Find the distance between the points (-5,5) and (-6,-4).

Answer:

21/4 or 5 1/4

Step-by-step explanation:

Answer: 1 1/3 * 3 = 4

Answer:

9 mi

Step-by-step explanation:

V = 1385.44 mi³, radius r = 14/2 = 7 mi, find h

Use V = πr²h

1385.44 = 3.14 * 7² * h = 153.86 h

so

h = 1385.44/153.86 = 9 mi

Answer:

Step-by-step explanation:

-2x+3x=-21+6

or x=-15

Answer:

x=3

Step-by-step explanation:

-2x-6=3x-21

Add 21 to both sides of the equation

Add 2x to both sides of the equation

Divide each side by 5 to isolate x

the container needs to have a volume of  0.01514 cubic meters to hold 205 kg of mercury.

Volume is the measure of the amount of three-dimensional space enclosed by an object or space. It is typically expressed in cubic units, such as cubic meters (m³) or cubic centimeters (cm³).

The density of mercury is approximately 13,534 kg/m³.

We can use the formula:

Volume = mass/density

To find the volume of mercury that has a mass of 205 kg:

Volume = 205 kg / 13,534 kg/m³

Volume ≈ 0.01514 m³

Therefore, the container needs to have a volume of approximately 0.01514 cubic meters to hold 205 kg of mercury.

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The complete question is:

What volume should a container have to hold 205 kg of mercury?

Answer:

Pull terms out from under the radical, assuming positive real numbers.

0

Step-by-step explanation:

Answer:

72 I think

Step-by-step explanation:

I'm not 100% sure but I think its 72

Answer:

The Least Common Multiple (LCM) of 8 and 9 is 72,

and the Least Common Multiple (LCM) of 7 and 8 is 56.

Answer:

Step-by-step explanation:

The question requires you to graph inequalities

The inequalities are :

open brackets on the left-hand side and collect like terms

The final inequality equation to graph is ;

i had to do the answer as a pic cuz my iPad is gonna die.

sorry <:)

Answer:

Step-by-step explanation:

x = - 23

y = - 5

z = - 10

(x - 12)/(y+z)=

(-23 - 12)/(-5-10)=

45/15=

7/3

5 the answer is 5 reason why because it says less than six

Answer:

this means that she had spent 196.44 dollars

Step-by-step explanation:

109.32 (started off with)

-87.12(how much she ended up with)

we know that she went over cause she ended up with a negative  so you just add how much she went over and how much she had orgiginally had

Answer:

18° lol it's too easy

Step-by-step explanation:

180-(90+72)

=180-162

=18°

Answer:

18 Degree

Step-by-step explanation:

all triangles the inside angle sum is 180 degree

so

72+90+x=180

162+x = 180

x= 180-162

Answer:Hello, my name is woods245 and I'm here to help you with your problem K?

So the equation that you have is 2y=5X.

So what you will have to is put a line under 2y and 5X.

Then you mark out 2y and divide 5X and 2y and get 2.5 that's your answer.

Step-by-step explanation:

Answer:

I have done the 1st 2 sums in proper systematic manner. The remaining sums I'll be writing only the main formula and substitution. I hope you will write the missing sentences .

Step-by-step explanation:

.Also I would appreciate it if you could marke my answer as BRAINLIEST and THANK ME.｡◕‿◕｡

Answer:

Step-by-step explanation:

1. hypotenuse = 89

2. hypotenuse = 85

3. hypotenuse = 97

4. hypotenuse = 153

5. hypotenuse = 34

6. hypotenuse = 113

7. hypotenuse = 916

8. hypotenuse = 170

9. hypotenuse = 394

10. hypotenuse = 61

Answer:

The Pink square, Green Rectangle, and the Orange figure

Step-by-step explanation:

The only one I'm not to sure about is the trapezoid, but you can rule out all the others because there is no right angle. Hope this helps!

The Pink square, Green Rectangle, and the Orange figure have at least 1 right angle.

What is rectangle?

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle.

What is square?

A rectangle with four sides of equal length is a square.

What is right angle?

A right angle is an angle that is exactly equal to 90 degrees  in measure.

According to question, we have to find which shapes have at least 1 right angle.

In the given figure, we can see that the pink square, green Rectangle, and the orange figure have at least 1 right angle or have \(90\) degree in them.

Hence, we can conclude that the Pink square, Green Rectangle, and the Orange figure have at least 1 right angle.

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The formula for the tangent line to f(x) = ln(x) at x = 2 is 2y = x − 2.

We must first differentiate f(x).

The derivative of ln(x) is 1/x

The slope of the tangent at a point x = a on the function f(x) is given by evaluating f'(a).

Hence, the slope of the tangent is 1/x = 1/2

The function passes through,

(1/2, ln1)=(2, 0).

Now, we can use point slope form to find the equation of the tangent.

y − y1 = m( x− x1)

y − 0 = 1/2( x− 2 )

2y = x - 2

Thus, the equation of the tangent is 2y = x − 2.

The straight line that "just touches" the curve at a given position is known as the tangent line to a plane curve at that location. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.

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Answer:

D.) QS ≅ NR

Step-by-step explanation:

Congruency between QS and NR can be assumed because the angles they make at points T and U are both right angles and the 6.7 seems to be indicating the same length of the lines (?)

Nonetheless, they look to be about equal in size and angle, so D.) QS ≅ NR is your best answer.

Answer: (1/2)x + y + (3/2) = 0

Step-by-step explanation:

The equation of a line in point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line. In this case, the point is (3, -2) and the slope is 1/2, so the equation of the line is:

y - (-2) = (1/2)(x - 3)

Simplifying, we get:

y + 2 = (1/2)x - (3/2)

Finally, rearranging the terms, we get:

(1/2)x + y + (3/2) = 0

Therefore, the equation of the line in point-slap form is:

(1/2)x + y + (3/2) = 0

Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

The pairs of supplementary angles are;

B. <SQT and <SQR

C. <TQP and <RQP

D. <SQR and <RQP

F. <SQT and <TQP

Two or more angles are referred to as supplementary angles if they add up to 180^o. Therefore the sum of angles is equal to the sum of angles on a straight line.

Thus, the pair of supplementary angles in the given diagram are;

B. <SQT and <SQR

C. <TQP and <RQP

D. <SQR and <RQP

F. <SQT and <TQP

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Answer:

x:0 y: 3

x: 1 y: -1

x: 2 y: 1

Step-by-step explanation:

The coordinates of line is (0, -3), (1, -1) and (2, 1)

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:

y = 2x - 3

Now, putting x=0

y= -3

and, x= 1

y= 2(1)-3

y = -1

and, x= 2

y=2 (2)- 3

y = 1

Hence, the coordinates of line is (0, -3), (1, -1) and (2, 1)

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Answer:

13.125 or 105/8u^3

Step-by-step explanation:

To find the volume of the box, you can use the formula of length times width time height.

3 * 5 = 15

2*2=4

15/4*7/2=105/8      which can be divided to become 13.125

(a) Chin had 93.1 marbles after the game.

(b) The three children had a total of 271.44 marbles altogether.

Let's break down the problem step by step to find the answers:

Initial marbles

Before the game:

Let's assume Afiq had x marbles.

Bala had 1/6 fewer marbles than Afiq, so Bala had (x - 1/6x) marbles.

Chin had 3/5 as many marbles as Bala, so Chin had (3/5)(x - 1/6x) marbles.

After the game

After the game, Bala lost 20% of his marbles to Chin, so he has 80% (or 0.8) of his initial marbles remaining.

Afiq lost 2/3 of his marbles to Chin, so he has 1/3 (or 0.33) of his initial marbles remaining.

Calculating the marbles

(a) How many marbles did Chin have after the game?

To find Chin's marbles after the game, we add the marbles gained from Bala to Chin's initial marbles and the marbles gained from Afiq to Chin's initial marbles.

Chin's marbles = Initial marbles + Marbles gained from Bala + Marbles gained from Afiq

Chin's marbles = (3/5)(x - 1/6x) + 0.8(x - 1/6x) + 0.33x

Chin's marbles = (3/5)(5x/6) + 0.8(5x/6) + 0.33x

Chin's marbles = (3/6)x + (4/6)x + 0.33x

Chin's marbles = (7/6)x + 0.33x

We are given that Chin gained 105 marbles, so we can equate the equation above to 105 and solve for x:

(7/6)x + 0.33x = 105

(7x + 2x) / 6 = 105

9x / 6 = 105

9x = 105 * 6

x = (105 * 6) / 9

x = 70

Substituting the value of x back into the equation for Chin's marbles:

Chin's marbles = (7/6)(70) + 0.33(70)

Chin's marbles = 10(7) + 0.33(70)

Chin's marbles = 70 + 23.1

Chin's marbles ≈ 93.1

Therefore, Chin had approximately 93.1 marbles after the game.

(b) After the game, the 3 children each bought another 40 marbles. To find the total number of marbles the 3 children have altogether, we need to sum up their marbles after the game and the additional 40 marbles for each.

Total marbles = Afiq's marbles + Bala's marbles + Chin's marbles + Additional marbles

Total marbles = 0.33x + 0.8(x - 1/6x) + (7/6)x + 40 + 40 + 40

Total marbles = 0.33(70) + 0.8(70 - 1/6(70)) + (7/6)(70) + 120

Total marbles = 23.1 + 0.8(70 - 11.7) + 81.7 + 120

Total marbles = 23.1 + 0.8 × 58.3 + 201.7

Total marbles = 23.1 + 46.64 + 201.7

Total marbles = 271.44

The three children had a total of 271.44 marbles altogether.

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Question

Afiq. Bala and Chin played a game of marbles. Before the game, Bala had 1/ 6 fewer marbles than Afig and Chinhad 3/5 as many marbles as Bala.

After the game, Balahad lost 20% of his marbles to Chinwhile Afig had lost

2/3 of his marbles to Chin. Chingained 105 marbles at the end of the

game.

(a)How many marbles didChinhave after the game?

(b)After the game, the 3 children each bought another 40 marbles. How manymarbles did the 3 children have altogether?

CuI's molar solubility is determined to be 1.27 x 10⁻¹².

The quantity of ions dissolved per litre of solution is measured by molar solubility. The quantity of ions that are dissolved in this situation's amount of solvent is represented as solubility.

Think about the equation.

Cu+(aq) CuI.(s) + I- (aq)

Let's assume that CuI (s) has a molar solubility of "S" mol/L.

Thus,

Product of solubility = [Cu+(aq)] + [ I-(aq)] → [Cu+(aq)] Ksp

[ I-(aq)] ———(1)

We are aware of

For CuI, the solubility product Ksp is 1.27 x 10⁻¹².

Consequently, from equation (1)

1.27 × 10⁻¹² = S.S

S² =1.27 × 10⁻¹²

= (1.27 × 10⁻¹² )½ = 1.127 x 10⁻⁶ M

Therefore, CuI has a molar solubility of 1.127 x 10-6 M.

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The surface area of the triangular prism would be =324,000cm²

To calculate the surface area of the triangular prism the formula that should be given would be as follows:

Surface area of triangular prism;

Surface area of triangular prism;= bh+(b1+b2+b3)l

where:

base length = 20cm

height = 15cm

length = 18cm

SA = 20×15(20+15+25)×18

= 300×60×18

= 324,000cm²

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The correct value of 2f(a-1) is 2a^2 - 12a + 10.

To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.

Given: f(x) = x^2 - 4x

Substituting (a-1) into the function:

f(a-1) = (a-1)^2 - 4(a-1)

Expanding and simplifying:

f(a-1) = (a^2 - 2a + 1) - (4a - 4)

f(a-1) = a^2 - 2a + 1 - 4a + 4

f(a-1) = a^2 - 6a + 5

Now, we multiply the result by 2:

2f(a-1) = 2(a^2 - 6a + 5)

Expanding:

2f(a-1) = 2a^2 - 12a + 10

Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.

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Answer:

1 a  \(p -value = 0.030054\)

1b   \(p -value = 0.0029798\)

1c  \(p -value = 0.0039768\)  

2a  \(p-value = 0.00099966\)

2b  \(p-value = 0.00999706\)

2c  \(p-value = 0.0654412\)

Step-by-step explanation:

Considering question a

  The alternative hypothesis is H1:μ>μ0

   The test statistics is  z =1.88

Generally from the z-table  the  probability of   z =1.88 for a right tailed test is

    \(p -value = P(Z > 1.88) = 0.030054\)

Considering question b

  The alternative hypothesis is H1:μ<μ0

   The test statistics is  z=−2.75

Generally from the z-table  the  probability of   z=−2.75 for a left tailed test is

    \(p -value = P(Z < -2.75) = 0.0029798\)

Considering question c

  The alternative hypothesis is H1:μ≠μ0

   The test statistics is  z=2.88

Generally from the z-table  the  probability of  z=2.88 for a right  tailed test is

    \(p -value = P(Z >2.88) = 0.0019884\)    

Generally the p-value for the two-tailed test is

    \(p -value = 2 * P(Z >2.88) = 2 * 0.0019884\)    

=> \(p -value = 0.0039768\)  

Considering question 2a

    The alternative hypothesis is H1:μ>μ0

     The sample size is  n=16

     The  test statistic is  t =  3.733

Generally the degree of freedom is mathematically represented as

        \(df = n - 1\)

=>     \(df = 16 - 1\)

=>     \(df = 15\)

Generally from the t distribution table  the probability of   t =  3.733 at a degree of freedom of  \(df = 15\) for a right tailed test is  

       \(p-value = t_{3.733 , 15} = 0.00099966\)

Considering question 2b

    The alternative hypothesis is H1:μ<μ0

     The degree of freedom is df=23

     The  test statistic is ,t= −2.500

Generally from the t distribution table  the probability of   t= −2.500 at a degree of freedom of  df=23 for a left  tailed test is  

       \(p-value = t_{-2.500 , 23} = 0.00999706\)

Considering question 2c

    The alternative hypothesis is H1:μ≠μ0

     The sample size is  n= 7

     The  test statistic is ,t= −2.2500

Generally the degree of freedom is mathematically represented as

        \(df = n - 1\)

=>     \(df = 7 - 1\)

=>     \(df = 6\)

Generally from the t distribution table  the probability of   t= −2.2500 at a degree of freedom of  \(df = 6\) for a left   tailed test is  

       \(t_{-2.2500 , 6} = 0.03272060\)

Generally the p-value  for t= −2.2500 for a two tailed test is

     \(p-value = 2 * 0.03272060 = 0.0654412\)