Nilda has $250 in her savings account. She plans to save $15 per week from her salary. Iona has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take before the amount in each savings account is the same?

Answer:

x=7.3

x=\(7\frac{1}{3}\)

x=\(\frac{22}3}\)

just in different form

x - 7 =-x ÷ 2 + 4

x - 7 = \(-\frac{1}{2}\) x + 4

2x - 14 = -x + 8

2x + x = 8 + 14

3x = 22

x=\(\frac{22}3}\)

x=7.3

x=\(7\frac{1}{3}\)

The coordinates of the specified vertex after the given sequence of transformations is given by;

Q' = (3, -3).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Mathematically, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

By translating the coordinate Q (1, 3) two (2) units to the right, we have the following:

Coordinate Q (1, 3) → Coordinate Q' (1 + 2, 3) = Q (3, 3)

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection over the x-axis is given by this transformation rule:

(x, y)      →       (x, -y)

Coordinate Q' (3, 3) → (3, -3).

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We have proven that 21 divides 4n+1 + 52n−1 whenever n is a positive integer.

To prove that 21 divides 4n+1 + 52n−1 whenever n is a positive integer, we need to show that the expression 4n+1 + 52n−1 is divisible by 21, or in other words, that there exists an integer k such that:

4n+1 + 52n−1 = 21k

To do this, we can use mathematical induction.

Base case:

When n = 1, we have:

4(1) + 5(1) - 1 = 8

8 is not divisible by 21, but we can verify that it is true for n = 2:

Inductive step:

Assume that the statement is true for some positive integer k, that is:

4k+1 + 52k−1 = 21m

where m is some integer.

We need to show that the statement is also true for k + 1, that is:

4(k+1)+1 + 52(k+1)−1 = 21p

where p is some integer.

Starting with the left-hand side of the equation:

4(k+1)+1 + 52(k+1)−1

= 4k+5 + 52k+3 (using algebraic manipulation)

= 4k+1 + 4(4)k+4 + 5(52)k+1 + 5(52)−1

= (4k+1 + 52k−1) + 4(16k+1) + 5(52)k

Since we assumed that 4k+1 + 52k−1 is divisible by 21, we can substitute 21m for this term:

(4k+1 + 52k−1) + 4(16k+1) + 5(52)k = 21m + 4(16k+1) + 5(52)k

Simplifying further:

21m + 4(16k+1) + 5(52)k = 21(m + 16k + 5k) + 4

Since 21(m + 16k + 5k) is divisible by 21, we have shown that 4(k+1)+1 + 52(k+1)−1 is also divisible by 21. Therefore, by mathematical induction, the statement is true for all positive integers n.

Therefore, we have proven that 21 divides 4n+1 + 52n−1 whenever n is a positive integer.

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Answer:

x = 4

y = 2

Step-by-step explanation:

y = 3x – 10 (Multiply by -1)

y = 6x – 22

y = 6x – 22

-y = -3x + 10

0 = 3x - 12

3x = 12

x = 4

y = 3x – 10

y = 3(4) - 10

y = 12 - 10

y = 2

Answer:

52 marbles i think

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

6^2+8^2=10^2

following the pythagoras theorem this triangle is right triangle

The average weight of a random sample of 50 NFL players is 244.4 pounds.

An equation shows the relationship between two or more numbers and variables.

For a samples size (n) in normally distributed population, the sample mean is normally distributed, with mean μX=μ and standard deviation σX=σ/√n.

Hence for a sample of 50 NFL players with an average weight of 244.4 pounds:

Mean = mean = 244.4 pounds

The average weight is 244.4 pounds.

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The possible length of the third side of the triangle is x>52 inches.

The sum of the lengths of any two sides of a triangle is always greater than the length of the third side. If the sum of the two sides is equal to the third side, then the two sides will coincide with the third side so a triangle cannot be formed. Hence, the sum of the two sides must be greater than the third side for the triangle to be formed.

Given: Sides of two sides of a triangle as 15 and 37 inches.

let the third side of the triangle be x.

then x>15+37

       x>52 inches.

Hence, The possible length of the third side of the triangle is x>52 inches.

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Answer:

yes

Step-by-step explanation:

Answer:

ofc 8 there are 8 post card ♦️

Answer:

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222

Step-by-step explanation:

22222222222222222222222222222222222222

Joule per meter second is the unit of measurement for momentum flux or power per unit area. It is commonly used in physics and engineering to quantify the rate of energy transfer or momentum flow per unit area.

Joule per meter second (J/m^2s) is not the correct unit for momentum flux or power per unit area. The correct unit for momentum flux is Newton per square meter (N/m^2), also known as Pascal (Pa), while the correct unit for power per unit area is watt per square meter (W/m^2). The joule per meter second (J/m^2s) is actually the unit for volumetric energy dissipation rate, which measures the rate at which energy is being dissipated within a fluid volume per unit volume. It is used in the study of fluid dynamics and turbulence.

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Answer:

$12

Step-by-step explanation:

$25 on credit card - $5 payment - $8 clothes = what's left on the card

25 - 5 = 20

20 - 8 = 12

there's $12 dollars left on that credit of yours

Answer:

Nicole should take 13 1/8 cups of snack mix.

Step-by-step explanation:

If a serving size is 7/8 and Nicole wants to take 15 serving sizes (15 7/8's), then we must multiply 7/8 by 15:

15 × 7/8

Write 15 over 1 (15 = 15/1) to make the calculations easier:

15/1 × 7/8

Multiply the numerators and denominators separately:

15 × 7 / 1 × 8

105 / 8

Instructions don't say you have to do this but I will convert this improper fraction into a mixed number:

105/8 = 13 1/8

Dana needs to score 93 on the fourth examination to raise his average to 86.

To find out the score Dana needs on the fourth examination to raise his average to 86, we can use the concept of averages.

Let's denote the score Dana needs on the fourth examination as X. We know that he has taken three examinations and received scores of 82, 89, and To find the average, we sum up all the scores and divide by the number of examinations:

Average = (82 + 89 + 80 + X) / 4

We want this average to be 86. So we can set up the equation:

86 = (82 + 89 + 80 + X) / 4

To solve for X, we multiply both sides of the equation by 4:

4 * 86 = 82 + 89 + 80 + X

344 = 251 + X

Now, subtracting 251 from both sides:

344 - 251 = X

93 = X

Therefore, Dana needs to score 93 on the fourth examination to raise his average to 86.

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When palpating the abdomen, you should note whether the liver is enlarged in the right upper quadrant, option d.

The liver is the largest internal organ located in the upper right portion of the abdomen. When assessing for liver enlargement through palpation, healthcare professionals typically focus on the right upper quadrant of the abdomen.

By concentrating on the right upper quadrant during palpation, healthcare professionals can gather information about the size, tenderness, or abnormalities of the liver. This specific region provides the best access and proximity to assess the liver and detect any potential enlargement or abnormalities.

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Answer:

11) D, 12) D

Step-by-step explanation:

if you do the math it works

The slope of the line tangent to the graph of \(y = x^2 - 2x + 1\) when \(x = 1\) is 2.



1. Take the derivative of the given function: \(y' = 2x - 2\).

2. Substitute \(x = 1\) into the derivative: \(y' = 2(1) - 2 = 2\).



To find the slope of the tangent line, we need to differentiate the given function with respect to \(x\). The derivative of \(x^2\) is \(2x\), and the derivative of \(-2x\) is \(-2\). Therefore, the derivative of \(y = x^2 - 2x + 1\) is \(y' = 2x - 2\).

Next, we substitute \(x = 1\) into the derivative to find the slope at that point. By plugging in \(x = 1\) into the derivative, we get \(y' = 2(1) - 2 = 2\). Thus, the slope of the tangent line at \(x = 1\) is 2.

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There will be 160 rabbits after three months And so on. So, we have used the exponential growth formula to find the number of rabbits in Elkgrove. After one month, there will be 40 rabbits.

Given that the number of rabbits in Elkgrove doubles every month and there are 20 rabbits present initially. In order to determine the number of rabbits in Elkgrove, we need to use an exponential growth formula which is given byA = P(1 + r)ⁿ where A is the final amount P is the initial amount r is the growth rate n is the number of time periods .

Let the number of months be n. If the number of rabbits doubles every month, then the growth rate (r) = 2. Therefore, the formula becomes A = 20(1 + 2)ⁿ.

Simplifying this expression, we get A = 20(2)ⁿA = 20 x 2ⁿTo find the number of rabbits after one month, substitute n = 1.A = 20 x 2¹A = 20 x 2A = 40 .

Therefore, there will be 40 rabbits after one month.To find the number of rabbits after two months, substitute n = 2.A = 20 x 2²A = 20 x 4A = 80Therefore, there will be 80 rabbits after two months.

To find the number of rabbits after three months, substitute n = 3.A = 20 x 2³A = 20 x 8A = 160. Therefore, there will be 160 rabbits after three months And so on. So, we have used the exponential growth formula to find the number of rabbits in Elkgrove. After one month, there will be 40 rabbits.

After two months, there will be 80 rabbits. After three months, there will be 160 rabbits. The number of rabbits will continue to double every month and we can keep calculating the number of rabbits using this formula.

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The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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We can be reasonably confident that our estimate of 67% is within 2.5% of the true proportion.

What is percentage?

A percentage is a way to describe a part of a whole. such as the fraction  1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

To determine if a sample size of 1,400 is adequate for estimating a proportion of 67%, we need to calculate the margin of error and compare it to the given tolerance level of 0.025.

We can use the following formula to calculate the margin of error:

E = z x √(p x (1-p)/n)

where:

Plugging in the values, we get:

E = 1.96 x √(0.67 x (1-0.67)/1400) ≈ 0.025

So, the margin of error is approximately 0.025. This means that we can expect the true proportion to be within 0.025 of the estimated proportion with 95% confidence.

Since the calculated margin of error is equal to the desired tolerance level, we can conclude that a sample size of 1,400 is adequate for estimating a proportion of 67% with the given level of confidence and tolerance. Therefore, we can be reasonably confident that our estimate of 67% is within 2.5% of the true proportion.

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Answer:

12x +54

Step-by-step explanation:

3x + 9(X+6) =

Distribute

3x+9x +54

12x +54

Answer:

\( 12x + 54\)

Step-by-step explanation:

\(3x + 9(x + 6) \\ 3x + 9x + 54 \\ = 12x + 54\)

Step-by-step explanation:

this simply means that the sum of both short segments must be the same as the length of the whole line.

so,

x + 6 + x + 8 = 10

2x + 14 = 10

x + 7 = 5

x = 5 - 7 = -2

From the description of the function as we can see in the question, the function is a quadratic function.

The term quadratic function refers to a type of function that is obtained from the equation ax^2+ bx + c =0.

A function in which as the domain values approach infinity, the range values approach infinity and as the domain values approach negative infinity, the range values approach infinity is a quadratic function.

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The values of the variables and numbers in radical form are presented as follows;

43a) x > -5

40a) a > 0

44b) x < 0

47e) x > 0

43b) x = The set of all real numbers

44a) The set of all numbers

45 a) x = 14

45 b) x = 0

45 c) x = -1

45 d) x = -4

45 e) x = 1

42 d)x = 5/196

9 e) x = 4

9 f) x = 8

9 a) √(0.6/36) ≈ 0.13

9 h) √((4 - 10)/(0.01)) = i·10·√6

A radical also known as a root is represented using the square root or nth root symbol and is the opposite of an exponent.

43 a) \(\sqrt{x + 5}\)

x + 5 > 0

Therefore, x > -5

40a) ∛a

a > 0

44b) √(-5·x)³

-5·x < 0

x < 0

47e) √(13 - (13 - 2·x))

(13 - (13 - 2·x)) > 0

13 > (13 - 2·x)

0 > -2·x

x > 0

43b) √|x| + 1

x = All real numbers

44 a) √(-2·x)²

√(-2·x)² = -2·x

x = Set of all numbers

45 a) √(x - 5) = 3

(x - 5) = 3² = 9

x = 9 + 5 = 14

45b) √(2·x + 4) = 2

2·x + 4 = 2²

2·x = 2² - 4 = 0

x = 0/2 = 0

45c) √(x·(x + 1)) = 0

(x·(x + 1)) = 0

(x + 1) = 0

x = -1

45 d) √(x + 5) = -1

(x + 5) = (-1)²

x + 5 = 1

x + 5 = 1

x = 1 - 5 = -4

x = -4

45e) √x + x² = 0

√x = -x²

(√x)² = (-x²)² = x⁴

x  = x⁴

1 = x⁴ ÷ x = x³

x = ∛1 = 1

x = 1

42d) \(\sqrt{\dfrac{5}{x} } +3= 17\)

\(\sqrt{\dfrac{5}{x} }= 17-3 =14\)

\(\dfrac{5}{x} }=14^2=196\)

\(x = \dfrac{5}{196}\)

9e) \(\sqrt{\dfrac{4}{x} } = 1\)

\(\dfrac{4}{x} } = 1^2\)

x × 1² = 4

x = 4

19f) ∛x - 2 = 0

∛x = 2

x = 2³ = 8

9a) \(\sqrt{\dfrac{0.6}{36} }\)

\(\sqrt{\dfrac{0.6}{36} }\) = \(\sqrt{\dfrac{1}{60} }= \dfrac{\sqrt{15}}{30} \approx 0.13\)

9h) \(\sqrt{\dfrac{4-10}{0.01} }\)

\(\sqrt{\dfrac{4-10}{0.01} }\)= √(-600) = √(-1)·√(600) = i·10·√6

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Answer:

first start with the first four loves whitch takes 7 cups of water then you split the resipe 9 1/2 cups of water

Step-by-step explanation: