Simplify. the square root of 3 times the square root of 5

Answers

Answer 1

Answer:

[tex]\sqrt{15}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{3}[/tex] × [tex]\sqrt{5}[/tex] = [tex]\sqrt{3(5)}[/tex] = [tex]\sqrt{15}[/tex]


Related Questions

Jenny rolled a pair of number cubes, each with the numbers 1 through 6.
What is the probability that Jenny rolled two 1s?


A. 1/36
B. 1/18
C. 1/12
D. 1/6

Answers

Jenny rolled 1/18

Answer:

D. 1/18

In ΔMNO, m = 41 cm, o = 98 cm and ∠O=22°. Find all possible values of ∠M, to the nearest degree.

Answers

Answer:

Step-by-step explanation:

m / sin L M = o / sin L O

41/sin L M = 98/sin 22°

=> sin L M = 41×sin 22°/98

= 41×0,3746 / 98

= 0,1567

so, L M = sin~¹ 0,1567 = 9°

what is the correct answer​

Answers

Answer:

Step-by-step explanation:

B is correct answer

The correct answer is B

Given F(x) = 2x - 1; G(x) = 3x + 2; and H(x) = x 2, find the function F(x) + G(x) + H(x).

Answers

Answer:

if H(x) is x²

Step-by-step explanation:

[tex]3x + 2 + 2x - 1 + {x}^{2} = \\ 3x + 2x = 5x \\ {x}^{2} + 5x - 1[/tex]

im not sure exactly hehe

(2x – 1) (2x + 1) (4x2 + 1)(16x4 + 1) + 1

Answers

Answer:

Escribí esto, así que espero que quede claro.

Step-by-step explanation:

Maybe 256x square 8

Sabrina is tracking the growth rates of a colony of ants and of a bee hive. From her research, she has developed a function to represent the population growth of each type of insect, where y represents the population and x represents the number of weeks since Sabrina began her research.What is this function written in vertex form?

Answers

Answer:

A

Step-by-step explanation:

i think

The function that represent the growth rate of the population where y represents the population and x represents the numbers of weeks since Sabrina began her research is [tex]y=3.8^{x}[/tex] (for ant colony) [tex]y=3.8x[/tex] (for bee hive growth)

What is function?

"A  function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)."

What is research?

"Research is creative and systematic work undertaken to increase the stock of knowledge."

What is growth rate?

"The growth rate of change of population size, for a given country, territory, or geographic area, during a specified period."

As we know that we have to check the growth of the population. According to the given data, the rate of growth for ant colony is [tex]y=3.8^{x}[/tex] and also the growth rate of bee hive is [tex]y=3.8x[/tex]


Hence, the growth rate of ant colony is [tex]y=3.8^{x}[/tex] and the growth rate of bee hive is [tex]y=3.8x[/tex]

To know more about growth rate of population here

https://brainly.com/question/15133607

#SPJ2

What is 350-450:90+15x3

Answers

390 is the correct answer!

What is the measure of the unknown angle?

Answers

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

A store offers a discount of 10% to customers who spend more than $20.00. If a customer’s bill is $80.00, how much will he actually pay?

Answers

Answer:

Step-by-step explanation:

Answer:

$72.00

Step-by-step explanation:

Amount of discounted money

= 10/100 x $80.00

= $8

Amount he will pay

= $80.00 - $8.00

= $72.00

The scatter plot shows the relationship between tickets sales at a theme park and the number of cloudy days per month for the past year.

Theme Park Ticket Sales

(in thousands)

100

99

98

97

96

95

94

93

92

91

90

87

86

BS

0

9 10 11 12 13 14 15

Number of Cloudy Days per Month

Which statement best describes the relationship shown in the scatter plot?

A Ticket sales are high when there are few cloudy days.

O B. Ticket sales are low when there are many cloudy days.

C. Ticket sales go up if there are more cloudy days per month.

D. Ticket sales go down if there are more cloudy days per month

E Ticket sales are not affected by the number of cloudy days per month.

Answers

Answer:

E Ticket sales are not affected by the number of cloudy days per month.

Step-by-step explanation:

From the scatter plot Given, using visual observation, we can infer that the relationship between theme park ticket sales and the number of cloudy sales is randomly scattered with no defined linear pattern. That is, the plot does not ascertain of the number of ticket sales increases with increasing number of cloudy days, or vice versa. Hence, the relationship will best the described as concluding that ticket sales are not affected by the number of cloudy days per month.

Can someone help me please???

Answers

Answer:

35,691

Step-by-step explanation:

First step, look at the diagram and you see that you have a sphere and a cone.

The total surface area of a sphere is

[tex]A = 4\pi r^{2} \\A = 4\pi 39^{2} \\A = 19,113[/tex]

Since you only have half of a sphere, the surface area is 9,556.5

The surface area of the cone is

[tex]A = pi r(r+\sqrt{h^{2}+r^{2} }) A = \pi39(39+\sqrt{42^{2} +39^{2} } \\A=11,800[/tex]

You don't need the bottom of the cone however as it is connected to the half sphere.

So substract the area of a circle with a radius of 39 from the product of 19,113 + 11,800

The area of the circle is 4,778

Work out the size of angle X

Answers

Answer:

x = 105

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal if the lines are parallel

x = 105

Answer:

105°

Step-by-step explanation:

The angles are corresponding therefore they are equal

Consider the follow:ing sequence -3; 2; 7; 12. 12.1 Find an expression for the nth term​

Answers

Answer:

tn=t¹+d(n-1)

Step-by-step explanation:

d=common difference

t¹=1st term

n= the nth term

Answer:

Step-by-step explanation:

Sequence, so easiest way is difference between any 2 consecutive numbers

Neg 3 to 2, difference is 5

2 to 7, difference is 5

7 to 12 , difference is 5

So sequence result for n

= starting point + (n-1)(5)

Eg 2nd, N= 2

Starting point is neg 3

Sequence = -3 + 2-1 (5) = -3 + 5 = 2

9th, n = 9

-3 + 8(5)

-3 + 40

37

PLEASE HELP PLEASE PLEASE PLEASE ANSWER ALL OF THE QUESTIONS IF YOU KNOW GEOMETRY

Answers

1) I’m pretty sure for this one the answer is X = 1, -1 but that’s not an option. So I’d double check with your teacher so make sure there is no typo.
2) Q
3) +/- sq rt 19
The answer is the last one because it is

Katrina drinks 0.5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week there are 16 cups in I

Answers

Answer:

56 cups of water

Step-by-step explanation:

Katrina drinks 0.5 gallons of water per day

We have 7 days in a week, hence, the number of gallons of water she drinks per week is calculated as:

1 day = 0.5 gallons

7 days = x

Cross Multiply

1 day × x = 7 days × 0.5 gallons

x = 7 days × 0.5 gallons/1 day

x = 3.5 gallons

Note that 16 cups = 1 gallon

The number of cups of water she drinks per week is

1 gallon = 16 cups

3.5 gallons = x

Cross Multiply

1 gallons × x = 3.5 gallons × 16 cups

x = 3.5 gallons × 16 cups/1 gallons

x = 56 cups

Therefore, Katrina drinks 56 cups of water in a week

Tower A and B are 151 m apart.
From the top of tower A at 68 m above ground, the angle of elevation to the top of tower B is 23°.
How tall is tower B to the nearest metre?

Answers

Answer:

132m

Step-by-step explanation:

Height of tower B = Height of tower A + difference in height between tower B and A

The difference in height can be determined using tan

tan 23 = opposite / adjacent

tan 23 = opposite / 151

0.4245 x 151 = opposite

opposite = 64m

Height of tower B =  64m + 68m = 132m

Find MN. See image below.

Answers

Answer:

Step-by-step explanation:

Tangents from the point outside the circle are equal

NL = JL  

NM + ML =JK + KL

2x - 7 + 9 = 8 + 10  

     2x + 2 = 18      {Subtract 2 from both sides}

           2x = 18 - 2

          2x  = 16   {Divide both sides by 2}

             x = 16/2

x = 8

MN = 2*8 - 7 = 16 - 7 = 9

MN = 9

help I will give brainliest if you do everything

Answers

5a) 2x + 16

5b) The y intercept=16 represents the order cost excluding the prints themself.


Explanation: X = the # of prints ordered and each print costs $2 to add to the order.


6a) 7x + 5

6b) 47 inches

PLZ HELP ASAP FOR AP3X

Answers

I don’t know it’s hard

Answer:

A -  y = cos(x-1)

Step-by-step explanation:

This is what it looks like when you graph y = cos(x-1). It matches the graph on your question exactly, this graph is just using trig concepts.

Please give me brainliest if my answer was right. :)

Solve for x and y in the system of equation
3x²+4y=17
2x²+5y=2
I'll mark brainliest​

Answers

Answer:

[tex]x=\pm \sqrt{11} \\y=-4.[/tex]

Step-by-step explanation:

[tex]\left \{ {{3x^2+4y=17} \atop {2x^2+5y=2}} \right. \\\\Then\\\\\left \{ {{2 \times (3x^2+4y)=2 \times 17} \atop {3\times(2x^2+5y)=3\times2}} \right. \\\\\left \{ {{6x^2+8y=34 \quad (1)} \atop {6x^2+15y=6\quad (2)}} \right.\\\\(1)-(2) \Rightarrow -7y=28 \Rightarrow y =-4.\\Since \: \: 2x^2+5y=2 \Rightarrow 2x^2=2-5y\\\Rightarrow 2x^2=2+20=22\\\Rightarrow x^2=22:2=11\\\Rightarrow x=\pm \sqrt{11}.[/tex]

Let n be an odd integer with exactly 11 positive divisors. Find the number of positive divisors of 8n^3

Answers

Answer: 124

Step-by-step explanation:

As we know, the total number of positive divisors of n is the product of one more than each exponent in the prime factorization of n.

We know this product is equal to 11.

Since 11 is prime, so there can be only one number in this product, so the prime factorization of n must be [tex]$n=p^{10}$[/tex], where p is a prime number.

We take a cube of the prime factorization of n to give us a prime factorization for [tex]n^3[/tex]

[tex]$$n^{3}=\left(p^{10}\right)^{3}=p^{30} .$$[/tex]

We see that [tex]n^{3}\text{ has }$30+1=31$[/tex] positive divisors.

Now, [tex]8n^3=2^3\times p^{30}[/tex]

Totald divisiors = [tex](3+1)(30+1)=4\times31=124[/tex]

Hence, the number of positive divisors of [tex]8n^3=124[/tex]

The vertex of this parabola is at (-5, 4). Which of the following could be its
equation?

Answers

Answer:

A. y = -(x + 5)^2 + 4

Step-by-step explanation:

After a small online search, I've found that the options are:

A. y = -(x + 5)^2 + 4

B. y = -(x - 5)^2 + 4

C. y = -(x + 5)^2 - 4

D. y = -(x - 5)^2 - 4

For a quadratic equation with a vertex at the point (h, k) is written as:

y = a*(x - h)^2 + k

Where a is the leading coefficient.

So, if here we have the vertex at (-5, 4)

y = a*(x - (-5))^2 + 4

y = a(x + 5)^2 + 4

Then the correct option is the first one, where a = -1, then the correct option is A.

What is the volume of the triangular prism?

Answers

Answer:

48 in³

Step-by-step explanation:

the volume = ½×3×4 × 8 = 48 in³

The ratio of men to women working for a company is 4 to 7. If there are 165 employees total, how many women work for the company?

Answers

Answer: 105

Step-by-step explanation:

Given

The ratio of men to women working for a company is 4:7

There are total of 165 employees

Suppose, there is  4x men and 7x women such that the ratio remains constant

[tex]\therefore 4x+7x=165\\\Rightarrow 11x=165\\\Rightarrow x=15[/tex]

[tex]\text{Men= }4\times 15=60\\\text{Women= }7\times 15=105[/tex]

In a class of students, the following data table summarizes how many students have a cat or dog. What is the probability that a student chosen randomly from the class has a cat?

Answers

Answer:

from this we know there is 30 people in the class and 14 of them have a cat so the probability is 14/30

14/30

7/15

7/15 as a percent is 46.6667%

Copy and complete. Answer: (a) Increased by % (b) Increased by % (c) Decreased by % (d) Decreased by % (e) Increased by % (f) Decreased by %

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete; However, one can deduce from the options that the question refers to percentage change.

I will give two illustrations that shows how to calculate percentage change.

Illustration 1

Consider goods x with the following price change.

[tex]Old = \$45[/tex]

[tex]New = \$55[/tex]

The percentage change is:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

[tex]\%Change = \frac{55-45}{45} * 100\%[/tex]

[tex]\%Change = \frac{10}{45} * 100\%[/tex]

[tex]\%Change = \frac{1000}{45} \%[/tex]

[tex]\%Change = 22.22\%[/tex]

This means there is a 22.22% increase

Illustration 2

Consider goods x with the following price change.

[tex]Old = \$45[/tex]

[tex]New = \$35[/tex]

The percentage change is:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

[tex]\%Change = \frac{35-45}{45} * 100\%[/tex]

[tex]\%Change = \frac{-10}{45} * 100\%[/tex]

[tex]\%Change = -\frac{1000}{45} \%[/tex]

[tex]\%Change = -22.22\%[/tex]

The negative sign indicates percentage decrease

So, this means there is a 22.22% decrease

How many solutions are there to the following equation?
2- 5x= 3(2 – 3x)
A. O
B. 1
C. Infinitely many

Answers

the answer should be c

31 x 01111111111111111111111111

Answers

3.4444444444444444444444444444

Answer:

3.444444444444444

Step-by-step explanation:

Help geometry ……………..

Answers

Answer:

Angle F

Step-by-step explanation:

Answer:   Angle F

=====================================================

Explanation:

We see that angle A = angle E as shown by the arc marking. The tickmark says that side AB is the same length as side EF.

In the letter sequences "AB" and "EF", erase the first letters A and E to be left with B and F. This is one way to show how angle B pairs with angle F, and that is enough to show the two angles are congruent.

Please help I’ll give brainliest

Answers

Answer:

23

Step-by-step explanation:

I DID 7*3+2 & GOT 23

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