If 6 + x + y = 20 and x + y = k, then 20 - k =

Answer: D. 0, pi/6, pi, 5pi/6, and 2pi

Step-by-step explanation:

Refer to screenshot of Desmos graph below

Question: What are all the exact solutions of [tex]2sin^2x-sinx=0[/tex] for [tex]0\leq x\leq 2\pi[/tex]?

Answer:

[tex] P=12000, r= 0.04, t=3[/tex]

And n=4 since the rate is compounded quarterly, so then replacing this info we got:

[tex] A = 12000 (1+ \frac{0.04}{4})^{4*3} = 13521.9[/tex]

So then Mario will have about $13521.9 after the 3 years with the rate of interest used.

Step-by-step explanation:

For this case we can use the formula for future value based on a compound interest given by:

[tex] A= P (1+ \frac{r}{n})^{nt}[/tex]

Where A represent the future value, P the present value or the inversion r is the rate of interest on fraction, n the number of times that the rate of interest is compounded in a year and t the number of years.

For this case we know this:

[tex] P=12000, r= 0.04, t=3[/tex]

And n=4 since the rate is compounded quarterly, so then replacing this info we got:

[tex] A = 12000 (1+ \frac{0.04}{4})^{4*3} = 13521.9[/tex]

So then Mario will have about $13521.9 after the 3 years with the rate of interest used.

Answer:

[tex]5cm ^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = \frac{5}{2} \times \frac{4}{1} \times \frac{1}{2} \\ = \frac{20}{4} \\ = 5 {cm}^{3} [/tex]

Answer:

Step-by-step explanation:

Given the equation model 4x+(-4) = -2x+8

To find the value of x, the following steps must be followed

[tex]4x+(-4) = -2x+8\\4x-4 = -2x+8\\subtracting\ 8\ from\ both\ sides\\4x-4-8=-2x+8-8\\4x-12=-2x\\4x+2x=12\\6x=12\\x=\frac{12}{6}\\ x = 2[/tex]

The value of x is 2

Question:

The model below represents 4x + (-4) = -2x + 8.

4 long green tiles and 4 square red tiles = 2 long red tiles and 8 square green tiles.

What is the value of x when solving the equation 4x + (-4) = -2x + 8 using the algebra tiles?

x = -4

x = -2

x = 2

x = 4

Answer:

x = 2

Step-by-step explanation:

Given

4x + (-4) = -2x + 8 which represents a model of coloured tiles of various lengths (shapes)

Required

Find x

To find x, we'll solve the expression 4x + (-4) = -2x + 8 using the knowledge of algebra.

4x + (-4) = -2x + 8

Open bracket

4x - 4 = -2x + 8

Collect like terms

4x + 2x = 4 + 8

Perform addition arithmetic operation on both sides of the equation

6x = 12

Multiply both sides by ⅙

⅙ * 6x = ⅙ * 12

x = 2

Hence, the value of x that satisfies the expression 4x + (-4) = -2x + 8 is 2

Answer:

one atom of that element

Step-by-step explanation:

For example, F1 means one atom of the element Fluorine

Answer:

Yes

Step-by-step explanation:

Using the distributive property...

9(3r-4) = (9*3r)-(9*4) = 27r-36

Answer:

QS=51

Step-by-step explanation:

It was given that RS = 19 and QR =32

QS=x

Q-R was measured and found to be 32

R-S was measured and found to be 19

Q-S will be the sum of Q-R and R-S which is 32+19= 51

QS=51

Answer:

51

Step-by-step explanation:

I took the test and it was correct :)

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let [tex]\mu[/tex] = population mean light bulb life.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 500 hours      {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 500 hours     {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                           T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean bulb life = 490 hours

           σ = population standard deviation = 50 hours

           n = sample of light bulbs = 100

So, the test statistics  =  [tex]\frac{490-500}{\frac{50}{\sqrt{100} } }[/tex]

                                     =  -2

The value of z test statistics is -2.

Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

Answer:

Rewrite in standard form to find the center (h,k) and radius r.

Center: (−1,−2)

Radius: √6

Rewrite in standard form to find the center (h,k) and radius r.

Center: (3/2,6)

Radius: 11/2

Rewrite in standard form to find the center (h,k) and radius r.

Center: (3,−7)

Radius: 8

Rewrite in standard form to find the center (h,k) and radius r.

Center: (0,10)

Radius: 9

Rewrite in standard form to find the center (h,k) and radius r.

Center: (−4,−4)

Radius: 4√2

Answer:

Base price: $13.

Surcharge: $2 per additional pound.

Step-by-step explanation:

The base price can be considered a constant, while the surcharge is a function of the additional weight of the package, over 1 pound.

Then, we can model this as a linear function, with additional weight as the independent variable.

[tex]f(x)=b+sx[/tex]

being b: base price, and s: surcharge for each additional pound.

The 7-pound package cost $25. The additional weigth in this case is 7-1=6 pounds.

The 22-pound package cost $55. The additional weigth is 21 pounds.

So we have the first point (6, 25):

[tex]f(6)=b+s(6)=25\\\\b=25-6s[/tex]

Then, for the second point (21, 55) we have:

[tex]b=25-6s\\\\f(21)=(25-6s)+s(21)=55\\\\25+(21-6)s=55\\\\15s=55-25=30\\\\s=30/15=2\\\\\\b=25-6(2)=25-12=13[/tex]

Then, the prices are:

Base price: $13.

Surcharge: $2 per additional pound.

Answer:

rational

Step-by-step explanation:

The correct statement is:

c. The other zero can be either rational or irrational.

A quadratic equation with integer coefficients can have two distinct zeros, and if one of the zeros is irrational, the other zero can be either rational or irrational.

The nature of the zeros depends on the specific values of the coefficients in the quadratic equation.

A quadratic equation with integer coefficients can be written in the form: [tex]ax^2 + bx + c = 0[/tex], where a, b, and c are integers.

The solutions to this equation can be found using the quadratic formula:

[tex]\mathrm x = \frac{\mathrm{-b}\pm \sqrt{\mathrm b^2-4\mathrm a \mathrm c} }{2 \mathrm a}[/tex]

If one zero is irrational, it means that one of the solutions obtained from the quadratic formula is an irrational number.

However, the other solution can still be either rational or irrational.

The discriminant, [tex]b^2 - 4ac[/tex], determines the nature of the solutions.

If the discriminant is a perfect square, both solutions will be rational.

If the discriminant is not a perfect square, one solution will be irrational, and the other may be either rational or irrational.

Therefore, it is possible for the other zero to be rational or irrational, depending on the specific values of a, b, and c in the quadratic equation.

Thus, option (c) is the correct answer.

Learn more about quadratic equation click;

https://brainly.com/question/30098550

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Complete question =

Consider a quadratic equation with integer coefficients and two distinct zeros. If one zero is irrational, which statement is true about the other zero?

a. The other zero must be rational.

b. The other zero must be irrational.

c. The other zero can be either rational or irrational.

d. The zero must be non-real.

Answer:

[tex] 75= 119 -1.96 \sigma[/tex]

[tex] \sigma = \frac{75-119}{-1.96}= 22.45[/tex]

And tha's equivalent to use this formula:

[tex] 163= 119 +1.96 \sigma[/tex]

[tex] \sigma = \frac{163-119}{1.96}= 22.45[/tex]

Step-by-step explanation:

For this case the 95%of the values are between the following two values:

(75 , 163)

And for this case we know that the variable of interest X "length of a movie" follows a normal distribution:

[tex] X \sim N( \mu, \sigma)[/tex]

We can estimate the true mean with the following formula:

[tex]\mu = \frac{75+163}{2}= 119[/tex]

Now we know that in the normal standard distribution we know that we have 95% of the values between 1.96 deviations from the mean. We can find the value of the deviation with this formula:

[tex] 75= 119 -1.96 \sigma[/tex]

[tex] \sigma = \frac{75-119}{-1.96}= 22.45[/tex]

And tha's equivalent to use this formula:

[tex] 163= 119 +1.96 \sigma[/tex]

[tex] \sigma = \frac{163-119}{1.96}= 22.45[/tex]

Answer:

33.6% of X = 26800

X = 26800 / 33.6%

   = 26800 / 0.336

  = 79762

Note the answer is rounded

Step-by-step explanation:

Answer:

option A is your answer in my opinion.

Sry i am not sure

Answer:

14000

Step-by-step explanation:

A year he contributes :10/100 × 80000= 8000

Then his employer pays 0.75 × 8000= 6000

The total money contributed to is

401k is = 8000 + 6000 = 14000

Answer:

5.5

Step-by-step explanation:

5x-2.5+6x-3=_____(2x-1)

11x-5.5=5.5(2x-1)

11x-5.5=11x-5.5

Answer:

5.5

Step-by-step explanation:

Answer:

(6+3)+5=(3x?)+5

9+5=(3×3)+5

14=9+5

14=14

so,the missing factor is 3.

Answer:

Quadratic formula is what I prefer

Answer:

Taking the square root

Step-by-step explanation:

x^2 + 8 = 72

x^2 = 64

take sqrt of 64

x = 8

Answer:

94%

Step-by-step explanation:

We need to look at the graph. Olive wants the probability that 20 or more of the 50 babies were female. Looking at the graph, the x-axis is "number of females born out of 50 babies". We want to find the sum of all the ones that are at least 20, or 20 and above.

The numbers above the bars represents how many of each case there are. Above the bar labelled 20, there is the number 11, and so on. So, our sum is:

11 + 17 + 14 + 23 + 16 + 29 + 16 + 23 + 14 + 6 + 9 + 3 + 1 + 2 + 1 + 1 + 1 = 187

In total, there are 200 cases, so our probability is 187 / 200 = 93.5% ≈ 94%.

The answer is thus A.

Step-by-step explanation:

Step 1:  Count up how many babies are more than 20

[tex]11 + 17 + 14 + 23+16+29+16+23+14+6+9+3+1+2+1+1+1[/tex]

[tex]187[/tex]

[tex]187 / 200[/tex] ← Will give us percentage of the probability that 20 or more of the 50 babies were born female.

0.935 * 100

93.5%

Answer:  Option A, 94%

Answer:

146

Step-by-step explanation:

j=3 13 = 39

g=5 13 = 65

a=4 13 = 42

Answer:

156 sweets

Step-by-step explanation:

3+4+5=12

12/12 x 39 x 12/3=156 sweets

Answer: 6.6

Step-by-step explanation:

We have two triangles. Find the hypothenuse of the first triangle to make it easier to solve the second triangle.

First triangle:

a = 6

b = 8

c = ?

Use pythagorean's theorem

[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]

[tex]c=\sqrt{(6)^2+(8)^2}\\ c=\sqrt{36+64}\\ c=\sqrt{100}\\ c=10[/tex]

This hypothenuse is valid for both triangles. Having said this, we already have 2 sides of the second triangle; c and a. We need to find b.

[tex]c^2=a^2+b^2\\b^2=c^2-a^2\\b=\sqrt{c^2-a^2}[/tex]

[tex]b=\sqrt{(12)^2-(10)^2}\\ b=\sqrt{144-100}\\ b=\sqrt{44}\\ b=6.6[/tex]

Answer:

[tex]\bar v = 60\,mph[/tex]

Step-by-step explanation:

The distance travelled by Lisa in the first four hours of her trip is:

[tex]\Delta s = \left(50\,mph)\cdot (4\,h)[/tex]

[tex]\Delta s = 200\,mi[/tex]

The distance remaining and her average speed are, respectively:

[tex]\Delta s_{R} = 440\,mi - 200\,mi[/tex]

[tex]\Delta s_{R} = 240\,mi[/tex]

[tex]\bar v = \frac{240\,mi}{4\,h}[/tex]

[tex]\bar v = 60\,mph[/tex]

3/5 are black. To rewrite the fraction with a denominator of 100. Find how many thieves the denominator 5 goes into 100:

100/5 = 20

Multiply both the numerator and denominator by 20:

3/5 = 60/100

Answer:

Become the leader of our nation.

Step-by-step explanation:

Like all Nazi propaganda, the 1936 poster suggests that young Germans are highly capable of becoming leaders of the nation. A young man who must be blond, with teeth and a perfect body. It was unconditional for Nazi propagandists to convince young people to support the goals and policies of the political party.

On the other hand, the leaders of the Nazi youths sought to integrate the children into the national Nazi community and prepare them to serve as soldiers in the armed forces or, later, in the SS.

Answer:

slope intercept form y = m x +C

                                [tex]y = \frac{4x}{3} -\frac{40}{3}[/tex]

Step-by-step explanation:

step(i):-

Given two points are A  (7,-4) and B(-1,2)

Slope of two lines formula

 [tex]m= \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{-1-7}{2-(-4)} =\frac{-8}{6} = \frac{4}{3}[/tex]

Step(ii):-

The equation of the straight line passing through the two points

                                      y-y₁ = m(x-x₁)

Let (x₁ , y₁) = (7,-4)

                                    y - (-4) =[tex]\frac{4}{3}[/tex] (x-7)

On cross multiplication , we get

                                    3(y+4) = 4(x-7)

                                    3 y +12 = 4 x -28

subtract '12' on both sides , we get

                                    3 y = 4 x -28 -12

                                     3 y = 4 x - 40

Dividing '3' on both sides, we get

Now slope intercept form y = m x +C

                                      [tex]y = \frac{4x}{3} -\frac{40}{3}[/tex]

Final answer:-

slope intercept form y = m x +C

                                [tex]y = \frac{4x}{3} -\frac{40}{3}[/tex]

Answer:

4025

Step-by-step explanation:

3500×0.15=525

3500+525= 4025

Answer:

4025

Step-by-step explanation:

Hope this helps

Answer:

2. x = 11

3. x = 19

4. x = 23

5. x = 6

6. x = 10

Step-by-step explanation:

2. x + 12 =23

x = 23 - 12

x = 11

3. x - 6 = 13

x = 13 + 6

x = 19

4. x - 9 = 14

x = 14 + 9

x = 23

5. 2x = 12

x = 12/2

x = 6

6. 3x = 30

x = 30/3

x = 10

Answer:

Step-by-step explanation:

The given fractions that we are comparing are expressed as mixed numbers. It means that each is made up of whole numbers and fractions. We would convert each mixed number to improper fraction. By converting to improper fraction, we would multiply the whole number by the denominator and add the product to the numerator. The fraction would be the ratio of the result to the denominator.

Considering 4 2/6, it becomes

(4 × 6) + 2) = 26/6

Considering 3 8/6, it becomes

(3 × 6) + 8)/6 = 26/6

Therefore, they are equivalent

Answer:

21/50

Step-by-step explanation:

Given that Jackson's sweets from last Halloween from last year was 42% chocolate, we can assume he had a total of 100 sweets.

Out of 100 sweets, 42 pieces are chocolate, so:

42/100

When simplifying this fraction into its simplest form, the most you can do is divide the numerator(top) and denominator(bottom) by 2.

Your result would be 21/50

Hope this helps!

Answer:

29 miles were used per gallon

Step-by-step explanation:

257 / 9 = 28.555..

We can round 28.555 to about 29.

So John got 29 miles per gallon.