Which of the following is equal to the opposite of −45?

−|45|
−|−45|
−(−45)
−45








Which of the following statements does not represent the same value as the others?

the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9











All of the following are true statements except _____.

|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93













If you move from zero to 15 on the number line, you are representing all of the following except _____.

the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15














All of the following expressions are equal to N except _____.

−(− N )
− N
| N |
|− N |

The arcs on the Golden Gate Bridge.

I think about the Golden Gate Bridge, which is a suspension bridge.

As in any suspension bridge, a long cable is supported by two large supports.

The cable falls from support, in the form of a curve concave upwards, to a minimum point that is the vertex of the parabola, through which the axis of symmetry passes, and curves again upwards to ascend to the upper end of the other support.

As a unique feature of this parabolic arc, you can tell that the concavity is upward; the parabola opens upward.

Also, you can tell that the parabola is vertical, which means that the axis of symmetry is vertical.

The symmetry is clear because the curve to the left of the vertex is a mirror image of the curve to the right of the vertex. Hope I helped, have a good day!

Answer:

18 ft

Step-by-step explanation:

Convert yards to feet:

 6 yds        3 ft

------------ * ------------ = 18 ft

      1            1 yd

Answer:

mememememwmwnwmwnwnwjkwjw

The number of times the yo-yo rotate in 1 second is 8π times. Option B

A function can be defined as defined as an expression, rule or law that explains the relationship between two variables.

These variables are;

From the information given, we have that;

f(x) = 2cos (8πx) + 2

Where;

If the value of x is 1 second, then

f(x) = 2cos(8π) + 2

Hence, the value is 8π times

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Answer and Step-by-step explanation:

So, lets write down the information that we have.

Tina:

Box Jumps: 500

Pushups: 350

Sit-ups: 700

Ben:

Box Jumps and Sit-ups: \(\frac{3}{4}\) × (500 + 700)

Pushups: 1.5 × 350

Let's calculate Ben's exercises.

Pushups = 525

Box Jumps + Sit-ups = 900

Look back, and you can see that we can distribute the 3/4 to the numbers, instead of adding the multiplying.

(\(\frac{3}{4}\) × 500)  = 375

(\(\frac{3}{4}\) × 700) = 525

So, Ben did:

Box Jumps = 375

Pushups = 525

Sit-ups = 525

#teamtrees #WAP (Water And Plant)

Answer:

Ishaan is correct because snakes with 17 1/4 inches occured most often  in the dot plot. Raj is incorrect because 17 3/4 didnt occur the most often but it was the highest length of the snake. Ishaan is correct.

Step-by-step explanation:

Answer:

m∠B=54°

Step-by-step explanation:

use the fact that the sum of angles in a triangle is 180°

2x+7+4x-10+7x-25 =180

combine like terms

13x -28 =180

13x = 180+28

x= 208/13= 16

∠B = 4x-10 = 4*16 -10 = 64-10= 54°

Inequalities help us to compare two unequal expressions. The correct option is A.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Another way of writing the inequality 64 < x < 68, where x represents the height of the actor, is x>64 and x< 68. Hence, the correct option is A.

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Answer:

z =2.76

Step-by-step explanation:

z - 2.3 = 0.46

Add 2.3 to each side

z - 2.3+2.3 = 0.46+2.3

z =2.76

Answer:

quadratic coefficient = \(-\frac{3}{4}\)

linear ... = -3

constant term = 3

Step-by-step explanation:

1. given the vertex, set up the function in vertex form (a is unknown):

   y = a(x + 2)² + 6

2. Substitute (0,3) for x and y in the equation and solve to find a:

   3 = a(0+2)²+6

   3 = 4a+6

   -3 = 4a

   a = -3/4

3. Substitute -3/4 for a in step 1:  \(y=-\frac{3}{4}(x+2)^{2}+6\)

4. Convert equation to standard form using the Order of Operations:

    \(y=-\frac{3}{4}x^{2}-3x+3\)

Simple interest typically favors consumers who pay their bills or loans on time or early each month because it is frequently calculated on a daily basis. The loan's simple interest rate is 4.5%.

Simple interest typically favors consumers who pay their bills or loans on time or early each month because it is frequently calculated on a daily basis.

In the aforementioned student loan example, if you paid a $300 payment on May 1st, $238.36 would be applied to the principle. On April 20, if you made the same payment, $258.91 would be applied to the principal. Your main balance will decrease more quickly and the loan will be paid off faster than anticipated if you can make an early payment every month.

On the other hand, if you pay the loan back late, you pay more in interest than if you pay it on time. If your payment is due on May 1 and you make it on May 16 (using the same car loan example), you will be charged interest for 45 days at a cost of $92.46. Consequently, only $207.54 of your $300 payment is applied to the principal. If you frequently make late payments over the course of a loan, your final payment will be more than anticipated because the principal did not decrease at the anticipated rate.

Principal amount,

P=$5000

Future value,

A=$5900

Time,

t=4years

Let us determine the loan's simple interest rate:

A=P(1+rt)

5900=5000(1+r*4)

5900=5000(1+4r)

5900=5000*1+5000*4r

5900=5000+20000r

5900−5000=20000r

900=20000r

20000r=900

r=900/20000

r=9/200

r=0.045

r=0.045/100%

r=4.5%

Therefore, the loan's simple interest rate is 4.5%.

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The inequality that represents p, the number of people the theater can seat is p ≤ 25

From the question, we have the following parameters that can be used in our computation:

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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Answer:

x is -1/b yw

Step-by-step explanation:

Answer:

16c

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

(1yd = 3ft) (1ft = 12in)

12 x 3 = 36

36 x 10 = 360

The process to show that if 16 people are seated in a row of 20 chairs, then some group of 4 consecutive chairs must be occupied is shown below.

We prove this using the Pigeonhole Principle, which states that if n items are placed into m containers, and n > m, then at least one container must contain more than one item.

Let us consider the 16 people seated in a row of 20 chairs. Each person occupies one chair, so there are 20 - 16 = 4 empty chairs in the row.

We assume that empty chairs as containers, and people as items that need to be placed into containers.

Since there are more items (people) than containers (empty chairs), there must be at least one group of 2 or more consecutive empty chairs.

Now, let's consider the complement of this statement: Suppose there are no groups of 4 consecutive chairs that are occupied. Then, each group of 4 consecutive chairs contains at most 3 people.

We partition the row of chairs into groups of 4 consecutive chairs.

So, there are 20 - 3 = 17 such groups. By the statement above, each of these groups contains at most 3 people. Therefore, the total number of people seated in the row is at most 17×3 = 51.

But, we know that there are actually 16 people seated in the row. This is a contradiction, since 51 < 16. Therefore, our assumption that there are no groups of 4 consecutive chairs that are occupied must be false, and we have proved that some group of 4 consecutive chairs must be occupied.

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If you're looking for x, then:

2 = |x|-1

lxl-1 = 2

lxl-1+1=2+1

lxl=3

so x = -3, x=3

The linear equation in the slope-intercept is:

y = (-1/5)*x  - 26/5

And it can be written as:

y = (-1/5)*(x + 1) - 5

We can write the equation for line L as:

y = a*x +b

Where a is the slope and b is the y-intercept.

Two lines are perpendicular if the product between the slopes is equal to -1.

So if we want our line to be perpendicular to y= 5x, then we must have:

a*5 = -1

a = -1/5

So our line is something like:

y = (-1/5)*x + b

And the line passes through (-1, -5), replacing these values:

-5 = (-1/5)*-1 + b

-5 = 1/5 + b

-5 - 1/5 = b

-26/5 = b

The linear equation is:

y = (-1/5)*x  - 26/5

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Answer:

The average is:

105 cm

Step-by-step explanation:

1 m = 100cm

2m = 2*100 = 200cm

then:

(200 + 20 + 95)/3 = 315/3 = 105cm

Answer:

Step-by-step explanation:

The ratio of soccer balls to basketball is 12 to 15 If there are 48 soccer balls how many basketball are there

we can solve with a proportion

12 : 15 = 48 : x

x = 15 * 48 : 12

x = 60

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer

4a. D = 50 + 20W

4b. (3, 110)

Explanation

4a. The equation that represents the relationship between the dollar amount and the number of weeks of saving is

Where;

D is the Amount n dollar in her bank account,

W is the number of weeks of saving.

4b. The coordinates of the point on the line that represents the amount in savings after 3 weeks implies substituting W = 3 into the relation above

Hence, the coordinates are (3, 110)

Answer:

36%

Step-by-step explanation:

Area of circle is

\(\pi {r}^{2} \)

If the radius is decreased by 20%. Then the radius will be

80% of the original radius.

So our radius is 0.8.

So our area is

\(\pi(0.8r) {}^{2} \)

\(\pi(0.64 {r}^{2} )\)

Since pi is constant, the radius only really matters.

We went from

\(1 {r}^{2} \)

to

\(0.64 {r}^{2} \)

So our area will decrease by 36%

Proof: Let the radius be 10.

So the area of circle will be

\(\pi(10) {}^{2} = 100\pi\)

Let our other radius is 8 because 8 is a 20% decrease of the orginal radius

\(\pi(8) {}^{2} = 64\pi\)

Next, we subtract the area to find decrease in area

\(100\pi - 64\pi = 36\pi\)

Since pi is constant, we can ignore it so our decrease in area is 36%

Answer:

Continuous

Step-by-step explanation:

The number of days that this solution will probably last would be = 8 days.

To calculate the number of days the solution will last the following is taken into consideration.

The parameters given which are not in ml should be converted to ml as follows;

2 Oz of Lidocaine to ml = 2×29.6=59.2ml

½tsp of banana flavouring;

= 1/2×4.92

= 2.5ml

Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml

But 2×10 = 1 day

20ml = 1 day

161.7ml = X

Make X the subject of formula;

X = 161.7/20

= 8.1

= 8 days.

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I think I did this already it should be c

Answer:

She can play a total of 7 games.

Answer:

The transcription of the directions for Lantanoprost 0.005% ophthalmic solution is as follows:

"Sig: ii drops o.u. daily h.s."

This means to use the medication as follows:

"ii drops" = two drops

"o.u." = both eyes

"daily" = once a day

"h.s." = at bedtime (from the Latin "hora somni")

So the complete directions would be:

"Instill two drops in both eyes once a day at bedtime."

Step-by-step explanation:

Let's solve the given questions step by step:

1. Determine the equation of f:

From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:

f(x) = a(x + p)^2 + q

Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:

4 = a(1 + p)^2 + q

This gives us one equation involving a, p, and q.

2. Determine the equation of g:

The equation of g is given as g(x) = 0.3x + p1.

3. Determine the coordinates of the x-intercept of g:

The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.

Setting g(x) = 0, we can solve for x:

0 = 0.3x + p1

-0.3x = p1

x = -p1/0.3

Therefore, the x-intercept of g is (-p1/0.3, 0).

4. For which values of x will f(x) ≥ g(x)?

To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.

f(x) = a(x + p)^2 + q

g(x) = 0.3x + p1

We need to find the values of x for which f(x) ≥ g(x):

a(x + p)^2 + q ≥ 0.3x + p1

Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.

To summarize:

We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).