which of the following values are solutions to the ineuality x-7<5

Answer:

13

Step-by-step explanation:

Computers=6

Printers=7

Now,

=6+7

=13

Answer:

x = 10

Step-by-step explanation:

Let's draw the center of the circle S and the segments SE and SD.

SE is perpendicular to EF (as EF is tangent to circle).

That means FED + DES = 90deg

We also know that DSE = 120deg

And because the SED is an isosceles triangle, we know that angle measures for DES and SDE are equal.

DES = (180deg - 120deg) / 2 = 30deg

FED = 90deg - DES = 90deg - 30deg = 60deg

7x - 10 = 60

7x = 70

x = 10

First take note of the domain of f(x) ; the square root term is defined as long as x - x ² ≥ 0, or 0 ≤ x ≤ 1.

Check the value of f(x) at these endpoints:

f (0) = 0

f (1) = 0

Take the derivative of f(x) :

[tex]f(x)=8x\sqrt{x-x^2}=8x\left(x-x^2\right)^{\frac12}[/tex]

[tex]\implies f'(x)=8\left(x-x^2\right)^{\frac12}+4x\left(x-x^2\right)^{-\frac12}(1-2x)=4\left(x-x^2\right)^{-\frac12}\left(2\left(x-x^2)\right)+x(1-2x)\right)=\dfrac{4(3x-4x^2)}{\sqrt{x-x^2}}[/tex]

For x ≠ 0, we can eliminate the √x term in the denominator:

[tex]x\neq0\implies f'(x)=\dfrac{4\sqrt x (3-4x)}{\sqrt{1-x}}[/tex]

f(x) has critical points where f '(x) is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of f(x). Check where f '(x) = 0 :

√x (3 - 4x) = 0

√x = 0   or   3 - 4x = 0

The first case gives x = 0, which we ignore. The second leaves us with x = 3/4, at which point we get a maximum of max{f(x) } = 3√3 / 2.

Answer:

The final cost of the pants is $ 12.

Step-by-step explanation:

Given that at a store that is closing the pants normally cost $ 60.00 but it is discounted 75%, and they are also taking an additional 20% off, to determine what is the final price for the pants, the following calculation must be performed:

100 - 20 = 80

(60 - (60 x 0.75)) x 0.80 = X

(60 - 45) x 0.80 = X

15 x 0.80 = X

12 = X

Thus, the final cost of the pants is $ 12.

Answer:

$105.00

Step-by-step explanation:

100 x 1.05 = $105.00

Answer:

with included tax : $150

Step-by-step explanation:

1. yes 4+16 = 20

2. yes 32 - 4 = 28

3. yes 4(10) = 40

4. no 24/6 = 4

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

1.yes

2.yes

3.yes

4.no

Answer:

Slope = 9

Step-by-step explanation:

(-7 , -2) ;  x₁ = -7  and  y₁ = -2

(-6 , 7) ;  x₂ = -6  and y₂ = 7

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]=\frac{7-[-2]}{-6-[-7]}\\\\=\frac{7+2}{-6+7}\\\\=\frac{9}{1}\\\\= 9[/tex]

Answer: x=-6

Step-by-step explanation:

Given

2x + 8 = -4

Subtract 8 on both sides

2x + 8 - 8 = -4 - 8

2x = -12

Divide 2 on both sides

2x / 2 = -12 / 2

x = -6

NOTE: I assume the questions "solve for c" actually means "solve for x"

Hope this helps!! :)

Please let me know if you have any questions

Answer:about 5.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2

area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]  (where r is the radius, NOT the diameter, easy to confuse)

the radius of the inner circle is 2.5. which  is half of the diameter of 5

inner circle = [tex]\pi[/tex]*(2.5)^2

inner circle =  19.6349...

outer circle = [tex]\pi[/tex]*(10^2)

outer circle = 314.1592...

the ratio is    19.6349... /  314.1592...  = 0.0625

0.0625 = 6.25%

= 6% ( rounded to nearest whole number )

Answer:

The lateral area will be "381 yd²". A further solution is provided below.

Step-by-step explanation:

The given values are:

Radius of cone,

r = 10 yd

Height of cone,

L = 12.1 yd

As we know,

The lateral surface area of cone is:

=  [tex]\pi r L[/tex]

On substituting the values, we get

=  [tex]\frac{22}{7}\times 10\times 12.1[/tex]

=  [tex]\frac{22}{7}\times 121[/tex]

=  [tex]380.28 \ yd^2[/tex]

0r,

=  [tex]381 \ yd^2[/tex]

Answer:

5/12

Step-by-step explanation:

Find common denominators. Note that what you multiply to the denominator, you must multiply to the numerator as well. The common denominator is 12:

(2/3) * (4/4) = (8/12)

(1/4) * (3/3) = (3/12)

Subtract:

(8/12) - (3/12) = (8 - 3)/12 = 5/12

5/12 is your answer.

~

Answer:

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Assume the probability that a given registered voter will vote in the presidential election is 61%.

This means that [tex]p = 0.61[/tex]

152 registed voters:

This means that [tex]n = 152[/tex]

Mean and Standard deviation:

[tex]\mu = E(X) = 152*0.61 = 92.72[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{152*0.61*0.39} = 6.01[/tex]

Probability that no less than 95 out of 152 registered voters will vote in the presidential election.

This is, using continuity correction, [tex]P(X \geq 95 - 0.5) = P(X \geq 94.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 94.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{94.5 - 92.72}{6.01}[/tex]

[tex]Z = 0.3[/tex]

[tex]Z = 0.3[/tex] has a pvalue of 0.6179

1 - 0.6179 = 0.3821

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

Answer:

75

90

15, i think ??

165

hope this helps !!!! :D

Step-by-step explanation:

Solution:

Here,

In triangle LKM,

6x+5x+x=180

12x=180

x=180/12

x=15

Now,

1.75

2.90

3.15

4.165

Answer:

120 feet is the answer

Answer:

3030.033 is another way to write the number

Answer:

1 1/14

you have to multiply by the reciprocal of the second fraction

Answer:

see explanation

Step-by-step explanation:

f(x + 2) is a horizontal translation of f(x) 2 units to the left

f(x - 2) is a horizontal translation of f(x) 2 units to the right

Given

f(x) = x³ , then

f(x + 2) = f(x + 2)³ is a horizontal translation of f(x) 2 units left

f(x - 2) = (x - 2)³ is a horizontal translation of f(x) 2 units right

Answer:

13

Step-by-step explanation:

substitute the five into the equation. :)

Answer:

what school you do

Step-by-step explanation:

what grade

4m - - - - >4x10=40m^2

6m - - - - >6x10=60m^2

Gravitational force = (gravity x mass1x mass2)/distance^2

6.0x10^-10 = (6.67x10^-11 x 9 x 9)/d^2

D = sqrt(6.0x10^-10/6.67x10^-11 x81)

D = 3.0 m

The answer is B.3.0 m

Answer:

B

Step-by-step explanation:

3.0 m

Answer:

24.58%

Step-by-step explanation:

Given that,

Initial cost = $240

Final cost = $299

We need to find the percentage in his profit of the cost price.

Profit = Final cost - Initial cost

= $299 - $240

= $59

Percentage,

[tex]\%=\dfrac{59}{240}\times100\\\\=24.58\%[/tex]

So, the required percentage is equal to 24.58%.