Find the number of digits in the square root of 61504.

Answer:+0.82 and -0.8

Step-by-step explanation:

Answer:

- 3x - 6y

Step-by-step explanation:

Given

(x + 2y)(- 3) ← multiply each term in the parenthesis by - 3

= - 3x - 6y

answer: C. 4/5

Answer:

SX = 20

Step-by-step explanation:

the midsegment of a trapezoid is half the sum of the parallel bases, then

\(\frac{UV+SX}{2}\) = TW , that is

\(\frac{40+SX}{2}\) = 30 ( multiply both sides by 2 to clear the fraction )

40 + SX = 60  ( subtract 40 from both sides )

SX = 20

Answer:

120 kids prefer video games

Step-by-step explanation:

60% is .60

multiply .60 by 200 to get your answer.

.60 × 200 = 120

The given statement "a rational expression is undefined if the numerator is zero" is false because a rational expression is undefined if the denominator is zero, not the numerator.

When the denominator of a rational expression becomes zero, the expression becomes undefined because division by zero is not defined in mathematics.

If the numerator of a rational expression is zero, it does not make the expression undefined. Instead, it results in the value of the expression being zero, regardless of the value of the denominator.

To know more about rational expression:

https://brainly.com/question/30488168

#SPJ4

(a).

36 players = 100%

? = 10%

(36×10) / 100%

= 3.6 gloves for left hand players.

Explanation :- Object needs to be in full form whereas 3.6 would be written as only 3 gloves in full.

Ans: Yes. Total gloves were enough.

(b).

36player gloves = 100%

7 lefties = ?

=700/36 = 19.4%

=19.4444444 as recurring would be,

19 % (nearest to whole percent) DONE ✅.

The area of the parallelogram is sqrt(261).

To find the area of the parallelogram with vertices A(1, 2, 3), B(1, 3, 6), C(3, 8, 6), and D(3, 7, 3), we can use the cross product of two vectors that share a common point.

Let's consider the vectors AB and AC. The vector AB is obtained by subtracting the coordinates of point A from the coordinates of point B:

AB = B - A = (1 - 1, 3 - 2, 6 - 3) = (0, 1, 3).

Similarly, the vector AC is obtained by subtracting the coordinates of point A from the coordinates of point C:

AC = C - A = (3 - 1, 8 - 2, 6 - 3) = (2, 6, 3).

Now, we can calculate the cross product of AB and AC by taking the determinant of the following matrix:

| i   j   k |

| 0   1   3 |

| 2   6   3 |

Expanding the determinant, we have:

i * (1 * 3 - 6 * 3) - j * (0 * 3 - 2 * 3) + k * (0 * 6 - 2 * 1)

= i * (-15) - j * (-6) + k * (0)

= (-15, 6, 0).

The magnitude of the cross product gives us the area of the parallelogram formed by vectors AB and AC. Taking the magnitude:

|(-15, 6, 0)| = sqrt((-15)^2 + 6^2 + 0^2) = sqrt(225 + 36 + 0) = sqrt(261).

Learn more about area here:

https://brainly.com/question/1631786

#SPJ11

Answer:

46mph

Step-by-step explanation:

To find miles per hour all you need to do is divide the miles traveled by hours

322/7 = 46

46mph

Answer:

D

Step-by-step explanation:

y = mx + b

the m is the slope value, which is 3 for this. Auto eliminates everything else.

Hope this helps,

:)))

Answer:

The last one.

Step-by-step explanation: I am not sure if you want the explanation but the formula is slope comes first and then the y intercept. I remember it by thinking that they put the Y intercept as an after thought. (thus it is last.)

Answer:Vented Brake Rotors are common on most modern vehicles. They have a hollow channel between the inner and outer surfaces. This channel (or vent) allows the rotor to shed more heat. This helps to prevent Brake Fade

Step-by-step explanation:

Answer:

that is a lot of pie

Step-by-step explanation:

Answer:

A)  The dimensions of the new triangular deck are:

B)  Area of original deck = 63 square feet
     Area of new deck = 393.75 square feet

C)  The ratio of the area is 4 : 25. This is the square of the scale factor.

Step-by-step explanation:

The given scale is 2 : 5. This means that the ratio of the measurements of the corresponding sides of two objects is 2 to 5. In other words, if one object has a length of 2 units, the corresponding length of the other object is 5 units.  So in this scenario, a 2 : 5 scaled version means that for every 2 foot of the original deck, there is 5 foot of the new deck.

Therefore, if the original base of the triangle is 18 feet, the new base, b, will be:

\(\implies \sf 2 : 5 = 18 : b\)

\(\implies \sf \dfrac{2}{5} = \dfrac{18}{b}\)

\(\implies \sf 2 \cdot b=18 \cdot 5\)

\(\implies \sf b=\dfrac{18 \cdot 5}{2}\)

\(\implies \sf b=45\;ft\)

Similarly, if the original height of the triangle is 7 feet, the new height, h, will be:

\(\implies \sf 2 : 5 = 7 : h\)

\(\implies \sf \dfrac{2}{5} = \dfrac{7}{h}\)

\(\implies \sf 2 \cdot h=7 \cdot 5\)

\(\implies \sf h=\dfrac{7\cdot 5}{2}\)

\(\implies \sf h=17.5\;ft\)

Therefore, the dimensions of the new triangular deck are:

\(\hrulefill\)

The area of a triangle is half of the product of its base and height:

\(\boxed{\sf A=\dfrac{1}{2}bh}\)

Area of the original deck:

\(\implies \sf A=\dfrac{1}{2} \cdot 18 \cdot 7\)

\(\implies \sf A=9 \cdot 7\)

\(\implies \sf A=63\;ft^2\)

Area of the new deck:

\(\implies \sf A=\dfrac{1}{2} \cdot 45\cdot 17.5\)

\(\implies \sf A=22.5 \cdot 17.5\)

\(\implies \sf A=393.75\;ft^2\)

Therefore, the areas of the two decks are:

\(\hrulefill\)

The ratio of the area of the original deck to the area of the new deck is:

\(\implies \textsf{Area original deck}:\textsf{Area new deck}=\sf 63 : 393.75\)

To rewrite the ratio in its simplest form, multiply both sides of the ratio by 16:

\(\implies \sf 63 \cdot 16: 393.75 \cdot 16=1008 :6300\)

Then divide both sides of the ratio by 252:

\(\implies \sf \dfrac{1008}{252}:\dfrac{6300}{252}=4:25\)

Therefore, the ratio of the area of the original deck to the area of the new deck in its simplest terms is 4 : 25.

If we compare this to the original scale factor 2 : 5 (which is the ratio of length), we can see that the ratio of area is the square of the scale factor:

\(\implies \sf 2^2:5^2=4:25\)

4,733,800 written as a scientific notation?

Answer: 4.7338 x 10^6.

It's 4.7330 x 10^6 because it has 5 significant figures and because its the number 5 hidden in its number.

Answer: x = -33

Step-by-step explanation:

27 + 3 = 30

-3 - 30 = -33

Answer:

-33

Step-by-step explanation:

I already took it TwT

Answer:

A.

Step-by-step explanation:

The equation of the new function is g(x) = f(x-10) = (x -10)²

A graph can be defined as a pictorial representation or a diagram that represents data or values.

While adding to the input of a function moves the graph left, and subtracting from the input of a function moves the graph right.

If the quadratic parent function, f(x) = x² moves right 10 units,

Hence, the equation of the new function is g(x) = f(x-10) = (x -10)²

Learn more about graph here:

brainly.com/question/16608196

#SPJ2

x² + 6x + 5 = 0

To find the solution, we can use the quadratic formula.

The solutions are (-1, 0) and (-5, 0)

Answer:

Doesn't factor

Step-by-step explanation:

\(m^2+4m-2\)

Factor

___________

Assuming you want m factored, you can follow a rule I use. Find two numbers that multiply to c (in this case -2), and use the same two numbers to add them to equal b (in this case 4).

m^2 + 4m - 2

There are no numbers that can do this, therefore this is unfactorable.

The probability distribution table for the random variable x, which represents the number of altimeters that are not correctly calibrated out of a sample of three, can be calculated using the binomial probability formula.

Let p be the probability that an altimeter is not correctly calibrated, which is 2/13 since there are two out of thirteen that are not correctly calibrated, and let q be the probability that an altimeter is correctly calibrated, which is 11/13. Then, the probability distribution table is:

x P(X = x)

0 0.7954

1 0.1905

2 0.0146

3 0.0005

The probability of getting zero altimeters that are not correctly calibrated is 0.7954, which means that in the majority of cases, all three altimeters selected will be correctly calibrated. The probability of getting one altimeter that is not correctly calibrated is 0.1905, which means that in a small number of cases, one of the three altimeters selected will be not correctly calibrated. The probability of getting two altimeters that are not correctly calibrated is 0.0146, which is a very small probability and means that it is unlikely that two of the three altimeters selected will be not correctly calibrated. Finally, the probability of getting three altimeters that are not correctly calibrated is 0.0005, which is an extremely small probability and means that it is highly unlikely that all three altimeters selected will be not correctly calibrated.

Learn more about probability here: brainly.com/question/32204199

#SPJ11

The equation of the tangent line to x = t³ +3t, y=t²-1 at t=0 is y=-1. Since the second derivative of y with respect to t is equal to 2 which is positive for all values of t, the graph is concave up at t=0.

To find the equation of the tangent line to x = t³ +3t, y=t²-1 at t=0, we need to find the slope of the tangent line at t=0 and a point on the line.

First, we find the derivative of y with respect to t:

dy/dt = 2t

Next, we find the derivative of x with respect to t:

dx/dt = 3t² + 3

At t=0, dx/dt = 3(0)² + 3 = 3.

So, at t=0, the slope of the tangent line is:

dy/dt = 2(0) = 0

dx/dt = 3

Therefore, the slope of the tangent line at t=0 is 0/3 = 0.

To find a point on the tangent line, we substitute t=0 into x and y:

x = (0)³ + 3(0) = 0

y = (0)² - 1 = -1

So, a point on the tangent line is (0,-1).

Using point-slope form, we can write the equation of the tangent line as:

y - (-1) = 0(x - 0)

y + 1 = 0

y = -1

To know more about tangent line refer here:

https://brainly.com/question/31326507#

#SPJ11

Answer:

12ft

Step-by-step explanation:

Answer:

The kite is 15ft from the ground

Step-by-step explanation:

Answer:

a2+a3=78

a2 and a3 must both be positive numbers that add up to 78

so a2 = a3 = 39

a1=102, a2=39, a3=39

Step-by-step explanation:

a1=102

a1+ a2 + a3=180 (all interrior angles of a triangle add up to 180)

a2+a3=78

a2 and a3 must both be positive numbers that add up to 78

Answer: Sue has 1 more brother than sisters

Step-by-step explanation:

Answer:

Select 1, 4 and 5

The slope is -1/10

The x intercept is 100

The y intercept shows the initial amount on the card in dollars

Answer:

1111/2500

Step-by-step explanation:

The rate per hour of the water level change will be 0.75 inches/hour.

It is defined as the change in values of a dependent variable with respect to the independent variables. It is also used to find the unit rate for many conditions.

It is given that, A swimming pool is being filled with a hose. The hose fills the pool at a constant rate. The pool's water level rose 9 inches in 12 hours.

The unit rate is obtained as,

=9 inches / 12 hours

=0.75 inches/hour.

Thus, the rate per hour of the water level change will be 0.75 inches/hour.

Learn more about the rate of change here:

brainly.com/question/12786410

#SPJ1

To solve this problem, we need to use the Law of Cosines. The law states that given any triangle ABC:

Then;

Since we want to find the measure of angle x, we can use:

c = 175 mi

a = 200 mi

b = 50 mi

C = x

Now, by the Law of Cosines:

And solve:

To the nearest whole number, x = 54°