Evaluate the following equations

Evaluate The Following Equations

Answers

Answer 1

Step-by-step explanation:

A....

Solution ,

[tex] = \frac{h - 3}{3} = 3h \\ [/tex]

[tex] = h - 3 = 9h[/tex]

[tex] = h - 3 - 9h = 0[/tex]

[tex] = h - 9h = 3[/tex]

[tex] = - 8h = 3[/tex]

Change the sign of both side

[tex] = 8h = - 3[/tex]

[tex] = h = - \frac{3}{8 } \\ [/tex]

B....

Solution,

[tex] = \frac{t}{2} = \frac{t + 1}{5} \\ [/tex]

Multiply the both side by the least common multiple to eliminate the fraction...

[tex] = 5t = 2t + 2[/tex]

[tex] = 5t - 2t = 2[/tex]

[tex] = 3t = 2[/tex]

[tex] = t = \frac{2}{3} \\ [/tex]


Related Questions

Determine whether the sequence is arithmetic, geometric or neither.

0.25, 2, 16, 128, 1024

Answers

It is geometric because when you reduce all the created fractions from the sequence, all r’s equal 8.

If you were to track coffee preferences among your co-workers for the next two weeks, which type of statistical study would you be performing? (statistics)

Answers

Answer:

Well I would say inferntial because its more testing your hyptohsis between two friends to see which coffe they like more

19. If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?
O 16, -16
O 16, 1/16
O 8,-8
O 8,1/8

Answers

Answer:

16, 1/16

Step-by-step explanation:

[tex](4)^2 =16[/tex]

[tex](4)^{-2} =\frac{1}{16}[/tex]

Hope it helps you in your learning process.

[tex]\large{\textsf{\textbf{Answer\::}}[/tex]

Option B

[tex]\large{\textsf{\textbf{Calculations\::}}[/tex]

If the base is 4 , and the exponent is 2 , then the expression looks as follows :

[tex]\textbf{\textsf{$4^2$}}[/tex]

So we multiply 4 times itself .

The answer is :

[tex]\textsf{\textbf{16}}[/tex]

Detail : 4² is not equal to 4×2 , and here's why .

4² = 4 × 4 = 16

4 × 2 = 8

Now , if the exponent is negative , then we turn the number over as follows :

4⁻² = [tex]\mathsf{\dfrac{1}{16} }[/tex]

So the right option is :

[tex]\bigcirc[/tex] 16 , -16

[tex]\bigcirc\!\!\!\!\!\!\bigstar[/tex] 16 , 1/16

[tex]\bigcirc[/tex] 8 , -8

[tex]\bigcirc[/tex] 8 , 1/8

(Option B is right)

[tex]\footnotesize\text{hope\:helpful~}[/tex]

The radius of a circle is 19 meters. What is the circle's circumference?
r=19 m
Use 3.14 for ​.

Answers

Answer:

59.66

Step-by-step explanation:

The following table gives data relating the intensity of exercise on a scale of 0-1 and the pulse rate of the person. If the intensity were to increase to 0.90(assuming. the rate stays the same), approximately what would be the associated pulse rate?

SHOW STEPS

Answers

Answer: [tex]The[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]C.[/tex] [tex]200[/tex]

Step-by-step explanation:

[tex]I ~can ~see ~that ~it ~does~ not ~appear ~to ~be[/tex] [tex]LINEAR[/tex]

[tex]y = 73e^kx[/tex] [tex]< ---~pulse~rate[/tex]

[tex].7[/tex] [tex]when[/tex] [tex]y = 155[/tex] [tex]< ---~sub ~in ~x[/tex]

[tex]155 = 73 e^(.7 * k)[/tex]

[tex]ln ( 155/73) = .7k[/tex]

[tex].75296567 = .7k[/tex]

[tex]k = 1.07567[/tex]

[tex]for[/tex] [tex]x = 0.9 :[/tex] [tex]pulse rate = y = 73 e^(1.07567[/tex] [tex]^. .9) = ~ 192[/tex]

[tex]Therefore~your~answer~is:~C.~200[/tex]

Can you guys help me please :(

Answers

Answer:

Step-by-step explanation:

18:

44yd x 27 yd = 1188 yd,

then subtract the two unshaded squares, 2 x (22 x 6) = 264

1188 - 264 = 924[tex]yd^{2}[/tex]

Solve: h9 = 2781


this is a fun fact belh bla

Answers

Answer:

309

Step-by-step explanation:

2781/9

What is the probability of a red on this spinner?
Be sure to reduce.
? 1

Answers

Answer:

1/4 is the correct answer

Suppose A and B are dependent events. If P(AIB) = 0.55 and P(B) = 0.3, what is P(AB)?
A. 0.22
B. 0.11
C. 0.165
D. 0.275

Answers

Answer: C. 0.165

Step-by-step explanation:

The value of P(A∪B) = 0.835

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that, A and B are dependent events. If P(AIB) = 0.55 and P(B) = 0.3,

0.55 = P(A∩B) / 0.3

P(A∩B) = 0.165

P(A) = 1-P(B)

P(A) = 1-0.3

P(A) - 0.7

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 0.3+0.7-0.165

P(A∪B) = 0.835

Hence, the value of P(A∪B) = 0.835

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What is the last number in the 9th line

Answers

44 is the last number

most likely

Find the distance between the two given points:
(-5,-2);(-6, -6)

Answers

answer:
(-1, -4) or 1 to the left and 4 down

explanation:
to find the distance between two points on a coordinate plane, you have to subtract. (x_2 - x_1), (y_2 - y_1). -6 - -5 = -1 and -6 - -2 = -4. the second point is 1 to the left and 4 down from the first.

Solve the system of two linear inequalities graphically.

2x +4y <-16

x ≥ 2

graph the solution set of the first linear inequality

Answers

Answer:

See attachment

Step-by-step explanation:

Isolate y in the first inequality:

[tex]2x + 4y < -16\\4y < - 16 -2 x\\y < -4 -\frac{1}{2} x\\y < -\frac{x+8}{2} \\[/tex]

Now, with both x and y inequalities found, graph it.

A board is 86 inches long. How long is it in feet and inches?

Answers

Answer:

7 feet and 2 inches

Step-by-step explanation:

12 inches in a foot, which in the case of 86 we would have 7 feet 84 inches which leaves us with 2 extra inches hence 7'2"

Of the 528 clients at Bernie's salon, 122 of them have black hair. What is the probability that a randomly selected client at Bernie's salon has black hair? Write your answer as a fraction or whole number.

Answers

The probability that a randomly selected client at Bernie's salon has black hair is 61 / 264.

What is the probability?

Probability measures the odds that a stated event would occur. The odds the event happens lies between 0 and 1.

The probability that a client at Bernie's salon has black hair = number of clients with black hair / total number of clients

122 / 528 = 61 / 264

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Find the perimeter of ABC

Answers

Answer:

36 ft

Step-by-step explanation:

[tex]\triangle ABC\sim\triangle DEF[/tex] (Given)

Perimeters and corresponding sides of similar triangles are in proportion

[tex]\implies\frac{P( \triangle ABC)}{P(\triangle DEF)}=\frac{BC}{EF}[/tex]

[tex]\implies\frac{P( \triangle ABC)}{12}=\frac{15}{5}[/tex]

[tex]\implies\frac{P( \triangle ABC)}{12}=3[/tex]

[tex]\implies P( \triangle ABC) =12(3)[/tex]

[tex]\implies P( \triangle ABC) =36 \: ft[/tex]

Which equation can be used to determine the value of x?
(6x + 2) + 40 = 90
(6x +2) + 40 = 180
None of these
(6x + 2) = 40
All of these

Answers

Complementary angles have sum 90°

Hence

6x+2+40=90

Option A

6x+42=1806(x+7)=6(30)x+7=30x=23

Answer:

A)(6x + 2) + 40 = 90

Step-by-step explanation:

(for convenience, I have labelled it with alphabets)

Line ED has crossed line AB perpendicularly resulting [tex]\angle BFC[/tex] and [tex]\angle CFD[/tex] complimentary to each other. That means

[tex]\angle BFC+\angle CFD=90^{\circ}[/tex]

Here:

[tex]\angle BFC=(6x+2)^{\circ}[/tex] [tex]\angle CFD=40^{\circ}[/tex]

Hence,

The equation can be used to determine the value of x is

(6x + 2) + 40 = 90

In conclusion

Our answer is A)

What is the simplest form of StartRoot 3,025 EndRoot?

16
55
52(112)
52+(112)

Answers

I’m pretty sure it 52(112)

Find the area of the regular polygon 10, 4

Answers

With all the given context, I would assume it’s length times width, which would give us an answer of 40 :) hope this helped !

hat is the area of one base of the triangular prism? 24 square units 48 square units 160 square units 200 square units

Answers

Answer:

24 a.)

Step-by-step explanation:

the base is a triangle

A living room set is discounted 1/3 of the price what percentage is the discount?

Answers

the answer will be 33.33% percent

Use the graph to complete the table.

Answers

(10, 5)

(12, 7)

(14, 9)

What is the slope of the line?

m=​

Answers

Answer:

The slope is [tex]-\frac{4}{3}[/tex]

Step-by-step explanation:

Standard form for a linear equation/graph:

[tex]y = mx + b[/tex]

[tex]m[/tex] is the slope, and [tex]b\\[/tex] is the Y- intercept (basically where the graph crosses the y axis).

[tex]m[/tex] can be shown by a fraction: [tex]\frac{Rise}{Run}[/tex]

In this graph, measuring from the two points of contact, the rise is 4 and the run is -3. If the graph moves towards the left while rising, then the run part of the slope should be negative, and vice versa.

Thus, the slope of this graph is [tex]-\frac{4}{3}[/tex]

Here's the function for the line if you need it:

[tex]y = - \frac{4}{3} x + 3[/tex]

Solve the following equation. 14 = w2

Answers

14=w2
Take 2 divided by 2 and 14 divided by 2
7=w

240inches equals how many feet

Answers

240 inches divided by 12 inches = 20 feet
Since 12 inches = 1 foot

pls help
find f(p-5)

Answers

[tex]\text{Given that,}~f(j) = -5j-4\\\\f(p-5) = -5(p-5) -4\\\\~~~~~~~~~~~~=-5p+25-4\\\\~~~~~~~~~~~~=-5p+21[/tex]

A freight elevator can hold a maximum weight of 3,500 pounds.
A deliveryman weighs 200 pounds. He is delivering cartons that each
weigh 48 pounds. He wants to know how many cartons he can safely
put on the elevator at one time. Let c represent the number of cartons.

Answers

Answer:

C

Step-by-step explanation:

[tex]200 + 48c \leqslant 3500[/tex]

[tex]48c \leqslant 3300[/tex]

[tex]c \leqslant 68.75[/tex]

Kathleen says that all quadrilaterals have right angles. Grace says that quadrilaterals do not have to have right angles. Explain who is correct.

Answers

Answer: Grace is correct because a rhombus does not have right angles

Step-by-step explanation:

Grace's assertion is on point. Right angles are not present in all quadrilaterals.

What is quadrilateral?

A quadrilateral in geometry is a four-sided polygon with four edges and four corners.

As per the definition of Quadrilateral and rectangle, the rectangle is the type of quadrilateral that has 4 right angles.

Other varieties of quadrilaterals consist of:

Trapezium: Doesn't must have four right angles, but has one pair of opposite sides that are parallel.

A parallelogram has four right angles, but not necessarily two sets of opposite sides that are parallel.

All four sides of a rhombus are equal in length, although there aren't always four right angles.

Kite: Does not must have four right angles, but two adjacent pairs of sides that are equal in length.

Therefore, Grace's assertion is right.

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Pema is 85 months old and Rinzin is 7⅔ years old. who is older? How do you know?
help me slove this please ​

Answers

Answer:

Rinzin is older

Step-by-step explanation:

The reason is that since you probably already know that there are 12 months in a year it would be 85/12=7.0833 years and 23/12=7.666 so that makes rinzin older

Hope that helps :)

Pema is older than Rinzin if Pema is 85 months old and Rinzin is 7⅔ years old.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Pema is 85 months old and

Rinzin is 7⅔ years old.

We have to check who is older.

We know that 1 year = 12 months

So if 85 months are conveted to years by dividing 85 by 12

Pema, 85/12 years= 7.08 years

Rinzin, 7⅔ years = 7.06 years

We know that 7.08>7.06

Hence, Pema is older than Rinzin if Pema is 85 months old and Rinzin is 7⅔ years old.

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Question 20
Mr. Stakur rolls a 20-sided die ten times. He rolls were 1,2,3,3,4,6,7,7,8, and 11,
Find the experimental probability Find the experimental probability of Norris rolling at least 10,
Was this higher or lower than what should have theoretically happened?
А
10 percent, Lower
B
20 percent, Higher
С
20 percent, Lower
D
10 percent, Higher

Answers

The correct option regarding the probability of rolling a number that is at least 10 is given by:

А 10 percent, Lower

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For the theoretical probability, it is calculated before any experiment. 11 out of 20 numbers are at least 10, hence it is given by:

pT = 11/20 = 0.55 = 55%.

For the experimental probability, we consider previous trials, in which one out of 10 resulted in a number that is at least 10, hence:

pE = 1/10 = 0.1 = 10%.

Which is lower than the theoretical probability, hence option A is correct.

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The area of a circle is 9π in². What is the circumference, in inches? Express your answer in terms of \piπ.

Answers

Answer:

C = 6π in

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

the area (A) of a circle is calculated as

A = πr²

given A = 9π , then

πr² = 9π ( divide both sides by π )

r² = 9 ( take square root of both sides )

r = [tex]\sqrt{9}[/tex] = 3

then

C = 2π × 3 = 6π in

The circumference of the circle is C = 6π inches

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circumference of the circle be C

Now , the area of the circle be A = 9π inches²

where area of the circle = πr²

So , r² = 9

Taking square roots , we get

r = 3 inches

Now , the circumference C = 2πr

C = 6π inches

Hence , the circumference is 6π inches

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Consequences of plagiarism Suppose JMNKQR.Which congruency statements are true?Select each correct answer.MQNJKQNMRKQKMJMNQR THINK SCIENTIFICALLYThe students in Mr. Seemy's class are about to take a test on organizing and interpreting data. Mr. Seemy asks, "What wouldyou say if I told you that those of you who got an A on this test would get $20?"Td say that's the best news I've heard all year!" exclaims Shantel. "I would be much more motivated to study if I knew!could make money for doing well."Mr. Seemy says. "The school is thinking about implementing a program to pay students when they get good grades.It would be a partnership between local businesses and the government to provide the money and payment plans.""Really?" questions Sharif. "Incentives are great, but I think that would send the wrong message to kids. There are othergood reasons for doing well in school. Money isn't everything, you know.""But it sure does help. I mean, anything that enables kids to learn more is good, right?" responds Shantel."Well, to undertake such a program, the school would need to gather evidence to support the idea that money motivatesstudents to get better grades," says Mr. Seemy. "Shantel, do you think you can prove you're right?""I'm sure of it. I'll survey everyone in 8th grade," replies Shantel, "and my evidence will show that money is the mostimportant reason students are motivated to get good grades.""I'll work with you, just to make sure you report your data accurately!" says Sharif.Shantel and Sharif's surveyStudent SurveyResponses(Total = 150)To me, the most important reason for getting good grades is...A Having my friends think I'm smartB. Getting approval/privileges (not money) from my parentsC. Being able to get a good job/get into a good college 20Getting money so I can buy stuffFeeling good about myselfB co806040D.E.AAE How did some Islamic groups respond to the presence of US troops in Saudi Arabia before September 11, 2001?a. They joined forces with the Saudi government.b. They asked for US support to take over Saudi Arabia.c. They demanded that the US withdraw its forces.d. They asked for US support to help take over Iraq. i need some real help pleas click on i have no clue i dont know spanish Producers _____.cannot make their own foodget their energy from the sunrelease carbon dioxide as a waste product of photosynthesistransfer 100 percent of their energy to the consumers that eat them Answer the question, don't mind the highlighted one A tuba can weigh up to 35 pounds. A tuba is the lowest-pitched brass instrument. write 1.8610 as an ordinary numbe good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated. Initially, a ball has an angular velocity of 5.0 rad/s counterclockwise. sometime later, after rotating through a total angle of 5.5 radians, the ball has an angular velocity of 1.5 rad/s clockwise. what is the angular acceleration? write the sentences in the passive voice Lucy didnt send the invitation cards yesterday. When you perform a rigid transformation on a figure, the figure's ________ change(s).AshapeBside measurementsCangle measurementsDposition on the coordinate plane which expression is equivalent (7x3)2(x8)1/2 Line segment st is dilated to create line segment s't' using the dilation rule dq,2.25. point q is the center of dilation. line segment s t is dilated to create line segment s prime t prime. the length of q t is 1.2 and the length of q s is 2. the length of s s prime is x and the length of t t prime is 1.5. what is x, the distance between points s' and s? x = 2.25 units x = 2.5 units x = 4.25 units x = 4.5 units Picasso's Phone Shop charges $65.54 for its activation fee plus $13.10 for every gigabyte, g, of data you use over your limit. The equation thatmodels the total cost (T) is T (g) = 13.10g +65.54 Which value in the equation represents the rate of change?A$65.54B$78.63$13.10the number of gigabytes used overI don't know yet404.02.05.1289DECom5. SE If you dont know the answer or get it wrong i will report An elevator starts at floor 9. It goes up 10 floors twice, and then it goes down 18 floors. A second elevatorstarts on floor 28. It goes down 5 floors 2 times, and then it goes up 11 floors. Which elevator ends on ahigher floor? what is the role of Canada's Governor General