Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options. x greater-than-or-equal-to negative 7 x less-than-or-equal-to negative 7 The graph has a closed circle. –6 is part of the solution. –7 is part of the solution.

Answers

Answer 1

Answer:

[tex]x \leq -7[/tex]

The graph has a closed circle.

–7 is part of the solution.

Step-by-step explanation:

Given

[tex]15 \geq 22 + x[/tex]

Required

Select 3 options from the given list of options

[tex]15 \geq 22 + x[/tex]

Subtract 22 from both sides

[tex]15 - 22 \geq 22 - 22+ x[/tex]

[tex]-7 \geq x[/tex]

Swap positions of the expression; Note that the inequality sign will change

[tex]x \leq -7[/tex]

This means  x less-than-or-equal-to negative 7

There are two options left to select;

The inequality sign in [tex]x \leq -7[/tex] implies that the graph has a close circle.

Inequality signs such as [tex]\leq[/tex] and  [tex]\geq[/tex] signifies a close circle

There is only one option left to select;

Lastly;

Split the expression [tex]x \leq -7[/tex] into two

We have:

[tex]x < -7[/tex] or [tex]x = -7[/tex]

Because [tex]x = 7[/tex],

Then, -7 is also a part of the solution

Answer 2

Answer:

B) x less-than-or-equal-to negative 7

C) The graph has a closed circle.

E) –7 is part of the solution.

Step-by-step explanation:

Im not 100% sure but i am 95% sure they r


Related Questions

Please help with 4.)
WILL MARK BRAINLIEST X

Answers

Answer:

a) More.

b) Less.

c) More.

Step-by-step explanation:

a) If you invest $10 with an interest rate of 50% (that's very high I know XD), you would earn 10 / 2 = $5 in interest. If you invest $100 with an interest rate of 50%, you would earn 100 / 2 = $50 in interest. So, the more principal invested, the more interest earned.

b) Let's say you are investing $100. If there is an interest rate of 50%, as stated before, you would earn $50 in interest. If the interest rate were lowered to 25%, you would earn 100 / 4 = $25 in interest. So, the lower the interest rate, the less the interest.

c) The same exact thing as part a.

Hope this helps!

the figure is cut into 8 equal pieces shade 3/4 of the figure

Answers

8 pieces divided by 4 is 2. Times that by 3 is 6 therefore the answer is 6

Answer:

You have to shade 6 pieces.

Step-by-step explanation:

Hope it helps!

.

Look at the table. Is ƒ(x) an exponential function? If so, identify the base. If not, why not?






No, there is no base common to any two successive terms.

yes, the base is 4

Answers

Answer:

yes, the base is 4

Step-by-step explanation:

please answer this A bicycle store costs $2400 per month to operate. The store pays an average of $60 per bicycle that is sold in the shop. This is called a company’s overhead. The average selling price of each bicycle is $120. How many bicycles must the store sell each month to break even? A bicycle store costs $2400 per month to operate. The store pays an average of $60 per bicycle that is sold in the shop. This is called a company’s overhead. The average selling price of each bicycle is $120. How many bicycles must the store sell each month to break even?

Answers

Answer: The store must sell 40 bikes.

Step-by-step explanation:

y=60x+2400

y=120x

120x=60x+2400

-60x on both sides

60x=2400

divide 60 on both sides

2400/60=40

x=40  

Can someone help me find the surface area

Answers

Answer:

144 m²

Step-by-step explanation:

top triangle area: (8 x 6) / 2 = 24

bottom triangle area: (8 x 6) / 2 = 24

back rectangle area: 8 x 4 = 32

left rectangle area: 6 x 4 = 24

right rectangle area: 10 x 4 = 40

add all: 144 m²

Answer:

There are 5 surfaces for which you will have to calculate area.

the back is 4 by 8  = 32 mi^2

The bottom is 4 by 6 = 24 mi^2

the tilted ramp 4 by 10 = 40 mi^2

There are 2 side triangles 8 by 6  area of 1 triangle = 8*6/2 = 24 mi^2

area of BOTH triangles = 2 * 24 = 48 mi^2

Total area = 32 + 24 + 40 + 48 = 144 mi^2

Step-by-step explanation:

write an equation for the translation of x^2 + y^2 = 49 by 7 units right and 4 units up

Answers

Answer:

(x - 7)² + (y - 4)² = 49

Step-by-step explanation:

Given

Equation: x² + y² = 49

Required:

New Equation when translated 7 units right and 4 units up

Taking it one step at a time.

When the equation is translated 7 units right, this implies a negative unit along the x axis.

The equation becomes

(x - 7)² + y² = 49

When the equation is translated 4 units up, this implies a negative unit along the y axis.

(x - 7)² + (y - 4)² = 49

The expression can be further simplified but it's best left in the form of

(x - 7)² + (y - 4)² = 49

What are the points

Answers

Answer:

Step-by-step explanation:

x-y=6

(0,-6),(6,0)

4x+y=4

(0,4),(1,0)

point of intersection:

Answer:

for first eq

three points are (7,-1) (6,0) and (5,1)

for second eq

three points are (1,0) (0,4) and (-1,8)

point of intersecton is (2,-4)

Step-by-step explanation:

check by substituting if u want

hope i helped

pls give brainliest

im trying to level up

I REALLY NEED HELP PLZZZ. I WILL MARK YOU AS THE BRAINLIEST ANSWER IF U GIVE A GOOD RESPONSE TO THE QUESTIONS!!!!

Answers

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It looks lilke one of those old'n day Juice makers

2, 3 , and 4 would be the part im talking about.

You can write : I seleted the story called Old In Day Juice Makers

( I don't know about the paragraph, sorry)

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Hope this helped you.

Could you maybe give brainliest..?

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En el mercado del satisfactor X hay 10,000 individuos idénticos, cada uno con una función de demanda definida por Qdx = 12 – Px y 1,000 productores idénticos del satisfactor X, cada uno con una función de oferta dada por Qsx = 20 Px

Answers

Answer:

Px = $4

Step-by-step explanation:

Given that:

En el mercado de satisfacción X hay 10,000 individuos idénticos, cada uno con una función de demanda definida por Qdx = 12 - Px y 1,000 productores idénticos de X satisfactorio, cada uno con una función de oferta dada por Qsx = 20 Px

El precio de equilibrio y la cantidad de equilibrio se pueden determinar de la siguiente manera;

Qdx = 10000(12-Px)

Qdx = 120000 - 10000Px

Qsx = 1000(20 Px)

Qsx = 20000 Px

El punto de equilibrio para completar el enunciado, cuando Qdx = Qsx es:

Qdx = Qsx

120000 - 10000 Px =   20000 Px

120000 =  20000 Px + 10000 Px

120000 =  30000 Px

Px = [tex]\mathbf{ \dfrac{120000}{30000}}[/tex]

Px = $4

ASAP!!! PLEASE help me with this question!

Answers

Answer:

C. 16π

Step-by-step explanation:

Well we need to find the area of the top circle which has a radius of 4cm.

π(4)^2

16π in terms of pi

Thus,

the answer is C. 16π.

Hope this helps :)

Translate into an algebraic expression: How much 50% sugar syrup can you make if you have x grams of sugar ?

Answers

Answer:

The algebraic expression is v = 2x

v is the volume of the sugar syrup and

x is the mass of sugar in grams.

Step-by-step explanation:

Let x be the mass of sugar in grams and v be the volume of sugar syrup.

So, mass of sugar in grams/volume of sugar syrup × 100 % = 50 %

x/v × 100 % = 50 %

x/v = 50/100

x/v = 1/2

v = 2x

So, the algebraic expression required is v = 2x where v is the volume of the sugar syrup and x is the mass of sugar in grams.

I will make u brainliest n give u five stars if u answer this right Pls find the area oh H in mm squared

Answers

Answer:

[tex]24200 mm^{2}[/tex]

Step-by-step explanation:

200*50+200*50+70*60

=24200 mm^{2}

Find f. f '''(x) = cos(x), f(0) = 8, f '(0) = 4, f ''(0) = 9 f(x) =

Answers

Answer:  f(x) = -sin(x) + (9/2)x^2 + 5x + 8

======================================================

Work Shown:

f ''' (x) = cos(x) .... third derivative

f '' (x) = sin(x)+C ... integrate both sides to get second derivative. Don't forget the +C at the end

We are given f '' (0) = 9, so we'll make use of this to find C

f '' (x) = sin(x)+C

f '' (0) = sin(0)+C

9 = sin(0) + C

9 = 0 + C

9 = C

C = 9

Therefore, f '' (x) = sin(x)+C turns into f '' (x) = sin(x)+9

------------

Integrate both sides of the second derivative to get the first derivative function

f '' (x) = sin(x)+9

f ' (x) = -cos(x)+9x+D ... D is some constant

Make use of f ' (0) = 4 to find D

f ' (x) = -cos(x)+9x+D

f ' (0) = -cos(0)+9(0)+D

4 = -1 + 0 + D

D = 5

So we have f ' (x) = -cos(x)+9x+D turn into f ' (x) = -cos(x)+9x+5

------------

Lastly, apply another round of integrals and substitutions to find the f(x) function. We'll use f(0) = 8.

f ' (x) = -cos(x)+9x+5

f(x) = -sin(x) + (9/2)x^2 + 5x + E .... E is some constant

f(0) = -sin(0) + (9/2)(0)^2 + 5(0) + E

8 = 0 + 0 + 0 = E

E = 8

------------

We have

f(x) = -sin(x) + (9/2)x^2 + 5x + E

turn into

f(x) = -sin(x) + (9/2)x^2 + 5x + 8

What is 3.41 (where the .41 is repeating) written as a fraction?
Please help!!

Answers

Answer:

41/99

Step-by-step explanation:

There are two types of non terminating decimals. These are: Simple and Mixed

The one that you wrote up here is Simple, Since 41 is the only number that goes on repeating itself.

And mixed non terminating decimal is like 0.352 whereas 52 keeps repeating itself.

So when you change a non terminating decimal the denominator is always 9. But it depends on the decimal whether it is simple or mixed.

Since the decimal you wrote is simple and 2 digits keep on repeating themselves the denominator will be 99.

And the numerator will be the decimal number that keeps repeating itself without the repeating bar.

Therefore, the answer is 41/99.

Hope it helps ;) ❤❤❤

8/15 simplify the quotient to get ?

Answers

Answer:

0.5333333333 or 0.53 when simplified.

Step-by-step explanation:

8/15 is simply 8÷15

15 into 8 is not possible so you annex a zero and write a decimal point.The 8 now becomes 80. We now say 80÷15,the answer is 5 because 15x5=75.The remainder is five.We annex another zero and it becomes 50,50÷15=3

I hope this helps.

7
A section of a rectangle is shaded.
The area of the shaded section is 63 square units. What
is the value of x?
7
х
9 units
11 units
O 18 units
21 units

Answers

This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.

Answer:

11 units

Step-by-step explanation:

The shaded portion of the rectangle forms the shape of a trapezium

The area of a trapezium = 1/2(a + b)h

From the diagram, we can see than x = b

a = 7 units

b = 7 units

Area of the trapezium = Area of the shaded portion = 63 square units

A = 1/2(a + b)h

63 = 1/2(7 + b)7

63 = 1/2(49 + 7b)

63 × 2 = 49 + 7b

126 - 49 = 7b

7b = 77

b = 77/7

b = 11 units

Since x = b, x = 11 units

The value of x is 11

Start by calculating the area (A) of the trapezoid using

[tex]A= 0.5 * (a + b)h[/tex]

Using the parameters from the complete question, we have:

[tex]63 = 0.5 * (7 + x) * 7[/tex]

Multiply both sides by 2

[tex]126 = (7 + x) * 7[/tex]

Divide both sides by 7

[tex]18 = 7 + x[/tex]

Subtract 7 from both sides

[tex]x = 11[/tex]

Hence, the value of x is 11

Read more about shaded areas at:

https://brainly.com/question/24579466

Please HELP me with this question! I am really struggling with this...

Answers

Answer:

A) 22°

Step-by-step explanation:

∡DBG = (360° - BD - BG)/2

= (360° - 170° - 146°)/2

= 44°/2

= 22°

Allen and Stephan went shopping for Mother's day. Stephan spent $30 for 4 roses and 2 CDs. Allen bought 2 roses and 3 CDs for $40. What was the cost of a rose and a CD?

Answers

Answer:

work is shown and pictured

√ (952.695) + √0.00195 – 5.382 please help Thank you to whoever helps

Answers

Answer:

25.52791653032955454422437424679625318128649677442393276098...

Step-by-step explanation:

You can just paste this into wolframalpha.

Answer: 970.72312

Step-by-step explanation:

Straightforward operation.

A pole that is 2.5 M tall cast a shadow that is 1.72M lawn dart at the same time a nearby tower cast a shadow that is 50.5 M long how tall is the tower round answer to the nearest meter

Answers

Answer:

The tower is 73.4 m tall

Step-by-step explanation:

The height of the pole = 2.5 m

The shadow cast by the pole = 1.72 m

Shadow cast by tower = 50.5 m

To find the height of the tower, we proceed by finding the angle of elevation, θ, of the light source casting the shadows as follows;

[tex]Tan\theta =\dfrac{Opposite \ side \ to\ angle \ of \ elevation}{Adjacent\ side \ to\ angle \ of \ elevation} = \dfrac{Height \ of \ pole }{Length \ of \ shadow} =\dfrac{2.5 }{1.72}[/tex]

[tex]\theta = tan ^{-1} \left (\dfrac{2.5 }{1.72} \right) = 55.47 ^{\circ}[/tex]

The same tanθ gives;

[tex]Tan\theta = \dfrac{Height \ of \ tower}{Length \ of \ tower \ shadow} =\dfrac{Height \ of \ tower }{50.5} = \dfrac{2.5}{1.72}[/tex]

Which gives;

[tex]{Height \ of \ tower } = {50.5} \times \dfrac{2.5}{1.72} = 73.4 \ m[/tex]

Solve the following quadratic equation by completing the square ✓3x^2 + 10x + 7✓3 = 0​

Answers

[tex]\sqrt{3}x^2+10x+7\sqrt{3}=0\\\\\sqrt3(x^2+\dfrac{10x}{\sqrt{3}}+7)=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+7=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+\dfrac{25}{3}-\dfrac{25}{3} +7=0\\\\(x+\dfrac{5}{\sqrt{3}})^2 = \dfrac{4}{3}\\\\|x+\dfrac{5}{\sqrt{3}}| = \dfrac{2}{\sqrt{3}}\\\\x_1 = \dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = -\dfrac{3}{\sqrt{3}} = -\sqrt{3}\\\\x_2 = -\dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = \dfrac{-7}{\sqrt{3}} = -\dfrac{-7\sqrt{3}}{3}[/tex]

A random sample is drawn from a normally distributed population with mean μ = 31 and standard deviation σ = 1.9. Calculate the probabilities that the sample mean is less than 31.6 for both sample sizes

Answers

Answer:

For sample size n = 39 ; P(X < 31.6) = 0.9756

For sample size n = 76 ; P(X < 31.6) = 0.9970

Step-by-step explanation:

Given that:

population mean μ = 31

standard deviation σ = 1.9

sample mean  [tex]\overline X[/tex] = 31.6

Sample size n                 Probability

39

76

The probabilities that the sample mean is less than 31.6 for both sample size can be computed as  follows:

For sample size n = 39

[tex]P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})[/tex]

[tex]P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})[/tex]

[tex]P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})[/tex]

[tex]P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{6.245}})[/tex]

[tex]P(X < 31.6) = P(Z< 1.972)[/tex]

From standard normal  tables

P(X < 31.6) = 0.9756

For sample size n = 76

[tex]P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})[/tex]

[tex]P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})[/tex]

[tex]P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})[/tex]

[tex]P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{8.718}})[/tex]

[tex]P(X < 31.6) = P(Z< 2.75)[/tex]

From standard normal  tables

P(X < 31.6) = 0.9970

Factoriza e indica la cantidad de factores primos: P(m) = a(m+1) + b(m+1) –c(m+1)
A) 2
B) 3
C) 5
D) 1
E) 4

Answers

Answer:

Step-by-step explanation:

P (m) = a (m + 1) + b (m + 1) - c (m + 1)

P (m) = (a + b - c) (m + 1)

There are 2 prime factors

An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time a) What is population of interest? b) What is the sample? c) Was this a representative sample? Explain. d) How should the company determine the percentage of their flights that are on time?

Answers

a) The population is all of the flights belonging to the particular airline. It's not all flights in general because the airline does not have control over a rival company's flight schedule.

------------------

b) The sample is the 5 airlines the company selected. Ideally the sample should represent the population as much as possible. The larger the sample, the more representative the sample is.

------------------

c) No, the sample is likely not representative because one day of flight does not represent the entire lifetime of all flights done so far for that company. This particular day could have been a very good day with good weather, which may explain why the 5 flights were all on time.

------------------

d) It would be better for the company to select the days at random and sample all of the flights for those particular days chosen. This is a cluster sample. Each cluster is a day. Also, I think more flights should be sampled. Five flights does not seem like enough.

Write the algebric expression of the difference of 'a' and 'b'

Answers

Step-by-step explanation:

An algebraic expression haa atleast one variable and operator sign such as (+,-,×,÷)

According to the question, an algebraic expression should be made from difference of 'a' and 'b'

so, the expression is (a - b) or a - b.

Hope it helps!!!!

A plumber wishes to cut a piece of pipe
32 inches long into two parts so that the
larger part is 4 inches less than three
times the smaller part. What are the
lengths of the two parts of the pipe?

Answers

Answer:

9 and 23

Step-by-step explanation:

Let x be smaller length in inches.

x+3x-4=32

4x=36

x=9

9*3-4=23

So they're 9 and 23 inches long.

The lengths of the two parts of the pipe are 9 and 23 inches long.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Let x be the smaller length in inches.

x + 3x - 4 = 32

4x = 36

x  =9

Now substitute;

9*3 - 4 = 23

Hence, the lengths of the two parts of the pipe are 9 and 23 inches long.

Learn more about the unitary method;

https://brainly.com/question/23423168

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a) A and B are the subsets of a universal set U in which there are n (U) = 54,
n (A) = 32, n (B) = 22 and n (
AB) = 9.
(i) Draw a Venn-diagram to illustrate the above information.
(ii) Find the value of n (AUB).​

Answers

Yes the value of n is 20

Step-by-step explanation:

I DON'T KNOW WHICH ANSWER IS CORRECT .

BUT MY ANSWER CAME THIS .

I HOPE IT WILL HELP YOU.

HAVE A NICE DAY.....

Price elasticity of demand for tomatoes is 1.30. If hail storm adversely affects the nation’s production of tomatoes what will be the impact on total revenue from tomatoes and why?

Answers

Answer:

The total revenue will decrease.

Step-by-step explanation:

The price elasticity of demand is 1.30 that shows that change in the quantity of tomatoes is greater than the change in the price of tomatoes. The hail storm will decrease the quantity (supply) of tomatoes. However, this decrease in supply will increase the price but the ratio of change in quantity will be more than the ratio of change in price. Thus, total revenue from tomatoes will also fall.

The hypotnuse of a right triangle is three times the length of its first leg. Theblength of the other leg is four feet. Find the lengths of the first leg and the hypotnduse and enter them in the below squares in this order. For non-integer answer(s), round your answer(s) to the nearest tenth.

Answers

Answer:

Length of first leg = 1.4feet

Hypotenuse = 4.2feet

Explanation:

Since we are dealing with a right angled triangle, we will apply the Pythagoras theorem to solve the question. According to Pythagoras theorem, the square of the hypotenuse is equal to the sum if the square of the other two legs.

Mathematically, a² = b²+c² where a is the hypotenuse and b, c are the other two legs.

From the question, since hypotenuse of a right triangle is three times the length of its first leg, then a = 3b.

Also the other leg is four feet i.e c= 4

Substituting this values into the Pythagoras formula;

a²=b²+c²

(3b)² = b²+4²

9b² = b²+16

9b²-b² = 16

8b² = 16

b² = 16/8

b² = 2

b = √2

b = 1.4

Since a = 3b

a = 3(1.4)

a = 4.2

Hence, the length of the first leg is 1.4feet and that of the hypotenuse is 4.2feet both to the nearest tenth.

An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown. 110, 130, 150, 170, ...

Answers

Answer:

f(n + 1) = f(n) + 20

Step-by-step explanation:

Let f(x) equals their pay at every hour of X

Where x is the number of hours, then if we go with the trend where f(1)=110, f(2)=130 f(3)=150 f(4)=170 then would see that as they are working every hour they have their pay increased by $20, from f(1)=110+ $20 gives us f(2)=130 and that is after an hour then we can say

1 hour work=$20

Then additional 1hour+ n= $20 + n

Hence,f(n+1)=f(n)+20

Other Questions
Use the Pythagorean theorem to find the length of the hypotenuse in the triangle shown below 15 and 39 Which of the following is a primary function of carbohydrates?Choose ONE answer:A. Acting as a long-term energy source.B. Speeding up chemical reactions.C. Storing genetic information.D. Providing short-term energy storage. Solve for x in the equation X^2-16^x=0 can someone please help me? In classic research, Dweck (1975) found that boys tend to attribute their poor performance in math to _____ factors, whereas girls tend to attribute their poor performance in math to _____ factors. In your lab you are studying the genome of venomous rattlesnakes to find the gene which codes for their venom glands. You have tworattlesnakes, one rattlesnake has a mutation but can still produce venom. You compare his DNA to a normal rattlesnake. What type ofmutation has occurred?Normal: AATCGCTACGCACGTCAGMutated: TATCGCTACGCACGTCAGA. Deletion MutationB. Nonsense mutationC. Silent MutationD. Missense mutation Taylor s has a beta of .78 and a debt-to-equity ratio of .2. The market rate of return is 10.6 percent, the tax rate is 34 percent, and the risk-free rate is 1.4 percent. The pretax cost of debt is 6.1 percent. What is the firm's WACC In what way did industrialization affect the working class?o They improved their standard of living.o They fell far below other classes.They became more successful.o They were absorbed into the middle class.4Mark this and returnSave and ExitNexSubmit One student ate 3/20 of all candies and another 1.2 lb. The second student ate 3/5 of the candies and the remaining 0.3 lb. What weight of candies did they each eat? PLEASE HELP!! What is x, if the volume of the cylinder is 768 pi cm3? Do not use units or commas in your answer. HELLLPPPP I need a explication on whether or not these angle relationships are possible At the city museum, child admission is $ 5.30 and adult admission is $ 9.40 . On Sunday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1206.00 . How many child tickets were sold that day? The number of neutrons in the nucleus of zinc 65 Zn 30 is:35Need more data to answer6530 Fixed assets. A a building is one example. B spreading costs over time The tee for the sixth hole on a golf course is 400 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marshas ball and the hole to the nearest tenth of a yard. Answer any time! :D 1. Analogies exist between rotational and translational physical quantities. Identify the rotational term analogous to each of the following: acceleration, force, mass, work, translational kinetic energy, linear momentum, impulse. 2. Explain why centripetal acceleration changes the direction of velocity in circular motion but not its magnitude. listed below are the number of tech-supported questions successfully answered each day by misty and brock over a one week period, who is the more consistent employee?Misty: 11,13,12,14,10,16,14Brock: 8,15,10,11,16,10,9 The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.4 in/s. At what rate is the volume of the cone changing when the radius is 109 in. and the height is 198 in. You are dealt two card successively without replacement from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second is a queen. Round to nearest thousandth The tee for the fifth hole on a golf course is 375 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marshas ball and the hole to the nearest tenth of a yard.