Patrick earn $330 mowing Lawns during the summer months he bought four boxes of candles were 16 each for his lawn mowing money how much money was left after he bought those boxes of candles

Answer:

x<5

Step-by-step explanation:

|2x+8|+1<11

collect like terms

|2x+8|<11-1

2x+8<20

collect like terms

2x<20-8

2x<10

divide both side by 2

x<5

\(2(3x-1) \geq 4x-6\\\\\implies 6x -2 \geq 4x -6\\\\\implies 6x \geq 4x -6+2\\\\\implies 6x \geq 4x-4\\\\\implies 6x -4x \geq -4\\\\\implies 2x \geq -4\\\\\implies x \geq -\dfrac42\\\\\implies x \geq -2 \\\\\text{Interval,} ~ [-2, \infty)\)

Answer:

21.6

Step-by-step explanation:

7.20 x 3 =21.6

Answer: 118

Step-by-step explanation:

Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.

https://brainly.in/question/28196155#:~:text=Step%2Dby%2Dstep%20explanation%3A&text=1%20The%20corresponding%20angles%20are,alternate%20exterior%20angles%20are%20equal. See #5.

Answer:

y+4=3(x+2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-(-4))/(2-(-2))

m=(8+4)/(2+2)

m=12/4

m=3

y-y1=m(x-x1)

y-(-4)=3(x-(-2))

y+4=3(x+2)

The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.

The given statement is true.

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Answer:

The greater than symbols looks like this    >    , and the less than symbol looks like? <

Answer:

Greater than symbol: >

Less than symbol: <

Greater than or equal to symbol: ≥

Less than or equal to symbol: ≤

Equal symbol: =

In this case, you are answering with the greater than symbol as well as the less than symbol.

The greater than symbols looks like this > , and the less than symbol looks like < .

The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given:

The variance = 2916,

The mean life of a battery, m = 518 min,

The total number of samples, n = 81

Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,

z = x - m / (σ / √ n)

Here, x is the expected value, σ is the deviation, and z is the probability.

Substitute the values,

z = 526.4 - 518 / (54 / √81)         [σ = √ variance = √2916  = 54]

z = 1.4

Consult the cumulative standard normal table

P (z < 526.4) = 0.9192,

But we know that

P (z > 526.4) = 1 - P (z < 526.4)

P (z > 526.4) = 1 - 0.9192 = 0.0808

Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.

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\(\dfrac{5}{6}.\)

\(\dfrac{\dfrac{2}{3} }{\dfrac{4}{5} }\)

\(\dfrac{2}{3} *\dfrac{5}{4}\)

\(\dfrac{2}{3} *\dfrac{5}{4}=\dfrac{2*5}{3*4}=\dfrac{10}{12}=\dfrac{5}{6}.\)

Step-by-step explanation:

this question is marked as "college".

that cannot be. this is elementary school stuff, so, I hope you are an elementary school student.

remember what you learned about divisions of fractions :

a/b / c/d = (a×d) / (b×c)

so, "outer / inner".

you can also say

a/b / c/d = a/b × d/c = (a×d) / (b×c)

as dividing by a fraction is the same as the multiplication with the upside-down version of that fraction.

the result of a multiplication of fractions is then "upper / lower".

so, your problem here is

2/3 / 4/5 = (2×5) / (3×4) = 10/12 = 5/6

Answer:

D.payment history

Step-by-step explanation:

The factory will put 441 cans of soda in 7 cases.

If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.

Given:

Number of flavors = 9

Cans per flavor = 7

Number of cases = 7

To calculate the total number of cans, we can multiply these values:

Total cans = Number of flavors × Cans per flavor × Number of cases

Total cans = 9 × 7 × 7

Total cans = 441

To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).

Hence, the factory will put 441 cans of soda in 7 cases.

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In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy  the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).

Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.

From the question, p = number of pounds Juan will buy.

candy=costs $8 per pound

$20/$4 = 5 pounds

p>5

at least 5 pounds

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Answer:

y = -1/4x + 5/4

Step-by-step explanation:

the slope is -4, and the y intercept looks to be about 1.25 if that helps

The integral is ln|x + cos(x)| + C, where C represents the constant of integration.

To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:

First, let's rewrite the integral in a slightly different form to simplify the process:

∫(1/(x + cos(x))) dx

We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).

Rearranging this equation, we get dx = du/(1 - sin(x)).

Substituting these values, the integral becomes:

∫(1/(u(1 - sin(x)))) du

Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:

∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C

Replacing u with its original expression, we have:

ln|x + cos(x)| + C

Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.

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Please upload the definition of the functions h(x) and f(x) so we can use them to answer the question.

We are asked to evaluate the expression

h(8) - 2 * f(3)'so we first evaluate f(3) and h(8) given the functional expressions of f an h:

f(x) = - x^2 + 8x - 11

f(3) = - 3^2 + 8 (3) - 11 = 4

h(x) = - x - 7

h(8) = - 8 - 7 = -15

Now we use these values in the requested expression:

h(8) - 2 * f(3) = - 15 - 2 * (4) = -15 - 8 = - 23

Answer: Hi that would be 2, hope that helps!

Step-by-step explanation:

Answer:

2 units I used the distance formula

Answer:

really hope this helps or answers your questions!!

Step-by-step explanation:

Mean 49

Mode 45

Median 50

range is 5

Explanation:

Put the numbers in order

45,45,47,50, 51,52,53,

The number that happens MOST the MODE is 45

The number in the MIDDLE, the MEDIAN is 50

The MEAN is the total of the 7 numbers shared out evenly.

Total 343

343 Divided by 7 =49

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

x=-6, y=0

Step-by-step explanation:

it's impossible to fully solve an equation where 2 variables are unknown. So we have to make it equal to 1 set. to do this, we have to think logically.

if y=x+6, then that means wherever it says y, we can put x+6. because x+6=x+6, right? so we plug x+6 into the second equation and get.

x+6=0.5x+3

to solve for x we subtract 6 from one side and 0.5 from the other and get

0.5x=-3

then we multiply both sides by 2 to make be a whole number

x=-6

now we just plug this into either equation. because the first one is easier, we can just set it up as

y=(-6)+6

which means y=0

Answer:The area of a square is defined as the number of square units needed to fill this shape. In other words, when we want to find the area of a square, we consider the length of its side. Since all the sides of the shape are equal, its area is the product of its two sides. The common units used to measure the area of the square are square meters, square feet, square inch, and square cm.

The area of a square can also be calculated with the help of other dimensions, such as the diagonal and the perimeter of the square.

if it doesnt help im sorry

Answer:

y = -1/3x - 11

Step-by-step explanation:

We need to find our y-intercept. Substitute the coordinate for the x and y in slope-intercept form (y=mx+b). Your x would be 3, and your y would be -12. The equation from that is -12=-1/3(3) + b. Multiply -1/3 and 3. You'll get -12=-1+b. Add the reciprocal of -1 ( positive 1) to -12. You'll get -11=b. Now that you have your b (y-intercept), you can write it in slope-intercept form. y= -1/3x - 11

Answer:

Step-by-step explanation:

No explanation is needed because there is no question.

Answer:

you got it

Step-by-step explanation:

no explanation needed

In a 3×4 matrix with reduced row echelon form given by U=[1,0,5,1;0,1,1,1;0,0,0,0], where a1=[−1,3,−2], and a2=[2,-3,-1]  is given and the value of a3 = [-5, -1, 1, 0], a4 = [-1, -1, 0, 1] .

Since the reduced row echelon form of A has only two pivot columns, the matrix A can have at most two linearly independent columns. We already know that a1 and a2 are linearly independent (neither is a scalar multiple of the other), so we can use them as a basis for the column space of A.

To find a3 and a4, we need to find two vectors that are linearly independent of a1 and a2 and that span the null space of A (i.e., are solutions to the homogeneous equation Ax=0).

To find a basis for the null space of A, we can set the non-pivot columns of A equal to free variables, and then solve for the corresponding pivot variables in terms of the free variables. In this case, the non-pivot columns are columns 3 and 4, so we set x3=t and x4=s for some scalars t and s, and solve for x1 and x2:

x1 = -5t - s

x2 = -t - s

Thus, the general solution to Ax=0 can be written as a linear combination of the vectors [-5, -1, 1, 0] and [-1, -1, 0, 1]. We can check that these two vectors are linearly independent, so they form a basis for the null space of A. We can use them as a3 and a4:

a3 = [-5, -1, 1, 0]

a4 = [-1, -1, 0, 1]

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____The given question is incorrect, the correct question is given below:

Let A be a 3×4 matrix with reduced row echelon form given by U=[1,0,5,1;0,1,1,1;0,0,0,0]. If a1=[−1,3,−2], and a2=[2,-3,-1] Find a3 and a4

The probability that a person phones the cable company and waits between 10 to 20 minutes for service is approximately 0.0729, or about 7.29%.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

We can start by standardizing the values using the z-score formula:

z = (x - μ) / σ

where:

x = the wait time in minutes

μ = the population mean (average wait time of 28 minutes)

σ = the population standard deviation (5.5 minutes)

For x = 10 minutes:

z = (10 - 28) / 5.5 = -3.27

For x = 20 minutes:

z = (20 - 28) / 5.5 = -1.45

Next, we can use a standard normal distribution table (or a calculator or software) to find the area under the standard normal curve between these two z-scores.

Using a standard normal distribution table, we can find that the area to the left of z = -1.45 is 0.0735, and the area to the left of z = -3.27 is 0.0006. Therefore, the area between z = -3.27 and z = -1.45 is:

0.0735 - 0.0006 = 0.0729

Hence, the probability that a person phones the cable company and waits between 10 to 20 minutes for service is approximately 0.0729, or about 7.29%.

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Answer:

y

Step-by-step explanation:

becauss

Answer:

pppppp

Step-by-step explanation:

ppppppp