Evaluate the algebraic expression for the given value(s) of the variable(s).

2x 2 - 7xy + 3y 2 ; x = -3, y = 4

Answer:

B

Step-by-step explanation:

The volume of a prism is the area of the cross section x length

The area of the cross section:

Area of a triangle = [tex]\frac{base * height}{2}[/tex]  so [tex]\frac{6*4}{2} = 12[/tex]

12 x 16 = 192 so B

Answer:

Step-by-step explanation:

Answer:

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.

This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).

the 1st, 2nd, and 3rd are correct

Answer:

x = -3

Step-by-step explanation:

Answer:

AB and CD are parallel lines.

hence answer is D

Good day mate

Answer:

Oct.

Step-by-step explanation:

average = (72 + 83 + 95 + 77 + 88)/5 = 83

Answer:

S = -4

Step-by-step explanation:

-8 minus -4 is basically -8-(-4) which converts to -8+4, and the result of that is -4.

Answer:

s-4+4=-8+4

s=-4

Step-by-step explanation:

x is equal to -4

Answer:

There is a picture attached in which the drawing of the triangle is present.

Options are

1. less than 92 meters

2. Exactly 92 meters

3. Between 92 and 1208 meters

4. greater than 1208 meters.

Step-by-step explanation:

Correct answer is

3. Between 92 and 1208 meters

Reason is 92 cannot be the answer because hypotenuse of a triangle can not be smaller than base and perpendicular as per Pythagoras theorem.

Also it cannot be greater than 1208 as can be proven by Pythagoras theorem.

Therefore the correct answer has to be between 92 and 1208 meters.

Answer:

b

Step-by-step explanation:

Answer:

f − 1 ( x ) = √ 2 ( x + 8 ) /2 , − √ 2 ( x + 8 ) /2

keep it under whole root  

Step-by-step explanation:

Answer:

1.833333333

Step-by-step explanation:

7⅓ ÷ 4

=¹¹/6

= 1.833333333

Given:

[tex]x=\log_{10}31,500[/tex]

To find:

Select the true statements from the given options about the given value.

Solution:

We have,

[tex]x=\log_{10}31,500[/tex]

It can be written as

[tex]x=\log_{10}(2^23^25^37)[/tex]

[tex]x=\log_{10}(2^2)+\log_{10}(3^2)+\log_{10}(5^3)+\log_{10}(7)[/tex]     [tex][\because \log(ab)=\log a+\log b][/tex]

[tex]x=2\log_{10}2+2\log_{10}3+3\log_{10}5+\log_{10}(7)[/tex]

[tex]x=2\left(0.30105\right)+2\left(0.47712\right)+3\left(0.69897\right)+0.8451[/tex]

[tex]x=4.49835[/tex]

Clearly, the value of x lies between 4 and 5. So, [tex]x>4[/tex] and [tex]x<5[/tex].

Therefore, the correct options are C and D.

The true statements are: (c) x > 4 and (d). x < 5

The logarithmic expression is given as:

[tex]x = \log_{10}(31500)[/tex]

Express 31500 as a product of 100

[tex]x = \log_{10}(315 * 100)[/tex]

Apply the law of logarithm

[tex]x = \log_{10}(315) + \log_{10}(100)[/tex]

Evaluate log 100 base 10

[tex]x = \log_{10}(315) + 2[/tex]

Evaluate log 315 base 10

[tex]x = 2.50 + 2[/tex]

Add the expressions

[tex]x \approx 4.50[/tex]

4.5 is greater than 4 and less than 5

Hence, the true statements are: (c) x > 4 and (d). x < 5

Read more about logarithms at:

https://brainly.com/question/25710806

Answer:

B = 145°

Explanation:

Sorry but m∠C > 90° how could it be 35° ?

However if you still need an answer:

B = 180 - C

B = 180 - 35

B = 145°

Step-by-step explanation:

MULTIPLY length x width x height

Answer:

8 units is the answer.

Step-by-step explanation:

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-9)^2 + (-7-1)^2}\\\\d=\sqrt{(0\\)^2+(-8)^2} \\\\d=\sqrt{64} \\\\d=8[/tex]

∴ d = 8 units

Answer:

24 units

Step-by-step explanation:

Original perimeter:

5+4+3=12

When each side length is doubled, the original perimeter is doubled.

12*2=24

Answer:

if the length of each side is is doubled then

5×2 = 10

4×2 = 8

3×2 = 6

perimeter of new figure = 10 + 8 + 6

= 24 units

hope this helps good day mate

Answer:

x = 92

hope this answer helps you......

The correct answer

x = 14

Pythagorean theorem

50=c

48=b

?=a

a=√(50²-48²)

a=14

14#

Answer:

x = 1 and y = -1

Step-by-step explanation:

Answer:

b) 40

Step-by-step explanation:

x + x + 100 = 180

2x + 100 = 180

2x = 80

x = 40

Answer:

3/4

Step-by-step explanation:

So remembering the length times width formula:

Put it in an equation-

(2x+1)(4x-3)

Now start to solve for x:

Multiply using 'foil' method:

(2x+1)(4x-3)

8x -6x + 4x -3

8x -2x -3

Now, factrorize 8x^2 - 2x - 3:    (Put a square since this is square measures)

8x^2 - 2x - 3   Sum = -2

                   Product = -24

                   Two numbers that give you the sum of -2 and product of -24:

                    -6 and 4

So now factor out like terms:

8x^2 -6x + 4x -3

2x(4x - 3) + 1(4x - 3)

(2x + 1) (4x-3) = 0

Solve for x in both:

2x + 1 = 0

x = -1/2

4x - 3 = 0

x = 3/4

The area cant be negative so the area in terms of x is:

x = 3/4

(Hope this helped)

Answer:

a.

Mean:70.2

Median:60

Mode:85

b.

The mode best supports her claim as it is the highest of the three.

c.

Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)

Step-by-step explanation:

a.

The mean is the sum of all the terms, divide by the amount of terms:

(85+85+60+62+59)/5=351/5=70.2

The median is the middle-most number in the set 85,85,60,62,59: 60

The mode is the most common number in the set 85,85,60,62,59: 85

b.

The mode best supports her claim as it is the highest of the three.

c.

Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)

Answer:

The graph shows the solution set of the equality √x < -1

(No Solutions)

Answer:

child's ticket =  4.75        adult ticket=10.75.

Step-by-step explanation:

The cost of an adult ticket is 6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is 40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

Therefore the cost of a child's ticket (c) is 4.75 and the cost of an adult ticket (c+6) is 10.75.

Answer:

The daily interest rate on this account = 0.000109

Step-by-step explanation:

Given that,

Interest rate = 4% compounded daily

i.e

Interest is 4% per annum and it is compounded daily.

Now,

We know , 1 year = 365 days

and 1 year interest rate = 4% = [tex]\frac{4}{100}[/tex] = 0.04

So,

The daily interest rate = [tex]\frac{0.04}{365}[/tex] = 0.000109

∴ we get

The daily interest rate on this account = 0.000109

Answer: you combine like terms to get 10x+9

Step-by-step explanation: 4+5+1 is 10 and 7+2 is 9.

Answer:

10x+9

Step-by-step explanation:

Answer:

Set up the area/circumference equations using x as the unknown variable. Then, solve for that variable and apply the correct unit.

Step-by-step explanation:

For example,

Find the side length of a square with an area of 49 square centimeters.

Since [tex]area=s^{2}[/tex], i can write [tex]49=s^2\\then take the square root of each side to solve for s.\\s=\sqrt{49} \\s=7 centimeters[/tex]