Multiply . Simplify (or reduce) your answer , if necessary 5 multiplied 9/10

Answer:

a = -1, b = -2.5

Step-by-step explanation:

Rule for the dilation of a vector [tex]\binom{x}{y}[/tex] by a scale factor of k is,

(x, y) → (kx, ky)

BY using this rule for a vector [tex]\binom{-1}{4}[/tex] by a scale factor of 2.5

[tex]\binom{-1}{4}[/tex] → [tex]\binom{-2.5}{1}[/tex]

Followed by the rotation by 90° Or [tex]\frac{\pi }{2}[/tex] radians,

Rule for rotation of a vector by 90° is,

(x, y) → (-y, x)

By this rule vector [tex]\binom{-2.5}{1}[/tex] will become,

[tex]\binom{-2.5}{1}[/tex] → [tex]\binom{-1}{-2.5}[/tex]

If we represent this vector by [tex]\binom{a}{b}[/tex],

Then a = -1 and b = -2.5 will be the answer.

Answer:

a= -10 b= -2.5

Step-by-step explanation:

Answer:

x=36

Step-by-step explanation:

x×4/9=16

x=16×9/4=36

Answer:

none of the above

Step-by-step explanation:

plug in the x and y values into the equation and see if they equal 15

Answer:

Step-by-step explanation:

So the correct answers are (−3,52), (−6,154), (−5,103), and (5,−56).

Answer:

The volume of the composite figure is:

Step-by-step explanation:

To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

VOLUME OF THE CUBE.

Finding the volume of a cube is actually simple, you only must follow the next formula:

So:

VOLUME OF THE PYRAMID.

The volume of a pyramid with a square base is:

Where:

B = area of the base.

h = height.

How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:

Finally, we add the volumes found:

Answer:

Step-by-step explanation:

y=6x2+19x-7

factorise...

you will get,

y= 6x2-2x+21x-7

y=2x(3x-1) + 7(3x-1)

y=(2x+7), (3x-1)

hence zeroes are,

y=(-7/2), y=1/3

pls mark brainliest if it helps

Answer:Step-by-step explanation:

Convenience sampling

Explanation:

It is convenient data for the tv people and has a non zero chance of being selected

Answer: Convenience Sampling

Step-by-step explanation:

The answer is Convenience Sampling (CS) because CS is a sampling technique where the people that vote are easy to reach. And there is no bias since you can't choose the first 50 people are.

Answer:

4/3

Step-by-step explanation:

y = kx

4 = k(3)

4/3 = k3/3

4/3 = k

The constant proportion is 4/3.

Answer:

the correct answer is 20 just took

the test

Answer:

each student will receive 14 pieces of candy and that leaves 6 pieces for himself.

 14*21=294

294+6=300

Answer:

a) he would have 27500 won

b) changbin and han would have 70 lightsticks

Step-by-step explanation:

a)

multiply 45 rings by 500 won to get the total expense

45 x 500 = 22500

then subtract 22500 won from 50000 to get the amount left after the purchase

50000 - 22500 = 27500

this results in 27500 won total

b)

subtract 75 from 145 to get the amount left

145 - 75 = 70

Answer:

Hyunjin has 27,500 left.

Changbin & Han have 70 lightsticks left.

Step-by-step explanation:

A) 45 × 500 = 22500      50,000 - 22500 = 27500

B) 145 - 75 = 70

Answer:

666.70 at the end of every six months.

Step-by-step explanation:

At the end of  every six months deposit amount is 666.70

Compound interest is the interest paid on both principal and interest, compounded at regular intervals.

Formula of compound interest :

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

where,

A = final amount

P = initial principal

n = time in years

r = rate per annum

According to the question

Final Amount needed for a special vacation (A) = ​$4000

Time in years needed to collect Amount (n) =  3 years

Rate per compounded semiannually (r) = 4.5​%

Substituting values in formula for six months

Now time (n) = 3 * 6 = 18 years

using formula of compound interest

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

[tex]4000 = P(1+\frac{4.5}{100} )^{18}[/tex]

[tex]4000 = P(1.045 )^{18}[/tex]

now,

P = 666.70

Hence, at the end of  every six months deposit amount is 666.70

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Answer:

$16

Step-by-step explanation:

Let x=number of cars washed when y=allowance. We know she got $4 as a result of washing the car. She ends with $12, and we want to find the amount before washing the car.

$12 - $4 = $8

So, Coral had $8 before washing the car. Since she spent half of her allowance already playing golf, we know that $8 is only half of her total weekly allowance. Double this.

($8)2 = $16

Therefore, her weekly allowance is $16.

We can check this. She spent half playing golf, $16 / 2 = $8. She washes a car for $4. $8 + $4 = $12, which is what she ended with. So our answer is correct.

Answer:

524.5 in³

Step-by-step explanation:

First, we can find the volume of the box:

V = s³

V = 9.5³

V = 857.38 in³

Then, we can find the volume of the soccer ball:

V = (4/3)[tex]\pi[/tex]r³

V = (4/3)[tex]\pi[/tex](4.3)³

V = 333.04 in³

Then, subtract the volume of the ball from the volume of the box:

857.4 - 333.0 = 524.4

So, this is closest to the answer 524.5 in³

Answer:

reflected over the x-axis, compressed horizontally by a factor of 1/2.

Step-by-step explanation:

y(x) and f(x) means the same.

y = -(2x) means that y(x) was multiplied by -1, and x was replaced by 2x

The chord of a circle is, LG

We have to given that,

A circle with center C is shown in figure.

Since, The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

And, The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

Hence, By given figure,

Chord of a circle is,

⇒ Line segment LG

Thus, Option 2 is true.

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Answer:

571.392 cm3

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=✓25*9

x=✓5^2*3^2

x=5*3

x=15

Answer:

Permuation; 210 possibilites

Step-by-step explanation:

With permutations we care about the order of the elements, whereas with combinations we don’t. For this question order matters, because you have two different positions you want to fill (captain, and co-captain).

This would be written as 15p2

To find the number of possibilities we want to use the permuation equation.

(,)=!(−)!

P=permutation

n= the set or population (15 soccer players)

r= subset (1 captain and 1 co-captain, total of 2)

(,)=(15,2)

=15!(15−2)!

= 210

If u are confused about !(factorial) in the equation here is a quick explanation

Many calculators have a factorial key (look for the ! symbol). This function of the calculator will automate the multiplications, but if you do not have a calculator that can compute factorials you just have to go like this

1! = 1

2! = 2 x 1 = 2

3! = 3 x 2 x 1 = 6

4! = 4 x 3 x 2 x 1 = 24

5! = 5 x 4 x 3 x 2 x 1 = 120

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800

etc

Hope this helps!!

The number of possibilities in choosing captain and co-captain are 210 ways.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that, a team of 15 soccer players needs to choose a captain and a co-captain.

Number of captains can be choose from 15 players.

Number of co-captains can be choose from 15-1=14 players.

So, the number of possibilities= 15×14

= 210 ways

Therefore, the number of possibilities in choosing captain and co-captain are 210 ways.

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Answer: C) d-6.5 units: M(0.5, 8.5.-2)

Step-by-step explanation:

Distance between points [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex]  :

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]

The midpoint of the line joining [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex] is given by :-

[tex](\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2},\dfrac{z_1+z_2}{2})[/tex]

The given points : (3,8, 0) and (-2,9,-4)

Distance between points (3,8, 0) and (-2,9,-4):

[tex]D=\sqrt{(-2-3)^2+(9-8)^2+(-4-0)^2}\\\\=\sqrt{25+1+16}\\\\=\sqrt{42}=6.48074069841\approx6.5\text{units}[/tex]

The midpoint of the line joining (3,8, 0) and (-2,9,-4) :

[tex](\dfrac{3+(-2)}{2},\dfrac{8+9}{2},\dfrac{0+(-4)}{2})=(\dfrac{1}{2},\dfrac{17}{2},-2)\\\\=(0.5, 8.5.-2)[/tex]

Hence, the correct answer is C) d-6.5 units: M(0.5, 8.5.-2).

Slope is defined as rise over run, which can be expressed as the difference of the y-coordinates divided by the difference of the x-coordinates. If we rise, we are moving vertically, or along the y-axis. If we run, we are moving horizontally, or along the x-axis.

The formula for the slope m of a line given two points (x1, y1) and (x2, y2) that lie on the line is:

m = (y2 - y1)/(x2 - x1)

m = (15 - 5)/(-6 - 4)

m= 10/-10

m = -1

Now, we can use the slope-intercept form of the equation of a line to obtain the equation of the line that satisfies the conditions outlined in the problem. Slope-intercept form is:

y = mx + b

Again, m represents the slope, while b stands for the y-intercept. We can use either point on the line to represent x and y. Let's choose the point (4, 5)

5 = -1(4) + b

5 = -4 + b

9 = b

The equation of the line is:

y = -x + 9 hope i helped u

Answer:

A. x is all real numbers.

Step-by-step explanation:

The domain is the input values for the function, in this case the x values

As we can see in the graph, x can be any real value

Answer:

A) x is all real numbers

Step-by-step explanation:

Domain = x

In the graph, x seems to continue infinitely in both directions. This means that x is all real numbers.

Answer:

B) Chalkboard.

Step-by-step explanation:

Ok, so basically you need to know what rotational symmetry is. Rotational symmetry is the property a shape has that when rotated some amount of degrees less than 360, it looks the same as it was without being rotated at all.  

So, basically it means that the figure can be rotated and it will look as though it hasn't been rotated at all.

Starting off with the butterfly, it is clear that even when rotated it will never look the same as it was without being rotated (you can click on the image rotation function to see this).

Next, looking at the chalkboard, it is obvious that when rotated 180 degrees, it will look the same as it looked without being rotated (click the rotate image button twice). So, this will be our answer.

Answer: b=31, c=5

Step-by-step explanation: if this is a equilateral triangle then all the sides when split in half will be the same as the other side

Answer:

360

Step-by-step explanation:

Given

Digits: 0 to 5

Required

Number of 4 digit passcode that can be generated.

First, we need to get the number of usable digits.

Digits 0 to 5 = 0,1,2,3,4,5

Number of digits = 6

To make a 4 digit passcode;

The first digit can be taken from any of 6 digits

The second digit, any of the remaining 5 digits

The third digit, any of the remaining 4 digits

The fourth digit, any of the remaining 3 digits

Number of passcode = 6 * 5 * 4 * 3

Number of passcode = 360

Answer:

x = 18

Step-by-step explanation:

We can use Alternate Exterior Angles Theorem to find the angle above x. It would equal 94°. We then use Supplementary Angles to find x:

5x - 4 + 94 = 180

5x + 90 = 180

5x = 90

x = 18

Answer:

I am in 6th, doing 7th grade math, but can get up to 12th grade math lol.

x = 18

Step-by-step explanation:

First step: 5x - 4 + 94 = 180

Second step: 5x + 90 = 180

Last step: 5x = 90

So, therefore, your correct answer is: x = 18

Answer:

The type of sampling method used is:

Step-by-step explanation:

A simple random sampling is a method where the pollster, in this case, the company, from a finite or infinite population (the costumers in the database) takes a representative sampling (in this case 100 costumers) to apply the survey and obtain data that can be used to deduce the way of thinking of all the costumers, though to actually identify this way of thinking, the sampling must be proportional to the size of the population, on the contrary, the data obtained won't be useful to reveal the real level of the satisfaction (In this case securely the database is 10,000 costumers or less, then the sampling is at least the 1% of the population). Another characteristic is all the people in the population should have the same opportunity to be part of the sampling, this is identified in the paragraph where says that the selection was random.

Answer:

B. simple random sampling

Step-by-step explanation:

right on edge

Answer:

The answer is below

Step-by-step explanation:

We have a vector with a magnitude of 50 miles and a direction of 240 °.

To draw it, the first thing is to make a Cartesian plane, the first thing is to know in which quadrant it would be, 240 ° is in the third quadrant (180 ° - 270 °), that is, it would be 30 ° (270 ° - 240 °) with respect to to the y axis negative.

Knowing this angle, we calculate the value of x and y, knowing that the magnitude of the vector is 50 miles, that is, this value would be the hypotenuse.

The value on the x-axis can be calculated using the sine of the angle, like this:

sin 30 ° = x / 50

x = sin 30 ° * 50

x = 25, how is the third quadrant would be -25

Now to calculate the value on the y-axis it would be by means of Pythagoras and it would be:

y ^ 2 = 50 ^ 2 - 25 ^ 2

y ^ 2 = 1875

y = 43.3, -43.3 because it must be located in the fourth quadrant

Which means that to draw the vector that we are asked to do, we must draw a point from origin (0,0) to (-25, -43.3).

Then I leave a sketch of what it would be:

Answer:

30 us liquid gallons / hour

Step-by-step explanation:

Multiply the volume / time value by 15

Answer:

Step-by-step explanation:

2 quarts per minute is:

2/4 gallons per minute is:

0.5 gallons per minute is:

0.5*60 gallons per hour is:

Answer:

area = 25.12

Step-by-step explanation:

area of circle = pi(r)^2

area = 3.14 (4)^2 /2

area = 3.14 (16) / 2

area = 50.24 / 2

area = 25.12

Answer:

A = 78.9568350285

Step-by-step explanation:

A = TTr^2/2

A = TT4^2/2

A = 12.5663706^2/2

A = 157.913670057/2

A = 78.9568350285