A square pyramid is shown sitting on its base.

Since √(3x+1) and √(x-5) is always positive, you can square out both sides.

[tex] \sqrt{3x + 1} > \sqrt{x - 5} \\ {( \sqrt{3x + 1}) }^{2} > {( \sqrt{x - 5} )}^{2} \\ 3x + 1 > x - 5 \\ 2x > - 6 \\ x > - 3[/tex]

Since substituting x = -2, -1 , ... , 4 into √(3x+1) and √(x-5) will result into complex solutions,

Therefore,

[tex]x > 4[/tex]

Answer:

-3<x≤5

Step-by-step explanation:

√(3x+1)>√(x-5)

Square each one of the square roots. Then create 3 different inequality expressions and solve them/

1. 3x+1>x-5=  x>-3

2. 3x+1≥0=  x≥-1/3

3. x-5≥0= x≥5

From here I'm going to take the values that cover the most of the area in this expression which should be -3<x≤5.

Answer:

Step-by-step explanation:Formula

The circumference of a circle is given by C = pi * d

Givens

pi = 3.14

13 is the diameter.

Solution

C = 3.14 * 13

Answer: C = 40.82

Answer for the blanks.

The value of X is 69 while value of y is also 69

Answer: $7.10

Step-by-step explanation

1. mutiply 0.35 times 19 = 6.65

2. 0.45+6.65=7.1

It will cost $7.10 for a 20-minute-long-distance call.

have a good day

Answer:

$7.10

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The X of all the points show that it is a function because none of the X values are repeating.

Answer:

58

Step-by-step explanation:

Coins Number of Drawsnickel 32penny 54dime 13quarter 29Total Number of Draws = 32 + 54  + 13 + 29 = 128Probability of Quarter drawn = 29/128the number of times a quarter would be drawn if Venessa draws a coin 256 times  = (29/128)  * 256= 29 *2= 58 option B is the right answer

Answer:

3

Step-by-step explanation:

bec its on the left ......

Answer:

0.3718688642

Step-by-step explanation:

Weekdays consist of 5 days and weekends consists of 2 days. ... In case if you do not know, there are 7 days in a week.

The probability of one student who were born on a weekday

= 5/7

The probability of one student who were born on a weekend

= 2/7

This question then can be solved by using the binomial distribution formula,

[tex]P(X = 4) = \binom{5}{4} { (\frac{5}{7}) }^{4} {( \frac{2}{7}) }^{1} \\ = 0.3718688642 [/tex]

Answer: 16

Step-by-step explanation: substitute 5 for y. 5 squared is 5 times 5 which is 25 and 3 times 5 is fifteen. 25 minus 15 is 10 plus 6 is 16. :)

Answer:

272 square inches

Step-by-step explanation:

Find the surface area

Surface area =

12 * 2 + 12 * 2, (front & back sides)

14 * 2 + 14 * 2, (right & left sides)

12 * 14, (bottom)

24 + 24 + 28 + 28 + 168

48 + 56 + 168

= 272

The cost of filling the rectangular prism with sand is $530.4

Given Data

Volume of Prism = Length*Width*Height

Volume = 6*13*4

Volume = 312 cubic feet

If 1 cubic feet cost $1.70

312 cubic feet will cost x

x = 1.70*312

x = $530.4

Learn more about volume of prism here:

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Answer:

It's D) 95%

Step-by-step explanation:

It's the correct answer

The percentage of the times are between 2 hours and 4 hours is 45.5%.

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

Given that, μ=3 hour, σ=0.5 and x1=2 hours and x2=4 hours.

We know that, Z=(x-μ)/σ

Here, Z1=(2-3)/0.5

Z1=-2 = -0.2275

Z2=(4-3)/0.5

Z2=2 = 0.2275

= 0.2275-(-0.2275)

= 0.2275+0.2275

= 0.455

= 45.5%

Therefore, the percentage of the times are between 2 hours and 4 hours is 45.5%.

Learn more about the standard deviation visit:

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Answer:

[tex]-\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3} -(-\frac{1}{4}) =-\frac{2\times4}{3\times4} +\frac{1\times3}{4\times3}[/tex]

                 [tex]=-\frac{8}{12} +\frac{3}{12}[/tex]

                 [tex]=\frac{-8+3}{12}[/tex]

                 [tex]=-\frac{5}{12}[/tex]

Answer:

74.4 units

Step-by-step explanation:

Angle T = 48 degrees

now use law of sines

67/sin42  = x/sin48

sin48 * 67/sin 42 = 74.4

Answer:

C

Step-by-step explanation:

Answer:

9.1s

Step-by-step explanation:

Since we know that velocity is uniformly decelerating, we can take the average velocity: Letting Vf equale 0 /ms, we get 1/2 21.8ms or 10.9ms. Now we know V = D/T and rearranging this gives T = D/V. Substitute our velocity of 10.9m/s for V and 99m for D: T = 99m/ 10.9ms. finally we get T = 9.1s                

Hope This Helps :)

The time in which Anny drives in the rain is 90 minutes. This is calculated by using the speed-distance-time formula.

Speed is the ratio of distance traveled to the time taken for traveling.

Speed=distance/time

Unit: m/s

It is given that,

Anny drives at a speed of 50 miles per hour if it is not raining and drives at a speed of 30 miles per hour.

Today she drove in the sun in the morning and the rain in the afternoon, for a total of 120 miles in 180 minutes.

Consider x be the time required to drive not in the rain and y be the time required to drive in the rain

So, the distance covered (not in the rain) = 50x (since the speed is 50 mile/h), and the distance covered (in the rain) =30y (since the speed is 30 miles/h)

Therefore, the total distance covered both in rain and without rain is:

50x+30y=120 (since the total distance she drove is 120 miles)

And the total time required for driving in rain and without rain is:

x + y=3 (since 180 minute = 3 hours)

On solving the above equations we get,

x=[tex]\frac{3}{2}[/tex] and y=[tex]\frac{3}{2}[/tex]

Then,

y=[tex]\frac{3}{2}[/tex]×60(minute)=90 minute

Therefore, the time taken for her to drive in rain is 90 minutes.

Refer to more distance-related problems here:

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Answer: True

Step-by-step explanation:

There are two pairs of congruent angles, meaning the triangles are similar by AA.

It is true that based on the given information triangle RST is similar to triangle UVW by the AA similarity postulate.

Similar triangles are triangles that have the same shape but are different in size. More specifically, two triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Here,
Since a figure is given with two triangles, RST and UVW.
From the figure, we can see that there are two angles that are equal, are given as;

∠R=∠U    [measure is 67°]

∠T=∠W    [measure is 90°]

Thus, it is true that based on the given information triangle RST is similar to triangle UVW by AA similarity postulate.

Learn more about similar triangles here:

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Answer:

2. 26

Step-by-step explanation:

start with the brackets with 2×3-4 get the answer as 2 then divide 8 by the answer then subtract the answer you've got from 30

Answer:

Solution:

Given,

Work = 27 N

Displacement = 3 m

According to question,

Force = ?

As we know,

Work = Force × Displacement

or, 27 = Force × 3

or, Force = 27/3

i.e, Force = 9 N

answer:

the probability of selecting a book that is not good would be:
7/10

Answer:

c and d

reason:

they dont go over 40 hours

Answer:

Step-by-step explanation:

Natural log and the number 'e' are inverse to each other. Therefore, if you take the natural log of both sides, the exponential cancels and leaves 'x' isolated:

[tex]ln(e^x)=ln(15.29)[/tex]

[tex]x=ln(15.29)[/tex]

Let's solve for x

So natural logarithm on both sides

[tex]\\ \rm\Rrightarrow x=ln(15.29)[/tex]

[tex]\\ \rm\Rrightarrow x=2.73[/tex]

Answer:

a third

Step-by-step explanation:

Using proportions, supposing that 30% of the tiles are purple, it is found that the value of x is of x = 16.

A proportion is a fraction of a total amount.

In this problem, the ratio of purple tiles to white tiles is given by:

[tex]\frac{2x + 1}{4x + 13}[/tex]

We consider that 30% of the tiles are purple, hence 70% are white, which means that:

[tex]\frac{2x + 1}{4x + 13} = \frac{3}{7}[/tex]

Applying cross multiplication:

14x + 7 = 12x + 39

2x = 32

x = 16.

The value of x is of x = 16.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

48°F

Step-by-step explanation:

35 = x - 13

35 + 13 = x

48°F = x

Answer:

x=60º

Step-by-step explanation:

Answer: x=60º

180º-60º=120º

2x=120º

divide by 2 on both sides

x=60º