How is the sentence "10 more than p is -3" written as an equation
p-3 = 10
p+10=-3
p+10=3
p 10-3

The operation that will result in a trinomial for the given expression is subtraction operator ( - ).

A trinomial is an algebraic expression that has three terms. It is also a polynomial consisting of three terms or monomials.

The given polynomial expression;

( 4x⁵ - 8x ) ?  (3x² - 8x + 9 )

To simplify the given polynomial expression into trinomial, we will use the following operation.

The chosen operation will be such that, we will have only three terms left after simplification.

So we will choose subtraction operator "-"

( 4x⁵ - 8x ) -  (3x² - 8x + 9 )

= 4x⁵ - 8x  - 3x² + 8x - 9

simplify further; (-8x and +8x will cancel out)

= 4x⁵ - 3x² - 9

Finally, we have our desired trinomial as 4x⁵ - 3x² - 9.

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Answer:

x = 7, y = 2

Explanation:

equations given:

x + 7y = 21

x + 4y = 15

make "x" the subject:

x + 7y = 21

x = 21 - 7y .........equation 1

x + 4y = 15

x = 15 - 4y .......equation 2

Solving both the equations simultaneously:

15 - 4y = 21 - 7y

-4y + 7y = 21 - 15

3y = 6

y = 6 ÷ 3

y = 2

If y is 2

Then x = 21 -7y;

x = 21 - 7(2)

x = 21 - 14

x = 7

x + 7y= 21

7 goes to RHS = X+ y = 21/7-3

x + 4y = 15

4 goes to RHS= x+y = 15/4 = 3.75

A .The canoe left the campsite did the motorboat catch up with it 3 hrs and 40 minutes

B . The motorboat travel at 1 hr 40 minutes

A group of campers and one group leader left a campsite in a canoe.

They traveled at an average rate of 10 km/h.

1st Group DATA:

rate = 10 km/h ; distance = x km ; time = d/r = x/10 hrs

Two hours later, the other group leader left the campsite in a motorboat.

He traveled at an average rate of 22 km/h.

Group Leader DATA:

rate = 22 km/h ; distance = x km ; time = d/r = x/22 hrs

A. How long after the canoe left the campsite did the motorboat catch up with it?

Group time - Leader time = 2 hr

x/10 - x/22 = 2

Multiply thru by 110 to get:

11x - 5x = 220

6x = 220

x = 110/3 = km

canoe total time = x/10 = (110/3)/(10) = 11/3 = 3 hrs and 40 minutes

B. How long did the motorboat travel?

motorboat time = x/22 = (110/3)/22 = 1 hr 40 minutes

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Answer:

here

Step-by-step explanation:

Answer:

Explanation:

-5 -4 -3 -2 -1 0 1 2 3 4 5

Answer:

the pay one

Step-by-step explanation:

i thinks sorry if i get it wrong

Answer: 3x-184

Step-by-step explanation:

first you subtract 24x-21x then you multply 64*2 then add 56 to the answer 0f 64*2

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer:

1.89

Step-by-step explanation:

The approximate half life of the substance is 1.90 hours.

Half life of any quantity implies the time at which its value becomes half of the initial value. To calculate it consider an exponentially decaying function which has a decay factor that is the rate of decaying. Then, the half life is calulted as the ratio of ㏒(2) to the decay factor.

Given that,

The initial amount of  radioactive substance is 15 grams.

And, after 3 hours the final amount is 5 grams.

The given problem can be written in the form of exponential decay as,

N = N₀e^(-at)

Where N₀ and N are the initial and final values and a is the decay constant.

Substitute the corresponding values in the above equation to get,

5 = 15e^(-3a)

=> e^(-3a) = 1/3

=> 3a = ln(3)

=> a = ln(3)/3

       = 0.366

Since, the half life is evaluated as 0.693/a.

The half life for the given case is 0.693/0.366 = 1.90

Hence, the half life of the given radioactive substance is 1.90 hours.

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Answer:

75 : 225

Step-by-step explanation:

\(\frac{\frac{1}{4} }{\frac{3}{4} } :\frac{75}{y}\)

0.25 × y = 0.75 × 75

0.25y = 56.25

0.25y ÷ 0.25 = 56.25 ÷ 0.25

y = 225

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.

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Answer:

2m + 5s = 15

I hope it helps.

have a great day.

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, we only have to sum all 6 triangles and the base area :

6 × 6×8/2 + 93.5 = 36×4 + 93.5 = 144 + 93.5 =

= 237.5 in²

324309

doctors were registered that year.

Explanation:

The questions says, "18.1% of all registered doctors are females"

(Consider, total number of registered doctors as

x

)

that's,

18.1

%

of

x

are female.

and

18.1

%

of

x

is

58

,

700

.

Mathematically,

18.1

100

⋅

x

=

58700

x

=

58700

⋅

100

18.1

x

=

324309

doctors were registered that year.

9514 1404 393

Answer:

  -1

Step-by-step explanation:

The slope formula works nicely for this.

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -4)/(4 -(-1)) = -5/5 = -1

The slope of the line between the given points is -1.

Answer:

53

Step-by-step explanation:

substitute values in

2(4) + 3(3) + 6(6) = 8 + 9 + 36 which then equals 53

The answer you are looking for is 53.

Solution/Explanation:

Writing out the expression first

2x+3y+6z

Substituting the given values of the variables

x=4

y=3

z=6

2(4)+3(3)+6(6)

2(4)=8

3(3)=9

6(6)=36

You will come up with 8+9+36.

From this, you will get 53.

So, therefore, the final answer to this problem is 53.

Hope this helped answer your question for you. Good day to you.

The given expression is factored as \(4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

Given expression: \(28v^{7}x^{3}y^{6}-12v^{9} x^{9}\)

In order to factorize the given expression, take out the common terms and then simplify further.

\(28v^{7}x^{3}y^{6}-12v^{9} x^{9}=4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftover.

A number can have either positive or negative factors.

A number has a finite number of factors.

A number's factor will never be more than or equal to the provided number.

Every number contains at least two factors, 1 and the actual number, with the exception of 0 and 1.

Finding a number's factors involves using the division and multiplication operations.

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Answer:

  X+2Y = 8

-2X-3Y = -7

(X-2X+2Y-3Y)=8-7

-X-Y=1

The ratios will be equal if the theorem that the product of the extremes equals the product means follows.

Let us understand the equality of ratios through example. The example ratio will be -

7:10 = 21:30

In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.

Product of extremes = 7 × 30

Extremes product = 210

Product of means = 21 × 10

Means product = 210

Since the products are equal, the ratios are also equal.

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The complete question is -

Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.

Ratio = 7:10 and 21:30.

Answer:

The said friend's grade in Professor Ivy's class is 85.7.

Step-by-step explanation:

Assuming the question asks for your friend's grade in Professor Ivy's class.

0.05(95) + 0.25(89) + 0.25(80) + 0.45(86) = 85.7

The term which defines how far a function rises or fall relative to its midline is; The Amplitude.

In some functions such as trigonometric functions in which case, the graph oscillates and hence, rises above or below a midline, the distance above or below the midline of such functions is described by the term amplitude.

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Answer:

2 2/3

Step-by-step explanation:

First let us add the whole number. Doubling is adding the same number itself or doing *2. 1 + 1, or 1 * 2 = 2. Now let us do the same thing to the fraction. 1/3 + 1/3, or 1/3 * 2 = 2/3. Now, let us put the whole number and fraction together. 2 + 2/3 = 2 2/3. Therefore, the answer is 2 2/3.

Hope this helps! :D

Answer:

B

Step-by-step explanation:

Let the width be x, and the length be y

xy = 50

y = 2x

2x^2 = 50

x^2 = 25

x = 5

y = 10

3*8 = 24

Answer:

B

Step-by-step explanation:

Let the width be x, and the length be y

xy = 50

y = 2x

2x^2 = 50

x^2 = 25

x = 5

y = 10

3*8 = 24

Answer:

k = 8

Step-by-step explanation:

You are given 6k - 25 = 7 - 2k

First, you add positive 2k to both sides.

4k - 25 = 7

Then, add 25 to both sides.

4k = 32

Finally, divide both sides by 4. This will isolate the variable k.

\(\frac{4k}{4} = \frac{32}{4}\)

1k = 8

We know that any number times one is itself, so 1k is equal to the variable k. We can now remove the variable, because it is redundant.

k = 8

This means for every single one of k, you have 8.

Answer:

(0,0) and (4,0)

Step-by-step explanation:

X-intercepts are the points on a graph where the line intersects the x-axis.

Answer:Y=0

Step-by-step explanation:

We can conclude that there is a significant difference between the means.

To determine whether the mean number of hours per week spent on the internet increased between the two years, we can perform a two-sample t-test. The two-sample t-test is used to determine whether there is a significant difference between the means of two independent samples.

To perform the two-sample t-test, we need to first calculate the t-statistic. The t-statistic is calculated as follows:

t = (mean1 - mean2) / (sqrt(s1^2/n1 + s2^2/n2))

Where mean1 and mean2 are the means of the two samples, s1 and s2 are the standard deviations of the two samples, and n1 and n2 are the sample sizes.

Next, we need to find the degrees of freedom, which is calculated as follows:

df = (s1^2/n1 + s2^2/n2)^2 / ( (s1^2/n1)^2/(n1-1) + (s2^2/n2)^2/(n2-1) )

Once we have the t-statistic and the degrees of freedom, we can look up the p-value in a t-table. The p-value is the probability of observing a difference between the means as large as the one observed, given that the null hypothesis is true. If the p-value is below the significance level (usually 0.05), we can reject the null hypothesis and conclude that there is a significant difference between the means.

Alternatively, you can use a statistical software package or online calculator to perform the two-sample t-test and obtain the p-value automatically.

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The loan that will offer Craig the best effective interest rate is a) Loan L with a real percentage rate of 8.6%.

An effective interest rate is the real percentage rate on an interest-paying investment which removes the effects of compounding over time.

The formula for computing the effective interest rate is as follows:

Effective Interest Rate, r = (1 + i/n)^n - 1.

              Nominal Interest Rates    Compounding Periods

Loan L                   8.25%                    365 days

Loan M                  8.47%                    52 weeks

Loan N                  8.533%                  12 months

Loan O                  8.604%                 Yearly

Loan L = (1 + 0.0825/365)^365 - 1

= 1.08598 - 1

= 0.086

= 8.6%

Loan M = (1 + 0.0847/52)^52 - 1

= 1.0883 - 1

= 0.0883

= 8.83%

Loan N = (1 + 0.08533/12)^12 - 1

= 1.0887 - 1

= 0.0887

= 8.87%

Loan O = (1 + 0.08604/1)^1 - 1

= 1.08604 - 1

= 0.08604

= 8.604%

Thus, we advise Craig to take Loan L because it offers the least-costly effective interest rate.

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