Alessa had 50 in her account. she then received four $-25 charges to her account. what is the new balance of her account

18.75 inches is the length of the rectangle and 18.75 inches is the width of rectangle.

The area of Rectangle is length times of width.

The perimeter of a rectangle is 50 inches.

Perimeter=2(Length+Width)

Length=3W

Perimeter=50 inches

50=2(3W+W)

50=2(4W)

50=8W

Divide both sides by 8

50/8=W

W=6.25

Length=3(6.25)=18.75.

Hence, the length of rectangle is 18.75 inches and width is 6.25 inches.

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Answer:

x | -7      -5     -3  

y | -21    -15    -9

Step-by-step explanation:

y = 3x

If x = -7  then y = 3 × (-7) = -21

  x = -5  then y = 3 × (-5) = -15

  x = -3  then y = 3 × (-3) = -9

To calculate the probability that a child from the class brought a lunchbox, we need to determine the total number of children who brought a lunchbox and divide it by the total number of children in the class.

Given the information provided:

There are 20 children in total.

12 of the children are girls, and 8 of the girls brought a lunchbox.

The remaining 8 children are boys, and 6 of the boys did not bring a lunchbox.

To find the total number of children who brought a lunchbox, we add the number of girls who brought a lunchbox to the number of boys who brought a lunchbox:

8 (girls who brought a lunchbox) + 8 (boys who brought a lunchbox) = 16.

The probability that a child from the class brought a lunchbox is therefore:

Number of children who brought a lunchbox / Total number of children = 16 / 20 = 4/5 = 0.8.

Among the answer choices provided, the correct probability is:

A. 15 (This seems like a formatting error and is not a valid option.)

B. 3/10

C. 12 (This seems like a formatting error and is not a valid option.)

D. 3/4

E. I don't know

Therefore, the correct answer is: D. 3/4

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Answer:

coefficients

Step-by-step explanation:

5.3 and 8.2 are coefficients since they are in front of an x and a y.

x and y are called variables.

any number on its own, ie without an x or y, is called a constant

Compute the quotient and remainder,

\(\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x+k} \\\\ = 2x^2 - 3x - (8+2k) + \dfrac{(21+7k)x+(6+8k+2k^2)}{x^2+2x+k}\)

The remainder upon dividing \(2x^4+x^3-14x^2+5x+6\) by \(x^2+2x+k\) should leave no remainder, which means

\(21+7k = 0 \implies 21 = -7k \implies k=-3\)

and

\(6+8k+2k^2 = 0 \implies 2(k+3)(k+1)=0 \implies k=-3\text{ or }k=-1\)

Only k = -3 makes both remainder terms vanish.

Then the previous result reduces to

\(\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x-3} = 2x^2 - 3x - 2\)

so that

\(2x^4+x^3-14x^2+5x+6 = (x^2+2x-3) (2x^2 - 3x - 2) \\\\ 2x^4+x^3-14x^2+5x+6 = (x+3)(x-1)(2x + 1)(x-2)\)

and so the zeroes of the quartic polynomial are x = -3, x = 1, x = -1/2, and x = 2.

Answer:

B. 0.8 meters

Step-by-step explanation:

Divide 2.4 by 3 and you will get 0.8

Answer:

11/8

Step-by-step explanation:

Answer:

11/8

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

So 5.5 to 5.62 is .12

Then calculate the difference of 5.5 *.12=0.66

Then do “0.66 is what percent of 5.5?”

The answer is 12%

Thank you for reading, and mark this brainliest

Percentage for lakeside is 38%

Percentage for Jungle is 26%

Percentage for Desert is 18%

Percentage for Coast is 12%

Percentage for Prairie is 6%

To determine the percentage, divide the given value by the total number and multiply by 100

Total  = 24000

Percentage for lakeside = \(\frac{9120}{24000}\) × 100

% of lakeside = \(0. 38\) × 100 = 38%

Percentage for Jungle = \(\frac{6240}{24000}\) × 100

% of Jungle = \(0. 26\) × 100 = 26%

Percentage for Desert = \(\frac{4320}{24000}\) × 100

% of Desert = \(0. 18\) × 100 = 18%

Percentage for Coast = \(\frac{2880}{24000}\) × 100

% of coast = \(0. 12\) × 100 = 12%

Percentage for Prairie = \(\frac{1440}{24000}\) × 100

% of Prairie = \(0. 06\) × 100 = 6%

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Answer

102.1

Step-by-step explanation:

area of the shaded region is the area of the the whole circle subtract area area of the unshaded minor segment.

The linear formulas with integer coefficients for width and height are (x - 1)(x+3)(x+4).

A algebraic, a set, or the multiplying coefficient of a specific term in an equation have all been examples of variables in mathematics. Usually numeric, but any phrase is acceptable. If the coefficients are variables, they can also be referred to as "parameters" by themselves. A coefficient is a number multiplied by a variable. Examples of coefficients include: In the expression 14c 14c 14c, the coefficient is 14. Word g has a coefficient of 1, which doubles the element by this figure. example The coefficient is 6 because "z" is a constant and the term is defined as is 6z. The square of x's coefficient is one.

given

by long division method

x³ - 9x² + 23x - 15 / (x - 1)

= x2 + 4x + 3

( x2 + 4x + 3 ) (x - 1)

= (x - 1)(x+3) (x+4)

The linear formulas with integer coefficients for width and height are (x - 1)(x+3)(x+4).

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The solution for R2 is:

R2 = (R1*R)/(R1+R)

We can begin by multiplying both sides of the equation by the product of R2 and R1 to eliminate the denominators:

1/R = 1/R1 + 1/R2

Multiplying both sides by R1*R2:

R1R2(1/R) = R1R2(1/R1) + R1R2(1/R2)

Simplifying:

R2 = (R1*R)/((R1+R))

Therefore, the solution for R2 is:

R2 = (R1*R)/(R1+R)

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Answer:

4.32 francs

Step-by-step explanation:

45p × £/(100p) × 9.6 francs / £ = 4.32 francs

The time rate of change of the rabbit population, denoted as dP/dt, is proportional to the square root of the population, √P. We can express this relationship mathematically as dP/dt = k√P, where k is the proportionality constant.

Given that the population at time t=0 is 100 rabbits and is increasing at a rate of 20 rabbits per month, we can use this information to determine the value of k. At t=0, P=100, and dP/dt = 20. Plugging these values into the differential equation, we have 20 = k√100, which gives us k = 2.

To find the population one and a half years (18 months) later, we can integrate the differential equation. ∫(1/√P) dP = ∫2 dt. Integrating both sides, we get 2√P = 2t + C, where C is the constant of integration.

At t=0, P=100, so we can solve for C: 2√100 = 2(0) + C, which gives us C = 20.

Plugging t=18 into the equation 2√P = 2t + C, we have 2√P = 2(18) + 20, which simplifies to √P = 38.

Squaring both sides, we get P = 38^2 = 1444.

Therefore, one and a half years later, the rabbit population will be 1444 rabbits.

Thus, the correct answer is d. 484 rabbits.

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Answer:

3 and 7

Step-by-step explanation:

Answer:

m = 12

Step-by-step explanation:

\(-\frac{m}{3} =-4\\\)

→ Multiply both sides by 3

\({-m} =-12\\\)

→ Multiply both sides by -1

m = 12

Answer: 5

Step-by-step explanation:

What is the value of x?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

x =

m

A scalene triangle U V W. Side U V is labeled as 19 meters. Side U W is labeled as x. Angle U is labeled as 81 degrees. Angle V is labeled as 30 degrees.

Answer: 10.2

I just took the test and this is the correct answer

If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

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By using unitary method, we found that the cost of 5m cloth is Rs. 1050.

According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,

Cost of 1m cloth = Total cost of 7m cloth/7

We know that the total cost of 7m cloth is Rs. 1470. Therefore,

Cost of 1m cloth = 1470/7

Cost of 1m cloth = Rs. 210

This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.

Cost of 5m cloth = Cost of 1m cloth x 5

Cost of 5m cloth = Rs. 210 x 5

Cost of 5m cloth = Rs. 1050

Therefore, the cost of 5m cloth is Rs. 1050.

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We are given the quantities :
+) The number of boxes of pencils
+) The number of her friends

She cannot hand out pencils in boxes to her friends, as she has less boxes of pencils than the number of her friends (assuming they cannot share boxes of pencils.)

Therefore, the quantity we need to know is : The number of pencils in each box of pencils.

The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m

where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925

And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075

Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.

This is option D.

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Answer: A equals -2

Step-by-step explanation:

First, start off by replacing x with -4.

Then add 4 to -4 and -8.

Afterwards, you should be left with 2A = -4. Then divide 2A and -4 by 2

Your answer should be “A = -2”

Hope this helps :)

Answer:

y = (-5/9)x + 30/9

Step-by-step explanation:

To rewrite the equation 5x + 9y = 30 in slope-intercept form, we need to isolate y on one side of the equation.

5x + 9y = 30

Subtract 5x from both sides of the equation to isolate 9y:

5x - 5x + 9y = -5x + 30

9y = -5x + 30

Divide both sides of the equation by 9 to solve for y:

9y/9 = (-5x + 30)/9

y = (-5/9)x + 30/9

Step-by-step explanation:

Given

f(x) = 10^x

Now

LHS

f(a + b + c)

= 10^ a + b + c

RHS

f(a) • f(b) • f(c)

= 10^a • 10^b • 10^ c

= 10 ^ a + b + c

Therefore LHS = RHS

Proved .

Hope it will help :)❤

Answer:

.

Step-by-step explanation:

The correct answer is 15.40

A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers.

Given that, a decimal number, 15.403

As we know, rounding a decimal number to two decimal places is the same as rounding it to the hundredths place, which is the second place to the right of the decimal point.

Therefore, Rounding to 2 decimal place, we get

15.40

Hence, The correct answer is 15.40

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Answer:

4.) 2 7/8 ÷ 2 3/5 =

1. Greater than 1

2. Greater than 1

3. Less than 1

4. Greater than 1

Step-by-step explanation:

I took the quiz

Answer:

x = 12

y = -23

Step-by-step explanation:

to solve for this i think we have to do:

   y = -3x + 13

   -

   y = -2x + 1

-----------------------

   0 = -x + 12

-x = -12

x = 12

then i think.... i think you have to substitute to one of the equations

y = -3(12) + 13

y = -36 + 13

y = -23

then to check we substitute  to the second equation

-23 = -2(12) + 1 ?

-23 = -24 + 1?

-23 = -23

The percentage of the original activity in the sample remains after 17.5 days is obtained as N(t) / No x 100%.

Half-life is the time required for a quantity to reduce to half of its initial value.

The original activity in the sample that remains after 17.5 days is calculated from half life equation as shown below;

N(t) = No(¹/₂)^t/h

where;

percentage of the original activity in the sample remains after 17.5 days;

= N(t) / No x 100%

Thus, the percentage of the original activity in the sample remains after 17.5 days is obtained as N(t) / No x 100%.

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The sets of vectors which are linearly independent from the given vectors are given by,

B. [ 4 -8 6 ], [ -9 -4 -3 ], [ 13 -4 9 ]

E. [ 9 3 0 ], [ -6 5 0 ], [ -2 -7 0 ]

To determine if a set of vectors is linearly independent,

If any vector in the set can be expressed as a linear combination of the other vectors in the set.

Let's analyze each set of vectors,

A. [ 1 -6 ], [ 9 1 ]

The second vector can be expressed as a linear combination of the first vector: 9 × [ 1 -6 ] = [ 9 -54 ].

Therefore, the vectors are linearly dependent.

B. [ 4 -8 6 ], [ -9 -4 -3 ], [ 13 -4 9 ]

There is no obvious linear relationship between these vectors.

To determine if they are linearly independent, we can set up a system of equations and solve for the coefficients.

a × [ 4 -8 6 ] + b × [ -9 -4 -3 ] + c × [ 13 -4 9 ] = [ 0 0 0 ]

Solving this system of equations,

Find that a = b = c = 0 is the only solution.

Therefore, the vectors are linearly independent.

C. [ 1 -6 ], [ 9 1 ]

This set of vectors is the same as set A, so the vectors are linearly dependent.

D. [ 0 0 ], [ 4 3 ]

The first vector is the zero vector, which is always linearly dependent. Therefore, the vectors are linearly dependent.

E. [ 9 3 0 ], [ -6 5 0 ], [ -2 -7 0 ]

There is no obvious linear relationship between these vectors. We can set up a system of equations and solve for the coefficients:

a × [ 9 3 0 ] + b × [ -6 5 0 ] + c× [ -2 -7 0 ] = [ 0 0 0 ]

Solving this system of equations,

find that a = b = c = 0 is the only solution.

Therefore, the vectors are linearly independent.

Therefore, based on the analysis the sets of vectors that are linearly independent are,

B. [ 4 -8 6 ], [ -9 -4 -3 ], [ 13 -4 9 ]

E. [ 9 3 0 ], [ -6 5 0 ], [ -2 -7 0 ]

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Answer:

13. PM=31 14. KN=34 15. OL=36.6 KP=46

Step-by-step explanation:

13. PM≅PN≅PO 14.KM≅KN

15.\(x^{2}+31^{2}=48^{2}\)

\(x^{2} +961=2304\\\)

subtract 961 from both sides

\(\sqrt{x^2} =\sqrt{1343}\\x=36.6\)

16. \(31^{2} +34^{2}=x^{2}\)

\(961+1156=x^{2}\)

add 961 and 1156 together

\(\sqrt{2117^2} }=\sqrt{x^{2} }\)\(x=46.0\)