What is the opposite of the opposite of 945?

Answer:

y = 3x - 4

Step-by-step explanation:

a line parallel to another will have the same slope, just a different y-intercept or b-value. Using this, we suggest the equation of the question [tex]y = 3x + b\\[/tex], as we can solve for b. The point (4,8) was given, which means that an input of 4 as x returns 8 as y. Thus, [tex]8 = 3(4) + b[/tex]. Solving this gains b = -4

Answer:

20/4

Step-by-step explanation:

5 = x/4

mulitply both sides by 4

x = 20

so the fraction is 20/4

Answer:

Step-by-step explanation:

For quadratic ax²+bx+c, the axis of symmetry is x=-b/(2a). For your quadratic with a=-5, b=3, the axis of symmetry is ...

  x = -(3)/(2(-5))

  x = 3/10 . . . . axis of symmetry

__

The coordinates of the vertex are found by evaluating the function at x=3/10.

  f(3/10) = (-5(3/10) +3)(3/10) +2 = 1.5(3/10) +2 = 0.45 +2 = 2.45

The vertex is (0.3, 2.45).

Answer:

9

Step-by-step explanation:

1.2x4 =8

2.8+1=9

hope this helped

The probability that it takes Hugo less than 5 minutes is 25%.

Given that the amount of time it takes Hugo to solve a Rubik's cube is continuous and uniformly distributed between 4 minutes and 11 minutes, to determine what is the probability that it takes Hugo less than 5 minutes given that it takes less than 6 minutes for him to solve a Rubik's cube, the following calculation must be performed:

Therefore, the probability that it takes Hugo less than 5 minutes is 25%.

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Answer:

the first answer

Step-by-step explanation:

I looked at it

Subtraction is a mathematical operation that reflects the removal of things from a collection. The yards of ribbon that were bought by Jina is 11 yard.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given that Prepaid credit card amount = $15

Also, She bought some bulk ribbon at a craft store and the price of ribbon was 21 cents per yard.

If after that purchase there was $12.69 left on the card.

Now, we can write the following details,

The amount on the credit card = $15

The amount spend on buying the ribbon = $0.21 cents per yard

The amount left on the credit card = $12.69

Further, we can write,

The amount that was used to buy the ribbon

= $15 - $12.69

= $2.31

Now, the length of the ribbon bought by Jina is,

Length of ribbon =  $2.31 / $0.21 per yard = 11 yards

Hence, the yards of ribbon that were bought by Jina is 11 yard.

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Answer:

X = 1.378797

Step-by-step explanation:

However, the following root(s) were found by numerical methods.

X = 1.378797

The value of sin2 Θ is in the 4th quadrant is -24/25

Explanation:

Given the expression of cosΘ= 3/5 with Θ in quadrant 4;

According to SOH, CAH TOA;

cosΘ= adjacent/hypotenuse

Get the opposite

5² = opp² + 3²

opp²  = 25 - 9

opp² = 16

opp = 4

SinΘ = opp/hyp

SinΘ = 4/5

Sin2Θ = 2sinΘ cosΘ

Sin2Θ = 2(-4/5)(3/5)

Sin2Θ = -24/25

Hence the value of sin2Θ is in the 4th quadrant is -24/25

Answer:

The value of the angles are 38° and 52° respectively

Let the acute angles be represented by a and b.

Based in the information given,

a = 2(b - 12)

a = 2b - 24.

Note that the angle in an acute angle equals to 90°.

Therefore,

a = 90 - b.

a = 2b - 24

Equate the equations together

90 - b = 2b - 24

2b + b = 90 + 24

3b = 114

b = 114/3

b = 38

Therefore, a will be:

= 90° - 38° = 52°

The value of the angles are 38° and 52° respectively.

Step-by-step explanation:

Answer:

38 52

Step-by-step explanation:

Answer:

23-15.4= 7.6.

Step-by-step explanation:

All you have to do is subtract

Answer:

area of ΔABC = 48 cm²

Step-by-step explanation:

We have been provided with height of 6 cm and have to find base.

using Pythagoras theorem:

a² + b² = c²

a² + 6² = 10²

a² = 100 -36

a² = 64

a = √64

a = 8

Area of both triangles:

[tex]\frac{1}{2}[/tex] * base * height

[tex]\frac{1}{2}[/tex] * 8 * 6

24 cm²

area of both triangles: 24 cm² * 2 = 48 cm²

Apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow AN^2=10^2-6^2[/tex]

[tex]\\ \tt\hookrightarrow AN^2=8^2[/tex]

[tex]\\ \tt\hookrightarrow AN=8cm[/tex]

Area

[tex]\\ \tt\hookrightarrow \dfrac{1}{2}bh[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{1}{2}(16)(10)=8(10)=80cm^2[/tex]

Required area:-80/2=40cm^2

Answer:

13, 17, 19

Step-by-step explanation:

Go through (12-20) and find the multipliers for each number.

13 = 13 x 1

14 = 7 x 2 , 14 x1 = no

15 = 5 x 3, 15 x 1 = no

17 = 17 x 1

18 = 6 x 3, 9 x 2, 18 x 1 = no

19 = 19 x 1

Answer:

-3<x<-2

Step-by-step explanation:

In the graph you can see that from x=-3 to x=-2, the graph is below the x axis, meaning that it is below zero. none of the other options are below zero at their respective ranges, so that's your answer

Answer:

Let the dryer cost x.

Then, the washer costs (x+87)

Together, they cost (x) + (x+87) = 787

2x+87 = 787

2x = 700 [subtract 97 from both sides]

x = 350 [divide both sides by 2]

The dryer cost $350.

Check: The washer cost $437. Together, they cost $787 [good to check, right?]

Step-by-step explanation:

hope it's help!!!

The product of numbers is calculated by multiplying them

The result of the product is 6/48

The product is given as:

3/8 x 2/6

Rewrite properly as:

[tex]\frac 38 * \frac 26[/tex]

Using the model, we have:

[tex]\frac 38 * \frac 26 = 3 * \frac 18 * 2 * \frac 16[/tex]

Rewrite as:

[tex]\frac 38 * \frac 26 = 3* 2 * \frac 18 * \frac 16[/tex]

Multiply the integers

[tex]\frac 38 * \frac 26 = 6 * \frac 18 * \frac 16[/tex]

Multiply the fractions

[tex]\frac 38 * \frac 26 = 6 * \frac 1{48}[/tex]

Multiply the integers and the fractions

[tex]\frac 38 * \frac 26 = \frac 6{48}[/tex]

Hence, the result of the product is 6/48

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Answer:

6/48

Step-by-step explanation:

duhh

Answer:

3

Step-by-step explanation:

Answer:

[tex]\frac{25}{6} = 4.16[/tex]

[tex]\frac{-14}{12}=-1.16[/tex]

4.16 + (-1.16)

= 3

Answer:

y = -1x+2

Step-by-step explanation:

(1,1)(7,-5)

y2-y1/x2-x1 = slope

-5-1/7-1 = -6/6= -1

y-y1 = slope(x-x1) // equation formula

y-1=-1(x-1)

y = -1x + 1 +1

y = -1x+2

Using the it's concept, it is found that the theoretical probability of selecting a tree or frog stamp is of 0.2 = 20%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

A theoretical probability is calculated before experiments.

In this problem:

Hence:

[tex]p = \frac{2}{10} = 0.2[/tex]

The theoretical probability of selecting a tree or frog stamp is of 0.2 = 20%.

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Answer:

y = 6.20 + 12.4(x - pi/4)

Step-by-step explanation:

dy/dx = 2e^x secx + 2e^x secx * tanx= 2e^x secx (1 + tanx)

At x = pi/4, use sec(pi/4) = [tex]\sqrt{2}[/tex]. tan(pi/4) =1

so dy/dx = 2e^(pi/4) * [tex]\sqrt{2}[/tex] * (1 + 1) = [tex]4 \sqrt{2} e^{\pi/4}[/tex] ≈ 12.4 (This is the slope of the tangent line)

When x = pi/4, y =  2e^(pi/4) * [tex]\sqrt{2}[/tex]  = [tex]2 \sqrt{2} e^{\pi/4}[/tex]= 6.20

Then the equation of the tangent line is

y = 6.20 + 12.4(x - pi/4)

Using the z-distribution, as we have the standard deviation for the population, we have that the correct option is:

The p-value is of 0.0772. Fail to reject the null hypothesis that there is no difference in the GPA's.

At the null hypothesis, we test if there is no difference in the means, that is:

[tex]H_0: \mu_T - \mu_H = 0[/tex]

At the alternative hypothesis, we test if there is a difference, that is:

[tex]H_1: \mu_T - \mu_H \neq 0[/tex]

For each sample, we have that:

[tex]\mu_T = 3.22, s_T = \frac{0.002}{\sqrt{50}} = 0.00028284271[/tex]

[tex]\mu_H = 3.24, s_H = \frac{0.08}{\sqrt{50}} = 0.01131370849[/tex]

Hence:

[tex]\overline{x} = \mu_T - \mu_H = 3.22 - 3.24 = -0.02[/tex]

[tex]s = \sqrt{s_T^2 + s_H^2} = \sqrt{0.00028284271^2 + 0.01131370849^2} = 0.0113[/tex]

It is given by:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis, hence:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

[tex]z = \frac{0.02 - 0}{0.0113}[/tex]

[tex]z = -1.77[/tex]

Using a z-distribution calculator, considering a two-tailed test, as we are testing if the mean is different of a value, with z = -1.77, it is found that the p-value is of 0.0772.

Since the p-value is greater than the significance level of 0.05, the correct option is:

The p-value is of 0.0772. Fail to reject the null hypothesis that there is no difference in the GPA's.

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Answer:

The P-value is 0.0772. Fail to reject the null hypothesis that there is no difference in the GPAs.

Answer:

D. x = 1.7 or x = 5.7

Step-by-step explanation:

The left side of the equation is graphed in blue. The right side of the equation is graphed in red.

The solution of the equation is the x (and y) that make both equations true.

On the graph these solutions are the points where the two graphs intersect.

Those two points have x values that are positive (and y's that are negative) Only answer D. has x-values that correspond to the x-values of the points of intersection.

Answer:

Step-by-step explanation:

The solution is the x-coordinate of the intersection of the graphs (blue line and red curve).

The points are:

Correct choice is D

Answer

0.89347

.................

Answer:

15

what is 1/3 it's 3 right so $45 is going to be divided by 3 so 45÷3 which is equals to 15

Answer:

The angle is 59 degrees.

Step-by-step explanation:

A triangle's angles, in total, must equal 180 degrees.

71 + 50 + (6x-1) = 180

71 +50 = 121

121 + (6x-1) = 180

6x - 1 = 59

The dimensions that would maximize the area enclosed by the fence is 30m × 60m.

where

l = length

w = width

Therefore,

The corral uses the side of a barn as one of its sides, so the fencing is required on three sides of the rectangular region. Therefore,

perimeter = L + 2w

L + 2w = 120

L = 120 - 2w

area = Lw

area = (120 - 2w)w

area = 120w - 2w²

area = -2w² + 120w

We have a quadratic equation and it is parabolic.  The leading coefficient is negative. Therefore, the parabola opens downward and the vertex is the maximum point.

The area is maximized at the vertex. Therefore,

To find the vertex, we need to have our quadratic equation in general form,

ax² + bx + c = 0

so a = -2, b = 120

w = -b / 2a

w = - 120 / 2 × -2

w = -120 / -4

w = 30

Therefore,

area = -2(30)² + 120(30)

area = 1800m²

Therefore, the maximum area we can enclose is 1800 m², the width is 30m, then the length will be 60 m because 60 × 30 = 1800 m².

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Answer:

The answer is 5.80 cm high