Cameron has a loyalty card for a good discount at his local grocery store the item he wants to buy is priced at $25 before the discount and tax after the discount and before tax the price is $24.75 what’s the percent discount?

Answer:

3rd option.

Step-by-step explanation:

figure u dont need one

We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

Using the following property of logarithms:

\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)

Therefore,

\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)

So, \(log4 (0.5^(1/2)) =-0.0752\)

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Answer:

To make it easier to display the answer, the answers are in the picture attached below!

I'm doing good this morning!

The information needs to be divided into class intervals in order to make a histogram. Following that, make a tally to display the frequency (or relative frequency) of the data within each interval.

Histogram Illustration

135  137   136  137  138  139

140  139   137  140  142  146

148  145    139  140  142  143

144   143   141  139   137  138

139   136   133   134  132  132

Her weight should be a histogram.

Answer

131.5-133.5

133.5-135.5

135.5-137.5

137.5-139.5

139.5-141.5

141.5-143.5

143.5-145.5

145.5-147.5

147.5-149.5

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Answer:

V = 9.75 cubic inches.

Step-by-step explanation:

Given the following data;

Length = 2 inches

Width = 3¼ inches

Height = 1½ inches

To find the volume of rectangular prism;

Volume of rectangular prism = length * width * height

V = 2 * 3¼ * 1½

V = 2 * 13/4 * 3/2

V = 2 * 39/8

V = 2 * 4.875

V = 9.75 cubic inches

Answer:

X=-0.4

Y= - 2

Step-by-step explanation:

First we slove for x intetcept so we put 0 for y.

Y=5X-2

0=5X-2 Now move the variables to

the left side.

5x=-2 Divide both sides by 5

because the coefficient

of your variable is 5.

X=-0.4

Now let's solve for Y intetcept.

Y=5X-2

Y=5(0)-2

Y=-2

Answer:

11/15 or .73333333...

Step-by-step explanation:

heres how i went about it:

think of it as a fraction,

121

------

225

to find the sqyare root of a fraction you would find the square root of each number individually

√121=11

√225=15

then you divide them and get .73333333333333333...

bad at explaining but hope this helped <3

Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

Te advertiser's cost per viewer for a 30-second ad is $0.01025.

Cost per view means an ads model that charges the advertiser whenever a user watches an ad for a set duration.

To calculate the cost per viewer for the advert, we need to divide the advertising fee by the number of viewers which gives us:

Cost per viewer = Advertising fee / Number of viewers

Substituting the values, we get:

= $165,000 / 16.1 million viewers

= $165,000 / 16,100,000 viewers

= 0.0102484472 per viewer

= $0.01025 per viewer.

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Assuming that the price depends on the area, we will see that the price of the second poster is  $1.37

We know that a poster of 55cm by 70cm has a price of $5.49, and we can assume that the price depends on the area, the area of the poster is:

A = 55cm*70cm = 3,850 cm²

Then the price per square centimeter is:

p =  $5.49/3,850

Now, the other poster has the dimensions 27.5cm by 35cm, the area is:

A = 27.5cm*35cm = 962.5cm²

Then the price of this poster will be:

price =  962.5* $5.49/3,850  = $1.37

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Answer:

Girls: 45

Boys: 25

Step-by-step explanation:

\(9 + 5 = 14\)

\(70 \div 14 = 5\)

\(9 \times 5 = 45\)

\(5 \times 5 = 25\)

Awnser Check:

\(45 + 25 = 70\)

Answer:

Step-by-step explanation:

In order to determine the number of wax cubes needed to make the candle, we divide the volume of the pyramid by the volume of the cube. That is,

             number of wax = volume of mold / volume of wax

The formulas are,

              number of wax = (1/3)Ah / s³

Where A is the area of the base, in this case 9 cm x 9 cm which is equal to 81 cm². Substituting the known values from the given above,

               number of wax = (1/3)(81 cm²)(10 cm) / (4 cm)³ = 4.21

Thus, approximate number of wax should be 4.21. If we are to round this off to the nearest whole number, we will get 5 (considering that we want rather to have excess than missing items)

Answer:

5

Step-by-step explanation:

Pyramid mold

volume of a square based pyramid = \(\dfrac13a^2h\)

(where a is the side of the base and h is the height)

Given a = 9 and h = 10:

volume = \(\dfrac13\times9^2\times10\) = 270 cm³

Wax Cube

volume of a cube = a³

(where a is the length of one edge)

Given a = 4

volume = 4³ = 4 x 4 x 4 = 64 cm³

Divide the volume of the pyramid by the volume of 1 wax cube:

270 ÷ 64 = 4.21875

We need to round this number up to 5 as if we rounded down to 4, we wouldn't have quite enough to fill the pyramid.

Therefore, Devin will need 5 wax cubes in order to make the candle.

Answer:

Two angles are vertical angles if their sides form two pairs of opposite rays. 5 and 6 are a linear pair. Two adjacent angles are a linear pair if the form a straight line. Linear Angle Pairs add up to 180°.

The calculated output value for an input value of 5 is (c) 10

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

Kerrin is making an input-output table for the rule "add 5."

This means that

Output = input + 5

In this case, we have

input = 5

substitute the known values in the above equation, so, we have the following representation

Output = 5 + 5

Evaluate

Output =10

Hence, the output is 10

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Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

circumference of circle=2πr=2×3.14×3.5=21.98=22

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

The equation we can use to find x is:

\(x^{2}\) + \(86^{2}\) = \(100^{2}\)

We can use the Pythagorean theorem to find x. In the sketch, the ladder, the ground, and the building form a right triangle. The vertical leg of the triangle is the height of the building, which is 86 ft. The horizontal leg is the distance we want to find, which is x ft. The length of the ladder is the hypotenuse of the triangle, which is 100 ft. Therefore, we have:

\(x^{2}\) + \(86^{2}\) = \(100^{2}\)

Simplifying and solving for x, we get:

\(x^{2}\) + 7396 = 10000

\(x^{2}\) = 2604

x ≈ 51

Therefore, the equation we can use to find x is:

\(x^{2}\) + \(86^{2}\) = \(100^{2}\)

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Answer:

Step-by-step explanation:

hello :

Y-intercept = 7/5......(put x=0)

Given the system of equations :

Subtract the first equation from the second equation to eliminate x

Then, solve to find y

Substitute with y = 8 at the first equation to find x :

So, the answer of the system :

The height of the trapezoid is approximately 13.043 mm.

To find the height of a trapezoid, you can use the formula:

Area = 1/2 * (base1 + base2) * height

Given:

Area = 150 square millimeters

base1 = 7 mm , w

base2 = 16 mm

150 = 1/2 * (7 + 16) * height

150 =1/2 * 23 * height

Make height the subject of the formula

300 = 23 * height

height = 300 / 23

height = 13.043 mm (rounded to three decimal places)

Therefore, the height of the trapezoid is approximately 13.043 mm.

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Answer:

9.1

Step-by-step explanation:

To calculate the total interest payable, we use the formula

I=P0rt,

and substituting our values yields

I=$2,400×0.08×1812=$288.

Therefore the total amount he receives at loan drawdown is $2,400−$288=$2,112. To calculate the effective interest rate, we use to formula

A=P0(1+ret).

In this instance we have A=$2,400,P0=$2,112 (redefined from the value above) and t=1.5. We substitute into the formula to get

$2,400=$2,112(1+1.5re).

Solve for re.

24002112=1+1.5re

24002112−1=1.5re

24002112−11.5=re

This gives re=0.0909⋯=9.0909…%,  which is 9.1%

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

6 I dont know I think thats it

Answer:

do you maybe have a picture to go with this??

Answer:

1 L

Step-by-step explanation:

Kitchen sinks are pretty large in terms of volume in Liters

use the 1 L container

When 2, 325 is rounded to the nearest thousand, the result would be 2, 000.

To round a number to the nearest thousand, identify the place value of the rounding digit, which is the thousandth place (the third digit from the right).

Then, look at the digit to the right of the rounding digit. If this digit is 5 or greater, then round up the rounding digit by adding one to it. If the digit is less than 5, keep the rounding digit as it is.

The number 2, 325 would therefore be rounded to 2, 000 because the digit " 3 " is less than 5.

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When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation

To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.

The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.

In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':

2a + c = 162.97

Rearrange the equation to isolate 'c':

c = 162.97 - 2a

Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.

For example, let's say we choose 'a' = 10:

c = 162.97 - 2(10)

c = 162.97 - 20

c = 142.97

So, when 'a' is 10, 'c' is approximately 142.97.

You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.

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