I don’t understand the steps for this question, how do I find h(1)

Answer:

B.

g= 10

Step-by-step explanation:

Step-by-step explanation:

9000000 could be writen as 9*(10^6)

Answer:

60 x 4/5 = 240/5 = 48

48 vanilla cheesecakes

Answer:

Microsoft = 89.5 million

Time Warner = 77.5 million

Yahoo = 82.5 million

Google = 34.5 million

Step-by-step explanation:

Given

z − u = 3(x − y) + 12

x + y = 50 + z + u

x − y + z − u = 48.

From the question, we also understand that

u + x + y + z = 284

Required

Solve for u, x, y and z

Substitute 3(x - y) +12 for z - u in the third equation

x − y + z − u = 48.

(x - y) + 3(x - y) = 48

4(x - y) = 48

Divide both sides by 4.

x - y = 12

Make z + u the subject of formula in u + x + y + z = 284

z + u = 284 - (x + y)

Substitute 284 - (x + y) for z + u in the second equation

x + y = 50 + z + u

x + y = 50 + 284 - (x + y)

(x + y) + (x + y) = 50 + 284

2(x + y) = 334

Divide both sides by 2

x + y = 167

Make x the subject of formula

x = 167 - y

Substitute 167 - y for x in x - y = 12

167 - y - y = 12

167 - 2y = 12

-2y = 12 - 167

-2y = -155

2y = 155

y = 77.5

Solve for x in x = 167 - y

x = 167 - 77.5

x = 89.5

Recall that:

z − u = 3(x − y) + 12

z + u = 284 - (x + y)

Substitute the values of x and y in the above expressions.

z − u = 3(x − y) + 12

z - u = 3(89.5 - 77.5) + 12

z - u = 3(12) + 12

z - u = 36 + 12

z - u = 48

Make z the subject

z = 48 + u

Similarly,

z + u = 284 - (x + y)

z + u = 284 - (89.5 + 77.5)

z + u = 284 - 167

z + u = 117

Substitute 48 + u for z

48 + u + u = 117

48 + 2u = 117

2u = 117 - 48

2u = 69

u = 34.5

Substitute 34.5 for u in z = 48 + u

z = 48 + 34.5

z = 82.5

The size of audience of each of the four companies at the end of that year are;

Micro-soft = 89.5 million

Time Warner = 79.5 million

Yah oo = 34.5 million

Goo gle = 82.5 million

We are given the equations;

z − u = 3(x − y) + 12 ----(1)

x + y = 50 + z + u   ----(2)

x − y + z − u = 48    ----(3)  

Now, we are told that the combined 4 audience is 284 million users. Thus;

u + x + y + z = 284    ----(4)  

Put 3(x − y) + 12 for z - u in the eq 3 to get;

(x - y) + 3(x - y) = 48

x - y + 3x - 3y

4x - 4y = 48

Divide both sides by 4 to get;

x - y = 12   ----(5)

Make z + u the subject of formula in eq 4 to get;

z + u = 284 - (x + y)  ---(4b)

Put 284 - (x + y) for z + u in the eq 2;

x + y = 50 + 284 - (x + y)

x + y = 334 - x - y

Add x + y to both sides to get;

x + y + x + y = 334

2x + 2y = 334

Divide both sides by 2 to get;

x + y = 167 -----(6)

Add eq 5 to eq 6 to get;

2x = 167 + 12

2x = 179

x = 179/2

x = 89.5

Put 89.5 for x in eq 6 to get;

89.5 + y = 167

y = 167 - 89.5

y = 77.5

Put the values of x and y in eq(1) and eq(4b) to get;

z - u = 3(89.5 - 77.5) + 12

 z - u = 48  ---(7)

Also,

z + u = 284 - (89.5 + 77.5)

z + u = 117   ---(8)

Add eq 7 to eq 8 to get;

2z = 165

z = 165/2

z = 82.5

Put 82.5 for z in eq 8 to get;

82.5 + u = 117

u = 117 - 82.5

u = 34.5

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Answer:

Answer:

Line A B and Line C G are parallel.

Line C G and Line R S are perpendicular

Line A B and Line R S must intersect

Line segment C G lies in plane X

Step-by-step explanation:

Given that Planes X and Y intersect at a right angle.

From the image attached, line AB and CG are on the same plane X while line RS is on plane Y. Hence, line CG lies on plane X.

Since both line AB and CG line on the same plane, this means that both lines are parallel to each other.

Since plane X and plane Y are perpendicular to each other and line CG is on plane X and line RS is on plane Y, this means that both Line C G and Line R S are perpendicular.

Also Since plane X and plane Y intersect and line AB is on plane X and line RS is on plane Y, this means that both Line C G and Line R S intersect with each other at right angle.

Answer:

A and  are parallel.

C   and  are perpendicular.

E  lies in plane X.

Step-by-step explanation:

ED22

Answer:

c 57

Step-by-step explanation:

a. The number of red roses left t hours after the store opens \(R(t) = 400/2^{t/2}\)    

b. The number of boxes of chocolate left t hours C(t) = 200 - 0.15t

c. One possible solution is t ≈ 7.546 hours after the store opens.

d. there are 194 boxes of chocolates left.

e. you need to arrive at the store no later than 7.504 hours after it opens.

a. The proportion (relative frequency) of times an event is anticipated to occur when an experiment is repeated a large number of times under identical conditions is known as the probability of the event.:

\(R(t) = 400/2^{t/2}\)

b. Let C(t) be the quantity of boxes of chocolate left t hours after the store opens. At first, there are 200 boxes, of which 15% are purchased every hour. We can therefore write:

C(t) = 200 - 0.15t

c. We must solve the equation R(t) = C(t) in order to determine the time at which the number of boxes of chocolates and the number of roses are equal. We obtain: by substituting the formulas we discovered in parts a and b:

\(400/2^{t/2} = 200 - 0.15t\)

Simplifying this equation, we get:

\(2^{t/2 + 1} + 0.15t - 400 = 0\)

We can solve this equation numerically, using a calculator or a computer program. One possible solution is t ≈ 7.546 hours after the store opens.

d. At 12:30 in the early evening, which is 3.5 hours after the store opens, we can utilize the recipe we tracked down to some extent b to work out the quantity of boxes of chocolates left:

C(3.5) = 200 - 0.15(3.5) = 194.25

We ought to adjust this solution to appear to be legit with regards to the issue. Since we cannot have a fraction of a box, we can round to the nearest integer and state that there are 194 chocolate boxes remaining.

e. To buy 36 red roses, we need to solve the equation R(t) = 36. Substituting the formula we found in part a, we get:

\(400/2^{t/2}= 36\)

Simplifying this equation, we get:

2^(t/2) ≈ 11.111

Taking the logarithm of both sides, we get:

t/2 ≈ log2(11.111)

t ≈ 2 log2(11.111)

Using a calculator, we get:

t ≈ 7.504 hours after the store opens.

Therefore, you must arrive at the store no later than 7.504 hours after it opens in order to purchase 36 red roses.

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The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

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Answer:

1/8

Step-by-step explanation:

To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.

We can then rewrite the square root terms as follows:

√3/√8 = √(3) / √(2 * 2 * 2)

Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:

√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)

Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:

√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2

Finally, we can use the rules of division to simplify the expression even further:

√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)

Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:

√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8

Therefore, the simplified form of the expression √3/√8 is 1/8.

Answer: 6/4

Step-by-step explanation:

Pull terms out from under the radical.

3

(

8

√

8

)

Multiply

8

by

3

.

3

√

8

The result can be shown in multiple forms.

Exact Form:

6

√

4

Decimal Form:

0.61237243....

Diego has 3 times as many, so you would multiply the amount Han had by 3.

Han has 6, so Diego has 6 x 3 = 18 comic books

A. 18 comic books.

To find the number Han has using what Diego has you would divide Diego’s number by 3:

27/3 = 9

Han has 9 comic books

B. 9 comic books

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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50000 + 3000 + 900 + 60 + 1

That is the expanded form

Answer:

-10

Step-by-step explanation:

well you know that

\((-)(-)=(+)\)

so we have

\(-21-(-11)\\\\=-21+11\\\\=-10\)

We may predict that, when rοunded tο the clοsest whοle number, 185 persοns οught tο be present at Sοcial Prοblems οn Sunday.

Detailed numbers the set οf integers that cοntains zerο and the natural numbers. nοt a decimal and fractiοn. Integer 0 thrοugh 2, 3, 4, 5, 6, 7, 8, 9, 10, and sο οn. a cοunting number, a negative number, οr zerο.

The library saw a sum οf 416 + 448 + 341 = 1205 visitοrs οn Saturday. By dividing the entire number οf visitοrs by the number οf visitοrs whο visited Sοcial Prοblems, and then multiplying the result by 100% tο represent the results as a percentage, we can determine what percentage οf these visitοrs visited Sοcial Issues:

Percentage οf visitοrs whο went tο Sοcial Issues = (448 ÷ 1205) x 100%

Percentage οf visitοrs whο went tο Sοcial Issues ≈ 37.18%

We may assume that a similar percentage οf Saturday's visitοrs will return οn Sunday in οrder tο estimate the number οf persοns whο can be expected tο attend Sοcial Prοblems οn that day. Tο determine hοw many peοple will visit Sοcial Prοblems οn Sunday, we can utilize the prοpοrtiοn mentiοned abοve:

Estimated number οf visitοrs tο Sοcial Issues οn Sunday = (37.18% οf 500 visitοrs)

Estimated number οf visitοrs tο Sοcial Issues οn Sunday ≈ 185

We may calculate that, if we rοund tο the next whοle number, 185 persοns shοuld be anticipated tο attend Sοcial Prοblems οn Sunday.

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Answer:

Box 1: 4

Box 2: -2

Step-by-step explanation:

A) f(1)=?

This is asking us what is at x=1??

So we look at the graph and x=1 y is at 4!

so therefore, f(1) = 4

Next...

now its asking the opposite what is f(x)=1

In other words what is x when y is 1??

So when looking at the graph, x is -2 when y is at 1!!

Therefore, f(-2) =1

Answer:

$ 14.25 this is probably the answer

The required two expressions are

(1-0.05)P

0.95 P

Step-by-step explanation:

First method : Here, the original price of pillow = P,

She marks them down 5%

Thus, the selling price = P - 5% of P = P - 0.05 P = (1-0.05)P

Second method :

Since, some number is 100% of itself,

⇒ 100 % = P

⇒ 1 % = P/100 = 0.01 P

Also, by decreasing 5 % from 100 %

The remaining percentage = 100 - 5 = 95%

⇒ 95 % = 95 × 0.01 = 0.95 P

Answer:

The total number of possible outcomes for the math quiz is 16

Step-by-step explanation:

Explanation:

This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.

Answer: (x + yi) × 1 = (x + yi)

Step-by-step explanation:

Answer:D

Step-by-step explanation:Edge

Answer:

D

each hour goes up by $25

The correct answer is (c) sec^2α.

What is the Pythagorean theorem?

Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.

The expression tan^2α + 1/secα can be simplified using trigonometric identities. Recall the following trigonometric identities:

tan^2α + 1 = sec^2α (Pythagorean identity for tangent)

secα = 1/cosα (definition of secant)

Substituting these identities into the original expression, we get:

tan^2α + 1/secα = sec^2α + 1/secα

Now, we can combine the terms with a common denominator:

(sec^2α * secα + 1)/secα

Using the definition of secant (secα = 1/cosα), we can further simplify:

(1/cos^2α * 1/cosα + 1)/secα

Multiplying numerator and denominator by cos^3α, we get:

(1 + cosα)/secα

Recalling that secα = 1/cosα, we can replace secα with its definition:

(1 + cosα)/(1/cosα)

Finally, multiplying the numerator and denominator by cosα, we get:

cosα + 1/cosα

Hence, the equivalent expression for tan^2α + 1/secα is cosα + 1/cosα, which is equivalent to sec^2α for all values of α for which secα is defined. Therefore, the correct answer is (c) sec^2α.

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12.50

Parallel lines are lines that will never intersect.

Parallel Lines

Parallel lines run opposite of each other without intersecting. For lines to be parallel, they must have the same slope. The equation given to us is written in slope-intercept form. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. So, the slope from the equation is 12.50.

Finding Parallel Lines

In order to find other lines that are parallel to the line given, all we need to do is write another equation with the same slope. However, 2 lines that are the same are not considered to be parallel. This means that for 2 lines to be parallel they must have the same slope but different y-intercepts. For example, a parallel line could be y = 12.50x + 6.