plz help i don’t understand this type of math

Answer:

3ft and 24 ft.

Step-by-step explanation:

The longer piece is 8 times as long as shorter piece

therefore,

Total length of the wooden board = 27 ft.

27 = longer length + shorter length

27 = x + 8x

27 = 9x

dividing both sided by 9

3 = x

since x was the length of the shorter piece

shorter piece is 3 ft. long

and the longer piece was equal to 8x

longer piece is 24 ft. long

For the square on the diagram, we can see that:

Remember that all the sides of a square have the same length.

Here we know that AC, the diagonal of the square, has a measure of 20 cm.

Then the length of DE, which is half of the diagonal of the square, is half of that, then:

20cm/2 = 10cm

DE = 10cm

DC is one of the sides of the square. Remember that for a square of sidelength S, the diagonal is:

D = √2*S

Then the sidelength is:

S = D/√2

Here we know that the diagonal measures 20 cm, then:

DC = S = 20cm/√2 = 14.14 cm

DC = 14.14cm

Finally, mADE refers to the measure located at the vertex D on the triangle on the angle ADE.

Remember that all the angles of a square measure 90°, and here the ray DE divides that angle in two halves, then mADE = 90°/2 = 45°

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The smallest value of |S| that guarantees the existence of two distinct subsets of S whose elements sum to the same value is 289.

Let S be a set of 1-digit or 2-digit numbers. We want to find the smallest value of |S|, the cardinality of S, such that there exist two distinct subsets of S whose elements sum to the same value.

Consider the largest possible sum of two elements in S. If the largest possible sum is less than or equal to 100, then every subset of S must have a sum less than or equal to 200, since at most two elements can be selected from S to form a sum greater than 100. Therefore, if |S| > 200, then by the Pigeonhole Principle, there must be two distinct subsets of S whose elements sum to the same value.

On the other hand, if the largest possible sum of two elements in S is greater than 100, then we can consider the set S' obtained by removing all elements of S greater than 100. Since S' consists of only 1-digit and 2-digit numbers, the largest possible sum of two elements in S' is 99 + 99 = 198. Therefore, if |S'| > 198, then by the Pigeonhole Principle, there must be two distinct subsets of S' whose elements sum to the same value.

But note that |S'| is at most the number of 1-digit and 2-digit numbers, which is 90 (10 1-digit numbers and 90 2-digit numbers). Therefore, if |S| > 90 + 198 = 288, then by the Pigeonhole Principle, there must be two distinct subsets of S whose elements sum to the same value.

Thus, the smallest value of |S| that guarantees the existence of two distinct subsets of S whose elements sum to the same value is 289.

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Answer:

if it doesn't give u a number then u can't explain or estimate it because there is not enough info.

Step-by-step explanation:

Though if there is a number then just multiple that by 4 and ya get your answer.

Answer:

Step-by-step explanation:

I think 17.5

Answer:

Step-by-step explanation:

We know that:

Work:

        6D + 4C = 76

        7(6D + 4C = 76)

        42D + 28C = 532

Now, let's substitute the value of D into the first equation.

Hence, the cost of 1 dozen doughnut is $6 and the cost of a dozen croissant is $10.

Hoped this helped.

\(BrainiacUser1357\)

The functions that are exponential are f(x) = 4(1/4)ˣ , g(x) = 14(4)ˣ and k(x) = 6(5.49)ˣ , the options that are correct are (a) , (b) and (e) .

In the question ,

five function are given ,

we need to select the functions that are exponential ,

We know that , Exponential function is a function whose value is a constant raised to power of a variable ,

For Example , f(x) = cˣ, where c is any constant value and x is a variable.

Part(a) ,

f(x) = 4(1/4)ˣ

Since , x is in the exponent , hence it is an exponential function .

Part(b) ,

g(x) = 14(4)ˣ

Since , x is in the exponent , hence it is an exponential function .

Part(c) ,

h(x) = 10x⁵

Since , x is present in the base , hence , it is not an exponential function .

Part(d) ,

j(x) = −9x⁴

Since , x is present in the base , hence ,it is not an exponential function .

Part(e) ,

k(x) = 6(5.49)ˣ

Since , x is in the exponent , hence it is an exponential function .

Therefore , The exponential functions are (a) f(x) = 4(1/4)ˣ  , (b) g(x) = 14(4)ˣ   and  (e) k(x) = 6(5.49)ˣ  .

The given question is incomplete , the complete question is

which of the following are exponential functions? select all correct answers.

(a) f(x) = 4(1/4)ˣ

(b) g(x) = 14(4)ˣ

(c) h(x) = 10x⁵

(d) j(x) = −9x⁴

(e) k(x) = 6(5.49)ˣ

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For the given information, the value of the test statistic is -1.724 and its associated p-value is 0.0426.

In order to calculate the p value of students with GPA of 3.00 or below, the standard score (z -score or test statistic) must be determined first. In statistics, the standard score refers to the number of standard deviations by which the scores differs from the mean value of the observed or measured data. Scores above the mean have positive standard scores, while those below the mean have negative standard scores.

In a sample of 190 graduates, 28 students have a GPA of 3.00 or below, x = 28/190 = 0.15

The standard deviation = √(p(1 – p)/n) = √(0.2(1-0.2)/190) = 0.029 (where p is the probability of success and n is the total number of data)

The z-score = (x - µ)/σ = (0.15 – 0.2)/0.029 = - 1.724

From the table,

The P (z < -1.724) = 0.0426 or 4.26%.

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Answer:

Step-by-step explanation:

Using exponential function concepts, it is found that:

The model is: .

The car will be worth $13,625 in 7 years.

The value of y obtained after solving the given equation will be equal to 11/3 or 3 2/3.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

3/4y + 1/2 = 3 1/4

Firstly, write the equation in a simplified way,

3/4y + 1/2 = 13/4

3/4y = 13/4 - 1/2

3/4y = (13 - 2)/4

3/4y = 11/4

Now, solve the equation for y,

y = (11 × 4)/(4 × 3)

y = 11/3

In mixed fraction form, it can be written as 3 2/3.

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The correct answer is

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

Given that,

Regarding the subsequent 3 inquiries: A study collected information on how much time 28 randomly chosen high school students and 31 randomly chosen college students spent each day on their cellphones. The researcher is interested in learning whether there is proof that students use their phones for varying amounts of time in high school and college.

Because the samples of college and high school students are independent, the independent samples t-test should be utilized.

The study's research (Claim) aims to ascertain whether students' cell phone usage patterns alter between high school and college.

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

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The proper null and alternative hypotheses are

\(H_{0}\) : μh = μc

\(H_{A}\) : μh - μc

The study's research wants to ascertain whether difference between the time spent by high school students and college students.

The actual test begins by considering two hypothesis i.e. null hypothesis and alternative hypothesis.

Let, H= time spent on the phone by high school students;

C= Time spent on the phone by college students; and

d=H−C

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

\(H_{0} :\) μh = μc  (time spent by high school students is equal to college students)

\(H_{A} :\) μh - μc  (difference between the time spent by high school students and college students)

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Answer:

177.7

Step-by-step explanation:

not good with steps

A story that can be represented using the equation y=x+1/5x is "John has an apple and he cut another apple into 5 equal parts and took on part. What's the rural fraction of apple that he has?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, if John has an apple and he cut another apple into 5 equal parts and took on part.

This can be illustrated as:

y = x + 1/5x

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Answer:

uh what are we suppose to do with the number

Step-by-step explanation:

what are we suppose to do with the numbersm

Answer:

c

Step-by-step explanation:

Answer:

Translation

Step-by-step explanation:

Answer:

1st choice

Step-by-step explanation:

(r² -4r + 5 - r² -2r + 8) / (r - 4)

= (-6r + 13) / (r - 4)

The area of the triangle is 19.5 square units.

To find the area of the triangle, we can use the formula:

Area = (1/2) * base * height

where the base and height are the distance between two of the vertices of the triangle. We can choose any two vertices to use as the base and height, as long as we use the same units for both. Let's choose (-3,2) and (6,-2) as our base.

The distance between (-3,2) and (6,-2) can be found using the distance formula:

d = \(\sqrt((6 - (-3))^2 + (-2 - 2)^2)\)
d = \(\sqrt(81 + 16)\)
d = \(\sqrt(97)\)

Now we need to find the height of the triangle. The height is the perpendicular distance from the third vertex (3,5) to the line containing the base (-3,2) and (6,-2). We can use the formula:

height = \(|Ax + By + C| / \sqrt(A^2 + B^2)\)

where A, B, and C are the coefficients of the line in the standard form Ax + By + C = 0, and x and y are the coordinates of the third vertex. We can find the coefficients of the line by using the two points (-3,2) and (6,-2):

A = 2 - (-2) = 4
B = (-3) - 6 = -9
C = 6*(-2) - (-3)*2 = -18

Now we can plug in the values to find the height:

height = \(|4*3 - 9*5 - 18| / \sqrt(4^2 + (-9)^2)\)
height = \(39 / \sqrt(97)\)

Finally, we can plug in the base and height to find the area:

Area = \((1/2) * \sqrt(97) * (39 / \sqrt(97))\)
Area = 19.5

Therefore, the area of the triangle is 19.5 square units.

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Answer:

15

Sorry if I'm wrong but i do hope this helps.

Equation of line B is y=7/2x

A line is simply an object in geometry that is characterized under zero width object that extends on both sides. A straight line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line.

Straight line formulas= y=mx+ c

                                                  = y-y1=m(x-x1)

              slope, m= (y1-y2)/(x1-x2)

given that, B passes through P and parallel to A

so one of the points on the line  is P(2,7)

and one more point is O(0,0) if we extend line B parallelly to A

So we can conclude that B passes through O and P

we know equation of straight line is y-y1=m(x-x1)

on solving we get equation of line B is, y=7/2x

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Answer:

Line B's equation is y=7/2x.

Step-by-step explanation:

An object in geometry known as a line is simply one that extends on all sides and has zero width. Simply put, a straight line is a line devoid of curves. A straight line is one that does not curve and extends to infinity on both sides.

Straight line formulas= y=mx+ c

                                                 = y-y1=m(x-x1)

             slope, m= (y1-y2)/(x1-x2)

given that, B passes through P and parallel to A

so one of the points on the line  is P(2,7)

Moreover, if we stretch line B parallel to A, the final position is O(0,0).

Therefore, we can say that B goes through O and P.

Y-y1=m is the straight line's known equation (x-x1)

After solving, we obtain the equation y=7/2x for line B.

Answer:

yes

Step-by-step explanation:

Answer:

\(Here,length=36 \: cm\)

\(breadth=24 \: cm\)

\(Perimeter=?\)

\(We \: know,\)

\(Perimeter=2(l+b)\)

\( = 2 \times 60\)

\( = 120.\)

Answer:

Perimeter=120 cm

Step-by-step explanation:

length=36cm

breadth=24cm

Perimeter=2(length+breadth)

Substitiute values in fomula above:

Perimeter=2(36+24)cm

Perimeter=2(60) cm

Perimeter=120 cm

A)  The given function does not satisfy either of these conditions, so it is neither even nor odd.

B) the Fourier series for f(t) is simply f(t)= π.

(a) To sketch the graph of the function f(t) for −3π ≤ t ≤ 3π, we can break it down into the two intervals mentioned in the definition:

For −π ≤ t < 0, f(t) = −2t − π. This is a linear function with a negative slope, passing through the points (−π, π) and (0, −π). The graph is a straight line descending from the point (−π, π) to (0, −π) in the interval −π ≤ t < 0.

For 0 ≤ t < π, f(t) = 2t − π. This is also a linear function with a positive slope, passing through the points (0, −π) and (π, π). The graph is a straight line ascending from the point (0, −π) to (π, π) in the interval 0 ≤ t < π.

Since f(t + 2π) = f(t), the function repeats every 2π interval. Therefore, the graph will continue to repeat with the same pattern for each 2π interval.

Overall, the graph of f(t) will be a series of line segments: a descending line segment from (−π, π) to (0, −π), an ascending line segment from (0, −π) to (π, π), and so on, repeating every 2π.

Regarding the symmetry, we can observe that the function is neither even nor odd. An even function would have symmetry about the y-axis, meaning f(t) = f(-t). An odd function would have symmetry about the origin, meaning f(t) = -f(-t). However, the given function does not satisfy either of these conditions, so it is neither even nor odd.

(b) To calculate the Fourier series for f(t), we need to find the Fourier coefficients for the function. The Fourier series representation of f(t) is given by:

f(t) = a0 + Σ[an cos(nt) + bn sin(nt)]

where a0 is the DC component and an, bn are the Fourier coefficients.

To calculate the Fourier coefficients, we use the following formulas:

an = (1/π) ∫[−π, π] f(t) cos(nt) dt

bn = (1/π) ∫[−π, π] f(t) sin(nt) dt

Let's calculate the coefficients for this particular function:

a0 = (1/π) ∫[−π, π] f(t) dt

= (1/π) ∫[−π, 0] (-2t - π) dt + (1/π) ∫[0, π] (2t - π) dt

= (-2/π) ∫[−π, 0] t dt + (2/π) ∫[0, π] t dt

= (-2/π) [-t^2/2] from −π to 0 + (2/π) [t^2/2] from 0 to π

= (-2/π) * (0 - (−π)^2/2) + (2/π) * ((π)^2/2 - 0)

= π

an = (1/π) ∫[−π, π] f(t) cos(nt) dt

= (1/π) ∫[−π, 0] (-2t - π) cos(nt) dt + (1/π) ∫[0, π] (2t - π) cos(nt) dt

= (-2/π) ∫[−π, 0] t cos(nt) dt - (π/π) ∫[−π, 0] cos(nt) dt

+ (2/π) ∫[0, π] t cos(nt) dt - (π/π) ∫[0, π] cos(nt) dt

= (-2/π) * [-t sin(nt)/n] from −π to 0 - (1/π) * [sin(nt)/n] from −π to 0

+ (2/π) * [t sin(nt)/n] from 0 to π - (1/π) * [sin(nt)/n] from 0 to π

= (-2/π) * (0 - (−π) sin(nπ)/n) - (1/π) * (sin(nπ)/n - sin(-nπ)/n)

+ (2/π) * (π sin(nπ)/n - 0) - (1/π) * (sin(nπ)/n - sin(-nπ)/n)

= 0

bn = (1/π) ∫[−π, π] f(t) sin(nt) dt

= (1/π) ∫[−π, 0] (-2t - π) sin(nt) dt + (1/π) ∫[0, π] (2t - π) sin(nt) dt

= (-2/π) ∫[−π, 0] t sin(nt) dt - (π/π) ∫[−π, 0] sin(nt) dt

+ (2/π) ∫[0, π] t sin(nt) dt - (π/π) ∫[0, π] sin(nt) dt

= (-2/π) * [t (-cos(nt))/n] from −π to 0 - (1/π) * [-cos(nt)/n] from −π to 0

+ (2/π) * [t (-cos(nt))/n] from 0 to π - (1/π) * [-cos(nt)/n] from 0 to π

= (-2/π) * (0 - (−π) (-cos(nπ))/n) - (1/π) * (-cos(nπ)/n - (-cos(-nπ))/n)

+ (2/π) * (π (-cos(nπ))/n - 0) - (1/π) * (-cos(nπ)/n - (-cos(-nπ))/n)

= (4/n) * (cos(nπ) - cos(-nπ))

= (4/n) * (cos(nπ) - cos(nπ))

= 0

Since the Fourier coefficients an and bn are both 0, the Fourier series for f(t) simplifies to:

f(t) = a0

= π

Therefore, the Fourier series for f(t) is simply f(t) = π.

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Kendra will need to borrow the total cost of the remaining items minus her $10.00 bill: the difference C - $10.00 to complete the payment.

To determine how much Kendra needs to borrow from one of her friends, we need to find the total cost of the remaining items she ordered. Let's assume the total cost of the remaining items is represented by "C" dollars.

Since Kendra has a $10.00 bill, she can pay $10.00 upfront. To cover the remaining cost of the items, she will need to borrow the difference between the total cost and her available money. Mathematically, this can be represented as:

Amount to borrow = Total cost - $10.00

Amount to borrow = C - $10.00

By knowing the value of "C," we can calculate the exact amount she needs to borrow to pay for the remaining items. The value of "C" will depend on the prices of the items she ordered. If the total cost C is less than $10.00, she won't need to borrow anything as her $10.00 bill will be sufficient to cover the cost.

Otherwise, if the total cost C is greater than $10.00, she will need to borrow the difference C - $10.00 to complete the payment.

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Using the theories of probability, we got that  5/9 is the probability that one letter is from each sister's name if the letters from their names are placed on identical cards so that each of cards contains one letter. without replacement.

We know very well that if we want to count number of ways  by which r object can be chosen from n objects ,this can be done in \(^nC_r\) ways which is equivalent to =(n!/(r!.(n-r)!)

Here are the same case, we have 10 cards, in each of the card there is letter written on it. So number of ways to choose two cards such that it contains any letter is can be done  in  \(^1^0C_2\) ways which is equivalent to 45 ways.

Similarly, number of ways of choosing card which contains only Cybil`s name =\(^5C_2\) ways=10 ways.

Similarly, number of ways of choosing card which contains only Ronda`s name =\(^5C_2\) ways=10 ways.

So  the number of ways containing one letter from each name  =  45 - 10 - 10 = 25

So....the probability of choosing one of these sets  =  25 / 45  =  5 / 9 =0.55

Hence, Cybil and Ronda are sisters. the letters from their names are placed on identical cards so that each of cards contains one letter. without replacement, two cards are selected at random from the cards.  the probability that one letter is from each sister's name is = 5/9.

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(Complete question) is:

cybil and ronda are sisters. the 10 letters from their names are placed on 10 identical cards so that each of cards contains one letter. without replacement, two cards are selected at random from the 10 cards. what is the probability that one letter is from each sister's name? express your answer as a common fraction.

Tai created two patterns and then used the corresponding numbers from each pattern to form ordered pairs.

To do this, she would have taken the numbers from the first pattern as the x-coordinates and the numbers from the second pattern as the y-coordinates. By pairing these numbers together, she formed a set of ordered pairs (x, y).
After obtaining the ordered pairs, Tai graphed them on a coordinate plane. By plotting the points, she would have been able to visually analyze the relationship between the two patterns. This can help her identify if there's a linear, quadratic, or any other type of relationship between the patterns. Furthermore, the graph can be utilized to make predictions or identify trends in the data.
It's essential to remember that when working with ordered pairs and graphing them, accuracy is crucial to ensure that the relationship between the patterns is represented correctly.

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Answer:

B. 6x + 8y = z , x represents the calzones sold; y represents grinders sold; z represents total sales.