Can someone help me with these questions pls

Answer:

Step-by-step explanation:

Let the number of games be x

Inequality:

Since there should be more than 0 left, another inequality for it:

So 13 < x < 15, which leaves us with 14

Answer:

The slope of the tangent line to the curve at the given point is -11/7.

Step-by-step explanation:

Differentiation is an algebraic process that finds the gradient (slope) of a curve.  At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.

Given function:

\(4x^2+5xy+y^4=370\)

To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.

Begin by placing d/dx in front of each term of the equation:

\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)

Differentiate the terms in x only (and constant terms):

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)

Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Use the product rule to differentiate terms in both x and y.

\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)

\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:

\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)

To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)

Therefore, slope of the tangent line to the curve at the given point is -11/7.

and slope-interceptAnswer:

D

Step-by-step explanation:

you can graph each system (i used a graphing calculator called demos) and you look to see where the lines intersect.

but to graph it without a calculator, you can simply you slope intercept form,

y=mx+b, and graph it from there.

for y=-x+5, you can put I -1 in front of the x because x=at least 1 if there is no other number. so then you have -1x+5 so then you go to your graph paper and create a graph and start at 0,5, then you do the slope of 1/1 or 1 to find the line. same with the second problem, 1/4 means rise/ run. so 1 up and 4 to the right. if the answer is negative you with the directions. you start at ten and map it out

I hope it was helpful, but I'm sorry if it didn't make any sense, it's just how my brain works.

Answer:

(40, 100) (x,y) Also, In the image below

Step-by-step explanation:

I used this website to do this. It is a very accurate website I used it all the time in algebra. So it should be right

I hope this helps!!!

Please mark Brainliest :)

Answer:

n = 20

Step-by-step explanation:

[ 180° ( n - 2 ) ] / n = 162°  

180 ( n - 2 ) = 162 n

180n - 360 = 162n

18n = 360

n = 20

Answer:b

Step-by-step explanation:

Yes

According to the percentage calculation, 40 percentage of boys bring lunch to school.

"Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%."

Given, the total number of boys in that school = (12 + 18) = 30.

Number of boys that bring lunch to school = 12.

Therefore, the percentage of boys who bring lunch to school is

= \(\frac{12}{30}\) × 100% = 40%.

Therefore, 40% of total boys bring lunch to school.

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well, how much is 15% of 850?

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 850}}{\left( \cfrac{15}{100} \right)850}\implies 127.5\)

Answer:

To find the effective annual rate (EAR) of an account that pays interest at the nominal rate of 7% per year, compounded daily, we can use the following formula:

EAR = (1 + r/n)^n - 1

where r is the nominal annual interest rate (expressed as a decimal), and n is the number of times the interest is compounded in a year.

For daily compounding, n = 365 (since there are 365 days in a year), so we have:

EAR = (1 + 0.07/365)^365 - 1 = 0.0725 or 7.25%

To find the effective annual rate for hourly compounding, we need to adjust the value of n to account for the fact that interest is compounded more frequently. There are 365 days * 24 hours = 8,760 hours in a year, so we can use n = 8,760:

EAR = (1 + 0.07/8760)^8760 - 1 ≈ 0.0727 or 7.27%

Therefore, the effective annual rate for hourly compounding is approximately 7.27%.

Answer:

a=12.0415946 ft

Step-by-step explanation:

a²+b²=c²

c= 17 and b= 12

a²+144=289

a²=145

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Answer/Step-by-step explanation:

✔️Find EC using Cosine Rule:

EC² = DC² + DE² - 2*DC*DE*cos(D)

EC² = 27² + 14² - 2*27*14*cos(32)

EC² = 925 - 756*cos(32)

EC² = 283.875639

EC = √283.875639

EC = 16.85 cm

✔️Find the area of ∆DCE:

Area = ½*14*27*sin(32)

Area of ∆DCE = 100.15 cm²

✔️Since ∆DCE and ∆ABE are congruent, therefore,

Area of ∆ABE = 100.15 cm²

✔️Find the area of the sector:

Area of sector = 105/360*π*16.85²

Area = 260.16 cm² (nearest tenth)

✔️Therefore,

Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)

Answer:

22° + m<C = 90°

Step-by-step explanation:

We are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.

We want to write an equation that will help us solve <C.

Recall that vertical angles are congruent by vertical angles theorem.

This means that <A ≅ <B; it also means that the measure of <B is also 22°.

Also recall that complementary angles add up to 90°.

This means that m<B + m<C = 90°.

Since we deduced that m<B is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for <C is:

22° + m<C = 90°

Answer:

12.5- the cost, in dollars, for tile per square foot

x(x+2)- the area, in square feet, of the room

400- the flat rate, in dollars, the company charges for installation

The length and width of the rectangular room is L = x feet , W = ( x + 2 ) feet

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular room be A

Now , the length of the room L = x feet

And , length of a certain room is 2 feet more than its width

The width of the room W = ( x + 2 ) feet

The total charge for tiling the room C = 12.5 x ( x + 2 ) + 400

Now , the area of the rectangular room A = x ( x + 2 ) feet²

So , the width, in feet, of the room = ( x + 2 ) feet

The length, in feet, of the room = x feet

The area, in square feet, of the room = x ( x + 2 ) feet²

The cost, in dollars, for tile per square foot = $ 12.50

The amount of materials needed to cover the room's floor = 12.5 x ( x + 2 )

The flat rate, in dollars, the company charges for installation = $ 400

Hence , the expressions are solved and the area of rectangle is x ( x + 2 ) feet²

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Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

10 ÷ 8 = 1.25

a. The equation is y = 44x

b. The slope is 44, which means savings for a particular week x is 44 times the said week.

To write an equation that represents the given graph, we need to find the slope. Let us select two points (2, 88), (4, 176)

The slope is:

The equation is:

This is with y-intercept being 0.

The slope of the graph is 44, it means the savings for a particular week x is 44 times the said week.

In the figure, the length of any line segment in the image is longer the length of the corresponding line segment in the preimage. The scale factor of the dilation is 2

The scale factor of dilation is defined as the change in size of a figure. Thus, a scale factor that is greater than 1 is referred to as an enlargement while a scale factor that is greater than 0 but less than 1 is referred to as a reduction.

Now, we are told that ΔABC has been dilated from center D to form ΔRST, This means that the lengths in ΔRST are longer than the lengths in ΔABC.

Secondly, by close inspection we can see that it was dilated by a scale factor of 2.

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The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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Step-by-step explanation:

\( \sf{\dfrac{5( \fbox{41} - 32)}{9} = C}\)

\( \sf{\dfrac{5( \fbox{9})}{9} = C}\)

\( \sf{ \dfrac{45}{9} = C}\)

\( \sf{C = 5 }\)

So,

41° F = [5]°C

Answer:

Step-by-step explanation:

-4x-3=y

we have the function

step 1

Find the inverse

Let

y=f(x)

so

y=(x+2)/3

step 2

Exchange the variables

x for y and y for x

x=(y+2)/3

step 3

Isolate the variable y

3x=y+2

y=3x-2

the inverse function is

f^-1(x)=3x-2

therefore

f^-1(4)=3(4)-2

The numbers that are 0.6 unit from 1.3 on the number line are 0.7 and 1.9

The number is given as:

Number = 1.3

The distance is given as:

Distance = 0.6

The numbers that are 0.6 unit from 1.3 on the number line are represented as:

Number = 1.3 ± 0.6

Expand

Number  = (1.3 - 0.6, 1.3 + 0.6)

Evaluate

Number  = (0.7, 1.9)

Hence, the numbers that are 0.6 unit from 1.3 on the number line are 0.7 and 1.9

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Answer:

0.7 and 1.9

Step-by-step explanation:

All work is provided in the screenshot attached! :)

Have a great day!

Answer:

?=5/5

Step-by-step explanation:

9x5=45

4x5=20

The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).

3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units  \(cm^2\) or \(mm^2\)  where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) \(m^2\)

4) \(km^2\)

5) \(in^2\)

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In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.

~~~Harsha~~~

Trains make up approximately 49.04% of the total journeys across all modes of transportation.

We must divide the total number of train trips by the total number of trips made using all modes of transportation, then multiply the result by 100 to get the percentage that trains make up of the total.

There have been 2320 train trips overall, and there have been 4730 trips overall using all forms of transportation.

Trains therefore account for the following proportion of the total:

(2320 / 4730) x 100% = 49.04%

Train travel thus accounts for roughly 49.04 percent of all travels made using all modes of transportation.

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Answer:

there are 7 green apples to 8 red apples, or it can be said as 7/8.

Step-by-step explanation:

15 - 7 = 8. This leaves 8 apples left, making these ones red.

Given:

Number of members = 30

We have the table below:

Enjoy Cycling Do not Enjoy Cycling Total

Enjoy Rafting 14 21 - 14 = 7 21

Do not enjoy Rafting 20 - 14 = 6 9 - 6 = 3 30 - 21 = 9

Total 20 7 + 3 = 10 30

ANSWER:

Therefore, the complete table is:

Enjoy Cycling Do not Enjoy Cycling Total

Enjoy Rafting 14 7 21

Do not enjoy Rafting 6 3 9

Total 20 10 30