This system of equations has been placed in a matrix: y = 700x + 200



y = 5,000 − 75x



Complete the matrix by filling in the missing numbers

The rotation about the origin that is equivalent to R-200° is; C. R160

We are given;

Origin = -200°

Now, even if we add and also subtract a complete rotation of 360° (or even several rotations of 360°), we will want to have the similar rotation.

Thus;

By adding 360° to -200°, we have;

α = -200° + 360°

α = 160°

Read more about angle of rotation at; https://brainly.com/question/2078551

#SPJ1

Answer:

66.67% is the answer I am bored

Answer:  c

Step-by-step explanation:

Answer:

5(8a + 9)

Step-by-step explanation:

40 and 45 can both be divided by 5, so this is a common factor.

-> 40 divided by 5 is 8

       [] It has a variable, so it will be 8a

-> 45 divided by 5 is 9

Our final answer is 5(8a + 9)

-> To check we can multiply it out, 5 * 8a is 40a, 5 * 9 = 45

-> This works

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

To multiply (3x - 4y) and (4x - 7y), we need to use the distributive property, which states that: a(b + c) = ab + ac Using this property, we can expand the given expression as: (3x - 4y)(4x - 7y) = 3x(4x) + 3x(-7y) - 4y(4x) - 4y(-7y) Simplifying each term, we get: = 12x^2 - 21xy - 16xy + 28y^2 = 12x^2 - 37xy + 28y^2 Therefore, the simplified answer is 12x^2 - 37xy + 28y^2.

To determine if a difference exists in a psychologist's income as a function of residential status (urban vs. rural), the demographer can use the Independent Samples t-test.

The Independent Samples t-test is appropriate when comparing the means of two independent groups. In this case, the demographer has two independent samples: one from psychologists in urban areas and another from psychologists in rural areas.

The test will assess whether there is a statistically significant difference between the mean incomes of psychologists in urban and rural areas. It takes into account the variability within each group and provides a p-value indicating the likelihood of obtaining the observed difference in means by chance.

By conducting an Independent Samples t-test, the demographer can determine if there is evidence to support the hypothesis that residential status has an effect on a psychologist's income.

To know more about t-test, visit:

brainly.com/question/32576462

#SPJ4

Answer: justice

Step-by-step explanation:

The ethical principle of justice is the principle which implies that everyone should be treated equally and given fair and same treatment.

In this case, the principle of justice is violated because out of the sixty people who volunteered to test the software, only twenty randomly chosen students used the software while the improvement in the ability of all the sixty students were then compared.

According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.

Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.

Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.

Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.

So, Will could have put 8 ounces of water in each cup.

Learn more about water in: https://brainly.com/question/28465561
#SPJ1

The function for the model that gives the future value of the investment in dollars after t years is: f(t) = 2000.e⁰·°⁴²t

Give, a lump sum of $2000 is invested at 4.2% compounded continuously.

Hence we have:

P = $2000

rate of interest = 4.2%

years = t

we know that A = Pe^rt

Substitute the above values in the formula.

Amount = f(t)

f(t) = 2000.e⁰·°⁴²t

hence we get the function for the model that gives the future value of the investment is f(t) = 2000.e⁰·°⁴²t

Therefore we get the required function.

Learn more about Compound Interest here:

brainly.com/question/2455673

#SPJ4

Answer:

x < 4

Step-by-step explanation:

Solving with steps below:

x < 4 (x=3,2,1,0,-1...)

You must write x = ... at the end.

Step-by-step explanation:

5x-2 < 2x+10

or,5x -2x < 10+12

or, 3x < 12

or 3x/3 < 12/3

Therefore x < 4

so x= 3,2,1,0,-1.....

Answer:

5 Quarts

Step-by-step explanation:

The number of feet Francisco has walked toward Meredith since they started walking is 230 - 2x.

The distance walked by Francisco = x feet

The distance walked by Meredith = x feet

The total distance travelled by Francisco and Meredith together = x + x

The total distance travelled by Francisco and Meredith together = 2x

Thus, the equation representing number of feet Francisco has walked toward Meredith since they started walking will be given as = total distance ; total combined distance travelled by both individuals

Therefore, the equation representing number of feet Francisco has walked toward Meredith since they started walking = 230 - 2x.

Hence, the desired equation is 230 - 2x.

Learn more about equation -

https://brainly.com/question/29174899

#SPJ4

The volume of the scoop of ice cream is 113.14 cm³.

The height of the cone that would keep the ice cream from spilling is 12cm.

Volume of a sphere = 4/3 x pi x r^3

4/3 x (3^3) x 22/7 = 113.14 cm³

Volume of the ice cream / 1/3(nr^2)

113.14 / (1/3 x 22/7 x 3^3) = 12 cm

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c.  m² -3m + 2 = 0.

The equation is equal to,

(x² - 5)² - 3x² + 15 = -2

let the value of m be equals to x² - 5.

Simplify the equation we have,

⇒ ( x² - 5 )² - 3x² + 15 = -2

Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,

⇒ ( x² - 5 )² - 3 (x² - 5 )  = -2

Now replace x² - 5 by m to get the equivalent equation,

⇒ ( m )² - 3 (m ) = -2

⇒ m² -3m + 2 = 0

Therefore, the equivalent equation to the given equation is written as option c.  m² -3m + 2 = 0.

Learn more about equivalent here

brainly.com/question/16415525

#SPJ1

The value of x would make the triangles similar by the SSS similarity theorem would be 30 . Option C

The SSS similarity theorem of triangles holds that if the three sides of two triangles are proportional, then the triangles are similar.

If the two triangles are to be similar, we have that:

45/x = 75/50

Cross multiply

x = (45 × 50)/75

x = 2250/75

x = 30

Therefore, the value of x would be 30 . Option C

Learn more about SSS similarity theorem here:

https://brainly.com/question/4163594

#SPJ1

Answer:

Find the radius

Square the radius

Multiply by pi

Round to nearest hundredth

Answer:

1. 2 ≤ n ≤ 4

2. 4 * 20

3. T < 80

4. (2 * 4) + (4 * 3)

5. 16 ≤ P ≤ 32

Note: The quantities described are as follows:

1) the allowable number of players on a team  

2) the number of points,  , Han's team earns in one round if every player earns a perfect score  

3) the number of points,  , Han's team earns in one round if no players earn a perfect score  

4) the number of players,  , in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each

5) the possible number of players in a game with eight teams

Step-by-step explanation:

1. Let the number of players be n

Since each team can have between 2 and 4 players

n ≥ 2 or 2 ≤ n, and n ≤ 2

Therefore, the allowable number of players on a team   is given by 2 ≤ n ≤ 4

2) There are four players in Han's team and a perfect score is 20

Therefore, the number of points Han's team earns in one round if every player earns a perfect score   is given by 4 * 20

3) There are four players in Han's team

Total score if each player in Han's team earns a perfect score is 4 * 20 = 80

Let the total score of Han's team be T

Therefore, the number of points, Han's team earns in one round if no players earn a perfect score   is given by T < 80

4) If two team have 4 players, it is given by 2 * 4

If the rest four teams have 3 players each, it is given by 4 * 3

Therefore, the number of players in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each  is given by (2 * 4) + (4 * 3)

5) Let the possible number of players in a game with be P

Maximum number of players in eight teams = 4 * 8 = 32

Minimum number of players in eight teams = 2 * 8 = 16

P ≤ 32 and P ≥ 16 or 16 ≤P

Therefore, the possible number of players in a game with eight teams  is given by 16 ≤ P ≤ 32

Answer:

Since 3⁵= 243 you can just multiply by 3 to find 3⁶

Answer:

You can multiply 243 by 3 to get the answer to 3^6

Step-by-step explanation:

Answer:

             The x intercept:    (1.5, 0)

The slope intercept form:   y = 2x - 3

                      The slope:    m = 2

Step-by-step explanation:

x intercept means y=0

4x - 2y = 6

4x - 2·0 = 6

4x = 6

x = 1.5

The slope intercept form is:  y = mx + b

4x - 2y = 6            {subtract 4x from both sides}

- 2y = - 4x + 6       {dividing both sides by (-2)}

y = 2x - 3            ← slope intercept form

Slope is the number by x, in slope intercept form of line's equation

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

To know more about values visit :

https://brainly.com/question/30145972

#SPJ11

Answer:

Area of trapezoid 1: 128

Area of trapezoid 2: 24

Step-by-step explanation:

Trapezoid 1:

(18 + 14)8/2

32*8/2

256/2

128

Trapezoid 2:

(9 + 7)3/2

16*3/2

48/2

24

Answer:

-13x^2+4x-11

Step-by-step explanation:

-3x^2+5x-8+(-10x^2-x-3)=?

-3x^2+5x-8-10x^2-x-3=?

(combine like terms); -13x^2+4x-11

So, your answer is -13x^2+4x-11

Answer:

-13x^2+4x-11

Step-by-step explanation:

Answer:

True?

Step-by-step explanation:

There not really an equation here.

But that is correct.

-47 is less than -20

Answer:

$32.09

Step-by-step explanation:

Um....yeah I just used an online calculator lol

The required area of the circle with diameter 15.8 cm is 196.06 cm^2.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

To find the area of a circle, we use the formula: pi * (radius)^2. The diameter of the circle is given as 15.8 cm,

so the radius can be calculated by dividing the diameter by 2,

giving us a radius of 15.8 cm / 2

= 7.9 cm.

Plugging the radius into the formula, we get:

pi * (7.9 cm)^2

= 3.14 * 62.41.

Finally, rounding the answer to the nearest hundredth, we get: 62.41 * 3.14

= 196.06 cm^2.

Thus, requi9red answer is 196.06 cm^2.

To know more about Area visit:

brainly.com/question/13194650

#SPJ4

Answer:

3/4 of a hour

Step-by-step explanation:

2 miles  = 0.5 hours

Divide by 2

1 mile = 0.25 hours

Multiply by 3

3 mile = 0.75 hours

Answer:

45 minutes or .75 of an hour or 3/4 of an hour

Step-by-step explanation:

if you walk 2 miles in a half-hour (30 minutes) , how long will it take to walk 3 miles. Well the answer is simple, we need to use proportions to solve it though. For example:

\(\frac{miles}{hours}\)   =    \(\frac{2}{.5}\)

therefore, half of .5 is .25

so for someone to complete 1 mile, it takes .25 of an hour. .25 of an hour is 15 minutes. Therefore, the correct simplified proportion is : \(\frac{1}{.25}\)

Now we need to find out what the denominator (bottom number/time) would be when the numerator (top number of the fraction) is =3.

Since we have the simplified version as a 1, we can just multiply .25 by 3 which is .75, and .75 of an hour is 45 minutes. Therefore the answer is 45 minutes.

The probability of choosing a purple marble from the given parameters is given as; 29%

We are given;

Probability of drawing an orange marble = 23% = 0.23

Probability of of drawing a white marble = 48% = 0.48

Thus, probability of drawing a purple marble is;

P(purple marble) = 100% - (23% + 48%)

P(purple marble) = 29%

Read more about Probability at; https://brainly.com/question/24756209

#SPJ1

\(the \: surface \: area \: of \: both \: cone = 2(\pi{rl} + \pi{ {r}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = 2(\pi{( \frac{1.4}{2} )(2.7)} + \pi{ {( \frac{1.4}{2} )}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = \boxed{4.76\pi} \\ \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{rl} +2 \pi{ {r}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{( \frac{1.4}{2} )(7.5)} +2 \pi{ {( \frac{1.4}{2} )}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = \boxed{11.48\pi} \\ \\ therefore \: the \: surface \: area \: of \: the \: composite \: object \: = \boxed{4.76\pi + 11.48\pi} \\ the \: surface \: area \: of \: the \: composite \: object \: = \boxed{16.24\pi}\)