Select which of the following are surds
A) √17 B) √36 C) √100 D) √15 E) √30​

Answers

Answer 1

[tex]\sqrt{17}[/tex], [tex]\sqrt{15}[/tex] and [tex]\sqrt{30}[/tex] are surds among the given options.

According to the question,

We have the following information:

A) √17 B) √36 C) √100 D) √15 E) √30​

Now, among these options we have to find which of them is a surd.

We know that surds are defined as numbers which can not expressed as rational numbers or in the form of p/q where q should not be equal to 0.

In this case, 6 is the perfect square root of [tex]\sqrt{36}[/tex]. So, it can not be classified as a surd.

10 is the perfect square root of [tex]\sqrt{100}[/tex]. So, it can also be expressed as a rational number.

However, among these 5 options [tex]\sqrt{17}[/tex] can not be expressed as a perfect square root of any number. So, it is a surd.

[tex]\sqrt{15}[/tex] and [tex]\sqrt{30}[/tex] also can not be expressed as a rational number.

Hence, the correct options are A, D and E.

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Related Questions

2x = 5y + 8
3x + 2y = 31
Given the above system of equations, what is the value of y?
A. 2
B. 4
C. 6
D. 9​

Answers

Answer:

Y is 2

Step-by-step explanation:

First, Solve the equation for the variable  y

2y = -3x + 31 : y = -3x/2 + 31/2

Plug this in for variable  y  in the equation:

2x - 5•(-3x/2+31/2) = 8

19x/2 = 171/2

19x = 171

Solve first equation for the variable  x

19x = 171

x = 9

now knowing that x=9, you can plug it into either equation to solve for y.

y = -(3/2)(9)+31/2 = 2

I need help with this

Answers

it is upside down sry...

Using the law of sines, determine whether the given information results in one triangle, two triangle or no triangle at all. Solve any triangle that results. a=8angle B = 57 degreeAngle A =49 degree

Answers

step 1

Find out the measure of angle C

Remember that

In any triangle, the sum of the interior angles must be equal to 180 degrees

so

A+B+C=180 degrees

substitute given values

49+57+C=180

C=180-106

C=74 degrees

step 2

Find out the length side b

Applying the law of sines

[tex]\frac{a}{sinA}=\frac{b}{sinB}[/tex]

substitute

[tex]\frac{8}{s\imaginaryI n49^o}=\frac{b}{s\imaginaryI n57^o}[/tex]

Solve for b

[tex]\begin{gathered} b=\frac{8*s\mathrm{i}n57^o}{s\imaginaryI n49^o} \\ \\ b=8.89\text{ ---> rounded to two decimal places} \end{gathered}[/tex]

step 3

Find out the length side c

Applying the law of sines

[tex]\frac{a}{s\imaginaryI nA}=\frac{c}{s\imaginaryI nC}[/tex]

substitute

[tex]\frac{8}{s\imaginaryI n49^o}=\frac{c}{s\imaginaryI n74^o}[/tex]

solve for c

[tex]\begin{gathered} c=\frac{8*s\mathrm{i}n74^o}{s\imaginaryI n49^o} \\ \\ c=10.19\text{ ----> rounded to two decimal places} \end{gathered}[/tex]

therefore

N of triangles is only oneb=8.89c=10.19C=74 degrees

a researcher is conducting an experiment comparing how sleep affects student grades. three different groups are being compared, group 1 sleeps between 2-4 hrs per night, group 2 sleeps between 5-7 hrs per night and group 3 gets over 8 hrs of sleep per night. should the researcher conduct a series of t-tests comparing each group or should one anova be conducted to compare the groups? why?

Answers

One ANOVA must be used to compare the groups as there are more than 2 groups and each group has many data values.

The t test, analysis of variance (ANOVA), and covariance analyses are statistical methods used in the testing of the hypothesis for the comparison of means between the groups (ANCOVA).

The Person's t test is used to compare means between two groups, while an ANOVA is used to compare means among three or more groups. In an ANOVA, first is given a shared P value. For at least one pair where the average difference is statistically significant, the ANOVA test yields a significant P value. To identify the crucial pair, we do several comparisons . Two-way ANOVA employs two category independent variables, whereas one-way ANOVA uses simply one categorized independent variable. when there is at least one predictor variableSimilar to other tests, the null hypothesis and the alternative hypothesis are both categories of hypotheses. The alternative hypothesis suggests that there is a statistically significant difference between the means, in contrast to the null hypothesis, which asserts that there is no statistically significant difference in the means.

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Determine whether the two figures are similar.
Please help me, Thank you ;)

Answers

Answer:

Step-by-step explanation:

The first 2 are similar because the corresponding angles are equal.

The second 2 are also similar as correspond sides are in the same ratio

5/10 = 6/12 = 9/18.

There are 22 Skittles in a bag The ratio of yellow Skittles to purple Skittles is 8 to 3. Use a
table or diagram to find the number of yellow Skittles

Answers

The answer to this is 16

Calculate the rise and run to find the slope of each line! Please help me!!!

Answers

Answer:

m = - ( 1 / 4 )

Step-by-step explanation:

Slope is rise over run.

y = mx + c;

m = ( Δy / Δx );

They give us two points (-4, 3) and (4, 1).

The change is the difference.

Δy = 3 - 1 = 2;

Δx = -4 - 4 = -8;

m = ( 2 / -8 );

m = -( 1 / 4 );

Negative Quarter

30+3x=6x
Can someone help me with this pls

Answers

Answer: X=10

Step-by-step explanation:

Write an equation in slope-intercept form for the line that contains the point
(5,-3)and is parallel to the line y = 4x +2

Answers

The equation for the line that contains the point (5,-3)and is parallel to the line y = 4x +2 is obtained using the point-slope form of the line as y=4x-23.

How can a line that passes through a point be found to be parallel to another line?

Use the point's coordinates for (a, b) in the point-slope form to get a line that passes through the point and is parallel to a line: y - b= m (x -a). Simply enter the slope of the previous line for m.

A point (5,-3) and a line y = 4x +2 are given.

Find the slope of the given equation of the line.

On comparison of the given equation of the line with the standard equation of the line, y=mx+c

m=4

Plug the given point and the slope in the point-slope form of the line.

y-(-3)=4(x -5)

y+3=4x-20

y=4x-23

So, the required equation of the line is y=4x-23

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Element X decays radioactively with a half life of 13 minutes. If there are 430 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 6 grams?
[tex]y=a(.5)^\frac{t}{h}[/tex]

Answers

It will take 80.63 minutes for the element X to decay to 6 grams.

What is substitution method?

Find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

Element X decays radioactively with a half life of 13 minutes.

There are 430 grams of Element X.

Since, The half life formula to solve the problem is;

[tex]A = a (0.5)^{\frac{t}{h}[/tex]

Where, A is final amount, a is initial amount, t is time and h is half life.

Now, We have;

A = 6, a = 430, h = 13

Substitute in above equation we get;

[tex]6 = 430 (0.5)^{\frac{t}{13} }[/tex]

Solve for t as;

Divide by 430,

[tex]\frac{6}{430} = (0.5)^{\frac{t}{13} }[/tex]

[tex]\frac{3}{215} = (0.5)^{\frac{t}{13} }[/tex]

Take log both side;

[tex]ln\frac{3}{215} = ln(0.5)^{\frac{t}{13} }[/tex]

[tex]ln 3 - ln 215 =\frac{t}{13} ln(0.5)[/tex]

Substitute values of all the log as;

1.09 - 5.37 = t / 13 (-0.69)

- 4.28 = t/ 13 (-0.69)

13 x 4.28 = 0.69t

55.64 = 0.69t

t = 55.64 / 0.69

t = 80.63

Thus, It will take 80.63 minutes for the element X to decay to 6 grams.

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Daniyar paid his April FlashCard bill in full. His May bill shows an average daily balance of $270.31 and a monthly periodic rate of 1.65%. What is the finance charge on Daniyar's May statement?

Answers

The finance charge would be the amount of $4.46 on Daniyar's May statement.

What is the finance charge?

The finance charge is the multiplication of the average daily balance and the monthly periodic rate.

The finance charge = average daily balance ×  monthly periodic rate

The bill shows an average daily balance of $270.31 and a monthly periodic rate of 1.65%.

The finance charge = $270.31 × 1.65%

The finance charge  = $270.31 × 0.0165

Apply the multiplication operation to get,

The finance charge  = $4.460115

Round the nearest to the hundredth,

The finance charge  = $4.46

Hence, the finance charge would be the amount of $4.46 on Daniyar's May statement.

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What does the following histogram tell us about the scores on the Unit 1 Exam?
A most students scored 95% on the exam.
B The mean of all the scores was 70%
C most students scored in the 80-90 range
D the highest score on the exam was 100

Answers

The frequency counts of values for the various levels of a nominal or categorical variable are displayed in bar charts. Bar graphs can also display additional statistics, including percentages. A sample bar chart for survey response data

Explain about bar chart?

When you have at least one category or discrete variable, use bar charts to compare categories. Longer bars denote greater values, and each bar represents a summary value for one discrete level. Counts, sums, averages, and standard deviations are a few examples of summary values. Bar graphs are another name for bar charts.

A bar graph is a visual tool that employs bars to compare data between categories. It is sometimes referred to as a bar chart or bar diagram. A bar graph can be vertically or horizontally oriented. It's crucial to understand that a bar's value increases with length.

Most students scored in the 80-90 range

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A pilot takes a taxi from the airport to a hotel. The taxi driver charges a $4.50 initial charge plus $1.65 per mile. Write an equation that can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?

Answers

Answer:

y = 1.65x + 4.50

Step-by-step explanation:

We can create a linear equation using the variables given to us to represent this situation.

Linear Equations

Most linear equations are written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.

In context, slope is the cost per mile. That is because the number of miles in the variable in this equation and the cost per mile is the rate at which the variable increases. The y-intercept is the initial charge. That is because the total cost starts a $4.50, even if you haven't gone anywhere yet. Additionally, the initial cost does not change at any point, so it should be a constant.

So, now we can plug the values into slope-intercept form to create a linear equation. (Remember m = 1.65 and b = 4.50)

y =  1.65x + 4.50

Solving the Equation

Now that we set up the equation we can solve for y, at different x-values. This means, given the number of miles, we can find the total cost of the trip. We can do this by substituting x-values into the equation.

For example, let's say that a pilot took a 4-mile taxi ride.

First, plug 4 in for x.

y =  1.65(4) + 4.50

Then, simplify.

y = 6.6 + 4.50

Finally, add the terms together.

y = 11.1

This means if a pilot takes a 4-mile taxi ride, then it will cost $11.10.

A student needs at least seven hours of sleep each night. The student goes to bed at 11:00pm and wakes up before 6:30am. Is the student getting enough sleep? Write an inequality for the number of hours of sleep the students gets each night

Answers

The student is getting enough sleep because the student is sleeping for 7 hours 30 minutes. The inequality for the number of hours of sleep is x ≥ 7 hours.

What is the inequality?

For the student to be getting enough sleep, the student has to sleep for greater than 7 hours. The first step is to determine the number of hours slept.

In order to determine the time the student spent sleeping, subtract the time he slept from the time he woke up. Subtraction is the process that is sued to determine the difference between two or more numbers.

The sign that represents subtraction is -. In this case, 6 : 30am - 11 : 00pm = 7 hours 30 minutes. The sign to use is ≥ because the student can sleep for 7 hours or greater.

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The student is getting enough sleep.

The inequality that represents the number of hours a student should sleep each night is s ≥ 7 hours.

What is the inequality?

In order to determine if the student is getting enough sleep, we have to determine the total hours between 11:00pm and 6:30am. The total hours between 11:00pm and 6:30am is 7 hours 30 minutes.  7 hours 30 minutes is greater than 7 hours. Thus, the student is getting enough sleep.

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The sign that would be used is, ≥ , the greater than or equal to sign

The total hours slept ≥ 7 hours

s ≥  7 hours

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(Solving Two-Step Equations MC)

Solve the equation for v.

v over 6 minus 3 equals negative 11

v = 24
v = 63
v = −48
v = −84

Answers

Solving the equation, v/6 - 3 = -11, for v, the value of v = -48.

How to Solve an Equation?

To solve a given equation, we are required to find the value of the variable in the equation that would make the equation true.

To solve for the variable in an equation, we would need to apply the right properties of equality in other to isolate the variable towards one side of the equation to get the value of the variable.

Given the equation, v/6 - 3 = -11:

v/6 - 3 = -11

Add 3 to both sides

v/6 - 3 + 3 = -11 + 3 [addition property of equality]

v/6 = -8

Multiply both sides by 6

v/6 × 6 = -8 × 6 [multiplication property of equality]

v = -48

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Solve for d.

d
3
+ 23
= 28

Answers

Answer:

what ?????? any more information about solving for d

What’s the value of x
(9x-8) (x+10) (x+2)

Answers

Answer:

-1440

Step-by-step explanation:

because mi don't know

X=5.93 I’m pretty positive but check my work

Find the following measures:

FE=?
CF=?
CE=?
GD=?

m < CED= ?
m < CFE= ?
m < CDF= ?
m < DGE= ?


PLEASE HELP ME FIND THE MEASURE ITS URGENT

Answers

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.

What are a parallelogram's  characteristics?

Parallelograms' characteristics

Congruent sides are those when AB = DC.Congruent opposite angels are D = B.(A + D = 180°) Consecutive angles are supplementary.All angles are correct if just one of them is.A parallelogram's diagonals cut each other in half.

A quadrilateral is referred to as a parallelogram in geometry.

The opposite sides of a parallelogram are parallel and of equal length. Rhombus, rectangle, and square are a few instances of parallelograms.

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Help me quick please!

Answers

Answer:

[tex]-3x^{2} +7x- 4[/tex]

Step-by-step explanation:

use the FOIL method by multiplying: first, outer, inner, last

(4 - 3x)(x - 1)

[tex]4x - 4 -3x^{2} +3x[/tex]

combine x terms:

[tex]- 4 -3x^{2} +7x[/tex]

rearrange terms:

[tex]-3x^{2} +7x- 4[/tex]

Find the equation of the line that is perpendicular to the line y=x-9
and passes through the point (-7,1)
. Write the equation in point-slope form.

Answers

The equation of a line perpendicular to  y = x - 9 and passes through (-7, 1) is y = - x - 6

How to find the equation of a line?

The equation of a line can be represented in a point slope form as follows:

y - y₁ = m(x - x₁)

where

m = slopex₁ and y₁ are the coordinates

Therefore, the line is perpendicular to  y = x - 9 and passes through (-7, 1).

Perpendicular lines follows the rule:

m₁ m₂ = -1

1m₂ = -1

m₂ = -1

Hence, let's find the y-intercept of the equation of the lines using (-7, 1)

y = - x + b

1 = - (-7) + b

1 = 7 + b

1 - 7 = b

b = -6

Therefore, the equation of the line is y = - x - 6

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A group of 50 people were asked their gender and if they liked cats. The data from the survey are shown in the Venn diagram.

Determine the value for each variable in the two-way table.

a =

b =

c =

d =

e =

Answers

From the information given in the Venn Diagram and the attached table,

a = 13

b = 28

c = 6

d = 22

e = 31

See the calculation below.

What is a Venn Diagram?

A Venn diagram is a famous diagram form that depicts the logical relationship between sets. It was popularized by John Venn in the 1880s.

The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach introductory set theory and to show simple set connections.

With regard to the above calculation, the key to unlocking other unknowns is to first solve for E.

The last row gives the total for each column. Hence, adding 15 + 16 gives us the value of e.

15 + 16 = 31 This can also be arrived at by 50-19 = 31

The Venn diagram reads that 6 Males like cats Hence,

c= 6
d = 6 +16 = 22
a = 19-6 = 13
b = 50 -22 = 28

Hence, a = 13, b = 28, c = 6, d = 22, e = 31

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Answer:

From the information given in the Venn Diagram and the attached table,a = 13b = 28c = 6d = 22e = 31

Step-by-step explanation:

From the information given in the Venn Diagram and the attached table,a = 13b = 28c = 6d = 22e = 31

How much is the sales tax?
Price $24.95
Tax 7%
price x.0%= tax

Show Work!

Answers

Therefore the sales tax is $ 1.7465.

A percentage is what?

Another approach to express fractions is in percentages, where the denominator is 100. (percent). 'Percent' literally means 'out of 100. For instance, 20% denotes one out of every five because five twenty-dollar bills can fit in a hundred. A percentage can occasionally be expressed as a decimal, with 100% being the same as 1. As an illustration, 0.68 is equal to 68%.

Given:

Price $24.95

Tax 7%

Therefore 7% of  $24.95

= $  7/100 x 24.95

= $ 1.7465

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HELP RIGNT NOW ASAP GIVING BRAINLY PLUS 15 points

Answers

Answer:

ITS THE ONE RIGTH AFTER THE QUESTION AKA THE SECOND PHOTO YOU SENT I SEARCHED IT UP FOR YOU

A grocer wants to mix two kinds of coffee. One kind sells for $1.20 per pound, and the other sells for $2.35 per pound. He wants to mix a total of 24 pounds and sell it for$1.65 per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)

Answers

Let be "x" the amount of coffee that is sold for $1.20 per pound (in pounds) that the grocer should use in the new mix and "y" the other kind of coffee that is sold for $2.35 per pound (in pounds) that the grocer should use in the new mix

Using the information given in the exercise, you can set up the following System of equations:

[tex]\begin{cases}x+y=24 \\ 1.20x+2.35y=24\cdot1.65\end{cases}[/tex]

Simplifying, you get:

[tex]\begin{cases}x+y=24 \\ 1.20x+2.35y=39.6\end{cases}[/tex]

You can solve the system as follows:

1. Multiply the first equation by -1.20.

2. Add the equations.

3. Solve for "y".

Then:

[tex]\begin{gathered} \begin{cases}-1.20x-1.20y=-28.8 \\ 1.20x+2.35y=39.6\end{cases} \\ ------------- \\ 1.15y=10.8 \\ y=9.39 \end{gathered}[/tex]

4. Substitute the value of "y" into the first equation.

5. Solve for "x".

Then:

[tex]\begin{gathered} x+9.39=24 \\ x=24-9.39 \\ x\approx14.61 \end{gathered}[/tex]

Therefore, the answer is: About 14.61 pounds of the kind of coffee that is sold for $1.20 and about 9.39 pounds of the other kind of coffee that is sold for $2.35 per pound.

Which equation written below in vertex form is equivalent to the equation?

Answers

First, consider that a quadratic equation in vertex form is given by:

[tex]y=a(x-h)^2+k[/tex]

where a is the leading coefficient and (h,k) is the vertex of the curve.

You have the following equation:

[tex]y=x^2-6x+12[/tex]

In this case, the leading coefficient is a = 1.

The vertex is determined as follow:

Use the following formula to find h:

[tex]h=-\frac{b}{2a}=-\frac{-6}{2(1)}=3[/tex]

where we have used b = -6.

Now, to find k use:

[tex]f(h)=(3)^2-6(3)+12=9-18+12=3[/tex]

Then, h = 3 and k = 3.

By replacing the values of a, h and k, you obtain:

[tex]y=(x-3)^2+3[/tex]

The previous result is the given equation in vertex form.

on the coloring sheet, find a ratio that is equivalent to 4/11

Answers

The equivalent ratio to 4/11 is 12 : 33

The equivalent ratio is what?

Two ratios are considered to be equivalent when we compare them.

Equivalent ratios are two ratios with the same value. By multiplying or dividing the two amounts by the same number, you may determine the corresponding ratio.

It is possible to compare two or more ratios to one another to see if they are equal.

The ratios 1:2 and 2:4 are two examples of equivalent ratios.

In this case, multiplying 4 by 3 and 11 by 3 yields the answer 12: 33, which is the same as 4: 11.

As a result, we may state that 12: 33 is the comparable ratio to 4/11.

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1. John and William leave their home traveling in opposite directions on a straight road. John drives20 miles per hour faster than William. After 4 hours they are 240 miles apart. Find both of theirrates.

Answers

we have the following:

John's rate = x mph

William's rate = x -20 mph

[tex]\begin{gathered} v=\frac{d}{t} \\ d=d\cdot t \\ d=x+x-20=2x-20 \\ t=4 \end{gathered}[/tex]

d = d, therefore:

[tex]\begin{gathered} 4\cdot(2x-20)=240 \\ 8x-80=240 \\ 8x=240+80 \\ x=\frac{320}{8} \\ x=40 \end{gathered}[/tex]

John's rate = 40 mph

Willams's rate = 40 - 20 = 20 mph

Write the equation of a line that passes through (3,21) and has a slope of 3

Answers

Answer:

y = 3x + 12

Step-by-step explanation:

so the point slope form of an equation is is y minus y1 = M (x - X1) where why one equals the first point Y value and X1 is the first point x value and M equals the slope . if you substitute your question into this equation you will you will get y - 21 = 3 ( x - 3).

if you want to be fancy haha you can put this into the linear equation form y = mx + b so then you can add 21 to the other side to get y=3(x-3)+21. after that you foil and get y equals 3x - 9 + 21 . simplify and you get why equals 3x + 12

Pic below&;73737 the haheheueu

Answers

Answer:

4.)

Radius: 2.4cm

Diameter: 4.8cm

Circumference: 15.072cm

5.)

Radius: 3.5cm

Diameter: 7cm

Circumference: 21.98cm

6.)

Radius: 7cm

Diameter: 14cm

Circumference: 43.96cm

Step-by-step explanation:

Radius: [tex]d[/tex] ÷ [tex]2[/tex]

Circumference: [tex]d[/tex] × [tex]\pi[/tex] or [tex]2[/tex] × [tex]\pi[/tex] × [tex]r[/tex]

Have a great day <3

Kelly is Reconstructing her expenses for the past 2 weeks. Here are the records of her expensesKelly bank statement says that she an ending balance of $349. What is Kelly starting balance

Answers

Given:

The expenses for the past 2 weeks is as shown in the table

so, the total expenses =

[tex]164+21+113+12+27+55+86=478[/tex]

Kelly bank statement says that she has an ending balance of $349

So, the starting balance = 478 + 349 = 827

So, the answer will be: the starting balance = $827

Other Questions
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