1) (28 ÷ 4) + 3 + (10 - 8) × 5 2) 12 - 5 + 6 × 3 + 20 ÷ 4 3) 36 ÷ 9 + 48 - 10 ÷ 2 4) 10 + 8 × 90 ÷ 9 - 4 5) 8 × 3 + 70 ÷ 7 – 7

Answers

Answer 1

Answer:

1) 20.

2) 30.

3) 47.

4) 86.

5) 27.

Step-by-step explanation:

The order of operations consist in, first, evaluate the parenthesis, then the exponents, the multiplication, the division, and as last the addition and subtraction. Having this in mind:

1) (28 ÷ 4) + 3 + (10 - 8) × 5

7 + 3 + 2 × 5

7 + 3 + 10

20

2) 12 - 5 + 6 × 3 + 20 ÷ 4

12 - 5 + 18 + 5

30

3) 36 ÷ 9 + 48 - 10 ÷ 2

4 + 48 - 5

47

4) 10 + 8 × 90 ÷ 9 - 4

10 + 80 - 4

86

5) 8 × 3 + 70 ÷ 7 – 7

24 + 10 - 7

27


Related Questions

At the state fair, admission at the gate is $9. In addition, the cost of each ride is $2. Suppose that Reuben will go on x rides.
Reuben wants the total number of dollars he spends on admission and rides to be fewer than . Using the values and variables given, write an inequality describing this.

Answers

Answer:

i think you forgot to add how little he wants to spend

Step-by-step explanation:

Reuben wants the total number of dollars he spends on admission and rides to be fewer than ??? whats the number that he wants to spend

solve the given differential equation. y(ln(x) − ln(y)) dx = (x ln(x) − x ln(y) − y) dy

Answers

To solve the given differential equation:

y(ln(x) - ln(y)) dx = (x ln(x) - x ln(y) - y) dy

We can start by rearranging the terms:

y ln(x) dx - y ln(y) dx = x ln(x) dy - x ln(y) dy - y dy

Next, we can integrate both sides of the equation:

∫ y ln(x) dx - ∫ y ln(y) dx = ∫ x ln(x) dy - ∫ x ln(y) dy - ∫ y dy

To integrate the left-hand side, we can use integration by parts. Let's denote u = ln(x) and dv = y dx. Then, du = (1/x) dx and v = xy. Applying integration by parts, we have:

∫ y ln(x) dx = xy ln(x) - ∫ (1/x)(xy) dx

= xy ln(x) - ∫ y dx

= xy ln(x) - yx + C1

where C1 is the constant of integration.

Similarly, integrating the other terms:

∫ y ln(y) dx = xy ln(y) - yx + C2

∫ x ln(x) dy = (x^2 ln(x))/2 - ∫ (x^2)(1/x) dy

= (x^2 ln(x))/2 - ∫ x dy

= (x^2 ln(x))/2 - (x^2)/2 + C3

∫ x ln(y) dy = (x^2 ln(y))/2 - ∫ (x^2)(1/y) dy

= (x^2 ln(y))/2 - ∫ (x^2/y) dy

= (x^2 ln(y))/2 - x^2 ln(y) + ∫ x dy

= (x^2 ln(y))/2 - x^2 ln(y) + (x^2)/2 + C4

∫ y dy = (y^2)/2 + C5

Substituting these results back into the original equation:

xy ln(x) - yx + C1 - xy ln(y) + yx - C2 = (x^2 ln(x))/2 - (x^2)/2 + C3 - (x^2 ln(y))/2 + x^2 ln(y) - (x^2)/2 + C4 - (y^2)/2 - C5

Simplifying:

xy ln(x) - xy ln(y) = (x^2 ln(x))/2 - (x^2 ln(y))/2 - (y^2)/2 + C

where C = C1 - C2 + C3 + C4 - C5.

We can further simplify this equation:

xy (ln(x) - ln(y)) = (x^2 ln(x) - x^2 ln(y) - y^2)/2 + C

Finally, dividing both sides by (ln(x) - ln(y)), we get:

xy = (x^2 ln(x) - x^2 ln(y) - y^2)/(2(ln(x) - ln(y))) + C

This is the general solution to the given differential equation.

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a 18 The number 21 has no composite factors. What is another number that has no composite factors? A. 27- B. 52- C. 77- D. 81-​

Answers

The number that has no composite factors is (c) 77

How to determine another number that has no composite factors

From the question, we have the following parameters that can be used in our computation:

Number = 21

The factors of 21 are 3 and 7

These factors are composite numbers because they are prime numbers

using the above as a guide, we have the following:

The number 77 has no composite factors

This is so because

77 = 7 * 11

These factors are composite numbers because they are prime numbers

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How many zeros appear at the end of 115!? Do not compute 115!.
Your argument must come from prime factorizations to receive
credit.

Answers

there will be 27 zeros at the end of 115!.

To determine the number of zeros at the end of 115!, we need to consider the prime factorization of the number and examine how many factors of 5 are present.

A zero at the end of a factorial occurs when there is a factor of 10 present, which is equivalent to having both factors of 2 and 5. Since the number of factors of 2 is usually abundant, the crucial factor is the number of factors of 5.

In the prime factorization of 115!, the factors of 5 arise from the multiples of 5 (5, 10, 15, 20, ...) as well as higher powers of 5 (25, 50, 75, ...). We need to determine how many multiples of 5, multiples of 25, multiples of 125, and so on are present.

1. Multiples of 5: The number of multiples of 5 in 115! is given by ⌊115/5⌋ = 23.

2. Multiples of 25: The number of multiples of 25 in 115! is given by ⌊115/25⌋ = 4.

3. Multiples of 125: The number of multiples of 125 in 115! is given by ⌊115/125⌋ = 0 since there are no numbers in the range 1 to 115 that are multiples of 125.

Adding up these counts, we have 23 + 4 = 27 factors of 5.

Therefore, there will be 27 zeros at the end of 115!.

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Cheryl's making trail mix for a friend she always uses three cups of almonds for every four cups of cashews if Cheryl wants to make a larger batch of trail mix which of the following has the same ratio of almonds cashews
A. 9 cups of almonds for every 20 cups of cashews
B. 6 cups of almonds for every 12 cups of cashews
C. 9 cup of almonds for every 12 cups of cashews
D. 12 cups of almonds for every 20 cups of cashews

Answers

Answer:

c

Step-by-step explanation:

3x3=9

4x3=12

Answer:

C

Step-by-step explanation:

3 cups of almonds / 4 cups of cashews

So to get 9 cups of almonds, we need to multiply almonds and cashews by 3

3*3 = 9 cups of almonds

4*3 = 12 cups of cashews

So the correct answer is C

8. (08.02 lc)complete the square to transform the expression x2 6x 5 into the form a(x − h)2 k. (1 point)(x 6)2 4(x 6)2 − 4(x 3)2 − 4(x 3)2 4

Answers

The expression [tex]x^{2}[/tex] + 6x + 5 can be completed by transforming it into the form a(x - h)^2 + k.

To complete the square, we want to rewrite the quadratic expression x^2 + 6x + 5 in a perfect square trinomial form. We can achieve this by adding and subtracting a constant term inside the parentheses.

Starting with the given expression: x^2 + 6x + 5

To complete the square, we need to take half of the coefficient of x and square it. Half of 6 is 3, and squaring 3 gives us 9. So, we add and subtract 9 inside the parentheses:

x^2 + 6x + 5 = (x^2 + 6x + 9 - 9) + 5

Now, we can group the first three terms as a perfect square trinomial and simplify:

(x^2 + 6x + 9 - 9) + 5 = (x + 3)^2 - 9 + 5

Simplifying further, we have:

(x + 3)^2 - 4

Therefore, the expression x^2 + 6x + 5 can be written in the form a(x - h)^2 + k as (x + 3)^2 - 4.

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The linear approximation at z = 0 to sin(42) is A + Bz where A is:

Answers

the linear approximation at z = 0 to sin(42) is A + Bz, where A = sin(42) and B is the coefficient of z, which is cos(42).

The linear approximation of a function f(x) at a point x = a is given by the equation f(x) ≈ f(a) + f'(a)(x - a). In this case, we want to approximate sin(42) at z = 0.

The derivative of the sine function is cos(x), so the derivative of sin(42) with respect to z is cos(42). Evaluating the derivative at z = 0, we have cos(42).

To find A in the linear approximation A + Bz, we substitute z = 0 into the original function sin(42) and obtain A = sin(42).

Therefore, the linear approximation at z = 0 to sin(42) is A + Bz, where A = sin(42) and B is the coefficient of z, which is cos(42).

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What is the probability of spinning a number greater than 4?

Answers

Answer:

Please upload the full question.....here the total number of outcomes is not mentioned and hence it can't be solved.

Answer:

Hence, the required probability of getting a number greater than 4, P(E) = 1/3.

Step-by-step explanation:

Find the range of the function

Answers

Answer:

y€ R : y greater than or equal to 1

The diameter of a circle is 20 centimeters. What is the circumference?

Answers

C ≈ 62.83cm is the answer!

Hope this helps!

What he said great! Wow

Work out the circumference of this circle.
Take a to be 3.142 and write down all the digits given by your calculator.
16.8 cm

Answers

Answer: 52.7856cm

Step-by-step explanation:

Circumference of a circle = 2πr

Note that radius = Diameter / 2 = 16.8/2 = 8.4cm

Circumference = 2πr

= 2 × 3.142 × 8.4

= 52.7856cm

Therefore, the circumference of the circle is 52.7856cm

Proving a parallelogram side theorem.

Given ABCD is a parallelogram.

Prove: AB≈CD and BC ≈ DA

Answers

Answer:

just did it on edg, 2021

Hence, AB≈CD and BC ≈ DA

What is a parallelogram?

A four sided closed figure with all its sides parallel to its opposite side.

Consider two triangles ΔABD and ΔBCD

∠BCD=∠BCA( opposite angles are always equal)

∠ABD=∠BDC (AD||BC)

∠ADB=∠DBC(AD||BC)

ΔABD ≅ ΔBCD

AB≈CD by CPCTC

BC ≈ DA by CPCTC

Hence, proved

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The length of a rectangle is two more than triple the width. If the perimeter is 166 inches, what are the dimensions of the rectangle?

Answers

The dimensions of the rectangle are length = 62.75 inches and width = 20.25 inches.

The given problem states that the length of a rectangle is two more than triple the width.

If the perimeter is 166 inches, what are the dimensions of the rectangle? Let's solve the problem,

Step 1

Given, The length of the rectangle = l

Width of the rectangle = w

The perimeter of the rectangle = 166 inches

The formula for the perimeter of a rectangle is,

Perimeter = 2(l + w)

So, 166 = 2(l + w)166/2 = l + w83 = l + w ----(1)

Step 2

According to the given problem, The length of a rectangle is two more than triple the width

Therefore,

l = 2 + 3w

Substitute this value in equation (1)

83 = (2 + 3w) + w

83 = 2 + 4w

83 - 2 = 4w

81 = 4w

w = 81/4

w = 20.25 (approx)

Step 3

We have width w = 20.25 inches.

We can find the length l by substituting w in l = 2 + 3w

So,

l = 2 + 3(20.25)

= 2 + 60.75

= 62.75

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There are 180 trees in gardner grove orchard, and 18 of them are pears. What percent of the trees are pear trees?

Answers

the answer is 32.4%

Find the value of x. I WILL MARK YOU BRAINLIEST!!!

Answers

Answer:

4x+3x+2x=180

9x=180

x=20

Clarence has $90 in a savings account that earns 10% annually. The interest is not
compounded. How much will he have in 5 years?

Answers

Answer:

132 dollars I think

Step-by-step explanation:

A 28 ft tall house casts a shadow that is 35 ft long. A umbrella outside the house casts a shadow that is 16 7/8 long. How tall is the umbrella?

Answers

Answer:

The unbrella is 13.5 feet tall.

Step-by-step explanation:

35 / 28 = 1.25

1.25x = 16 7/8

x = (16 7/8) / 1.25

x = 13.5 ft

Joey made strawberry jam and raspberry jam. He made enough strawberry jam to fill 1/2 of a jar. If he made 2/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?

Answers

Answer:  1/5 of a jar

Step-by-step explanation:

1/2 times 2/5= .2 = 1/5.

Answer:

1/5 of a jar

Step-by-step explanation:

Find the first three terms of x[n] using power series expansion if X(z) 2z3 + 13z2 + 7 73 + 722 + 2z + 1 =

Answers

The first three terms of x[n] using the power series expansion are x[0] = 73, x[1] = 2, and x[2] = 13.

We can select the first three terms of x[n] using the power series development by expressing the given articulation X(z) as a polynomial in z. We should modify the articulation as follows to obtain the power series development: By comparing the given expression to the power series form, the coefficients can be identified: X(z) equals 2z3, 13z2, 7z, 73, 722/z, 2/z, and 1: a0 rises to 73, a1 approaches 2, a2 approaches 13, and a3 approaches 7. X(z) = a0, a1z, a2z2, a3*z3, and... Consequently, the following are the first three terms of x[n]:

The initial three terms of x[n] are provided by the power series development: x[0] = a0; x[1] = a1; x[2] = a2; x[0] = a0; The values of x[0] and x[1] are 73, 2, and 13.

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A part manufactured at a factory is known to be 12.05 cm long on average, with a standard deviation of 0.350. One day you suspect that that the part is coming out a little longer than usual, but with the same deviation. You sample 14 at random and find an average length of 12.20. What is the z-score which would be used to test the hypothesis that the part is coming out longer than usual?

Answers

The z-score to test the hypothesis that the part is coming out longer than usual is approximately 1.61.

Sample mean = x = 12.20 cm

Population mean = μ = 12.05 cm

Standard deviation = σ = 0.350 cm

Sample size = n = 14

A hypothesis is an informed prediction regarding the solution to a scientific topic that is supported by sound reasoning. there is the expected result of the experimentation even if there is not proved in an experiment.

Calculating the z-score -

[tex]z = (x - u) / (\alpha / \sqrt n)[/tex]

Substituting the values -

[tex]z = (12.20 - 12.05) / (0.350 / \sqrt{14)[/tex]

= z = 0.15 / (0.350 / √14)

= 0.093

Substituting the value again into the formula:

z = 0.15 / 0.093

= 1.61

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I'll give brainliest please help​

Answers

Answer:

∠R = 38°

Step-by-step explanation:

∠R = 1/2(arc PE - arc SQ)

∠R = 1/2(140 - 64) = 1/2(76) = 38°

What’s the answer to this?!!!

Answers

Answer:

77 meters

Step-by-step explanation:

For a right triangle, the formula for side length is

a^2 + b^2 = c^2 where c is the hypotenuse (opposite the right angle)

36^2 + b^2 = 85^2

1296 + b^2 = 7225

b^2 = 5,929

find the square root of both sides:

b = 77

Please let me know if you have questions.

AHH HELP ME PLS
Choose the values of x that are solutions to the inequality 5 <,
Select all that apply
Ax=2
= 6
E *=-7
F1 = 10

Answers

Answer:

x = 5

x = 6

x = 10

Step-by-step explanation:

NOTE: IT HAS TO BE MORE THAN 5 OR EQUAL TO 5

Please mark as brainliest  

Have a great day, be safe and healthy  

Thank u  

XD

find vertex of this function ​

Answers

Answer:

Step-by-step explanation:

(-1,-9)

Suppose f(x,y,z) = In(x + 2y2 + 3z"). Find the following partial derivatives. a. fx b. fz c.d2f/dzdx.

Answers

The partial derivatives are as follows :

(a) fx = 1 / (x + 2y^2 + 3z^3)

(b) fz = 3z^2 / (x + 2y^2 + 3z^3)

(c) d^2f/dzdx = -3z^2 / (x + 2y^2 + 3z^3)^2

To find the partial derivatives of the function f(x, y, z) = ln(x + 2y^2 + 3z^3), we differentiate with respect to each variable while treating the other variables as constants.

(a) Partial derivative with respect to x (fx):

To find fx, we differentiate the function f(x, y, z) with respect to x while treating y and z as constants. The derivative of ln(u) with respect to u is 1/u, so we have:

fx = d/dx ln(x + 2y^2 + 3z^3) = 1 / (x + 2y^2 + 3z^3)

(b) Partial derivative with respect to z (fz):

To find fz, we differentiate the function f(x, y, z) with respect to z while treating x and y as constants. Again, applying the derivative of ln(u), we get:

fz = d/dz ln(x + 2y^2 + 3z^3) = 3z^2 / (x + 2y^2 + 3z^3)

(c) Second partial derivative with respect to z and x (d^2f/dzdx):

To find d^2f/dzdx, we differentiate fz with respect to x while treating y and z as constants. We differentiate fx with respect to z while treating x and y as constants, and then take the derivative of the result with respect to z. It can be written as:

d^2f/dzdx = d/dx (d/dz ln(x + 2y^2 + 3z^3)) = d/dx (3z^2 / (x + 2y^2 + 3z^3))

= -3z^2 / (x + 2y^2 + 3z^3)^2

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Q1
The sum of the first 68 positive odd integers is ?

Q2
The degree of recurrence relation an = 2an-2 + 5an-49 is ??

Q3
In how many ways can an organization containing 19 members elect a president, treasurer and secretary (assuming no person is elected to more than one position)?

Q4
The Greatest Common Divisor (GCD) of 28 × 37 × 58 and 23 × 33 × 54 is ??

Answers

Q1: Sum of first 68 positive odd integers.

Let's represent the first 68 positive odd integers by: 1, 3, 5, 7, ..., 135, 137. The first term, a = 1. The last term, l = 137And, the number of terms, n = 68We need to find the sum of these terms. To find the sum of an arithmetic series, we use the following formula: Sn = n/2[2a + (n-1)d]. Here, d = common difference. Since the given sequence is of odd numbers, the difference between any two consecutive terms is 2. So, d = 2. Put these values in the formula to get: Sn = 68/2[2(1) + (68-1)2], Sn = 34[2 + 135], Sn = 68 × 67Sum of first 68 positive odd integers = 4546.

Q2: Degree of recurrence relation. To find the degree of a recurrence relation, we find the largest value of n in the relation. Here, an = 2an-2 + 5an-49The largest value of n in the relation is n = 49. So, the degree of the recurrence relation is 49.

Q3: Number of ways to elect office bearers in an organization. Let's assume that the 19 members of the organization are named M1, M2, M3, ..., M19. The president can be elected in 19 ways. After the president is elected, the treasurer can be elected in 18 ways. After the treasurer is elected, the secretary can be elected in 17 ways. Therefore, the total number of ways in which the president, treasurer, and secretary can be elected is:19 × 18 × 17 = 5,814.

Q4: Greatest Common Divisor (GCD)To find the GCD of two numbers, we need to find their prime factors.28 × 37 × 58 = 2² × 7 × 37 × 2 × 29 = 2³ × 7 × 29 × 37Similarly, 23 × 33 × 54 = 23 × 3² × 2 × 3 × 3 × 2 × 3 = 2³ × 3⁵ × 23.

The common prime factors are 2³ and 23. So, the GCD is: 2³ × 23 = 184. The GCD is 184.

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I need this answer as soon as possible

Answers

The perimeter is the distance all the way around. So it's the sum of the lengths of all 4 sides.

From the picture, you can clearly see the lengths of all 4 sides.

Writum down and adum up !

Renee is a sales associate at a store. She earns $80 a week plus a 15% commission on her sales. Last week, she sold $200 worth of items. What is the total amount Renee earned for the week? How much did she earn from commission?
Renee earned a total of $
for the week. The amount she earned from commission was $
.

Answers

Answer:

The amount earned for the week=$110

Amount earned from commission =$30

Step-by-step explanation:

commission earned on sales = $200×15%= $30

total amount for the week=$80 +$30= $110

Use the binomial series to find a Taylor polynomial of degree 3 for 1 91 +32 T3(0) X + c? + 23

Answers

The Taylor polynomial of degree 3 for the function 1/(1-2x) centered at x=0 is (1+2x+4x²+8x³).

Explanation: Given, 1/(1-2x) = ∑n=0 to infinity of 2^n * x^n The above series is the binomial series for (1+x)^n where n=-1Using the binomial series for n=-1, we have1/(1-2x) = ∑n=0 to infinity of 2^n * x^n= ∑n=1 to infinity of 2^(n-1) * x^(n-1)= 1 + ∑n=1 to infinity of 2^n * x^nTaking up to degree 3, we get1/(1-2x) = 1 + 2x + 4x² + 8x³ + ...Therefore, the Taylor polynomial of degree 3 for 1/(1-2x) is 1 + 2x + 4x² + 8x³.

An infinite sum of words that are expressed in terms of a function's derivatives at a single point is known as the Taylor series or Taylor expansion of a function in mathematics. Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions. for Brook Taylor, who introduced the Taylor series in 1715, they are named for him. In honour of Colin Maclaurin, who made great use of this unique example of Taylor series in the middle of the 18th century, a Taylor series is sometimes known as a Maclaurin series where 0 is the point at which the derivatives are taken into account.

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the quotient of 17 and z

Answers

Answer:

17÷z = quotient

Step-by-step explanation:

quotient = ÷

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you bring your cat to the veterinarian for her yearly check-up. the veterinarian tells you that there is a 75% probability that your cat has a kidney disorder or is diabetic, with a 40% chance it has kidney disorder and a 50% chance it is diabetic. what is the probability that your cat has both a kidney and is diabetic? Which of the following best accounts for whymalleability occurs?(A) The highly flexible structure of the atoms due to lackof an internal structure.(B) The high potential energy of the substance due to thefree floating electrons.(C) The ability of the cations to slide past one another due to the delocalization of the electrons.(D) The repulsion of the cations for each other causes the solid to easily spread with little resistance. 3. Find the inter-quartile range of the following Scrabble scores: 120, 150, 201, 185, 201, 162, 210 A. 12 C. 90 B. 51 D. 15 Examples:No correlation: Height of a student and good gradesThe height of a student has no relationship to good grades.A correlation but not causation: Good SAT scores and good gradesMany times, you will find students with good SAT scores also making good grades, but good SAT scores do not cause good grades. Many times there are other variables, such as good study habits, that contribute to both.Causation: Study time and good gradesThe amount of time a student studies does CAUSE grades to be GOOD. Note: Causation statements are not the same as a statement in logic. For example: If you jump in a swimming pool, you will get wet. If you dont jump in the swimming pool, you will not get wet. This will occur all the time if the pool is full of water. Causation is a little different. If you study, you are not guaranteed good grades. If you dont study, you are not guaranteed bad grades. We still can say that study time is one major cause of good grades.Assignment:Find an example of an article that that relates two variables. Is the article stating that the two variables are correlated or that they have a causal relationship? Does the article confuse correlation and causation? Discuss other variables that could contribute to the relationship between the variables. explain uber's business model and deduce its strategic intent. Three disks each of diameter 10 cm are to be placed inside a rectangular region. Determine the region (a) of least perimeter, (b) of least area. 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The average and standard deviation for the number of employees at hardware stores around Australia are 89 and 34 respectively. If a sample of 41 stores were chosen, find the sample average value above which only 2.5% of sample averages would lie. Give your answer to the nearest whole number of employees. What global entry strategy options do firms have? How should they choose between different options when internationalising their businesses? Discuss the potential managerial challenges Calculate the lower confidence limit (LCL) and upper confidence limit (UCL) of the mean for each of the following.a. x=380, n=441, o=50, and = 0.05 b. x=355, n=437, o = 225, and = 0.01 Which describes the steps in the correct order for an enzyme-catalyzed reaction? A trapeziod has an buse of length 10cm, and a hight of 5 m What is the missing venght of the base A service provider has a 12-month agreement to provide a customer with services for which the customer pays $1,000 per month. The agreement does not include any provisions for automatic extensions, and it expires on 30 November 2018. The two parties sign a new agreement on 28 February 2019 that requires the customer to pay $1,250 per month in fees, retroactive to 1 December 2018. The customer continued to pay $1,000 per month during December, January and February, and the service provider continued to provide services during that period. There are no performance issues being disputed between the parties in the expired period, only negotiation of rates under the new contract. Required: Does a contract exist in December, January and February (prior to the new agreement being signed)? which are root words? select three answers. anti con cred graph post vis According to theorist Phillip Zimbardo, what is the central conceptual variable underlying the development of deindividuation?A. selfishnessB. greedC. stressD. anonymity Helander obtained a government licence to operate a mine from 1 January 2021. The licence requires that, at the end of the mine's useful life, all buildings must be removed from the site and the site landscaped. Helander estimates that the cost of this decommissioning work will be 500,000 in ten years' time (present value at 1 January 2021 = 254,000) using a discount factor of 7%. According to IAS 37 Provisions, Contingent Liabilities and Contingent Assets how much should Helander include in provisions in its statement of financial position as at 31 December 2021? 500,000 254,000 535,000 271,780