Gail ran 4 6/10 miles on Saturday and 6 8/10 miles on Sunday. How many miles did Gail run over the weekend?
Choices :
A. 11 miles
B. 10 4/ 10 miles
C. 11 4/20
D. 14 2/10​

Answer:

See below :)

Step-by-step explanation:

The easiest way to graph this is to find the x-intercept and y-intercept,

y-intercept:

The y-intercept is extremely easy to find as it's just the "b" in "y = mx + b"

If there is no b, it's (0,0). If there is a b, its (0,b)

This is because the y-intercept is where the lines hits the y-axis so we know x must be 0. We can plug in x as 0 to find y:

y = m(0) + b

y = b

In this case, the y-intercept is (0,3) because the b in y = -8/3x + 3

x-intercept:

The x-intercept requires a little more work. It's the same as the y-intercept. The x-intercept is where the lines hits the x-axis so we know y must be 0. The x-intercept is (x,0)

We can use this to plug in y as 0:

0 = mx + b

mx = -b

Now we use this to find the the x-intercept:

0 = -8/3x + 3

8/3x = 3

Divide both sides by 8/3:

x = 3 * 3/8

x = 9/8

In this case, the x-intercept is (9/8,0)

Now we can use these points and connect a line to them and then the lines keeps going forever. Look at the picture I uploaded :)

The simplified expression of trigonometric equation is cosθ.

To simplify the trigonometric expression tanθ/secθ-cosθ, let's first write everything in terms of sinθ and cosθ.

The tangent function is defined as sinθ/cosθ and the secant function is defined as 1/cosθ. By substituting these definitions into the expression, we get:

tanθ/secθ - cosθ = (sinθ/cosθ) / (1/cosθ) - cosθ

Simplifying further, we can multiply the numerator and denominator of the first fraction by cosθ to get:

[(sinθ/cosθ) * cosθ] / (1/cosθ) - cosθ

Canceling out the cosθ in the numerator, we have:

sinθ / (1/cosθ) - cosθ

Now, to divide by 1/cosθ, we can multiply the numerator and denominator by cosθ:

sinθ * cosθ / 1 - cosθ * cosθ

Using the identity sin^2θ + cos^2θ = 1, we can substitute sin^2θ with 1 - cos^2θ:

(cosθ * (1 - cos^2θ)) / (1 - cosθ * cosθ)

Expanding the numerator, we have:

cosθ - cos^3θ / 1 - cos^2θ

Now, let's simplify further by factoring out cosθ from the numerator:

cosθ(1 - cos^2θ) / 1 - cos^2θ

Since 1 - cos^2θ is equal to sin^2θ, we can substitute sin^2θ back into the expression:

cosθ * sin^2θ / 1 - cos^2θ

Finally, we can write the expression in terms of sinθ and cosθ only:

cosθ * sin^2θ / sin^2θ

Canceling out the common factor of sin^2θ, we are left with:

cosθ

Therefore, the simplified expression is cosθ.

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Answer:

98

Step-by-step explanation:

Yes, snow and "cold" weather are independent events. The probability of snow and a "cold" day is 15.

Based on the given probabilities, we can determine if snow and "cold" weather are independent events. Independent events occur when the probability of both events happening together is equal to the product of their individual probabilities.

P(snow) = 0.30
P(cold) = 0.50
P(snow and cold) = 0.15

If snow and cold are independent, then P(snow and cold) = P(snow) * P(cold).

0.15 = 0.30 * 0.50
0.15 = 0.15

Since both sides of the equation are equal, snow and "cold" weather are independent events.

Your answer: b. yes

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Using system of linear equations he will require 20kg of 15% copper and 30kg of 70% copper to produce an alloy of 48% in 50kg

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.

To solve this problem, we need to write a system of linear equations and find the equivalent amount of the metal required to make the desired amount of the alloy.

0.15x + 0.7y = 0.48(50) ..eq(i)

0.15x + 0.7y = 24 ...eq(i)

x + y = 50 ...eq(ii)

solving equation (i) and (ii)

x = 20, y = 30

He needs 20kg of 15% copper and 30kg of 70% copper to get 48% of 50kg of alloy.

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Answer:

\(y = - 1\)

Step-by-step explanation:

on the y- intercept the value of x is zero

the dilated of the rectangle of the area is 60 because if you multiple 6 by 10 that's how the area will be 60.

Answer:

4 1/12

Step-by-step explanation:

5-1 and 11/12

5-1=4

4-11/12=4 and 1/12

4, -4, 0 are examples of-iii. integers.

they are not in fractional.

The expression for the cubic function f is -5x^3 + 20x^2 - 25x.

To find an expression for a cubic function f(x) given specific values, we can start by using the general form of a cubic function: f(x) = ax^3 + bx^2 + cx + d.

We are given three points on the graph of the function: (5, 300), (-5, 0), and (0, 0), as well as (6, 0) which gives us a fourth point.

Substituting the x and y values into the equation, we get the following system of equations:

For point (5, 300):

300 = a(5^3) + b(5^2) + c(5) + d

For point (-5, 0):

0 = a(-5^3) + b(-5^2) + c(-5) + d

For point (0, 0):

0 = a(0^3) + b(0^2) + c(0) + d

For point (6, 0):

0 = a(6^3) + b(6^2) + c(6) + d

Simplifying these equations, we obtain a system of linear equations in terms of a, b, c, and d. Solving this system will give us the coefficients for the cubic function.

After solving the system, we obtain the expression for the cubic function:

f(x) = -5x^3 + 20x^2 - 25x

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Answer:

150 dived by 6=$25/hr

Step-by-step explanation:

i cant graph on here so srry

Answer: x=-12

Step 1: Simplify both sides of the equation.

4x+27=−33−x

4x+27=−33+−x

4x+27=−x−33

Step 2: Add x to both sides.

x+27+x=−x−33+x

5x+27=−33

Step 3: Subtract 27 from both sides.

5x+27−27=−33−27

5x=−60

Step 4: Divide both sides by 5.

x=−12

The standard deviation is 7.35.

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group

In order to determine the standard deviation, take the following steps:

Determine the mean of the observation: (87 + 91 + 74 + 73 + 80 + 84 + 68 + 75) / 8 =79

Determine the difference between each value and the mean and then square the result:

(87 - 79)² + ( 91 - 79) ² + (74 - 79)² + (73 - 79)² + (80 - 79)²  + (84- 79)²  + (68 - 79)²  +( 75- 79) ²

64 + 144 + 25 + 36 + 1 + 25 + 121 + 16 = 432

Determine the mean of the sum of the squared differences and then find the square root of the mean:

√432 / 8 = 7.35

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Answer:

Smallest is 9 3/2 middle is 1/3 and biggest is 125 2/3

Step-by-step explanation:

It's pretty self explanatory. Try looking at the whole number first and then focusing on the fraction!

Hope that helped! Can I also get brainliest? I need a few more to advance, if not thank you anyways and have a nice day!!!

here. this should help

Answer:

The value of cot theta is undefined for all the options

Step-by-step explanation:

I think the best way to go about this is by the use of a calculator.

All that needs to be done is to input the individual values to see where we have an answer that is out of it.

Now, moving away from the calculators, we know quite well that cot is a derivative of tan.

By knowing the values at which we have tan as undefined, we can appropriately see values where cot too would be undefined.

On a normal scientific calculator, there is no cot functionality.

The way around this is to express

Cot theta as 1/tan theta

Thus cot 90 = 1/cot(90) = calculation error

Cot 180 = 1/tan (180) = calculation error

Cot 270 = 1/tan 270 = calculation error

Cot 450 = 1/tan (450) = calculation error

This shows that the value of cot is undefined for all of these options

Answer:

180

Step-by-step explanation:

The summation notation calculator is a instrument is frequently referred to as a sigma notation calculator since it makes it simple to calculate the sum of a set of integers, also known as Sigma.

The consecutive addition of a group of numbers is known as a summation. One of the four fundamental arithmetic operations, along with subtraction, multiplication, and division, is addition. For a few numbers, particularly integers, it is easy to do, but with fractions and real numbers, it can be more difficult. This is where our summation calculator might be useful. The numbers can be manually entered or copied and pasted, separated by any non-numerical sign, with the exception of the minus and dot. There are shortcuts for computing the sums of particular sequences.

The lower and upper bounds, a mathematical formula to be used to compute each member of the sum series, and lastly the name of the variable to be used in the sigma expression must all be entered in the "Sigma notation" mode.

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First we determine the coordinates of the points of the shape:

p1 (-2, 4)

p2 (-2, 1)

p3 (-4, 3)

p4 (-4, 4)

After that, we add +5 to the x components, getting the following:

P1' (3, 4)

P2' (3, 1)

P3' (1, 3)

P4' (1, 4)

The calculated value of x in the circle is 42

From the question, we have the following parameters that can be used in our computation:

The circle

The angle in a semicircle is a right angle

So, we have

2x + 6 = 90

Evaluate the like terms

So, we have

2x = 84

Divide both sides by 2

x = 42

Hence, the value of x is 42

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Answer:

I belive is the 2nd answer choice because it seems like is a rational number

Answer:

0.5/0.7

Step-by-step explanation:

0.30/0.42

= simplify to the lowest term(look for a high number that can go in both of them(HCF)

which is 6

=0.5/0.7

if I am correct please mark as brainliest

Answer:

The suit originally cost $200.

Step-by-step explanation:

In order to calculate the original price of the suit, you can use a rule of three considering that $116 represents 58% of the original price:

116 → 58%

x  ←  100%

x=(116*100)/58

x=200

According to this, the answer is that the suit originally cost $200.

Answer:

free points nice

Step-by-step explanation:

What's this? Cute. Thnx for the freee pointttssss <3

The common ratio for infinite geometric series with first term -3/2 and sums twice the common ratio is -1/2.

First keep in mind the common ratio must -1 < r < 1 for geometric series converges.

Common ratio can be calculated using standard formula for infinite geometric series converges which is Sum = a/(1-r) with a as first term and r as common ratio. So,

Since sum is twice the common ratio, so the equation is

2r = a/(1-r)

we can substitute (1-r). So,

2r(1-r) = a

2r-2r^2 = -3/2

we can multiple all by two. So,

4r-4r^2 = -3

0 = 4r^2-4r-3

0 = (2r-3)(2r+1)

So the result is either r = 3/2 or r = -1/2. as previously mentioned above, r result only in -1 < r < 1. So, the result of r = 3/2 is rejected.

Thus, the common ratio is -1/2.

You question is incomplete, but most probably your full question was

An infinite geometric series has first term -3/2 and sums to twice the common ratio. Find the sum of all possible values for the common ratio.

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Answer:

f = -0.5

Step-by-step explanation:

i hope this helped have a good night

Answer:

\(\textsf{a) \quad $\dfrac{2}{5}$}\)

\(\textsf{b) \quad $\dfrac{5}{2}$}\)

Step-by-step explanation:

Given expression:

\(\left(\dfrac{4}{25}\right)^{\frac{1}{2}}\)

Rewrite 4 as 2² and 25 as 5²:

\(\implies \left(\dfrac{2^2}{5^2}\right)^{\frac{1}{2}}\)

\(\textsf{Apply the exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:\)

\(\implies \dfrac{(2^2)^{\frac{1}{2}}}{(5^2)^{\frac{1}{2}}}\)

\(\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:\)

\(\implies \dfrac{2^{(2\cdot\frac{1}{2})}}{5^{(2\cdot\frac{1}{2})}}\)

\(\implies \dfrac{2^1}{5^1}\)

\(\implies \dfrac{2}{5}\)

Given expression:

\(\left(\dfrac{4}{25}\right)^{-\frac{1}{2}}\)

Rewrite 4 as 2² and 25 as 5²:

\(\implies \left(\dfrac{2^2}{5^2}\right)^{-\frac{1}{2}}\)

\(\textsf{Apply the exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:\)

\(\implies \dfrac{(2^2)^{-\frac{1}{2}}}{(5^2)^{-\frac{1}{2}}}\)

\(\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:\)

\(\implies \dfrac{2^{(2\cdot -\frac{1}{2})}}{5^{(2\cdot -\frac{1}{2})}}\)

\(\implies \dfrac{2^{-1}}{5^{-1}}\)

\(\textsf{Apply the exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:\)

\(\implies \dfrac{1}{2^1 \cdot 5^{-1}}\)

\(\implies \dfrac{1}{2 \cdot 5^{-1}}\)

\(\textsf{Apply the exponent rule} \quad \dfrac{1}{a^{-n}}=a^n:\)

\(\implies \dfrac{5^1}{2}\)

\(\implies \dfrac{5}{2}\)

Answer:

First it is adding 15 then it starts adding 3 then 1

Step-by-step explanation:

Answer:

you subtract the number by 3

Step-by-step explanation:

the pattern is x-3 so the pattern is subtracting the number by 3 every time

I just need to fill 20 characters, the answer is right there on the sheet

The first-order Taylor formula for f(x, y) at (0, 0) is:

f(x, y) ≈ f(0, 0) + ∂f/∂x(0, 0)x + ∂f/∂y(0, 0)y

The second-order Taylor formula for f(x, y) at (0, 0) is:

f(x, y) ≈ f(0, 0) + ∂f/∂x(0, 0)x + ∂f/∂y(0, 0)y + (1/2)∂²f/∂x²(0, 0)x² + ∂²f/∂x∂y(0, 0)xy + (1/2)∂²f/∂y²(0, 0)y²

The first-order Taylor formula is an approximation of a function using its first derivatives.

In this case, the function f(x, y) is approximated at the point (0, 0) using the first partial derivatives ∂f/∂x and ∂f/∂y evaluated at (0, 0).

The formula consists of the function value at (0, 0) plus the partial derivatives multiplied by the corresponding variables x and y.

The second-order Taylor formula extends the approximation to include second partial derivatives.

In addition to the terms in the first-order formula, it includes the second partial derivatives ∂²f/∂x², ∂²f/∂x∂y, and ∂²f/∂y².

These terms account for the curvature of the function and provide a more accurate approximation near the point (0, 0).

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