Which of these systems of equations has one solution?

Answer:

Amy traveled at 4.5 mph, while Jim traveled at 6 mph. Therefore, Jim traveled at a greater average speed.

Step-by-step explanation:

Given that Amy drove her hoverboard 3 miles in 40 minutes, while Jim hopped 2 miles in 20 minutes, to determine who traveled at a greater average speed, the following calculation must be performed:

(3/40) x 60 = Amy's speed

0.075 x 60 = Amy's speed

4.5 = Amy's speed

So Amy traveled 4.5 miles per hour.

(2/20) x 60 = Jim's speed

0.1 x 60 = Jim's velocity

6 = Jim's speed

Instead, Jim traveled 6 miles per hour.

Therefore, Jim was the one who traveled at a greater average speed.

Answer: F

Step-by-step explanation:

\(\sin(x+y)=\sin x \cos y+\cos x \sin y\)

\(\tan x=2 \implies \sin x=\frac{2}{\sqrt{5}}, \cos x=\frac{1}{\sqrt{5}}\\\\\sin y=\frac{8}{17} \implies \cos y=-\frac{15}{17}\\\\\sin (x+y)=\left(\frac{2}{\sqrt{5}} \right) \left(-\frac{15}{17} \right)+\left(\frac{1}{\sqrt{5}} \right) \left(\frac{8}{17} \right)\\\\=-\frac{30}{17\sqrt{5}}+\frac{8}{17\sqrt{5}}\\\\=-\frac{22}{17\sqrt{5}}\\\\=-\frac{22\sqrt{5}}{85}\)

Answer:

$200.00

Step-by-step explanation:

$2400÷12=$200.

The sample distribution is approximately normal with a mean of 10 and a standard deviation of 1.

The distribution is slightly skewed to the left, with a slightly higher probability of lower readings than higher readings.

(b) If the sample minimum is lower than 9, this would indicate that the thermostat manufacturer's claim is false. This is because the manufacturer claims that the temperature will not go below 10 degrees, but the sample minimum of 9 suggests that it does. The probability of observing a sample minimum of 9 or lower is 0.25, which indicates that the probability of the temperature dropping below 10 degrees is relatively high.

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The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

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The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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Answer:

$2000 can get 250000 sheets of papers

Step-by-step explanation:

\(500/4=125\)

\(125*2000=250000\)

Answer:

The domain is (-infinity, infinity), or all real numbers.

The range is (-infinity, infinity), or all real numbers.

Answer:

56inches=1.42meters and 56inches=142.24

Step-by-step explanation:

Inches to meters online.

Give Lil Pump brainliest

Answer: -4/7

Step-by-step explanation:

To find the slope, let's change the equation to slope-intercept form.

\(4x+7y=9\)              [subtract both sides by 4x]

\(7y=-4x+9\)           [divide both sides by 7]

\(y=-\frac{4}{7}x+\frac{9}{7}\)

Now, we know the slope is -4/7.

Step-by-step explanation:

the slope of a line is the ratio y/x.

that means when going from one point to the other, how many units is y changing, when x changes a certain number of units.

so, going from one point to the other here, x changes by 30 units (from -12 to +18). and y changes 15 units (from -9 to 6).

therefore, the slope is

15/30 = 1/2

Answer:

the car travels 10km then 15km 60* north of east

Step-by-step explanation:

The left-hand side simplifies to 14, and the right-hand side is also 14. Therefore, the equation is true when m = 4.

"LHS = RHS" stands for "left-hand side equals right-hand side". It is a notation commonly used in mathematics to show that two expressions are equal to each other.

In mathematics, to substitute means to replace a variable or expression in an equation or function with a specific value or expression.

To substitute the value 4 for m in the given equation, we replace every occurrence of m:

m + 2(m + 1) = 14

4 + 2(4 + 1) = 14

4 + 2(5) = 14

4 + 10 = 14

14 = 14

14 is the result of simplifying the left and right sides, respectively. Consequently, when m = 4, the equation is accurate.

So, the value 4 is a solution to the given equation.

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Answer:

x² + 10x + 25

Step-by-step explanation:

To expand two quantities, we need to distribute each value in each quantity.

For example:

Start with multiplying the x in the first quantity with the x in the other quantity.

(x+5)(x+5) = x²...

Then multiply the x in the first quantity with the 5 in the other quantity.

(x+5)(x+5) = x² + 5x...

Repeat with the 5 in the first quantity.

(x+5)(x+5) = x² + 5x + 5x +25

Combine like-terms to simplify.

x² + 10x + 25

Answer:

x^2+10x+25 or (x+5)^2

Step-by-step explanation:

(x+5)(x+5)

Multiply x+5 and x+5 to get (x+5)^2 .

(x+5)^2

Use binomial theorem (a+b)^2 =a^2 +2ab+b^2  to expand (x+5)^2 .

x^2+10x+25

Answer: 9

Step-by-step explanation:

divide 2 by y and 18 and the the 2divided by 2 cancel out. then divide 18 by 2 and you get y = 9

The students need to earn $182 per month in order to accomplish their goals.

Division is the process of dividing a number by a given number.

Given that, the total cost for the class to go to the observatory is $910 and the students need money in 5 months.

To collect $910 in 5 months, students must earn $910/5 per month.

910/5

= 182

Hence, the students need to earn $182 per month in order to accomplish their goals.

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Answer:

  (x -14)² +(y -7)² = 1²

Step-by-step explanation:

You want the equation of the circle that represents the border of a logo centered 14 m right and 7 m up from the lower left corner of a soccer field. The logo is 2 m in diameter.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Since the origin of the coordinate system is the lower left corner of the field, the center is located at (h, k) = (14, 7). The diameter of 2 m means the radius is 1 m. Using these values in the equation, it becomes ...

  (x -14)² +(y -7)² = 1²

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer: no- for example 10 (5+4=9, 5+6=11) and all other even numbers

Step-by-step explanation:

that's just what works and many numbers are like this

Actually, all even numbers can't (try it!)

PLS MARK BRAINLIEST IF THIS HELPED!

Answer: No, 2, 4, 8, 10, and all positive even integers can't be written as the sum of 2 or more consecutive integers.

Step-by-step explanation:

I'm not absolutely sure if this is correct, but here is my thinking:

No even numbers can be written as the sum of 2 consecutive integers because the sum is always going to be odd. For example;

0 is not positive or negative, so it doesn't count.
2 can't be written as the sum of 2 or more integers. 0+1=1, 1+2=3, and decimals don't count, so, therefore, it cannot be written as a sum of 2 consecutive integers.

4 can't because 1+2=3, 2+3=5

Hope this helped.

Step-by-step explanation:

The 84 represents 80% of your grade and the 100 is 20 percent :

84 * 80%   + 100 * 20% =

84 (.8) + 100(.2) = 87.2 %

The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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Solution

For this case we have the following sets:

E = {v | v<4)

F={v | v>5}

We want to find the intersection and the union so we got:

The simplified expression involving complex numbers is given as follows:

5 + 5i.

Complex numbers are number that have a real and an imaginary part, and are defined as follows:

z = a + bi.

In which:

The basic relation of complex numbers is given as follows:

i² = -1.

The fraction for this problem is given as follows:

(2 + i)(4 - 2i)/(1 + i).

The numerator is simplified as follows:

(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.

Hence the fraction is of:

10/(1 + i).

To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:

10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.

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Answer:

3.5

Step-by-step explanation:

the one length 3.5 inche

To make 16 bags of the snack mix, Lily needs 2 cups of raisins.

Lily needs 12 cups of pretzels to make 16 bags of the snack mix.

If Lily uses 1 cup of pecans, she will need to use 5 cups of crackers.

The recipe will make 64 bags of the snack mix if Lily uses only 1 cup of pretzels.

To adjust the ingredients for each new situation, we need to consider the ratios between the original recipe and the desired number of bags.

Given the original recipe for 8 bags of snack mix:

2 cups of pretzels

1 cup of raisins

2.5 cups of crackers

0.25 cup of cranberries

0.5 cup of pecans

To make 16 bags of the snack mix, we can scale up the ingredients proportionally.

Since we are doubling the number of bags, we need to double the amounts of each ingredient:

Lily will need 2 cups × 2 = 4 cups of pretzels for 16 bags.

Lily will need 1 cup × 2 = 2 cups of raisins for 16 bags.

Lily will need 2.5 cups × 2 = 5 cups of crackers for 16 bags.

Lily will need 0.25 cup × 2 = 0.5 cups of cranberries for 16 bags.

Lily will need 0.5 cup × 2 = 1 cup of pecans for 16 bags.

To make 16 bags of the snack mix, Lily needs 2 cups of raisins, 4 cups of pretzels, 1 cup of pecans, and 5 cups of crackers.

If Lily uses 1 cup of pecans, she will need to use 2.5 cups × 1 = 2.5 cups of crackers to maintain the original ratio between the ingredients.

Lastly, if Lily uses only 1 cup of pretzels, the recipe will make 4 bags of the snack mix.

This is because we are halving the amount of the main ingredient (pretzels), which results in halving the overall quantity of the snack mix.

To make 16 bags of the snack mix, Lily needs 2 cups of raisins, 4 cups of pretzels, 1 cup of pecans, and 5 cups of crackers.

If Lily uses 1 cup of pecans, she will need to use 2.5 cups of crackers.

The recipe will make 4 bags of the snack mix if Lily uses only 1 cup of pretzels.

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The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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Answer:

7 groups or teams

Step-by-step explanation:

7 x 4 is 28, as close as we can get to 29.

Answer:

92 feet.

Step-by-step explanation:

The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

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