john is saving to buy a television that costs $1,250 john currently has $200 saved he plans to save an additional $50 per week how many weeks will it take john to have $1,250 saved

Answer:

The permeter will be 26 units

Step-by-step explanation:

First to find this you need to know what the value of x is to do this I will use the equation 3x - 7 = x + 2

1. add seven to both sides leaving 3x = x + 9

2. Then subtract the 1x from both sides leaving 2x = 9

3. Then divide 9 by 2 which will be 4.5, x = 4.5

Then just plug 4.5 into each x value 4.5 + 2 and 3(4.5) - 7

1. 4.5 + 2 = 6.5

2. 3(4.5) - 7              13.5 - 7 = 6.5

The perimeter of the rectangle below in simplest form will be 4(x - 3).

Length of the rectangle = 3x - 7

Width of the rectangle = x+2

The perimeter of a rectangle is given as 2(length + width). The perimeter of the rectangle given will then be:

= 2(length + width)

= 2(3x - 7) + 2(x + 2)

= 6x - 14 + 2x + 4

= 4x - 12 = 4(x - 3)

Therefore, the perimeter of the rectangle in simplest form will be 4(x - 3).

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A regular singular point is a point at which the differential equation has a non-removable singularity. The point x=0 is a regular singular point for problems 1-4. Two solutions for x>0 can be found by solving the differential equation around x=0.

A regular singular point is a point at which the differential equation has a non-removable singularity. In order to identify a regular singular point, we must first identify the point at which the equation has a non-removable singularity. For problems 1-4, the point x=0 is a regular singular point. To find two solutions for x>0, we can solve the differential equation around x=0. First, we must identify the coefficients of the equation, which will allow us to determine the order of the equation. Once we have determined the order, we can use the properties of regular singular points to find two solutions for x>0. For example, the equation may be of the form y' + P(x)y = Q(x), where P(x) and Q(x) are functions of x. Using the properties of regular singular points, we can solve for two solutions of the form y = x^r*F(x), where F(x) is a function of x and r is the order of the equation.

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Answer:

Amanda.

Step-by-step explanation:

Ryan was 7 pound and gained 4.2 pounds which is only around a 60% Increase. Amanda on the other hand gained 6.9 pounds which is around a 110% Increase.

Answer:

Amanda had greater percent increase by weight.

Step-by-step explanation:

When Ryan was born, he weighed 7 pounds. At 6 months, he weighed 11.2 pounds. Amanda weighed 6 pounds when she was born, and 12.9 pounds at 6 months. Which baby had a greater percent increase in weight? Explain.

Answer:hi the answer is x=6

hope this helped

Step-by-step explanation:

The annual equivalent cost (AEC) for the pickup truck is $4,308. We found the equivalent uniform annual cost (EUAC) first.

To calculate the AEC, we need to first find the equivalent uniform annual cost (EUAC) which includes both the initial cost and the present value of the maintenance and operation costs.

Find the present value of maintenance costs over five years using the gradient formula:

where A = $135, i = 12%, g = 0, n = 5

PV maintenance = $501.21

Find the present value of operating costs over five years using the present value formula:

where C = $0.2/mile * 344 miles/month * 12 months/year = $827.52/year, i = 12%, n = 5

PV operation = $3,322.08

Find the EUAC using the formula:

where A/P = [(1+i)^n * i] / [(1+i)^n - 1]

Finally, convert the EUAC to AEC by adding the present value of the salvage value and multiplying by the interest rate:

where PV salvage = $3,580 / \((1+i)^5\)

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Answer: The answer would be 3/7.

Step-by-step explanation:

Answer:

There was a 50% chance that the goldfish would swim to the left

Step-by-step explanation:

Percentage means "amount in one hundred".

\(\textsf{one in two}=\sf \dfrac{1}{2}=\sf \dfrac{1\times 50}{2 \times 50}=\dfrac{50}{100}=50\%\)

Newspaper headline:

There was a 50% chance that the goldfish would swim to the left.

Answer:

Step-by-step explanation:

1)

\(AB^2 = BD^2 + AD^2\\\)                 ------- ( 1 )

     \(= 4^2 + (2\sqrt6)^2\\\\=16 + (4 \times 6)\\\\= 16 + 24\\\\= 40\)

\(AB = \sqrt {40} = \sqrt {4 \times 10} = 2\sqrt{10}\)

2)

\(AC^2 = AD^2 + DC^2\)              --------------( 2 )

     \(=(2 \sqrt6)^2 + 6^2 \\\\= 24 + 36\\\\=60\)

\(AC= \sqrt{60} = \sqrt{4 \times 15} = 2 \sqrt{15}\)

3)

BC² = AB² + AC²

(4 + 6)²  = 40 + 60

100 = 100

Satisfies Pythagoras Theorem, therefore triangle ABC is right angles triangle.

Answer:

2 mph

Step-by-step explanation:

Distance = speed × time

time = distance / speed

If x is the speed of the current, then 12 + x is the downstream speed and 12 − x is the upstream speed.

The time downstream is the same as the time upstream, so:

21 / (12 + x) = 15 / (12 − x)

Cross multiply and solve:

21 (12 − x) = 15 (12 + x)

252 − 21x = 180 + 15x

72 = 36x

x = 2

Let's check our answer.  At 14 mph, he can travel 21 miles in 1.5 hours.  At 10 mph, he can travel 15 miles in 1.5 hours.

So the speed of the current is 2 mph.

Answer:

That's weird he would definitely have to be a genius to start high school at 7.

Answer:

\(\frac{13}{6}\)inches

Step-by-step explanation:

Given parameters:    

  Growth of A = \(1\frac{3}{4}\) inches

  Growth of B = \(-\frac{1}{4}\) inches  

  Growth of C = \(\frac{2}{3}\) inches

Unknown:

Total growth for the three trees  = ?

Solution:

 The total growth;

 Total growth =  Growth of A + Growth of B + Growth of C  

 Total growth  = \(\frac{7}{4}\)  + (\(-\frac{1}{4}\) ) +  \(\frac{2}{3}\)

 Total growth  = \(\frac{21 - 3 + 8}{12}\)

Total growth = \(\frac{26}{12}\)   = \(\frac{13}{6}\)inches

Postulates and Theorems of Parallel Lines

First, we need to know what type of angles are <3 and <7. Following the definition:

If two lines are crossed by another line, the angles in matching corners are called Corresponding Angles.

Angles 3 and 7 are corresponding angles and they are told to be congruent.

Now we apply the postulate that reads:

The Converse of the Corresponding Angles Postulate. If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.

The postulate that can be used to prove that the lines are parallel is The Converse of the Corresponding Angles Postulate

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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Answer:

1/2

Step-by-step explanation:

Dοe must pay Wick R506 398.00 - R71 872.50 = R434 525.50 in damages.

The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.

Tο calculate the damages, we need tο find οut the prοpοrtiοn οf negligence fοr each driver and apply it tο the damages.

Let D represent Dοe and W represent Wick.

Dοe's negligence = 23%

Wick's negligence = 33%

Tοtal negligence = 23% + 33% = 56%

Therefοre, Dοe is 23%/56% = 0.4107 οr 41.07% liable, and Wick is 33%/56% = 0.5893 οr 58.93% liable.

Damage tο Range Rοver = R175 000

Dοe's liability = 41.07% οf R175 000 = R71 872.50

Wick's liability = 58.93% οf R175 000 = R103 127.50

Salvage value οf Pοrsche = R125 000

Pre-accident value οf Pοrsche = R985 000

Lοss οf value οf Pοrsche = R985 000 - R125 000 = R860 000

Wick's liability fοr lοss οf value = 58.93% οf R860 000 = R506 398.00

Therefοre, Dοe must pay Wick R506 398.00 - R71 872.50 = R434 525.50 in damages.

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Answer:

\(\frac{12}{35}\)

Step-by-step explanation:

\(\frac{-4}{5} * \frac{3}{5} * (\frac{-6}{7} ) * \frac{5}{6}\)

\(\frac{(-4) * 3}{5 * 1} * \frac{(-1)}{7} \\\\\frac{12}{35}\)

Answer:

D

Step-by-step explanation:

2.33 I think

The critical value that corresponds to a 91% confidence level is 1.7

'Critical value is a cut-off value that is used to mark the start of a region where the test statistic, obtained in hypothesis testing, is unlikely to fall in. In hypothesis testing, the critical value is compared with the obtained test statistic to determine whether the null hypothesis has to be rejected or not.'

According to the given problem,

Confidence level = 91%

Now, α = ( 100 - 91 ) %

             = 9%

             = 0.09

Area of each tail = \(\frac{0.09}{2}\)

                             = 0.045

Area in the middle = 1 - 0.045

                               = 0.955

Now, if we look up this area on the z-table, the critical value will come as 1.6954, which is nearly equal to 1.7.

Hence, we can conclude, the critical value is 1.7.

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By answering the presented question, we may conclude that Therefore, 1  expressions cm on the map corresponds to a real distance of 3.2 km. 

In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

Scale 1:

320000 means that 1 unit on the map represents his 320000 units in the real world.

To find the actual distance represented by 1 cm on the map, you need to convert the units to the same scale.

1 kilometer = 100000 cm

So,

1 unit on the map = 320000 units in the real world

1 cm on the map = (1/100000) km in the real world

Multiplying both sides by 1 cm gives:

1 cm on the map = (1/100000) km * 320000

A simplification of this expression:

1 cm on the map = 3.2 km

Therefore, 1 cm on the map corresponds to a real distance of 3.2 km. 

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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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The statement p-value .015 significant at the .05 level οf significance is cοrrect.

The prοbability value, οr p value, indicates the likelihοοd that yοur data cοuld have been true under the null hypοthesis. This is accοmplished by estimating the prοbability οf yοur test statistic, which is the figure οbtained frοm a statistical analysis οf yοur data.

Here we knοw that When the p-value is less than 0.05, the null hypοthesis that there is nο difference between the means is rejected, and we cοme tο the cοnclusiοn that there is a significant difference. The presence οf a significant difference cannοt be inferred if the p-value is greater than 0.05.

The given p-value =0.015

Since p value  0.015 < 0.05 significance level , sο result is significant at 5% level.

Hence the given statement is cοrrect.

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Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

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Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0

Answer:

Step-by-step explanation:

The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

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Using the perimeter formula, the total length of sparkling lights he can add to the banner is 40.56ft.

The perimeter of a shape is its whole length. It is any border or outline's length that defines a two-dimensional geometric shape. Different figures may have the same perimeter depending on their sizes.

The same wire can be used to create a square if each of its four sides is the same length.

Here in the question,

We have to find the perimeter of the whole figure.

Now the total perimeter =

Sum of sides of the triangle + sum of sides of quadrilateral and the sum of the circumference of the semi-circle.

Perimeter = 10 + 5 + 3 + 10 + πr

= 28 + 3.14 × 8/2

= 28 + 12.56

= 40.56ft.

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The complete question is:

Bobby is creating a banner for the homecoming parade. The banner consists of an isosceles triangle, a rectangle, and a semicircle. He wants to add sparkling lights around the trim of the banner.

What is the total length of sparkling lights he can add to the banner?​​

The square of a binomial, when the binomials are subtracted, is defined as follows:

(a - b)² = a² - 2ab + b².

When the two binomials are added, the square is given as follows:

(a + b)².

Expanding the square, we have that:

(a + b)² = (a + b) x (a + b).

(a + b)² = a² + ab + ab + b².

(a + b)² = a² + 2ab + b².

Which is the result presented in this problem.

Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:

(a - b)² = (a - b) x (a - b).

(a - b)² = a² - ab - ab + b².

(a - b)² = a² - 2ab + b².

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The relationship between the depth(d), the base area (b) and volume (V) is d = 2400/b

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Let d represent the depth of the tank, b represent the area of the base and V represent the volume.

The depth of water is inversely proportional to the area of its base at constant volume. Hence

d = V/b

When b = 200 ft² and d = 12:

12 = V/200

V = 2400

d = 2400/b

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