Round to nearest tenth show all work

Round To Nearest Tenth Show All Work

Answers

Answer 1

Side AC in the triangle is 3.6 and side BC in the triangle is 1.7

What is sine rule?

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side AC :

4/sin90 = AC / sin64.3

AC × sin90 = sin 64.3 × 4

AC = 0.9 ×4

AC = 3.6 ( nearest tenth)

To find side BC:

using Pythagoras theorem

4² = 3.6² + (BC)²

16 = 12.96 +(BC)²

(BC)² = 16 - 12.96

(BC)² = 3.04

BC = √ 3.04

BC = 1.7( nearest tenth)

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Related Questions

K
Fill in the blank.
The process of arriving at an approximate answer to a computation such as 0.79×403 is called
TEI
The process of arriving at an approximate answer to a computation such as 0.79 × 403 is called
A

Answers

The process of arriving at an approximate answer to a computation such as 0.79 × 403 is called estimation.

What is estimation in mathematics?

Having an approximate estimate of something's worth, number, size, or extent is referred to as estimation in mathematics. When we are willing to accept a response that is extremely near to the true result, we utilize estimates of numbers to make mental computations simpler and faster.

The computation is approximate, or the number is rounded to the nearest place value.

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Jada made 6 cups of blueberry jam and divided the jam equally among 4 containers how much jam went in each container

Answers

1.5 cups into each container
Hope this helps

Answer:

Step-by-step explanation:

Hi I need help asap ?!!! Thank you!!!!

Answers

Answer:

3.65

Step-by-step explanation:

3.78

1.30

___

2.48

3-1=2

7-3=4

8-0=8 -

What is the solution to this system of equations?

Answers

To identify the solution to this system of equations, we simply locate the point of intersection. Because the two lines intersect at (2, -3), the solution to this system of equations is (2, -3).

Gianna drives 5 miles in 10 minutes. If she drove three hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Gianna drive in total?

Answers

Gianna is 90 miles far away in 3 hours of driving.

She drove in total of 180 minutes.

What is speed?

The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.

Given,

Gianna drives 5 miles in 10 minutes

Speed per minute = 5/10 = 0.5 miles/minute

Gianna drove in total for 3 hours

1 hour = 60 minutes

3 hours = 60 × 3 = 180 minutes

Distance Gianna drove in 180 minutes = speed per minute × time

                                                                = 0.5 × 180

                                                                = 90 miles

Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.

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PLS HELP ME

Select ALL!!!!!!! of the inequalities represented by the graph

Answers

The linear inequality represented by the graph is defined as follows:

y ≥ -2x + 1.

The ordered pairs that are solutions to the inequality x < -3 are given as follows:

(-5,5).(-4,-3).(-105,0).

How to obtain the linear inequality?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the coefficients are given as follows:

m is the slope, representing the rate of change.b is the y-intercept, which is the value of y when the graph of the function crosses the y-axis.

The function in this problem crosses the y-axis at y = 1, hence the intercept b is given as follows:

b = 1.

When x increases by one, y decays by two, hence the slope m is given as follows:

m = -2.

The shaded region, considering the solid line, is given by the values to the right of the line, hence the inequality is defined as follows:

y ≥ -2x + 1.

How to obtain the ordered pairs that are solution to the inequality?

The inequality for this problem is defined as follows:

x < -3.

The ordered pairs have the following format:

(x,y).

Hence all the ordered pairs that have x < -3, no matter the coordinate of y, are solutions to the inequality.

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Isosceles triangle OPQ has legs OP = OQ, base PQ = 2 , and POQ = 45. Find the distance from O to PQ.

In other words, how can you find the hight of an isosceles triangle with the base and angles.

Answers

The height of the isosceles triangle OPQ is given as follows:

2.41.

What is isosceles triangle?

An isosceles triangle is a triangle that has two equal side lengths, hence it also has two equal angle measures.

The top angle is of 45º, while the sum of the internal angles of the triangle is of 180º, hence the base angles are obtained as follows:

2x + 45 = 180.

2x = 135

x = 135/2

x = 67.5º.

Then the height is obtained considering a right triangle, in which the height is opposite to an angle of 67.5º, while the adjacent side has length of 1, which is half the base.

Applying the tangent of the angle of 67.5º, the height is obtained as follows:

tan(67.5º) = h/1

h = tan(67.5º)

h = 2.41.

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i need help i dont understand it and I need answers.

Answers

Answer:

Option 2

Step-by-step explanation:

The associative property of multiplication states that you get the product of the numbers no matter what way you arrange the equation and multiply the numbers, you can begin with any two numbers and go on multiplying with the rest, you get the same product!

Analyze the diagram below and complete the instructions that follow.


Find the unknown side length, x. Write your answer in simplest radical form.

A. 2047
B.60
C. 5/ 169
D.65

Answers

The unknown side length x is 65 units.

What is Pythagoras theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

Perpendicular = 33

Base = 56

Using Pythagoras theorem

H² = P² + B²

H² = 56² + 33²

H²= 3136 + 1089

H² = 4225

H= √4225

H = 65

Hence, the unknown length is 65 units.

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The change between outputs found by dividing one output by its previous output is called...​

Answers

The change between outputs found by dividing one output by its previous output is called output elasticity.

What is output elasticity?

Output elasticity is defined as the division of change in output by change in input which is the previous output.

General, elasticity is a concept that is used to measure the change in the aggregate quantity demanded of a good or service in relation to price movements of that good or service.

A product is considered to be elastic if the quantity demand of the product changes more than proportionally when its price increases or decreases.

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Can you please explain to me what, 232+232 is?

Answers

Answer: 464

Step-by-step explanation: 232+232 = 464

Answer:

464 is answer very easy.........

Help please and thank you

Answers

Answer: By SSS, ΔSUR ≅ ΔTVR.

Step-by-step explanation:

This might be a longer method, but still here you go.

Given, ΔSTU ≅ ΔTSV

By CPCT, we have the following.

∠TUS / ∠RUS = ∠SVT / ∠RVT  ----   1

SU = TV   ----    2

SV = TU ---- 3

∠STU / ∠STR = ∠TSV / ∠TSR

Now, in the triangle TRS,

TR = SR ( ∠TSR = ∠STR) ---- 4

SV= TU

SV - SR = TU - TR (SR= TR)

UR = VR ---- 5

Now, we can use SSS in the triangles ΔSUR and ΔTVR

SU = TV (2)

SR = TR (4)
UR = VR (5)
Therefore, by SSS, ΔSUR ≅ ΔTVR.
Cheers

Please help me with this question.

Answers

Answer:

Step-by-step explan

THATS A U PROBLEM!

The distribution of hourly rates of registered nurses in a large city has mean $31 and standard deviation $5.
a) What is the distribution of the sample mean based on a random sample of 100 registered nurses in the city?
b) Find the probability that the average hourly rate of the 100 nurse sample exceeds $31.50.

Answers

a) The distribution of sample means of 100 registered nurses in the city is approximately normal, with mean $31 and standard deviation of $0.5.

b) The probability that the average hourly rate of the 100 nurse sample exceeds $31.50 is of: 0.1587 = 15.87%.

How to obtain probabilities using the normal distribution?

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

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

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n is approximately normal and has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

The parameters for this problem are given as follows:

[tex]\mu = 31, \sigma = 5, n = 100, s = \frac{5}{\sqrt{100}} = 0.5[/tex]

The probability that the average hourly rate of the 100 nurse sample exceeds $31.50 is one subtracted by the p-value of Z when X = 31.5, hence:

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

By the Central Limit Theorem:

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

Z = (31.5 - 31)/0.5

Z = 1

Z = 1 has a p-value of 0.8413.

1 - 0.8413 = 0.1587 = 15.87%.

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Solve 3^x−5 = 9. Group of answer choices x = −3 x = 2 x = 7 x = 8

Answers

Answer: [tex]x=7[/tex]

Step-by-step explanation:

[tex]3^{x-5}=9\\ \\ 3^{x-5}=3^2 \\ \\ x-5=2 \\ \\ x=7[/tex]

Answer:

-3

Step-by-step explanation:

A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of Hours | Total Number of Students
0 | 1
1 | 3
2 | 2
3 | 10
4 | 9
5 | 7
6 | 3


Determine the probability that a student studied for exactly 4 hours. Round to the nearest hundredth.
A. 0.74
B. 0.35
C. 0.26
D. 0.11

Answers

Answer:

Step-by-step explanation:

24242424242424242424242424242424 wkakjksjajk nmgjkjksjkfjskjfdkcololecti

Answer:

0.35

Step-by-step explanation:

Using rectangles whose height is given by the value of the function at the midpoint of the​ rectangle's base​ (the midpoint​ rule), estimate the area under the graph of the following​ function, using two and then four rectangles.
[tex]y=81-x^2[/tex] between [tex]x=-9[/tex] and [tex]x=9[/tex]

Answers

The estimates of the area under the curve using rectangles is given as follows:

Two rectangles: 729 units squared.Four rectangles: 911.25 units squared.

How to approximate the area?

The area under a curve is approximated using the definite integral of the function that defines the curve within it's bounds.

As it is specified that the area should be approximated using rectangles, a Left Riemann Sum will be used to approximate the area.

With two rectangles, the Delta value is obtained as follows:

[tex]\Delta_x = \frac{9 - (-9)}{2}[/tex]

[tex]\Delta_x = 9[/tex]

The values of x are obtained with the rule presented as follows:

[tex]x_i = a + \Delta_x(i - 1)[/tex]

With two rectangles, the values are given as follows:

-9 and -9 + 9 = 0.

The numeric values are given as follows:

x = -9: 81 - (-9)² = 0.x = 0: 81 - 0² = 81.

The definite integral is given as follows:

[tex]\sum_{i = 1}^n = \Delta_xf(x_i)[/tex]

Hence the result is of:

9 x 81 = 729 units squared.

With four rectangles, the Delta value is given as follows:

[tex]\Delta_x = \frac{9 - (-9)}{4} = 4.5[/tex]

Hence the values of x are:

x = -9, x = -4.5, x = 0, x = 4.5.

The numeric values are:

x = -9: 81 - (-9)² = 0.x = -4.5: 81 - (-4.5)² = 60.75.x = 0: 81 - 0² = 81.x = 4: 81 - (-4.5)² = 60.75.

Hence the result of the integral is given as follows:

4.5(60.75 + 81 + 60.75) = 911.25 units squared.

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One aircraft has a capacity of 88 more seats than a second
aircraft. A third aircraft has 103 seats less than twice the seating
capacity of the second aircraft. If their total number of seats is
1909, find the number of seats for each aircraft.

Answers

Answer:

Let's call the number of seats in the first aircraft "x", the number of seats in the second aircraft "y", and the number of seats in the third aircraft "z".

From the problem statement, we know that:

x = y + 88 (the first aircraft has 88 more seats than the second aircraft)

z = 2y - 103 (the third aircraft has 103 seats less than twice the seating capacity of the second aircraft)

x + y + z = 1909 (the total number of seats in all three aircraft is 1909)

We can substitute the first equation into the third equation to get:

y + 88 + 2y - 103 = 1909

3y = 2000

y = 666 (the number of seats in the second aircraft)

Now that we know the number of seats in the second aircraft, we can use the first and second equations to find the number of seats in the other two aircraft:

x = y + 88 = 666 + 88 = 754 (the number of seats in the first aircraft)

z = 2y - 103 = 2(666) - 103 = 1229 (the number of seats in the third aircraft)

So, the first aircraft has 754 seats, the second aircraft has 666 seats and the third aircraft has 1229 seats.

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Answer: The first aircraft has 265 seats, the second aircraft has 177 seats and the third aircraft has 248 seats.

Step-by-step explanation:

Let's call the number of seats for the first aircraft x, the number of seats for the second aircraft y, and the number of seats for the third aircraft z.

From the problem, we know the following:

x = y + 88 (the first aircraft has a capacity of 88 more seats than the second aircraft)

z = 2y - 103 (the third aircraft has 103 seats less than twice the seating capacity of the second aircraft)

x + y + z = 1909 (the total number of seats for all three aircraft is 1909)

We can use the first equation to substitute for x in the second and third equations:

y + 88 = y + 88

2y - 103 = z

Now we have a system of equations:

y + 88 + y + 2y - 103 + z = 1909

4y + z = 2000

We can use the first equation to find y:

y = (1909 - 88 - 103) / 4 = 709 / 4 = 177

Now we can substitute this value of y back into the first equation to find x:

x = y + 88 = 177 + 88 = 265

and substitute it back into the second equation to find z:

z = 2* 177 - 103 = 248

So the first aircraft has 265 seats, the second aircraft has 177 seats and the third aircraft has 248 seats.

As x gets very large, which function becomes largest and remains so?

A y = 5x^3
B y = 4x^2
C y = ^3x
D y = 7x

Answers

As x gets very large , the function that becomes largest is y = 5x^3

What are exponential function?

An exponential function is a Mathematical function in the form f (x) = a^x, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

An exponential function is defined by the formula f(x) = a^x, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x. Where a>0 and a is not equal to 1. x is any real number.

This means that the greater the power of x , the larger the function of y.

For example, If y = 5x^n , as n increases the value of x increases and the value of y will increase also.

Therefore the largest function as x becomes large is y = 5x^3

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hi please help

anyone can help?

Answers

The two expressions in the second row and one expression in the first row will be 11t - 2u & 10t + 2u and 21t, respectively.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The three expressions in the third row are given below.

4t - 6u, 7t + 4u, and 3t - 2u

The two expressions in the second row are given as,

4t - 6u + 7t + 4u = 11t - 2u

7t + 4u + 3t - 2u = 10t + 2u

The one expression in the first row is calculated as,

11t - 2u + 10t + 2u = 21t

The two expressions in the second row and one expression in the first row will be 11t - 2u & 10t + 2u and 21t, respectively.

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2/7 divided by 5/6 in simplest form

Answers

Answer:

12/35

Step-by-step explanation:

2/7 / 5/6

= 2/7 x 6/5
= 12/35

write an expression for 9 less than the product of 11 and c

Answers

Answer:

11(c)-9

Step-by-step explanation:

The product is the result of multiplication, so the product of 11 and c looks like: 11*c or 11(c).

Nine less means subtract, so we simply subtract from the above to get:

11(c)-9 or I suppose another answer could be -9+(11(c))

Do shoppers at the mall spend less money on average the day after Thanksgiving compared to the day after Christmas? The 57 randomly surveyed shoppers on the day after Thanksgiving spent an average of $135. Their standard deviation was $49. The 55 randomly surveyed shoppers on the day after Christmas spent an average of $147. Their standard deviation was $32. What can be concluded at the
α
= 0.05 level of significance?

Answers

The conclusion of the test hypothesis at the significance level of 0.05 is given as follows:

The results are statistically insignificant at the significance level of 0.05, meaning that there is insufficient evidence to conclude that the mean on the day after Thanksgiving is less than the mean on the day after Christmas.

What are the hypothesis tested?

At the null hypothesis, it is tested if the mean is not greater than 135, that is:

[tex]H_0: \mu = 135[/tex]

At the alternative hypothesis, it is tested if the mean is greater than 135, hence:

[tex]H_1: \mu > 135[/tex]

What is the test statistic?

The test statistic is given by the equation presented as follows:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard error.

The parameters for this problem are given as follows:

[tex]\overline{x} = 147, \mu = 135[/tex]

The standard error is obtained as follows:

[tex]s = \sqrt{\left(\frac{49}{\sqrt{57}\right)^2 + \left(\frac{32}{\sqrt{55}\right)^2}}[/tex]

s = 7.79.

Hence the test statistic is of:

t = (147 - 135)/7.79

t = 1.54.

What are the p-value and conclusion?

The p-value of the test is obtained considering a right-tailed test, as we are testing if the mean is greater than a value, with 57 + 55 - 2 = 110 df and t = 1.54.

Using a t-distribution calculator, the p-value is given as follows:

0.0632.

Greater than the p-value, hence the result is not significant.

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You take one ball randomly from a bag with 10 yellow, 5 orange and 5 green balls. What is the probability that you don’t take a yellow ball.

0

1

1/2

Can not be determined

Answers

Answer: The probability of not taking a yellow ball can be found by using the formula:

Probability of event A = (Number of favorable outcomes) / (Total number of outcomes)

In this case, the event of not taking a yellow ball is the favorable outcome, and the total number of outcomes is the total number of balls in the bag, which is 10 yellow, 5 orange, and 5 green balls. So, the total number of outcomes is 20.

The number of balls that are not yellow is 5 orange + 5 green = 10.

So, the probability of not taking a yellow ball is

Probability of not taking a yellow ball = (Number of non-yellow balls) / (Total number of balls) = 10/20 = 1/2

So the answer is 1/2.

Step-by-step explanation:

help me with this answer

Answers

Answer:

f(1) = 7

Step-by-step explanation:

f(1) has x = 1 in the interval x < 2 with f(x) = - 2x + 9 , then

f(1) = - 2(1) + 9 = - 2 + 9 = 7

Find the distance between the two points rounding to the nearest tenth (if necessary)
(3,2) and (6,0)

Answers

Answer:

The distance between two points in the coordinate plane can be found using the distance formula, which is:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the two points are (3,2) and (6,0), so we can plug in the values to get:

distance = √((6 - 3)^2 + (0 - 2)^2)

distance = √((3)^2 + (-2)^2)

distance = √(9 + 4)

distance = √13

So the distance between the two points (3,2) and (6,0) is approximately 3.61 units.

2(3 + 2) to the third power minus 6

Answers

The value of  2(3 + 2) to the third power minus 6 is 2.187.

What is Expression?

An expression is combination of variables, numbers and operators.

The given sentence is 2(3 + 2) to the third power minus 6

Mathematically is can be written as [tex]2(3+2)^{\frac{1}{3}-6}[/tex]

Let us solve the exponent part

1/3-6

1-18/3=-17/3

Now [tex]2(3+2)^{\frac{-17}{3}}[/tex]

[tex]10^{-5.6}[/tex]

2.187

Hence, the value of  2(3 + 2) to the third power minus 6 is 2.187.

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HELP PLS URGENTLYY
Image attached

Answers

The correct option regarding the quotient of the two fractions is given as follows:

B. [tex]\frac{(4x^2 + 6)(x + 2)}{10x^2 + 15}[/tex], no values must be excluded.

How to divide two fractions?

The division of two fractions is given by the multiplication of the first fraction by the inverse of the second fraction.

The first fraction for this problem is given as follows:

(4x² + 6)/(x - 2).

The second fraction for this problem is given as follows:

(10x² + 15)/(x² - 4).

Applying the subtraction of perfect squares, we have that:

x² - 4 = (x + 2)(x - 2).

Then the division of the two fractions is given as follows:

(4x² + 6)/(x - 2) x [(x + 2)(x - 2)/(10x² + 15)]

Simplifying the x - 2 terms, we have that:

[tex]\frac{(4x^2 + 6)(x + 2)}{10x^2 + 15}[/tex]

No values must be excluded, as the denominator would be never zero, as:

10x² + 15 = 0

10x² = -15.

x² is always positive, hence 10x² will never be equals to -15.

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A= xIx is a letter in the word tale
What is the cardinal number?

Answers

Answer:

Assasination

Step-by-step explanation:

TBH I think this is it. I did some research and this is what I got. weird huh?

Hope this helps :)

Select two numbers that have 9 as their greatest common factor. Mark all that apply.​

Answers

Answer:18,9

Step-by-step explanation:

9x1=9 9x2=18

The answer is 18 and 9
Other Questions
An important development in the U.S. health care system is: What is the following are industry standard? you are the manager of six employees, each making $500 per week. unfortunately, your boss has told you that you must reduce your payroll by $26,000 for next year. how many jobs do you need to cut? (assume employees are paid 52 weeks per year.) Pictured are two cells along with their radius. What does cell B likely have when compared to cell A The five______ of __________are land, labor, capital, entrepreneurship, and knowledge. he nurse is preparing to administer a rectal suppository antipyretic medication. which action by the nurse is correct? Can you name me 2 commercial products that donate to nonprofit organization? Which of the following options provides correct information about 2.4GHz and 5GHz wireless frequencies? (Select TWO).2.4GHz has less interference. 5GHz transmits in lower speed.2.4GHz penetrates solid objects more effectively. 5GHz provides faster data connections.2.4GHz has a higher data rate. 5GH has 23 channels.2.4GHz has 11 channels. 5GHz has no data interference.2.4GHz has a higher coverage area. 5GHz has higher bandwidth.2.4GHZ has a higher bandwidth. 5GHz has lower transmit power. Which of the following are the features of Democracy?1. In a democracy the final decision making power must rest with those elected by the people.2. A democracy must be based on a free and fair election where those currently in power have a fair chance of losing.3. In a democracy, each adult citizen must have one vote and each vote must have one value.Select the correct answer using the code given below:a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1, 2 and 3Correct answer is option 'D'. Can you explain this answer? option 1: a 2-year-old child is brought into the urgent treatment clinic with persistent fever, vomiting, and diarrhea. consider the type of fluid and electrolyte losses this child is at risk for developing. be specific about fluids lost through fever, vomiting, and diarrhea. what other clinical manifestations of fluid and electrolyte imbalances will you need to watch for? Which of the following is probably true for a solid solute with a highly endothermic heat ofsolution when dissolved in water?(A) The solid has a low lattice energy(B) As the solute dissolves, the temperature of the solution increases(C) The resulting solution is ideal(D) The solid is more soluble at higher temperatures(E) the solid has a high energy of hydration What are the top 10 Excel formulas? Hey can you help me with this please its hard the stock market crash triggered the beginning of the great depression, the worst economic crisis in u.s. history. which factor did not contribute to the crash? responses too many ordinary people owning stock too many ordinary people owning stock purchasing of stock on credit by individuals and trusts purchasing of stock on credit by individuals and trusts overvalued stock prices overvalued stock prices a false belief that stock prices would continue to rise consider the equation "-7=1/2(z+12)" The line plot shows the distance Lena walks each day for 10days. Each X represents IdayDistances WalkedHow many miles does Lena walk in 10days?OA 23 milesOB 11 milesOC. 10 milesOD. 19 milesXXX XX.XxXX XXX1 1 1 1 2 2 2 2 3Distance (miles a nurse is preparing to administer nystatin 400,000 units po. available is nystatin powder 500,000 units/ 0.125 tsp. the nurse reconstitutes a container of nystatin to yield a final concentration of 500,000units/ 120 ml. how many ml? The population of a city decreases by 4.9% per year. If this year's population is 393,000, what will next year's population be, to the nearest individual? Which of the following pairs of goods is an example of substitutes?A. Shirts and trousersB. Pen and InkC. Petrol and DieselD. Coffee and Sugar A circle centered at $A$ with a radius of $1$ and a circle centered at $B$ with a radius of $4$ are externally tangent. A third circle is tangent to the first two and to one of their common external tangents as shown. What is the radius of the third circle