50 apples cost $25. How much would 75 apples cost?

Answer:

Step-by-step explanation:

A linear function is represented by the following function in slope-intercept form:

Therefore, to reorganize in slope-intercept form the given equation, isolate y using inverse operations to solve equations;

Answer:

-2x² - 10xy + 2y²

Step-by-step explanation:

4x² - 9xy - 4y² - 6x² - xy + 6y² =

= 4x² - 6x² - 9xy - xy - 4y² + 6y²

= -2x² - 10xy + 2y²

The amount of vegetables that your friend cooks each day is the constant of the proportional relationship.

The equation that defines a direct proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

For this problem, the relationship for the amount of vegetables is given as follows:

Vegetables = Constant x Days.

Hence the daily amount of vegetables is given as follows:

Constant = Vegatables/Days.

The problem is incomplete, hence the general procedure to obtain the amount of vegetables that your friend cooks each day is presented.

More can be learned about proportional relationships at https://brainly.com/question/7723640

#SPJ1

Answer:

Step-by-step explanation:

cos(225)*sin(315) + sin(-270)*tan(405)

=cos(360-135)*sin(360-45) + (-sin(360-90)*tan(180*3-135)

=cos135*(-sin45) + (-(-sin90)*(-cot135)

=-1/\(\sqrt{2}\) *(-1/\(\sqrt{2}\)) + (-(-1)*(-(1)

=1/2+1

=1+2/3

=3/3

=1

Answer:

For example, suppose we weigh five children. ... 5. ∑ i=1 xi. = x1 + x2 + x3 + x4 + x5. = 10 + 12 + 14 + 8 + 11. = 55. ... We also use sigma notation in the following way: 4 ... j2 = 12 + 22 + 32 + 42 = 30.

Missing: 17 ‎| Must include: 17Summary measures for this data set are ... 17 18. 19 20. Observedresult. 0. 1. 0. 1. 1. 0. 1. 0. 1. 1. Total so far. 4. 5. 5. 6 ... 5. 10. 15. 20. 25. 30. 35. 40 . Toss. Figure S2.1 Proportion P, 40 tosses of a coin.

Series is defined as sum of sequences. The sum of the sequence given is 96

Series is defined as sum of sequences

Given the sequence below

19,30,20,10,17

The given su notation denotes the sum of the first five terms of the sequence.

Take the sum

Sum = 19+30+20+10+17

Sum = 96

Hence the sum of the sequence given is 96

Learn more on series here; https://brainly.com/question/723406

#SPJ6

Answer:

Probability that it'll not rain during the next three days = 0.064

Step-by-step explanation:

Given

Let:

P(R) represent the probability that it'll rain each day

P(R') represent the probability that it'll not

\(P(R) = 60\%\)

Required

Probability that it'll not rain during the next three days

From concept of probability;

\(P(R) + P(R') = 1\)

Substitute 60% for P(R)

\(60\% + P(R') = 1\)

Subtract 60% from both sides

\(60\% - 60\% + P(R') = 1 - 60\%\)

\(P(R') = 1 - 60\%\)

Convert % to decimal

\(P(R') = 1 - 0.6\)

\(P(R') = 0.4\)

The probability that it'll not rain during the next 3 days is:

\(P(R') * P(R') * P(R')\)

\(P(R') * P(R') * P(R') =0.4 * 0.4 * 0.4\)

\(P(R') * P(R') * P(R') = 0.064\)

Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.

The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

For similar question on polynomial function.  

https://brainly.com/question/31528136

#SPJ8

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

Read more about Trigonometric Identities at; https://brainly.com/question/7331447

#SPJ1

Answer:im stumped too

Step-by-step explanation:

There are several ways to prove a mathematical statement. These ways include: by contradiction, by induction, contraposition, etc

To prove the statement, we make use of proof by contradiction

From the question:

x is a composite number such that: x > 1

This means that 1 < a < x is a factor of x

This can be represented as:

\(x = a * b\)

Where:

Assume that b is less than or equal to a.

Also, let

\(b > \sqrt x\)​

This means that:

\(\sqrt x < b \ge a\)

The above becomes

\(\sqrt x < a\)

Rewrite as:

\(a > \sqrt x\)

So, we have:

\(x = a * b > \sqrt x * \sqrt x = x\)

The above means that:

\(x > x\)

The above inequality is a contradiction because, a number x cannot be greater than itself

This means that, the supposition is wrong.

Hence, the given statement has been proved by contradiction

Read more about proof by contradiction at:

https://brainly.com/question/8062770

The pair of words that describe the given system of equations is: consistent and dependent.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.

It demonstrates the equality of the relationship between the expressions written on the left and the right.

Given equations:

3y=9x-6

2y-6x=4

The first equation can be simplified and written as: y=3x-2

Similarly, the second equation can be written as: y-3x=2

It can be seen that the two equations are the same. Thus, the given system of equations is consistent and dependent.

Learn more about equations here:

https://brainly.com/question/2972832

#SPJ1

The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

Read more on inequality here: https://brainly.com/question/30665021

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

{-5, -1, 2}

Step-by-step explanation:

domain is the inputs or x numbers

Answer:

2 1/8 mph.

Step-by-step explanation:

Distance= time x speed

Same way, Distance divided by time=speed.

In this situation, just divide 5 2/3 by 2 2/3.

Hope this helps!

Answer:

q=1

Step-by-step explanation:

2(q+4)=10

q+4=5

q=1

:]

Answer:

3

Step-by-step explanation:

2 x 3 6 4 10

Answer:

16/40

Step-by-step explanation:

The example probability is literally the probability determined FROM EXPERIMENTATION.

Since the "experiment" gave 16 successes out of 40 trials (16 heads + 24 tails), the E.P. is 16/40

the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

For more question triangle

https://brainly.com/question/29135702

#SPJ8

Answer:

Step-by-step explanation:

it is 1.8

Answer:

The average rate of change

\(\frac{dh}{d t} = 70 (1) - 16(2t)\)

At   t = 1

\(\frac{dh}{d t} = 70 (1) - 16(2t) = 38\)

at t=3



Step-by-step explanation:

Step(I):-

The given function  h(t) = 3+70t - 16t²

                          \(\frac{dh}{d t} = 70 (1) - 16(2t)\)

The       \(\frac{dh}{d t} = 70 (1) - 16(2t) =0\)

           70 - 32 t = 0

     ⇒   70 = 32 t

   ⇒     \(t = \frac{70}{32} = \frac{35}{16}\)

Step(ii):-

The average rate of change in h(t) between t = 1 second and t = 3 second

\(\frac{dh}{d t} = 70 (1) - 16(2t)\)

At   t = 1

\(\frac{dh}{d t} = 70 (1) - 16(2t) = 38\)

At t = 3



Answer:

28 Inches

Step-by-step explanation:

10 ft x 12 = 120 inches

120/2 is 60 inches to the center of the wall

28+28+8 = 64 in   measure of the frames and the space between them

64 / 2 = 32 in measure from center of both paintings and the 8 in requirement

60 in - 32 in = 28 in is the measurement from the wall to the outer diameter of the paintings

Answer:

Should be (C). Can't verify.

545

ED2021

Resolving the expression into a system of linear equations, the value of x and y are 5 and 15 respectively

Expanding the given equation, we get:

\((3x - y)^2 + (x - 5)^2 = 0\\9x^2 - 6xy + y^2 + x^2 - 10x + 25 = 0\\10x^2 - 6xy + y^2 - 10x + 25 = 0\)

To solve for x and y, we need another equation that relates them. However, since the given equation has no real solutions (as the sum of two squares cannot be zero unless both squares are zero), we can conclude that there are no real values of x and y that satisfy the equation.

Alternatively, we could write the given equation as:

(3x - y)² = (5 - x)²

Taking the square root of both sides, we get:

3x - y = ±(5 - x)

Now we have two equations:

3x - y = 5 - x ...eq(i)

3x - y = x - 5 ...eq(ii)

solving for both x and y in the system of linear equations

x = 5 and y = 15

Therefore, the solution to the given equation is:

x = 5, y = 15

Learn more on system of linear equations here;

https://brainly.com/question/13729904

#SPJ1

The needed number of days at 10 degrees is given as follows:

11 days.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:

m = -2/5

m = -0.4.

Hence the time needed for a temperature of 10 degrees is given as follows:

9 + 2 = 11 days.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

3.8 x\(10^3\) is 169 times smaller than 6.422x \(10^5\).

The number is written in the form  \(a \times 10^b\) where we have  \(1 \leq\) a < 10. Scientific notations have some of the profits as:

Better readability due to compact representation Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

We need to find out how many times 3.8 x 10^5 is greater than 3.8 x 10^-7.

To do that, we have to divide 3.8 x 10^5 by 3.8 x 10^-7 and then find the answer.

Let us do that:

\(\begin{gathered} \frac{3.8\cdot10^3}{6.422\cdot10^{5}}\text{ = }\frac{3.8}{6.422}\cdot\text{ }\frac{10^3}{10^{5}} \end{gathered}\)

= 169

According to the division law of indices states that if a numerator and a denominator have the same base (e.g. 10), then the power of the numerator can subtract of the denominator.

Therefore, 3.8 x\(10^3\) is 169 times smaller than 6.422x \(10^5\).

Learn more about scientific notation here:

https://brainly.com/question/3112062

#SPJ1

24 i think

an LCM is the lowest number that applies to all numbers in your equation