There were 8 apples in the tree.
The wind blew some apples off
the tree. Now how many apples
are in the tree?

Answer:

I can help

Step-by-step explanation:

Answer:

factors

Step-by-step explanation:

To find the roots of a polynomial, it is often useful to find the Factors of the polynomial.

Answer:

7/9 * 27/5 = 189/45= (reduced) 4 1/5

7/4 *25/6 = 175/24 (reduced) = 7 7/24

Step-by-step explanation:

for the first turn 5 2/5 into improper fraction  5*5=25 + 2 = 27/5

multiply numerator 7*27= 189

9*5=45 189/45 can be reduced

divide both by 9 = 21/5 then make imxed number 4 and 1/5

Answer:

a) 21/5

b) 175/24

Step-by-step explanation:

a) 7/9 x 5 2/5 = 7/9 x 27/5

7/9 x 27/5 = 189/45 = 21/5 (if you wanted it shortened)

b) 1 3/4 x 4 1/6 = 7/4 x 25/6

7/4 x 25/6 = 175/24

Answer:

\( \frac{28}{45} \)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

The ratio is 2:5

Step-by-step explanation:

Question says figure B to A.

Answer:

5:2

Step-by-step explanation:

It is on the screen already

The table that shows the distribution of q to r illustrates a direct variation

The proportionality constant from q to r is 1/8

From the table, we have the following points

When q = 48, r = 6

The proportionality constant is then calculated as:

k = r/q

Substitute known values

k = 6/48

Divide

k = 1/8

Hence, the proportionality constant from q to r is 1/8

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Step-by-step explanation:

\( - 2x + 4y = - 4 \\ 2x + 8y = 16 \\ 2x = 16 - 8y \\ x = \frac{16 - 8y}{2} \\ x = 8 - 4y \\ - 2(8 - 4y) + 4y = - 4 \\ - 16 + 5y + 4y = - 4 \\ 9y = 12 \\\)

\( y = \frac{12}{9} = 1.33 \\ x = 8 - 4y \\ x = 8 - 4 \frac{12}{9} \\ x = 8 - \frac{48}{9} \\ x = 2.67 \\ \)

(2.67, 1.33)

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(x-2y=6\implies -2y=-x+6\implies y=\cfrac{-x+6}{-2} \\\\\\ y-\cfrac{-x}{-2}+\cfrac{6}{-2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}\)

so we're really looking for the equation of a line whose slope is -2 and that it passes through (-3 , -1)

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ - 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- 2}(x-\stackrel{x_1}{(-3)}) \implies y +1= -2 (x +3) \\\\\\ y+1=-2x-6\implies {\Large \begin{array}{llll} y=-2x-7 \end{array}}\)

Answer: CDB

Step-by-step explanation: Congruent angles are angles that are identical to each other. For a more in-depth explanation, Congruent angles are basically when two angles "have the same shape and size, or if one has the same shape and size as the mirror image of the other". Out of the choices given, CDB is the most identical to BAC. If you rotate CDB with your mind, you'll notice that you get BAC.

Answer:

b is the answer

Step-by-step explanation:

because I'm that bit still that bit will for ever be that bit

Answer is 5.54 miles. The decimal digit generally refers to the representation of a number in the decimal number system, often referred to simply as a decimal, or less precisely as a decimal.

How far should the visitor run to minimize the time it takes to reach the coral reef?

Assume she runs up to a point that is x miles to the east of the coral reef: distance running =6 -x miles.

distance swimming = root of x^2+5^2= root of x^2+25.

Times: time= distance / speed time running =6-x/8

time swimming =x^2+25/8 Total time

time running + time swimming:  

T=6-x/8+x^2+25/8

The accepted method of representing integers and non-integers is the decimal number system. It is an extension of the Indo-Arabic numeral system to non-integer values. Decimal notation is a term used to describe how numbers are represented in the decimal system.

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Answer is 5.54 miles. The decimal digit generally refers to the representation of a number in the decimal number system, often referred to simply as a decimal, or less precisely as a decimal.

Assume she runs up to a point that is x miles to the east of the coral reef: distance running =6 -x miles.

distance swimming = root of x²+5²= root of x²+25.

Times: time= distance / speed time running =6-x/8

time swimming =x²+25/8 Total time

time running + time swimming:  

T=6-x/8+x²+25/8

The accepted method of representing integers and non-integers is the decimal number system. It is an extension of the Indo-Arabic numeral system to non-integer values. Decimal notation is a term used to describe how numbers are represented in the decimal system.

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Answer:

try 0.5

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

\(1/2 = .5\\\\\\a^2 = .5^2 = .5 * .5\\ = 0.25\\\\b^6 = 2^6 = 2*2*2*2*2*2 \\=64\\\\\\0.25 * 64 = 16\)

The product rule for derivatives indicates that the value of the derivative of r(x), r'(x), where, r(x) = p(x) × q(x) is; r'(x) = -3·x

The product rule for derivatives states that the derivative of the product of two functions is the sum of the derivative of first function and the value of the second function, and the product of the derivative of the second function and value of the first function at the point.

The equations of the curves, y = p(x), and y = q(x),

r(x) = p(x) × q(x)

The product rule indicates that for the product of the function we get;

Where f(x) = g(x) × h(x), then f'(x) = g'(x) × h(x) + g(x) × h'(x)

The values on the graph indicates that we get;

p(2) = 3

p'(2) = y - 3 = ((5 - 1)/(3 - 1)) × (x - 2)

y = 2·(x - 2) + 3 = 2·x - 1

p'(2) = y = 2·x - 1

q(2) = -1

q'(2) = y - (-1) = ((0 - (-1))/(-1 - 2)) × (x - 2) = (-1/3)·(x - 2)

y = 2/3 - x/3 - 1 = -1/3 - x/3

q'(x) = y = -1/3 - x/3

r'(2) = (2·x - 1) × (-1) + 3 × (-1/3 - x/3) = -3·x

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Answer:

Jude is correct

Step-by-step explanation:

Our input value is given to us which is 4. Which means we would replace the x values in the function to 4 ==> f(4)= -2(4)^2 + 32 which simplifies to -2(16)+32 which then comes out as 0.

The number of solutions to a system of linear equations can be determined by solving the equations and checking for consistency. If the system is consistent, it has one unique solution. If the system is inconsistent, it has no solution. If the system is dependent, it has infinitely many solutions.

The number of solutions to a system of linear equations can be determined by solving the equations and checking for consistency. If the system is consistent, it has one unique solution. To check for consistency, the equations must be solved and the solutions compared. If all the solutions are the same, then the system is consistent and has one unique solution. If the solutions are different, then the system is inconsistent and has no solution. If all variables are linearly dependent, then the system is dependent and has infinitely many solutions. To determine if the variables are linearly dependent, one must check for a linear combination of the variables that yields the zero vector. If the linear combination exists, the system is dependent and has infinitely many solutions.

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Answer: 3:1

Step-by-step explanation:

Let the cost of a game ticket be g.

Let the cost of a ride ticket be r.

The information given can be formed into an equation which will be:

3g + 4r = 39

Since Five ride tickets cost $15, the cost of each ride ticket will be:

= $15/5

= $3.

Therefore, 3g + 4r = 39

We put the value of r = $3 into the equation

3g + 4(3) = 39

3g + 12 = 39

3g = 39 - 12

3g = 27

g = 27/3

g = 9

The cost of a game ticket is $9

The ratio of the cost of a game ticket to the cost of a ride ticket will be:

= 9/3

= 3/1

= 3:1

The ratio is 3:1

The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.

A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.

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Answer:

900 outfits

Step-by-step explanation:

You just have to multiply them all together :)

End points for the original figure is (0, 12) and (8, 12)

End points for the final figure is (0, 4) and (2, 4)

Given,

The figure

Scale factor = 1/4

We have to find the original end points.

And we have to do  a dilation with the given scale factor.

Then, determine the end points of the final figure also;

End  points of original figure =  (0, 12) and (8, 12)

Dilation with scale factor;

0 x 1/4 = 0

12 x 1/4 = 3

8 x 1/4 = 2

That is,

End points of final figure = (0, 4) and (2, 4)

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Danny used half a cup of flour, so Paul Bunyan would need  2 cups of flour for his foot-diameter griddle.

To determine the number of cups of flour Paul Bunyan would need for his circular griddle, we need to compare the surface areas of the two griddles.

We know that Danny Henry's griddle has a diameter of six inches, which means its radius is three inches (since the radius is half the diameter). Thus, the surface area of Danny's griddle can be calculated using the formula for the area of a circle: A = πr², where A represents the area and r represents the radius. In this case, A = π(3²) = 9π square inches.

Now, let's calculate the radius of Paul Bunyan's griddle. We're given that it has a diameter in feet, so if we convert the diameter to inches (since we're using inches as the unit for the smaller griddle), we can determine the radius. Since there are 12 inches in a foot, a foot-diameter griddle would have a radius of six inches.

Using the same formula, the surface area of Paul Bunyan's griddle is A = π(6²) = 36π square inches.

To find the ratio between the surface areas of the two griddles, we divide the surface area of Paul Bunyan's griddle by the surface area of Danny Henry's griddle: (36π square inches) / (9π square inches) = 4.

Since the amount of flour required is directly proportional to the surface area of the griddle, Paul Bunyan would need four times the amount of flour Danny Henry used.

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Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

The interval of times that represents the middle 99. 7% of his finishing

times in the 400 meter race = (57, 63)

We know that the empirical rule or 68-95-99.7 rule states that for a normal distribution, 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

Here, mean (μ) = 60 seconds, standard deviation (σ) = 1 second

To  determine the interval of times that represents the middle 99. 7% of his finishing times in the 400 meter race.

the 99.7% are within three standard deviations would be,

μ ± 3σ

= (60 - 3(1), 60 + 3(1))

= (57, 63)

The required interval is:  (57, 63)

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Answer: 0.533

Step-by-step explanation:

You could use a calculator.

8÷15=0.533333333...

Answer:

0.533

Step-by-step explanation:

The full answer is 0.5333333333

But since you only need it rounded to the third decimal place, it can be rounded to 0.533

(3 is less than 5, so 3 does not need to be rounded to 4)

Answer:

I think the answer is 40.

Step-by-step explanation:

Since the length is three times its width, the width is 5 and the length is 15, since you find the area by doing length * width you get 75. You get perimeter by adding all the sides which is, 5+5+15+15= 40.  

Answer:

21.4% of 855=182.97

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 855 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 855 is 100%, so we can write it down as 855=100%.

4. We know, that x is 21.4% of the output value, so we can write it down as x=21.4%.

5. Now we have two simple equations:

1) 855=100%

2) x=21.4%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

855/x=100%/21.4%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 21.4% of 855

855/x=100/21.4

(855/x)*x=(100/21.4)*x       - we multiply both sides of the equation by x

855=4.67289719626*x       - we divide both sides of the equation by (4.67289719626) to get x

855/4.67289719626=x

182.97=x

x=182.97

now we have:

21.4% of 855=182.97

Hope this helped :)

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9/10 mile = 5 min

9/10 ÷ 5 mile = 1 min

9/10 × 1/5 mile = 1 min

9/50 mile = 1 min

The time it takes for a man to get Rs 50,000 is 5 years and 4 months i.e., t = 5.36 years. Using the compound interest formula the required value is calculated.

The formula for calculating the compound interest is

A = P(1 + r)^t

Where

A = total amount at the end of the tenure

P = Initial amount

r = Interest rate

t = time(years)

It is given that,

A man invested Rs 30,000; the rate of interest r = 10% and he gets a total amount of Rs 50,000 after some time 't'.

Then,

A = P(1 + r)^t

⇒ 50000 = 30000(1 + 0.1)^t

⇒ (1.1)^t = 50000/30000

⇒ (1.1)^t = 5/3 =1.67

Applying logarithm on both sides,

log(1.1)^t = log(1.67)

⇒ t (log(1.1) = log(1.67)

⇒ t = log(1.67)/log(1.1)

∴  t = 5.38 years

Therefore, it takes 5 years and 4 months to get the amount of Rs 50,000 for the initial investment of Rs 30,000.

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Answer:

25

Step-by-step explanation:

Cross multiply

23/x=92/100

x=25

There were approximately 25 questions on the test.

To determine the number of questions on the test, we can set up a proportion based on Charles' correct answers and the grade received.

Let x be the total number of questions on the test.

We can set up the proportion:

23 (Charles' correct answers) / x (total number of questions) = 92% (grade as a decimal: 0.92)

This can be written as:

23 / x = 0.92

To solve for x, we can multiply both sides of the equation by x:

23 = 0.92 * x

Dividing both sides by 0.92:

23 / 0.92 = x

x ≈ 25

Therefore, there were approximately 25 questions on the test.

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