Find the equation of the line that contains the point (-1,-2) and is parallel to the line 5x+7y=12. Write the equation in slope-intercept form, if possible.

Given a logarithmic function;

So, this follows a law of logarithm given as;

Hence, the logarithmic function tells us that 3 is the power of 5 that equals 125

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

13 hours

Step-by-step explanation:

if he drives 495 miles in 9 hours, he drives 55 miles each hour. 55x13=715

Answer:

13 hours

Step-by-step explanation:

Charlie drove 495 miles in

= 9 hours

∴ Rate

= miles/hours

= 495/9

= 55 miles per hour

∴ No. of hours to travel 715 miles

= miles/miles per hour

= 715/55 hours

= 13 hours

Thus, 13 hours would it take to drive 715 miles.

The canister holds 80 cups and they need 84 cups of flour to make a dozen pizzas. So, the cooks cannot make a dozen pizzas without refilling the canister. The solution has been obtained by using unitary method.

What is the unitary method?

The unitary technique is used to first calculate the value of each individual unit, and only then is the value of the necessary quantity of units calculated.

We are given that a pizzeria stores flour in a 5-gallon container. We assumed that 16 cups make 1 gallon.

So, number of cups that will make 5 gallon is 16 * 5 = 80 cups

Since, each pizza they make uses 7 cups of flour. So, for making 12 pizzas, they require 12 * 7 = 84 cups of flour.

Hence, the cooks cannot make a dozen pizzas without refilling the canister.

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Answer:

Sometimes

Step-by-step explanation:

Answer:

The width of the field is 49 yards and the length is 204 yards.

Step-by-step explanation:

Let the width be b.

Length = 8+4b

The perimeter of the rectangle = 506 yards

The perimeter of the rectangle is given by :

P=2(l+b)

So,

506=2(8+4b+b)

253 = 8+5b

245 = 5b

b = 49 yards

Length, l = 8+4b

= 8+4(49)

= 204 yards

So, the width of the field is 49 yards and the length is 204 yards.

Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

the domain of the function 0≤x≤7.

What is the domain and range of function?

A function's domain and range are its components. A function's range is its potential output; its domain is the set of all conceivable input values. Domain, Function, and Range. If a function f: A B exists that maps every element in A to an element in B, then A is the domain and B is the co-domain. The image of an element 'a' under a relation R is provided by 'b,' where (a,b) R. The set of photographs makes up the function's range.

From the graph, the value of x varies from The x-values -7, -2, 5, and 7

So the domain of the function will be

0≤x≤7

Hence, the domain of the function 0≤x≤7.

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The parent function that has a domain of all real values of x and a range of y ≥ 0 is :  Absolute value

What is Function ?

A function is a mathematical relationship between two sets of values, typically represented by variables, where each input (or domain value) maps to a unique output (or range value). In other words, a function assigns exactly one output value to each input value.

The absolute value function, denoted as |x|, has a domain of all real values of x, meaning it can accept any real number as input. The range of the absolute value function is y ≥ 0, which means that the output (or the absolute value of x) will always be greater than or equal to 0.

Reciprocal, cubic, and linear functions do not satisfy the criteria of having a range of y ≥ 0 for all real values of x. The reciprocal function, for example, has a domain that excludes 0, as division by zero is undefined, and its range does not include negative values. The cubic and linear functions, in general, can have a range that includes negative values depending on their coefficients and shifts.

Therefore, The parent function that has a domain of all real values of x and a range of y ≥ 0 is :  Absolute value

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The number of years it would it take for there to be one person for every square yard is 108,325.68 years.

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years

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Answer:

c is the answer

Step-by-step explanation:

1.5 x 3 =4.5

4.5 - 0.25

= 4.25

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

the answer is (-1,2), hope this helps.

Step-by-step explanation:

please mark me as brainlest

Answer:

Squirrel has High BLood pressure

Step-by-step explanation:

Squirrels

The steps Sergey could use to solve the quadratic equation by completing the square is 5(x2 + 4x) = –7

We should know that in completing the square method both sides of the equation are made perfect squares.

The given equation is 5x²+20x-7=0

Solving this equation by completing the square method we have

5(x²+4x+4)=-7

This means that (x+2)=±√27/5

Simplifying further we have

5(x²+4x)=7

Then expanding to make ²HS a perfect square we have

5(x²+4x+4)=7+20

This means that 5(x²+4x)=-7

Therefore the step he could use is 5(x²+4x)=-7\

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Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Answer:

the third one

Step-by-step explanation:

20.342 --> 0.3

0.3 × 100 = 30

The chart that best represents the student results from a class assignment is B. Histogram or bar graph.

Both histograms and bar charts are graphic vertical and horizontal bars that visually display frequencies with columns plotted on a graph.

The frequencies are depicted on the Y-axis (vertical axis).

The X-axis (horizontal axis) represents the measured variable.

A. Frequency table

B. Histogram or bar graph

C. Pareto chart

D. Pictogram

E. Pie chart

Thus, the best chart to represent the student results from a class assignment is B. Histogram or bar graph.

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Based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.

To determine the distance between Houston, TX and Dallas, TX using the given scale, we can set up a proportion using the distances on the map and the actual distances.

Let's denote the distance between Houston and Dallas as "x" (in miles).

According to the scale provided, 2.3 centimeters on the map represents a distance of 348 miles. This can be expressed as:

2.3 cm / 348 miles = 1.6 cm / x miles

To find the value of "x," we can cross-multiply and solve the equation:

(2.3 cm) * (x miles) = (1.6 cm) * (348 miles)

2.3x = 556.8

Divide both sides by 2.3 to isolate "x":

x = 556.8 / 2.3

x ≈ 242.0869565

Therefore, based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.

Please note that this is an approximation based on the given scale and the assumption that the scale is linear and consistent throughout the map. Actual distances may vary and should be verified using more accurate measurements or reliable sources.

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The school enrollment figure 5 years ago = 972, 299

The school enrollment figure today =850, 693

In rounding to the nearest thousand we follow the steps:

1. Examine the digit at hundreds place

2. If the digit at hundreds place is less than 5, replace each one of the digits at hundreds, tens and units place by 0 and keep all other digits as they are.

If the digit at hundreds place is 5 or greater than 5, increase the digit at thousands place by 1 and replace each one of the digits at hundreds, tens and ones place by 0.I

Answer:

0.0390625

Step-by-step explanation:

by the equation then x=y*(16/5)

then when x=0.125 , y = 0.0390625

Answer:

\(0.76d\)

Step-by-step explanation:

Given

\(Formula = d - (0.24)d\)

Required

Equivalent expression

We have:

\(Formula = d - (0.24)d\)

Open bracket

\(Formula = d - 0.24d\)

\(Formula = 0.76d\)

Answer:

d.f.(treatment) = 6

d.f.(error) = 35

Step-by-step explanation:

In the question we have

k = 7

r= 6

n= rk= 42

1. The degrees of freedom for the numerator is calculated as under

d.f.(treatment) = k-1= 7-1= 6

Where k gives the number of columns

2. The degrees of freedom for the denominator is calculated as under

d.f.(error) = k (r-1)= n-k= 42-7=35

where k gives the number of columns and r gives the number of rows.

This is for one way ANOVA as asked above.

The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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Answer:

I am confident the answer is H.

Answer:

Step-by-step explanation:

we have to get y by itself here i think

so

x + 2y = 12

2y = -x + 12

y = -1/2 + 6

7x + 2y = 0

2y = -7x

y = -3.5x

hope this helps <3