Need answer ASAP please!! Will give brainliest!

Solve each equation by taking square roots.

1. 6r^2=-108

2. 9p^2-8=-58

Need Answer ASAP Please!! Will Give Brainliest!Solve Each Equation By Taking Square Roots.1. 6r^2=-1082.

Answers

Answer 1

Answer:

  15)  A) {3i√2, -3i√2}

  16)  C) {5i√2/3, -5i√2/3}

Step-by-step explanation:

15)

  [tex]6r^2=-108\\\\r^2=\dfrac{-108}{6}=-18\\\\r=\pm\sqrt{-18}\\\\\boxed{r=\pm3i\sqrt{2}}[/tex]

__

16)

  [tex]9p^2-8=-58\\\\9p^2=-50\qquad\text{add 8}\\\\p^2=-\dfrac{50}{9}\qquad\text{divide by 9}\\\\p=\pm\sqrt{-\dfrac{50}{9}}\qquad\text{take the square root}\\\\\boxed{p=\pm\dfrac{5\sqrt{2}}{3}}[/tex]


Related Questions

A jar is 25 filled with water. If 750 ml more water is poured into the jar, it becomes full. What is the capacity of the jar?

Answers

Answer:

775 ml

Step-by-step explanation:

Answer:

775

Step-by-step explanation:

25 plus 50 equals 75.700 plus 75= 775 ml.


The radius of the circle below intersects the unit circle at ( 3/5 • 4/5 What is the approximate value of e?

Answers

Answer:

12/25

Step-by-step explanation:

multiply the fractions.

multiply the numbers.

This month you earned 8% more than last month write two different expressions to show this

Answers

X is last month, y is this month
Y=x1.08

Answer:

X+8/100x ; X+0.08x

Step-by-step explanation:

Let x = last month's earning

8% =8/100 or 0.08

8/100 of x= 8/100x 008 of x=0.08x

last month + 8/100 of last month:

x+8/100x

last month + 0.08 of last month:

x+0.08x

Those are your two answers. I am sorry if they are wrong. I am not the best at math, but I tried supplying the answers as best as I could.




PLZ HELP
Which system of inequalities is shown in the graph?
A) 2x + 3y ≤ 5 and -3x + 2y < 6
B) 2x + 3y < 5 and -3x + 2y ≤ 6
C) 2x + 3y ≥ 5 and -3x + 2y > 6
D) 2x + 3y > 5 and -3x + 2y ≥ 6

Answers

B) 2x + 3y < 5 and -3x +2y < 6

PLEASE ANSWER ASAP! WILL GIVE ~BRAINLIEST~ ANSWER (IF CORRECT)

Rewrite the expression in the form 9^n

9^7/9^5

Answers

Answer:

a^b/a^c = a^b-c

9^7/9^5=9^7-5

=9^2 ( ANSWER )

Step-by-step explanation:

please mark me BRAINLIEST

Question 15 (5 points)
Find the distance between the points (-1/2,-8) and (-1/2,-2).​

Answers

Answer:

6

Step-by-step explanation:

Since the x coordinates are the same, you only need to find the difference between the y coordinates. -2-(-8)=-2+8=6. Hope this helps!

Identify the sequence as arithmetic, geometric, or neither. Justify your answer by trying to describe the pattern (how are they moving from one number to the next).

1, 1, 2, 6, 24, 120,...

Answers

Answer:

factorials

Step-by-step explanation:

0!=1,1!=1,2!=2,3!=6,4!=24,5!=120,6!=720,...

sequence is n! starting at 0

Sara and Don are considering a $130,000 mortgage for 30 years at 4.8% paid monthly. What is their monthly payment. If they pay the minimum each month what is their total payback of this loan and how much interest will they pay.

Answers

Answer:Monthly payment is $682.06

Step-by-step explanation:

Answer:

The formula to calculate the final cost:

C = 130000 x (1  + (4.8/100)/12)^(30 x 12) = 547116.69

Minimum payment each month:

M = 547116.69/(30 x 12) = 1519.77

Interest they have to pay: 547116.69 - 130000 = 417116.69 dollar

Hope this helps!

:)

a mini dvd has a radius of 4 centimeters. there is a hole in the middle of the mini dvd with a radius of 1 centimeter. what is the area of one side of the mini dvd

Answers

Answer:

Area of one side of mini DVD = 15π or 47.12 cm²

Step-by-step explanation:

The radius of the mini DVD is;r = 4cm.

Area of a circle = πr²

Thus, Area of mini DVD = π × 4² = 16π

Now,we are told the mini DVD has a hole with a radius of 1 cm.

Area of hole = π × 1² = π

To find the area of one side of the mini DVD, we have to subtract the area of the hole from the area of the DVD.

Thus;

Area of one side of mini DVD = 16π - π

= 15π = 47.12 cm²

Which expression is equivalent to (sf)(6)

Answers

Answer:

(st)(6)= s(6) * t(6)

Step-by-step explanation:

(st)(6)

(st)(x)= s(x) * t(x) we multiply it

(st)(6)= s(6) * t(6)

Hope this helps.

5,-5/2,5/4,-5/8 what is the 5th term

Answers

Answer: your answer would be 5/16th :)

Answer:

5/16

Step-by-step explanation:

The common ratio is -5/2 / 5 = -1/2

Xn = 5 × (-1/2)^(n-1)

X5 = 5 × (-1/2)^(5-1)

X5 = 5 × (-1/2)^(4) = 5/16

what is the mean of :20 20 20 22 22 24 26 26 26

Answers

The mean of a set of numbers is the sum divided by the number of terms.

Answer: 22.9

Answer:

YOU ADD AND DIVIDE FOR THE MEAN

Step-by-step explanation:

add 20 + 20 + 20 + 22 + 22 + 24 + 26 + 26 + 26 equaling to = 206

divide by 9 equaling to = 22.88

What is the approximate distance from one corner of the soccer field to the opposite corner? 60 yards, 100 yards. A: 160 yards B: 130 yards C: 126 yards D: 177 yards

Answers

Answer:

117 yards

Step-by-step explanation:

A field is in the shape of a rectangle

The distance from one corner of the field to the opposite corner represent the diagonal of a rectangle

The diagonal of a rectangle is calculated using

D^2= l^2 + w^2

Where,

D=diagonal

L=length=100 yards

W=width=60 yards

D^2= l^2 + w^2

=100^2+60^2

=10,000+3,600

=13,600

D^2=13,600

D=√13,600

=116.62 yards

Approximately

117 yards

Answer:

177 yeard d

Step-by-step explanation:

the approximate distance is 177 yeard

Rearrange the equation so u is the independent variable.
4u+8w=-3u+2w
w= __
Rearrange the equation so m is the independent variable.
-2m - 5n = 7m - 3n

Answers

Answer:

w = 7u/6

u = 6w/7

m = 2n/-9

n = -9m/2

Step-by-step explanation:

4u + 8w = -3u + 2w

4u - 4u +8w = -3u - 4u +2w

8w -2w = -7u + 2w - 2w

6w = -7u

w = 7u/6

u = 6w/7

AND

-2m - 5n = 7m - 3n

-2m -7m -5n = 7m -7m -3n

-9m -5n +5n = -3n +5n

-9m = 2n

m = 2n/-9

n = -9m/2

Use the given values of n and p to find the minimum usual value μ - 2σ and the maximum usual value μ + 2σ.


n = 2136, p = 3/7


Answers:

1. Minimum: 843.1; maximum: 987.75

2. Minimum: 961.17; maximum: 869.69

3. Minimum: 892.56; maximum: 938.3

4. Minimum: 869.69; maximum: 961.17

Answers

Answer:

[tex] \mu -2\sigma = 915.428 - 2* 22.87=869.69[/tex]

[tex] \mu +2\sigma = 915.428 + 2* 22.87=961.17[/tex]

And the best option would be:

4. Minimum: 869.69; maximum: 961.17

Step-by-step explanation:

We can assume that the variable of interst X is distributed with a binomial distribution and we can use the normal approximation.

For this case the mean would be given by:

[tex] E(X) = np = 2136 *(\frac{3}{7})= 915.428[/tex]

And the standard deviation would be:

[tex] \sigma = \sqrt{2136*(\frac{3}{7}) (1-\frac{3}{7})} =22.87[/tex]

And if we find the limits we got:

[tex] \mu -2\sigma = 915.428 - 2* 22.87=869.69[/tex]

[tex] \mu +2\sigma = 915.428 + 2* 22.87=961.17[/tex]

And the best option would be:

4. Minimum: 869.69; maximum: 961.17

PLS HELP ASAP twenty points Find the value of c such that the expression is a perfect square trinomial.
x^2-14x+c

Answers

Answer:

49

Step-by-step explanation:

x^2-14x+c

Take the coefficient of x

-14

Divide by 2

-14/2 = -7

Square it

(-7)^2

49

This is the number you add

Find the surface area of the pyramid. The side lengths of the base are equal.
17 cm
12 cm
These are
square centimeters.​

Answers

Answer:

The answer is 204 square cm.

Step-by-step explanation:

You are asking for the surface area, and while calculating the surface area you will multiply the quantities.

Surface Areas: 17 cm multiply 12 cm

17 X 12 = 204

The answer is 204 sq. cm

Answer:

204

Step-by-step explanation:

Raj builds a side table in the shape of a cube. Each edge of the cube measures 30inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 6inches. How many tiles will we need?

Answers

Answer:

deportation

Step-by-step explanation:

deport raj

need math help please!!

Answers

Answer:

  3

Step-by-step explanation:

That BD is a bisector means the angles on either side of it are congruent.

  9x = 8x +3

  x = 3 . . . . . . . subtract 8x

The value of x is 3.

The following options are available for a car wash

Standard wash £8
Deluxe wash £12

In one day 60 customers have their car washed. The ratio of customers choosing the standard car wash to those choosing the deluxe car wash is 3:2

What is the total takings at the car wash for the day?

Answers

Answer:

£576

(would really, reallly appreciate the brainliest)

Step-by-step explanation:

8 * 60 * 3/5 + 12 * 60 * 2/5

The length of a box is 18 cm. How long is the box

Answers

Answer: 18 cm

Step-by-step explanation:

Length means the same thing as “long” so whatever the length is, that’s how long it is. In this case, 18 cm is the length, so that’s how long it is.

The class of 2004 holds a reunion each year. In 2005, 87.5% of the 120 graduates attended. In 2006, 90 students went, and in 2007, 75 students went. About how many students do you predict went to the reunion in 2010

Answers

Answer:

15 students

Step-by-step explanation:

% of students attended reunion in 2005 = 87.5% of 120

no of students attended reunion in 2005 = 87.5/100  * 120 = 105.

no of students attended reunion in 2006 = 90

no of students attended reunion in 2007 = 75

So , the series for the given year is

105, 90, 75

we can see that this arithmetical progression series

in  arithmetical progression series

common difference is = nth term - (n-1)th term

lets takes 3rd and second term as  nth term and (n-1)th term

common difference(d) is =75 - 90 = -15

n th term for any arithmetical progression series is given by

nth term = a + (n-1) d

where a is the first term

n is the nth term

d is the common difference

we have to calculate number of students in reunion of of 2010

as reunion began from 2005

2005,2006,2007,2008,2009,2010

so, 2010 is 6th term in series of 105, 90, 75....

6th term =  a + (n-1) d

a is 90

6th term =  90+ (6-1)* -15

6th term =  90+ (5)* -15 = 90 - 75 = 15.

Thus, 15 students will attend reunion of 2010

Use the definition of continuity and the properties of limits to show that the function

f(x) = x2 + 5(x - 2)7 is continuous at x = 3.

Answers

Answer:

Applied the definition and the limit.

They had the same result, so the function is continuous.

Step-by-step explanation:

At function f(x) is continuous at x = a if:

[tex]\lim_{x \to a} f(x) = f(a)[/tex]

In this question:

[tex]f(x) = x^{2} + 5(x-2)^{7}[/tex]

At x = 3.

[tex]\lim_{x \to 3} x^{2} + 5(x-2)^{7} = 3^{2} + 5(3-2)^{7} = 14[/tex]

[tex]f(3) = 3^{2} + 5(3-2)^{7} = 14[/tex]

Since [tex]\lim_{x \to 3} f(x) = f(3)[/tex], f(x) is continuous at x = 3.

The Community College Survey of Student Engagement reports that 46% of the students surveyed rarely or never use peer or other tutoring resources. Suppose that in reality 40% of community college students never use tutoring services available at their college. In a simulation, we select random samples from a population in which 40% do not use tutoring. For each sample, we calculate the proportion who do not use tutoring. If we randomly sample 100 students from this population, the standard error is approximately 5%. Would it be unusual to see 46% who do not use tutoring in a random sample of 100 students?a) Yes, this would be unusual because 46% is more than one standard error from the mean. It is very rare for a sample to be more than one standard error from mean. b) Yes, this would be unusual because 46% is 6% higher than 40%. c) No, this would not be unusual because the error is only 6%. d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.

Answers

Answer:

d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If the z-score is higher than 2 or lower than -2, X is unusual.

In this question:

Mean = 40%. So [tex]\mu = 0.4[/tex]

Standard error = 5%. So [tex]\sigma = 0.05[/tex]

Is 46% unusual?

We have to find Z when X = 0.46. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.46 - 0.4}{0.05}[/tex]

[tex]Z = 1.2[/tex]

1.2 is lower than 2, that is, it is only 1.2 standard deviations from the mean.  So 46% is not unusual.

So the correct answer is:

d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.


£20 is divided between Caroline, Sarah & Gavyn so that Caroline gets twice as much as Sarah, and Sarah gets three times as much as Gavyn. How much does Caroline get?

Answers

Answer:

Caroline gets £12

Step-by-step explanation:

Let Caroline share be x

Let Sarah share be y

Let gavyn share be z

X = 2y

Y = 3z

X+ y + z = 20

X = 6z

Y = 3z

6z + 3z +z = 20

10z= 20

Z= 2

Y = 3z

Y= 3*2

Y= 6

X= 6z

X= 6*2

X= 12

Caroline gets £12

A bakery sold 100 mocha cupcakes in a day, which was 20% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?

Answers

Answer:

500

Step-by-step explanation:

percentage is the quantitative way to express number of things out of 100 things.

For example : 20% of bananas are ripe.

it means that if there are 100 apples, 20 are ripe.

Let the  total number of cupcakes sold that day be X

20% of total number of cupcakes sold = 20% of X = (20/100) * X __1

It is given that 20% of total number of cupcakes sold is equal to 100

Thus the equation 1 should be equal to 100.

Writing it mathematically we have

(20/100) * X = 100

=> 0.2X = 100

=> X = 100/0.2 = 500

500  cupcakes did the bakery sell that day.

to find the average of a set of numbers, add up all the items and divide by?

Answers

Answer:

you add up all of the items and then divide by the total number of items.

Step-by-step explanation:

For example,

Total/Number of Items = Average

Set: 1,6,4,5

(1+6+4+5)/4

16/4 = 4

4 is the average of the items above.

Good luck!!

The Scale on a map shows that 200 is represented by 5 inches on a map .Which proportion can be used to find the distance on the map x, that represents 50 miles? A.) 5/200 = X/50 B.)200/5 = X/50 C.) 50/200 = 5/X D.)5/50 = X/200

Answers

Answer:

a

Step-by-step explanation:

just keep the miles on bottom and the inches on top

mary had 1 3/4 pound of blackberries. Mary's friend ate 3/4 of the blackberries. How many pounds of blackberries did Mary friend eat?

Answers

Answer:

Shown in the explanation below,

Step-by-step explanation

Mary had 1 3/4 pounds

Mary friend eat 3/4 blackberry which is

3/4. × 7/4 = 21/ 16 = 1 5/16

A total of 484 tickets we’re sold for the school play. They Either adult or student tickets. There were 66 Fewer student tickets sold than adult tickets . How many adult tickets were sold?

Answers

Answer:

x + 61 = 411

Step-by-step explanation:

Let x = the number of adult tickets sold

Let x + 61 = the number of student tickets sold

x + x + 61 = 761

2x = 700

x = 350

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