The 15 students in robotics club want to raise $414.45 to buy robot parts. They have already raised $158.70 if each student raises the same amount, how much more money must each student have?

Answer:

B = 31.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan B = opp / adj

tan B = 28.2 / 45.8

taking the inverse tan of each side

tan ^ -1 ( tan B) = tan ^-1 (28.2/45.8)

B =31.62145

Rounding to the nearest tenth

B = 31.6

Answer:

75.36 cubic units

Step-by-step explanation:

The volume of a cylinder is [tex]V=\pi r^{2}h[/tex] where [tex]V[/tex] is the volume of the cylinder, [tex]r[/tex] is the radius of the cylinder's base, and [tex]h[/tex] is the height of the cylinder. This problem requires that we use 3.14 for the constant [tex]\pi[/tex].

With the given information, this means that the volume of the cylinder is:

[tex]V=\pi r^{2}h[/tex]

[tex]V=3.14(2)^{2}(6)[/tex]

[tex]V=3.14(4)(6)[/tex]

[tex]V=3.14(24)[/tex]

[tex]V=75.36[/tex]

Therefore, the volume of the cylinder is 75.36 cubic units

Answer:

100 degrees

Step-by-step explanation:

This is because AED And CED ARE supplimetary.

80+<CED=180

-80           -80

<Ced=100

Answer:

A

Step-by-step explanation:

f = 1/2s

Let s = 2  that means f = 1  That means for 2 cups of sugar there is 1 cup of flour.

This point must be on the graph

It is on A,  not on B, not on C

Answer:

3:7

Step-by-step explanation:

a ratio is a representation of a certain amount of two items. since there are 7 vases for every 3 planters, the amount of vases versus the amount of planters is represented by 3:7

Answer:

that there is no significant evidence that there is an increase in mean number of arrivals per hour

Step-by-step explanation:

The hypothesis :

H0 : μ = 195

H1 : μ > 195

We obtain the test statistic :

(xbar - μ) ÷ (σ/√(n))

xbar = 200 ; n = 30 ; σ = 16

Test statistic :

(200 - 195) ÷ (16/√(30))

5 ÷ 2.9211869

= 1.712

Using the Pvalue calculator :

Pvalue from Test statistic = 0.043

At α = 0.025

Pvalue > α ; we fail to reject the Null and conclude that there is no significant evidence that there is an increase in mean number of arrivals per hour.

Answer:

666.7

Step-by-step explanation:

66.7*10=666.7

the reason its not 667 is beacuse of the repeateing rule like 1/3 is .33333

and 2/3 is .66667 the reason there is a 7 at the end is becuse you round up so i doesn't run on forever

Answer:

667 km

Step-by-step explanation:

66.7 km / 1 liter

Y = 66.7x

X = Liters of Petrol

Y = Total KM Traveled

Y = 66.7 (10)

Y = 667km

Answer:

y = 2x/7 + 5

Step-by-step explanation:

the first line is defined by

7x - 2y + 3 = 0

in the most common way to write this we need an equation like y = ...

so, we isolate the y-expression in the equation :

2y = 7x + 3

y = (7x + 3) / 2 = 7x/2 + 3/2

the factor of x is the slope of the line, which is expressed by the y/x ratio indicating how many units y will change, when x changes e.g. 1 unit.

7/2 means that y will change by 7 units for every change in x by 2 units.

the slope of a perpendicular line is inverse to the slope of the original line, which means x and y are simply trading places (original x / original y).

so, the perpendicular slope of 7/2 is 2/7 (when x changes by 7 units, then y changes by 2 units).

that means the equation for the perpendicular line is something like

y = 2x/7 + c

the c we determine by using the coordinates of the given point (x and y values).

3 = 2×(-7)/7 + c = 2×(-1) + c = -2 + c

c = 5

so, the complete equation of the perpendicular line is

y = 2x/7 + 5

Answer:

Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.

Step-by-step explanation:

Since Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest, and the invested $ 1000 less in a 18-month CD that had a 2% simple interest return, if the total amount of interest from these investments was $ 945.00, to determine how much was invested in each CD the following calculation must be performed:

3.3 x 5 = 16.5

2 x 1.5 = 3

4000 x 0.165 + 3000 x 0.03 = 750

6000 x 0.165 + 5000 x 0.03 = 1140

5000 x 0.165 + 4000 x 0.03 = 945

Therefore, Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.

Answer:

r = -6

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope 3/4

This means that [tex]m = \frac{3}{4}[/tex], and thus:

[tex]y = \frac{3}{4}x + b[/tex]

(6,3)

This means that when [tex]x = 6, y = 3[/tex]. We use this to find b. So

[tex]y = \frac{3}{4}x + b[/tex]

[tex]3 = \frac{3}{4}(6) + b[/tex]

[tex]b = 3 - \frac{18}{4} = \frac{12}{4} - \frac{18}{4} = -\frac{6}{4}[/tex]

So

[tex]y = \frac{3}{4}x - \frac{6}{4} = \frac{3x - 6}{4}[/tex]

(-6, r)

r is y when [tex]x = -6[/tex]. So

[tex]y = \frac{3(-6) - 6}{4} = -6[/tex]

So r = -6.

Answer:

A

Step-by-step explanation:

Answer:

[tex]x < - 2[/tex]

Step-by-step explanation:

Hope it is helpful...

Answer:

j/3

Step-by-step explanation:

quotient is division

j/3

Answer:

A system of linear equations will have exactly one point of intersection, for example:

2x+y=5

-x+y=2

However, a system of linear equations with no solution will have no points of intersection, for example:

-4x+10y=6

2x-5y=3

Sorry about c. though I'm confused on how a pair of equations can have infinite points of intersection unless x or y equals all real numbers which could happen if x or y both equaled all real numbers maybe

And the point of interesection for the system of equations in the problem you attached as an image is (2,-1)

I attached a photo below, and one of how to graph it

9514 1404 393

Answer:

  -210° is a 2nd quadrant angle

  -210 radians is a 3rd quadrant angle

  -21° is a 4th quadrant angle

Step-by-step explanation:

If we assume you want the quadrant of the terminal ray of a standard-position angle whose measure is -210 degrees, then we can find the equivalent positive angle by adding 360°. The result is the coterminal angle of 150°. That lies between 90° and 180°, so is in the 2nd quadrant.

__

The number given in this problem statement has no units attached. A "unitless" angle measure is a measure in radians. To normalize this angle of -210 radians, we can 68π radians to give a coterminal angle of about 3.628300 radians, or 207.9°. This angle lies between 180° and 270°, so is a 3rd quadrant angle.

__

If the number given here is intended to be -21°, then it is measured 21° clockwise from the +x axis. That puts it in the 4th quadrant.

_____

Additional comment

We understand that sometimes the degree symbol does not get properly rendered when questions are copied to Brainly. We have seen it disappear (which we initially assumed was the case here), and we have seen it rendered as a zero (considered as an afterthought here). We also want to emphasize the fact that angles cannot be assumed to be in degrees, and that an angle in radians is equivalent to a pure number--one with no units at all. Hopefully we've covered enough bases that you can find the answer you want among those offered.

Answer:

198.954 g per jar

Step-by-step explanation:

Given that :

Mass of mincemeat left = 795.817 g

Number of jars = 4

Mass left split equally in the jars ; we'll have ;

Mass of mincemeat left / number of jars

Mass of mincemeat in each jar :

795.817 / 4

= 198.95425

= 198.954 g per jar

Step-by-step explanation:

everything can be found in the picture

Answer:

h = [tex]\frac{K^2}{17}[/tex]

Step-by-step explanation:

Given

K = [tex]\sqrt{17h}[/tex] ( square both sides )

K² = 17h ( divide both sides by 17 )

[tex]\frac{K^2}{17}[/tex] = h

Answer:

H0 : P ≤ 0.12

H1 : P > 0.12

Step-by-step explanation:

12% = 12/ 100 = 0.12

Given the population proportion, P = 0.12

The claim is the alternative hypothesis, H1 ; which is to test if more than 12% of trees have been infested.

Hence, the alternative hypothesis will be ;

H1 : P > 0.12

The null hypothesis which is the initial truth is always the opposite of the alternative hypothesis, Therefore, we write our null as ;

The null hypothesis ; H0 : P ≤ 0.12

Therefore, we have :

H0 : P ≤ 0.12

H1 : P > 0.12

Answer:

Null hypothesis: p equals 0.12

Alternative hypothesis: p greater than 0.12

Step-by-step explanation:

Since we are focusing on testing if the proportion of is greater than 12%, we can only reject the null hypothesis if the value is larger. This would be a one-tailed right test. So the null hypothesis and alternative hypothesis would be:

Null hypothesis: p = 0.12

Alternative hypothesis: p > 0.12.

Answer:

49.53

Step-by-step explanation:

Answer:

49.53

3.9 = 3 + 0.9 (separated by place value)

12.7 x 0.9 = 11.43

12.7 x 3 = 38.1

11.43 + 38.1 = 49.53

(this is the process that happens in stack multiplication of this format:

12.7

x 3.9

-----------

49.53

Answer:

To solve this, we first have to find an individual rate:

3/5

4/7

For the first one:

1 lap in 5/3 minutes

Second one:

1 lap in 7/4 minutes

find a common LCD

5/3 and 7/4

20/12 and 21/12

4 laps in 7 minutes is faster

Step-by-step explanation:

(Please mark brainliest)

Answer:

3 laps 5 minutes

Step-by-step explanation:

.

Answer:

If both sides are equal

Step-by-step explanation:

If both sides are equal and are the same in both sides of the equation, than it is a solution.

For instance, the solution for 2x = 4, is x = 2 because 2(2) = 4 is 4 = 4.

Answer:

10

step by step solution is in the pic...

Answer:

idrk the answer but i think its r = x+3y

Answer:

Step-by-step explanation:

it is d) 162

Answer:

The answer is d 162cm^2

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

1) 5       2)20      3)3    4) 12

5) 9      6)18     7) 3     8) 20

9) 27    10)15   11)5  12)18

Answer:

first one is 120cm

second one is 7.5 miles

Step-by-step explanation:

one book is 3.75

maximum books are 25

so 25×3.75 = 93.75

second question he crosses 0.63 to go for work

and 0.63 to go home so in one day he crosses 1.26 miles

in 6 days is (1.26×6) = 7.56

Answer:

a + c = 30

8a + c = 100

a=10, c= 20

Step-by-step explanation:

cost = 8a + 1c  since it is 8 dollars for adult and 1 for child where a is the number of adults and c is the number of children

a+c = 30  since we know that 30 adults and children went

100 = 8a + 1c   and it cost 100 dollars

Let c =30 -a

100 = 8a + (30-a)

100 = 7a +30

Subtract 30 from each side

70 = 7a

Divide by 7

10 =a

Then a+c = 30

10+c = 30

c = 30-10

c = 20

Answer:

eqn1 : a +c=30

eqn2: 8a+c=100

20 children and 10 adults

Solution :

The probability of winning when you choose n is =  [tex]$^nC_2\left(\frac{1}{2}\right)^n$[/tex]

[tex]$n\left(\frac{n-1}{2}\right)\times \left(\frac{1}{2}\right)^n = n(n-1)\left(\frac{1}{2}\right)^{n+1}$[/tex]

Apply log on both the sides,

[tex]$f(n) = \log\left((n)(n-1)\left(\frac{1}{2}\right)^{n-1}\right) = \log n +\log (n-1)+(n+1) \ \log\left(\frac{1}{2}\right)$[/tex]

Differentiation, f(x) is [tex]$f'=\frac{1}{x}+\frac{1}{(x-1)}+\log\left(\frac{1}{2}\right)$[/tex]

Let us find x for which f' is positive and x for which f' is negative.

[tex]$\frac{1}{x}+\frac{1}{(x-1)} > 0.693$[/tex]       , since [tex]$\log(1/2) = 0.693147$[/tex]

For x ≤ 3, f' > 0 for [tex]$\frac{1}{x}+\frac{1}{x-1}+\log\left(\frac{1}{2}\right)>0$[/tex]

[tex]$\frac{1}{x}+\frac{1}{x-1}-0.6931470$[/tex]

That means f(x) is increasing function for n ≤ 3

[tex]$\frac{1}{x}+\frac{1}{x-1}< 0.693147 $[/tex] for x > 4

f' < 0 for n ≥ 4, that means f(n) is decreasing function for n ≥ 4.

Probability of winning when you chose n = 3 is [tex]$3(3-1)\left(\frac{1}{2}\right)^{3+1}=0.375$[/tex]

Probability of winning when you chose n = 4 is [tex]$4(4-1)\left(\frac{1}{2}\right)^{4+1}=0.375$[/tex]

Therefore, we should chose either 3 or 4 to maximize chances of winning.

The probability of winning with an optimal choice is n = 0.375

Answer:

The first one is 145 in^2 and the other is 250 in^2

Step-by-step explanation:

For the first one you have to find the base first so 5*5=25, then you find the area of the other faces and since theres 4 of them dont bother diving them by 2 and just do it twice, so the faces would be 120 in^2 in all add it together and you get 145

For the second one its the same thing but instead of a square base its a triangle so theres only 3 faces. 8*10 = 80/2 =40, 2 of the faces are 140 in all and to find the last one just 14*10=140/2=70 and you add them together and get 250