In this triangle, what is the value of x?
Enter your answer, rounded to the nearest tenth

In This Triangle, What Is The Value Of X?Enter Your Answer, Rounded To The Nearest Tenth

Answers

Answer 1

Step-by-step explanation:

imagine a circle with the center at the vertex of the angle x, and the radius 72 ft.

cos(x) = 28/72 = 7/18 = 0.388888888...

x = 67.11461952...° ≈ 67.1°


Related Questions

omg !!! please help so much !

Answers

Answer:

75

Step-by-step explanation:

15*3=45

6*5=30

45+30=75

Please mark Brainliest.

Can someone please help with five?

Answers

Answer:

-3,-2,-1,0,1

Step-by-step explanation:

Just replace x with the x value to find the y value

y=x-1

y=-2-1

y=-3

Y=-1-1

y=-2

y=0-1

y=-1

y=1-1

y=0

y=2-1

y=1


hopes this helps please mark brainliest

y= x - 1. So, to find different y values, replace x with whatever x value they give you per column in the table. Then, solve the equation.

All y values will be equal to the x value given in the table minus 1.

For example, -2 minus 1 equals -3. So, for the y value in the first column of the table, your answer is -3.

5 The table shows the weights of different packages.
What is the approximate total mass of packages A, B,
and D? (Hint: 1 lb ≈ 0.45 kg)
Package | Weight (lb)
A | 0.25
B | 0.8
C | 1
D | 1.75
answers:
F 1.26 g
G 2.8 g
H 280 g
J 1260 g

Answers

Answer:

1710 grams (not on the answer list)

Step-by-step explanation:

The total weight of the 4 packages is 3.8 pounds (lbs). The conversion factor is (0.45 kg/lb).

(3.8 lbs)*((0.45 kg/lb) = 1.71 kg or 1710 grams. Pease check the numbers provided.

pls help me with algebra

Answers

These are the answers to the questions.

Brad had a small gathering at a local steakhouse. The steakhouse offers three dinner platters which vary by size and price. They ordered 4 of the 6-ounce platters, 3 of the 8-ounce platters, and 2 of the 11-ounce platters.

Steak Platter Prices
• 6-ounce $9.95
• 8-ounce $12.95
• 11-ounce $15.95

If a gratuity of 18% was added to the bill, which of the following is closest to the total of the steak platters and gratuity, ignoring sales tax?

Answers

Hello!

If Brad had a small gathering at a local steakhouse where they ordered 4 of the 6-ounce platters, 3 of the 8-ounce platters, and 2 of the 11-ounce platters. After adding an 18% gratuity their total before sales tax should have been $130.45

Step-by-step explanation:

[tex]4[/tex] x [tex]9.95=39.80[/tex]

[tex]3[/tex] x [tex]12.95=38.85[/tex]

[tex]2[/tex] x [tex]15.95=31.90[/tex]

[tex]31.90+[/tex][tex]38.85+[/tex][tex]39.80=[/tex][tex]110.55[/tex]

[tex]110.55[/tex] x [tex]0.18[/tex] [tex]=19.899[/tex]

[tex]110.55+19.90[/tex][tex]=130.45[/tex]

f(x) = x +4
g(x) = 3x
What is the value of fg(7)?

Answers

Answer: 105 (altough im not entirely sure sry...)

Step-by-step explanation:

I believe since it is "fg" then only the g gets the 7 (g(7)) and the f is just f(1)

This is quite difficult so you this may not be correct

I hope

Noah runs a farm stand that sells bananas and raspberries. Each pound of bananas
sells for $3 and each pound of raspberries sells for $2.25. Noah made $72 from
selling a total of 28 pounds of bananas and raspberries. Graphically solve a system of
equations in order to determine the number of pounds of bananas sold, a, and the
number of pounds of raspberries sold, y.

Answers

There is no possible solution for the weight of raspberries sold, given that 28 pounds of banana were sold.

What is Co-ordinate Geometry?

Graphs and coordinates are utilised in coordinate geometry to discover information about various geometric figures. A description of the coordinate plane must be included in a definition of coordinate geometry. A coordinate plane, also known as a coordinate graph, is a grid system formed by the intersection of two number lines known as axes. The x-axis is the horizontal number line, and the y-axis is the vertical number line. These axes meet at a position known as the origin.

Solution:

let, the total weight of banana sold be x pounds

and total weight of raspberries soldd be y pounds.

From the data given in the question, the equation formed is

3x + 2.25y = 72

(See Graph)

at x = 28 we will get the value of y as -5.34

which is not a possible solution

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\frac{2x^3t^3}{xt^2}\:\cdot \frac{\left(3xt\right)^3}{9x^2t}

Answers

Answer:

[tex]6x^{3}t^{3}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{\left(3xt\right)^3}{9x^2t}[/tex]

[tex]\textsf{Apply exponent rule} \quad (ab)^c=a^c \cdot b^c:[/tex]

[tex]\implies \dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{3^3x^3t^3}{9x^2t}[/tex]

[tex]\implies \dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{27x^3t^3}{9x^2t}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{ac}{bd}:[/tex]

[tex]\implies \dfrac{2x^3t^327x^3t^3}{xt^29x^2t}[/tex]

Collect like terms:

[tex]\implies \dfrac{2 \cdot 27x^3x^3t^3t^3}{9x^2xt^2t}[/tex]

Multiply the numbers 2 and 27:

[tex]\implies \dfrac{54x^3x^3t^3t^3}{9x^2xt^2t}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies \dfrac{54x^{3+3}t^{3+3}}{9x^{2+1}t^{2+1}}[/tex]

[tex]\implies \dfrac{54x^6t^6}{9x^3t^3}[/tex]

Separate like terms:

[tex]\implies \dfrac{54}{9} \cdot \dfrac{x^6}{x^3}\cdot \dfrac{t^6}{t^3}[/tex]

Divide the numbers 54 and 9:

[tex]\implies 6 \cdot \dfrac{x^6}{x^3}\cdot \dfrac{t^6}{t^3}[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies 6 \cdot x^{6-3}\cdot t^{6-3}[/tex]

[tex]\implies 6 \cdot x^{3}\cdot t^{3}[/tex]

[tex]\implies 6x^{3}t^{3}[/tex]

Can anyone state the vertex of the graph?

Answers

The graph has no vertex

The transformations from the parent function are

Vertical shift down 2Horizontal shift left 4

How to determine the vertex?

The graph represents the given parameter

As a general rule, the maximum or the minimum of a graph is the vertex

However, the graph has no maximum or minimum

This means that there is absence of a vertex in the graph

The transformation

Here, we have:

The graph is translated 4 units to the left of the origin The graph is translated 2 units below the origin

This transformation can be represented as (x - 4, y - 2)

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Allie is playing basketball. She takes a shot 17 ft away from the basket. When the ball is 2 ft away from her, it is at a height of 10 ft above the floor. The ball reaches its highest height of 17 ft above the
floor when it is 9 feet away from her.
a. Find the value of a.
b. If the hoop is 10 ft high, how close would Allie have to be in order to make the basket?
a. The value of a is
(Simplify your answer.)

Answers

According to the vertex form of the parabola,

a) The value of a is -1/7.

b) And If the hoop is 10 ft high, the distance close to Allie have to be in order to make the basket should be 16 feet.

Vertex form of the parabola

The vertex form of the parabola can be given as,

y = a(x - h)² + k

Where

h,k are the coordinates of the vertex.

Given,

Allie is playing basketball. She takes a shot 17 ft away from the basket. When the ball is 2 ft away from her, it is at a height of 10 ft above the floor. The ball reaches its highest height of 17 ft above the floor when it is 9 feet away from her.

Here we need to find the following:

a. The value of a

b.  If the hoop is 10 ft high, how close would Allie have to be in order to make the basket?

We know that, Allie takes a shot of 17 ft away and at the distance of 2 feet the ball achieve the height of 10 feet from the ground.

And the greatest height achieved by the ball is 17 ft above the floor.

Then the value of a is calculated by using the point that is obtained thorough the given details is,

=> (2, 10)

And the vertex of the equation are (9, 17)

When we apply these on the vertex form, then we get,

10 = a(2 -  9)² + 17

-7 = a(-7)²

49a = -7

a = -1/7

Therefore, the value of a is 1/7.

Now we have to find if the hoop is 10 ft high, The distance close to Allie have to be in order to make the basket-

Here the value of y is 10 and x is not known.

Now, we have to put these values on the equation then we get,

=> 10 = -1/7 (x - 9)² + 17

=> -7 = -1/7 (x -9)²

=> 49 = (x - 9)²

=>√49 = x - 9

=> x = 16

Therefore, if the hoop is 10 ft high, the distance close to Allie have to be in order to make the basket should be 16 feet.

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Find 40th term for 4,8,12

Answers

Answer: 160

Step-by-step explanation:

because you times 40 by 4 as 4 is the first term and 4x10=40 <3

hope this helped <3

What are the x and y intercepts? What do they mean in terms of the graph?

Answers

Step-by-step explanation:

these intercepts are the points where the graph intersects with the coordinate axes (x and y).

the x-intercept is a point on the x-axis, meaning when y = 0.

the y-intercept is a point on the y-axis, meaning when x = 0.

so, the x-intercept here is 14 at the point (14, 0).

the y- intercept is 7 at the point (0, 7).

that means the object started falling from a height of 7 meters and hit the ground after 14 seconds.

the falling speed was then

7 meters / 14 seconds = 0.5 meters / second

what are we talking about ? an asteroid with very little gravity ?

You go out to eat with 3 friends and your meal was $72.50. There is 6.75% sales tax and you plan to tip the server 15%. How much should each person pay?

Answers

The amount that each person should pay is  $22.06   .

in the question ,

it is given that

total number of persons = 3 person + 1 = 4 persons

cost of the meal = $72.50

sales tax percent = 6.75%

tip percent = 15%

So , the amount of sales tax = 6.75% of cost = 0.0675 * 72.50 = $4.89

and , the amount of tip is = 15% of cost

= 0.15 * 72.50

= 10.87

So , the total amount payable is = cost + sales tax + tip

= 72.50 + 4.89 + 10.87

= 88.26

since the total number of persons is 4 ,

the amount per person is = 88.26/4 = 22.06

Therefore , The amount that each person should pay is  $22.06   .

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if the 90% confidence limits for the population mean are 45 and 55, which of the following could be the 99% confidence limits a) [48, 55] b) [49, 53] c) [42, 58] d) [46, 51] e) [49, 51] f) none of the above

Answers

The 99% confidence limit will be option B which is (45, 55)

90% confidence limits for the population mean are (46,54)

mean = 46+54 / 2 = 50.

the margin of error E = 54-46/2 = 4

For 90% Confidence Z- Critical value is = 1.645

But the margin of error

E = ZS/√n

4=(1.645)S/√n

S/√n = 4 / 1.645

= 2.4316

For 95% confidence Z-critical value is 1.96

A 95% confidence interval is = mean ± E

(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316

= 50+ 4.7660

= 45.2340, 54.7660

= (45, 55)

Hence the correct option is B which is (45, 55) as the 99% confidence limit.

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30% of the tickets sold at a school carnival were early-admission tickets. If the school sold 100 tickets in all, how many early-admission tickets did it sell?

Answers

The number of early-admission tickets that it sells is 30.

How to calculate the number of early admission?

From the information, 30% of the tickets sold at a school carnival were early-admission tickets and the school sold 100 tickets in all.

Therefore, the number of early admission will be:

= Percentage for early admission × Total number of tickets

= 30% × 100

= 0.3 × 100

= 30

Therefore, there are 30 early admission.

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0.00097 in standard form

Answers

Answer:

9.7x10^-4

Step-by-step explanation:

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Step-by-step explanation:

we have 11k + 4k.

this is like saying "I have 11 apples and then get 4 more apples - how many apples do I have ?"

in other words, how many "k" do I have ?

11 + 4 = 15.

we have 15k.

and then there is -3 + 8 = 5

so, the answer is

15k + 5

Answer:

15k + 5

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ 11k - 3 + 4k + 8

Let's simplify the expression,

→ 11k - 3 + 4k + 8

→ 11k + 4k - 3 + 8

→ (11k + 4k) + (-3 + 8)

→ (15k) + (5)

15k + 5

Hence, the answer is 15k + 5.

Peter, Bridget and Caroline share some sweets in the ratio 4:3:1. Peter gets 20 sweets. How many sweets are there altogether?

Answers

In that the sweets are shared 20:15:5 (multiply all the numbers by five)
This means there are 20 + 15 + 5 = 40 sweets

a bike path is 12.5 miles. Dominic is 70% of the way to the end how far is Dominic on the path

Answers

Dominic is on the 8.75 mile of the bike path

How to determine how far on the path is the distance?

From the question, the given parameters are:

Proportion of distance = 70% of the bike path Bike path = 12.5 miles

The above parameters implies that

Dominic's position = 70% of the total distance

Represent the total distance with x

So, we have the following representation

Dominic's position = 70% * x

Where

x = 12.5

So, we have

Dominic's position = 70% * 12.5

Evaluate the products

Dominic's position = 8,75

Hence, Dominic's position is 8,75 miles

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Capital social 2.000.000 banco caixa 20.000 imovel 1.000.000 50% a vista 50% a prazo moveis 90.000 a vista transferencia bancaria veiculo 150.000 a prazo mercadoria a prazo 200.000

Answers

very very very very very very good but unfortunately i cannot understand this question

a box contains 22 red apples and 3 green apples. three apples are selected at random, one after the other, without replacement. (a) the first two apples are green. what is the probability that the third apple is red? (b) what is the probability that exactly two of the three apples are red?

Answers

(a) Probability that third apple is red from three selected apple one after one is 22/23.

(b) Probability that exactly two of the three apples are red is 0.3012

In the question we have,

total number of apples in a box = 25

number of red apples in a box = 22

number of green apples in a box = 3

Now, three apples are selected at random,one after other without replacement and first two apples are green .

(a) Then number of apples remained in a box after two green apples withdraw = 23

probability that third apple is red = 22/23

(b) The following are possible number of sample spaces for exactly two of the three apples are red

RGRRRGGRR

where , R--> red apple and G--> green apple

For first sample space , RGR i.e first and last apples are red

probability that first and last apples are red from three withdraw apples or P(RGR) = 22/25× 3/24× 21/23 = 0.1004

similarly, P(RRG) = 22/25×21/24×3/23 = 0.1004

P(GRR) = 3/25×22/24×21/23 = 0.1004..

Probability that exactly two apples are red = P(RRG)+ P(RGR)+ P(GRR) = 3(0.1004) = 0.3012

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3/8=15/5x-2 please help me find x

Answers

Answer x = 19/24

Step-by-step explanation:

The table of ordered pairs (x, y) gives an exponential function.
Write an equation for the function.
X
-1
0
1
2
y
1
3
2
12
72

Answers

Answer:

y=2·6^2

Step-by-step explanation:

Use formula y=a[tex]b^x[/tex], plug in two different points.

72=ab^2

12=ab^1

isolate one so that a is on one side

a=[tex]\frac{12}{b}[/tex]

plug in a into the other equation

72=[tex]\frac{12}{b}[/tex][tex]b^2[/tex]

72=[tex]\frac{12b^2}{b}[/tex]

72=12b

b=6

complete solving for a now

a=2

now put it back into [tex]y=ab^x[/tex]

y=2·6^2

Does the point (-2, 7) lie on the graph of y = -2x+1

Answers

The point (-2, 7) is not on the graph of y = -2x + 1

How to determine if the point is on the graph?

From the question, we have the following equation

y = -2x + 1

This equation represents the equation of the graph

Also, we have the following points

(-2, 7)

This point implies that

(x, y) = (-2, 7)

Substitute (x, y) = (-2, 7) in the equation y = -2x + 1

So, we have

7 = -2 x -2 + 1

Evaluate

7 = 5

This is false

Hence, the point is not on the graph

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The internal radius of a cylindrical bucket of height 50 cm is 21 cm. It is filled with water completely. If the water is poured into a rectangular vessel with internal length 63 cm and breadth 44 cm and it is completely filled with water, find the height of the vessel.​

Answers

The height of the rectangular vessel into which the volume of water that completely fills the cylindrical bucket is poured is approximately 25 centimeters

What is the relation between height and volume of a cylinder?

The volume of a cylinder is the product of the base area of the cylinder and the height of the cylinder.

Height of the cylindrical bucket, h = 50 cm

Radius of the bucket, r = 21 cm

The level of water in the cylindrical container = The container is filled completely with water

The shape of the vessel into which the water is poured = Rectangular vessel

Length of the rectangular vessel into which the water in the cylinder is poured, L = 63 cm

Breadth of the rectangular  vessel, B = 44 cm

Level to which the water fills the rectangular vessel = The rectangular vessel is completely filled with the water poured in from the cylinder

Volume of water in the cylinder, V = Volume of the cylinder = π·r²×h

Therefore;

V = π × 21² × 50 = 22050·π

The volume of water transferred from the cylinder = 22050·π cm³

Volume of the rectangular vessel, [tex]V_s[/tex] = L × B × H

[tex]V_s[/tex] = V = 22050·π cm³

Therefore;

The height of the rectangular vessel, H = [tex]V_s[/tex]/(L × B)

H = 22050·π/(63 × 44) = 24.9899415626 ≈ 25

The height of the rectangular vessel is H ≈ 25 cm

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NSPECTIONS Mrs. Sanchez is inspecting a shed to determine if it is safe to use for storing football equipment. Mrs. Sanchez mapped the top view of the ceiling walls of the shed on a coordinate plane. If one of the walls lies from (–6, 11.5) to (2, 9.5) and the second wall lies from (–1, –2.5) to (2, 9.5), are the walls perpendicular? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:

Answer:Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4

Step-by-step explanation:

check the slope of both points

(-6,11.5) to (2, 9.5)  

11.5-9.5= 2

-6-2=-8

2/-8

m=-1/4

(-1, -2.5) to (2,9.5)

-2.5=9.5=-12

-1-2=3

-12/-3

m=4

Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4

How many kilometres is 6.5cm

Answers

Answer:

0.000065 km

Step-by-step explanation:

To get from cm to km you need to divide 6.5 by 0.000001 which equals 0.000065km

Which equation represents a line which is perpendicular to the line y=-4x-5?
A. x+4y=-32
B.4x+y=3
C.4x−y=−4
D.4y−x=4

Answers

Answer:

D.4y−x=4

Step-by-step explanation:

Perpendicual lines have a slope that is the negative inverse of the referenced line.  The reference here is:

       y = -4x-5

The slope is -4

The negative inverse of -4 would be +(1/4).  Any line that has a slope of +(1/4) will be perpendicular to y=-4x+5.

The equations in the answer options are not arranged according to the standard format of y=mx+b, where m is the slope and b the y-intercept.

We could graph all the equations and look for the one(s) that are perpendicualr, but it might be safer, and faster, to rearrange them in the standard format, and then note the slope:

                                  Slope     =+(1/4)?

A. x+4y=-32  

    4y= -x-32

     y = -(1/4)x-8        -(1/4)           NO

B.4x+y=3

     y = -4x + 3            -4                NO

C.4x−y=−4

     y = 4x + 4             4                 NO

D.4y−x=4              

     4y=x+4               +(1/4)      <==YES

      y=(1/4)x+1    [Option D has a slope of +(1/4).  It will be perpendicular]

See the attached graph.

Reese made a deposit into an account that earns 8% simple interest after 8 years Reese had earn $400 how much was Reece's initial deposit?

HELP ​

Answers

The principle investment necessary to obtain a total sum of $400.00 from simple interest at an annual rate of 8% for 8 years is $243.90.

What is arithmetic operation?

Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on.

Here,

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

P = 400 / ( 1 + (0.08 × 8)) = 243.90243902439

P = $243.90

The principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 8 years is $243.90.

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Each costume for a dance group in a talent show requires 2 yards of black material and 3 yards of red material. The dance group has 30 yards of black material and 60 yards of red material.

What is the greatest number of costumes they can make?

Answers

The greatest number of costumes the dance group can make is 15.

What is the greatest number of costumes they can make?

The mathematical operation that would be used to determine the answer is division. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

The first step is to determine the number of costumes that can be made given the total yards of black material.

Total costumes that can be made = total length available / length required for each costume

30 / 2= 15

The second step is to determine the number of costumes that can be made given the total yards of red material.

Total costumes that can be made = total length available / length required for each costume

60 / 3 = 20

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What is the central idea of schindler's list? alex is pushing a heavy box.The force he exerts is represented by the white arrow. In order to make his task easier in which direction should an additional force be applied? everyday application: suppose a yo-yo has a center shaft that has a 0.250 cm radius and that its string is being pulled. (a) if the string is stationary and the yo-yo accelerates away from it at a rate of , what is the angular acceleration of the yo-yo? (b) what is the angular velocity after 0.750 s if it starts from rest? (c) the outside radius of the yo-yo is 3.50 cm. what is the tangential acceleration of a point on its edge? A family has a hot dog cookout every year. The scatter plot shows the number of people who have attended each cookout and the number of hot dogs that were eaten each year. This year 45 people are expected to attend the cookout. Based on the scatter plot, about how many hot dogs should the family prepare? Read the following article by Sykes and Matza on Techniques of Neutralization. Then, respond to the following question:How do Sykes and Matzas techniques of neutralization allow crime to occur? Provide an (anonymous, i.e., do not identify someone by name) example of someone that you know personally or a case that has been well reported in the media where neutralizations are linked to crime or other problem behavior. the nurse is discussing diabetes mellitus with a group of people who are involved in a weight loss program. the nurse relates to the group that the parameters for a diagnosis of diabetes are a fasting plasma glucose test (fpg) greater than or equal to what level on two separate occasions? describe at least 2 ways bone functions in protection of the human body write a production about base jumping What is the mean of orient Is home life affected by drug addiction?A. Yes, it's always affected.B. No, it's not affected.C. Only if you don't know how to manage your addiction. What is the asymptote of the exponential function graph below?y=1y=5y=2y=0 The table shows the nature of the reactants and products formed in a certain type of chemical reaction. Nature of Reactants and Products Reactants Products Ionic compound + Ionic compound Ionic compound + Ionic compound Which of the following is true about this type of chemical reaction? Question 5 options: It is a single replacement reaction, and all four compounds are different. It is a double replacement reaction, and all four compounds are different. It is a single replacement reaction, and each compound has the same set of ions. It is a double replacement reaction, and each compound has the same set of ions. according to ronald coase, when should we expect to see a transaction occur within a firm as opposed to between two firms? Read this sentence from the passage.She made a few more errors, but by the end of her five-hourshift, she found a rhythm and some confidence and felt asthough she might be able to master it with more practice.How does the phrase "found a rhythm" affect the text?O It creates a comforting mood.O It evokes a sense of being soothed.OIt creates a tranquil tone.OIt suggests a consistent flow of action. calculate the temperature (in k) at which 0.0938 mol of o2 has a pressure of 740 torr in a 1.0l container. $.(b) (i) Annie invests $330 at a rate of 1.5% per year compound interest.Calculate the amount that Annie has after 8 years.Give your answer correct to the nearest dollar. is junes mother responsible for teaching june how to assert her feelings? Imagine that you are experimenting with two carts on an air track. Both carts have the same mass. You set cart A at rest on the track and slide cart B towards it with speed ( v ). Choose a possible outcome of the collisiona) Cart A moving forward with speed v/2, cart B moving backwards with speed (v).b) Cart A at rest, cart B moving backwards with speed (v).c) Cart A moving forwards with speed 2v, cart B moving forwards with speed (v).d) Cart A moving forwards with speed (v), cart B at rest. a goalkeeper is assessed a misconduct for breaking their stick over the goal frame after giving up a goal. who will serve the penalty for the misconduct? 7. Eugene earns $2,700 monthly. He is going to be receiving a 3.5% raise. With this new raise, heInelieves he will earn more than $2,800 a month. Is Eugene correct in his thinking? Why or whyrot? Justify your reasoning.