Please help 200*50/-9+564*-4= ? I

You are referring to the thousandths spot.

1.00(0)000001

So, between any given number n to n.01 there are 10 numbers.

n.001, n.002, n.003, ..., n.01

Final answer:

To find the length of QR, we used the Pythagorean theorem on triangle PNQ to find NQ, then added it to PR, resulting in QR measuring 53 inches.

Explanation:

To find the length of side QR in △PQR, we can apply the Pythagorean theorem to one of the right triangles formed by the altitude PN. The triangle we'll use is △PNQ, where NQ is part of QR, and PN is given as 15 in.

Firstly, we can calculate NQ using the Pythagorean theorem:

PN² + NQ² = PQ²

15² + NQ² = 39²

NQ² = 39² - 15²

NQ² = 1521 - 225

NQ² = 1296

NQ = √1296

NQ = 36 in

Since PR = 17 in, we can conclude that NR is the difference between PR and NQ:

NR = PR - NQ

NR = 17 - 36

NR = -19 in

The negative value indicates a mistake since lengths cannot be negative. Therefore, we should use the entire length of PQ instead:

QR = NQ + NR

QR = 36 + 17

QR = 53 in

Thus, side QR measures 53 inches.

To find the rate of change, find the difference of people at the park at each given hour and divide that by the total number of hours in the given time frame.

Early Time interval:

Hour 1 there was 55 people.

Hour 3 there was 135 people.

The rate of change is 135 - 55 / 3-1 = 80/2 = 40 people per hour.

Late time interval:

Hour 3 had 135 people.

Hour 5 had 175 people.

The rate of change is 175 - 135 / 5-3 = 40/2 = 20 people per hour

20 is less than 40, so the late time interval had the smallest rate change.

Answer: The value of [tex]x^2+y^2[/tex] is 140

Step-by-step explanation:

We are given an expression:

[tex](x-y)^2=100[/tex]

And,

xy = 20

Using the identity:

[tex](a-b)^2=a^2+b^2-2ab[/tex]

Solving the expression:

[tex]x^2+y^2-2xy=100[/tex]

Putting the value of 'xy' in above equation, we get:

[tex]x^2+y^2-2(20)=100\\\\x^2+y^2=100+40\\\\x^2+y^2=140[/tex]

Hence, the value of [tex]x^2+y^2[/tex] is 140

Answer:

See below.

Step-by-step explanation:

The one that looks like the attachment.

It is vertically shortened from f(x) = x^2, so appears wider than f(x) = x^2 does. The vertex is still at (0, 0), it still opens upward, and it remains symmetrical about the y-axis.

[tex]f(x)=\dfrac{1}{2}x^2\\\\for\ x=0\to f(0)=\dfrac{1}{2}(0)=0\to(0,\ 0)\\\\for\ x=\pm1\to f(\pm1)=\dfrac{1}{2}(\pm1)^2=\dfrac{1}{2}(1)=\dfrac{1}{2}\to\left(-1,\ \dfrac{1}{2}\right);\ \left(1;\ \dfrac{1}{2}\right)\\\\for\ x=\pm2\to f(\pm2)=\dfrac{1}{2}(\pm2)^2=\dfrac{1}{2}(4)=2\to(-2,\ 2);\ (2,\ 2)\\\\for\ x=\pm4\to f(\pm4)=\dfrac{1}{2}(\pm4)=\dfraC{1}{2}(16)=8\to(-4,\ 8);\ (4,\ 8)[/tex]

Answer:

B. (5,-2)

Step-by-step explanation:

Plug in X and Y, verify accuracy

Answer:

3

Step-by-step explanation:

For a rectangular prism of dimensions L × W × H, pairs of opposite faces will have dimensions ...

These will be three different sets of dimensions if L, W, and H are all different lengths.

-57

We can collect terms to simplify the arithmetic.

... = a^3(6 +4 -8) +a^10(-1 +1) +a

... = 2a^3 +a

... = a(2a^2 +1)

For a = -3, this is

... -3(2(-3)² +1) = -3(2·9 +1)

... = -3·19 = -57

Answer:

The answer is option C i.e; y=0.9x-45

Step-by-step explanation:

When you substitute the values of x you have to get same values as given in the table

For example: substitute x=50 in the equation y=0.9x-45

Y= 0.9(50)-45

Y= 45-45

Y=0

Answer:

136 miles

Step-by-step explanation:

The map distance is 3.4 times 2 cm, so the road distance will be 3.4 times 40 miles, or 136 miles.

Answer:

each person owe $10.26

Step-by-step explanation:

Six friends go out to lunch and decide to split the bill evenly. The bill comes to $61.56.

Total bill for 6 friends = $61.56

To find bill cost for 1 person we divide the total cost by 6

Bill for each person = [tex]\frac{61.56}{6}= $10.26[/tex]

So each person owe $10.26

Answer:

a) $0.46 per bagel

Step-by-step explanation:

When you are looking for a unit price, you have to divide the price in this instance by the amount of items that you have. For example, here you just have to divide $2.76 by 6 to get $0.46.

Hope I could help! :)

Answer:

3:5

Step-by-step explanation:

We are looking for the ratio of baskets made to baskets attempted

made: attempted

9:15

We can divide each number by 3

9/3: 15/3

3:5

The ratio of baskets made: attempted  is 3:5

The ratio that describes the number of baskets made to the number of baskets attempted by the basketball player is 9 to 15, which simplifies to 3 to 5.

The question pertains to the ratio of successful basket attempts to total attempts made by a basketball player in a game.

In this case, the player successfully made 9 baskets out of 15 attempts.

To express this as a ratio, we simply compare the number of made baskets to the total attempts,

thus the ratio is 9 to 15, which can also be simplified by dividing both numbers by their greatest common divisor, which is 3, resulting in a simplified ratio of 3 to 5.

The best way to plot them is by month.

170 - 110 = $60.

We are supposed to plot in months and the above calculation is in year, convert it into months

60/5 = $5 each month

So, the coordinates would be 0, 110 1, 115 2, 120 3, 125

The month will be in the x axis and your money will be the Y axis 

A suitable y-axis scale to plot spending habits ranging from $110 to $170 would start at $100 and go up to $180, while a good interval for the y-axis would be $10 to allow for clear plotting of values in whole dollars.

To answer the student's question about how to plot spending habits on a coordinate grid:

Answer:

B) 9.2 g

Step-by-step explanation:

The balance measures only to 0.1 g.

So, the best measurement Hailey can make is to the nearest 0.1 g.

The most precise measurement she can make is 9.2 g.

The accuracy depends on the balance and on how carefully she  works.

If the function has a ∪ shape (opens up), then it only goes so low—has a minimum value.

Any even-degree function with a positive leading coefficient will open up, so have a minimum. Your function is degree 2 (even) and has a leading coefficient of 3 (positive).

_____

Comment on other polynomial functions

If the leading coefficient of an even-degree function is negative, it will have an inverted-U shape (∩), so will have a maximum.

Any odd-degree function will have a generally rising (/) or generally falling (\) shape, depending on the sign of its leading coefficient. If positive, then rising; if negative, then falling.

Answer:

BE:EC= 1/3

Step-by-step explanation:

Given ABCD is a parallelogram, Point K is such that it belongs to diagonal BD so that BK:DK=1:4.

If we make an extension of AK which meets BS at point E, then using ΔDKA and ΔEKB, we have

∠DKA=∠EKB (Vertically opposite angles)

∠KDA=∠KBE (Alternate interior angles)

∠DAK=∠BEK (Alternate interior angles)

Thus by AAA similarity,ΔDKA≅ΔEKB

⇒[tex]\frac{AD}{BE}[/tex]= [tex]\frac{DK}{BK}[/tex],

Since, AD= BC,therefore

[tex]\frac{AD}{BE}[/tex]= [tex]\frac{BC}{BE}[/tex]= [tex]\frac{4}{1}[/tex]

Now, BC= BE+EC, ⇒[tex]\frac{BE+EC}{BE}[/tex]= [tex]\frac{4}{1}[/tex]

⇒1+[tex]\frac{EC}{BE} = \frac{4}{1}[/tex]

⇒[tex]\frac{EC}{BE}= 3[/tex]

Reciprocating on both the sides, we get

[tex]\frac{BE}{BC} = \frac{1}{3}[/tex]

Option B (cos 29° and sin 61°) contains equivalent trigonometric values, as the angles are complementary and adhere to the identity sin(90° - x) = cos(x).

The question asks us to identify equivalent trigonometric values out of the given pairs. The equivalent values will have the same numerical value if their angles are complementary (i.e., they add up to 90°) because of the identity sin(90° - x) = cos(x). Considering this, let's evaluate the provided pairs:

A: sin 17° and cos 17° are not complementary, so they are not equivalent.

B: cos 29° and sin 61° are complementary (29° + 61° = 90°), hence equivalent.

C: sin 78° and cos 102° are not complementary, and 102° is greater than 90°, so they are not equivalent.

D: cos 83° and cos 7° are not complementary, but they are both cosines of different angles, so they are not equivalent.

Thus, the pair with equivalent trigonometric values is B: cos 29° and sin 61°.

A. The dollar amout of the markup is found by multiplying the markup rate by the dollar cost. "24% of cost" means "24% × cost". Of course, you know that 24% = 24/100 = 0.24.

... markup = 0.24 × cost = 0.24 × $159 = $38.16

B. The markup is the amount added to the cost to get the selling price. It is the amount by which the cost is marked up.

... selling price = cost + markup = $159.00 +38.16 = $197.16

12 units²

Counting half-squares around the perimeter of the rectangle, we find there are 10. Counting full squares inside the rectangle, we find there are 7. Then the total area is

... (1/2)·10 +7 = 12 square units

_____

Alternate calculation

The long side is the hypotenuse of a right triangle with legs 3, so has length 3√2. The short side is the hypotenuse of a right triangle with legs 2, so has length 2√2. The area is the product of these lengths, so is ...

.. area = (3√2)(2√2) = 6(√2)² = 6·2 = 12 . . . square units

Answer:

21

Step-by-step explanation:

Answer:

200,000 m

Step-by-step explanation:

We will multiply the length of the ant by the number of ants to find out how long the line is.

10 million is 10 with 6 zeros

20 * 10 ^-3   move the decimal 3 places to the left

20. * 10 ^-3  = .02

.02 * 10000000

200000

Answer:

137.2 m³

Step-by-step explanation:

The ratio of volumes is the cube of the ratio of linear dimensions. The larger volume is ...

... V = (7/5)³ × 50 m³ = 2.744 × 50 m³

... V = 137.2 m³

The point (3, 18) on the graph means the snail's position when the time is 3 units of time from the time reference is 18 units of distance from the the reference point for distance.

_____

We cannot conclude anything else. We don't know if the snail is moving (or has moved), or if there are any other points on the graph.

Answer: B) The snail traveled 18 ft in 3 h.

Step-by-step explanation: If you look at the graph they graphed (3, 18) the left side says distance (ft) and the dot is to the right of the 18 so it traveled 18 feet.  At the bottom it says time (h) and the dot above the 3 so it took to travel 8 feet.

Hope This Helped ^_^

Answer:

The very first line has an error.

Step-by-step explanation:

When you are solving the second system of equations for y, you need to subtract 3x from both sides and therefore it should be negative.

3x + y = -9

y = -3x - 9

Since the 3x isn't negative in the first line, there is an error.

Given : The Cost of Laptop in 2007 is $1250

Given : The Cost of Laptop in 2009 is $1100

Decrease in Price of Laptop from 2007 to 2009 : (1250 - 1100) =  $150

A) Percent Decrease in the Price of the Laptop from 2007 to 2009 is :

[tex]\mathsf{\implies \frac{Decrease\;in\;Price\;of\;Laptop\;from\;2007\;to\;2009}{Price\;of\;Laptop\;in\;2007} \times 100}[/tex]

[tex]\mathsf{\implies \frac{150}{1250} \times 100}[/tex]

[tex]\mathsf{\implies 12\%}[/tex]

Given : Decrease in Price of Laptop from 2009 to 2010 = $165

B) Percent Decrease in the Price of the Laptop from 2009 to 2010 is :

[tex]\mathsf{\implies \frac{Decrease\;in\;Price\;of\;Laptop\;from\;2009\;to\;2010}{Price\;of\;Laptop\;in\;2009} \times 100}[/tex]

[tex]\mathsf{\implies \frac{165}{1100} \times 100}[/tex]

[tex]\mathsf{\implies 15\%}[/tex]

The percent decrease in laptop prices, use the formula ((Original Price - New Price) / Original Price) x 100%. The percent decrease from 2007 to 2009 is 12%, and from 2009 to 2010 is 15% with a $165 decrease.

The cost of a laptop computer in 2007 was $1,250. In 2009, the price decreased to $1,100.

A.) To find the percent decrease from 2007 to 2009, you use the formula: Percent decrease = ((Original Price - New Price) / Original Price) x 100%

Substitute the values: ((1250 - 1100) / 1250) x 100% = 12%

Therefore, the percent decrease in the price of the laptop from 2007 to 2009 is 12%.

B.) To find the percent decrease from 2009 to 2010 with a $165 decrease, you apply the same formula: Percent decrease = ((Price in 2009 - Price in 2010) / Price in 2009) x 100%.

Substitute the values: ((1100 - (1100 - 165)) / 1100) x 100% = 15%

Therefore, the percent decrease in the price of the laptop from 2009 to 2010 is 15%.

19.5 inches

Let r represent the length of one of the sections of rope (in inches). Then the total length of the original rope is ...

... 8r +28.9 = 184.9

... 8r = 156 . . . . . . . . . . . . subtract 28.9; next, divide by 8

... 156/8 = r = 19.5

The length of each of the sections is 19.5 inches.

Answer:

[tex]Height=\sqrt{\frac{weight}{\text{body mass index}}}[/tex]

Step-by-step explanation:

We have BMI formula that is body mass index formula which is:

[tex]\text{Body mass index}=\frac{weight}{height^2}[/tex]

Now, we have to arrange the formula for height:

we will rearrange the terms and derive the formula for height in terms of weight and height.

[tex]Height^2=\frac{weight}{\text{body mass index}}[/tex]

Hence, the required result is:

[tex]Height=\sqrt{\frac{weight}{\text{body mass index}}}[/tex]

Answer:

81

Step-by-step explanation:

9girls x 9 boys to play each other

Answer:

6

Step-by-step explanation:

Since the relationship is proportional, when y is increased by a factor of 3 from 7 to 21, so is x—from 2 to 2×3 = 6.