How many mL of a 10% magnesium sulfate solution will contain 14 grams of magnesium sulfate?

Answer:

Step-by-step explanation:

(n-1)1.1

Answer:

[tex]x = 2[/tex]

[tex]S_n = 63[/tex]

Step-by-step explanation:

Given

[tex]a_1 = x + 1[/tex]

[tex]a_2 = 4x -2[/tex]

[tex]a_3 = 6x -3[/tex]

[tex]a_n = 18[/tex]

Solving (a): x

To do this, we make use of common difference (d)

[tex]d = a_2 - a_1[/tex]

[tex]d = a_3 - a_2[/tex]

So, we have:

[tex]a_3 - a_2 = a_2 - a_1[/tex]

Substitute known values

[tex](6x - 3) - (4x - 2) = (4x - 2) - (x + 1)[/tex]

Remove brackets

[tex]6x - 3 - 4x + 2 = 4x - 2 - x - 1[/tex]

Collect like terms

[tex]6x - 4x- 3 + 2 = 4x - x- 2 - 1[/tex]

[tex]2x- 1 = 3x- 3[/tex]

Collect like terms

[tex]2x - 3x = 1 - 3[/tex]

[tex]-x = -2[/tex]

[tex]x = 2[/tex]

Solving (b): Sum of progression

First, we calculate the first term

[tex]a_1 = x + 1[/tex]

[tex]a_1 = 2 + 1 = 3[/tex]

Next, calculate d

[tex]d = a_2 - a_1[/tex]

[tex]d = (4x - 2) - (x +1)[/tex]

[tex]d = (4*2 - 2) - (2 +1)[/tex]

[tex]d = 6 - 3 = 3[/tex]

Next, we calculate n using:

[tex]a_n = a + (n - 1)d[/tex]

Where:

[tex]a_n = 18[/tex]

[tex]d = 3; a = 3[/tex]

So:

[tex]18 = 3 +(n - 1) * 3[/tex]

Subtract 3 from both sides

[tex]15 = (n - 1) * 3[/tex]

Divide both sides by 3

[tex]5 = n - 1[/tex]

Add 1 to both sides

[tex]6 = n[/tex]

[tex]n = 6[/tex]

The sum of the progression is:

[tex]S_n = \frac{n}{2} * [a + a_n][/tex]

So,, we have:

[tex]S_n = \frac{6}{2} * [3 + 18][/tex]

[tex]S_n = 3 * 21[/tex]

[tex]S_n = 63[/tex]

Answer:

x=20.938

Step-by-step explanation:

-2.053748911 = (x - 21)/.03

x=20.938

9514 1404 393

Answer:

  B) False

Step-by-step explanation:

Triangles are similar when their angles are the same measures. Because the angles sum to 180°, we only need to show that 2 angles of one triangle are equal to 2 angles of the other triangle.

All three of the angles of the first triangle are given: 20°, 40°, 120°.

One of the angles of the second triangle matches: 40°; but the other angle (80°) doesn't match either of 20° or 120°.

The angles aren't the same, so the triangles are not similar.

__

If we want to go to the trouble, we can figure the third angle of the second triangle. It is 180° -40° -80° = 60°.

Then the angles in the two triangles, listed smallest to largest, are ...

  20°, 40°, 120°

  40°, 60°, 80°

It is clear the angles of these triangles are not the same.

Answer:

A

Step-by-step explanation:

Answer:

(-4,-3)

Step-by-step explanation:

When a point (x,y) is reflected over the x-axis, you take the opposite so it becomes (x,-y).

(-4,3) --> (-4,-3)

9514 1404 393

Answer:

  C.  8

Step-by-step explanation:

The median from vertex B is the line segment between there and the midpoint of side AC. That midpoint is ...

  D = (A +C)/2 = ((-6, 7) +(-2, -9))/2 = (-8, -2)/2 = (-4, -1)

So, we want the length of the line between (-4, -1) and (4, -1). These points are on the same horizontal line (y=-1), so the length is the difference of the x=coordinates:

  median AD = 4 -(-4) = 8 . . . . units in length

Answer:

w = 124/15 = 8 4/15

Step-by-step explanation:

[tex]-\frac{7}{3}+\frac{1}{2}w=-\frac{9}{5}\\\\\frac{1}{2}w=\frac{62}{15}\\\\w=\frac{124}{15}=8\frac{4}{15}[/tex]

Answer:

Angle T is congruent to Angle Z

Step-by-step explanation:

Since the 2 triangles are equal, that means that each pair of angles are also congruent. To know which angles are congruent, you check th order of how the triangles are named. Ex. Angle Q is congruent to Angle A, Angle P is congruent to Angle R, and Angle T is congruent to Angle Z.

Answer:

6/25  or 24%

Step-by-step explanation:

Answer:

6/25, 0.24, or 24% chance

Step-by-step explanation:

Hi there!

We're given that:

⇒ There are 25 peanut candies in total

⇒ 6 out of the 25 candies are blue

To find the probability of randomly choosing a blue candy from the bowl, divide 6 by 25:

6/25 = 0.24 = 24%

I hope this helps!

Answer:

i. ans in picture

ii. ans in picture

iii. ans in picture

iv. 19

v. 38

Step-by-step explanation:

i. working in picture

ii. working in picture

iii. working in picture

iv.

180-90=90

90=2x+7+45=2x+52

2x=90-52=38

x=19

v.

angle COD=3x+10

180-3x+10-2x

180+10=2x+3x

190=5x

x=38

Answer:

Step-by-step explanation:

Apply the following triangle laws:

The sum of the angles of a triangle will always be 180 degrees.

Answer:

Step-by-step explanation:

hello!

(l*L *h)/3 =

(4*11* 9)/3 => 132 km³

Answer:

( I × L × H ) / 3

( 4 × 9 × 11 × ) / 3

396/3

132

I HOPE IT IS HELPFUL

Answer:

The p-value is larger than the significance level, which means that there is not enough evidence to conclude that the social support level for abused women is different of the social support level for non abused women.

Step-by-step explanation:

The researchers examined levels of social support for abused versus non abused women.

At the null hypothesis, we test if they receive the same degree of social support, that is:

[tex]H_0: \mu_A = \mu_N[/tex]

At the alternative hypothesis, we test if they receive different degrees of social support, that is:

[tex]H_1: \mu_A \neq \mu_N[/tex]

A p value of 0.19 is reported.

The p-value is larger than the significance level, which means that there is not enough evidence to conclude that the social support level for abused women is different of the social support level for non abused women.

Answer:

10417 cubic units (to nearest unit)

Step-by-step explanation:

A formula for the volume of pyramids (and cones--"pointy" things) is one-third times the area of the base times the height.

[tex]V=\frac{1}{3}Bh[/tex]  where  B  is the area of the base.

[tex]V=\frac{1}{3}(625)(50) \approx 10417[/tex] cubic units (rounded)

Answer:

length =15

breadth =11

height =5

Step-by-step explanation:

p=l+ b+h

p=15+11+5

p=31is ur ans

A=b×h

a=11×5

a=55is ur ans

King

Answer:

No.

Step-by-step explanation:

3x+2y<11 doesn't have a y-intercept of 6 and doesn't have a x-intercept of 4.

2x-y<9 is not the same direction as 3x+2y<11.

Let the two equal angles each be x

Let the third angle be x + 48

Then ATQ

x + x + x + 48 = 180

3x + 48 = 180

3x = 180 - 48 (Angle Sum Property)

3x = 132

x = 132/3

x = 44

Now the two angles are each 44

And the largest angle = 44 + 48

= 92

Answered by Gauthmath must click thanks and mark brainliest

Largest angle in the triangle is [tex]92^{0}[/tex]

"A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry."

"Angle sum property of triangle states that the sum of interior angles of a triangle is 180°."

Let us assume the two equal angles be '[tex]x[/tex]'

According to the question,

Two equal angles = [tex]x[/tex]

Third angle = [tex]x+48^{0}[/tex]

We know the angle sum property

[tex]x+x+x+48^{0} =180^{0}[/tex]

⇒[tex]3x+48^{0}=180^{0}[/tex]

⇒[tex]3x=180^{0}-48^{0}[/tex]

⇒[tex]x=\frac{132^{0} }{3}[/tex]

⇒[tex]x=44^{0}[/tex]

Two equal angles  [tex]x[/tex] = [tex]44^{0}[/tex]

Largest Angle = [tex]44^{0} +48^{0}[/tex]

∴  Largest Angle = [tex]92^{0}[/tex]

Hence, Largest Angle = [tex]92^{0}[/tex]

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Answer:

39 units

Step-by-step explanation:

The formula for area of trapezoid is 1/2h(a+b) where a and b are the base/parallel sides.

We have,

a=3-x

b=10+x

h=6

Now,

Area=1/2h(a+b)

       =1/2*6(3-x+10+x)=3(13)=39 units

Answer:

1. Elanor's standardized score is  1.19

2. Gerald's standardized score is 0.72

3. Elanor has higher score.

Step-by-step explanation:

To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.

z score can be calculated using the formula

z=X-M over 8 where

X is the student's score

M is the mean score of the exam

s is the standard deviation of the exam

Elanor's standardized score is:

z(e) =680-554 over 106 ≈ 1.19

Gerald's standardized score is:

z(g)= 27 - 24.7 over 3.2 ≈ 0.72

Since z(e) > z(g), Elanor has higher score

Answer:

y = 2x - 7

Step-by-step explanation:

Parallel lines have the same slope so only the y-intercept is different. Therefore nothing is changed between the two equations except the y-intercept is -7.

9514 1404 393

Answer:

  3.6481 years

Step-by-step explanation:

The doubling time is not a function of the amount invested. It can be found by considering the account balance multiplier:

  2 = e^(rt) = e^(0.19t)

Taking logs, we can solve for t:

  ln(2) = 0.19t

  t = ln(2)/0.19 ≈ 3.6481431

Rounded to 4 decimal places, the doubling time is 3.6481 years, for either balance.

Answer:

The correct answer is "learn an employers business"

Step-by-step explanation:

Supervising other workers isn't their job

Becoming physically fit wouldn't help them with that job

Building friendships with customers isn't part of the job

According to the video, this career offers a good opportunity to learn an employer's business. Therefore, the correct option is option B.

There are two definitions of a career. It's common to use the word "career" to describe a profession, occupation, trade, or vocation. The work you perform for a livelihood is defined by your job, which can range from occupations requiring substantial education and training to ones that can be performed using a high school certificate and then a desire to gain knowledge.

Work as a doctor, attorney, teacher, carpenter, veterinarian assistant, electrician, cashier, instructor, or hairstylist is an example of a career. According to the video, this career offers a good opportunity to learn an employer's business.

Therefore, the correct option is option B.

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Answer:

12/10 = 8/x

12x=80

x=6.666666

x=7

Step-by-step explanation:

Answer:

6.666667

Step-by-step explanation:

We can use a proportion to solve this problem:

12 : 8 = 10 : x

x = (8 * 10)/12 = 6.666667

[tex]\begin{cases}\large\bf{\green{ \implies}} \tt \: - \frac{6}{5} \: k \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{6k}{5} \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 12 \: \times \: 5 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 60 \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: \cancel\frac{60}{ - 6} \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: - 10 \end{cases}[/tex]

Answer:

The measure of an arc is the size of the corresponding central angle, so angle 1 for AB,

Answer: B 30

You = her*1.1

her = you/1.1 = you*0.9090...

her = you - you*(1 - 0.9090...) = you - you*0.0909...

--> 9.09% younger

x = 9.09

HOPE SO IT HELPS YOU

The required value of x is 0.909.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Given that,

The husband is 10% older than wife.

And, the wife is x% younger than husband.

Suppose the age of husband is h and of wife be w.

The following equations can be written for the given case,

(h - w)/w × 100 = 10                    (1)

And, (h - w)/h × 100 = x              (2)

Divide both equations to get,

h/w = 10/x

Equation (1) can be written as,

h/w - 1 = 10

=> 10/x - 1 = 10

=>  10/x = 11

=> x = 10/11

=> x = 0.909

Hence the value of x for the given case is 0.909.

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Answer:

Step-by-step explanation:

[tex]\begin{bmatrix}3 & 6 & 1\\ 2 & 4& 0\\ 0 & 6 & 2\end{bmatrix}\times\begin{bmatrix}2\\ 0\\ 1\end{bmatrix}[/tex]

Multiply the terms of the rows of the first matrix with the terms given in the column of the second matrix.

[tex]=\begin{bmatrix}(3\times 2+6\times 0+1\times 1)\\ (2\times 2+4\times 0+0\times1)\\ (0\times 2+6\times 0+2\times 1)\end{bmatrix}[/tex]

[tex]=\begin{bmatrix}7\\ 4\\ 2\end{bmatrix}[/tex]

Answer:

[tex]y-7=-\frac{\displaystyle 4}{\displaystyle 9}(x+4)[/tex]

OR

[tex]y-3=-\frac{\displaystyle 4}{\displaystyle 9}(x-5)[/tex]

Step-by-step explanation:

Hi there!

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point that falls on the line

1) Determine the slope (m)

[tex]m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-4, 7) and (5, 3):

[tex]m=\frac{\displaystyle 3-7}{\displaystyle 5-(-4)}\\\\m=\frac{\displaystyle 3-7}{\displaystyle 5+4}\\\\m=\frac{\displaystyle -4}{\displaystyle 9}[/tex]

Therefore, the slope of the line is [tex]-\frac{\displaystyle 4}{\displaystyle 9}[/tex]. Plug this into [tex]y-y_1=m(x-x_1)[/tex] as [tex]m[/tex]:

[tex]y-y_1=-\frac{\displaystyle 4}{\displaystyle 9}(x-x_1)[/tex]

2) Plug a point into [tex]y-y_1=-\frac{\displaystyle 4}{\displaystyle 9}(x-x_1)[/tex]

[tex]y-y_1=-\frac{\displaystyle 4}{\displaystyle 9}(x-x_1)[/tex]

Because we're given two points, there are two ways we can write this equation:

[tex]y-y_1=-\frac{\displaystyle 4}{\displaystyle 9}(x-x_1)\\\\y-7=-\frac{\displaystyle 4}{\displaystyle 9}(x-(-4))\\\\y-7=-\frac{\displaystyle 4}{\displaystyle 9}(x+4)[/tex]

OR

[tex]y-3=-\frac{\displaystyle 4}{\displaystyle 9}(x-5)[/tex]

I hope this helps!

Answer:

1/3

Step-by-step explanation:

Next term ÷ Previous term = common ratio

Answer:

Hello,

Answer: q=1/3

Step-by-step explanation:

[tex]u_1=1\\u_2=\dfrac{1}{3} =1*\dfrac{1}{3}\\u_3=\dfrac{1}{9}=u_2*\dfrac{1}{3}=u_1*(\dfrac{1}{3})^2\\u_4=\dfrac{1}{27}=u_3*\dfrac{1}{3}=u_1*(\dfrac{1}{3})^3\\\\Common\ ratio\ q=\dfrac{1}{3}[/tex]

Answer:

true

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A

[tex]\frac{12}{2\pi }[/tex]  ≈ 1.91 < 2

B

8 - π 8 - 3.14 = 4.86 < 5

C

10π ≈ 31.42 > 30 ← True

D

π + 4 = 3.14 + 4 = 7.14 > 7

Option C is a true inequality