1/5 divied by 2 as a fraction

Answer: d. y= -2 2x+y= -3

Step-by-step explanation: Hope this help :D

Answer:

T=-80

Step-by-step explanation:

P=kr/T when p=4 T=20 r= 2 k=40 so when p=-5,r=10 then T=-80

25 x 2 = 50

60 x 2 = 120

120 + 50 = 170

So they have travelled 170 miles apart from one another.

or 170 mi/h

Answer:

4p³z - 14z +13

Step-by-step explanation:

(5p³z -9z +9) - (p³z +5z -4)

the - multiplies the bracket

5p³z -9z +9 -p³z -5z +4

collect like terms

5p³z -p³z -9z -5z +9+4

4p³z - 14z +13

Answer:

( 11 2 + y ) ( 11 2 + y ) = 8

Step-by-step explanation:

Answer:

t=11

Step-by-step explanation:

Step 1: Simplify both sides of the equation

1/2(4t+6)=25

(1/2)(4t)+(1/2)(6)=25

2t+3=25

Step 2: Subtract 3 from both sides

2t+3−3=25−3

2t=22

Step 3: Divide both sides by 2

2t/2 = 22/2

22 divided by 2 is 11

The correct answer is Prediction intervals make sense since they account for both the vulnerability in evaluating the mean and the inconstancy of personal perceptions.

A confidence interval is an estimate of the range of values ​​over which the true population mean is likely to fall within the specified confidence level.

It is based on the sample mean and sample size and assumes that the variability of observations is constant across the range of predictor variables.

A prediction interval, on the other hand, is an estimate of the range of values ​​to which a single observation is likely at a given confidence level.

This accounts for both the uncertainty in estimating the mean and the variability of individual observations.

It is therefore wider than a confidence interval that only accounts for the uncertainty in estimating the mean.

Therefore, it makes sense that the prediction interval for y is wider than the confidence interval.  

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Answer:

Step-by-step explanation:

\(-(x-4)^2+2=-(x-4)(x-4)+2 = -(x^2-4x-4x+16)+2 = \\\\=-(x^2-8x+16)+2=-x^2+8x-16+2=\underline{\ -x^2+8x-14\ }\)

Answer:x = -5/3 or x = 1/2

Step-by-step explanation:

Let's solve your equation step-by-step.

6x2+7x−5=0

Step 1: Factor left side of equation.

(3x+5)(2x−1)=0

Step 2: Set factors equal to 0.

3x+5 = 0 or 2x−1 = 0

x = -5/3 or x = 1/2

Answer:

\(x=\frac{1}{2}\)

\(x=-1\frac{2}{3}\)

Step-by-step explanation:

\(x=\frac{-b±\sqrt{b^{2} +4ac} }{2a}\)

Ignore the A before the ±, it wouldn't let me type it correctly.

6x² + 7x - 5 = 0

a = 6

b = 7

c = - 7

\(x=\frac{-(7)±\sqrt{7^{2} +4((6)(-5))} }{2(6)}\)

\(x=\frac{-(7)±\sqrt{49 +4((6)(-5))} }{2(6)}\)

\(x=\frac{-(7)±\sqrt{49 +120} }{2(6)}\)

\(x=\frac{-7±\sqrt{169} }{12}\)

\(x=\frac{-7±13 }{12}\)

Two separate equations

\(x=\frac{-7+13 }{12}\)

\(x=\frac{-7-13 }{12}\)

________________________

\(x=\frac{-7+13 }{12}\)

\(x=\frac{6 }{12}\)

\(x=\frac{1}{2}\)

\(x=\frac{-7-13 }{12}\)

\(x=\frac{-20 }{12}\)

\(x=-1\frac{2}{3}\)

Answer:

1. Neither would yield the lower tax.

2. (not sure yet about how much)

3. and there is not really a marriage penalty.

Answer:

\(x\geq 15\)

Step-by-step explanation:

Samuel wants at least 15 grams

Let's expand on "at least 15"

It means that Samuel wants no less than 15, but 15 or more

It could be 16, but not 14

To create an inequality, 15 or more can be written as \(x\geq 15\) (x is 15 more more)

The answer is \(x\geq 15\)

Hope this helps :)

Have a nice day!

The angular velocity of the circle is approximately 19 m/s.

In order to find the missing quantity, we can use the relationship between linear velocity and angular velocity in a circle. The linear velocity of a point on the edge of a circle is the product of the radius and the angular velocity. This can be expressed as:

v = r * w

where v is the linear velocity, r is the radius, and w is the angular velocity.

To find the value of w, we can rearrange this equation to solve for w:

w = v / r

Substituting the given values of v and r, we get:

w = 1235 m/min / 65 m

w = 19 m/s

It's important to note that units must be consistent when using formulas to solve problems. In this case, we converted the given linear velocity from m/min to m/s before plugging it into the formula. Also, we rounded the answer to the nearest tenth, as instructed, since the given values were rounded to the nearest unit.

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If Jose has done 100 more science experiments than Gabby and the number of science experiments done by Gabby is x, an expression representing Jose's experiments is 100 + x.

Mathematically, an expression is the combination of variables, constants, values, and numbers using mathematical operands but without an equal symbol (=).

The basic mathematical operands include addition (+), subtraction (-), division (÷), and multiplication (×).

Let the number of science experiments performed by Gabby = x

The number of science experiments performed by Jose = x + 100

x + 100

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Answer: linear pair

Step-by-step explanation:

Because ce is shown to be bisected by line n, then the two expressions are added and will equal 180°. This is what is called a linear pair.

The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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Answer:

40 Rs per kg.

Step-by-step explanation:

solution

Let the rate of tea be x Rs per kg and that of sugar be y Rs per kg.

When Kantabai bought the items by going to the shop,

3/2x+5y+50=700

⇒3x+10y=1300....(I)

When Kantabai bought the items online then

2x+7y=880......(II)

Multiplying (I) with 2 and (II) with 3 we get

6x+20y=2600......(III)

6x+21y=2640.......(IV)

eq.(IV)−(III)

y=40

Putting the value of y =40 in (II)

2x+7(40)=880

⇒2x=880−280=600

⇒x=300

Thus, tea is at 300 Rs per kg and sugar is 40 Rs per kg.

Answer:

3/14

Step-by-step explanation:

1 1/4 can be written as 5/4

5 5/6 can be written as 35/6

so divide (5/4)/(35/6)

= (5/4)*(6/35)

=(1/4)*(6/7)

=6/28

simplified = 3/14

Answer:

30 and 9

Step-by-step explanation:

x+y=39 , x-y=21

Solve for x:

x+y=39 , x-y=21

x= 30

Substitute x with 30:

(30)+y=39 , (30)-y=21

Solve for y:

y=9

Answer:

30 and 9

Eeexplination;

1 yard = 3 feet

3ft * 2 yards = 6 feet

$1.26 / 6ft = $0.21 / ft

Answer:

D. add all the y values to get 696 and then add all the x values and get 11.6 divide 696 by 11.6 and you get 60. You get the y-values by multiplying 60 by the x value, so D is the correct answer

Step-by-step explanation:

To solve the problem, define the system of equation and solve it.

The first step to do it is to find the equation of the line drawn. Find the slope using the given points (-2,0) and (2,2).

Use one of the points (-2,0) and the slope to find the equation of the line using the point slope formula:

Once found the equation of the line drawn, it is not even necessary to solve the system to answer the problem.

As both equations have the same slope, they are parallel lines, which means they will not intercept each other at any point. In other words, the system does not have a solution.

The correct answer is C. There is no solution.

The complete solution for every value of t is:

\(a \times b(t) =\) 0, for t < 1

2(e^(-t/2) - e^(-1/2)), for 1 ≤ t < 2

2(e^(-1/2) - 1), for t ≥ 2

To compute the convolution between the given functions, a(t) = e^(-t/2)u(t-1) and b(t) = rect(t-1), we can use the formula for convolution:

\(a \times b(t)\) = ∫[0 to t] a(τ)b(t-τ) dτ

First, let's break down the problem step by step:

Determine the limits of integration: Since both functions have a support starting from t = 1, the limits of integration will be from 1 to t.

Rewrite the functions within the limits of integration:

a(τ) = e^(-τ/2)u(τ-1)

b(t-τ) = rect(t-τ-1)

Apply the convolution formula:

\(a \times b(t) = \int[1 to t]\) e^(-τ/2)u(τ-1)rect(t-τ-1) dτ

Now, let's evaluate the integral for different intervals of t:

For t < 1:

The convolution will be 0 since both functions have a support starting from t = 1.

For 1 ≤ t < 2:

The integral can be simplified as:

\(a \times b(t)\) = ∫[1 to t] e^(-τ/2)rect(t-τ-1) dτ

= ∫[1 to t] e^(-τ/2) dτ

= 2(e^(-t/2) - e^(-1/2))

For t ≥ 2:

The integral can be simplified as:

\(a \times b(t)\) = ∫[1 to 2] e^(-τ/2)rect(t-τ-1) dτ + ∫[2 to t] e^(-τ/2)rect(t-τ-1) dτ

= ∫[1 to 2] e^(-τ/2) dτ + 0

= 2(e^(-1/2) - 1)

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Step-by-step explanation:

as we have a point and the slope, we can start with the point-slope form and then transform.

the point-slope form is

y - y1 = a(x - x1)

(x1, y1) being a point on the line, a being the slope.

the slope-interceot form is

y = ax + b

a being the slope again, b being the y-intercept (the y value for x = 0).

so, we have

y - -5 = 5/2 × (x - -4)

y + 5 = 5/2 × (x + 4) = 5x/2 + 5×4/2 = 5x/2 + 10

y = 5x/2 + 5

or

y = (5/2)x + 5

and this is already the slope-intercept form. all done.

Answer:

b

Step-by-step explanation:

Answer:

D.) y >= -2

Step-by-step explanation:

B is wrong; x > 0

C is wrong; y values are greater than or equal -2

Answer:

\(\huge\boxed{\sqrt[3]{64}=4}\)

Step-by-step explanation:

We know:

\(\sqrt{a}=b\iff b^2=a\qquad\text{for}\ a\geq0\\\\\sqrt[3]{a}=b\iff b^3=a\)

We have:

\(\sqrt[3]{64}=4\ \text{because}\ 4^3=4\cdot4\cdot4=64\)

The margin of error for the confidence interval for the population proportion with a 95% confidence level is 0.000207

finding the percentage of 65 of 330 individuals

65 / 330 * 100 = 19.697% = 0.19697

number of samples, n = 330

standard deviation, σ   is calculated from

= √{(p(1 - p)) / n}

= √{(0.197 * (1 - 19.7)) / 330}

= √{(0.197 * (0.803)) / 330}

= 0.022

Margin of error, E

= Z(0.95) * σ/√(n)

= 0.171 * 0.022/√(330)

= 0.171 * √(0.022²/330)

= 0.000207

= 0.021%

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Applying the inscribed angle theorem, the measure of the indicated arcs and angles are:

22. m∠CAB = 45°

23. Measure of arc DC = 120°

24. Measure of arc QR = 88°

25. m∠NWY = 46°

The Inscribed Angle Theorem states that if an angle is inscribed in a circle (that is, if the angle's vertex is on the circle and its sides are chords of the circle), then the measure of the inscribed angle is half the measure of the measure of its intercepted arc.

Also, the measure of two inscribed angles that intercepts the same arc, have equal angle measure.

22. m∠CAB = 1/2(90)

m∠CAB = 45°

23. Measure of arc DC = 2(measure of inscribed angle DBC)

Measure of arc DC = 2(60)

Measure of arc DC = 120°

24. Measure of arc AS = 2(46) = 92°

Measure of arc QR = 180 - 92 = 88°

25. Measure of arc NT = 180 - 88 = 92°

m∠NWY = 1/2(92) = 46°

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(B) Bar graph method of displaying the data could be used to display the data produced from that question.

Therefore, (B) bar graph method of displaying the data could be used to display the data produced from that question.

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The correct answer is given below:

300 people were asked the following question: How many times have you accessed the internet this week?

- none

- once or twice

- three or four times

- more than four times

Which method of displaying the data could be used to display the data produced from that question?

(a) Time Plot

(b) Bar graph

(c) Stemplot

(d) Histogram