The triangles shown below must be congruent.

True or false

Answer:

It usually has 1 solution, but sometimes it can have zero

Step-by-step explanation:

The answer is 55 possible selections of 4 books from this shelf that include at least one paperback. Option D (55) is the correct answer.

To answer your question regarding the possible selections of 4 books from a shelf with 8 books (2 paperbacks and 6 hardbacks) that include at least one paperback, we'll use combinatorics.
Calculate the total possible combinations of selecting 4 books out of 8 without any conditions:
This can be calculated using the combination formula, C(n, r) = n! / (r! * (n-r)!), where n is the total number of books (8) and r is the number of books to be selected (4).
C(8, 4) = 8! / (4! * (8-4)!) = 70
Calculate the total possible combinations of selecting 4 hardback books only:
Here, n is the total number of hardbacks (6) and r is the number of books to be selected (4).
C(6, 4) = 6! / (4! * (6-4)!) = 15
Calculate the number of combinations that include at least one paperback:
Since we know the total combinations and the combinations with hardbacks only, we can subtract the latter from the former to get the number of combinations with at least one paperback.
Number of combinations with at least one paperback = Total combinations - Combinations with hardbacks only = 70 - 15 = 55
So, there are 55 possible selections of 4 books from this shelf that include at least one paperback.

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Answer:

1

Step-by-step explanation:

Anything to the power of 0 will equal 1.

For example 1^0=1

                     300^0=1

                     and so on........

so 1/6 ^0 = 1

Answer:

1

Step-by-step explanation:

If you mean (1/6)^0, it's 1

If you mean 1/(6^0), it's also 1.

Answer:

6(0.65 – t) or D

Step-by-step explanation:

correct on edge 2021

Answer:

The best estimate for the value of the given expression is -2 1/2. Correct: Second alternative

Explanation:

Estimate and Number Rounding

There are situations where numbers must be estimated according to certain rules. If we have a number and we need a good approximate to it, we can use rounding to the required number of decimals.

The question requires to find the best estimate for the operation:

\(\displaystyle \left(\frac{34}{8}-\frac{16}{3}\right)-\frac{14}{9}\)

We calculate the decimal value of the expression:

\(\displaystyle \left(\frac{34}{8}-\frac{16}{3}\right)-\frac{14}{9}=(4.25-5.33)-1.56=-2.64\)

The first alternative is incorrect. It's a good approximation because it's close to the number, but the next alternative is the closest of all choices.

The second alternative Is correct. The value of -2 1/2 is -2.5. The number -2.64 is closer to -2.5 than to -3 which is the alternative A.

The third alternative Is incorrect. 7 is a positive number and it's not even close to -2.64

The last alternative Is incorrect. 7 1/2 = 7.5 is a positive number and it's not even close to -2.64

Answer:

-1.13

Step-by-step explanation:

you can count the lines and get the answer, one line down from -1.1 is -1.11 since -1.1 is technically -1.10 and you keep counting until the dot

The indefinite integral of (1 / 1+e^12x) is (1/12) ln|1+e^12x| + C, where C is the constant of integration.

To find the indefinite integral of (1 / 1+e^12x), we can use a table of integrals with forms involving eu. The form that matches our integral is ∫(1 / 1+e^u) du, where u=12x.

We can substitute u=12x and du/dx=12 to get ∫(1 / 1+e^12x) dx = (1/12) ∫(1 / 1+e^u) du.

Using the table of integrals, the integral of (1 / 1+e^u) du is ln|1+e^u| + C, where C is the constant of integration.

Substituting back in u=12x and multiplying by 1/12, we get the final answer: ∫(1 / 1+e^12x) dx = (1/12) ln|1+e^12x| + C.

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A standard normal random variable probability is 0.0250.

The probability P(Z > 1.96)  found by subtracting the cumulative probability from 1.

Using a standard normal distribution table or calculator, find the cumulative probability corresponding to 1.96, which is approximately 0.9750.

P(Z > 1.96) = 1 - P(Z ≤ 1.96) = 1 - 0.9750 = 0.0250.

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Answer: help me with my questions

Step-by-step explanation:

Click on my profile answer my question and get branliest

Answer:

The constant is 5 and the coefficient is 3.

Step-by-step explanation:

The constant is something that does not change, which would be 5 because it stays 5 no matter what.

The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.

I hope this helps! :)

Answer:

y = -10

Step-by-step explanation:

When x = 17, the equation be -17 + y = -27 when you plug in 17 for x

Then, add 17 to both sides to get y = -10

Answer:  " y =  -10 . "

___________________

Step-by-step explanation:

___________________

The question:

Find the  value of  "y" when "x" equals 17.

Given the equation:

 - x + y = -27 ;

___________________

We plug in the given value: "17" ; for "x" ; and solve for "y" :

- 17 + y = -27 ;

_____________________

↔ y + (-17) = -27 ;

Rewrite as:

   y − 17  = -27 ;   {since:  "adding a negative value" is the same

                                           as "subtracting a positive value."}.

_____________________

Now, we add "17" to each side of the equation;

to isolate "y" on one side of the equation; and to solve for "y" :

  y − 17 + 17  = -27 + 17 ;

to get:

  y  =  - 10 .

_____________________

Hope this is helpful to you.

Best wishes to you in your academic pursuits—

    and within the "Brainly" community!

_____________________

Answer:

B) y=6x

Step-by-step explanation:

Answer:

The inverse is 1/2x -1/2

Step-by-step explanation:

f(x) = 2x+1

y = 2x+1

Exchange x and y

x = 2y+1

Solve for y

Subtract 1

x-1 = 2y+1-1

x-1 =2y

Divide by 2

x/2 -1/2 = 2y/2

1/2x -1/2 = y

The inverse is 1/2x -1/2

Answer:

Step-by-step explanation:

\(\sqrt{81} < \sqrt{84} < \sqrt{100}\)

    \(9 < \sqrt{84} < 10\)

square root of 84 is between 9 and 10.

Answer:

C. \(9\pi\)

Step-by-step explanation:

We proceed to solve for \(x\) by the Pythagorean Theorem:

\((x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2}\) (1)

\(x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)\)

\(x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x + 17\)

\(4\cdot x^{2} -20\cdot x + 16 = 0\)

\((2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0\)

\((2\cdot x -8)\cdot (2\cdot x -2) = 0\)

There are two different solutions:

\(x_{1} = 4\), \(x_{2} = 1\)

A solution of \(x\) is considered realistic when the length of every side of the triangle is a not negative number.

\(x_{1} = 4\)

\(UV = 2\cdot (4) - 4\)

\(UV = 4\)

\(WU = 4 - 1\)

\(WU = 3\)

\(WV = 4 + 1\)

\(WV = 5\)

\(x_{2} = 1\)

\(UV = 2\cdot (1) - 4\)

\(UV = -2\)

\(WU = 1 - 1\)

\(WU = 0\)

\(WV = 1 + 1\)

\(WV = 2\)

The only realistic set of solutions is for \(x = 4\), and the radius of the circle is represented by the line segment \(WU\): \(r = 3\)

And the area of the circle (\(A\)) is calculated from the following formula:

\(A = \pi\cdot r^{2}\)

\(A = \pi\cdot (9)\)

\(A = 9\pi\)

The correct answer is C.

Answer:

3

Step-by-step explanation:

5 times 24 then 5 times 8 then divide the two answers to get the total answer

A matrix A with three eigenvalues, one-dimensional eigenspace, and two-dimensional eigenspace is diagonalizable because it has a complete set of linearly independent eigenvectors.

To show that matrix A is diagonalizable, we need to prove that it has a complete set of linearly independent eigenvectors.

1. Given that A is a 4x4 matrix with three eigenvalues, one of which has a multiplicity of 2, it means that A has a total of 4 eigenvectors.
2. The fact that one eigenspace is one-dimensional implies that one eigenvalue has a multiplicity of 1, and therefore, it has a corresponding eigenvector.
3. Additionally, we are told that one of the other eigenspaces is two-dimensional, which means that the corresponding eigenvalue has a multiplicity of 2, and there are two linearly independent eigenvectors associated with it.
4. Since A has a total of 4 linearly independent eigenvectors (one from the one-dimensional eigenspace and two from the two-dimensional eigenspace), we can conclude that A is diagonalizable.

Therefore, a matrix A with three eigenvalues, one-dimensional eigenspace, and two-dimensional eigenspace is diagonalizable because it has a complete set of linearly independent eigenvectors.

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Answer:

600g

Step-by-step explanation:

ratio 3:7 means there are 3 + 7 = 10 PARTs. zinc is 3/10 (30%) and copper is 7/10 (70%).

2kg = 2000g (of brass).

2000/10 = 200 (for one PART).

zinc is 30% (3 parts).

so we need 3 X 200 = 600g of zinc.

Answer:

3rd one

Step-by-step explanation:

Answer:C

Step-by-step explanation:took test

Answer:

The answer is "0.163 miles and 860.64 feet"

Step-by-step explanation:

Length between all the finger and the eyes = 23 inches  

Length between fingers = 3/4 inches = 0.75 inches    

Length between all the person as well as the rock = 5 miles

Length of the shape of rocks =?  

The height of an object can be found, as we can see from the above form, using the distance between both the fingertips, its length between all the eyes and thus the fingertips, or the length between the person is calculated by the given formula:    

\(\frac{\text{Length between fingers}}{\text{Length between fingers and eyes}}= \frac{\text{Rock height}} {\text{Length between the person and the rock}}\)

calculating the height of rock:

\(\to \frac{0.75\ inches} {23} \times 5 \\\\\to \frac{3.75\ inches} {23} \\\\\to 0.163 \ miles\)

\(\therefore 1 \ mile \ = 5280\ feet\)

\(\to 0.163 \times 5280\\\\\to 860.64 \ feet\)

Answer:

1) Option 3

2) Option 3

3) Option 3

4) Option 1

5) Option 2

6) Option 3

7) Option 1

Step-by-step explanation:

1) \(y = x^2 + 4x + 3\)

Lets split the middle term.

\(=> y = x^2 + 3x + x + 3\)

\(=> y = x(x+3) + 1(x + 3)\)

\(=> y = (x+1)(x+3)\)

∴ \(x = -3 , -1\)

2) \(y = 8x^2 - 22x + 5\)

Lets split the middle term.

\(=> y = 8x^2 - 20x - 2x + 5\)

\(=> y = 4x(2x - 5) - 1(2x - 5)\)

\(=> y = (2x - 5)(4x - 1)\)

∴ \(x =\frac{1}{4} , \frac{5}{2}\)

3) \(y = x^2 - 5x\)

\(=> y = x(x - 5)\)

∴ \(x = 0 , 5\)

4) \(y = 12x^2 + 18x\)

\(=> y = 6x(2x + 3)\)

∴ \(x = \frac{-3}{2} , 0\)

5) \(y = x^2 - 7x + 12\)

Lets split the middle term.

\(=> y = x^2 -3x - 4x + 12\)

\(=> y = x(x - 3) - 4(x - 3)\)

\(=> y = (x - 3)(x - 4)\)

∴ \(x = 3,4\)

6) \(y = 3x^2 + 10x + 8\)

Lets split the middle term.

\(=> y = 3x^2 + 6x + 4x + 8\)

\(=> y = 3x(x + 2) + 4(x + 2)\)

\(=> y = (x + 2)(3x + 4)\)

∴ \(x = -2 , \frac{-4}{3}\)

7) \(y = x^2 - 4x - 45\)

Lets split the middle term.

\(=> y = x^2 - 9x + 5x - 45\)

\(=> y = x(x - 9) + 5(x - 9)\)

\(=> y = (x - 9)(x + 5)\)

∴ \(x = -5 , 9\)

Answer:

The null hypothesis: \(\mathbf{H_o: p=0.27}\)

The alternative hypothesis: \(\mathbf{H_1: p \neq 0.27}\)

Test statistics : z = −2.30

P-value:  = 0.02144

Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.

Conclusion: We accept the alternative hypothesis and  conclude that under the same​ circumstances the proportion of offspring peas will be yellow is not equal to 0.27

Step-by-step explanation:

From the given information:

Let's state the null and the alternative hypothesis;

Since The claim is that 27%  of the offspring peas will be yellow.

The null hypothesis state that the proportion of offspring peas will be yellow is equal to 0.27.

i.e

\(\mathbf{H_o: p=0.27}\)

The alternative hypothesis  state that the proportion of offspring peas will be yellow is not equal to 0.27

\(\mathbf{H_1: p \neq 0.27}\)

The test statistics:

we are given 437 green peas and 129 yellow apples;

Hence;

\(\hat p = \dfrac{x}{n}\)

where ;

\(\hat p\) = sample proportion

x = number of success

n = total number of the sample size

\(\hat p = \dfrac{129}{437+129}\)

\(\hat p = \dfrac{129}{566}\)

\(\mathbf{\hat p = 0.2279}\)

Now; the test statistics can be computed as :

\(z = \dfrac { \hat p -p }{\sqrt {\dfrac{p(1-p)}{n} } }\)

\(z = \dfrac {0.2279 -0.27 }{\sqrt {\dfrac{0.27(1-0.27)}{566} } }\)

\(z = \dfrac {-0.043 }{\sqrt {\dfrac{0.27(0.73)}{566} } }\)

\(z = \dfrac {-0.043 }{\sqrt {\dfrac{0.1971}{566} } }\)

\(z = \dfrac {-0.043 }{\sqrt {3.48233216*10^{-4} } }\)

\(z = \dfrac {-0.043 }{0.01866} }\)

z = −2.30

C. P-value

P-value = P(Z < z)

P-value = P(Z< -2.30)

By using the ​ P-value method and the normal distribution as an approximation to the binomial distribution.

from the table of standard normal distribution

move left until the first column is reached. Note the value as –2.0

move upward until the top row is reached. Note the value as 0.30

find the probability value as 0.010724 by the intersection of the row and column values gives the area to the left of

z = -2.30

P- value = 2P(z ≤ -2.30)

P-value = 2 × 0.01072

P - value = 0.02144

Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.

Conclusion: We accept the alternative hypothesis and  conclude that under the same​ circumstances the proportion of offspring peas will be yellow is not equal to 0.27

The sum of the interior angles of a triangle is always 180º:

∠D + 122º + 32º = 180º

∠D + 154º = 180º

∠D = 180 - 154º

∠D = 26º

Answer:

∠D = 26°

Step-by-step explanation:

Hint: The three interior angles of a triangle will always have a sum of 180°. A triangle cannot have an individual angle measure of 180°, because then the other two angles would not exist (180°+0°+0°). The three angles of a triangle need to combine to 180°.

The sum of the angle measures of a triangle is 180°. So, we write:

m∠D + m∠E + m∠F = 180°

m∠D + 32° + 122° = 180°

m∠D + 154° = 180°

m∠D = 26°

So, we can conclude that:

the measure of ∠D = 26°

Answer:

C

Step-by-step explanation:

sorry if its wrong

Answer:

4 ...................

Step-by-step explanation:

hope the answer was helpful ......

Answer:

1024÷256=4

Step-by-step explanation:

hope u get that

Answer:

B = 48 m^2

Step-by-step explanation:

When dealing with triangular prisms, B refers to the area of the triangular base.  The formula for the area of a triangle is given by:

A = 1/2bh, where

In the triangle, the base is 16 m, while the height is 6 m.  Thus, we can plug in 16 for b and 6 for h in the triangle area formula to find A, the area of the triangle in square meters:

A = 1/2(16)(6)

A = 8(6)

A = 48 m^2

Thus, the value of B is 48 m^2.

Answer:

36/11 or 3.272727272727 and so on

Step-by-step explanation:

You are beautiful. You are amazing. You are wonderful. You are perfect just the way you are. Never worry about the way people think about you. Only worry if you like you. You are the most important person to yourself. Just be yourself. No can tell you who you can be. You are truly perfect just the way you are. Never tell yourself you are not good enough, you are enough. Never tell yourself "I'm ugly" you are beautiful. Never let yourself down.

Answer:

3 3/11

Step-by-step explanation:

8 ÷ 2 4/9 = 8 ÷ 22/9

8/1 × 9/22 = 72/22

72/22 ÷ 2 = 36/11

36/11 = 3 3/11

Answer:

Negative

Step-by-step explanation:

(if it's going downwards = negative)

insta: ymy.lu

Answer:

A. Is the answer (fjdjdjfjwjdjfj)

Answer:

9 mph

Step-by-step explanation:

d = rt     (distance = rate x time)

Paul rate:  j + 3

Jake rate: j

Paul time:  8 hr

Jake time:  12 hr

12j = 8(j + 3)

12j = 8j + 24

4j = 24

j = 24/4 = 6

Paul rate = j + 3 = 6 + 3 = 9 mph