16) A rectangle has dimensions of 10 feet by
18 feet. What is the length of the
diagonal?
A) 28 feet B) 20.6 feet
C) 15 feet
D) 424 feet

Answer:

f(x) = x + 13

Step-by-step explanation:

f(x) = x

when x = 0, y = 0

f(x) = x + 13

when x = 0, y = 13

Answer:

0

Step-by-step explanation:

The smallest (greater or equal to zero) multiple of 13 is 0

to get a positive multiple of 13 you have to multiply 13 by a natural number:

0 = 13×0

13 = 13×1

26 = 13×2

.

.

.

then the smallest one is 0.

Answer:

You move right 3, and down 7

Answer:

$30.62

Step-by-step explanation:

12% of 40 is 4.8

(10% is 4, 2% is 0.8)

40- 4.8= 35.2

13% of 35.2 is 4.576

(10% is 3.52, 3% is 1.056)

35.2- 4.576= 30.624

then rounded to 2 decimal places

30.62

Answer: 28.27

Step-by-step explanation:

First, you can turn the diameter into a radius, giving you 3. Since the equation of an area in a circle is A=πr^2, you must square 3, giving you 9. Now you must multiply 9 with Pi, which is 3.14159265358, but just 3.14 for short. With that, you get about 28.27 as area.

Answer:

y=24x+50

24= per month

x= months attended

50=member fee

Answer:

f = 8

Step-by-step explanation:

21 + 5f = 61

5f = 61 - 21

f = (61 - 21) / 5

f = 8

Answer:

f = 8

Step-by-step explanation:

"Sum" = addition

"Times" = multiplication

Write an equation to represent this scenario

21 + 5 * f = 61

Multiply 5 by f

21 + 5f = 61

Subtract 21 from both sides of the equation

5f = 40

Divide both sides of the equation by 5

f = 8

Hope this helps :)

Answer: 346.4 in^3

Step-by-step explanation:

The pot can be thinked as a cylinder:

The volume of a cylinder is equal to:

V = (pi*r^2)*h

where h is the height, r is the radius and pi = 3.1416

Here we have that: r = 3.5in, h = 9in.

Then the volume is:

V = 3.1416*(3.5in)^2*9in = 346.4in^3

A reflection over a line l  moves every point P  of the plane to the point P ′  on the perpendicular from  P to the line l and on the same distance from l .

If the line is the  x  -axis, a point P  =  ( p 1   p 2 )  moves to the point  P ′  =  ( p 1 , − p 2 ) .

The image of the triangle A B C  is the triangle  A ′ B ′ C ′ with  B ′  =  ( 9 , − 5 )

Answer:

  3.  7632

  4.  485

Step-by-step explanation:

3. The only prime digit greater than 6 is 7, so that is the thousands digit. The only even prime is 2, so that is the ones digit.

In order for the number ending in 2 to be divisible by 4, the tens digit must be odd. The only odd numbers that have a double that is an even digit are 1 and 3. Since all digits must be different, the hundreds digit cannot be 2×1 = 2, but must be 2×3 = 6.

The number is 7632.

__

4. In order for an odd number to be divisible by 5, its ones digit must be 5, not 0. Then the tens digit is 5+3 = 8, and the sum of these two digits is 5+8 = 13. To make the total of digits equal to 17, the hundreds digit must be 17-13 = 4.

The number is 485.

Answer:

The interval is (.0817, .118).

Step-by-step explanation:

Let's make this interval! The easy way is to go to STAT->TEST->A, 1-prop z-int, but I will show the long way.

1. Conditions

First we must check the conditions.

Randomization condition: The sample is given to be random, so we can assume independence.

Success/failure condition: Both np>10 and nq>10 must be met.

10% condition: The sample cannot be greater than 10% of the population.

All conditions are met, so we can use a 1-proportion z-interval to represent the data.

2. Mechanics

Find [tex]\hat{p}[/tex], the sample proportion.

103/1030 = .1

[tex]\hat{q}[/tex], then, the probability of not p, is 1 - .1 = .9

Find z* (z star), the critical z-value.

You can do this on your calculator using 2nd->VARS->3 (or you can memorize it - it's 1.96. Winky face.) This is called the invNorm function, that takes the left side area under the normal curve. But what do we plug in to the invNorm function?

invNorm(.975) = 1.96

Plug values into the equation.

[tex]\hat{p}[/tex] ± z*[tex]\sqrt{\frac{\hat{p}\hat{q}}{n} }[/tex]

.1 ± 1.96[tex]\sqrt{\frac{.1*.9}{1030} }[/tex]

.1 ± 1.96(.00935)

.1 - .0183 = .0817

.1 + .0183 = .118

(.0817, .118)

3. Conclusion

Based on this sample, we are 95% confident that the proportion of people the company contacts who may buy something is between .0817 and .118. That isn't very likely, but maybe they'll make a little profit!

Answer:

Axis of Symmetry: x = -4

Vertex: ( -4, -6 )

Step-by-step explanation:

~ Part I ~

1. To find the axis of symmetry, rewrite y = x^2 + 8x + 10 in the parabola standard form ( 4p( y - k ) =  ( x - h) ^2 for an up-down facing parabola at  vertex ( h, k ) and a focal length |p|) ⇒ 4 * 1/4 ( y - ( - 6 ) ) = ( x - ( - 4 ) )^2

2. Therefore the parabola properties are ⇒ ( h, k ) =  ( - 4, -6 ), p = 1/4

3. Answer: x = -4

~ Part II ~

1. From the previous question, we got that the vertex should be ⇒ ( -4, -6 )

2. Answer: ( -4, -6 )

Answer: Well, 4 groups of four, and roughly 6 student in a group

Step-by-step explanation:

The question is not clear, but 25 divided by 4 is 6.25, but it’s students so 6 or 7.

Answer:

B; D

Step-by-step explanation:

5) 3x + 7 = 6x - 11 -->

18 = 3x -->

6 = x (B)

6) (t+6)(10) = (t)(12) -->

10t + 60 = 12t -->

60 = 2t -->

30 = t (D)

Answer:

2.86 yards

Step-by-step explanation:

Height = volume/parameter

Parameter = 1/2 diameter * pi

Height = 225 / parameter

Height=2.86

Answer:

8 meters

Step-by-step explanation:

Since the 4 sides of a square are all equal, the area of a square can be found using:

a=s*s or

a=s^2

We know that the area is 64 square meters, so we can substitute 64 in for a

64=s^2

We are trying to find a side, s, so we have to get s by itself. Since s is being squared, take the square root of both sides. This will cancel out the exponent, and leave s by itself.

[tex]\sqrt{64}=\sqrt{s^2}[/tex]

8=s

So, one side of the backyard is 8 meters

Answer:

The first option is not a function

Explanation:

A function is where there is no repeated x values

Just a reminder

Answer:

you need Jesus lol :)

Step-by-step explanation:

.....

Answer:

Step-by-step explanation:

m4 + m3 = 180 (Supplementary angle on 1 line)

m6 +m3 = 180 (Supplementary angle)

-> m6=m4

-> x+80 = 4x-10

-> 90 = 3x

-> x = 30

-> m6=m4 = 80+30 = 110

...

m1+m4 = 180 (Supplementary angle on 1 line)

-> m1 = 180 -110 = 70

Answer:

243.01.

Step-by-step explanation:

The first term (a) = 324.

The common ratio (r) = -108/324 = -1/3.

So sum of 9 terms is:

S(9) = 324 * (1 - (-1/3)^9) / ( 1 - (-1/3)

= 324 ( 1 - (-0.00005076)) / 4/3

= 324 * 1.00005076 / 1.33333

= 243.012.

Answer:

556 feet

Step-by-step explanation:

What you have to do to get the answer is find out what 10^4 is, and then multiply that by 2.78. After that, you just need to divide it by 50.

10^4 = 10,000

2.78 × 10,000 = 27,800

27,800 ÷ 50 = 556

Answer:

556

Step-by-step explanation:

Answer:

170.5 is the answer from the TI-84

Step-by-step explanation:

Answer:

Number of total bees = 400

Step-by-step explanation:

He catches 100 bees from the hive and marks each one with a dye.

He later catches 60 and 15 were marked with the dye.

Its very to estimate from the data given.

I'll answer it with ratio.

We'll ratio number of bees with dye to total he caught the second day.

I.e 15:60 = 1:4

We'll multiply this ratio with the number he caught the first day to know the total.

1/4x =100

X = 100*4

X= 400

Where x is the total number of bees in the bee hive.

Answer:

Let's denote:

x: the time both trains traveled.

Then, we have:

70x + 80x = 390

=> 150x = 390

=> x = 390/150 = 2.6 hour

Answer:

2.6 hours ( or 2 hours 36 minutes).

Step-by-step explanation:

The combined speed is 70+80 = 150 mph.

Speed = distance / time,  so time = distance / speed.

So the time when they will meet

=  390 / 150

= 2.6 hours.

Answer:

[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]

Step-by-step explanation:

From the free body diagram attached  below; we will see that

T₃ = Fg   ------ (1)

Thus; as the system is in equilibrium, the net force in the x and y direction shows to be zero

Then;

[tex]\sum F_x= 0 \to T_2 Cos \theta _2 - T_1 cos \theta _1[/tex]

[tex]T_2 Cos \theta _2 = T_1 cos \theta _1 \ \ \ \ \ - - - (2)[/tex]

Also;

[tex]\sum F_y =0 \to T_2sin \theta_2+T_1sin \theta_1 - T_3 = 0[/tex]

[tex]T_3 = T_2sin \theta_2+T_1sin \theta_1[/tex]   ---- (3)

From equation (2):

[tex]T_2 = \dfrac{T_1cos \theta_1}{cos \theta_2}[/tex]

Replacing the above value for  T₂  into equation 3; we have

[tex]T_3 = \dfrac{T_1cos \theta_1}{cos \theta_2}sin \theta_2+T_1sin \theta_1[/tex]

[tex]T_3 cos \theta_2 = {T_1cos \theta_1}{}sin \theta_2+T_1sin \theta_1 cos \theta_2[/tex]

[tex]T_3 cos \theta_2 = T_1(cos \theta_1 sin \theta_2+sin \theta_1 cos \theta_2)[/tex]  ---- (4)

Using trigonometric identity Sin (A+B) = SIn A cos B + Cos A sin B

So ; equation 4 can now be:

[tex]T_3 cos \theta_2 = T_1sin(\theta _1 + \theta_2)[/tex]  --- (5)

replacing equation (1) into  equation (5) ; we have:

[tex]F_g}cos \theta_2 =T_1 sin (\theta_1+\theta_2)[/tex]

Hence; the tension in the string is:

[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]

Answer:

80

Step-by-step explanation:

I just did this and its right!

Answer:

80

Step-by-step explanation:

step-by-step explanation is xy xyz wyz xyz 80

Answer:

A' (2,-3)

B' (5,-5)

C' (5,-2)

D' (7,-3)

Step-by-step explanation:

I used desmos graphing calculator to help me solve

Answer: The answers would be A= 2,-3  B= 5,-5   C=-5-2  and D= 7,-3

Answer:7

Step-by-step explanation:

-3-(-8)-(-2)=x

-3+8+2=x

-3+10=x

7=x

x=7

Answer:

The answer is that the y-coordinate should be -3 1/2.

Step-by-step explanation:

First, look at the graph. On the x-axis, the dot is at -5, since it is 5 units to the left of the origin. On the y-axis, the dot is at -3 1/2. It is between -3 and -4, not -4 and -5. Therefore, the answer is that the y-coordinate should be -3 1/2, not -4 1/2. You can also check by seeing if -4 1/2 is reasonable. -4 1/2 would mean the dot would be more than 4 units below the origin. On the graph, the dot is clearly above the -4 mark, so the -4 1/2 must not be correct.

Answer:

7

Step-by-step explanation:

15 plus 6 equals 21

21 divided by 3 is 7

Answer:7

Step-by-step explanation:

sum of 15 and 6

15+6=21

1/3 Of The sum

1/3 of 21

1/3 x 21

(1x21)/3

21/3=7