Use vectors to find the interior angles of the triangle with the given vertices. (Round your answers to two decimal places.) (3,5), (6, 8), (5,9) • (smallest value) (largest value)

The parametric equations x = t, y = t2, t ≥ 0, model the position of a moving object at time t. When t = 0, the object is at (0, 0) since x = t = 0 and y = t^2 = 0^2 = 0. When t = 1, the object is at (1, 1) since x = t = 1 and y = t^2 = 1^2 = 1.

To determine the position of the object at t = 0 and t = 1, we can substitute these values into the given parametric equations.

When t = 0:

x = 0

y = 0^2 = 0

Therefore, at t = 0, the object is at the point (0, 0).

When t = 1:

x = 1

y = 1^2 = 1

Therefore, at t = 1, the object is at the point (1, 1).

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Answer:

a. v = 263.89

b. v = 343.057

Step-by-step explanation:

a. πr²·h/3

b. 263.89 · 1.3 = 343.057

good luck, i hope this helps :)

Answer:

Step-by-step explanation:Answer:

a. v = 263.89

b. v = 343.057

Step-by-step explanation:

a. πr²·h/3

b. 263.89 · 1.3 = 343.057

good luck, i hope this helps :)Answer:

H: p = 0.25 is the null hypothesis, whereas H: p > 0.25 is the alternative hypothesis.

According to the null hypothesis, any difference between the chosen qualities that you see in a set of data is assumed to be the consequence of chance.

The claim is made that the card was identified far more frequently than chance would suggest, based on the information presented.

The percentage of cards chosen will be 1 ÷ 4 = 0.25.

As a result, H: p = 0.25 is the null hypothesis, whereas H: p > 0.25 is the alternative hypothesis.

The two alternatives being equal is the null hypothesis. The underlying assumption is that the observed difference is just the result of chance.

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-12 -(-7) could not be a distance.

Distance:

Distance traveled is the total length of the path traveled between two positions. It can either be a 0 or a positive number that's mean it can never be a negative number.

So from the above-given statement we have

a) 19-7 = 12 (which is positive number)

b) -12 - (-7) = -12 + 7 = -5 ( which is a negative number)

c) -3-(-18) = -3 + 18 = 15 ( which is a positive number)

d) 14-(-6) = 14 + 6 = 20 ( which is a positive number)

Therefore option b i.e., -12 - (-7) cannot be a distance between two points on a number line.

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The distance of the run is 12meters from the initial point.

Since, we are given the time duration between the two joggers.

So, let suppose from the initial point the length of run is S meters.

Since speed is given in hours, in that case we need to take time in hours also.

Now, we assume first jogger takes t₁ times and second jogger takes t₂ times, in that case using distance -speed formula

=>Distance=Speed × Time

=>Distance/Speed=time

For first jogger

=>S/8=t₁ -----(eq1)

Similarly, for second jogger

=>S/6=t₂----------(eq2)

Subtract both of equations and equating to equal to 1/2hrs,we get

=>S/6-S/8=1/2

=>S=(6×8)/4

=>S=12m

Hence, we can conclude that distance of run is 12meters.

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Answer:

(6, 2)

Step-by-step explanation:

I did this over 10 times it's so easy it is like a breeze

Answer:(-2,5)

Step-by-step explanation:

Answer:

not sure if it's a or b but I think it's a

Answer:

2

Step-by-step explanation:

The 46th term is 324.

Critical value of t for testing the significance of each of the independent variable's coefficients will have 90 degree of freedom.

We are given the following parameters or data or information

"A regression analysis involved 8 independent variables", " 99 observations. "

Number of observations = 99

Number of independent variables = 8

In regression, the critical value t for testing the significance of variable's coefficients has the number of degrees of freedom formula which is (number of observations) - (number of independent variables + 1).

To determine the critical value of t for testing the significance of each of the independent variable's coefficient.

Hence, the formula below will used in Calculating or in the determination of the degree of freedom;

Degree of freedom = (number of observations) - (number of independent variables + 1).

Thus, slotting bin the values into the formula above, we have;

The degree of freedom = 99 - (8 +1) = 90.

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The length of a human's femur, x, and the length of a human's humerus, Y would ,positive correlation.

A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.

A scale from + 1 to -1 is used to calculate the correlation coefficient. Either + 1 or -1 represents a variable's complete connection with another. The correlation is positive when one variable rises as the other rises; it is negative when one variable falls as the other rises.

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The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.

The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).

Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake

Throughput capacity = 100 cupcakes / 1.25 minutes

Throughput capacity = 80 cupcakes per minute

The closest answer is 80 cupcakes per minute, so the correct option is .8.

The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.

Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)

Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)

Throughput time = 40 minutes + 125 minutes

Throughput time = 165 minutes

The closest answer is 165 minutes, so the correct option is 165.

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The provided function's definite integral from 0 to 10 is closest to 4.

The area of each zone that the function, the x-axis, and the two vertical lines at x = 0 and x = 10 bounds is added to form the definite integral of the function. The definite integral that results from adding up each of these areas is the one that is closest to 4. The area of the region above the x-axis is larger than the area of the region below the x-axis, which explains this. The area of the region above the x-axis is higher than the area below the x-axis because the function is rising across the interval. The overall area is closer to 4 since the area of the region below the x-axis is negative. As a result, 4 is the closest value for the definite integral of the 0–10 function.

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Step-by-step explanation:

7p=8+4

7p=12

p=12/7

the correct answer is option A

Answer:

cos A

sin C

Step-by-step explanation:

cos A and sin C are the trigonometric ratios that are equivalent to 5/13.

In triangle ABC, CosA and sinC are equivalent to 5/13

Trigonometric ratios is used to show the relationship between the sides and angles of a right angled triangle.

`From the triangle ABC, using trigonometric ratio:

sinC = 10 / 26 = 5/13

CosA = 10/26 = 5/13

In triangle ABC, CosA and sinC are equivalent to 5/13

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Answer:

50x - 99 x =79 + 31 is your answer

Step-by-step explanation:

Answer:

(-0.5,0)

Step-by-step explanation:

Answer:

A.  Circle.

     \((x+15)^2+(y-0)^2=13^2\)

B.  Parabola.

     \((x-15)^2=-16(y-20)\)

C.  Maximum height of Tunnel A = 13 ft.

     Maximum height of Tunnel B = 20 ft.

     The truck can only pass through Tunnel B without damage.

Step-by-step explanation:

\(\boxed{\begin{minipage}{6.3cm}\underline{General equation for any conic section}\\\\$Ax^2+Bxy+Cy^2+Dx+Ey+F = 0$\\\\where $A, B, C, D, E, F$ are constants.\\\end{minipage}}\)

Circle:  A and C are non-zero and equal, and have the same sign.

Ellipse:  A and C are non-zero and unequal, and have the same sign.

Parabola:  A or C is zero.

Hyperbola:  A and C are non-zero and have different signs.

Tunnel A

\(x^2+y^2+30x+56=0\)

As the coefficients of x² and y² are non-zero, equal and have the same sign, the conic section is a circle.

\(\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h, k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Rewrite the given equation for Tunnel A in the standard form of the equation of a circle:

\(\implies x^2+y^2+30x+56=0\)

\(\implies x^2+30x+y^2-56\)

\(\implies x^2+30x+\left(\dfrac{30}{2}\right)^2+y^2=-56+\left(\dfrac{30}{2}\right)^2\)

\(\implies x^2+30x+225+y^2=-56+225\)

\(\implies (x+15)^2+(y-0)^2=169\)

\(\implies (x+15)^2+(y-0)^2=13^2\)

Therefore, the center of the circle is (-15, 0) and the radius is 13.

Tunnel B

\(x^2-30x+16y-95=0\)

There is no term in y² so the coefficient of y² is zero.  Therefore, the conic section is a parabola.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Standard form of a parabola}\\(with a vertical axis of symmetry)\\\\$(x-h)^2=4p(y-k)$\\\\where:\\ \phantom{ww}$\bullet$ $p\neq 0$. \\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex.\\\end{minipage}}\)

Rewrite the given equation for Tunnel B in the standard form a parabola:

\(\implies x^2-30x+16y-95=0\)

\(\implies x^2-30x=-16y+95\)

\(\implies x^2-30x+\left(\dfrac{30}{2}\right)^2=-16y+95+\left(\dfrac{30}{2}\right)^2\)

\(\implies x^2-30x+225=-16y+95+225\)

\(\implies (x-15)^2=-16(y-20)\)

Therefore, the vertex is (15, 20).

Maximum height of Tunnel A

The maximum point of a circle is the sum of the y-value of its center and its radius:

Maximum height of Tunnel B

The maximum point of a downwards opening parabola is the y-value of its vertex:

As the truck is 13.5 feet high, it cannot pass through Tunnel A since the maximum height of Tunnel A is 13 feet.

The maximum height of Tunnel B is certainly adequate for the truck to pass through.  However, to determine if the truck can pass through Tunnel B safely, we also need to find the width of the tunnel when its height is 13.5 feet.  To do this, find the x-values of the parabola when y = 13.5.  If the difference in x-values is 8 or more, then the truck can pass through safely.

Substitute y = 13.5 into the equation for Tunnel B and solve for x:

\(\implies (x-15)^2=-16(13.5-20)\)

\(\implies (x-15)^2=-16(-6.5)\)

\(\implies (x-15)^2=104\)

\(\implies \sqrt{(x-15)^2}=\sqrt{104}\)

\(\implies x-15=\pm\sqrt{104}\)

\(\implies x=15\pm\sqrt{104}\)

Now find the difference between the two found values of x:

\(\implies (15+\sqrt{104})-(15-\sqrt{104})\)

\(\implies 15+\sqrt{104}-15+\sqrt{104}\)

\(\implies 2\sqrt{104}\)

\(\implies 20.39607...\)

Therefore, as the width of Tunnel B is 20.4 ft when its height is 13.5 ft, the 8 ft wide truck can easily pass through without damage since 20.4 ft is greater than the width of the truck.

Answer:

HI ther COCO QUINN i don't know you and never heard of you before in my life so the answer I got is D

Step-by-step explanation:

Answer:

Answer is D

Step-by-step explanation:

Answer:

(24.5, 6.5)

Step-by-step explanation:

We can set up two equations:

x+y=31

x-y=18

Now, when we add the two equations, we get

2x=49

When we divide we get

24.5 for x.

Now we can plug this in the first equation:

24.5+y=31

minus 24.5 on both sides to get

y=6.5

Hope this helped!

~Cain

Answer:

The sum of two numbers is 31 and their difference is 18

what are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 31. In other words, x plus y equals 31 and can be written as equation A:

x + y = 31

The difference between x and y is 17. In other words, x minus y equals 17 and can be written as equation B:

x - y = 18

Now solve equation B for x to get the revised equation B:

x - y = 18

x = 17 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 31

17 + y + y = 31

17 + 2y = 31

2y = 13

y = 6

Now we know y is 6.5 .Which means that we can substitute y for 6.5 in equation A and solve for x:

x + y = 31

x + 6.5 = 31

X = 25.5

Summary: The sum of two numbers is 31 and their difference is 18. What are the two numbers? Answer: 25.5 and 6.5 as proven here:

Sum: 25.5 + 6.5 = 31

Difference: 25.5 - 6.5 = 19

A cube that really is 1 inch long, 1 inch wide, and 1 inch high serves as the unit of measurement.

A cube its sides each are one unit long is said to be a unit cube. Volume. The volume of anything is the quantity of space it occupies. Cube volume in units: Every side of a cube is the same size.

Given: The Cube's 12 edges, 6 faces, and 8 vertices are all known.

Hence, we need a unit cube so that all of our measurements for length, width, and height are in the same units.

Then each edge should be one length.

According to it, a cube having the dimensions 1 inch long, 1 inch wide, and 1 inch high is the unit cube.

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Ubiquitin attaches to a target protein via a lysine/serine covalent bond.

Ubiquitin is a small protein that plays a crucial role in the regulation of protein degradation and signaling within cells. It attaches to target proteins through a process called ubiquitination. This process involves the formation of a covalent bond between the C-terminal glycine residue of ubiquitin and the lysine or serine residue of the target protein.

The attachment of ubiquitin to a target protein occurs in a series of steps. First, an activating enzyme (E1) activates ubiquitin by forming a high-energy thioester bond with its C-terminal glycine residue. Then, the activated ubiquitin is transferred to a conjugating enzyme (E2). Finally, a ligase enzyme (E3) recognizes the target protein and facilitates the transfer of ubiquitin from the E2 enzyme to the lysine or serine residue of the target protein, forming a covalent bond.

This covalent attachment of ubiquitin to the target protein acts as a signal for various cellular processes, such as protein degradation by the proteasome or alterations in protein localization and function. The specificity of ubiquitin attachment is determined by the interaction between the E3 ligase and the target protein, as well as the recognition of specific lysine or serine residues within the target protein.

Overall, the attachment of ubiquitin to a target protein via a lysine/serine covalent bond is a crucial mechanism for regulating protein function and cellular processes.

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Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.

The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:

W = F * d

where:

W is the work done in joules

F is the force in newtons

d is the distance in meters

The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.

The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.

Plugging these values into the equation for work, we get:

W = 102.8 N * 4600 m = 472320 J

The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:

472320 J / 29 kJ/mol = 162.6 mol

To one decimal place, this is 0.23 moles of ATP.

Here are the assumptions that we made in this calculation:

No friction

No mass of the bike

A flat ride with no change in altitude

These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.

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Answer: C

Step-by-step explanation:

It the only one that includes both.

Answer:

Step-by-step explanation:

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Answer=4/5

The fraction of his original money does he have left = 4/5 .

What is a fraction in math?

A boy has = 800 and spends = 160

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Therefore, his original money left =4/5

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Given:

Principal amount = $2000

Rate of interest = 3.5% compounded quarterly.

Time = 6 years

To find:

The amount after 6 years.

Solution:

The formula for amount after compound interest is:

\(A=P\left(1+\dfrac{r}{n}\right)^{nt}\)

Where, P is principal, r is rate of interest in decimal, n is the number of time interest compounded in an year and t is the number of years.

The interest is compounded quarterly, so \(n=4\).

Substituting \(P=2000,r=0.035,n=4,t=6\), we get

\(A=2000\left(1+\dfrac{0.035}{4}\right)^{4(6)}\)

\(A=2000\left(1+0.00875\right)^{24}\)

\(A=2000\left(1.00875\right)^{24}\)

\(A=2465.10340\)

Approximate the value to the nearest hundredth.

\(A\approx 2465.10\)

The amount after 6 years us $2465.10. Therefore, the correct option is A.

Answer:

55 inches

Step-by-step explanation:

2 posters x 28 inches each = 56

221 - 56 = 165 inches

3 blank spaces on wall

165 ÷ 3 = 55 inches between posters and on either side

Answer:

200.96

Step-by-step explanation:

Hope it helps! Good luck with math.

Answer:

with what??

Step-by-step explanation:

Answer: 12x+6=3(4x+2)

Step-by-step explanation: :):)

Answer:

Sl

\(sln \\ 5.76 {}^{ 12} \)

Answer:

7; 19; 24; 10; 17; 21; 6; 22; 5; 9

Arrange: 5; 5; 6; 7; 9; 10; 17; 19; 21; 22; 24

( 5+5+6+7+9+10+17+19+21+22+24 ) / 11

Mean = 145 / 11

Mean = 13,18

Mode = 5

(5 is the only value that appears most often)

Median = 10

Answer:

Step-by-step explanation: 119.5