Add.

−2.35+(−1.602)

Enter your answer in the box.

Answer:

Y= 2x

Step-by-step explanation:

Two points in that graph are (1,2) and (2,4). you have to do rise over run so 4-2 over 2-1 and the answer is 2/1 or just two.

Answer:

the median is increased from 7 to 7.5

Answer:

-2= y=-13, (x,y)= (-2,-13)

0= y= -3, (x,y)= (0,-3)

1= y= 2, (x,y)= (1,2).

Step-by-step explanation:

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The total cost for the electric bill is given by the equation A = $ 241

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost for the electric bill be A

Now , the equation will be

The amount of electricity used by Ettienne = 1,895 kWh

And , the standard plan is

8.5 cents/kWh for the first 400 kWh

12 cents/kWh for the next 400 kWh

14.5 cents/kWh for anything over 800 kWh

So , for the first 400 kWh , the cost is = 400 x 8.5 = 3,400 cents

And , for the next 400kWh , the cost is = 400 x 12 = 4,800 cents

And , the remaining units of electricity is = 1,895 - 800 = 1,095 kWh

So , for the next 1,095kWh, the cost is = 1,095 x 14.5 = 15,877.5 cents

Therefore , the total cost for 1,895kWh = 3,400 cents + 4,800 cents + 15,877.5 cents

On simplifying the equation , we get

The total cost for 1,895kWh A = 24,077.5 cents

The total cost for 1,895kWh A = $ 240.77

The total cost for 1,895kWh A = $ 241

Hence , the equation is A = $ 241

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The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

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Answer:

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

Step-by-step explanation:

Answer:

MEDIAN = 6

Step-by-step explanation:

FORMULA = (n+1)÷2

Step-by-step explanation:

Given:-

To find:-

Solution:- (Q.1)

\(\sf \: Arithmetic \: mean = \dfrac{Sum \: of \: all \: observation}{No.of \: observations}\\\\\\: \implies \sf \: mean \: = \dfrac{1 + 1 + 1 + 1 + 3 + 3 + 4 + 4 + 4 + 8 + 12}{11}\\\\\\ : \implies \sf \: mean = \dfrac{42}{11} \\\\\\ : \implies \sf \: mean = 3.81\)

Solution:- (Q.2)

\(: \implies \sf \:median = \bigg({\dfrac{n + 1}{2} \bigg)^{th}}\\\\\\ :\implies \sf \:median = \bigg( {\dfrac{11 + 1}{2} \bigg)^{th}}\\\\\\: \implies \sf \:median = \bigg( \dfrac{12}{2} \bigg) ^{th}\\\\\\ : \implies \sf \:median = 6th \: item\\\\\\ : \implies \sf \:median = 3\)

Solution:- (Q.3)

Mode = Number of Maximum times occurring in Observation.

Mode = 1 Because its Occurring most in the Observation.

Solution:- (Q.4):-

Range = Highest - Lowest

⠀⠀⠀⠀= ⠀⠀12 ⠀⠀- ⠀1

⠀⠀⠀⠀= ⠀⠀⠀⠀⠀11

.°. 11 is the Required Range

A. 18, 24, 30 and D. 24, 32, 40 are the side length of the right triangle.

To determine whether a triangle with the given side lengths is a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's examine the given triangles:

Side lengths: 18, 24, 30

To determine if it's a right triangle, we can calculate:

18^2 + 24^2 = 324 + 576 = 900

30^2 = 900

Since the two values are equal, this triangle satisfies the Pythagorean theorem and is a right triangle.

Side lengths: 4, 7, 8

4^2 + 7^2 = 16 + 49 = 65

8^2 = 64

Since the two values are not equal, this triangle does not satisfy the Pythagorean theorem and is not a right triangle.

Side lengths: 15, 35, 40

15^2 + 35^2 = 225 + 1225 = 1450

40^2 = 1600

Since the two values are not equal, this triangle does not satisfy the Pythagorean theorem and is not a right triangle.

Side lengths: 24, 32, 40

24^2 + 32^2 = 576 + 1024 = 1600

40^2 = 1600

The two values are equal, indicating that this triangle satisfies the Pythagorean theorem and is a right triangle.

In summary, out of the four given triangles, triangles with side lengths 18, 24, 30 and 24, 32, 40 are right triangles, while triangles with side lengths 4, 7, 8 and 15, 35, 40 are not right triangles. Therefore, Option A and D is correct.

The question was incomplete. find the full content below:

Determine whether a triangle with the given side lengths is a right triangle. Side lengths

A. 18, 24, 30

B. 4,7,8

C. 15, 35, 40

D. 24, 32, 40

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Answer:

157080

Step-by-step explanation:

There are numerous ways to do this problem. The most naive one would be to type into your calculator the expression 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50+51+52+53+54+55+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70+71+72+73+74+75+76+77+78+79+80+81+82+83+84+85+86+87+88+89+90+91+92+93+94+95+96+97+98+99+100+101+102+103+104+105+106+107+108+109+110+111+112+113+114+115+116+117+118+119+120+121+122+123+124+125+126+127+128+129+130+131+132+133+134+135+136+137+138+139+140+141+142+143+144+145+146+147+148+149+150+151+152+153+154+155+156+157+158+159+160+161+162+163+164+165+166+167+168+169+170+171+172+173+174+175+176+177+178+179+180+181+182+183+184+185+186+187+188+189+190+191+192+193+194+195+196+197+198+199+200+201+202+203+204+205+206+207+208+209+210+211+212+213+214+215+216+217+218+219+220+221+222+223+224+225+226+227+228+229+230+231+232+233+234+235+236+237+238+239+240+241+242+243+244+245+246+247+248+249+250+251+252+253+254+255+256+257+258+259+260+261+262+263+264+265+266+267+268+269+270+271+272+273+274+275+276+277+278+279+280+281+282+283+284+285+286+287+288+289+290+291+292+293+294+295+296+297+298+299+300+301+302+303+304+305+306+307+308+309+310+311+312+313+314+315+316+317+318+319+320+321+322+323+324+325+326+327+328+329+330+331+332+333+334+335+336+337+338+339+340+341+342+343+344+345+346+347+348+349+350+351+352+353+354+355+356+357+358+359+360+361+362+363+364+365+366+367+368+369+370+371+372+373+374+375+376+377+378+379+380+381+382+383+384+385+386+387+388+389+390+391+392+393+394+395+396+397+398+399+400+401+402+403+404+405+406+407+408+409+410+411+412+413+414+415+416+417+418+419+420+421+422+423+424+425+426+427+428+429+430+431+432+433+434+435+436+437+438+439+440+441+442+443+444+445+446+447+448+449+450+451+452+453+454+455+456+457+458+459+460+461+462+463+464+465+466+467+468+469+470+471+472+473+474+475+476+477+478+479+480+481+482+483+484+485+486+487+488+489+490+491+492+493+494+495+496+497+498+499+500+501+502+503+504+505+506+507+508+509+510+511+512+513+514+515+516+517+518+519+520+521+522+523+524+525+526+527+528+529+530+531+532+533+534+535+536+537+538+539+540+541+542+543+544+545+546+547+548+549+550+551+552+553+554+555+556+557+558+559+560 and you will get 157080.

Or, you could prove to yourself, either by adding the numbers to themselves but in reverse, by using mathematical induction, or by using some other technique, that the sum of natural numbers from 1 to n is n(n+1)/2.

Plug in n = 560 and you will get your desired answer.

As a bonus challenge, see if you could figure out the formula for summing up odd natural numbers or even natural numbers up to n. Hint: it's very similar to that of natural numbers up to n.

The sum of the whole numbers from 1 to 560 is 157080.

An arithmetic sequence is a set of numbers in which every number next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

The sum of the whole numbers from 1 to 560 is an arithmetic sequence.

The number of whole numbers is = (560 - 1) + 1 = 560, (As both the first and                                                                                                                

                                                                             the last number are included)

We know the sum of an AP when the first and the last term is given is,

S = (n/2)(a + l).

S = (560/2)(1 + 560).

S = 280×561.

S = 157080.

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The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.

Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.

Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)

At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.

Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)

Combining (1) and (2), we get:

∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.

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Answer:

-15625000x^24

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

Recall SohCahToa, where

\(\displaystyle \tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}\).

In the triangle, the opposite (to angle θ) is \(6\), while the adjacent is \(2\sqrt{5}\).

By substitution:

\(\displaystyle \tan(\theta)=\frac{6}{2\sqrt5}\)

Simplify:

\(\displaystyle \frac{6}{2\sqrt{5} } \cdot\frac{\sqrt{5} }{\sqrt{5}} =\frac{6\sqrt{5}}{2(5)} =\frac{6\sqrt{5}}{10}=\frac{3\sqrt{5} }{5}\)

The answer is C.

The volume (V) of a cylinder is π (r^2) (h). Substituting in the known values, you get V = 3.14 times 64 times 8, which is 1607.68 cubic units.

The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and  \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line:

y = -8x + 6

Using the slope intercept:

Slope m = -8

Since the desired line is parallel, it will have the same slope.

Therefore, the slope of the parallel line is also -8.

Plug in the slope m = -8 and the poin (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

( y - 5) = -8( x - 7 )

Simplify

y - 5 = -8x + 56

y = -8x + 56 + 5

y = -8x + 61

The equation of the parallel line is y = -8x + 61.

For the perpendicular line:

The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.

Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)

Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).

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well, from the picture the new plumbing would be $1640, at least that's what's in budget, now, we know that it's going to cost 35% more than that, hmmm well, how much is 35% of 1640?

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{35\% of 1640}}{\left( \cfrac{35}{100} \right)1640}\implies 574~\hfill \underset{final~plumbing~cost}{\stackrel{1640~~ + ~~574}{\text{\LARGE 2214}}}\)

The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.

From the given table;

The volume of the first gas Layla bought = 3 gallons.

The cost of the 3 gallons = 9.45

Therefore the cost of 1 gallon = ?

That is:

3 gallons = $9.45

1 gallon = X

Make X the subject of formula:

X = 9.45/3 = $3.15

Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.

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Answer:

2.5

Step-by-step explanation:

10/1  * 1/4 = 2.5

Answer:

Biker = 25 mph

Walker = 16⅔ mph

Step-by-step explanation:

Distance = rate × time

If x is the walker's speed and y is the biker's speed, then:

1.5 y − 1.5 x = 12.5

y = 1.5 x

Solve the system of equations.

1.5 y − y = 12.5

0.5 y = 12.5

y = 25

x = 16⅔

Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

Answer:

C

Step-by-step explanation:

Let us rule out the first one. c+11 is not equivalent.

The second one does not work either because it is adding the two terms instead of multiplying.

The last one does not work either because again, it is adding.

C, the third one works. This is because using multiplaction, you can rearrange the order of the terms and still get the same answer.

Therefore, the third one

Hope this helps! :)

Answer:

I think it is C and D

Step-by-step explanation:

!!!!

The amount of space or volume inside the box but outside the basketball is 6589.44 cm³.

We have to find the volume of the box and volume of the basketball to determine the space outside it.

Box is in rectangular shape.

Volume of the box = 24 × 24 × 24

                                = 13824 cm³

Basketball is spherical in shape.

Volume of the sphere = 4/3 π r³

                                     = 4/3 π (12)³

                                     = 2304π

                                     = 7234.56 cm³

Amount of space inside the box but outside the basketball is,

13824 cm³ - 7234.56 cm³ = 6589.44 cm³

Hence the required space is 6589.44 cm³.

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Answer:

-7.225 according to a calculator.

After 99 days, Karen is required to pay $14,436.63 in full, plus $139.63 in interest.

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given, Karen obtains a loan for home renovations from a bank that charges simple interest at an annual rate of 3.6%. Her loan is for $14,300 for 99 days.

From the formula of simple interest(SI) :

SI = P * R *  T / 100

Where p = principal amount

r = rate of interest

T = time

In our case

p = 14300

r = 3.6

time = 99/365

Simple interest = (14300* 3.6 * 99) / 36500

Simple interest = (143 * 3.6 * 99) / 365

Simple interest = 139.63

The total amount she has to pay = principal amount + SI

The total amount she has to pay = 14300 + 136.63

The total amount she has to pay = 14,436.63

therefore, Karen has to pay $139.63 interest and $14,436.63 Total amount after 99 days.

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{3 {i}^{2} + 6i}}}}}\)

Step-by-step explanation:

\( \sf{(2 + i)(i + 2i)}\)

Use the distribute property to multiply each term of the first binomial by each term of the second binomial.

⇒\( \sf{2(i + 2i) + i(i + 2i)}\)

⇒\( \sf{2i + 4i + {i}^{2} + 2 {i}^{2} }\)

Collect like terms

⇒\( \sf{3 {i}^{2} + 6i}\)

Hope I helped!

Best regards!

The amount is an illustration of compound interest and the future amount is $283.81

The given parameters are:

The function of the future amount is given as:

\(A = Pe^{rt}\)

So, we have:

\(A = 200 * e^{5\% * 7}\)

Evaluate

A = 283.81

Hence, the future amount is $283.81

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Answer:

d> -7

Step-by-step explanation:

If his goal is to have more by the end of the month and he did, D would be greater (I also had this question and got it correct.)

The p-values for the observed values of the test statistic are 0.0094, 0.0628, 0.0228, 0.032 and 0.4404.

To calculate the p-value for each observed value of the test statistic, we need to find the area under the standard normal distribution curve to the right of each z-score. This is because the alternative hypothesis is one-tailed, with the inequality sign pointing to the right (i.e., H1: µ > µ0). Here are the steps to calculate the p-value for each observed value:

For z0 = 2.35, the area to the right of the z-score can be found using a standard normal distribution table or calculator. The area is 0.0094, which is the p-value.

For z0 = 1.53, the area to the right of the z-score is 0.0628, which is the p-value.

For z0 = 2.00, the area to the right of the z-score is 0.0228, which is the p-value.

For z0 = 1.85, the area to the right of the z-score is 0.0322, which is the p-value.

For z0 = -0.15, the area to the right of the z-score is 0.5596. However, since the alternative hypothesis is one-tailed with the inequality sign pointing to the right, we need to subtract this area from 1 to get the p-value. Therefore, the p-value is 1 - 0.5596 = 0.4404.

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\(1:27 \\\\=\dfrac 1{27}\\\\= \dfrac{5}{27 \times 5}\\\\=\dfrac{5}{9 \times 3 \times 5}\\\\\\=\dfrac{5}{9} \times \dfrac 1{15}\\\\\\=\dfrac 59 : 15\)

\(\text{Hence the equivalent ratio is} ~ \dfrac 59 : 15\)

Answer:

B

Step-by-step explanation:

This is because 1 is being multiplied by 5/9. and 27 multiplied by 5/9 is 15.

The smallest number that will make it divisible by 11 is n = 2 and the number is A = 7,01,69,302

Given data ,

Let the missing number be represented as n

Now , the value of the original number is A = 7,01,69,30*​

where * represents = n

To make a number divisible by 11, the difference between the sum of the digits in the odd-numbered positions and the sum of the digits in the even-numbered positions must be a multiple of 11.

On simplifying the equation , we get

To make the difference between the sums a multiple of 11, we need to add the smallest digit to the end. The smallest digit is 8

Hence , the number that is divisible by 11 is 7,01,69,302

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