Solve.

−8y ≥ 56


a. y ≤ −7


b. y ≥ 7


c. y ≤ 7


d. y ≥ –7

Answer:

Distributive Property

Step-by-step explanation:

Distributive Property would have to be used here as the 3z would have to be multiplied with each of the values in the bracket for a simplified expression. This is as follows:

3z(2x+7y-5)

= 6xz + 21zy - 15z

Hence, 6xz + 21zy - 15z is the simplified expression.

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The property that we would use to simplify the expression 3z(2x + 7y - 5) is the distributive property.

From the question, we have the following parameters that can be used in our computation:

3z(2x + 7y - 5)

The distributive property states that when we multiply a number or variable by a sum of terms in parentheses, we can distribute the multiplication to each term inside the parentheses.

In this case, we can distribute the 3z to each term inside the parentheses:

3z(2x + 7y - 5) = 6zx + 21zy - 15z

So using the distributive property, we have simplified the expression by multiplying 3z to each term inside the parentheses.

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Step-by-step explanation:

4t - 7 + 83 = 180

4t + 76 = 180

4t = 104

t = 26

Answer:

i think it is 0 over 3

Step-by-step explanation:

Answers:

You may or may not have to type in the word "degrees", and/or use the degree symbol. I would ask your teacher for clarification.

A diagram is shown below.

============================================================

Explanation:

We'll need the law of cosines to solve for angle A.

a^2 = b^2 + c^2 - 2*b*c*cos(A)

17^2 = 36^2 + 45^2 - 2*36*45*cos(A)

289 = 3321 - 3240*cos(A)

289 - 3321  = -3240*cos(A)

-3032  = -3240*cos(A)

-3240*cos(A) = -3032

cos(A) = (-3032)/(-3240)

cos(A) = 0.935802

A = arccos(0.935802)

A = 20.64 degrees

which is approximate to 2 decimal places.

Note: The "arccos" refers to "arccosine" which is the same as inverse cosine (denoted as \(\cos^{-1}\) on many calculators).

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

Do a similar set of steps for angle B.

b^2 = a^2 + c^2 - 2*a*c*cos(B)

36^2 = 17^2 + 45^2 - 2*17*45*cos(B)

1296 = 2314 - 1530*cos(B)

1296 - 2314  = -1530*cos(B)

-1018  = -1530*cos(B)

-1530*cos(B) = -1018

cos(B) = (-1018)/(-1530)

cos(B) = 0.665359

B = arccos(0.665359)

B = 48.29 degrees

Also approximate to 2 decimal places.

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

As you can probably guess by now, we could use the law of cosines to find angle C. But a much quicker shortcut is to use the fact that for any triangle, the interior angles always add to 180 degrees.

This shortcut is only possible since we know the two other angles.

Solve for C.

A+B+C = 180

C = 180-A-B

C = 180 - 20.64 - 48.29

C = 111.07 degrees

Like the others, this is approximate to 2 decimal places.

You can use a graphing tool like GeoGebra to confirm the answers. See below. Due to the SSS (side side side) triangle congruence theorem, only one triangle is possible. This means only one answer is possible per angle.

The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).

In the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.

To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).

If we subtract each value in column 1 from the corresponding value in column 2, we find that:

11 - 1 = 10

22 - 2 = 20

33 - 3 = 30

44 - 4 = 40

By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.

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The value of the missing segment n using the product of intersecting chord theorem is 14cm

The product of the segments of two intersecting chords are equal.

The segments of the chords ;

Chord 1 = 4 and n

Chord 2 = 7 and 8

The principle can be related Mathematically thus ;

4 × n = 7 × 8

4n = 56

Divide both sides by 4

4n/4 = 56/4

n = 14

Therefore, the value of n in the question is 14cm

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Answer:

4.5

Step-by-step explanation:

Answer:

it is 9/2

Step-by-step explanation:

soo uhhh first cancel out two

so it becomes 3 (3/2) then it equals to 9/2

Answer:

slope = 1/2

Step-by-step explanation:

we rise 1 and run 2 which gives us y=1/2x

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer:

C

Step-by-step explanation:

Tip a positive number multiplied to a negative number is negative

Answer:

96

Step-by-step explanation:

to be honest i just looked it up on google

The solution of the function 3f(1) - 4g(-2)  is -19.

The functions can be solved as follows;

f(x) = 7x - 4

g(x) = 11 - x²

Therefore, let's solve the composite function as follows:

A composite function is generally a function that is written inside another function.

Hence,

3f(1) - 4g(-2) = ?

f(1) = 7(1) - 4 = 7 - 4 = 3

g(-2) = 11 - (-2)² = 11 - 4 = 7

Therefore,

3f(1) - 4g(-2) = 3(3) - 4(7) = 9 - 28 = -19

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The probability she pulls out a purple piece of candy would be 0.22.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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Answer:

if 1cm-10grams

what Abt 640 grams=64cm

Answer:

Step-by-step explanation:

You can use this information to "guess" at the answers without doing any "work."

__

The missing angle is the complement of the marked acute angle in the right triangle, so is ...

  C = 90° -65° = 25°

This angle is opposite the side of length 8.9 cm. The next-smallest angle is 65°, which is more than double the smallest angle. Hence the side opposite 65° will not be either of 3.8 or 9.8.

Of the two remaining measures, the longer one, 21.1, will be the hypotenuse, BC. The shorter of those, 19.1, will be the long side, AC.

Our solution is ...

__

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and right triangle sides. Here, we're given an angle and the length of its adjacent side. We are asked for the opposite side and for the hypotenuse. This suggests useful relations might be ...

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

Solving the first of these for the hypotenuse gives ...

  hypotenuse = adjacent/cos(65°)

  BC = 8.9 cm/cos(65°) ≈ 21.059 cm ≈ 21.1 cm

Solving the second relation above for the opposite side gives ...

  opposite = adjacent×tan(65°)

  AC = 8.9 cm×tan(65°) ≈ 19.086 cm ≈ 19.1 cm

As above, the missing angle is the complement of the given one:

  C = 90° -65° = 25°

Then the quantitative solution is ...

_____

Additional comment

If AC were 9.8 cm, the angle at B would be about 48°. That is, the two acute angles in the triangle would be very nearly equal.

We know that the side ratios in a 30°-60°-90° right triangle are 1 : √3 : 2. This triangle has a larger angle greater than 60°, so its longer side will be more than √3 times the short side. That means a length of 9.8 cm is way too short.

9514 1404 393

Answer:

  6(9v -7w)

Step-by-step explanation:

The greatest common factor of the two terms is 6. Any factor of 6 can be brought outside parentheses:

  54v -42w = 2(27v -21w) = 3(18v -14w) = 6(9v -7w)

9514 1404 393

Answer:

  0.5 cm

Step-by-step explanation:

I prefer to write the proportion so the unknown value is in the numerator.

  c/sin(C) = b/sin(B)

  c = b×sin(C)/sin(B) = (2 cm)×sin(15°)/sin(105°) ≈ 0.535898 cm

  c ≈ 0.5 cm

_____

For those of you looking for 'a', that value is shown in the attachment.

Answer:

A

Step-by-step explanation:

To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:

First, let's simplify the division 3 11 5 ÷ 3:

3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.

Next, let's subtract 9 5 from the result we obtained:

115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.

Therefore, the simplified expression is 70.

The correct answer is A. 70.

Answer:

$595

e) If the company insures a large number of these cars, they can expect the average cost per car to be approximately E(C).

Step-by-step explanation:

Given the distribution :

C $0 $500 $1000 $2,000

P(C) 0.60 0.05 0.13 0.22

Expected probability : E(C)

Σ[C * P(C)] = (0*0.60) + (500*0.05) + (1000*0.13) + (2000*0.22) = $595

Since the expected value could be interpreted as the average value of a random variable over a large Number of experiment or trials

Answer:

b= \(\frac{416}{y}\)    =  59.429

Answer:

b = 416/7

Step-by-step explanation:

b = 416/7 or you could say 59.4

The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:

Write the dividend and divisor in polynomial long division format:

_________________________

x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...

Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).

Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).

Subtract the result obtained in step 3 from the original dividend:

x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...

Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.

Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.

-3x^(2n-2) + 0x^(2n-3) + ... = -80

Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.

This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:

2n-2 = 0

2n = 2

n = 1

Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

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Answer:

See answers below

Step-by-step explanation:

T59 = a+58d = -61

T4 = a+3d = 64.

Subtract

58d-3d = -61-64

-55d = -125

d =125/55

d = 25/11

Get a;

From 2

a+3d = 64

a+3(25/11) = 64

a = 64-75/11

a = 704-75/11

a = 629/11

T23 = a+22d

T23 = 629/11+22(25/11)

T23 = 1179/11

Answer:

710

Step-by-step explanation:

10.50 x 5 would be the expression.

The answer is $52.5

Answer:

10.50 x 5 would be the expression.

The answer is $-52.5

Step-by-step explanation:

Corrected Question

Given a triangle with two sides 4.1 cm and 6.7cm and an Included angle of \(35^\circ\). Use the Law of Cosines to determine the length of the third side of the triangle.

Answer:

(D) 4.1cm

Step-by-step explanation:

Given a triangle with two sides 4.1 cm and 6.7 cm and an included angle of \(35^\circ\).

Using Law of Cosines

\(a^2=b^2+c^2-2bc\cos A\\a^2=4.1^2+6.7^2-2*4.1*6.7\cos 35^\circ\\a^2=16.6958\\a=\sqrt{16.6958}\\a=4.09\\a \approx 4.1$ cm\)

The correct option is D.

Answer:

D

Step-by-step explanation:

looking at the graph the values of it X are greater than or equal to 0 but less than or equal to 360

Answer:

The number of tickets sold are

Children = 256

Adults = 486

senior citizen = 204

Step-by-step explanation:

let

x = children ticket  = $10 per piece

y = adult ticket = $14 per piece

z = senior citizen = $6 per piece

x + y + z = 946 ( total tickets sold ) ---------- ( 1 )

Total receipt for performance

10x + 14y + 6z = $10588   --------------- ( 2 )

since the combined number of children and Adult tickets exceeded twice the number of senior citizen tickets by 334

x + y - 2z = 334 --------- ( 3 )

substract equation 3 from equation 1

3z = ( 946 - 334 ) = 612 therefore Z = 204

next we multiply equation (1) by 14

14x + 14y + 14z = 13244 ---------- ( 4 )

substract equation (2) from ( 4 )

4x + 8z = 2656

= 4x + 8(204) = 2656

= 4x = 2656 - 1632

therefore : x = 256

back to equation 1

256 + y + 204 = 946

y = 946 - ( 256 + 204 ) = 486

Hence the number of tickets sold are

Children = 256

Adults = 486

senior citizen = 204

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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Answer:

-9

Step-by-step explanation:

3 time 7

minus

4 times 8

21 - 32

-11+2= -9