square root of 3x^4 times square root of 5x^2 times square root of 10.

Multiply and remove all perfect squares from inside the square roots. Assume x is positive.

Hey there!

f(x) = 2x^2 + 1

y = 2x^2 + 1

y = 2(3)^2 + 1

3^2

= 3 * 3

= 9

y = 2(9) + 1

2(9) = 18

y = 18 + 1

y = 19

Answer: y = 19

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The answer is:

f(3) = 19

Work/explanation:

To evaluate the function, I plug in 3 for "x" :

[tex]\rm{f(x)=2x^2+1}[/tex]

[tex]\rm{f(3)=2(3)^2+1}[/tex]

Then, I square 3:

[tex]\rm{f(3)=2\times9+1}[/tex]

Take caution here; we do not add 9 + 1, we multiply 2 times 9 first, and only then, we add 1.

[tex]\rm{f(3)=18+1}[/tex]

[tex]\rm{f(3)=19}[/tex]

Answer:

B. 24 ft

Step-by-step explanation:

1 in = 3ft

8 in must equal 24 ft since 8 in x 3 ft is 24 ft. So, B.

The length of the boat will be equal to 24 ft.

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that:-

The actual length will be calculated as follows:-

1 in = 3 ft.

8 in = 8 x 3 ft

8 in = 24 ft.

Therefore the length of the boat will be equal to 24 ft.

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The distance from his hotel to his home is 89 miles.

Given - Ronald's home is located 33 miles west and 56 miles north of his hotel.

To find the distance between Ronald's hotel to his home, add the distance.

∴ [tex]33 + 56 = 89[/tex]

Therefore, the distance from his hotel to his home is 89 miles.

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9514 1404 393

Answer:

  4a. 177

  4b. 248

  5a. 27

  5b. 9

  5c. 12

Step-by-step explanation:

a) x is 3/4 of 1/2 of all, so is 3/8 of all.

  x = 3/8·472

  x = 177

b) x is 2/5 of 2/3 of all, so is 4/15 of all.

  x = 4/15·930

  x = 248

__

Elaine gave her grandmother 3/4 of 48 = (3/4)(48) = 36 of the flowers. Then Elaine had 48 -36 = 12 flowers left.

Her grandmother gave 1/4 of 36 flowers = (1/4)(36) = 9 of the flowers to her neighbor. Elaine's grandmother has 36 -9 = 27 flowers now.

Answer:

Step-by-step explanation:

Answer:

3x-7y and -7y+ 3x

Step-by-step explanation:

3x +  (-7y) = (-7y) + 3x

Answer:

Step-by-step explanation:

The first set of expressions are equivalent; they are identical except for order of the terms.

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

usually when your variable is an exponent you always take the log of both sides.

The possible first step of solving the equation is log 5^x = log 21

The equation is given as:

5^x = 21

Take the logarithm of both sides of the equation

log 5^x = log 21

The above represents the possible first step of solving the equation

Hence, the possible first step of solving the equation is log 5^x = log 21

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Answer:

Step-by-step explanatiobxbsbsx

xbsbxs sbsbx

bxbxb xx xgsgsywubxhshs bxhx ss

bx bx sh bxsh sxhssbxhs

Answer:     They cant actually be proven to be congruent

Step-by-step explanation:    this is because each triangle only shows an angle (The half circle) and a side (The little tick/line on the side of the triangle). Please make sure to give me the brainliest answer!

Answer:

open degrees

Step-by-step explanation:

because I am added all the numbers so it comes

I can't understand that question

1. C

2.A

3.D

4.B

Here's the answer.

Answer:

1 C

2 A

3 D

4 B

Step-by-step explanation:

The y-intercept is whenever the graph crossses the y-axis, so the input will always be 0.

When f(x) > 0, that's when the output is greater than 0, so it would be above the x-axis.

The x-intercept is whenever the graph crosses the x-axis, so the output will always be 0.

Hope that helps (●'◡'●)

Answer:

16

Step-by-step explanation:

10 + sqrt(y) = 14

Subtract 10 from each side

10 -10+ sqrt(y) = 14-10

sqrt(y) = 4

Square each side

(sqrt(y)) ^2 = 4^2

y = 16

Hello!

[tex]10 + \sqrt{y} = 14 \\ \sqrt{y} = 14 - 10 \\ \sqrt{y} = 4 \\ y = 16[/tex]

A is the answer.

Good studies!

Part A: The amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s  is 6.045 × 10⁴⁰ ergs.

Since the sun produces 3.9 × 10³³ ergs of radiant energy per second, which is  a rate, r = 3.9 × 10³³ ergs/s.

We require the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s.

So, this heat Q = rate × time

Q = rt

Substituting the values of r and t into the equation, we have

Q = 3.9 × 10³³ ergs/s × 1.55 × 10⁷ s

Q = 6.045 × 10³³ × 10⁷ ergs

Q = 6.045 × 10⁴⁰ ergs

So, the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s  is 6.045 × 10⁴⁰ ergs.

Part B: The measurement of the diameter of human hair 1.8 × 10⁻² mm is more reasonable.

Since 1.8 × 10⁻² mm = 1.8  × 10⁻² mm  ×  1cm/10 mm = 1.8  × 10⁻³ cm (since 10 mm = 1 cm) and

1.8 × 10² mm = 1.8 × 10² mm × 1 cm/10 mm = 1.8 × 10 cm = 18 cm (since 10 mm = 1 cm)

Since the human hair is small and its diameter of human hair cannot be 18 cm since 18 cm is a large diameter, then the diameter of the human hair has to be 1.8  × 10⁻³ cm = 1.8  × 10⁻² mm which is a small value.

So, measurement of the diameter of human hair 1.8 × 10⁻² mm  is more reasonable.

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Answer:

WAS THE OTHER ANSWER CORRECT????

Step-by-step explanation:

If 0 < θ < π/2, then 0 < θ/2 < π/4, and for such angles we expect sin(θ/2) to be positive. Also, we know both sin(θ) and cos(θ) will be positive.

Given that tan(θ) = 2, we can find sec(θ) from the Pythagorean identity:

tan²(θ) + 1 = sec²(θ)   ==>   sec(θ) = √(tan²(θ) + 1)

…   ==>   cos(θ) = 1/√(tan²(θ) + 1)

…   ==>   cos(θ) = 1/√5

Now, recall the half-angle identity for sine:

sin²(θ/2) = (1 - cos(θ))/2

==>   sin(θ/2) = √[(1 - cos(θ))/2]

==>   sin(θ/2) = √[(1 - 1/√5)/2]

==>   sin(θ/2) = √[(√5 - 1)/(2√5)]

==>   sin(θ/2) = √[(5 - √5)/10]

Answer:

[tex]\left(6x^2-4x-5\right)\left(2x^2+3x\right)[/tex]

[tex]=6x^2\cdot \:2x^2+6x^2\cdot \:3x+\left(-4x\right)\cdot \:2x^2+\left(-4x\right)\cdot \:3x+\left(-5\right)\cdot \:2x^2+\left(-5\right)\cdot \:3x[/tex]

[tex]=6\cdot \:2x^2x^2+6\cdot \:3x^2x-4\cdot \:2x^2x-4\cdot \:3xx-5\cdot \:2x^2-5\cdot \:3x[/tex]

[tex]=12x^4+10x^3-22x^2-15x[/tex]

OAmalOHopeO

Answer:

These two figures are not similar because 4/8 does not equal 6/10.

Answer:

90 units

Step-by-step explanation:

circumference C = 2 [tex]\pi[/tex]r

taking [tex]\pi[/tex] as 3.

C = 2 × 3 × 15

(15 is the radius of the circle)

C = 90 units

Answer:

90

Step-by-step explanation:

The Answer will be 90 because Pie is being replaced with 3, so it would be like 2(3)(15) which equals to 90.

But If Pie remains pie the equation would look like (2)(3.14)(15) which would turn out to be 94.2

Answer:

A. T,R,Snhjiooooogfderyyffddt

Answer:

L=25

W=10

Step-by-step explanation:

Answer:

Use the perimeter to find x:

[tex]x + x + 6x + 6x = 70\\14x=70\\x=5[/tex]

Therefore,

Answer:

(x) = 5000(0.4)x, with a horizontal asymptote of y = 0

Step-by-step explanation:

The function is in the form

y = a b^x

where a is the initial value and b is the growth (or decay rate)

a = 5000 and b = 40 %

(If we have been given 40 % dies off we would have taken 1-40% or 1- .4)

y = 5000 ( .4) ^x

This has a horizontal asymptote at y = 0 because we will never get to 0 bacteria.  There will always be part of a bacterial left

Answer:

f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0

Step-by-step explanation:

Edge

Answer:

[tex]u = \frac{y - (xd) { }^{2} }{3x {}^{2} } [/tex]

Step-by-step explanation:

3u=y/x^2-d^2

3u=y-(xd)^2/x^2

u=y-(xd)^2/3x^2

Answer:

540$

Step-by-step explanation:

9x9 = 81

9 + 9 + 9 + 9 = 36

36 x 15 =540

Step-by-step explanation:

AS=∅πr²/360

where ∅=52°, R=10

AS=52°×π×(10)²/360

AS=14.4π

that is the answer

do you have another question to ask me

Answer:

2

Step-by-step explanation:

x + y = 10

y = 8

Substituting in equation,

x + 8 = 10

=>x = 10 - 8

=>x = 2

Answer:

18

Step-by-step explanation:

The height of the cone is 8, and the diameter is 3. This means that the radius is 3/2, or 1.5. We can plug everything into the formula (using 3 for pi):

[tex]\frac{3(1.5)^2(8)}{3}[/tex]

We can cancel out the 3 from the numerator and the denominator, so we are left with 1.5^2 times 8. 1.5 squared is equal to 2.25, and 2.25 times 8 is equal to 18.

Answer:

a)[tex]X=3300[/tex]

b)[tex]Y=7770[/tex]

Step-by-step explanation:

From the question we are told that:

Number Teachers [tex]T=6[/tex]

Number Student [tex]S=12[/tex]

Number in committee [tex]n=5[/tex]

a) Generally the equation for exactly 3 students on the committee is mathematically given by

[tex]X=^{S}C_3*^{T}C_3[/tex]

[tex]X=^{12}C_3*^{6}C_3[/tex]

[tex]X=3300[/tex]

b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by

Total Ways-(no of ways of selection no teacher or student)

Where total Ways

[tex]T=^{(6+12)}C_5[/tex]

[tex]T=8568[/tex]

Therefore

[tex]Y=8568-^{6}C_0*^{12}C_5+^{12}C_0*^{6}C_5[/tex]

[tex]Y=8568-798[/tex]

[tex]Y=7770[/tex]

Answer:

$4,208.5

Step-by-step explanation:

The simple interest rate of the college savings account, R = 5.5%

The amount with which the account was opened, P = $500

The amount added each month to her account = $50

The amount in her account after 4 years = Required

The interest on each added $50 is given as follows;

50  × 0.055/12 × (1 + 2 + 3 + ... + 47) = 50  × 0.055/12 × (47/2)(1 + 47) = 258.5

The total amount deposited = 500 + 50 × 47 = $2,850

The total interest = 500×0.55×4 + 50  × 0.055/12 × (47/2)(1 + 47) = 1,358.5

The amount in her account at the end of 4 years, A, is given as follows

A = $2,850 + $1,358.5 = $4,208.5

Answer:

180

Step-by-step explanation:

Consider the equation x + y + z = 15

From algebraic identities, we know that (a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)

So,

(x + y + z)^2 = x^2 + y^2 + z^2 + 2(xy + yz + xz)

From the question, x^2 + y^2 + z^2 = 83 and x + y + z = 15

So,

152 = 83 + 2(xy + yz + xz)

=> 225 – 83 = 2(xy + yz + xz)

Or, xy + yz + xz = 142/2 = 71

Using algebraic identity a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca),

x3 + y3 + z3 – 3xyz = (x + y + z)(x² + y² + z² – (xy + yz + xz))

Now,

x + y + z = 15, x² + y² + z² = 83 and xy + yz + xz = 71

So, x^3 + y^3 + z^3 – 3xyz = 15(83 – 71)

=> x^3 + y^3 + z^3 – 3xyz = 15 × 12

Or, x^3 + y^3 + z^3 – 3xyz = 180

Answered by GAUTHMATH