[tex]2^{x^2-5x}=\frac{1}{64}[/tex]

Answers

Answer 1

Answer:

2, 3

Step-by-step explanation:

See attached images for work.

[tex]2^{x^2-5x}=\frac{1}{64}[/tex]
[tex]2^{x^2-5x}=\frac{1}{64}[/tex]

Related Questions

oas on a callable bond is 75 basis points using on-the-run treasuries as benchmark rates. which is correct?

Answers

When the callable bond is 75 basis points using on-the-run treasuries as benchmark rates,it implies that the nominal speed is 75bp over the treasury benchmark rates.

What is a bond?

It should be noted that a callable bond is the debt instrument whee the issuer has the right to return the principal of the investor.

Callable bonds are also known as redeemable bonds and they're paid off before the maturity date of the bond by the issuer.

It gives room for companies to pay off their debt early and then get benefit regarding favorable interests.

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You work for a lending institution and are tasked with whether or not to approve a home loan, using the standard 28/36 ratio. the loan application is for $230,000. you see that the applicant has an annual salary of $83,000. the applicant also has a car payment of $315, a student loan of $140 and a boat loan of $96. how likely are you to approve the loan? a. very likely; recurring debt is considerably less than what is allowed. b. somewhat likely; recurring debt is very close to what is allowed. c. not likely; recurring debt is higher than what is allowed. d. there is not enough information given to determine the answer.

Answers

You work for a lending institution and are tasked with whether or not to approve a home loan, its  Somewhat likely; that recurring debt is very close to what is allowed. Option B.

What is recurring debt?

Generally,  any payment that is utilized to repay debt obligations that occur on a continuous basis is said to be recurrent debt.

In conclusion, Recurring debt consists of payments that cannot be readily canceled at the request of the payer. Examples of this kind of debt include alimony, child support, and loan installments.

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Answer:

its B

Step-by-step explanation:

after 1 year, 80% of the initial amount of a radioactive substance remains. what is the half-life of the substance? half-life is

Answers

If a radioactive substance remains 80% of the initial amount then the half life of the radioactive substance is 2.5 years.

Given 80% of the initial amount of a radioactive substance remains.

If after 1 year the value or weight of the radioactive substance remains 80% means the rate of disappearing is 20% per annum.

If we clearly observe then it is forming a geometric progression and the rate is 80%.

Geometric progression will be if we assume the initial quantity be 100

is:

100,80,64,.........

we have to calculate the value of years in the value of term is 0.

the value of nth term of a geometric progression is [tex]ar^{n-1}[/tex]

so,

r is 0.8

100*[tex]0.8^{n-1}[/tex]=0

[tex]0.8^{n-1}[/tex]=0

if we calculate this we will find n-1=11

n=12

So the full life of radioactive substance is 12 and the half life will be 6 years.

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y is directly proportianal to x when y is 30 x is 6. work out the equation connecting y and x

Answers

Answer:

Step-by-step explanation:

Solution

The general equation for this kind of problem is

y = k x

30 = k * 6                Divide both sides by 6

30/6 = 6k/6             Combine

5 = k

So the connection between x and y is that to get a value for y, you must divide it by 6.

A prism has 2 congruent hexagonal bases like the one shown. Each hexagon is made from 2 congruent isosceles trapezoids.

A hexagon is shown. The hexagon is comprised of 2 congruent isosceles trapezoids. The bases of the trapezoid have lengths of 5 and 8. The height of the trapezoid is 3.

The volume of the prism is 234 cubic units. What is the height of the prism?

3 units
4 units
6 units
8 units

Answers

Answer:

the answer is 4 units im pretty sure

Step-by-step explanation:

The height of the prism is 6 units.

The correct option is C.

What is a prism?

A prism is a polyhedron in three dimensions with two identical ends.

To find the height of the prism, we need to use the formula for the volume of a prism, which is:

Volume = Base area x Height

Since the prism has two congruent hexagonal bases, we can find the base area by adding the areas of the two congruent isosceles trapezoids.

The area of an isosceles trapezoid is given by the formula:

Area = ((b1 + b2) / 2) x h

where b1 and b2 are the lengths of the two parallel bases, and h is the height of the trapezoid.

In this case, the two parallel bases have lengths of 5 and 8, and the height of each trapezoid is 3, so the area of one trapezoid is:

Area = ((5 + 8) / 2) x 3 = 19.5 square units

The base area of the prism is then:

Base area = 2 x 19.5 = 39 square units

We are given that the volume of the prism is 234 cubic units, so we can use the formula for the volume of a prism to find the height:

Volume = Base area x Height

234 = 39 x Height

Height = 6 units

Therefore, the height of the prism is 6 units.

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A biologist watches and records the number of hippos that visit a particular
watering hole over a 30-day period. What method is the scientist using to
collect data?
OA. Observational study
OB. Survey
C. Control
D. Experiment

Answers

The correct answer is option A which is  Observational study.

What is an observational study?

This is an example of an observational study because the biologist is not interfering or interacting with the subjects of the study but just watching and registering data (recording with cameras).

The biologist is not conducting an experiment because (he is not setting up special conditions to register different responses to drive conclusions), and the biologist is not making any survey (questionnaires for example).

Therefore the correct answer is option A which is  Observational study.

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Which shows how to find the value of this expression when X=-2 and Y = 5?

(3x®y-2)2

32 (-2)

54

3(-2)6

54

32(5) 6

(-2)

3

(2) 854

Answers

Answer:

(3^2(-2)^6)/5^4

Step-by-step explanation:

See attached image.

cho tam giác DEF cân tại D có đường trung tuyến DI
a) Chứng minh tam giác DEI = tam giác DFI
b) Các góc DIE và góc DIF là góc gì

Answers

Can u translate yo English pls

find the eslope of the line pasing throungh the points A(5,-9) and B (-5,7).

Answers

Step-by-step explanation:

(7+9)/(-5-5)= 16/-10= -8/5

y + 9 = -8/5(x - 5)

y + 9 = -8/5x + 8

y = -8/5x - 1

If x+y=4 and x-y=k, what does x equal?

If x+y-z=8 and x-y+z=12 then x=

If x=3b and y=2/6b+4, what is x in terms of y?

Answers

The values of x are (4+k)/2 and 10. The value of the variable x in terms of y is x = y -4

System of equations

These are equations that contains several equations and unknowns.

Given the following system of equation

x+y=4

x-y=k

Add both equation

x + x = 4 + k

2x = 4+k

x = (4+k)/2

For the equation  

x+y-z=8  

x-y+z=12

Add both equations

2x = 8 + 12

2x = 20

x = 10

The value of x from the equation is 10

Given the equations

x=3b

y = 2/6b+4,

______________

b = x/3

Substitute

y = 2/6(x/3)+4

y = x + 4

x = y - 4

Hence the value of the variable x in terms of y is x = y -4

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B. 21cm 32° L 122° D 0 The perimeter of kite LODI is 74 cm. Find:
1. m/LOD=
2. mLODI =
3. Measure of LO = Why?
4.Measure of ID= Why? ​

Answers

1) Angles IDO and ILO are congruent, and both measure 122 degrees. So, as angles in a quadrilateral add to 360°, angle LOD measures 360-122-122-32=84°

2) As referred to in the first question, angle ODI measures 122°

3) In a kite, there are two pairs of disjoint congruent sides. This means that in this case, ID=IL=21 and LO=OD. As the perimeter is 74, this means LO=(74-21(2))/2=16

4) LI=ID, so ID=21

Solve for x.
2 In ( x + 6 ) = 10​

Answers

Corrected question :

Solve for x. 2 ( x + 6 ) = 10

Solution :-

>> 2 ( x + 6 ) = 10

Multiplying 2 into (x + 6),

>> 2 × (x + 6) = 10

>> 2x + 12 = 10

Transposing 12 to R.H.S. (Remember that sign would be changed to negative),

>> 2x = 10 - 12

>> 2x = -2

Dividing them,

>> x = -2 / 2

>> x = -1

Answer:

[tex]\displaystyle{x=e^5-6}[/tex]

Step-by-step explanation:

Given the equation:

[tex]\displaystyle{2\ln (x+6)=10}[/tex]

Divide both sides by 2:

[tex]\displaystyle{\ln (x+6)=5}[/tex]

Convert to exponential form using the property of:

[tex]\displaystyle{\ln M = N \to e^N = M}[/tex]

Henceforth, we will have [tex]\displaystyle{e^5=x+6}[/tex] then subtract both sides by 6:

[tex]\displaystyle{x=e^5-6}[/tex]

PLEASE HELP!

Which of the following is the graph of the piecewise function f (x) =
(photos attached)

Answers

The graph first represents the provided piecewise function option first is correct.

What is a piecewise function?

The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.

We have a piecewise function shown in the picture.

[tex]\rm y=\left\{x\le-2:\sqrt{-x-2}\right\}[/tex]

[tex]\rm y=\left\{-2 < x < 1:\dfrac{x}{x^{2}+x-2}\right\}[/tex]

[tex]\rm y=\left\{x\ge1:\log_{2}\left(x+1\right)\right\}[/tex]

After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.

Thus, the graph first represents the provided piecewise function option first is correct.

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PLEASE HELP IT IS DUE AT 11:15

Answers

Answer:

35, 31, 25, 18

Step-by-step explanation:

10 x 7/2 = 35

10 + 7 + 14 = 31

8 1/3 x 6/2 = 25

4 1/3 + 5 1/3 + 8 1/3 = 18


[tex] \frac{1 }{4 } \times \frac{3}{4} \div \frac{10}{3} [/tex]
What is the answer to the above equation?

Answers

Answer:

Step-by-step explanation:

Solution

This (after combining the top 2 fractions, is a 4 tier fraction.

1/4*3/4 = 3/16

So the question now becomes 3/16 ÷ 10/3

The rule for such a question is invert (turn up side down) the second fraction and multiply.

3/16 * 3/10                   Combine

(3*3)/(16* 10)          

9 / 160

0.05625

[tex]\bf{\dfrac{1}{4}\times\dfrac{3}{4}\div\dfrac{10}{3} }[/tex]

Multiply 1/4 by 3/4 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

[tex]\bf{\dfrac{1\times3}{4\times4}\div\dfrac{10}{3} \ \ \to \ \ \ Multiply.}[/tex]

Do the multiplications in the fraction 1 × 3 / 4 × 4.

[tex]\bf{\dfrac{3}{16}\div\dfrac{10}{3} }[/tex]

Divide 3/16 by 10/3 by multiplying 3/16 by the reciprocal of 10/3.

[tex]\bf{\dfrac{3}{16}\times\left(\dfrac{3}{10}\right) }[/tex]

Multiply 3/16 by 3/10 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

[tex]\bf{\dfrac{3\times3}{16\times10 } \ \ \to \ \ \ Multiply }[/tex]

Do the multiplications in the fraction 3 × 3 / 16 × 10

[tex]\bf{\dfrac{9}{160} \ \ \to \ \ Answer }[/tex]

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

HELP ASAP!
Consider right triangle DEF below.

Answers

Answer
This is how too apply it in trig when trying to find a side with only the degree and the side.

The trigonometric relation is solved and the length of side DE is given by the relation DE = 3.8 ( tan 40° )

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔEFD

Now , the measure of side EF = 5 units

The measure of side DF = 3.8 units

And , from the trigonometric relations , we get

tan θ = opposite / adjacent

On simplifying , we get

tan 40° = DE / DF

Multiply by DF on both sides , we get

DE = 3.8 ( tan 40° )

Hence , the trigonometric relation is solved

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1. If x³ +3x²-4=0 has x=-2 as a root (zero), find the other two roots.

Answers

Answer:

1 and -2 (has a multiplicity of 2)

Step-by-step explanation:

so since x=-2 is a root then (x+2) is a factor of the polynomial. This means you can divide the polynomial by (x+2) by using synthetic or long division. So for this example I'll using synthetic division which is much more simple than long division

-2 | 1   3    0   -4

         -2   -2    4

     1    1    -2   0

(x+2)(x²+x-2)

Now you can factor the quadratic into

(x+2)(x-1)

x+2 = 0

x = - 2

x-1 =0

x = 1

PLS HELP QUICKLY

f(x)= 3x² + 4x - 6
g(x) = 6x³5x² - 2
Find (f+g)(x).
A. (f+g)(x) = -6x³ +8x² + 4x - 4
B. (f+g)(x) = 6x³ - 2x² + 4x-8
c. (f+g)(x) = 6x³ + 3x²-x-8
D. (f+g)(x) = 9x³-x-8

Answers

Answer:

(A) 6x³+8x² + 4x - 4, but only if my change is correct to 6x³5x² - 2 is correct.

Step-by-step explanation:

Is "g(x) = 6x³5x² - 2" meant to be g(x) = 6x³-5x² - 2?

If so, (f+g)(x) = 3x² + 4x - 6 - (6x³-5x² - 2)

(f+g)(x) = 3x² + 4x - 6 - 6x³+5x² + 2

(f+g)(x) = 6x³+8x² + 4x - 4

(A)

!!!HELP!!!
A plane intersects one cone of a double-napped cone such that the plane is parallel to the generating line.
What conic section is formed?
A. hyperbola
B. circle
C. parabola
D. ellipse

Answers

Answer: C. Parabola

Definition: a parabola is a conic section in which it is mostly characterised of having a U-shape wherein it is symmetrical and an open plane curve.

NEED HELP WITH THIS ASAPP PLEASE HELP RN!!

Answers

Answer:

See attached image

Step-by-step explanation:

Is (−1, −1) a solution to the following system of inequalities? Show work to verify algebraically. Then, provide an explanation below.

Answers

Yes this is a solution.

A way you can figure this out is by plugging in (-1, -1) to their corresponding values in both equations. The first -1 would replace all x values. The second -1 would replace all Y values.

After simplifying the first equation gives
-1 >= -4 + 3
-1 >= -1 TRUE

The second equations gives

-1 - (-2) >= 1
1 >= 1 TRUE

What is the value of cos theta in the diagram below
O 3/5
O3/4
O 4/5
O4/3

Answers

The value of cos θ is 3/5.

What is Trigonometry?

Trigonometric ratios can be used to determine the ratios of any two sides out of a total of three sides of a right-angled triangle in terms of the respective angles.

Here, given point on circle is (0.6, 0.8) or (3/5 , 4/5)

x - axis (base) = 3/5

y - axis (Perpendicular) = 4/5

Radius (Hypotenuse) = 1

Now, we know

cos θ = Base / Hypotenuse

cos θ = 3/5

Thus, the value of cos θ is 3/5.

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Assume that A TUVE AWXY. Which of the following congruence statements
are correct? Check all that apply.
A. ZX=ZU
B. ZY ZV
C. VU = YX
D. TV = WY
E. ZWE ZV
F. ZTE ZX

Answers

Congruent triangles are exact copies of each other. The correct options are 1, 2, 3, and 4.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes the length of line segment AB, and so on for others).

The following details about the two given congruent triangles TUV and WXY can be written,

[tex]\rm m\angle T = m\angle W \: or \: \: \angle T \cong \angle W\\\\\rm m\angle U = m\angle X\: or \: \: \angle U \cong \angle X \\\\\rm m\angle V = m\angle Y \: or \: \: \angle V \cong \angle Y \\\\\rm |TU| = |WX| \: \: or \: \: TU \cong WX\\\\\rm |VU| = |YX| \: \: or \: \: VU \cong VU\\\\\rm |TV| = |WY| \: \: or \: \: TV \cong TV[/tex]

Hence, the correct options are 1, 2, 3, and 4.

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Answer: A,,B, C, D

Step-by-step explanation:

Trihao is driving from cambridge to london Assume the distance between cambridge and london is 100 km Given that trihao drives at an average speed of 80km/h work out his journey time

Answers

average speed equals distance over time 100/80 will give you 5/4

Francisco is playing a game with 3 green, 2 yellow, 4 red, and 3 black marbles in a bag. He has calculated the probability of drawing a yellow marble, not replacing it, and then drawing a red marble. Explain the error in his solution.

Answers

The correct answer will be 2/33.

What is Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Well, the problem is that he does not replace the first marble after he draws it.

Therefore, yes, he has a 2/12 probability of drawing a yellow marble first, but then he has a 4/11 probability of drawing a red marble second, not 4/12.

This is because there are going to only be 11 marbles left in the bag after he draws the first marble and does not replace it.

The correct answer would be:

(2/12)(4/11)

=8/132

=4/66

=2/33

Thus, the correct answer will be 2/33.

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y = 1/4x + 5, (−1, 6)

Answers

Answer:

This point is not on the line, NOT TRUE

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

           b represents the y-intercept

where the format of a point is (x, y)

Given: y = 1/4x + 5, (−1, 6)

we can plug in the point (−1, 6)

6 = 1/4(-1) + 5

6 = -1/4 + 5

6 = 4.75

6 does not equal 4.75 so this point is not on the line

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Directions: Read, analyze, and choose the letter of the correct answer. Write your
answer in your notebook.

1. A comfortable ambient temperature is called room temperature. Approximately,
how hot or cold is it?

A. 20 OC B. 20 OF C. 40 OC D. 40 OF

2. Convert: 5da = _______hr

A. 300 B. 240 C. 120 D. 60

3. Pasig river can discharge a maximum of 56 m3 per second of water. How many
liters per second can it discaharge?

A. 56 B. 560 C. 5 600 D. 56 000

4. A snail moves at a constant rate of 25 cm per minute. At this rate, how many
hours will it take the snail to crawl 75 m?

A. 3 B. 4 C. 5 D. 6
5. The human body can normally endure a temperature of 105 0F but for a short
period of time only, otherwise, there will be permanent damage to the brain and
vital organs. What is the equivalent temperature in 0C?

A. 37 B. 37.5 C. 40.56 D. 45.56

Answers

1) The normal room temperature is said to be about 20°C

2) 5 day is equivalent to 120 hr

3) 756 m³/s is equivalent 56000 L/s

4) It would take the snail 5 hours to crawl 75 m

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

1) The normal room temperature is said to be about 20°C

2) 1 day = 24 hr

5 day = 5 day * 24 hr per day = 120 hr

3) 1 m³ = 1000 L

756 m³/s = 56 m³/s * 1000 L/m³ = 56000 L/s

4) 1 m = 100 cm

75 m = 7500 cm

Time = 7500 / (25 cm/min) = 300 min = 5 hours

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Determine if the given statement is sometimes, always, or never true:
Alternate interior angles ______ congruent.

A.always
B.sometimes
C.never

Answers

If two parallel lines are cut by a transversal - alternate interior angles are always congruent.

However this doesn’t mean always in this case. So sometimes!

What is the name of an item that you will buy only once?

Answers

The name of an item that a person can only buy once in one's lifetime are:

A strong quality outdoor trash can.A  high-quality knife set.Can opener.Corkscrew.Measuring cups, etc.What are lifetime products?

These are known to be a product that one can buy and a person can use for a lifetime until they grow tired of using it.

Note that not all product can or need to last forever but there are a lot of products that can actually do. some of which are:

A strong quality outdoor trash can.A  high-quality knife set.Can opener.Corkscrew.Measuring cups, etc.

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A right angle measures 90 degrees

Answers

Step-by-step explanation:

yes right angle measure 90 degrees

mark me brainliest

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21. Mark saw Joe and Sara, who are both taller than 1.8m, playing basketball whilewearing bright shoes. Joe invited his friend Jim, who is heavy-set at around 108kgand about 1.7m tall, to join them for football the next morning. After playing, they allhad to finish homework that was due the next day, a Tuesday. On which day didMark see Joey and Sara play basketball while wearing white shoes? *a. Sunday.b. Saturday.c. Monday.d. Cannot be determined. An employee handling key management discovers that a private key has been compromised. Evaluate the stages of a key's life cycle and determine which stage the employee initiates upon learning of the compromise. Black coat color is dominant over white coat color in guinea pigs. in addition to coat color, rough coat is dominant over smooth coat. b. Demonstrate a cross between a heterozygous black/homozygous smooth and homozygous white/heterozygous rough. describe the phenotypes as fractions? The figure below shows a square ABCD and an equilateral triangle DPC:ABCD is a square. P is a point inside the square. Straight lines join points A and P, B and P, D and P, and C and P. Triangle DTed makes the chart shown below to prove that triangle APD is congruent to triangle BPC:Statements JustificationsIn triangles APD and BPC; DP = PC Sides of equilateral triangle DPC are equalIn triangles APD and BPC; AD = BC Sides of square ABCD are equalIn triangles APD and BPC; angle ADP = angle BCP Angle ADC = angle BCD = 90 so angle ADP = angle BCP = 60Triangles APD and BPC are congruent SAS postulateWhat is the error in Ted's proof? (1 point)He writes the measure of angles ADP and BCP as 60 instead of 45.He uses the SAS postulate instead of AAS postulate to prove the triangles congruent.He writes the measure of angles ADP and BCP as 60 instead of 30.He uses the SAS postulate instead of SSS postulate to prove the triangles congruent. ax +by = 163x+2y=64In the system of equations, a and b are constants. if the system has infinitely many solutions, what's the value of ab? Which answers describe the shape below? (MULTIPLE ANSWERS)(Picture above)A. Quadrilateral B. ParallelogramC. Rectangle D. Trapezoid E. RhombusF. Square How do living organisms help the soil A Senator who votes based on what she thinks is best for her constituency is called a Group of answer choices constituency. delegate. whip. trustee. A client comes to the emergency department following an assault and is extremely agitated, trembling, and hyperventilating. Which initial nursing action is appropriate Why does carbonic acid gives an acid salt but hydrochloric acid does not? Use slopes and y-intercepts to determine if the lines 10x+3y=3 and 5x4y=3 are parallel. Which TWO of the following processes will increase the concentration of al solution? (a) Increase the amount of solute. (b) Decrease the amount of solute. (c) Increase the amount of solvent. (d) Decrease the amount of solvent. A cup of water is warmed from 21 C to 85 C. What is the difference between these two temperatures, in kelvins? Maria expanded the following square as follows: (x+3) =x+9, is this correct? 1 peasant changed rabbits to hens and 2 rabbits were equal to 3 hens, each hen produced the eggs that were equal to of the total number of hens, the peasant sold the eggs, 9 eggs will cost as many pennies as each hen that produced the eggs and totally he got 72 pennies so how many hens and how many rabbits he had? Which event takes place during normal fertilization? What is the volume of the cone shown below?A. 1344 cu. unitsB. 504 cu. unitsC. 4032 cu. unitsD. 2016 cu. units A box with a mass of 40 kg sits at rest on a frictionless tile floor. with your foot, you apply a 20 N force in a horizontal direction. what is the acceleration of the box? can u help me pleasee? All are true of Carnegie, Rockeffeller and Vanderbilt exceptO they were captains of industryO were leaders in their industryO provided services to AmericansO made their wealth during industrialization