If a black hole is "black, and dark" how can we see it in the dark, cold space?

Answer: 8 grams

Step-by-step explanation: We first need to know the proper conversions. In this case, 1g is equal to 1000mg. So, divide 5000 by 1000 to get 5. Then, we add 3 grams since it was the starting amount.

Answer:

see below

Step-by-step explanation:

To graph this equation, start at the origin (0,0) since there is not y-intercept.

Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.

Because the rise (up and down, numerator) is 1, we know that we will go up one unit.

The run (side to side, denominator) is 4, so we will go to the right 4 units.

This makes the first point (4, 1).

Continue doing this until you get an idea of the line and connect the points to get the graph

Answer:

Info down in Explaination

Step-by-step explanation:

To graph this equation, start at the origin (0,0) since there is not y-intercept.

Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.

Because the rise (up and down, numerator) is 1, we know that we will go up one unit.

The run (side to side, denominator) is 4, so we will go to the right 4 units.

This makes the first point (4, 1).

Continue doing this until you get an idea of the line and connect the points to get the graph

Step-by-step explanation:

the answer is in the above image

Answer:

Q 1 a = 4, b = 7, c = 3

Q 2 a = 4, b = 343

Step-by-step explanation:

Question 1:

\(x^{\frac{y}{z}} = \sqrt[z]{x^y}\)

using the above equation we can compare and get the answer,

a = 4, c = 3, b = 7

Question 2:

in SIMPLIFIED, we can evaluate \(7^3\) and convert it in the required form

\(7^{\frac{3}{4}} = \sqrt[4]{7^3}\)

a = 4, b = 343

Hopefully this answer helped you!!

Answer:

a=4, b = 7, c = 3
Simplified: a = 4, b = 343

Step-by-step explanation:

in Fractional exponents:

\(x^{\frac{1}{n} } = \sqrt[n]{x}\) (The n-th Root of x)

Another way to explain it: the numerator is the power and the denominator is the root

for example:

\(4^\frac{1}{2} = \sqrt{4} = 2\)

Another example:

\(8^{\frac{1}{3} } = \sqrt[3]{8}=2\)

This problem:

\(7^{\frac{3}{4} } = (7^{3} )^{\frac{1}{4} } = \sqrt[4]{7^{3} } = \sqrt[4]{343}\)

Answer: serbia

Step-by-step explanation:

Answer: 0.876, 9.123

Step-by-step explanation:

The function is \(y=-x^2+10-8\)

It meets the ground level when \(y\) is 0

\(\Rightarrow -x^2+10x-8=0\\\Rightarrow x^2-10x+8=0\\\\\Rightarrow x=\dfrac{10\pm \sqrt{(-10)^2-4(1)(8)}}{2}\\\\\Rightarrow x=\dfrac{10\pm \sqrt{68}}{2}\\\\\Rightarrow x=5\pm \sqrt{17}\\\Rightarrow x=0.876,\ 9.123\)

Thus, it touches the ground at two points given above

One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

Digital Construction is known to be a term that connote  the act of using digital technologies to be able to make construction to be more better and  with higher quality.

Note that  a lot of the new technologies have been seen to have proven themselves and gives  a lot of opportunities for the construction,

In the use of the digital tools, one can Construct a line or a line segment and then uses the move tool to drag some points around, and then watch to see what happens.

Therefore,  One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

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In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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The solution of Equation are (5/2, 4/3).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

3x+5y=14..........(1)

6x - 4y=9..............(2)

Solving equation (1) and (2) we get

3x + 5y = 14

Subtract 3x from both sides.

5y = 14 - 3x

Divide by 5 on both sides.

y = -3/5x + 14/5

and, 6x - 4y = 9

Subtract 6x from both sides.

-4y = 9 - 6x

Divide by -4 on both sides.

y = 3/2x - 9/4

From the graph we get

x = 2.405

y= 1.375

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Answer:

Step-by-step explanation:

the table is not copied correctly, I assume

the mail carrier will travel a distance of 15x

Answer:

Im unsure what your asking but the answer is 6 1/2 in fraction form and 6.5 in decimal form :/

Step-by-step explanation:

math

When 117 is divided by 18 we get 117/18 in fraction form.

To divide 117 by 18, we perform long division.

We start with the first digit of the dividend (1) and divide it by the divisor (18).

Since 18 is larger than 1, the quotient for this step is 0.

We then bring down the next digit (1) and place it next to the previous result.

Again, since 18 is larger than 11, the quotient for this step is 0.

Therefore, the result of dividing 117 by 18 is 0 with a remainder of 117.

In fraction form, this can be expressed as 117/18.

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Answer: B.792

Step-by-step explanation:

Answer: 6/7

Step-by-step explanation:

Since The Denominator Is equal You Can Add The 2 Fractions Like Normal either by keeping it as fraction Or By Making It A Decimal and Adding Them Together

5/7 + 1/7 = 6/7

Answer:

6/7 is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Answer:

124.84

Step-by-step explanation:

A = ah + bh + ch + 1 /2×√( ﹣a^4 ﹣ b^4 ﹣ c^4+ 2(ab)² + 2(ac)² + 2(bc)² ) =4×7+5×7+6×7+ 1 /2×√(-4^4 - 5^4 - 6^4 + 2(4×5)² + 2(4×6)² + 2(5×6)² )

≈ 124.84313

Step-by-step explanation:

Answer:

I have made it in above pic ans is. 35 hours

Answer:

35 hours?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a) 0.0465 = 4.65% probability that in one upperclassman House at MIT, enough students are vaccinated to achieve herd immunity.

b) \(1.02 \times 10^{-16}\) probability that herd immunity is achieved in all 12 Houses.

c) We needed that \(np \geq 10, n(1-p) \geq 10\), which was achieved.

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution, normal probability distribution and the central limit theorem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

For a proportion p in a sample of size n, as long as \(np \geq 10, n(1-p) \geq 10\) the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

a) Suppose that 94% of undergraduate students in the United States report having received two doses of the MMR vaccine. What is the probability that in one upperclassman House at MIT, enough students are vaccinated to achieve herd immunity? There are approximately 400 students in any house.

We have that \(p = 0.94, n = 400\). So

\(np = 400*0.94 = 376 \geq 10\)

\(n(1-p) = 400*0.06 = 24 \geq 10\)

The standard deviation is:

\(s = \sqrt{\frac{0.94*0.06}{400}} = 0.0119\)

The probability is 1 subtracted by the pvalue of Z when X = 0.96. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.96 - 0.94}{0.0119}\)

\(Z = 1.68\)

\(Z = 1.68\) has a pvalue of 0.9535

1 - 0.9535 = 0.0465 = 4.65% probability that in one upperclassman House at MIT, enough students are vaccinated to achieve herd immunity.

b) Calculate the probability that herd immunity is achieved in all 12 Houses.

Now, we use the binomial distribution. This is \(P(X = 12)\) when \(n = 12\) with \(p = 0.0465\). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 12) = C_{12,12}.(0.0465)^{12}.(0.9535)^{0} = 1.02 \times 10^{-16}\)

\(1.02 \times 10^{-16}\) probability that herd immunity is achieved in all 12 Houses.

c) Discuss the validity of the assumptions required to make the calculation in part i.

We needed that \(np \geq 10, n(1-p) \geq 10\), which was achieved.

Answer:

137 in.^2

Step-by-step explanation:

A = nsa/2

where

n = number of sides = 9

s = length of side = 4.7 in.

a = length of apothem = 6.5 in.

A = (9)(4.7 in.)(6.5 in.)/2

A = 137.475 in.^2

Answer: 137 in.^2

3f² + 16f + 5 can be factorized as (f+5) (3f+1). To factorize 3f² + 16f + 5, we need to find two numbers whose product is 3×5=15 and whose sum is 16. These numbers are 15 and 1.

We can then rewrite 16f as 15f + f.

3f² + 15f + f + 5

= 3f(f+5) + (f+5)

= (f+5)(3f+1)

Therefore, 3f² + 16f + 5 can be factorized as (f+5)(3f+1).

Factorization is the process of breaking down a mathematical expression, usually a polynomial, into simpler factors. The factors are the terms that, when multiplied together, give the original expression.

There are different methods of factorization depending on the type of expression being factored. Some common methods include:

Factoring out common factors: This method involves factoring out any common factors shared by all the terms in the expression.

Using the difference of squares formula: This method is used when we have an expression in the form a² - b², which can be factored as

(a+b)(a-b).

Factoring by grouping: This method is used when the polynomial has four or more terms, and the terms can be grouped in such a way that a common factor can be factored out.

Using the quadratic formula: This method is used to factorize quadratic expressions of the form ax² + bx + c, where a, b, and c are constants. The quadratic formula is (-b ± √(b² - 4ac))/2a, which gives the roots of the quadratic equation. We can then write the quadratic expression as a product of two linear factors in the form (x - r1)(x - r2), where r1 and r2 are the roots of the quadratic equation.

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Answer:

2x2x2x2x3x7,This is because all of that sum equals the total of

Step-by-step explanation:

2x2x2x2x3x7

Answer:

16

Step-by-step explanation:

first term/(1-ratio)

8/(1-1/2)

8/1/2 = 16

Answer:12

Step-by-step explanation:I divided 3 by 120 and got 0.12 take the zesty out and the demical

Given: The value of a in y=ax2+bx+c and the vertex of the parabola are given.

a= -3; vertex at (2,4)

Required: How many x-intercepts does the parabola have? Explain how you arrived at this number.

Explanation:

Parabola is of form

And a here is negative.

So definitely it is a downward parabola.

The vertex is (2,4), it lies in 1st quadrant, so it is above x-axis.

Since parabola is going downward, it will cut x- axis at two points. (By putting y = 0 we get quadratic in x. So two solutions are there.)

Hence there are 2 intercepts.

Final Answer: Parabola opens downwards, vertex is above x-axis and there are 2 x-intercepts.

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer:

4

Step-by-step explanation:

2+2 is 4

Kareem uses 300 milliliters of Solution B.

Let's assume Kareem uses "x" milliliters of Solution B.

Since Kareem uses twice as much Solution A as Solution B, he would use 2x milliliters of Solution A.

Solution A contains 10% alcohol, so the amount of alcohol from Solution A is (2x)(0.10) = 0.2x milliliters.

Solution B contains 15% alcohol, so the amount of alcohol from Solution B is (x)(0.15) = 0.15x milliliters.

The resulting mixture has 105 milliliters of pure alcohol, which is the sum of the alcohol from Solution A and Solution B:

0.2x + 0.15x = 105

Combining like terms:

0.35x = 105

Dividing both sides by 0.35:

x = 105 / 0.35

x = 300

Therefore, Kareem uses 300 milliliters of Solution B.

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Answer:

Malia read the most pages

Step-by-step explanation:

Zak = 8.4 pages

Karen = 7.6 pages

Malia = 9.5 pages

Ali = 7.2 pages

The individuals in this data set are the different apartment complexes: Grand Vistas, Maple Ridge, Old Mill, and Willow Brook.

The individuals in this data set are the different apartment complexes that Camille is comparing. The data provides information on the complex name, number of bedrooms and bathrooms, rent amount, whether rent includes heat, and the amenities offered.

Grand Vistas:

Bedrooms: 2

Bathrooms: 2

Rent: $990

Rent includes heat: No

Amenities: Fitness center, pool

Maple Ridge:

Bedrooms: 2

Bathrooms: 1.5

Rent: $685

Rent includes heat: Yes

Amenities: Fitness center, pool

Old Mill:

Bedrooms: 2

Bathrooms: 1.5

Rent: $790

Rent includes heat: No

Amenities: Pool

Willow Brook:

Bedrooms: 2

Bathrooms: 2

Rent: $885

Rent includes heat: No

Amenities: Jacuzzi

Each apartment complex is represented as an individual in the data set. Camille has collected specific details for each complex, including the number of bedrooms and bathrooms, the rent amount, whether heat is included in the rent, and the amenities provided.

This data set allows Camille to compare different apartment complexes based on these attributes. She can evaluate factors such as rent prices, included amenities, and the presence of heat in the rent. This information will assist Camille in making an informed decision about which apartment complex may be the most suitable for her needs and preferences.

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