Juan uses 1/5 liter to water a small plant and uses 1/2 liter to water a large plant now he has 2/10 liters left in a pitcher how much did Juan have in the beginning

Step-by-step explanation:

y ( 2y + 5 )   + 4 ( 2y+3)

2y^2 + 5y     +  8y + 12  

 2y^2   + 13 y   + 12

Answer:

Step-by-step explanation:

From B on the ground straight up to A and then turn the corner to follow the dotted line...that is a 90 degree angle. So in order to find the angle of depression, subtract 66 from 90 to get 24 degrees. Subsequently, that is also the angle of elevation (the base angle inside the triangle) due to parallel lines and whatnot.

Answer:

Step-by-step explanation:

Let the initial amount of yellow paint be x

Then we have x increased by 30% equals 3.9 liters:

According the nature of the roots for the equation -x^2 + 4x - 4 = 0 is real, equal, and rational.

To determine the nature of the roots for the quadratic equation -x^2 + 4x - 4 = 0, we can examine the discriminant, which is the expression under the square root in the quadratic formula.

The discriminant (D) of a quadratic equation of the form ax^2 + bx + c = 0 is given by D = b^2 - 4ac.

In this case, the coefficients are:

a = -1

b = 4

c = -4

Substituting these values into the discriminant formula, we have:

D = (4)^2 - 4(-1)(-4)

= 16 - 16

= 0

Since the discriminant is equal to 0, it indicates that the quadratic equation has real and equal roots.

Therefore, the nature of the roots for the equation -x^2 + 4x - 4 = 0 is real, equal, and rational.

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Answer:

y = 1/8x + 6

Step-by-step explanation:

y = 1/8x + 6

Answer:answer is 1.43

Step-by-step explanation:

Answer:

Step-by-step explanation:

No x intercept means it can't touch the x axis y=x^{2}+1 does the trick since it moves the whole thing up one unit

The sum of the first 30 consecutive whole numbers is 465.

To find the sum of the first 30 consecutive whole numbers, we can use the formula for the sum of an arithmetic series. In this case, the first term is 1 and the last term is 30. Plugging these values into the formula, we get:

Sum = (30/2)(1 + 30) = 15(31) = 465

Therefore, the sum of the first 30 consecutive whole numbers is 465.

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The sum of the first 30 consecutive whole numbers is 465.

The consecutive whole numbers are 1, 2, 3, 4, 5, 6, 7,.....,30.

The sum of first n consecutive numbers is Sₙ=n/2(2a+(n-1)d)

Here, from the given sequence n=30, a=1 and d=1

Now, S₃₀= 30/2 (2×1+(30-1)1)

= 15 (2+29)

= 15×31

= 465

Therefore, the sum of the first 30 consecutive whole numbers is 465.

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The volume of the solid the region defined by the given curves must be rotated about the x-axis is V = \(\frac{384\pi }{5}\).

Given that,

The region defined by the given curves must be rotated about the x-axis to determine the solid's volume, which is y =6 -x², y =2.

We know that,

Take the equation of the curves about the x- axis

y =6 -x², y =2.

Substitute y = 2 in equation y = 6 - x²

2 = 6 - x²

-x² = 2-6

x² = 4

Taking square root on both sides

x = ±2

Now, volume formula is define by using washer method

V =  \(\pi \int\limits^a_b {[f(x)]^2 - [g(x)]^2} \, dx\)

V = \(\pi \int\limits^2_{-2} {[6-x^2]^2 - [2]^2} \, dx\)

V = \(\pi \int\limits^2_{-2} {(36 + x^4 - 12x^2 - 4}) \, dx\)

V = \(\pi \int\limits^2_{-2} {(x^4 - 12x^2 - 32)} \, dx\)

V = \(\pi( [\frac{x^5}{5}] - 12\times\frac{x^3}{3} -32x)^2_{-2}\)

V = \(\pi[( [\frac{2^5}{5}] - 12\times\frac{2^3}{3} -32(2))-([\frac{-2^5}{5}] - 12\times\frac{-2^3}{3} -32(-2))]\)

V = \(\pi[( [\frac{32}{5}] - 4 \times 8 -64)-( [\frac{-32}{5}] - 4\times(-8) +64)]\)

V = \(\pi[( [\frac{32}{5}] - 32 -64)-( [\frac{-32}{5}] +32 +64)]\)

V = \(\pi( [\frac{384}{5}] )\)

V = \(\frac{384\pi }{5}\)

Therefore, The volume of the solid is V = \(\frac{384\pi }{5}\)

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Answer:

people not rinsing out they dirty dishes

Step-by-step explanation:

Answer:

When people like pick me girls are like, oh my gosh im so ugly I wish I was pretty. To get everyone's validiation or to be cute its annoying.

Anyways have a great day :)

Answer:

-9x + x = 17 – 1  

8x = 16

X = 16/8  

X=2

Answer:

x= -16

Step-by-step explanation:

-2x+5=37

-2x=37-5

-2x=32

x= -16

Answer:

x= -16

Step-by-step explanation:

The goal in this problem is to get X on one side by itself.

We know that the opposite of subtraction is addition and the opposite of multiplication is division.

so to get 5 over to the right side, we need to subtract.

-2x+5=37 >>-2x= 37-5= 32

your problem now reads -2x= 32

We still have -2 on the left side and we need it to go to the right side so that X is by  itself. The opposite of multiplication is division, so we will need to divide

-2x=32÷-2 >> x=-16

Step-by-step explanation:

every position in a number stands for a different power of 10, which is then multiplied by the digit in that position.

and the value of the whole number is the sum of these little individual calculations.

left of the decimal point we start with 10⁰ = 1 as basic value.

then the second position left of the decimal point stands for 10¹ = 10.

the third position left of the decimal point stands for 10² = 100.

and so on.

now, right of the decimal point we go in the other direction. the first position right of the decimal point stands for 10^-1 = 1/10.

the second position stands for 10^-2 = 1/100.

and so on.

so, the 7 in this number has the value of 7/10 or 7 tenths.

the given number would be fully written

3×10⁶ + 6×10⁵ + 8×10⁴ + 4×10³ + 5×10² + 9×10¹ + 1×10⁰ + 7×10^-1 + 4×10^-2

the decimal point tells us for a number where to begin counting with 10⁰ and 10^-1.

The inequality 26/9 > x represents a line with an open circle at 26/9 going toward positive infinity represented by an arrow.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality \(2\frac{8}{9} > x\).

26/9 > x.

Now, As the inequality is strictly greater than 26/9 it would be represented by a line open circled at 26/9 and going towards +∞.

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Answer:

9) x=10

10) x=8

Step-by-step explanation:

2x-4+3x+2=48

5x-2=48

+2.     +2

5x=50

/5   /5

x=10

3x+6=2x+14

    -6       -6

3x=2x+8

-2x -2x

x=8

Answer:

\(a_n=28-6n\)

Step-by-step explanation:

Formula for arithmetic sequence:  \(a_n=a+(n-1)d\)

Given:

\(a_6=a+5d=-8\)

\(a_{15}=a+14d=-62\)

\(a_{15}-a_6\implies 9d=-54\)

\(\implies d=-6\)

Substituting found value for d into one of the equations and solving for a:

\(a_6=a+(5 \times -6)=-8\)

\(\implies a=22\)

\(\implies a_n=22-6(n-1)\)

\(\implies a_n=28-6n\)

if x is an integer it does not show the median of the 5 numbers to be greater than the average of the 5 numbers

The value that, when a dataset is arranged, falls exactly in the center is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.

Finding the middle number requires sorting all the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers). Example: When the numbers are arranged (1, 4, 7), the number 4 lies in the center, making it the median of 4, 1 and 7.

(1) x must be higher than one or three. It will be the median if it is 8 or fewer.

Consequently, if x = 7, then the list is 1, 3, 7, 8, 12, and median is 7, while the average is 31/5, which equals 6.2, and the answer is YES.

The list is 1, 3, 8, 8, 12, and the median is 8 if x = 8. Average = 32/5 = 6.4; if x = REALLY BIG, the list is 1, 3, 8, 12, and x; and the median is 8; the answer is YES. The answer to the question is NO since the average is REALLY BIG.

insufficient

(2) According to the aforementioned findings, x must be at least 9.

Depending on the amount of x, the list is either 1, 3, 8, x, 12, or 1, 3, 8, x.

The median and mean expressions are the same, regardless of whether order is appropriate:

Mean (average): 8 median = (1 + 3 + 8 + 12 + x)/5 = (24 + x)/5 mean (average):

The mean is at least (24 + 9)/5 = 33/5 = 6.6 since x is at least 9.

This is not convincing because the mean might be either millions or 6.6 (if x = 9) (if x is huge).

insufficient

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Answer:

C

Step-by-step explanation:

The average is the total of the scores divided by 5.  

128 x 5 Gives us the total scores of 640.  I know that one bowler had a score of 160.  I will subtract that from the total of 640.  640-160 = 480.  Since the 4 bowlers left, all had the same score, I will divide 480 by 4 to get 120

The three accurate statements comparing the two data sets are:

The typical student takes longer to get ready for school than the typical teacher.

The amount of time it takes students to get ready is more variable than the amount of time it takes teachers to get ready.

It is not possible to determine the specific difference in minutes between the two groups based solely on the given box plots.

Comparing the two box plots, we can make the following accurate statements about the two data sets:

The typical student takes longer to get ready for school than the typical teacher:

This statement is not supported by the box plots.

The line dividing the box in the student box plot is at 16, indicating that the median (typical value) for students is 16 minutes.

In contrast, the line dividing the box in the teacher box plot is at 25, indicating that the median for teachers is 25 minutes.

Therefore, the typical teacher takes longer to get ready for school than the typical student.

The amount of time it takes students to get ready is more variable than the amount of time it takes teachers to get ready:

This statement is supported by the box plots.

The whiskers of the student box plot range from 10 to 30, indicating a larger spread of data compared to the teacher box plot, where the whiskers range from 15 to 50.

This suggests that the amount of time it takes students to get ready is more variable than the amount of time it takes teachers.

It typically takes teachers 9 minutes longer than students to get ready for school:

This statement is not supported by the box plots.

The box plot does not provide information about the specific difference in minutes between the two groups.

While we can see that the medians of the two box plots are different, we cannot determine a specific numerical difference such as 9 minutes.

Therefore, the accurate statements comparing the two data sets are:

The typical teacher takes longer to get ready for school than the typical student.

The amount of time it takes students to get ready is more variable than the amount of time it takes teachers to get ready.

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Answer: 28 hours

Step-by-step explanation:

\(V=7(4)(1.2)\\\\v=33.6\ m^3\)

\(\displaystyle\\20\ l/min=\\\\\frac{20(60)}{1000} =\\\\\frac{1200}{1000}=\\\\1.2\ m^3/hour\)

\(\displaystyle\\v=\frac{V}{t} \\\)

Multiply both parts of the equation by t(t≠0):

\(vt=V\)

Divide both parts of the equation by v (v≠0):

\(\displaystyle\\t=\frac{V}{v} \\\\t=\frac{33.6}{1.2} \\\\t=28 \ hours\)

Answer:

We need to find the volume first.

We will use our famous volume of a rectangular solid formula:

V = l x w x h

So, V = 12 x 7 x 1.2 = 100.8 cubic meters.

Now, cost = 100.8 x 27.25 = 2746.8 PHP

Conclusion:The water will cost PHP 2,746.8.

Answer:

x = 22

Step-by-step explanation:

Add the expressions for the angle measures.

5x + (3x + 4) + (3x + 4) + 5x = 360

Combine like terms.

16x + 8 = 360

Subtract 8.

16x = 352

Divide by 16.

x = 22

Answer:

22⁰

Step-by-step explanation:

5x + 3x + 4 + 3x + 4 + 5x = 360⁰

=> 16x + 8 = 360

=> 16x = 360 - 8

=> 16x = 352

=> x = 352/16

=> x = 22

Hence,

Value of x is 22⁰

Answer:

$25,689.77

Step-by-step explanation:

\(AV=PV(1+i)^n\\AV=24750(1+.0125)^3\\25689.77\)

Answer:

$25,689.775

Step-by-step explanation:

The interest has to be in decimal form. So 1.25/100=0.0125

Plug everything into the equation for compound equation \(A=P(1+\frac{r}{t})^{n}^{t}\)

Which is A = 24750 [(1 + 0.0125/1)^(1)(3)]

Type them in a calculator and get A ≈ $25,689.775

***the question says "compounded annually" so the equation for compound interest \(A=P(1+\frac{r}{t})^{n}^{t}\) should be used. Your provided formula of A = P(1 + R times T) shouldn't be used here, it is for simple interest but not compound.*** (^_^)

Answer:

A term in a geometric sequence

Step-by-step explanation:

Geometric Sequences

There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.

In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence of areas of the copies of a chart as a function of the number of times it was copied.

50%, 25%,  12.5%, 6.25%, ...

It's known the next term will follow the previous sequence. Note the second term is equal to the first term divided by 2. The third term is equal to the second divided by 2 and so on.

a2 = a1/2

a3=a2/2

a4=a3/2

This corresponds to a geometric sequence with common ratio 1/2, thus the answer is:

A term in a geometric sequence

Answer:

Not to be confused - C is the correct answer.

Step-by-step explanation:

a term in a geometric sequence

T is the linear transformation described by T(w,z) in L(C2). This indicates that the linear transformation T changes two-dimensional vectors of the type (w,z) to (-z,w).

To get T's eigenvalues, solve the equation T(v) = v, where is the eigenvalue and v is the eigenvector. By solving this equation, we discover that T's eigenvalues are λ1 = -1 and λ2 = 1.

For each eigenvalue, the associated eigenspaces are the subspaces of C2 that are spanned by the eigenvectors of T. The eigenspace is the subspace covered by the eigenvector λ1= -1 is (1,0). The eigenspace is the subspace spanned by the eigenvector λ2= 1 is (0,1).

As a result, the subspaces covered by (1,0) and (1,1) are the generalized eigenspaces corresponding to the different eigenvalues of T. (0,1).

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The simple interest earned by Edin after 3 years is $45.

The formula for the simple interest is-

SI = PRT/100

The interest which would be earned in 3 years:

SI = 300*5*3 / 100

SI = 45

Thus, the interest earned by Edin after 3 years is $45.

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Answer:

2

Step-by-step explanation:

Answer:

-3 = -v + 7

-3 - 7 = -v

3+7 = -v

-10 = -v

10 = v

Step-by-step explanation:

this is the answer i got, using basic algebra...

i hope this helps....

have a great day ahead :)

Answer:

v = 10

Step-by-step explanation:

\(-3=-v+7\\\\-v+7=-3\\\\-v+7-7=-3-7\\\\-v=-10\\\\\frac{-v=-10}{-1}\\\\ \boxed{v=10}\)

Hope this helps.