2.16 ÷ 4 hurry its a timed test thank you!​

Answer:

6kilometers ,8 kilometers,10kilometers

Totaling 24 items. Each bowl cost 60 cents, while each plate cost 75 cents. The total cost of the purchase was $15. We need to determine the number of plates the lady bought.

Let's assume the number of plates the lady bought is P.

According to the problem, the number of bowls the lady bought is 24 minus the number of plates, which is 24 - P.

The cost of each bowl is $0.60, so the total cost of the bowls is (24 - P) * $0.60.

The cost of each plate is $0.75, so the total cost of the plates is P * $0.75.

The total cost of the whole purchase is given as $15.

We can set up the equation:

(24 - P) * $0.60 + P * $0.75 = $15

Simplifying the equation:

14.4 - 0.60P + 0.75P = 15

Combining like terms:

0.15P = 0.6

Dividing both sides by 0.15:

P = 0.6 / 0.15

P = 4

Therefore, the lady bought 4 plates.

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In order to identify if the triangles are similar, you first take into account the rect angle of the triangles. Form there you can notice that side ON in the bigger triangle, is similar to the side as RQ in the little one.

So, you calulate the proportion between sides ON and RQ, just as follow:

Then, the proportion of those sides is 2. This proportion must be the same for the other similar sides of both traingles, in order to conclude that the triangle are similar.

Hence, the triangles are similar

The equation of the line that passes through point (-5,3) and perpendicular to y=5x-3 is y = -(1/5)x + 2.

The point-slope formula is expressed as

y - y₁ = m( x - x₁ )

Given the data in the question;

First, determine the slope of the initial line using the slope intercept-form. y = mx + b

y = 5x - 3 compared with the slope intercept form,

Slope m = 5

Now, for the equation of line perpendicular to the initial line, its slope must be a negative reciprocal of the initial slope.

Hence, slope of the perpendicular line is;

Slope m = -1/5

Next, find the equation of the perpendicular line, by using the point slope formula.

y - y₁ = m( x - x₁ )

Plug in the slope m ( -1/5 ) and point (-5,3).

y - y₁ = m( x - x₁ )

y - 3 = -1/5( x - (-5) )

y - 3 = -1/5( x + 5 )

y - 3 = -1/5(x) -5/5

y - 3 = -1/5(x) - 1

y = -1/5(x) - 1 + 3

y = -(1/5)x + 2

Therefore, the equation of the perpendicular line is y = -(1/5)x + 2.

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The number of outcomes in the complement of the event is 163

The statement is given as:

Out of 301 apartments in a complex, 138 are available for rental.

This means that

Apartments = 301

Rental = 138

The complement is calculated as:

Complement = Apartment - Rental

So, we have

Complement = 301 - 138

Evaluate

Complement = 163

Hence, the number of outcomes in the complement of the event is 163

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If the number of people arriving for treatment at an emergency room is modeled by a Poisson process with a mean of 5 people per hour, we can use this information to estimate the expected number of people who will arrive during a 45-minute period.

The Poisson distribution describes the probability of a certain number of events occurring in a fixed interval of time, given the average rate at which the events occur. In this case, the Poisson distribution can be used to estimate the number of people who will arrive during a 45-minute period, given that the mean arrival rate is 5 people per hour.

To calculate the expected number of arrivals, we first need to convert the 45-minute time period into hours. There are 60 minutes in an hour, so 45 minutes is equivalent to 0.75 hours.

Next, we can use the Poisson distribution formula, which is:

P(X = k) = (e^(-λ) * λ^k) / k!

where λ is the mean arrival rate (in this case, 5 people per hour), k is the number of arrivals we are interested in, and e is Euler's number (approximately 2.71828).

Expected number of arrivals = λ * t = 5 * 0.75 = 3.75

Therefore, we can expect approximately 3.75 people to arrive for treatment during a 45-minute period, assuming that the number of arrivals follows a Poisson distribution with a mean of 5 people per hour.

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Step-by-step explanation:

The function f(x)+7 will shift the parent function up 7 units.

The function f(x+7) will shift the parent function to the left 7 units.

The function 7f(x) will stretch vertically by a factor of 7.

The probability that the student will finish her trip in 60 minutes or less is 0.4

To find the probability that the student will finish her trip in 60 minutes or less, we need to find the proportion of the total area under the uniform distribution curve that lies to the left of 60 minutes.

Since the travel time is uniformly distributed between 40 and 90 minutes, the probability density function is

f(x) = 1/(90-40) = 1/50, for 40 ≤ x ≤ 90

The probability of finishing the trip in 60 minutes or less is therefore

P(X ≤ 60) = ∫[40, 60] f(x) dx

= (60-40)/50

Do the arithmetic operations

= 0.4

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Answer:If a polygon is not regular will it have any congruent angles

Step-by-step explanation:

Answer:

ጽሑፉ ለመጀመሪያ ጊዜ የታተመው እ.ኤ.አ. በጥቅምት 24 ቀን 1929 ነው ፣ ጸሐፊው እ.ኤ.አ. በጥቅምት 1928 በኒምሃም ኮሌጅ እና በካምብሪጅ ዩኒቨርሲቲ ሴት ኮሌጆች በጊርተን ኮሌጅ ባቀረቡት ተከታታይ ንግግሮች ላይ የተመሠረተ ነው ፡፡

ሥነ ጽሑፍ በስፋት ማናቸውንም የጽሑፍ ሥራዎች ስብስብ ነው ፣ ግን በተለይ የኪነ-ጥበብ ቅርፅ ተብለው ለተወሰዱ ጽሑፎች ፣ በተለይም ለስነ-ተረት ፣ ለድራማ እና ለቅኔዎች የበለጠ ጠበብ አድርጎ ያገለግላል ፡፡ ከቅርብ ምዕተ-ዓመታት ወዲህ ትርጓሜው እየሰፋ መጥቷል የቃል ሥነ-ጽሑፍን ያካተተ ሲሆን አብዛኛዎቹ የተቀዱ ናቸው ፡፡

Step-by-step explanation:

The trigonometric relations from the triangles are

a) tan A = 5/12

b) sin C = 3/5

c) cos X = 3/5

d) sin Z = 4/5

e) tan Z = 4/3

f) tan X = 12/5

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

a)

The triangle is ΔABC

tan A = opposite side / adjacent side

Substituting the values in the equation , we get

tan A = 10/24

tan A = 5/12

b)

The triangle is ΔABC

sin C = opposite side / hypotenuse

Substituting the values in the equation , we get

sin C = 24/40

sin C = 3/5

c)

The triangle is ΔXYZ

cos X = adjacent side / hypotenuse

Substituting the values in the equation , we get

cos X =21/35

cos X = 3/5

d)

The triangle is ΔXYZ

sin Z = opposite side / hypotenuse

Substituting the values in the equation , we get

sin Z = 32/40

sin Z = 4/5

e)

The triangle is ΔXYZ

tan Z = opposite side / adjacent side

Substituting the values in the equation , we get

tan Z = 28/21

tan Z = 4/3

f)

The triangle is ΔXYZ

tan X = opposite side / adjacent side

Substituting the values in the equation , we get

tan X = 12/5

Hence , the trigonometric relations are solved from the triangles

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Answer:

Step 1, all the exponents are increased by 4

Step-by-step explanation:

The first incorrect step occurred in Step 1, where all the exponents were increased by 4.

This is mathematically incorrect due to exponential rules. When distributing exponents inside parentheses, we have to multiply the existing exponents inside the parentheses by the exponent outside the parentheses.

For example, (x²)³ is not x²⁺³, but rather, x⁽²⁾⁽³⁾.

We multiply the exponents instead of adding them together.

Therefore, the correct Step 1 should multiply all the variables' exponents by 4.

Steps 2 and 3 are correct since we do add the exponents when multiplying exponents with the same base, and we do subtract exponents with the same base when dividing.  

Answer:

5x-10x+100 or a simplified version: -5x+100 where x is the number of shirts

Step-by-step explanation:

5x is for every shirt they have to pay for and it adds to the cost

-10x is for every shirt they sell which decreases the total cost

100 is for the upfront cost of having the shirts professionally designed

hope this helped and if i misunderstood something lmk so i can change it :))

Answer:

14

Step-by-step explanation:

98 ÷ 6 = 14

Answer:

2:30

Step-by-step explanation:

58+32=90

90-60=30

2:30 is the answer

Answer: she will get home at 2:30

Step-by-step explanation:

If you start at 1:32 then take 28 min from 58 then you get 2:00

Finally add 30 yo that and get 2:30.

The values of a, b and c from the given polynomial are a = -1 , b = 2 and, c= -35.

We are given the expression:-

\(x^2+2x-35\)

We know that, the general form of a quadratic expression is :-

\(ax^2+bx+c\)

We can rewrite the given expression as:-

\(-1x^2+2x+(-35)\)

Comparing it with the given equation, we get:-

a = -1 , b = 2 , c= -35

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division (No division operation by a variable).

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Answer:

\(\huge\boxed{\sf Height = 10\ cm}\)

Step-by-step explanation:

Altitude = Height = AD = ?

Base = 8 cm

Area = 40 cm²

\(\rule[225]{225}{2}\)

Area = 1/2 (Base * Height)

40 = 1/2 ( 8 * Height)

40 = 4 * Height

Dividing both sides by 4

40 / 4 = Height

Height = 10 cm

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

Let x be AD.

(8x)/2 = 40

8x = 80

x = 10

AD is 10cm.

In the US, housing prices and consumption generally change in the same direction.

Changes in housing prices can have an impact on consumption patterns in the US. Generally, when housing prices increase, consumption also tends to increase, and when housing prices decrease, consumption tends to decrease as well. This relationship can be attributed to several factors. Firstly, when housing prices rise, homeowners experience an increase in their wealth through home equity.

This increase in wealth can lead to higher consumer confidence and a willingness to spend more on goods and services, thereby boosting consumption. Secondly, rising housing prices can also lead to a "wealth effect" for homeowners. This means that homeowners may feel wealthier and more financially secure, leading them to increase their discretionary spending and overall consumption. Conversely, when housing prices decline, homeowners may experience a decrease in their wealth and financial security.

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The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

Answer:

y=x

Step-by-step explanation:

y1 is -4 and x1 is -4 so I think that's the amswer

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 4700\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &11 \end{cases} \\\\\\ 4700=Pe^{0.04\cdot 11} \implies 4700=Pe^{0.44}\implies \cfrac{4700}{e^{0.44}}=P\implies 3027\approx P\)

One drawback of using focus groups is that focus group members can influence one another. The influence of group dynamics and social pressures within the group can affect individual responses and potentially lead to biased or altered opinions.

Focus groups are a qualitative research method that involves gathering a small group of individuals to participate in a guided discussion on a specific topic. While focus groups have several advantages, such as providing insights into attitudes, perceptions, and motivations, they also have drawbacks.

One of the drawbacks is that focus group members can influence one another. This phenomenon is known as the "group effect" or "groupthink." In a group setting, participants may be influenced by the opinions, perspectives, or dominant voices of others. This can lead to a conformity bias, where individuals alter their own opinions or withhold dissenting views to align with the group consensus. The influence of group dynamics and social pressures can potentially limit the diversity of perspectives and lead to biased or altered responses.

It is essential for researchers and moderators to be aware of this drawback and take steps to mitigate its impact. This may involve carefully managing group dynamics, encouraging individual opinions, providing opportunities for anonymous input, and critically analyzing the data collected to identify and separate individual perspectives from group influences.

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Answer:

y=5/4x+8 Answer Choice D).

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(18-13)/(8-4)

m=5/4

y-y1=m(x-x1)

y-13=5/4(x-4)

y-13=5/4x-20/4

y-13=5/4x-5

y=5/4x-5+13

y=5/4x+8

The largest number of fence post that can possibly be cut from the log is 23.8( nearest tenth)

A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.

For us to know the number of fence post that can be obtained from the log, we need to convert the length of the log into cm

Therefore;

1m = 100cm

16m = 16× 100 = 1600 cm

Therefore the maximum number of fence post that can be obtained is

1600/70 = 160/7

= 23.8 ( nearest tenth)

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The following numbers are converted as a) (AB8)₁₆ + (17)₈ = 2767, b) (-18) - (-14) = 32 and c) 11010110 + 111001 + 1110 = 141

a) Converting (AB8)₁₆ to decimal:

(A)₁₆ = 10

(B)₁₆ = 11

8₁₆ = 8

So, (AB8)₁₆ = 1016² + 1116 + 8 = 2752

Converting (17)₈ to decimal:

1*8 + 7 = 15

Therefore, (AB8)₁₆ + (17)₈ = 2752 + 15 = 2767

b) Converting (35)₆ to decimal:

3*6 + 5 = 23

Therefore, (35)₆ = 23

Subtracting (-18) - (-14) using 2's complement method:

-18 in 2's complement = (1110)₂

-14 in 2's complement = (11110)₂

Adding the two numbers:

(1110)₂ + (11110)₂ = (101000)₂

Converting (101000)₂ to decimal:

1*2⁵ = 32

Therefore, (-18) - (-14) = 32

Adding the binary numbers: 11010110 + 111001 + 1110

11010110

+ 0111001

+ 01110

__________

100001101

Converting (100001101)₂ to decimal:

12⁸ + 12² + 1*2⁰ = 141

Therefore, 11010110 + 111001 + 1110 = 141

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Answer:

130

Step-by-step explanation:

Probability of green:

Number of attempts:  

Expected number of landing on green:

Answer: 130 times

Answer:

option 2

Step-by-step explanation:

√8^2+(22/2)^2=√64+121=√185≈13.6