Simplify the expression
5[(13-7)2 +2]

Answer:

z = 100°

x = 40°

Step-by-step explanation:

Triangle CBD is isosceles so there are two 50°

DBC = 50°

That means BDC = 80° because 180(sum of angles in triangle) - 50 - 50 = 80

Z = 100° bc angle of straight line is 180° and 180 - 80 = 100

Now triangle ADB is also isosceles because there are two sides of equal length

So there will be 2*x + 100 = 180

x = 40°

Answer:

We know that half of the choir members are women, which means:

Number of women = 80/2 = 40

We also know that the number of men is one-quarter of the number of women, which means:

Number of men = 40/4 = 10

Now, we're given that the ratio of children to men in the choir is n:1. Let's call the number of children in the choir "c".

So, we have:

c : 10 = n : 1

We can cross-multiply to get:

c = 10n

Since we know that the total number of people in the choir is 80, we can set up another equation:

40 (women) + 10 (men) + c (children) = 80

Substituting c = 10n, we get:

40 + 10 + 10n = 80

Simplifying the left side, we get:

50 + 10n = 80

Subtracting 50 from both sides, we get:

10n = 30

Dividing both sides by 10, we get:

n = 3

Therefore, the value of n is 3

The correct one is Eden, the exponents should be added.

The mistakes are that Erin multiplies the exponents and Emma multiplies the bases.

Remember that when we have the product of two powers with the same base, we just need to add the exponents, so:

\(x^n*x^m = x^{n + m}\)

With that in mind, we can see that the one who did the operation correctly is Eden, because:

\(6^2*6^5 = 6^{2 + 5} = 6^7\)

The mistake for Erin is that she multiplied the exponents, while the problem for Emma is that she also multiplied the bases.

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After answering the provided question, we can conclude that t = 1.833 is standard deviation the critical value for a one-tailed t-test with 9 degrees of freedom and a significance level of 0.05.

A statistic that communicates the fluctuation or variance of a number set is the standard deviation. A high standard deviation indicates that the values seem to be more dispersed, whereas a low standard deviation indicates that the values are closer to the established mean. The standard deviation is a measure of how far the data varies from the mean (or ). So when standard deviation is small, the data tends to cluster around the mean; when it is huge, the data is more dispersed. The standard deviation represents the average variability of something like the data set. It displays the average deviation from the mean of each score.

To decide whether the new manufacturing technique should be used, we must first determine whether the standard deviation of the drug concentration in the new process is less than 4 g/l. A hypothesis test can be used with the following null and alternative hypotheses:

H0 (null hypothesis): In the new process, the standard deviation of drug concentration is 4 g/l.

Alternative hypothesis (Ha): In the new process, the standard deviation of drug concentration is less than 4 g/l.

For the standard deviation, we can use a one-tailed t-test with a

\(t = (n - 1) * s^2 / \sigma^2\\s = \sqrt(1/(n-1) * \sum(xi - x\bar)^2) = 0.004 g/l\\t = (n - 1) * s^2 / \sigma^2 = (10 - 1) * 0.004^2 / 4^2 = 0.0007\)

t = 1.833 is the critical value for a one-tailed t-test with 9 degrees of freedom and a significance level of 0.05.

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Answer:

This is amazing and funny but I would rather not give a stranger my phone number but i would if I wasnt such protective

Step-by-step explanation:

Answer:

cool

Step -by-step explanation:

brain list me please

Answer:

h=25-T/13 this is the answer

The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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9514 1404 393

Answer:

  8 seconds

Step-by-step explanation:

Your answer is the time interval at which the projectile is at or above ground level.

The way I read the question, it is asking for the value of t when the projectile hits the ground. It is 8 (seconds). My answer to this question would be 8, or 8 seconds.

__

Comment

We cannot tell whether the answer is intended to include units, or not. The usual clues are missing here.

Answer:

  Pears:  30

Step-by-step explanation:

Constant:

  3x + 5x + 2x = 150

                 10x = 150

                    x = 15  

Multiply ratio with constant from above:

  oranges : apples

       3 * 15 : 5 * 15

            45 : 75       ==>               45 oranges: 75 apples

  pears : apples

   2 * 15 : 5 * 15

        30 : 75          ==>                    30 pears: 75 apples

Check:

45 oranges + 75 apples + 30 pears = 150 fruits

To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

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Answer:ummm dont you mean "I need this,Its due today

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf x = 60\°}\)

Step-by-step explanation:

So,

100 + x + 20 = 180

x + 120 = 180

x = 180 - 120

x = 60°

\(\rule[225]{225}{2}\)

Answer:

If you overshare online your talking to strangers who can learn more about you

Step-by-step explanation:

Another danger is that they can find out more about you and try to kidnap you

Answer:

See explanation.

Step-by-step explanation:

1.

Someone can steal your information.

2.

They can pretend to be you, if your info is stolen.

3.

They can pretend to be someone else. They can also get you out of your school or college, and cause you harm.

hope this helps.

The odds in favor of the event happening are 5 to 4.

We have,

To find the odds in favor of an event happening, we use the formula:

Odds in favor = Probability of the event happening / Probability of the event not happening

In this case,

The probability of the event happening is 5/9.

The probability of the event not happening is 1 - 5/9, which simplifies to 4/9. So the odds in favor of the event happening are:

Odds in favor

= 5/9 / 4/9

= 5/4

Therefore,

The odds in favor of the event happening are 5 to 4.

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Answer:

9

Step-by-step explanation:

The reason why it is 9 is because if you look to the bigger triangle, you can see that 15 is 3/4 the size of 20, so once you find what number is 3/4 of 12, you have the answer, 9! Hope this helps!

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. A vector a that has the same direction as 〈−8,7,8〉 but has length 5 is〈−3.0136, 2.6439, 3.0136〉.

To find a vector with the same direction as 〈−8,7,8〉 but with a length of 5, we need to scale the vector 〈−8,7,8〉 by a factor that will result in the desired length. Since scaling a vector by a factor k results in a vector that has a length k times larger than the original vector, we can find the appropriate scaling factor by dividing the desired length by the length of the original vector.

First, we need to find the length of 〈−8,7,8〉 using the formula for the magnitude of a vector:

|〈−8,7,8〉| = \(\sqrt{(-8)^2 + 7^2 + 8^2)}\) = \(\sqrt{177}\)

Next, we divide the desired length of 5 by the length of the original vector to find the scaling factor:

\(\frac{5}{\sqrt{177} }\)  ≈ 0.3767

Finally, we multiply each component of 〈−8,7,8〉 by the scaling factor to get the vector a with the same direction as 〈−8,7,8〉 and a length of 5:

a = 0.3767 * 〈−8,7,8〉 = 〈−3.0136, 2.6439, 3.0136〉

Therefore, the vector a that has the same direction as 〈−8,7,8〉 but has length 5 is 〈−3.0136, 2.6439, 3.0136〉.

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The density of glycerin at 60°C is approximately 19.9592 g/cm³.

To find the density of glycerin at 60°C, we can use the volume expansion coefficient and the given density at 20°C.

The formula for volume expansion is:

ΔV = β * V₀ * ΔT

where:

ΔV is the change in volume,

β is the volume expansion coefficient,

V₀ is the initial volume, and

ΔT is the change in temperature.

In this case, we want to find the change in density, so we can rewrite the formula as:

Δρ = -β * ρ₀ * ΔT

where:

Δρ is the change in density,

β is the volume expansion coefficient,

ρ₀ is the initial density, and

ΔT is the change in temperature.

Given:

ρ₀ = 20 g/cm³ (density at 20°C)

β = 5.1 x 10⁻⁴ °C⁻¹ (volume expansion coefficient)

ΔT = 60°C - 20°C = 40°C (change in temperature)

Substituting the values into the formula, we have:

Δρ = - (5.1 x 10⁻⁴ °C⁻¹) * (20 g/cm³) * (40°C)

Calculating the expression:

Δρ = - (5.1 x 10⁻⁴) * (20) * (40) g/cm³

≈ - 0.0408 g/cm³

To find the density at 60°C, we add the change in density to the initial density:

ρ = ρ₀ + Δρ

= 20 g/cm³ + (-0.0408 g/cm³)

≈ 19.9592 g/cm³

Therefore, the density of glycerin at 60°C is approximately 19.9592 g/cm³.

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Answer:

Step-by-step explanation:

Hope this helps :)

Answer:

1.01 g/cm³

Explanation:

The density of drink is 1.01 g/cm³ when 25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and 280 cm³ of carbonated water to make a drink with a volume of 320 cm³.

25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and

280 cm³ of carbonated water to make a drink with a volume of 320 cm³.

Let us find the mass of each drink mixed to make the new drink

mass = density × volume

mass of apple juice =  1.05 × 25

                                = 26.25 g

Mass of fruit syrup = 1.4 × 15

                              = 21 g

Mass of carbonated water = 0.99 × 280

                                           = 277.2 g

Total mass of the drink = 26.25 g + 21 g + 277.2 g

                                      = 324.45 g

Volume of the given drink =  320 cm³

Density of the drink = total mass of liquids/ volume

                                = 324.45g/320cm³

                                 = 1.01 g/cm³

Thus, the density of drink is 1.01 g/cm³ when 25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and 280 cm³ of carbonated water to make a drink with a volume of 320 cm³.

Answer:

16 seconds

Step-by-step explanation:

Answer:

26r^2 + 36r.

Step-by-step explanation:

Answer:

y = -0.71

x = 8

Step-by-step explanation:

Bring variables on one side of the equation

18.3y - 8.4y = -14.6 + 7.6

4.1x - 0.7x = 25.9 + 1.3

Solve for the variable

9.9y = -7

y = -70/99

3.4x = 27.2

x = 8

Answer:

y=-1/2x-2

Step-by-step explanation:

slope is-2/4 buy simplified it would be -1/2

Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?

The fraction left to pay for the birthday party is 17/30.

The calculation is as follows:

1 * 1/4 = 1/4 … (1)

1/4 * 2/3 = 2/12 … (2)

2/12 * 1/10 = 2/120 … (3)

Fraction left to pay:

= 1 - (1/4 + 2/12 + 2/120)

= 1 - (30/120 + 20/120 + 2/120)

= 1 - (52/120)

= 1 - 13/30

= 30/30 - 13/30

= 17/30

Thus, the fraction left to pay for the birthday party is 17/30.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

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The value of the Sin D from the image that we have shown in the question is 0.89.

A right triangle's ratio of the lengths of the hypotenuse and the side opposite the angle is described by the trigonometric function known as the sine of an angle. "Sin" stands for the sine function, which is defined as follows:

(Length of the opposing side / Length of Hypotenuse) = sin(angle)

In other words, the hypotenuse length divided by the length of the opposing side equals the sine of an angle. Finding the correspondence between a right triangle's angles and sides is possible using the sine function.

We have that;

Sin D = 6/6.71

Sin D = 0.89

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Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Answer:

25

Step-by-step explanation:

\(\frac{20}{1}*\frac{5}{4}\) multiply by the reciprocal to divide

25 cross cancel and multiply to get 25

Answer:

The center is at (3,1) and the radius is \(\sqrt{8}\)

Step-by-step explanation:

I am going to assume you meant to write

\((x-3)^2+(y-1)^2 = 8\)

Since if both variables were x it would not be a circle:

Then you can find the center and radius using the general formula of a circle:

\((x-h)^2 + (y-k)^2 = r^2\)

where the center is at (h,k) and r is the radius

Therefore:

The center is at (3,1) and the radius is \(\sqrt{8}\)

Answer:

Step-by-step explanation:

Nancy has 43 peaches and 15 pears left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 53 peaches at the stand. How many did Nancy pick?