An event lasts for 5 hours and 30 min how long did the event last in seconds

Answer:

[tex]AC=14\sqrt{2}m[/tex]

Step-by-step explanation:

we are given trapezoid ABCD

AC is a diagonal

∠ABC ≅ ∠ACD

we know that

BC and AD are parallel

so, <DAC = <ACB

so, ΔABC ≅ΔACD

Since, both triangles are similar

so, their ratios must be equal

we get

[tex]\frac{BC}{AC} =\frac{AC}{AD}[/tex]

now, we can plug values

[tex]\frac{14}{AC} =\frac{AC}{28}[/tex]

[tex]AC^2=14\times 28[/tex]

[tex]AC^2=14^2\times 2[/tex]

[tex]AC=14\sqrt{2}m[/tex]

To find the length of AC, the diagonal in trapezoid ABCD, we can use the fact that ∠ABC ≅ ∠ACD and the lengths of the bases BC and AD. By setting up a proportion using the corresponding sides of the similar triangles ABC and ACD, we can find that AB/AC = 1/2. Multiplying the length of AB by 2 gives us AC = 28m.

Given that ∠ABC ≅ ∠ACD and the lengths of the bases BC and AD are 14m and 28m respectively, we can find the length of AC, which is a diagonal in trapezoid ABCD.

Answer:

If in football. Then Homer has made a total of 24 interceptions and 96 hits

Step-by-step explanation:

if we know that Homer has four times as many hits in baseball than interceptions that means how ever many interceptions he has its four times greater that that number so if he had 5 interceptions then you would do 5 x 4 and the number of hit would be 20 so if you already know the number of hits all together like we do you would divide by 5 cause the number of hits count as 4/5 and interceptions is 1/5 of that so we do 120/5 which gives us 24 and to find the number of hit we times that by 4 then we get 96 and to check our answer 96 + 24 = 120

Answer:

Step-by-step explanation:If in football. Then Homer has made a total of 24 interceptions and 96 hits

Step-by-step explanation:

if we know that Homer has four times as many hits in baseball than interceptions that means how ever many interceptions he has its four times greater that that number so if he had 5 interceptions then you would do 5 x 4 and the number of hit would be 20 so if you already know the number of hits all together like we do you would divide by 5 cause the number of hits count as 4/5 and interceptions is 1/5 of that so we do 120/5 which gives us 24 and to find the number of hit we times that by 4 then we get 96 and to check our answer 96 + 24 = 120

Answer:

.513 is larger

Step-by-step explanation:

1st method is the thousandths place larger or smaller

.1 tenths

.01 hundredths

.001 thousandths

In this case the thousandths is larger for .513

2nd method

subtract the two number

.513 - .5129 = .0001

Since the number recieved is positive this means .513 is larger

Ralph needs to lose 53 pounds to reach his goal of weighing at most 195 pounds, which he can achieve through a slow and steady weight-loss approach.

Ralph is currently weighing 248 pounds and wishes to weigh at most 195 pounds. In order to find out how many pounds he needs to lose, we subtract his desired weight from his current weight.

Current weight - Desired weight = Weight to lose

248 pounds - 195 pounds = 53 pounds

Therefore, Ralph would need to lose 53 pounds to reach his goal of weighing at most 195 pounds. This aligns with the concept of achieving slow and steady weight-loss goals, typically losing 1 to 2 pounds per week for sustainable results. As noted, many obese people worry about being heavy, and while losing weight can be challenging, successful dieters often make lifelong changes to their eating and activity patterns.

Answer:

(-1,3)

Step-by-step explanation:

Graph the given system of equations

y=-x+2  

make a table for each equation to graph it

Lets assume some value for  x  and find out y

x     y=-x+2

-1      -(-1) + 2= 3

0       0+2 = 2

1         -1+2 = 1

Now make  a table for second equation

y= 4x+7

Lets assume some value for  x  and find out y

x     y= 4x+7

-1       4(-1) +  7= 3

0       4(0) + 7 = 7

1        4(1) + 7 = 11

The graph is attached below

Solution is (-1,3)

Answer: choice (3), x = (2b+7)/(a-b)

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

Explanation:

The idea is to get all the x terms to one side (after distributing), then factoring out the common term x, finally divide both sides by (a-b) as shown below

ax-7 = b(x+2)

ax-7 = bx+2b .... distribute

ax-7+7 = bx+2b+7 ... add 7 to both sides

ax = bx+2b+7

ax-bx = bx+2b+7-bx ... subtract bx from both sides

ax-bx = 2b+7

(a-b)x = 2b+7 .... factor out the GCF x

x = (2b+7)/(a-b) ... divide both sides by (a-b)

We have all of "2b+7" over "a-b" as one big fraction. This is what choice (3) is showing.

The calculated fraction 21/6 to a mixed number is 3 1/2

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

Number = 21/6

Divide 21 by 6

So, we have

Quotient = 3

Next, we have

Remainder = 21 - 6 * 3

Evaluate the products

Remainder = 3

So, we have

Fraction = 3 3/6

Simplify

Fraction = 3 1/2

Hence, the fraction to a mixed number is 3 1/2

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Answer:

There are no values of x

that make the equation true.

Step-by-step explanation: No solution

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

The given linear equation is;

[tex]\frac{3x+5}{2}=-5[/tex]

We multiply through by 2 to clear the fraction.

This implies,

[tex]3x+5=2\times -5[/tex]

[tex]3x+5=-10[/tex]

Group like terms,

[tex]3x=-10-5[/tex]

Simplify,

[tex]3x=-15[/tex]

Divide both sides by 3.

[tex]\Rightarrow x=-5[/tex]

Answer:

x = -5

Step-by-step explanation:

[tex]\frac{3x+5}{2}[/tex]=-5

Multiplying both sides by 2

3x + 5 = -10

3x + 5 - 5 = -10 - 5

3x = -15

Dividing by 3 on both sides

x = -5

Answer:

You get 0.95

Step-by-step explanation:

Change each percentage to decimals.

70% is equal to 0.70

25% is equal to .25

15% is equal to .15

Add the decimal of pizza to the decimal of salad.

NOTE: I ACCIDENTALLY clicked one star. That DOES NOT count as a real rating, and this DOES NOT mean my answer is bad!

Answer:

Commutative Property of Addition

Step-by-step explanation:

Step 2: -4 + (-37) + (-3) + (-47) + 7

Step 3: -4 + (-37) + (-47) + (-3) + 7

Because the order was changed, it is the Commutative Property.

Answer:

n

Step-by-step explanation:

[tex](\frac{2n}{6n+4})(\frac{3n+2}{3n-2})[/tex]

We see that in the first rational expression, both the numerator and denominator are divisible by 2.  This means we can factor a 2 out of the top and bottom and then cancel it:

[tex](\frac{2(n)}{2(3n+2)})(\frac{3n+2}{3n-2})\\\\=(\frac{n}{3n+2})(\frac{3n+2}{3n-2})[/tex]

Now we can multiply straight across:

[tex]\frac{n(3n+2)}{(3n+2)(3n-2)}[/tex]

Since we have the same factor on the top and bottom, this factor cancels:

[tex]\frac{n}{3n-2}[/tex]

The numerator is n.

The numerator of the simplified expression is [tex]n[/tex].

Given:

The given expression is:

[tex]\left(\dfrac{2n}{6n+4}\right)\left(\dfrac{3n+2}{3n-2}\right)[/tex]

To find:

The numerator of the simplified expression.

Explanation:

We have,

[tex]\left(\dfrac{2n}{6n+4}\right)\left(\dfrac{3n+2}{3n-2}\right)[/tex]

It can be written as:

[tex]=\left(\dfrac{2n}{2(3n+2)}\right)\left(\dfrac{3n+2}{3n-2}\right)[/tex]

[tex]=\dfrac{2n(3n+2)}{2(3n+2)(3n-2)}[/tex]

[tex]=\dfrac{n}{3n-2}[/tex]

Therefore, the numerator of the simplified expression is [tex]n[/tex].

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Answer:

[tex] A = 40^\circ [/tex]

Step-by-step explanation:

Use the inverse cosine function.

[tex] \cos A = 0.7660 [/tex]

[tex] A = \cos^{-1} 0.7660 [/tex]

[tex] A = 40^\circ [/tex]

To find angle A when cos A = 0.7660, use the inverse cos function on a calculator set to degree mode, which reveals that A is approximately 40 degrees.

To find angle A to the nearest degree when given that cos A = 0.7660, we must use the inverse cosine function (also known as arccos). This can be done using a calculator set to degree mode.

Typically, you would enter 0.7660 and then press the inverse cos or arccos button on your calculator to find the angle in degrees. According to the given information, if cos A = 0.7660, then A is approximately 40 degrees, since the cosine for 40° is closest to 0.7660.

Remember to have your calculator set to degree mode rather than radian mode, to obtain the angle in degrees.

Answer:

Lenght=50 feet.

Width=44 feet.

Step-by-step explanation:

1.  He wants the width of his new garden to be 6 less than the length, this can be expressed as following:

[tex]W=L-6[/tex]

Where W is the width L is the length.

2. The perimeter of a rectangle can be calculated with:

[tex]P=2L+2W[/tex]

3. You know the perimeter, therefore, you can substitute [tex]W=L-6[/tex] into the equation of the perimeter and solve for the length:

[tex]2L+2(L-6)=188\\2L+2L-12=188\\4L=200\\L=50[/tex] (The length is 50 feet)

3. Then, the width is:

[tex]W=L-6[/tex]

[tex]W=50-6=44[/tex] (The width is 44 feet)

Answer:

(5x-2) and (x+2)

Step-by-step explanation:

Answer:

the factors are (5x-2)  and (x+2)

Step-by-step explanation:

5x^2 + 8x – 4

first we multiply 5  and -4= -20

product is -20  and sum is +8

find out two factors whose product is -20 and add upto +8

10 * (-2) = 20

10 +(-2)= 8

5x^2 +10x-2x – 4

group the terms and factor out GCF

(5x^2 +10x)+(-2x – 4)

5(x+2) -2(x+2)

(5x-2)(x+2)

the factors are (5x-2)  and (x+2)

Answer:

x=-12 and -3

Step-by-step explanation:

The quadratic formula is

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex].

It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. We will substitute a=1, b=15 and c=36.

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-15+/-\sqrt{(15)^2-4(1)(36)} }{2(1)}\\x=\frac{-15+/-\sqrt{225-144} }{2}[/tex]

We will now simplify and solve.

[tex]x=\frac{-15+/-\sqrt{81}}{2}\\x=\frac{-15+/-9}{2}[/tex]

x=-12 and x=-3

1) From the total of 17 marbles, Jacob takes 2 out at random. There are

[tex]\dbinom{17}2=C(17,2)=C^{17}_2=\dfrac{P(17,2)}{2!}=\dfrac{P^{17}_2}{2!}=\dfrac{17!}{2!(17-2)!}=136[/tex]

possible outcomes of the draw. (Lots of different notations are used for the binomial coefficient; the first one is my preference.) The number of ways to draw exactly 2 orange marbles is

[tex]\dbinom70\dbinom{10}2=1\cdot1\cdot45=45[/tex]

That is, of the 3 red and 4 blue marbles - or the 7 non-orange marbles - we want 0; of the 10 oranges, we want 2.

So the probability of drawing exactly 2 orange marbles is [tex]\dfrac{45}{136}\approx0.33[/tex].

2) Now Jacob draws 3 marbles, for which there are

[tex]\dbinom{17}3=680[/tex]

possible combinations. The event that Jacob draws at least 1 orange marble is complementary to the event that Jacob draws 0 orange marbles. So if we find the probabilty of drawing 0 oranges, then we subtract this from 1 to find the probability of drawing at least 1.

There are

[tex]\dbinom73\dbinom{10}0=35\cdot1=35[/tex]

possible ways of doing, so the probability of drawing 0 oranges is [tex]\dfrac{35}{680}[/tex], in turn making the probability of drawing at least 1, [tex]1-\dfrac{35}{680}=\dfrac{645}{680}\approx0.95[/tex].

3) This question is kinda ambiguous. It's not clear whether Jacob draws a marble with or without replacement.

If he does return a drawn marble to the bag, then for each draw, there is a [tex]\dfrac{10}{17}[/tex] probability that he draws an orange marble, and a [tex]\dfrac7{17}[/tex] probability of not. The draws are presumably independent of one another, so that the probability of drawing the first orange marble on the fourth attempt would be

[tex]\dfrac7{17}\cdot\dfrac7{17}\cdot\dfrac7{17}\cdot\dfrac{10}{17}=\dfrac{3430}{83521}\approx0.041[/tex]

If no replacements are made, then as non-orange marbles are drawn from the bag, the number of non-oranges and the total number of marbles both decrease by 1. Then the probability of drawing orange on the fourth draw would be

[tex]\dfrac{\dbinom71\dbinom61\dbinom51\dbinom{10}1}{\dbinom{17}1\dbinom{16}1\dbinom{15}1\dbinom{14}1}=\dfrac5{136}\approx0.037[/tex]

If you're supposed to round to the nearest hundredths place, your final answer should be acceptable either way.

4) We want the probability that a boat is made of wood given that it has chrome accents:

[tex]P(\text{wood}\mid\text{chrome})=\dfrac{P(\text{wood AND chrome})}{P(\text{chrome})}=\dfrac{70\%}{75\%}\approx93\%[/tex]

5) We apply the inclusion/exclusion principle:

[tex]P(\text{wood OR chrome})=P(\text{wood})+P(\text{chrome})-P(\text{wood AND chrome})[/tex]

[tex]P(\text{wood OR chrome})=90\%+75\%-70\%=95\%[/tex]

6) The events of a boat having chrome accents and a boat being made of wood are independent if and only if

[tex]P(\text{wood AND chrome})=P(\text{wood})\cdot P(\text{chrome)}[/tex]

But [tex]90\%\cdot75\%=67.5\%\neq70\%[/tex], so these two events are not independent.

Answer:

slope = 1 , y- intercept = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = x - 5 is in this form

with slope m = 1 and y- intercept c = - 5

Answer:

Hello, the answer tho this question is C.) 70.7 feet.

Answer:

y = 2x + 17

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

To calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 7, 3) and (x₂, y₂ ) = (- 10, - 3)

m = [tex]\frac{-3-3}{-10+7}[/tex] = [tex]\frac{-6}{-3}[/tex] = 2

y = 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 7, 3 ), then

3 = - 14 + c ⇒ c = 3 + 14 = 17

y = 2x + 17 ← equation of line

The probability of getting a 5 from the first rolling is 1/6.  The probability of getting an even number  is 1/2 (= 1/6 (for a 2) + 1/6 (for a 4) + 1/6 (for a 6)).  As the two rollings are independent, you can just multiply two probability values to come up with a final answer.  That is, (1/6)·(1/2) = 1/12.

Note that I did not write this. This answer comes from Wyzant. I am only linking this to you so that you'll get the answer quickly.

Answer:

i think its 1 out of 6 or 2 out of 12 depending on the way you meant the question  im pretty sure this is right correct me if iam wrong

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Two facts need to guide your answer.

One

The highest power is odd: you know this because an even power would start on the left come down do it's squiggles if had any and wind up on the right going up.

This graph comes down on the left does it's squiggles and then goes further down on the right. That's the behavior of something whose highest power is odd.

Two

The leading coefficient,  the number in front of the highest power must be minus. If it was positive as in y = x^3 the graph would be the mirror image of what it is.

Argument

B and D cannot be true. The highest power is even.

C is false because the leading coefficient is + 1.

So that leave A which is the answer.

The graph is included with this answer

The position graph shown in the question represents an object that is undergoing uniform motion. To create this graph, you would need a linear function that describes linear motion.

The position graph shown in the question represents an object that is undergoing uniform motion. Uniform motion occurs when an object travels at a constant speed in a straight line. The graph shows a linear relationship between position and time, with the object consistently moving in the same direction.

To create this graph, you would need a function that describes linear motion. A linear function in the form of y = mx + b, where y represents position, x represents time, m represents the slope (rate of change of position with respect to time), and b represents the initial position. The slope of the line in the graph represents the speed of the object.

For example, the function y = 2x would create a position vs. time graph with a slope of 2, indicating that the object is moving at a constant speed of 2 units per time interval. Similarly, any other linear function with a constant slope could create this graph.

Answer:

Option C is the correct option.

Step-by-step explanation:

In the given cosine graph we can draw some parameters of the equation as below

y = a cos(bx + c) + d

1) amplitude a = (1+3)/2=2

2) Period = π

3) phase shift = -π ( to the left)

4) Vertical shift = -1 ( downwards on y-axis)

Therefore the equation of the graph will be

y = -2cos[2(x + π)] - 1

Option C is the correct answer.

Answer:

x = 29 1/3 degrees

Step-by-step explanation:

A triangle has 3 angle that total 180 degrees.

The three angles given are 82 degrees ,2x+10 degrees and x degrees.

So,  

82+ (2x+10) + x = 180

Combine like terms.

92 + 3x = 180

Subtract 92 from each side

3x = 180 -92

3x = 88

divide each side by 3

3x/3 = 88/3

Change 88/ 3 to a mixed number

3 goes in to 88 29 times  with 1 left over.

x = 29 1/3 degrees

Answer:

Answer: D

Step-by-step explanation:

The y intercept always occurs when x = 0.

f(x) = (1/2)^x

f(0) = (1/2)^0

f(0) = 1

So when x = 0 f(x) = 1

(0,1)

or D

Answer:0,1

Step-by-step explanation:

Answer:

Your answer would be D: isometry

Step-by-step explanation:

Answer:

It is D

Step-by-step explanation:

Answer:

16x - 2y

Step-by-step explanation:

12x+4(x+y)-6y

Distributive property

=  12x + 4x + 4y -6y

Combine like terms

= 16x - 2y

Expand

12x + 4x + 4y - 6y

Collect like terms

(12x + 4x) + (4y - 6y)

Simplify

16x - 2y

Final answer:

Autry scored 9 times during the basketball game by multiplying the shot percentage (0.45) by the total number of shots attempted (20).

Explanation:

The student's question is, how many shots did Autry score if he made 45% of his shots and attempted 20 shots in total? To calculate this, you can use the following steps:

Convert the percentage to a decimal by dividing by 100. So, 45% becomes 0.45.

Multiply this decimal by the total number of shots attempted. In this case, 0.45 multiplied by 20 shots.

The result gives you the number of successful shots Autry made.

So, performing the calculation:

0.45 × 20 = 9

Autry scored 9 times during the basketball game.

The student needs to calculate the total number of ounces collected by multiplying the number of students by the amount each student brought in, then add these totals together. The collection goal of 200 ounces minus this sum will equal the number of ounces left to be collected.

To answer your question properly, we first need to calculate the number of ounces the students have already collected. The calculation goes as follows: (3 students * 12.7 ounces per student) + (4 students * 17.3 ounces per student). The result of these calculations will be the total ounces of cans brought in. To determine how many ounces of cans are left to be collected to reach the goal, we subtract this sum from 200, the collection goal in ounces. As these are basic arithmetic calculations, they present an example of how mathematics can be used to solve practical problems relating to the real-world context of the question.

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Answer:

I really can't show a tree diagram on here, So i will come back to this question if I figure out how to do that.

Step-by-step explanation:

When spinning two matching-letter spinners with four letters each, there are 4 out of 16 possible outcomes where you win. Therefore, the probability of winning is 25%.

To calculate the probability of winning when spinning two matching-letter spinners, we need to know the number of possible outcomes and the number of successful outcomes.

If both spinners have the same set of letters, let's say A, B, C, and D, then there are a total of 4 x 4 = 16 possible outcomes when you spin both spinners (4 possibilities on the first spinner times 4 possibilities on the second spinner).

Out of these 16 possible outcomes, there are 4 outcomes where the letters match (A-A, B-B, C-C, D-D). So, there are 4 successful outcomes.

To find the probability of winning, you divide the number of successful outcomes by the total number of possible outcomes:

Probability of winning = (Number of Successful Outcomes) / (Total Number of Possible Outcomes) = 4/16 = 1/4 = 25%

So, the probability of winning when spinning two matching-letter spinners is 25%.

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The probable question maybe :

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Two spinners are shown to the right are spun. If the letters match you win otherwise you lose. What is the probability that you win?