Choose the ordered pair that is a solution for this equation.
3x = 8 - y

A. (3, 1)

B. (2, 2)

C. (8, 0)

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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They made 17 candles out of the wax.

The missing data is

If the company used 5110cm3 of wax, how many candles did they make?

Volume is the space occupied by a three dimensional object.

It is given that a candle is in the shape of a rectangular prism

The volume of the prism is given by Length * Breadth * Height

Volume of prism = 5 * 4 * 15 = 300 cu.cm

The total wax used by the company 5110 cu.cm

The total no. of candles is given by x

300 *x = 5110

x = 5110/300 = 17.03

Therefore they made 17 candles out of the wax.

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Answer:

A

Step-by-step explanation:

Using the properties of logarithms, we can simplify the expression:

4 log3x + 6 log3y - 7 log3z = log3x^4 + log3y^6 - log3z^7

Now, we can use another property of logarithms, which states that:

loga (mn) = loga m + loga n

Using this property, we can combine the logarithms with addition or subtraction:

log3x^4 + log3y^6 - log3z^7 = log3(x^4 * y^6 / z^7)

Therefore, the simplified form of 4 log3x + 6 log3y - 7 log3z is log3(x^4 * y^6 / z^7).

Answer:

29.2 and 60.8  

Step-by-step explanation:

x° + x° + 31.6° = 90°

2x + 31.6 = 90

2x = 58.4

x° = 29.2°

90° - 29.2° = 60.8°

29.2 and 60.8

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer: (4, 1)

Step-by-step explanation:

Ordered pairs are in form (x, y), or (input, output).

Input = amount

Output = cost

1 is false, its saying 4 gallons cost one dollar.

2 is true, its saying 0 gallons cost 0 dollars.

3 is true, its saying 3 gallons cost 12 dollars.

4 is true, its saying 7 gallons cost 28 dollars.

(4, 1) is not a point on the graph.

Hope this helps,

Jeron

:- )

Answer:

give me more instructions so i can actually help

Step-by-step explanation:

The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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Answer:

9x - 6

Hope this helps! <3

(If you need a step by step lmk)

Answer:

6x+3(x-2)

6x+3x-6

9x-6

Answer:

C.)

Step-by-step explanation:

Using thie model ,The answer is D. 27.

To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.

Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.

We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:

9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27

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Answer:

the answer is 10

Step-by-step explanation:

i hope it helped you!

The input that would give an output value of -1/3 is 19

A linear equation is an equation that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The table of values that completes the question is added as an attachment

A system of linear equations is a collection of at least two linear equations.

In this case, the linear equation is given as

y = -1/3x + 7

From the complete question, the output value is given as:

y = 2/3

Substitute y = 2/3 in y = -1/3x + 7

2/3 = -1/3 * x + 7

Subtract 7 from both sides of the equation

-1/3 * x = 2/3 - 7

Take the LCM

-1/3 * x = (2 - 7 * 3)/3

Evaluate the product

-1/3 * x = (2 - 21)/3

Evaluate the difference

-1/3 * x = -19/3

Multiply both sides by -3

x = 19

Hence, the input that would give an output value of -1/3 is 19

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Answer:

answer is 19

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put brackets around all three terms

(-t^2 - 10t + 3)    Now take out - 1 from all three terms.

-(t^2 + 10t - 3)   Notice what happened to terms 2 and 3. The signs changed. When you multiply the trinomial by - 1, terms 2 and 3 go back to their given signs.

Answer:

28/ 8 , ( 25/8 ), 27/8 , (2.29/8 ) , 33/8, 39/8 , 41, 55

The graph that represents the function f(x) = -2sin(x) +37 is graph D

The graph of the function f(x) = -2sin(x) +37 is a sinusoidal wave with an amplitude of 2 and a vertical shift of 37. The negative sign in front of the sine function indicates that the wave is inverted or reflected about the x-axis.

In this graph, the maximum value of the function is 39 (when x = 0) and the minimum value is 35 (when x = π).

In conclusion, the graph that represents the function f(x) = -2sin(x) +37 is graph D

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Answer:

I need the answer did you get it

Step-by-step explanation:

Answer: 3.5

Step-by-step explanation:

\(f(x) = 2x is linear.f(x) = 4^x is exponential.\) This is where at each level, each branch extends into 4 branches.

In the first prompt, the number of boxes in each row is increasing by a constant amount, so the function is linear. In the second prompt, the number of branches is increasing by a factor of 4 with each level, so the function is exponential.

A linear function is defined as one where the output increases by a constant amount for each increase in the input. An exponential function is defined as one where the output increases by a constant factor for each increase in the input. The first prompt corresponds to a linear function, while the second prompt corresponds to an exponential function.

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The complete question is-

Is the function f(x) = 4^x, where x is the number of branches at level x in a tree diagram, linear or exponential? Explain your answer.

Answer:

$1131.20

Step-by-step explanation:

I = Prt

= 1010 x 8 x 14%

= 1131.2

$1131.20

Answer:

11311.00

Step-by-step explanation:

1.  Opposite angles are equal in measure.

and

2. Diagonals bisect each other.

3. Any two adjacent angles add up to 180 degrees.

Properties of rhombus:

1.   All sides are equal in length.

2.  Opposite angles are equal.

3.   Diagonals bisect each other at 90°.

4.   Diagonals are respective angle bisectors.

5.   Any two adjacent angles add up to 180 degrees.

6.  The area of the rhombus is a product of the lengths of the 2  diagonals divided by 2.  

Properties of rectangle:

1.  Opposite sides are equal in length.

2.  All the angles are 90°.

3.  Diagonals bisect each other.

4.  Any two adjacent angles add up to 180 degrees.

Hence, the common properties are

1.  Opposite angles are equal in measure.

and

2. Diagonals bisect each other.

3. Any two adjacent angles add up to 180 degrees.

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Answer:

16801.2cm²

Step-by-step explanation:

Cone :

SA = πrl

SA = π · 28 ·  45                     90-45 = 45

SA = 3958.406744

Cylinder :

SA = 2 · π · r · ( r+h)

SA = 2 · π · 28 ( 28 +45 )

SA = 2 · π · 28 (73)

SA = 12842.83077

12842.83077 + 3958.406744 =

16801.2cm²

The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The critical value of f for an upper-tail test at a 0.05 significance level is 2.94.

The critical value of F for an upper-tail test at a 0.05 significance level with a sample size of 21 for the sample with the smaller variance and a sample size of 9 for the sample with the larger variance can be found using an F-distribution table or calculator.

Using an F-distribution table or calculator with numerator degrees of freedom (df1) of 8 and denominator degrees of freedom (df2) of 20 (since df1 is for the sample with the larger variance and df2 is for the sample with the smaller variance), the critical value of F at the 0.05 significance level is approximately 2.94.

Therefore, the answer is a. 2.94.

The complete question is:-

The critical value of F for an upper-tail test at a 0.05 significance level when there is a sample size of 21 for the sample with the smaller variance and there is a sample size of 9 for the sample with the larger sample variance is _____. a. 2.94 b. 2.45 c. 2.10 d. 2.37

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Answer:

the answer is c

Step-by-step explanation:

4  3/6 + 1  2/6= 5  5/6

1/2% is read as 1.2 out of one hundred

so divide 100/1.2 which the answer would be 83.33333333 or 83.3

Answer:

6 because 9 is the length and you only do length times height and 54 divided by 9 is 6 therefore the height is 6

Answer:

6units

Step-by-step explanation:

A=bh

54units^2=9*h

h=54/9

h=6units

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

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