8. The length of the hypotenuse of a right
triangle measures 2.5 inches. If one leg
measures 1.5 inches, what is the length
of the other leg?
​

Step-by-step explanation:

if seven times a number decreased by 4 is less than 27,then find the solution set

The value of percent for 33 1/3% of 75 is 25.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The expression is,

⇒ 33 1/3% of 75

Solve for value as;

⇒ 100/3% × 75

⇒ 100/(3×100)  × 75

⇒ 75/3

⇒ 25

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

When salt is added to water, the boiling point of water is increased. The boiling point elevation depends on the concentration of salt added. The addition of salt increases the boiling point of water.

The extent of the increase in boiling point is directly proportional to the amount of salt added. Boiling point is defined as the temperature at which the vapor pressure of a liquid is equal to the pressure exerted on it by the surrounding atmosphere.

In layman's terms, this means that a liquid boils when its vapor pressure equals atmospheric pressure. Boiling point of a liquid can be increased or decreased by the addition of solutes such as salt.When a solute such as salt is added to water, the boiling point of water increases due to the phenomenon of boiling point elevation.

This is because the solute particles in the water interfere with the formation of water vapor molecules at the surface of the liquid. As a result, more energy is required to boil the water, which means that the boiling point is elevated.

The amount of elevation is directly proportional to the concentration of salt added. In short, the addition of salt to water increases the boiling point of water.

To learn more about boiling point , visit

brainly.com/question/40140

#SPJ11

The system has infinitely many solutions, which can be written as (x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.

To solve the system of equations:

1x + 0y + 60z = 1

1x + 10y + 0z = 0

0x + 0y + 0z = 0

The third equation is an identity, implying that it does not give us any new information. The first two equations can be used to solve for x, y, and z:

From the first equation, we get x = 1 - 60z

From the second equation, we get y = 0 - 10x = -10(1 - 60z) = -10 + 600z

Therefore, the solution to the system can be written as a point in terms of z as:

(x, y, z) = (1 - 60z, -10 + 600z, z)

Since z can take on any value, there are infinitely many solutions to the system, which can be parameterized as:

(x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.

he system has infinitely many solutions, which can be written as (x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.

For more questions like Equation click the link below:

https://brainly.com/question/29657983

#SPJ11

The given expression represents a number whose 5 times is 3 less than 15 which is 12/5.

Given that,
An expression is given we have to discuss what the expression 5p + 3 = 15 implies.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
5p + 3 = 15
5p = 15 - 3
p = 12 / 5

Thus, the given expression represents a number whose 5 times is 3 less than 15 which is 12/5.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ3

Answer:

The number of chairs

Step-by-step explanation:

The equation is 2z + 3

2 ( = multiply by)

z ( # of chairs)

+3 ( the 3 extra chairs in the back)

Answer:

The number of tables

Step-by-step explanation:

Sens there is twice as many chairs as tables, the number 2 represents the chairs. The 3 represents the 3 extra chairs in the back. so the only logical object to represent z is the number of tables.

Answer:

This means that 1cm on the map means 10miles on actual land so is it the same for 30miles

That is 1cm on map 30 cm on land

Answer:

Connor will earn more interest because he is getting compound interest.

Step-by-step explanation:

I have to assume in this case that the interest is 3.5% Per year:

Simple Interest = P(r + t)

{P = Principle, r = interest rate, t = time)

Wendy = $8,300 x (3.5% x 25)

Wendy = $7,262.50 (2 d.p)

Wendy = $8,300 + $7,262.50

Wendy = $15,562.50

Compound Interest = \(P (1 +r )^{t}\)

{P = Principle, r = interest rate, t = time)

Connor = $8,300 x \((1 + 0.035)^{25}\)

Connor = $19,614.93

Wendy's Interest = $15,562.50 - $8,300 = $7,262.50

Connor's interest = $ 19,614.93 - $8,300 = $11,314.93

Connor earned more interest by $4,052.43

___________________________________________________

Hope this helps!

PLEASE MARK AS BRAINLIEST :)

Have a good day :)))))

The two numbers are 3 and 12 when 15 is the result of sum two numbers. One to two are compared in a 4:1 ratio.

Given that,

15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.

We have to find which two numbers are they.

We know that,

Let take x and y to denote the two numbers

We get

x + y = 15   ----->equation(1)

x = 4y        ----->equation(2)

Substitute the 4y in equation(1)

(4y) + y = 15

5y = 15

Divide both sides by 5

y = 3.

Substitute y=3 in equation(2)

x=4(3)

x = 12

Therefore, The two numbers are 3 and 12 when 15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.

To learn more about number visit: https://brainly.com/question/2289438

#SPJ4

Answer:

You have to add all sides. If it asks the area then you have to multiply. But in this situation is adding.

Step-by-step explanation:

6 cm + 4 cm + 4 cm + 6.5 cm + 9.5 cm is = 30

so the answer is "30"

The different results between the online survey and telephone responses regarding the continuation of the Mardi Gras Parade may be influenced by factors such as the demographic differences of the respondents, selection bias in survey participation, and variations in survey wording and question framing.

The different results between the online survey and telephone responses regarding the continuation of the Mardi Gras Parade in the downtown area could be attributed to several factors.

Firstly, the mode of data collection might have influenced the responses. Online surveys tend to attract a younger and more tech-savvy demographic, while telephone surveys may reach a wider range of participants, including those who are older or less inclined to participate in online activities. The differing demographics of these two groups could lead to variations in their opinions on the parade.

Secondly, there may be a selection bias in the respondents of each survey method. Online surveys rely on voluntary participation, meaning that individuals who have stronger opinions or a vested interest in the parade are more likely to respond. On the other hand, telephone surveys often use random sampling techniques to ensure a more representative sample. The individuals who called in to express their opinions may have different motivations or concerns compared to those who actively sought out an online survey.

Lastly, the survey wording and question framing could also play a role in the disparate results. The wording of the questions may have been phrased differently in the online survey compared to the telephone survey, leading to variations in responses. Additionally, the order in which questions were asked and the context provided could influence participants' perceptions and subsequent responses.

To know more about variations , refer here:

https://brainly.com/question/17287798#

#SPJ11

Answer:

Answer D

Step-by-step explanation:

Multiply them all out. D is 4.04

Answer: D is correct I took the test without having to see the answer just wanted to help u out:)

Step-by-step explanation:

According to the statement the best estimate for the number of bottles collected by Ms. Darby's class is 700.

To estimate the number of plastic bottles that Ms. Darby's class has collected altogether, we can round the numbers to the nearest hundred. Rounded to the nearest hundred, the number of bottles collected is 400 for soda bottles, 200 for water bottles, and 100 for juice bottles. Adding these rounded numbers together gives us an estimate of 700 bottles. However, it's important to note that this is only an estimate and not the exact number of bottles collected. The actual number may be slightly higher or lower than this estimate. Therefore, it's important to use this estimate as a rough idea of the number of bottles collected and not as an exact figure. In conclusion, the best estimate for the number of bottles collected by Ms. Darby's class is 700.

To know more about estimate visit :

https://brainly.com/question/30250563

#SPJ11

No,Sam will not be able to finish the large hamburger if he only bites 20 percent of what is left.

Given that Sam can bite 20% of a hamburger.

We are required to find whether Sam will be able to eat the large hamburger.

Suppose the size of the hamburger be 100 units.

Here the first bite was 20% of the hamburger.

So the remaining portion of the hamburger is 100-(100(20/100))=80 units.

The second bite was 20% of 80%. Again the remaining portion is 80-(80*20/100)=80-16=64 units.

After the third bite the remainig portion is 64-(64*20/100)=64-12.8=51.2 units.

After the fourth bite the remaining portion is 51.2-(51.2*20/100)=51.2-10.24=40.96 units.

Since the criterion is that Sam will bite 20% of what is left , this remaining portion will never be zero.It will always be a fraction like 0.000000000001 and continues.

Hence Sam will not be able to finish the large hamburger if he only bites 20% of what is left.

Learn more about percentage at https://brainly.com/question/24877689

#SPJ4

Answer:

8/17

Step-by-step explanation:

total balls= 9 + 18 + 2 + 5 = 34

balls drawn should NOT be Orange.

so, 34 - 18 (as there are 18 orange balls)

16 balls

probability= 16/34 = 8/17

answer = 8/17

Distribution has a mean that has varies is II the distribution of sample data. The correct "option is A"

Mean refers to the average of a set of values. The mean can be computed in a number of ways including the simple arithmetic mean add up the numbers and divide the total by the number of observations the geometric mean and the harmonic mean. mean can obtained dividing the sum of all values in a data set by the number of values.

Therefore distribution has a mean that has varies is II the distribution of sample data. The correct "option is A"

Learn more about mean here: brainly.com/question/1136789

#SPJ1

The state that has the standard of Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction, and limits dividing decimals to specific cases is not specified in the given question.

The given question does not mention a specific state that has the mentioned standard for decimal operations.

However, this standard aligns with the mathematics curriculum in many states across the United States. It focuses on developing students' understanding of decimal operations and their ability to apply various strategies and models to solve problems involving addition, subtraction, multiplication, and division of decimals.

To meet this standard, students are encouraged to use concrete models or drawings that represent the place value and properties of decimal numbers. They learn to relate these models to written methods, such as the standard algorithm, and explain their reasoning behind the chosen strategies.

The emphasis is on understanding the concepts behind decimal operations, rather than solely relying on rote memorization of procedures.

The standard also specifies that dividing decimals is limited to specific cases, including a whole number dividend with a decimal divisor or a decimal dividend with a whole number divisor.

Students are expected to compare the value of the quotient based on the values of the dividend and divisor, considering the relationship between the two numbers.

By mastering these skills and concepts, students develop a strong foundation in decimal operations, which are essential for real-world applications involving money, measurements, and other quantitative situations.

Learn more about Subtract,

brainly.com/question/13619104

#SPJ11

Answer:

45 in

Step-by-step explanation:

8/30 = 12/x

(30*12)/8 = 360/8

= 45 in

Answer:

thankyou for points

don't waste your points

Answer:

thanks i guess

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the missing side of the rectangle, use Pythagorean:

Find area of rectangle:

Correct choice is A

Answer:

two complex solutions

Step-by-step explanation:

2x^2 + 4x+4

Factor out 2

2( x^2+2x+2)

Using the discriminant on the inner term

b^2 -4ac  where a=1  b=2  c=2

2^2 -4 (1) (2)

4 - 8

-4

Since the  discriminant  is negative, we will have 2 complex solutions

Answer:

  2 complex solutions

Step-by-step explanation:

Given the standard form quadratic ...

  ax^2 +bx +c

The expression b^2-4ac is called the "discriminant." Its value can be used to predict the type of solutions. Here, we have ...

  a=2, b=4, c=4

so the discriminant is ...

  d = b^2 -4ac = 4^2 -4(2)(4) = -16

Because the discriminant is negative, we can predict there are 2 complex solutions.

__

The graph has no x-intercepts, confirming there are 2 complex solutions.

By setting the numerator and denominator equal to each other, we eliminate any potential for additional solutions or asymptotes in the rational equation. Therefore, the equation y = x represents a rational equation with one solution.

To create a rational equation with one solution, we can start with a simple linear equation, such as y = x. We can then turn this equation into a rational equation by dividing both sides by x. This gives us the equation y/x = 1.

To ensure that the rational equation has one solution, we can set the numerator and denominator of the rational function equal to each other. This gives us the equation y = x. This equation represents a rational function where the graph is a straight line passing through the origin with a slope of 1.

Learn more about rational:

https://brainly.com/question/24398433

#SPJ11

Answer:

\({ \tt{f•g(x) = 4(2x + 5) {}^{2} }} \\ = { \tt{4(4 {x}^{2} + 20x + 25)}} \\ = { \tt{ {8x}^{2} + 80x + 100}} \\ \\ { \tt{f•g( - 3) = 8 {( - 3)}^{2} + 80( - 3) + 100 }} \\ { \tt{f•g( - 3) = 72 - 240 + 100}} \\ { \tt{f•g( - 3) = - 68}} \\ \\ \\ { \tt{g•f(x) = 2( {4x}^{2}) + 5 }} \\ { \tt{ = {8x}^{2} + 5 }} \\ { \tt{g•f( - 3) = 8 {( - 3)}^{2} + 5}} \\ { \tt{g•f( - 3) = 77}}\)

70 grams of protein are needed per day by a male non-athlete, weighing 87 kilograms.

87 kg x 0.8 g protein/kg/day

= 69.6 g protein/day,

Rounded up to 70 g/day.

Maximum American adults eat approximately a hundred grams of protein consistent with a day or roughly two times the advocated amount. Even on a vegan weight-reduction plan people can effortlessly get 60 to eighty grams of protein for the duration of the day from foods like beans, legumes, nuts, broccoli, and entire grains.

The encouraged Dietary Allowance (RDA), which is the minimal amount you want to be healthy, is 0.8 grams in line with a kilogram (zero.36 grams consistent with pound) of body weight in keeping with day 46 grams for a median woman.

Learn more about proteins here https://brainly.com/question/10058019

#SPJ4

Answer:

26r^2 + 36r.

Step-by-step explanation:

The expected number of colleges to which the student is admitted .2344

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.

Examples of permutations include arranging persons, digits, numbers, alphabets, letters, and colours. Examples of combinations include choosing the menu, the cuisine, the clothes, the subjects, and the team.

Let X= college to which student is admitted

We are given with n=7 and p=1/6

P(X=2)=⁷P₂\(\frac{1}{6^{2} }(1-\frac{1}{6}) ^{7-2}\)

=.2344

To learn more about permutation visit the link:
https://brainly.com/question/1216161

#SPJ4

The quadratic approximation of f at (10,4) is: 16521.2 + 400x + 1000cos4 (y-4) + 50cos4 (x-10² + 100 cos4 (x-10)(y-4) - 100sin4 (y-4)².

Let f: R 2 →R be defined by f(x,y)=100xy+100exsiny.

Then the value of the quadratic approximation of f at (10,4) can be calculated by using Taylor approximation around the origin.

Given function is: f(x,y)=100xy+100exsiny

We have to find the quadratic approximation of f at (10,4).

The quadratic approximation of f at (10,4) can be calculated as:  

\($f(a,b)+f_{x}(a,b)(x-a)+f_{y}(a,b)(y-b)+\frac{1}{2} f_{xx}(a,b)(x-a)^{2}+f_{xy}(a,b)(x-a)(y-b)+\frac{1}{2}f_{yy}(a,b)(y-b)^{2}$\)

Now we can find the partial derivatives of f(x,y).

\($f(x,y)=100xy+100exsiny$f_x = 100y + 100e^x siny$f_y = 100x cos(y) + 0$f_xx = 0$f_yy = -100x sin(y)$f_xy = 100 cos(y)\)

The quadratic approximation of f at (10,4) becomes:

\($f(10,4) + f_{x}(10,4)(x-10) + f_{y}(10,4)(y-4) + \frac{1}{2} f_{xx}(10,4)(x-10)^{2} + f_{xy}(10,4)(x-10)(y-4) + \frac{1}{2} f_{yy}(10,4)(y-4)^{2}$\)

Substituting the partial derivatives and values of f(x,y), we get:

\($\begin{aligned} f(10,4) &= 100 \times 10 \times 4 + 100e^{10} sin 4 \\ &= 4000 + 100e^{10}sin4 \\ f_x (10,4) &= 100 \times 4 + 100e^{10}cos4 \\ &= 400 + 100e^{10}cos4 \\ f_y (10,4) &= 100 \times 10 cos4 + 0 \\ &= 1000cos4 \\ f_{xx} (10,4) &= 0 \\ f_{yy} (10,4) &= -100 \times 10 sin4 \\ &= -400sin4 \\ f_{xy} (10,4) &= 100cos4 \end{aligned}$\)

Putting these values in the above formula we get the quadratic approximation of f at (10,4) is:

16521.2 + 400x + 1000cos4 (y-4) + 50cos4 (x-10)² + 100 cos4 (x-10)(y-4) - 100sin4 (y-4)².

Learn more about quadratic approximation visit:

brainly.com/question/29970288

#SPJ11

Answer:

y axis please set in star then I will tell

Answer:

a'= (10,-9)  b'= (9,0) c'= (1,0) d'= (10,-1)

Step-by-step explanation:

whenever you reflect over the y you change the x