutions are the same, so we have that the answer is A.

Given that the chemistry teacher needs to mix a 20% salt solution with an 80% salt solution to make 15 quarts of a 40% salt solution.

Let be "x" the number of quarts of 20% salt solution the teacher should mix to get the desired result, and "y" the number of quarts of 80% salt solution the teacher should mix to get the desired result.

You can write the following System of Equations using the information provided in the exercise:

In order to solve the exercise, you can use the Substitution Method:

1. Solve the second equation for "y":

2. Substitute the new equation into the first equation and solve for "x":

3. Substitute the value into the second original equation and solve for "y":

Hence, the answer is:

• 20% salt solution:

• 80% salt solution:

A formula that tells the amount of bacteria in the bottle is Generation time (G) is defined as the time (t) per generation (n is number of generations).

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The square root property to solve the quadratic equation;

is given as;

The ratio of spending to savings needs to be 7:3.

The actual spending ratio is 3,975.20 : 1,248.00.

In order to reach the goal, the actual spending ratio must the lower than the decided spending ratio.

3,975.20 : 1,248.00 < 7:3.

Dividing the ratios:

3.18 < 2.33

Since 2.33 is not greater than 3.18, they will not reach their goal at this rate.