What is -4 times 7/10

Answer:

3,304

Step-by-step explanation:

The ending height of the object is 304 feet.

Given that, an object is launched at an upward velocity of 96 feet per second from the top of a building 160 feet above the ground.

The vertical motion model is \(h=-16t^2+vt+c\).

Here, c=160 and v=96

Now, \(h=-16t^2+96t+160\)

Maximum h is at axis of symmetry.

Thus, \(t=-\frac{b}{2a}\)

\(= -\frac{96}{2\times(-16)}\)

\(= -\frac{96}{(-32)}\)

\(= 3\)

Substitute \(t=3\) in \(h=-16t^2+96t+160\), we get

\(h=-16\times3^2+96\times3+160\)

\(= -16\times9+288+160\)

\(= -144+448\)

\(= 304\)

Therefore, the ending height of the object is 304 feet.

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Answer:x=20 y=70

Step-by-step explanation:

Answer:

x=20, y=70

Step-by-step explanation:

∠40°+∠adjacent to it =180°

∠adjacent= 180-40=140°

we see that 2 of the sides of one of the small triangles are congruent so that triangle is isoscel so the base angles are congruent as well

because sum of angles in a triangle has to be 180,

140 +x+x=180 so x=20°

from the right triange we see thhat y +90+20 =180 because sum of angle in a triangle has to be 180 so y=70

Answer:

120.8 feet

Step-by-step explanation:

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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The sample space for rolling a number cube with faces labeled from 1 to 6 consists of all the possible outcomes or numbers that could be rolled. The sample space can be represented as {1, 2, 3, 4, 5, 6}.

In this case, rolling the number cube once gives us six equally likely outcomes, which are represented by the numbers 1, 2, 3, 4, 5, and 6. Each number represents the face that lands on top when the cube is rolled.

The sample space represents all the possible results that can occur when rolling the number cube, and it includes all the distinct elements or numbers in the set {1, 2, 3, 4, 5, 6}. Each number in the sample space has an equal probability of occurring since the number cube is fair and unbiased.Therefore, the sample space for rolling the number cube once is {1, 2, 3, 4, 5, 6}.

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Answer:

2y-x-1

Step-by-step explanation:

use zero property

(-2x. +2x) =0

=6y-x+5-4y-6

collect like terms

6y-4y=2y

=2y-x+5-6

calculate the difference

+5-6=-1

=2y-x-1

good day :)

The sequence of arithmetic sequence be 37, 29, 21, 13 then the 52nd term exists 445.

The term "arithmetic sequence" refers to an ordered collection of numbers with a common difference between each succeeding word.

Arithmetic sequences are those that contain these patterns. The difference between successive terms in an arithmetic series is constant.

An arithmetic sequence, also known as an arithmetic progression, is a set of numbers where each term differs from the one before it. The arithmetic sequence formula makes it simple to determine a term's value and the sequence's common difference.

The AP's first period is 37.

Common difference = 37 - 29 = 29 - 21 = 8.

Let the equation of arithmetic sequence be a + ( n - 1 )d, where d is the common difference and a is the first term.

To find the 52nd term, we get

substitute the values in the above equation, we get

⇒ 37 + ( 52 - 1 )8

simplifying the above equation, we get

⇒ 37 + ( 51 )8

⇒ 37 + 408

⇒ 445

Therefore, the 52nd term of the arithmetic sequence exists 445.

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To provide a general real-valued solution to a linear system of differential equations, specific equations need to be provided. Without the specific equations, it is not possible to determine the exact solution.

In general, a linear system of differential equations can be written in matrix form as follows:

dY/dt = AY,

where Y is a vector of functions, t is the independent variable, and A is a constant matrix.

To solve this system, one can use methods such as matrix diagonalization, eigenvalues, and eigenvectors, or the method of variation of parameters. These methods allow you to find the general solution of the system, which represents a family of solutions that satisfy the given equations.

It is important to note that the specific form of matrix A and the initial or boundary conditions if provided, will determine the exact solution to the system of differential equations.

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Answer:

B 15 has to be the answer i think but ion fully know

Answer:

b 15%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Required equations are:

The graphical solution is given below

Answer:

Answer:

(4, 28)

Step-by-step explanation:

Required equations are:

y = 5x + 8

y = 3.5x + 14

The graphical solution is given below

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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Part a: The volume of such base would appear to be larger than it was if the bubble was already let go before the titration's equivalence point.

Part b: There would be no impact if the bubble had already been let go after the equivalent point.

For the stated condition-

An air bubble was present in the buret tip as the student started his part II titration. Unnoticed bubble release occurred at some point in the titration.

The inaccuracy in his titration findings that the bubble would've have made if:

Part a: If the bubble had burst before the titration's equivalence point, the base's volume would have appeared larger than it originally was, having the base seem stronger than it is, and changing calculations.

Part b: There would be no impact if the bubble had already been let go after the equivalent point.

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Answer: y= 3/2x - 6

Step-by-step explanation:

The equation is y=mx + b

The y-intercept is when x = 0, so on the table y-intercept = -6

The slope is rise/run, we see that y increase by three and x increase by 2, so the slope is 3/2

to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{3 +3}{4} \implies \cfrac{ 6 }{ 4 } \implies {\Large \begin{array}{llll} \cfrac{3 }{ 2 } \end{array}}\)

now, the y-intercept occurs when x = 0, recheck the picture below.

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

\(6(2y-1)-2(3y)=9\\12y-6-6y=9\\6y-6=9\\6y=3\\y=\frac{1}{2}\)

Answer:

2.5

Step-by-step explanation:

12y-6-6y=9

sub 6y from 12y

6y-6=9

add 6 to both sides

6y=15

divide by 6 to both sides

y=2.5

(a) To find the probability that all five calls are emergencies, we need to calculate (1 - 0.85)^5, where 0.85 is the probability of a call not being an emergency.

(1 - 0.85)^5 = 0.00075. Therefore, the probability that all five calls are emergencies is approximately 0.00075 (rounded to five decimal places).

(b) To find the probability that two or more calls are not emergencies, we can calculate the complementary probability that none or only one call is not an emergency, and then subtract it from 1.

Probability of no calls being non-emergencies: (0.15)^5 = 0.00075
Probability of only one call being a non-emergency: 5 * (0.85)^1 * (0.15)^4 = 0.02643
Sum of these probabilities: 0.00075 + 0.02643 = 0.02718
1 - 0.02718 = 0.97282

Therefore, the probability that two or more calls are not emergencies is approximately 0.97282 (rounded to five decimal places).

(c) To find the smallest number of calls needed to be at least 92% sure that at least one call is an emergency, we can use the complementary probability that all calls are not emergencies.
Let n be the number of calls. We have:
(0.85)^n <= 0.08 (1 - 0.92)

Now, we solve for n:
n = log(0.08) / log(0.85) ≈ 8.96

Since n must be a whole number, we round up to the nearest whole number, which is 9. Therefore, the 911 operators need to answer at least 9 calls to be at least 92% sure that at least one call is an emergency.

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Kayla would have approximately $554.93 in the account after 12 years, rounded to the nearest dollar.

Learn more about To calculate the amount Kayla would have in the account after 12 years, we can use the formula for compound interest:

A = P * (1 + r/n)^(n*t)

Where:

A = the final amount

P = the principal amount (initial deposit)

r = the annual interest rate (in decimal form)

n = the number of times interest is compounded per year

t = the number of years

In this case, Kayla deposits $380 every quarter, so the principal amount (P) is $380. The annual interest rate (r) is 3.3% or 0.033 as a decimal. The interest is compounded quarterly, so n = 4. The number of years (t) is 12.

Plugging these values into the formula:

A = $380 * (1 + 0.033/4)^(4*12)

Calculating the exponent:

A = $380 * (1 + 0.00825)^(48)

A = $380 * (1.00825)^(48)

Using a calculator, we can calculate the value of (1.00825)^(48) ≈ 1.464096

A = $380 * 1.464096

A ≈ $554.93

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The angular velocity of a person standing on the equator is ω = 1.026 × 10⁻⁴ rad/s

Angular velocity is the number of revolution per second of an object.

Since a planet rotates through one complete revolution every 17 hours and since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 17 hours. We thus require its angular velocity.

The angular velocity is given by ω = 2π/T where T = period of revolution

Since the planet rotates through one complete revolution every 17 hours, its period, T = 17 hours = 17 h × 60 min/h × 60 s/min = 61200 s

So, substituting the period into the equation for the angular velocity, we have

ω = 2π/T

ω = 2π/61200 s

ω = π/30600 s

ω = 0.0001026 rad/s

ω = 1.026 × 10⁻⁴ rad/s

So, the angular velocity is ω = 1.026 × 10⁻⁴ rad/s

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The answer is B. 7x + 27 units.

Area is length multiplied by width, so to find the length, simply divide the expression 21x + 81 by the width --> 3.

21x becomes 7x, and 81 becomes 27.

what do you mean help? Help with what ask a question

Answer:

  19 units

Step-by-step explanation:

You want the period of the shifted sine function shown on the graph.

The period is the horizontal distance on the graph between corresponding points. That is, the graph repeats itself after 1 period.

Here, we can find the period by looking at the horizontal distance between the maximum points on the curve. The first one is at 1 unit from the vertical axis; the second one is at 20 units from the vertical axis. The distance between them is ...

  20 -1 = 19 . . . . units

The period of the function shown in the graph is 19 units.

__

Additional comment

In general, you want to look for places where an identifiable feature of the graph is found on a grid line. The zero-crossings are not on grid lines, nor are the minimum points. The peaks (maximum points) both appear to be on grid lines, so that is why we chose to use them.

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The number of ways in which the lottery ticket can be chosen are,

999.

Given, a lottery number is of 4 digits

we have to find the number of ways a lottery number can be chosen.

as, we have to choose 4 digits then, each place has 10 choices

so, the number of ways in which the lottery ticket can be chosen are,

10×10×10×10

10000

now, 0000 can not be any lottery number so,

the number of ways in which the lottery ticket can be chosen are,  

1000 - 1 = 999.

Hence, the number of ways in which the lottery ticket can be chosen are,

999.

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Using the central angle theorem, we can find that the value of the angle:

∠ BOC = 130°.

An inscribed angle is the angle formed inside the circle when two chords intersect it. It can also be defined as the angle made by two specific points at a given location on a circle. Instead, an inscribed angle is defined by two circle chords that share an endpoint.

In the given question,

O is the centre of the circle.

OC, OD, OE, OA and OB are all radius of the circle.

AC and BD are the diameters of the circle.

As BD intersects AC and the angles are given as:

∠COD = 50°

∠DOE = 60°

So, ∠ AOE = 180 - 50 - 60

= 70°

Similarly, ∠AOB = 50°.

Now, ∠ BOC = 360° - 50° - 60° - 70° - 50°

= 130°

Therefore, ∠ BOC = 130°.

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Answer:

1.8 pounds

Step-by-step explanation:

Answer:

6 gallons

Step-by-step explanation:

32/4=8

48/8=6

Answer: 6

Step-by-step explanation: If 4 gallons can take you 32 miles, divide 4 into 32 to get 8. That means 8 miles is 1 gallon. Now just do 48/8 to get 6.

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

Answer:

3x^2 - 12x·y^2 - 9y^2·y^4

Step-by-step explanation:

Apply the distributive property of multiplication here.

x times (3x - 3y^2) is 3x^2 - 3x·y^2.

3y^2 times (3x - 3y^2) is 9x·y^2 - 9y^2·y^4.  

Thus, the desired product of the given binomials is the sum of the above results:

3x^2 - 3x·y^2 - 9x·y^2 - 9y^2·y^4

which shortens to   3x^2 - 12x·y^2 - 9y^2·y^4

The values in b are compared with the true volume. And we conclude that b is precise and accurate.

Accuracy determines how closely measured values match the actual value. The degree to which two measured values are inside a certain range, or how closely they agree, is called precision.

First calculate the mean of a, b, and c. We get, the mean of a is 87.63, the mean of b is 87.06, and the mean of c is 87.77.

From the values in "a", we can tell there is no good agreement between the given values, and just one (87.1) value is near to the true value. So a is neither precise nor accurate.

From the values in "b", we can tell these given values are reasonably close to the true value and exhibit good agreement. So b is precise and accurate.

From the values in "c", we can tell there is a considerable agreement between the given values but they are not very close to the true value. So c is precise but not accurate.

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