5.5 minutes = 330 seconds
A. True
B. False

9514 1404 393

Answer:

  B.  1.80

Step-by-step explanation:

The change of base formula can be used.

  \(\log_5(18)=\dfrac{\log{18}}{\log{5}}\approx\dfrac{1.25527}{0.69897}\approx1.7959\\\\\boxed{\log_5{18}\approx1.80}\)

_____

Some calculators can compute the value for you directly.

Answer:

8√2

2√2

Step-by-step explanation:

Using arc length for parametric equations:

s = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt

x = 2 sin²t

dx/dt = 4 sin t cos t

y = 2 cos²t

dy/dt = -4 sin t cos t

s = ∫ √((4 sin t cos t)² + (-4 sin t cos t)²) dt

s = ∫ √(32 sin²t cos²t) dt

s = ∫ 4√2 sin t cos t dt

s = ∫ 2√2 sin(2t) dt

s = -√2 cos(2t)

If we evaluate this between t=0 and t=2π, we get s = 0.  This means the particle travels forward and backward on the same curve.

sin²t and cos²t have periods of π, so if we evaluate from t=0 to t=π/2:

s = -√2 cos(2 (π/2)) − -√2 cos(0)

s = √2 + √2

s = 2√2

So the particle travels 2√2 four times from t=0 to t=2π.

The distance traveled is 8√2.  The length of the curve is 2√2.

We can check our answer by eliminating the parameter.

x + y = 2 sin²t + 2 cos²t

x + y = 2

y = 2 − x

The curve is the line y = 2 − x from (0, 2) to (2, 0).  Using distance formula to find the length of the line:

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((2 − 0)² + (0 − 2)²)

d = 2√2

Answer:

around 4 maybe?

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

sorry if its wrong but im pretty sure its 25%

the answer is 3/8

give me a brainliest

5^3

= 5×5×5

= 25×5

= 125

Answer: 125

The point (2,-4) satisfies y < 3x - 6

Answer:

17÷86×100%

=0.19×100%

=19%

I) The angles are not equal then the two triangles are not Congruent.

ii) The point E is 1.5 from point B.

A line that divides the line into two distinct or equal segments is referred to as a "bisector." It is applied to angles and line segments.

A ray that divides an angle into two equal pieces is known as an angle bisector or the bisector of an angle.

Given:

As, <CAB = 19.4 and <DAB = 33.7

So,  CAD and DAB are not congruent.

ii) The point E should be located 1.5 away from point B.

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Answer: Aaron’s rate for mowing lawns is 0.5 acres per hour

Step-by-step explanation:

Hope this helps!!

The statement "The rate to mow a lawn is 0.5 acres per hour" correctly describes the slope of the line passing through the given points.

We have,

To determine the slope of the line passing through the points (3, 1.5) and (5, 2.5), we can use the slope formula:

Slope = (change in y) / (change in x)

Given the two points, we can calculate the change in y and the change in x:

Change in y = 2.5 - 1.5 = 1

Change in x = 5 - 3 = 2

Plugging these values into the slope formula:

Slope = 1 / 2 = 0.5

The slope represents the rate of change of the y-coordinate (area) with respect to the x-coordinate (time).

In this case, a slope of 0.5 means that for every hour it takes Aaron to mow a lawn (change in x), the area mowed (change in y) increases by 0.5 acres.

Therefore,

The statement "The rate to mow a lawn is 0.5 acres per hour" correctly describes the slope of the line passing through the given points.

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The simplified value of the expression ((2⁵ x 5²² - 2 x 5²¹) / 25¹⁰ is 790.

To simplify the expression (2⁵ x 5²² - 2 x 5²¹) / 25¹⁰.

we can use the properties of exponents and the fact that 25 = 5².

First, let's simplify the numerator:

(2⁵ x 5²² - 2 x 5²¹)

Using the distributive property, we can factor out 5²¹ from both terms:

= 5²¹ x (2⁵ x 5 -2)

= 5²¹ (32 x 5- 2)

= 5²¹ (160-2)

= 5²¹ x 158

Now, let's simplify the denominator: 25¹⁰

Since 25 = 5², we can rewrite it as (5²)¹⁰, which gives us:

=  (5²)¹⁰

= 5²⁰

Using the quotient rule of exponents \((a^m / a^n = a^{(m-n)})\), we can simplify further:

=  5²¹ x 158 / 5²⁰

= 5²¹⁻²⁰ x 158

= 5 x 158

= 790

Therefore, the simplified value of the expression ((2⁵ x 5²² - 2 x 5²¹) / 25¹⁰ is 790.

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Answer

A. factor

Explanation

The given expression is 2 x 5 + 7(3 + 13)

In the expression given, '7' represents a factor because after adding 3 and 13, you would need to multiply it by 7.

Hence, the correct option is:

A. factor

Answer:

it's telling you to solve for the white rectangle and the answer is 0.48

Answer:

(-2, 8)

Step-by-step explanation:

8x + 5y = 24

8x + 5(-4x) = 24

8x + -20x = 24

-12x = 24

-12x/-12 = 24/-12

x = -2

----------------------------

y = -4(-2)

y = 8

--------------------------

8(-2) + 5(8) = 24

-16 + 40 = 24

24 = 24

Answer:

$185.19

Step-by-step explanation:

Answer: 0.0623

Step-by-step explanation:

The probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.

It is given that multiple choice test contains 25 questions with 5 answer choices.

To find probability of correctly answering.

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

Given that:

The probability of each correct answer is  \(p_{s}\)\(=\frac{1}{5}\)

The probability of 8 successful answers in 25 independent trials for a binomial probability distribution is:

p(k|n)=\(\frac{n!}{(n-k)!*n!}\)\(p_{s}^{k} (1-p_{s})^{n-k} \\\)

p(8|25)=\(\frac{25!}{(25-8)!*8!}\)\({\frac{1}{5} }^{k} (1-1/5)^{25-8} \\\)

p(8|25)=0.062348

So, the probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.

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Answer: 150

Step-by-step explanation:

You got it right, just divide 300 by 2 :)

Answer:

150

Step-by-step explanation:

50% is half if everything... half of 300 is 150

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

x = 1.8

Step-by-step explanation:

7x = 17x - 18

bring all x values to a side

7x -17x = -18

-10x = -18

divide by -10

x = 9/5 = 1.8

The value of x is 6.

We know from Mid point theorem

The Midpoint Theorem, also known as the Midsegment Theorem, states that in a triangle, the line segment connecting the midpoints of two sides is parallel to the third side and is half its length.

So, from the figure we can write

7x = 1/2 (17x - 18)

7x (2) = 17x - 18

14x = 17x - 18

By subtracting 17x from both sides to eliminate the x term on the right side:

14x - 17x = 17x - 17x - 18

-3x = -18

Next, divide both sides of the equation by -3 to solve for x:

(-3x) / -3 = (-18) / -3

x = 6

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The probability that the sample mean weight change is greater than 10 pounds is p(M > 10) = 0.9088.

To find the probability that the sample mean will be greater than M = 10 pounds, we need to standardize the sample mean using the formula for z-score:

z = (M - µ) / (σ / √n)

Substituting the given values, we get:

z = (10 - 15) / (6 / √4)

z = -1.33

Using a standard normal distribution table or calculator, we can find the probability that z is greater than -1.33, which is approximately 0.9088.

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Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

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The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(n) = 3(n + 2)²(n - 3)(n - 2).

Considering the degree, the function can be interpreted as follows:

\(3n^4\)

(for the limit when the input goes to infinity we consider only the term with the highest degree).

The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:

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Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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This interval is wider than the confidence interval in part (a) and the prediction interval in part (b) because it is based on the entire population of metal pieces, not just a sample.

(a) To find a 99% confidence interval on the mean diameter, we can use the t-distribution with n-1 degrees of freedom since the population standard deviation is not known. The formula for the confidence interval is:

CI = x ± tα/2,s/√n

where x is the sample mean, s is the sample standard deviation, n is the sample size, and tα/2 is the t-value with (n-1) degrees of freedom for the desired level of confidence α.

Plugging in the values, we get:

CI = 1.0056 ± t0.005/2,0.0246/√9

= 1.0056 ± 0.025

= (0.9806, 1.0306)

Therefore, we can be 99% confident that the true mean diameter of the metal pieces produced by the machine is between 0.9806 and 1.0306 centimeters.

(b) To compute a 99% prediction interval on a measured diameter of a single metal piece taken from the machine, we can use the formula:

PI = x ± tα/2,s(1 + 1/n)√(1 + 1/n)

where x is the point estimate of the diameter (in this case, the sample mean), s is the sample standard deviation, n is the sample size, and tα/2 is the t-value with (n-1) degrees of freedom for the desired level of confidence α.

Plugging in the values, we get:

PI = 1.0056 ± t0.005/2,0.0246(1 + 1/9)√(1 + 1/9)

= 1.0056 ± 0.052

= (0.9536, 1.0576)

Therefore, we can be 99% confident that a single metal piece produced by the machine will have a diameter between 0.9536 and 1.0576 centimeters.

(c) To find the 99% tolerance limits that will contain 95% of the metal pieces produced by this machine, we can use the formula:

TL = x ± kσ

where x is the sample mean, σ is the population standard deviation (which is estimated by the sample standard deviation s), k is the number of standard deviations from the mean that will contain the desired percentage of the population (in this case, 95% or 1.96 standard deviations for a normal distribution).

Plugging in the values, we get:

TL = 1.0056 ± 1.96(0.0246)

= (0.9573, 1.0539)

Therefore, we can be 99% confident that 95% of the metal pieces produced by the machine will have diameters between 0.9573 and 1.0539 centimeters. This interval is wider than the confidence interval in part (a) and the prediction interval in part (b) because it is based on the entire population of metal pieces, not just a sample.

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The option that is extraneous solution of

√-3x-2=x+2 is A. -6.

From the information given, taking square both sides

-3x - 2 = (x + 3)²

On applying identity   = a² + b² + 2ab

Then ,

-3x -2 =  x² + 2² + 2 * 2 *x

-3x -2 =  x² + 4 + 4x.

On adding both sides by 3x

-2 =  x² + 4 + 4x + 3x

-2 =  x² + 4 + 7x

On adding both sides by 2

0 =  x² + 4 + 7x + 2

On switching sides

x² +7x + 6 = 0

On Factoring

x² +6x + x + 6 = 0

x ( x+ 6 ) +1 (x +6 ) = 0

On grouping

( x +1) ( x +6) = 0

x = -1, -6.

An extraneous solution is a root of a transformed equation that is not a root of the original equation. Therefore, -6 is the extraneous solution.

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Complete question

Which of the following is an extraneous solution of sqrt(-3x-2)=x+2 a.-6 b.-1 c.1 d.6

Answer:

Expected value of the game is $1.75

Step-by-step explanation:

The probability of getting a head or a tail on flipping a coin is 1/2 and so the probability of winning is 1/2 as we need all heads or all tails . There are 3 fair coins so the expected value of winning is given by =

P(1st coin =x =head)= 1/2

P(2nd coin =x =head)= 1/2

P(3rd coin =x =head)= 1/2

P(1st coin =x =tail)= 1/2

P(2nd coin =x =tail)= 1/2

P(3rd coin =x =tail)= 1/2

E(X= win) = ∑xP(x)=  (1/2)³+(1/2)³= 1/8 + 1/8= 2/8

Expected value of winning the game is $ 7*2/8= 14/8=$ 1.75

$ 1.75- $1= $ 0.75

$ 0.75 (8) = $ 6

This means that for a total of $ 8  he gets $ 6.

Ayaan drank 11/4 bottles of water during the soccer game, which can be expressed as a mixed numeral 2 and 3/4.

To convert the fraction 11/4 to a mixed numeral, we need to determine the whole number part and the fractional part.

Divide the numerator (11) by the denominator (4).

11 ÷ 4 = 2 remainder 3

The quotient 2 represents the whole number part, and the remainder 3 represents the fractional part.

Write the mixed numeral using the whole number part and the fractional part.

The mixed numeral for 11/4 is:

2 and 3/4

Therefore, Ayaan drank 11/4 bottles of water during the soccer game, which can be expressed as a mixed numeral 2 and 3/4.

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Step-by-step explanation:

It is given that,

A building is 34 inches wide. Its 14 inches is concrete, 12 inches is brick, and 8 inches is limestone. We need to find the fraction of the wall is brick.

A fraction is in the form of x/y. y is total value and x is a part of y.

Here, 12 inches is brick. So, its fraction is :

\(F=\dfrac{12}{34}=\dfrac{6}{17}\)

So, fraction of \(\dfrac{6}{17}\) is the wall which is brick.

Answer:

X = 9

Step-by-step explanation:

Vertical angles equal to each other, the example shows vertical angles.

6x + 2 = 54

-2 -2

6x/6 = 54/6

X = 9

Hope this helps you have a nice day!