a baseball is thrown upward from a rooftop 60 feet high. the function h(t)= -16t²+68t+60 describe the ball's height above the ground h(t) in feet t seconds after it is thrown. how long will it take for the ball to hit the ground?

Answer:

The answer is 0.7

Step-by-step explanation:

steve=2/5of hard disk program

remaining space=1-2/5=3/5

shella=1/3 of hard disk programs

remaining space =1-1/3=2/3

remaining space if steven deletes one program taking 1/10

=remaining space+1/10

R=3/5+1/10=7/10

The coordinates of point B are B((1 + √(3))/2, (1 - √(3))/2) or B((1 - √(3))/2, (1 + √(3))/2).

To reflect point A(2,3) over point (-1,2), we need to find the image of A that is equidistant from (-1,2) as A is. Let's call the image of A point B.

First, we need to find the distance between A and (-1,2):

d(A,(-1,2)) = √((2-(-1))^2 + (3-2)^2) = √(10)

Next, we need to find the point that is the same distance away from (-1,2) as A is:

d(B,(-1,2)) = √(10)

Using the distance formula, we can write the equation:

√((x+1)^2 + (y-2)^2) = √(10)

Squaring both sides and simplifying, we get:

(x+1)^2 + (y-2)^2 = 10

This is the equation of a circle centered at (-1,2) with radius sqrt(10).

Since we know that A is on the line of reflection (the perpendicular bisector of the segment connecting A and (-1,2)), we can find the equation of the line using the midpoint formula:

Midpoint of segment AB = ((2+x)/2, (3+y)/2) = ((2-1)/2, (3+2)/2) = (1.5, 2.5)

Solving for y, we get:

y - 2.5 = (x - 1.5)*(2-2)/(-1-1)

y = -x + 5

Now we need to find the intersection point of the line and the circle. Substituting y = -x + 5 into the equation of the circle, we get:

(x+1)^2 + (-x+3)^2 = 10

Simplifying, we get:

2x^2 - 2x - 2 = 0

Solving for x using the quadratic formula, we get:

x = (-(-2) ± √((-2)^2 - 4(2)(-2))) / (2(2))

x = (1 ± √(3))/2

Substituting each value of x into y = -x + 5, we get:

y = (1 + √(3))/2 or y = (1 - √(3))/2

Therefore, the coordinates of point B are:

B((1 + √(3))/2, (1 - √(3))/2) or B((1 - √(3))/2, (1 + √(3))/2)

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Answer:

B. x^2/3

Step-by-step explanation:

When you see exponents inside and outside the parentheses like that, you multiply them.

4/3 x 1/3 = 4/9

2/3 x 1/3 =2/9

4/9 - 2/9 = 6/9

6/9 reduced is 2/3.

Answer:

B: x^2/3

Step-by-step explanation:

Firs add the 4/3 and the 2/3 to get 6/3 which is 2 and then divide it by 3 which is 2/3. so it is x^2/3

Answer:

a = ?

b= ?

a= 180°-117°

a= 63 °

b= 180° - (63°+81°)

b= 36°

teacher might've made a mistake?

Answer:

 T

              fold it up =t

Step-by-step explanation:

Answer:

4 gallons = 64 cups

1 gallons = 16 cups

3 gallons = 48 cups

Answer: it has infinite solutions.

Step-by-step explanation:

\(y=3x-4\\-3y=-9x+12\)

Plug y in the second equation.

\(-3y=-9x+12\\-3(3x-4)=-9x+12\\-9x+12=-9x+12\\-9x+9x=12-12\\0=0\)

In the coordinate axis the point D is located at the position of (5,-2) .

In the given graph of the coordinate axis , we can see that the four points A,B,C and D are located

The coordinates of each point are :

A (-5,-2)

B (-2,5)

C (2,-5)

D (5,-2)

Therefore using the given abscissae and ordinate of the points the point that is located at (5,-2) is D.

A coordinate system in geometry is a way to use one or more integers, or coordinates, to determine the exact placement of points or other geometrical objects on a manifold, such Euclidean space.

The order of the coordinates is crucial, and they are frequently identified by their position in an ordered tuple or by a letter, such as "the x-coordinate." The coordinates are often real values in elementary mathematics, but they could also be complex numbers or parts of a more abstract system, such a commutative ring.

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The vertical distance through which the car rises is 16.7 m

"It is a triangle whose one of the angle is 90°."

In right triangle, for angle 'x',

sin(x) = (opposite side of angle x)/hypotenuse

For given example,

Consider the following figure for given situation.

A car travels 120 m along AC.

ΔABC is right triangle with hypotenuse AC.

∠C = 8°

Consider sine of angle C,

\(\Rightarrow sin(C)=\frac{AB}{AC}\\\\\Rightarrow sin(8^{\circ})=\frac{AB}{120}\\\\ \Rightarrow 0.1392=\frac{AB}{120}\\\\ \Rightarrow AB = 0.1392\times 120\\\\\Rightarrow AB = 16.70~ m\)

Therefore, the vertical distance through which the car rises is 16.7 m

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The mathematical formula used for congressional apportionment in the United States is the Method of Equal Proportions, represented by V = (P / √(n(n+1))).

The mathematical formula used for congressional apportionment in the United States is known as the Method of Equal Proportions. This formula is used to allocate the 435 seats in the House of Representatives among the 50 states based on population data from the decennial census.

The specific formula for apportionment is as follows:

V = (P / √(n(n+1)))

Where:

- V represents the priority value or priority score for each state

- P represents the state's population (using the most recent census data)

- n represents the number of seats already allocated

The apportionment process starts with an initial allocation of one seat to each state. Then, using the formula, the priority value is calculated for each state based on its population and the number of seats already allocated. The seat is then assigned to the state with the highest priority value, and the process continues iteratively until all 435 seats are allocated.

It's important to note that after each seat is allocated, the formula is recalculated with the updated number of seats already assigned to each state to determine the priority values for the remaining seats.

The Method of Equal Proportions is just one of the apportionment methods used in various countries. In the United States, it is the formula currently utilized for congressional apportionment, but it can be subject to debate and potential challenges due to its limitations and potential for small deviations from strict proportionality.

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Answer:f=4+

x

2

​

,x



=0

Step-by-step explanation:

In order to find the inverse of an equation, the easiest thing to do is to switch x and y and then isolate y:

x= 4y +2

4y = x-2

y = x - 2/4

Answer:

morning - 40

afternoon - 85

Step-by-step explanation:

The bus traveled 40 miles in the morning and 85 miles in the afternoon.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The school bus traveled five miles more on a field trip in the afternoon than it did in the morning. If the journey was 125 kilometers long

Let x the distance traveled by bus in the morning.

As per the given condition, we can get the equation shown below:

⇒ x + 2x + 5 = 125

⇒ 3x + 5 = 125

⇒ 3x = 120

⇒ x = 40

In the afternoon, the bus traveled 2x + 5 miles.

Now substitute the value of x in the equation for the afternoon miles to include:

⇒ 2 × 40 +5 = 85

Therefore, the bus traveled 40 miles in the morning and 85 miles in the afternoon.

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The probability of winning is 0.00078395061 or approximately 0.078%.

There are five dice, and each dice has six sides.

There are a total of 6^5 possible outcomes.

This gives us 7776 possible outcomes.

We want to find the probability that we get at least four 6s in the next round.

The probability of getting exactly four 6s can be found by using the binomial distribution, which is given by the formula:

P(4) = (5 choose 4) * (1/6)^4 * (5/6)^1

P(4) = 5 * (1/6)^4 * (5/6)^1

P(4) = 0.00077160493

The probability of getting exactly five 6s can be found in a similar way:

P(5) = (5 choose 5) * (1/6)^5 * (5/6)^0

P(5) = 1 * (1/6)^5 * (5/6)^0

P(5) = 0.00001234568

The probability of getting at least four 6s is the sum of the probabilities of getting exactly four 6s and exactly five 6s.

P(at least 4) = P(4) + P(5)

P(at least 4) = 0.00077160493 + 0.00001234568

P(at least 4) = 0.00078395061

So, the probability of winning the next round by rolling at least four number 6's is 0.00078395061. This is equivalent to approximately 0.078%. Hence, the probability of winning is 0.00078395061 or approximately 0.078% which is calculated by using binomial distribution formula.

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The correct answer will be Some underwater basket weavers are not serious students

The quality of the original proposition which was given to us is negative, it means there is as such no relationship between Subject and Predicate

So, if we change the quantity from universal to particular, then we will be referring to some, instead of referring to all the members of the class

This will imply that the resulting statement will still be negative in quality but it will be particular in quantity

So, according to the question if we only change the quantity, but not the quality of the proposition, the statement Some underwater basket weavers are not serious students will be formed

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Answer:

7

Step-by-step explanation:

5×0.4 = 2

2 + 5 = 7

The number a would be 7 which is 40% more than five more than a number a.

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.

We have been given the number that is 40% more than five more than a number a.

We need to find the unknown number a.

So, 40 % = 0.4

Let find the first part that is; "the number that is 40% more than five"

5 × 0.4 = 2

Now, five more than a number a.

2 + 5 = a

a = 7

Therefore, the number a would be 7 which is 40% more than five more than a number a.

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Answer:

https://photomath.net/s/1rp76m

Answer:

1. The slope is -5x and the y-intercept is 4

2. The slope is 0 and the y-intercept is 4

3. The slope is -3x and the y-intercept is 2

Answer:

10.5 I think

Step-by-step explanation:

the platform is 42ft so if you divide 42 by 4 you get 10.5

Answer:

The modes are 16, 17 and 20.

This is because they appear most often in the set of numbers. They each appear 3 times.

Have a good day :)

Answer:

• Mode is the observation that occurs most number of times.

therefore in this set of ungrouped data;

16 occurs 3 times

17 occurs 3 times

18 occurs 2 times

19 occurs 1 times

20 occurs 3 times

therefore mode here are 16,17 and 20

\(\frac{FI}{IG}=\frac{14}{28}=\frac{1}{2}\\\\\frac{FE}{EH}=\frac{12}{26}=\frac{6}{13}\)

So, IE is not parallel to GH.

Answer:

7

Step-by-step explanation:

-2 x 6 = -12

-6/1 ÷ -3/1 = 2

-12 - 2 = -14

-14 ÷ -2 = 7

The set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.

What are integers ?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, .

According to the Property of Closure, A set has the closure property under a particular operation if the result of the operation is always an element in the set.  If a set has the closure property under a particular operation, then we say that the set is “closed under the operation.”

Hence ,  the set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.

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Answer: X=1.1

Step-by-step explanation: Have a brilliant day- Lily (^_^)

Answer:

wheres question two

Step-by-step explanation:

you didnt add it

The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.

The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.

To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.

Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.

To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.

Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.

If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.

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Answer:

D. trapezoids

Answer:

D) 48°

Step-by-step explanation:

Step 1:  First, we need to know the sum of the measures of the interior angles of the polygon.  We can determine the sum using the formula,

(n - 2) * 180, where n is the number of sides of the polygon.

Since this polygon has 4 sides, we plug in 4 for n:

Sum = (4-2) * 180

Sum = 2 * 180

Sum = 360°

Thus, we know that the sum of the measures of the interior angles of the polygon is 360°.

Step 2:  Now we can set the sum of four angles equal to 360 to solve for x:

127 + (5x + 3) + 88 + (10x + 7) = 360

215 + (5x + 3 + 10x + 7) = 360

215 + 15x + 10 = 360

225 + 15x = 360

15x = 135

x = 9

Step 3:  Now we can plug in 9 for x in the equation representing the measure of E to find the measure of E:

E = 5(9) + 3

E = 45 + 3

E = 48

Thus, the measure of E is 48°

Optional Step 4:

We can check that E = 48 by again making the sum of the angles = 360.  We already know the measures of angles J, E, and S so we can just plug in 9 for x in the expression representing angle J.  If we get 360 on both sides, we've correctly found the measure of E:

K + J + E + S = 360

(10(9) + 7) + (127 + 48 + 88) = 360

(90 + 7) + 263 = 360

97 + 263 = 360

360 = 360

Thus, we've correctly found the measure of E

Answer:

9/10

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

right on EDG2020 trust me:P

The function that is linear is the function that is a straight line

A linear function can be identified on a graph by its shape.

A linear function will always have a straight line.  So, if the graph of several functions, then the linear function would be a straight line.

To confirm that it is a linear function, you can check if it has the form y = mx + b, where m and b are constants.

In this form, m represents the slope of the line, which is a measure of how steep the line is.  and b is the y-intercept

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