If my heart beats 2790 times every three quarters of an hour, what is your heart rate per minute?

Step-by-step explanation:

[tex]cos ^{2} x - \sin ^{2} x = \frac{1}{3} [/tex]

[tex] \frac{(cos ^{2}x - \sin ^{2} x)(cos ^{2}x + \sin ^{2} x)}{(cos ^{2}x + \sin ^{2} x)} = \frac{1}{3} [/tex]

[tex] \frac{(cos ^{4}x - \sin ^{4} x)}{1} = \frac{1}{3} [/tex]

as cos²x+sin²x=1

Hence

cos⁴x-sin⁴x=1/3

Answer:

2.5

Step-by-step explanation:

you take 15 and divide it by 6 and that gives you 2.5

Answer: is it D). 2.5 hours?

Step-by-step explanation:

Answer: $2400

Step-by-step explanation:

$2225.50 x 1.2% =  $26.71 + $2225.50 =  $2252.21  - Year 1

$2252.21 x 1.2% = $27.03 + $2252.21 =  $2279.23  - Year 2

$2279.23 x 1.2% = $27.35 + $2279.23 =  $2306.58  - Year 3

$2306.58 x 1.2% = $27.68 + $2334.26 =  $2334.26  - Year 4

$2334.26 x 1.2% = $28.01 + $2362.27 =   $2362.27  - Year 5

$2362.27 x 1.2% = $28.35 + $2362.27 =  $2390.62  - Year 6

$2390.62 x 1.2% = $28.69 + $2390.62 =  $2419.31  - Year 7

$2419.31         x 1.2% = $29.03 + $2419.31 =  $2448.34  - Year 8

Rounded to the nearest 100th = $2400

Using the z-distribution, as we have the standard deviation for the population, it is found that 8 stores must be analyzed.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have an 82% confidence level, hence[tex]\alpha = 0.82[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.82}{2} = 0.91[/tex], so the critical value is z = 1.34.

The standard deviation for the population is of [tex]\sigma = 0.06[/tex], and we want a margin of error of M = 0.03, hence we solve for n to find the sample size needed.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.03 = 1.34\frac{0.06}{\sqrt{n}}[/tex]

[tex]0.03\sqrt{n} = 1.34 \times 0.06[/tex]

Simplifying by 0.03:

[tex]\sqrt{n} = 1.34 \times 2[/tex]

[tex](\sqrt{n})^2 = (1.34 \times 2)^2[/tex]

[tex]n = 7.2[/tex]

Rounding up, 8 stores must be analyzed.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

x + 8y - 35 = 0.

Step-by-step explanation:

The hypotenuse is the line joining A and C.

Slope = (4-5) / (3 + 5)

= -1/8.

Equation is:

y - 4 = -1/8(x - 3)

y - 4 = -1/8x + 3/8

1/8x + y - 35/8 = 0

x + 8y - 35 = 0

Answer:

[tex]3a^{2} b^{2} -6a[/tex]

Step-by-step explanation:

[tex]\frac{15a^{3}b(3ab^{2}-6 ) }{15a^{2} b}[/tex]       take [tex]15a^{3}[/tex]b common

 [tex]=3a^{2} b^{2}-6a[/tex]    cancel like terms

Answer:

8.5 acres

Step-by-step explanation:

12 pound = 102

1 pound= 102/12= 8.5

So we can plant 8.5 acre field with 1 pound of seed.

Please give me brainliest . :-)

Answer:

Step-by-step explanation:

In the question we are given ,

And , we have to find the height of cylinder .

We know that ,

[tex]

\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow[/tex]

Our solution starts from here :

[tex] \longmapsto \: \pi \: r {}^{2} h = 225\pi[/tex]

Step 1 : Cancelling π with π :

[tex] \longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}[/tex]

Step 2 : Substituting value of radius which is 5 cm in the formula :

[tex] \longmapsto \: (5) {}^{2} \times h = 225[/tex]

[tex] \longmapsto \: 25h = 225[/tex]

Step 3 : Transposing 25 to right hand side :

[tex] \longmapsto \: h = \frac{225}{25} [/tex]

Step 4 : Cancelling 225 by 25 :

[tex] \longmapsto \: \red{\boxed{h = 9 \: cm}}[/tex]

Answer:

B) y = 2x - 3

Step-by-step explanation:

Seth's age = y

Twice as old as Toby = 2x

3 years less = -3

Hope this helps!

copy the given expression on your answer sheet

Answer:

50 minutes

Step-by-step explanation:

Given:

[tex]\bullet \ \ \text{Monday:} \ \dfrac{2}{3} \times \text{Hour}\\\\\bullet \ \text{Wednesday:} \ \dfrac{1}{2} \times \text{Hour}[/tex]

Since Emily only practiced on Monday and Wednesday, the sum of time on both days is the time Emily practiced on the piano for a week.

[tex]\implies \text{Monday + Wednesday = Total time practiced on piano for a week}[/tex]

Substitute the times in the equation

[tex]\implies (\dfrac{2}{3} \times \text{Hour}) + (\dfrac{1}{2} \times \text{Hour}) = \text{Total time practiced on piano for a week}[/tex]

Simplify the equation

[tex]\implies (\dfrac{2}{3} \times 60 \ \text{minutes}) + (\dfrac{1}{2} \times 60 \ \text{minutes}) = \text{Total time practiced on piano for a week}[/tex]

[tex]\implies (20 \ \text{minutes}) + (30 \ \text{minutes}) = \text{Total time practiced on piano for a week}[/tex]

[tex]\implies \boxed{50 \ \text{minutes} = \text{Total time practiced on piano for a week}}[/tex]

Answer:

9.0 ft (nearest tenth)

Step-by-step explanation:

The chord is the base of an isosceles triangle with sides of the radius.

To calculate the approximate distance of the chord from the center of the circle, we need to find the height of this triangle.

[tex]\sf height=\sqrt{s^2-(\frac{b}{2})^2}[/tex]

(where s is the side length and b is the base length of an isosceles triangle)

Given:

[tex]\begin{aligned}\implies \sf height & =\sqrt{10.8^2-\left(\frac{12}{2}\right)^2}\\ & = \sqrt{116.64-36}\\ & = \sqrt{80.64}\\ & = 8.979977728...\\ & = 9.0\: \sf ft\:(nearest\:tenth) \end{aligned}[/tex]

Perpendicular=P=?

Apply Pythagorean theorem

Answer:

2&3

Step-by-step explanation:

They have the same absoulte value

You have to go 18 numbers to get from each other.

They are opposite numbers.

One is negative and one is positive.

Hope it Helps

Answer:

its A 14.0

Step-by-step explanation:

Parallelograms have 2 pairs of congruent, parallel sides, and opposite angles that are congruent.

If side KL = 31, then its opposite side, side MN, must also be 31.

If angle N = 119 degrees, then its opposite angle, angle L must also be 119 degrees.

Angle L and Angle K are on the same side of the parallelogram, which means that they are supplementary angles (add up to 180).

119 + K = 180

Angle K = 61 degrees

Hope this helps!

Answer:The data set represents the length, in inches, of some crayons.

4342

3222

2434

Step-by-step explanation:

Answer:

x

=

3.5

=

2.5

=

0

=

5

X

=

Step-by-step explanation:

the answer is C 3 magazines per book

Answer:

A.  4x+7

Step-by-step explanation:

What is the sum of 4x and 7?

Add 4x + 7

B. 3x

C. 11x

D. 3

Answer:

A. 4x+7

Step-by-step explanation:

4x has x-term as a variable while 7 only remains as a constant. Therefore, you cannot combine both terms as 11x since 4x and 7 are not like term.

Like terms are terms that have same variables and degrees. Some examples are:

Non-like terms are terms that have different variables and degree. Some examples are:

Like terms operation:

Non-like terms operation:

Let me know if you have any questions.

Answer:

that makes no sense

Step-by-step explanation:

Answer:rhombus

Step-by-step explanation: Its a square but one of the corners is holding it up and all sides are equal it might not seem at first but its an rhombus for sure!




Hope i helped

The equation of the circle is (x + 3)² + (y + 5)² = 36. Then the correct option is B.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The center of a circle at (–3, –5) and a radius of 6 units. Then the equation will be given as

(x + 3)² + (y + 5)² = 6²

(x + 3)² + (y + 5)² = 36

Then the equation of the circle is (x + 3)² + (y + 5)² = 36.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

D

Step-by-step explanation:

I did it B)

Both the median and the range changed, the correct option is A.

Median, in statistics, is the middle value of the given list of data, when arranged in an order.

The data set that contains the outlier is given as:

4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21

The minimum value of the data is: 4

The median or middle quartile i.e. [tex]\rm Q_2[/tex]  is the central tendency of the data and exists in the middle of the data.

The median is: 16

Also, the lower set of data is:

4,14,15,15,16

The lower quartile i.e. [tex]\rm Q_1[/tex]  is the median of the lower set of data.

The  lower quartile i.e. [tex]\rm Q_1[/tex] = 15

Similarly, the upper set of data is:

18, 19, 20, 20, 21

the upper quartile i.e. [tex]\rm Q_3[/tex]  is the median of the upper set of data.

upper quartile i.e. [tex]\rm Q_3[/tex] = 20

Also, the interquartile range is:

[tex]\rm Q_3-Q_1=20-15=5[/tex]

The maximum value of the set is 21.

Range = Maximum value-Minimum value =21 - 4 = 17

As we know that 4 is the outlier of the data as it is the smallest as compared to all the data points.

After removing the outlier the data set is:

14, 15, 15, 16, 16, 18, 19, 20, 20, 21

The minimum value of the set =14

The maximum value of set =21

Range = Maximum value-Minimum value =21-14 = 7

Hence, Both the median and the range changed.

To know more about median and range click the link given below.

https://brainly.com/question/9045470

Ian pay $10,890 in property tax every year if the assessed value of 55% of that amount and his state has a property tax rate of 0.088 option (c) is correct.

It is defined as the amount paid by the owner of the property such as land, buildings etc.

We have:

Lan's house and land have a market = $225,000

Assessed value = 55% ⇒ 0.55

Property tax rate = 0.088

We know the formula for property tax is given by:

Property tax = tax rate×assessed value×market value

Put the values in the above formula, we get:

Property tax = 0.088×0.55×225000

= $10,890

Thus, Ian pay $10,890 in property tax every year if the assessed value of 55% of that amount and his state has a property tax rate of 0.088.

Learn more about the property tax here:

https://brainly.com/question/15227817

Answer:

i have uploaded an answer i have found from the internet hope this helps :)

Step-by-step explanation:

Answer:

[tex]sd = \sqrt{ \frac{ fx {}^{2} }{f} - ( \frac{fx}{f}) {}^{2} } [/tex]

Answer:

18[tex]\frac{3}{4}[/tex]cm^3

Step-by-step explanation:

The product of the expression [tex]\rm \dfrac{\dfrac{2y}{y-3} }{\dfrac{4y-12}{2y+6}}\\\\\\[/tex] is [tex]\rm \dfrac{(y^2+3y)}{(y^2-6y+9)}\\[/tex].

In mathematics, the term 'product' refers to the answer to a multiplication problem.

The product of the given expression is determined in the following steps given below.

[tex]\rm =\dfrac{\dfrac{2y}{y-3} }{\dfrac{4y-12}{2y+6}}\\\\\\=\dfrac{2y}{y-3}\times \dfrac{2y+6}{4y-12}\\\\= \dfrac{2y \times 2y + 2y \times 6}{y(4y-12)-3(4y-12)}\\\\=\dfrac{4y^2+12y}{4y^2-12y-12y+36}\\\\=\dfrac{4y^2+12y}{4y^2-24y+36}\\\\=\dfrac{4(y^2+3y)}{4(y^2-6y+9)}\\\\ =\dfrac{(y^2+3y)}{(y^2-6y+9)}\\[/tex]

Hence, the product of the expression [tex]\rm \dfrac{\dfrac{2y}{y-3} }{\dfrac{4y-12}{2y+6}}\\\\\\[/tex] is [tex]\rm \dfrac{(y^2+3y)}{(y^2-6y+9)}\\[/tex].

To know more about the product click the link given below.

https://brainly.com/question/15029466

Answer:

3

Step-by-step explanation:

D on edge 2022

Answer:

16

Step-by-step explanation:

2/3 of 24 students

2/3 * 24 = 16

Answer:

they are about 90 feet far apart from each other

Step-by-step explanation:

Here you can use the Pythagorean theorem :

[tex]\sqrt{50^{2}+75^{2}} =\sqrt{8125}[/tex]

                 [tex]=90.1387818866[/tex]