A cereal box says that it now contains 22% more cereal for the same price. Originally, it came with 17.4 ounces of cereal. How many ounces of cereal does the new box come with?
A) 17.4
B) 39.4
C) 21.2
D) 19.6

a) Speed = distance/time

From the information given,

Distance = 3.75

time = 0.3

Thus, her speed would be

Speed = 3.75/0.3 = 12.5 miles per hour

b) Given that

Distance = 4.5 miles

Speed = 12.5 miles per hour,

Time = distance/speed = 4.5/12.5

Time = 0.36 hours

It will take her 0.36 hours to go 4.5 miles

Answer:

0.0073

Step-by-step explanation:

<3

Answer:

0.0025

Step-by-step explanation:

This is because , you have the number 75, and dividing that by 3 is 25, but since our number is 0.75, that means we are adding the 2 zeros from our 300 and add it on to be to 0.0025, this won’t work in some situations.

Hope that helps!

Answer:

Step-by-step explanation:

The perimeter of a parallelogram ABCD IS 92cm. AD is 1cm more than twice AB. Find the lengths of all four sides of ABCD

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let x = |AD|   (the length of the side AD).

Let y = |AB|   (the length of the adjacent side AB).

Then

2x + 2y = 92   (the perimeter)

x - 2y = 1    ("AD is 1cm more than twice AB.")

Add the two equations (both sides) and get

3x = 92 + 1  --->  3x = 93  --->  x = 93/3--->  x = 31.

Then from the second equation  2y = x - 1 = 30-1 = 30.

Hence, y = 30/2 = 15.

Answer. The sides of the parallelogram are 31, 15, 31 and 15 cm long.

Answer:

Multiply the circle's diameter by π (units do not matter).

Step-by-step explanation:

A circle's diameter is the line that connects one point on the circle to the furthest point on the other side of the circle, passing through its centre. π is the ratio of the length of a circle's circumference to its diameter - it is therefore natural that multiplying a circle's diameter by π will give its circumference. π works, regardless of units used, so the fact the question is in feet does not matter!

The intersection of the A, B and C sets is { 10}

The amount more that Andres would have in his account than Tristan is $5,171.

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

Future value with annual compounding = 19,000 x (1 + 0.08125)^19 = $83,820.43

Future value with monthly compounding = 19,000 x (1 + 0.075/12)^(12 x 19) = $78,649.74

Difference in values =  $83,820.43 - $78,649.74 = $5,171

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Answer:

+(1/3), assuming a corerection is made in the equation.  (see below)

Step-by-step explanation:

The formaula provided is not a function.  It simply states that f(x) = -(2/9) + (1/3).  My response will assume that an "x" was intended after the -(2/9):

f(x) = -(2/9)x+1/3

A straight line have the form y = mx + b.   IIt is comprised of the slope of the line, m (-2/9) and the y-intercept b (1/3).  The y-intercept is the value of y when x is 0.  That would be (1/3).  Thus, (1/3) is the y-intercept.

Answer:

huh?

Step-by-step explanation:

The product of the given expression is \(-12s^2 + 11st - 2t^2\).

The product is a result of one or more multiplications of the given set of numbers or equations.

Given expressions are (-3s +2t) and (4s - t).

We need to find the product of the given expression.

Product = \((-3s +2t)(4s - t).\)

Product = \(- 12 s^2 + 3st + 8st - 2t^2\)

Product = \(-12s^2 + 11st - 2t^2\)

Hence we can conclude that the product of the given expression is \(-12s^2 + 11st - 2t^2\).

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A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

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Answer:

If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

Answer:

Step-by-step explanation:

If one angle in a parallelogram is 90°, then it is a  rectangle.

Answer:

y=-4x-8

Step-by-step explanation:

use the equation y-y1=m(x-x1) and solve for y

Answer:

y=-4x-3

Step-by-step explanation:

For this, you would use the point-slope formula, which is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from the ordered pairs, and m being the slope. You can plug the values from the problem into the formula:

(y-5)=-4(x+2)

y-5=-4x-8

y=-4x-3

hope this helps! :)

Answer:

a = 4.52 km

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ (7.2)² = a² + (5.6)²

→ 51.84 = a² + 31.36

→ a² = 51.84 - 31.36

→ a = √20.48

→ [ a = 4.52 km ]

Hence, value of a is 4.52 km.

Answer: For question #1, it’s #3. For question #2 a) it’s –12/5, for question #2 b, c and d) uh, let someone else can answer the rest of the question.

Step-by-step explanation: I solve the problem by solving this equation below.

The equation of the circle can be shown as, x² + y² = 9², or, x² + y² = 81.

The equation of a circle, with the center at the origin and the radius r units, is given as x² + y² = r².

In the question, we are asked to write the equation for a circle centered at the origin with x-intercepts of (-9, 0) and (9, 0).

We can find the radius of the circle using the distance formula,

D = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁, y₁) and (x₂, y₂) are the endpoints of a line segment.

Radius is the distance between the center and any point on the circle.

Thus, taking (x₁, y₁) as (0, 0), the origin, for the center, and (x₂, y₂) as (9, 0), for any point on the circle, we get the radius as:

r = √((9 - 0)² + (0 - 0)²),

or, r = √(9² + 0²),

or, r = √9² = 9.

Thus, the radius of the circle is r = 9 units.

Thus, the equation of the circle can be shown as, x² + y² = 9², or, x² + y² = 81.

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Answer: The answer is D

Step-by-step explanation:

The wrong statement is, the area of the final square is equal to the area of the triangle with a hypotenuse of c, the correct option is D.

According to Pythagorean Theorem, for a right angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides.

The figure shows the first two steps of a proof of the Pythagorean theorem

In Pythagorean theorem, squares are used to prove the equality of the square of the bigger side with the sum of area of square of the other two smaller sides,

The area of the final square is not equal to the area of the triangle with a hypotenuse of c.

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The list with the smallest standard deviation is the following: 16, 12, 13, 16, 14, 15, 16, 14, 14, 13.

What is standard deviation?

Standard deviation is a statistical measure of the variability of a set of data values. It's a step-by-step process for determining how far each value is from the mean. It is important since it may reveal the amount of variability in a set of data. The formula for calculating standard deviation is as follows:

σ=√∑(x−μ)²nσ=√∑(x−μ)²n

In this equation, x represents the values in the data set, μ represents the mean of the data set, and n represents the number of values in the data set. Let us now compute the standard deviation of each of the given data sets, starting with the first one. We can utilize the formula given above to do so:

6, 19, 9, 18, 19, 9, 17, 18, 17, 15                        μ = 15.8,σ = 4.83 (rounded to two decimal places)

31, 30, 26, 28, 18, 28, 18, 21, 23, 32                μ = 25.5,σ = 5.93 (rounded to two decimal places)

20, 21, 20, 19, 25, 24, 19, 14, 21, 15                μ = 19.8,σ = 3.98 (rounded to two decimal places)

14, 20, 16, 14, 28, 13, 17, 21, 12, 22                μ = 17.7,σ = 4.96 (rounded to two decimal places)

16, 12, 13, 16, 14, 15, 16, 14, 14, 13                  μ = 14.3,σ = 1.96 (rounded to two decimal places)

The list with the smallest standard deviation is the following: 16, 12, 13, 16, 14, 15, 16, 14, 14, 13.

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The probability is the odds thus the probability it will rain today will be 5/9.

Probability is also known as chance because, if you flip a coin, the chance that it will strike on its head or tail is just a chance that either a head will make an appearance or not.

As per the given,

The odds of rain today are 5:9

Odds will be the equivalent of probability because probabilities is the same as chances.

The probability will be 5/9 or  5:9.

Hence "Since probability implies odds, so possible that it will rain tonight is 5/9.".

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Answer:

B

Step-by-step explanation:

the others are arrows but b is a line

Answer: 3/10 times 5 equals 15/50

Step-by-step explanation: First you do 3 times 5 which equals 15 and then 10 times 5 to get 50, which together make 15/50 and to make sure it's right check it by finding the greatest common factor they both have.

Answer:

5/5

Step-by-step explanation:

3 will enter 15, 5 times

n 10 will enter 50, 5 times

Answer:

0

Step-by-step explanation:

Answer:

Neither are polynomials because polynomials have more than 2 terms

Step-by-step explanation:

Answer: 10 is a polynomial because the power of x is 0, which is a whole number.

Step-by-step explanation: Sorry that's all I got. I hoped that helped you find why 1/4 is not a polynomial.

A matrix A is said to have only the trivial solution if the only solution to the system of equations, A x = 0, is the zero vector, x = 0.

The number of pivot columns in a matrix is equal to the rank of the matrix. Therefore, if A has only the trivial solution, it has rank 0, and so it has 0 pivot columns. To calculate the rank of a matrix, we can use the following formula: rank(A) = min(m, n) - dim(null A), where m and n are the number of rows and columns of A, respectively, and dim(null A) is the dimension of the null space of A.

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complete question:

Given an m x n matrix A, what is the number of pivot columns for A if it has only the trivial solution?

The result for the given 14 length bit string is-

(a) The bit strings of length 14 which have exactly three 0s is 2184.

(b) The bit strings of length 14 which have same number of 0s as 1s is 17297280.

(c) The bit strings of length 14 which have at least three 1s is 4472832.

A bit-string would be a binary digit sequence (bits). The size of the value is the amount of bits contained in the sequence.

A null string is a bit-string with no length.

The concept used here is permutation;

ⁿPₓ = n!/(n-x)!

Where, n is the total samples.

x is the selected samples.

(a) Because there are exactly three 0s, its other digits have always been one, hence the total of permutations is equal to;

n = 14 and x = 3 digits.

¹⁴P₃ = 14!/(14-3)!

¹⁴P₃ = 2184.

Thus, the bit strings of length 14 which have exactly three 0s is 2184.

(b) Because it is a bit string with 14 digits and it can only have digits 0 or 1, we must choose 7 0s and the remaining 7 1s, hence the number possible permutations is equal to;

n = 14 and x = 7 digits.

¹⁴P₇ = 14!/(14-7)!

¹⁴P₇ = 17297280.

Thus, the bit strings of length 14 which have same number of 0s as 1s is 17297280.

(c) The answer is identical to problem a, but the rest of a digits could be either 0 or 1, hence it must be doubled by 2¹¹ because there are 11 digits, each of which can be one of two options;

= 2184×2¹¹

= 4472832

Thus, he bit strings of length 14 which have at least three 1s is 4472832.

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The correct question is-

How many bit strings of length 14 have:

(a) Exactly three 0s?

(b) The same number of 0s as 1s?

(d) At least three 1s?

horizontal transformation 1 unit left.

vertical translation 2 units down.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

f(x) = \(4^{x}\)

g(x) = \(4^{x+1} -2\)

As, we can see that g(x) is shifted left side by 1 unit

So, horizontal transformation 1 unit left.

Now, as 2 is subtracted

So, vertical translation 2 units down.

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Answer:

its logx=logy

Answer:

its logx=logy

Answer:

45 & 47

Step-by-step explanation:

Forming the equation,

→ x + (x + 2) = 92

→ 2x + 2 = 92

Now the value of x will be,

→ 2x + 2 = 92

→ 2x = 92 - 2

→ x = 90/2

→ [ x = 45 ]

Then the required integers are,

→ x = 45

→ x + 2 = 45 + 2 = 47

Hence, the integers are 45, 47.

Answer:

26/35

Step-by-step explanation:

So we gotta add it together, so 1/7+0.6 or 1/7+3/5. Common denominator is 35, so the answer is 26/35

Step-by-step explanation:

I solved it by steps...

I hope you understand...