Veronica is saving money to buy a saddle for her horse that costs $175. She plans to save $10 the first month and then increase the amount she saves by $5 each month after the first month. How many months will it take her to save $175? (Whoever knows this, YOU ARE A LIFE SAVER

The equation that describes the function is f(x) = -x + 1

The table represents a linear function. Therefore, let's use slope formula to

write the equation;

where

m = slope

b = y-intercept

m = -2 - 0 / 3 - 1 = - 2 / 2 = -1

y = -x + b

let's find b using (1, 0)

0 = -1 + b

b = 1

Therefore,

y = -x + 1

The function can be written as f(x) = -x + 1

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Answer:

11) 11x-10

x=10

Step-by-step explanation:

SPEED RUN

To determine the better deal between AT&T and Sprint, we need to compare the cost per minute for each plan. Sprint offers a lower cost per minute, making it the better deal.

To determine which deal is better, we need to compare the cost per minute for each plan. For AT&T, the cost per minute is $76.00/500 minutes = $0.152 per minute. For Sprint, the cost per minute is $54.00/450 minutes = $0.12 per minute.

Therefore, the better deal is Sprint because it offers a lower cost per minute compared to AT&T.

Answer:

I believe the answer  is A, but I can't be completely sure.

Step-by-step explanation:

Answer:

3.

Step-by-step explanation:

We have been given graph of a function. We are asked to find the value of our given function at [tex]x=-2[/tex].

To find the value of our given function at [tex]x=-2[/tex], we need to find the y-value of our given function when [tex]x=-2[/tex].

We can see that value of y-coordinate is 3, when [tex]x=-2[/tex], therefore, at [tex]x=-2[/tex] the value of the function is 3.

2 to the fifth power over 3 squared all raised to the fourth power

[tex]\left(\dfrac{2^5}{3^2}\right)^4=\dfrac{(2^5)^4}{(3^2)^4}=\dfrac{2^{5\cdot4}}{3^{2\cdot4}}=\dfrac{2^{20}}{3^8}[/tex]

Answer: 2 to the twentieth power over 3 to the eighth power

Used:

[tex]\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\(a^n)^m=a^{n\cdot m}[/tex]

Answer:

yes

Step-by-step explanation:

Answer:  The required value of b lies in the interval [0.5, 6.5].

Step-by-step explanation:  We are given to find the value of b so that the following fraction belong to the interval [−2, 1] :

[tex]f=\dfrac{5-2b}{4}.[/tex]

According to the given information, we can write

[tex]-2\leq f\leq 1\\\\\Rightarrow -2\leq \dfrac{5-2b}{4}\leq1\\\\\Rightarrow -8\leq 5-2b\leq 4\\\\\Rightarrow -8-5\leq-2b\leq 4-5\\\\\Rightarrow -13\leq -2b\leq -1\\\\\Rightarrow 13\geq 2b\geq 1\\\\\Rightarrow \dfrac{13}{2}\geq b\geq \dfrac{1}{2}\\\\\Rightarrow 6.5\geq b\geq 0.50[/tex]

Thus, the required value of b lies in the interval [0.5, 6.5].

Answer:

The answer is 2 actually, this is a fraction question.

Step-by-step explanation:

When we subtract 125−(−35)  the result will be 160.

Two or more expressions with an Equal sign is called as Equation.

The given expression is 125−(−35)

Subtraction is an operation that represents removal of objects from a collection.

Minus is the operator of subtraction.

One hundred twenty five minus of minus thirty five.

We know that when minus is multiplied with minus operator the result will be positive.

So 125+35

When one hundred twenty five is added with thirty five the result will be one hundred sixty

160

Hence, when we subtract 125−(−35)  the result will be 160.

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The statement (x – y)z = xz – yz is always true due to the distributive property in mathematics. Moreover, an algebraic expression in the simplest form does have like terms. Like terms are grouped together to simplify the expression.

For every real number x, y, and z, the statement (x – y)z = xz – yz is always true. This is an illustration of the distributive property in mathematics, which states that for all real numbers, the equation a(b + c) = ab + ac holds true. In the given equation, the place of 'a' is taken by 'z', while 'x' and 'y' replace 'b' and 'c' respectively.

On the other hand, an algebraic expression in simplest form does have like terms. Like terms are terms with the same variable part. For instance, in the expression 3x2 + 2x - x2 + 4 +5x - 2, the like terms can be combined to simplify the expression to 2x2 + 7x + 2.

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Answer:

A weak negative correlation

Step-by-step explanation:

[tex]correlation, r = \frac{∑(y-\alpha)(x-\beta }{\sqrt{∑(y-\alpha)^2∑(x-\beta )^2 } }[/tex]

where,

[tex]\alpha = \frac{∑y}{n} \\\beta =\frac{∑x}{n} \\∑ = summation[/tex]

[tex]\alpha = \frac{3230}{4} = 807.5\\\\\\\beta =\frac{46}{4} = 11.5[/tex]

[tex]therefore,\\\\r= -0.12924[/tex]

This represents a weak negative correlation

Answer:A weak Negative correlation

Step-by-step explanation:

Since Tia kayaked 2400 meters at a constant rate in 1.5 hours on Saturday. On Sunday, she kayaked 200 meters per hour faster. Tia’s average rate on Sunday is B. 1800 meters per hour

Average rate is the change of quantity with time.

Since Tia kayaked 2400 meters at a constant rate in 1.5 hours on Saturday. On Sunday, she kayaked 200 meters per hour faster. To find Tia’s average rate on Sunday, we proceed as follows

To find Tia's average rate on Sunday, we first need to find Tia's average rate or speed on Saturday.

Tia's speed on Saturday, s = d/t where

Since

Substituting the values of the variables into the equation, we have that

s = d/t

= 2400 m/1.5 h

= 1600 m/h

Sine Tia kayaked 200 meters per hour faster on Sunday, Tia's average rate or speed on Sunday is s' = 1600 meters per hour + 200 meters per hour = 1800 meters per hour

So, Tia’s average rate on Sunday is  B. 1800 meters per hour

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Tia's average rate on Sunday was 1800 meters per hour, as she kayaked at a speed that was 200 meters per hour faster than her speed on Saturday which was 1600 meters per hour.

To calculate Tia's average rate on Sunday, we first need to find her speed on Saturday. Given that she kayaked 2400 meters in 1.5 hours, we can apply the formula speed = distance/time to find that her speed on Saturday was 1600 meters per hour (2400m/1.5h = 1600 m/h). On Sunday, Tia kayaked 200 meters per hour faster than her Saturday's speed, making her average rate on Sunday 1800 meters per hour (1600 m/h + 200 m/h).

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The correct expression is P + 10 = -3

We have a sentence - "10 more than P is -3".

We have to determine the expression that represents the sentence.

The expression representing the above statement is -

n = x - y

According to the question, we have -

10 more than P is -3

We can write it as a expression -

P + 10 = -3

Hence, the correct expression is P + 10 = -3

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Answer:

49.8 grams.

Step-by-step explanation:

We have been given that 33.2 g of sugar is needed to make 4 cakes.

First of all, we will find quantity of sugar needed to make one cake as:

[tex]\text{Sugar needed to make one cake}=\frac{33.2\text{ gm}}{4}[/tex]

[tex]\text{Sugar needed to make one cake}=8.3\text{ gm}[/tex]

To find quantity of sugar needed to make 6 cakes, we will multiply 6 by 8.3 grams.

[tex]\text{Sugar needed to make 6 cakes}=6\times 8.3\text{ gm}[/tex]

[tex]\text{Sugar needed to make 6 cakes}=49.8\text{ gm}[/tex]

Therefore, 49.8 grams of sugar is needed for 6 cakes.

Final answer:

The astronomer calculates the diameter of the Sun using trigonometry and the given angle and distance, arriving at an approximate value of 1,727,804 miles which is a reasonable estimate when compared to the actual diameter of the Sun.

Explanation:

To calculate the diameter of the Sun, the astronomer uses the given angular size and the distance from the Earth to the Sun. Since we have the angle of 32 minutes (which is about 0.533° when converted to degrees), we can set up the following relationship using trigonometry:

diameter of the Sun = 2 × (distance to the Sun) × tan(½ × angular size in radians)

Let's convert the angular size from minutes to degrees and then to radians:

32 minutes = 32' / 60 = 0.533°

To convert degrees to radians, we use the fact that 180° is equivalent to π radians:

0.533° × (π radians / 180°) = 0.0093 radians

Now, we can use the distance to the Sun which is given as 92,919,800 miles and apply the formula:

diameter of the Sun = 2 × 92,919,800 miles × tan(0.0093 radians)

Performing the calculation:

diameter of the Sun ≈ 2 × 92,919,800 × 0.0093

diameter of the Sun ≈ 1,727,804 miles

This is an approximation because the angular size varies slightly due to the elliptical orbit of Earth. Comparing to the actual diameter of the Sun, which is about 1.39 million kilometers (or about 864,000 miles), we can see that our calculated value is a reasonable estimate, keeping in mind that trigonometric calculations rely on a circular orbit assumption and ideal conditions.

Answer:

D) 17.25

Step-by-step explanation:

If you want to summarize all the data points with a single number you want a measure of center such as mean. The mean for the data set is 17.25. All the others represent a measure of spread.

Answer:

17.25

Step-by-step explanation:

Final answer:

By calculating 5/7 of 27, we find that approximately 19 students are wearing jeans today after rounding down to the nearest whole number.

Explanation:

To find out how many students are wearing jeans, we need to calculate 5/7 of the 27 students in the class.

First, we determine the value of one seventh of the class by dividing the total number of students by 7:

27 ÷ 7 = 3.8571 (we can round this to 3.86 for simplicity)

Next, we multiply this result by 5 to find five sevenths:

3.86 × 5 = 19.3

Since we cannot have a fraction of a student, we round down to the nearest whole number. Therefore, approximately 19 students are wearing jeans today.

It's important to understand and apply fractions and division to solve such mathematical problems. This example showcases the practical application of these concepts.

The average rate of change in the number of bacteria between Hour 2 and Hour 5 is approximately -3,482 bacteria/hour.

To find the average rate of change in the number of bacteria between Hour 2 and Hour 5, we need to calculate the difference in the number of bacteria at Hour 5 and Hour 2, and then divide it by the difference in time (3 hours).

At Hour 2, substitute x = 2 into the function f(x) = 40,000(0.75)^x:

f(2) = 40,000(0.75)^2 = 40,000(0.5625) = 22,500 bacteria.

At Hour 5, substitute x = 5 into the function:

f(5) = 40,000(0.75)^5 = 40,000(0.3164) = 12,656 bacteria.

Now we can calculate the average rate of change:

Average rate of change = (f(5) - f(2)) / (5 - 2) = (12,656 - 22,500) / 3 = -3,482 bacteria/hour. The average rate of change in the number of bacteria between Hour 2 and Hour 5 is approximately -3,482 bacteria/hour.

Final answer:

The inverse of a function occurs when the roles of x and y are interchanged, reflecting the function's graph across y = x.

Explanation:

The inverse of a function occurs when the roles of x and y are interchanged, which involves reflecting the function's graph across the line y = x. For a function to have an inverse, it must pass the horizontal line test, meaning each output value corresponds to a unique input value.