There is a step missing from the solution below. Which equation is the missing step?
P=17-√0.025x+7
25=17-√0.025x+7
8=-√0.025x+7
?
57=0.025x
2280= x

A. 64=0.025x+49
B. 8=0.025x+7
C. -8= √0.025x+7
D. 64=0.025x+7

Answers

Answer 1

Answer:

option: D is the correct answer.

( D. 64=0.025 x+7 )

Step-by-step explanation:

We are given step as:

[tex]P=17-\sqrt{0.025x+7}\\\\25=17-\sqrt{0.025x+7}\\\\8=-\sqrt{0.025x+7}------(1)[/tex]

?

57=0.025x

-----------(2)

2280= x.

We are asked to find the missing step.

Clearly after equation (1)

They have squared the equation both side to obtain:

[tex]64=0.025x+7[/tex]

and then they took the constant term to the left hand side to obtain equation (2).

[tex]64-7=0.025x\\\\57=0.025x[/tex]

Hence, the correct option is:

Option: D

D. 64=0.025 x+7

Answer 2

Answer: 64=0.025x+7

Step-by-step explanation:

a p e x


Related Questions

A certain oxyacid is derived from the oxyanion so3(-2). the formula for the oxyacid is which

Answers

To make this anion into a complete acid, then this must be added with Hydrogen ion H+. So the chemical equation looks like:

H+  +  SO3(2-)  -->  ?

 

Now to balance it:

H+  +  SO3(2-)  -->  H2SO3

 

Answer:

H2SO3

Answer:

H2SO3-

Step-by-step explanation:

For the function f(t)=pe rt , if p=9 and r=0.09 then what is the value of f(9) to the nearest tenth

Answers

Answer:   f(9) = 20.2  .
_______________________________
Explanation:
_______________________________
f(9) = pe^(r*t) = 9* e^(0.09 * 9) ;
_______________________________
Note:  0.09 *9 = 0.81 .
______________________________
→ f(9) = pe^(r*t) = 9* e^0.81 ) ;
_______________________________
Note:  e^(0.81) =  2.24790798668.

f(9) = 9 * 2.24790798668 ;

      = 20.2311718801 ;

→ Round to the nearest tenth:

f(9) = 20.2  .
_________________________________

How many permutations of three items can be selected from a group of six? use the letters a, b, c, d, e, and f to identify the items, and list each of the permutations of items b, d, and f?

Answers

Number of permutations of 3 items can be selected from a group of 6 
 = 6P3
 = \frac{6!}{3!} 
 = \frac{6 x 5 x 4 x 3!}{3!} 
 = 6 x 5 x 4
 = 120

There are 120 permutations.

Permutations of items b, d and f is the different arrangement using these 3 letters & they are
bdf, bfd, dbf, dfb, fbd, fdb

The number of permutations of 6 items that can be selected from a group of 6 is; 120 ways.

List of permutations of items b,d and f is; bdf, bfd, dbf, dfb, fdb, fbd

Permutations and selection

The permutation required can be evaluated as follows;

6P3

6!/3!

6× 5× 4 × 3!/3!

= 6×5×4 = 120 ways.

The List of permutations of items b,d and f is;

bdfbfddbfdfbfdbfbd

Read more on permutation;

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This circle is centered at the point (4,5) and the length of its radius is 3. What is the equation of the circle

Answers

[tex]\bf \textit{equation of a circle}\\\\ (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2 \qquad \begin{array}{lllll} center\ (&{{ h}},&{{ k}})\qquad radius=&{{ r}}\\ &4&5&3 \end{array} \\\\\\ (x-4)^2+(y-5)^2=3^2\implies (x-4)^2+(y-5)^2=9[/tex]

Which expression represents the phrase, "one fifth the sum of 14 and a number"?

a) 15(14+x)
b) 15(14)+x
c) 15+14+x
d) 15x+14

Answers

Let

x--------> the number

we know that

1) the phrase, "the sum of 14 and a number"

represent the expression --------> [tex](14+x)[/tex]

and

2) the complete phrase, "one fifth the sum of 14 and a number"

represent the expression --------> [tex]\frac{1}{5}(14+x)[/tex]

therefore

the answer is

[tex]\frac{1}{5}(14+x)[/tex]

A student scored 83 and 91 on her first two quizzes. Write and solve a compound inequality to find the possible values for a third quiz score that would give her an average between 85 and 90, inclusive ...?

Answers

Let x be the score of the 3rd quiz,, then the average score will be:
(83+91+x)/3, which = (174+x)/3. but this average should be greater or equal to 85 and smaller or equal to 90:

85 ≤ (174+x)/3 ≤ 90
1st multiply all terms with 3 → 255 ≤(174+x) ≤ 270
2nd subtract 173 from all terms → 255-174 ≤174-174+x ≤270-174
81 ≤ x ≤ 96


Simplify. The answer should contain only positive exponents.

Answers

Do you need the answer to a specific problem, or do you need answers to all problems displayed?

When it is 10:00 am solar time at location x, at which location is 11:00 am solar time being observed?

Answers

There are a total of 360 degrees and a total of 24 hours, therefore there are 15 degrees per hour.

Location x is located at 45 degrees, so therefore the location after 1 hour must be at 60 degrees.

 

Answer:

D

Answer:

it is letter D

Step-by-step explanation:

its letter D when I was doing it, in go formative

Greg made $306 for 17 hours of work. at the same rate, how much would he make for 12 hours of work?

Answers

Divide pay by the hours work to get the rate per hour.

$306/17hrs = $18 per hour rate.

So, if he work 12hrs at $18 per hour his pay will be 12*18 = $216

The answer is $216

What is the simplest form of this?

Answers

(2x - 1)² + 1

Rewrite the equation without the "²" sign.

(2x - 1)(2x - 1) + 1

Simplify.

(4x² - 2x - 2x + 1) + 1

Simplify.

4x² - 4x + 2

~Hope I helped!~


A random sample of n = 4 scores is obtained from a population with a mean of m = 80 and a standard deviation of s = 10. if the sample mean is m = 90, what is the z-score for the sample mean

Answers

I'm just guessing but maybe its 11.

Using the approximation 3.14 for pi, what is the radius of a circle with circumference 28.3 ​m?

Answers

Using π ≈ 3.14, the radius of a circle with circumference 28.3 m is approximately 4.5 meters.

Step 1:

Write down the formula for the circumference of a circle.

The formula for the circumference (C) of a circle is given by:

[tex]\[ C = 2 \pi r \][/tex]

Step 2:

Substitute the given value for the circumference into the formula.

Given [tex]\(C = 28.3\)[/tex] m, we use the approximation [tex]\(\pi \approx 3.14\)[/tex]:

[tex]\[ 28.3 = 2 \times 3.14 \times r \][/tex]

Step 3:

Solve for the radius (r).

Divide both sides of the equation by [tex]\(2 \times 3.14\)[/tex]:

[tex]\[ r = \frac{28.3}{2 \times 3.14} \][/tex]

Step 4:

Calculate the value of (r).

[tex]\[ r = \frac{28.3}{6.28} \][/tex]

[tex]\[ r \approx 4.5 \text{ m} \][/tex]

So, the radius of the circle with a circumference of 28.3 m, using the approximation [tex]\(\pi \approx 3.14\)[/tex], is approximately 4.5 meters.

PLEASE HELP ASAP!!!
Draw a Venn diagram to illustrate this conditional:
Cars are motor vehicles.

Answers

The answer is because cars are motor vehicles

Answer:

The Venn diagram that illustrates the given conditional statement is:

                  Option: a

Step-by-step explanation:

Cars are motor vehicles.

This means that all the cars are motor vehicles but converse need not be true.

i.e. all the motor vehicles cant be cars.

i.e. Cars are contained in Motor Vehicles.

Hence, the correct Venn diagram is:  Option: a

(  Option: b represent the statement

Some cars are  Motor vehicles and some motor vehicles are cars.

Option: c represent the statement

Motor vehicles are Cars.

Option: d represent the statement:

Some motor vehicles are cars and some cars are motor vehicles.)

Alex had (3x + 1) yards of silk. He then purchases (x2 + 5x + 4) packages each containing (2x + 1) yards of silk. If he uses (2x3 + 8x2 + 10x + 4) yards of silk to make a kite, how much silk remains?

Answers

Final answer:

To find out the amount of silk remaining, we need to subtract the amount of silk used to make the kite from the total amount of silk Alex had before purchasing the packages. After performing the calculations, we find that Alex doesn't have any silk remaining.

Explanation:

To find out how much silk remains, we need to subtract the amount of silk used to make the kite from the total amount of silk Alex had before purchasing the packages. Let's first simplify the expressions:

Total silk Alex had = 3x + 1

Total silk purchased = (x^2 + 5x + 4) × (2x + 1)

Silk used for kite = 2x^3 + 8x^2 + 10x + 4

Now, substitute the given values of x:

Total silk Alex had = 3(1500) + 1 = 4501 yards

Total silk purchased = (1500^2 + 5*1500 + 4) * (2*1500 + 1) = 22537500 yards

Silk used for kite = 2(1500^3) + 8(1500^2) + 10(1500) + 4 = 53910002004 yards

Finally, subtract the silk used for the kite from the total silk Alex had:

Silk remaining = Total silk Alex had - Silk used for kite = 4501 - 53910002004 = -53910001403 yards

Since the result is negative, it means that Alex doesn't have any silk remaining.

what is the answer for 4x-9=k solve for x

Answers

4x - 9 = k

4x - 9 (+9) = k (+9)

4x/4 = (k+9)/4

x = (k+ 9)/4

hope this helps

The slope of a line is -3. Find the slope of a line that is perpendicular to this line.

A.-3
B.-1/3
C.1/3

Answers

The slope of a line is -3
perpendicular  lines, slope is opposite and reciprocal
so the slope of a line that is perpendicular to this line will be 1/3

answer
C.1/3

A segment has endpoints with coordinates - 3 and 4. What is the length of the segment?

Answers

Answer: 7 units

Step-by-step explanation: In this problem, the given numbers -3 and 4 represent the coordinates of the endpoints of a segment and we are asked to find the length of the segment.

To find the length of a segment, we take the greater endpoint coordinate minus the lesser endpoint coordinate.

In this case, the greater endpoint coordinate is 4 and the lesser endpoint coordinate is -3.

So, we have 4 - (-3) which can also be thought of as 4 + 3 which equals 7.

Therefore, the length of this segment is 7 units.

Anyone? I’m so stuck

Answers

A = 180-110 = 70

 angle A is 70 degrees

Which of the following rational numbers is equal to 2 point 8 with bar over 8 ? twenty two over nine, twenty four over nine, twenty six over nine, twenty eight over nine

Answers

just to remove ambiguities, the bar over the expression means it's repeating itself to infinity.

[tex]\bf 2.888\overline{8}\impliedby \textit{now say, let's make }x=2.888\overline{8} \\\\\\ \textit{and multiply it by 10, to move over the 8 to the left} \\\\\\ \begin{array}{llll} 10x&=&10\cdot 2.888\overline{8}\\ &&28.88\overline{8}\\ &&26+2.888\overline{8}\\ &&26+x \end{array}\implies 10x=26+x \\\\\\ 9x=26\implies x=\cfrac{26}{9}[/tex]

notice, the idea being, you multiply it by 10 at some power, so that you move the "recurring decimal" to the other side of the point, and then split it with a digit and "x".

now, you can plug that in your calculator, to check what you get.
Final answer:

The rational number that equals to 2.8 (a decimal number that has repeating 8), from the options given, is twenty six over nine (26/9) because when converted to decimal it gives 2.89, which is closest to 2.8

Explanation:

The question is asking which rational number is equal to 2.8 where the bar over the number indicates that it is repeating. The dot over the 8 implies that the number is actually 2.8888..., where the 8 is repeated indefinitely. So we need to find which fraction out of your given options: twenty two over nine, twenty four over nine, twenty six over nine, twenty eight over nine, equals to this decimal number.

To convert these fractions to decimal form:

22/9 = 2.44,
24/9 = 2.67,
26/9 = 2.89,
28/9 = 3.11

By comparing these values, we can see that twenty six over nine (26/9) is the decimal equivalent to 2.8 as it gives us 2.89 which is closest to it.

Learn more about Rational Number Conversion here:

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The measures of the interior angles in a polygon are consecutive integers. the smallest angle measures 136 degrees. how many sides does this polygon have?

Answers

Other than writing an iterative computer program to determine this answer, it can be done manually. 
Using N as the number of sides of a polygon, (N-2)180 = number of degrees of an N-sided polygon.  The range from 180 up to 1260 for a 9 sided polygon.
Starting with 136 and adding consecutive numbers to it, the answer turns out to be a 9 sided polygon of 1260 degrees.

A line has slope 56 and y–intercept −3. Which answer is the equation of the line? y=−3x+5/6 y=5/6x−3 y=3x+5/6 y=5/6x+3

Answers

Answer:

The answer is the second one for sure y=5/6x−3.

Step-by-step explanation:


The equation of the line is y = (5/6)x - 3 which is the correct answer would be option (B).

What is the equation?

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

We have been given a line that has a slope of 5/6 and a y-intercept is -3.

Let the required line of the equation would be as

y = mx + c

Where m is the slope of the line

We have given the y-intercept is -3 which means the x-coordinates will be zero.

Substitute the value of x = 0 and y = -3 in the above equation to get c.

⇒ -3 = m(0) + c

⇒ -3 = c

The slope of the line m = 5/6 which is given in the question,

Substitute the value of m = 5/6 and c = -3 in the equation y = mx + c

⇒ y = (5/6)x - 3

Therefore, the equation of the line is y = (5/6)x - 3.

Learn more about the equation here:

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Noelle has 5/6 of a yard of purple ribbon and 9/10 of a yard of Pink ribbon. How mucho ribbon does se have altogether?

Answers

Well you need to find a common denominator which 30 is the closest one. 5/6 becomes 25/30, 9/10 becomes 27/30. 27/30+ 25/30 = 52/30. To simplify that you divide by 2 to get 26/15. It is no longer divisible to a whole number after that point.

If you triple a number and add 11 you get 200 what is the number

Answers

You can set up a simple algebraic equivalent to find a number equivalent to 200 after being multiplied by 3 and added 11 to.

3x+11=200
3x=189
x=63

Had to edit! Realized what I had done wrong
Well let's work backwards to find out! Okay so subtract 11 from 200 (because you added 11) then you got 189 know and then you would divide the number by 3 (because you tripled it) so 189÷3=63 so let's try it with 63.



63 tripped is 189, 11 added to 189 is 200

So know know that it works we know it's our answer. 63

Landscapers plan to spread a layer of stone on a path. The number ss of bags of stone needed varies directly with the depth dd (in inches) of the layer. They need 20 bags to spread a layer of stone that is 2 inches deep. How deep will the layer of stone be when they use 15 bags of stone?

Answers

2/20 = x/15

cross multiply

20x/30

x = 30/20 = 1.5

it will be 1.5 inches deep


2/20 = x/15

cross multiply

20x/30

x = 30/20 = 1.5

it will be 1.5 inches deep


PLEASE HELP ME!!!! 20 PNTS!!!!!

Simplify the expression:
[tex] \frac{ \sqrt{ - 16} }{(3 - 3i) + (1 - 2i)} [/tex]
A.
[tex] \frac{ - 20 - 16i}{9} [/tex]
B.
[tex] \frac{8 + 4i}{15} [/tex]
C.
[tex] \frac{8 - 4i}{15} [/tex]
D.
[tex] \frac{ - 20 + 16i}{41} [/tex]

Answers

[tex]\frac{\sqrt{-16}}{(3-3i)+(1-2i)}\\\\\frac{4i}{4-5i}*\frac{4+5i}{4+5i}\\\\\frac{4i(4+5i)}{(4-5i)(4+5i)}\\\\\frac{16i+20i^{2}}{16+20i-20i-25i^{2}}\\\\\frac{-20+16i}{16+25}\\\\\\\frac{-20+16i}{41}[/tex]

Justin is constructing a line through point Q that is perpendicular to line n. He has already constructed the arcs shown. A line n and an arc with center Q is drawn. Center Q lies above the line n. The arc cuts the line on two points A and B. A is left of B. Another arc is made with a center at A. The arc cut the line segment A B near point B. The arc is symmetric to line A B. He places his compass on point B to construct an arc. What must be true about the width of the compass opening when Justin draws the arc?

Answers

I believe that this problem has the following choices:

It must be equal to BQ .
It must be wider than when he constructed the arc centered at point A.
It must be equal to AB .
It must be the same as when he constructed the arc centered at point A.

 

The correct answer is the last one:

It must be the same as when he constructed the arc centered at point A.

 

Answer:

The compass must be the same width as it was when he constructed the arc from point A.

Step-by-step explanation:

In order to construct a perpendicular line to a given line, we need to construct a point above and a point below the line such that the segment through them meets the line at a right angle.

When he constructed the arc from point A, it gave him one piece to creating these points.  An arc from point B, intersecting the arc from point A at two points, will give him the two points he needs.

In order for the arc from point B to intersect the arc from point A, however, the width of the compass must be the same as it was when he constructed the arc from point A.

A rectangular box has a length of 7 ft a width of 3 ft and a height of 2ft what is the volume

Answers

42 because 7x3x2=42 i know im right im a                                       
the answer is 42 beacuse all you do to solve these problems is 7x3x2 so WxFxH

PLEASE HELP!!!!!!!!!!!
Susan makes 5 fruit cups for the picnic.In each cup,she has 5 strawberries and 3 kiwi. Joanna uses the same number of total fruits to make her strawberry and kiwi fruit cups,but she uses 4 cups. In each cup she uses 8 strawberries.
How many are in each fruit cup Joanna makes?

Answers

For every One cup that Susan makes she has five strawberries and three kiwis. For every 1 cup that Joanna makes, there are eight strawberries. So now we have to figure out how many kiwi that are in her cup. So if there are eight strawberries we were going to add one for the kiwi and that will be nine. So for Joanna she uses eight strawberries and nine kiwis

The expression 6s2 represents the surface area of a cube with edges of length s. what is the cube's surface area when s = 8?

Answers

That would actually be 6*s^2
area = 6 * 8^2
area = 6 * 64
area = 384


The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.

Which equations can be used to solve for y, the length of the room? Check all that apply.

y(y + 5) = 750
y2 – 5y = 750
750 – y(y – 5) = 0
y(y – 5) + 750 = 0
(y + 25)(y – 30) = 0

Answers

The first one is right because if y=25 then25(25+5)=750 

the correct answer is

B)y2 – 5y = 750

C)750 – y(y – 5) = 0

E)(y + 25)(y – 30) = 0

I JUST took the test

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