What the correct answer

Answer:

x = -4, 4

Step-by-step explanation:

Hi there!

[tex]x^2-16=0[/tex]

Rewrite 16:

[tex]x^2-4^2=0[/tex]

The difference of squares rule states that [tex]a^2-b^2=(a+b)(a-b)[/tex]. With this, apply the difference of squares to the equation:

[tex](x+4)(x-4)=0[/tex]

The zero-product property states that if the product of two numbers is 0, then one of the numbers must be equal to zero. Set each term equal to 0 and find the solutions:

[tex]x+4=0\\x=-4[/tex]

[tex]x-4=0\\x=4[/tex]

Therefore, the solutions are -4 and 4.

I hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

5.625

Step-by-step explanation:

You just have to multiply 1.5 by 3.75 which is 5.625.

So there are 5.625 grams of fat in 3.75 servings.

5.625 grams of fat are in 3.75 servings.

You just have to multiply 1.5 by 3.75 which is 5.625.

So there are 5.625 grams of fat in 3.75 servings.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Learn more about the unitary method here https://brainly.com/question/24587372

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Answer:

$315

Step-by-step explanation:

He earns $63 everyday, and then you just have to multiply that by 5 since he works 5 days in a week.

Answer:

0.05 metre

5×10^5 kilometer

1.9685

Answer:

450 foe

Step-by-step explanation:

Answer:

a = 12 and b = 18

Step-by-step explanation:

Given that,

8,a,b,27 are in geometric sequence.

For a GP, the nth term is given by :

[tex]a_n=ar^{n-1}[/tex]

Put n = 4

[tex]a_4=ar^{4-1}\\\\a_4=ar^3\\\\27=8\times r^3\\\\r^3=\dfrac{27}{8}\\\\r=\dfrac{3}{2}=1.5[/tex]

Put n = 2,

[tex]a_2=ar^{2-1}\\\\a=ar\\\\a=8\times 1.5\\\\a=12[/tex]

Put n = 3

[tex]a_3=ar^2\\\\=8\times 1.5^2\\\\b =18[/tex]

So, the values of a and b is 12 and 18 respectively.

Answer:

x = 11.85

Step-by-step explanation:

[tex]67 - 2x + \frac{89}{2} + 7 -8x = 0\\\\67 + \frac{89}{2}+7 = 8x + 2x\\\\\frac{134 + 89 +14}{2} = 10x\\\\10x = 118.5\\\\x = 11.85[/tex]

Answer:

[tex]x = 11 \frac{17}{20}[/tex] or [tex]\frac{237}{20}[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

15^2+x^2=22^2

225+x^2=484

x^2=259

x=16.09 feet

Step-by-step explanation: 15^2+x^2=22^2

225+x^2=484

x^2=259

x=16.09 feet

Answer: b= - -log10(7)+3/2

Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)

so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)

Simplify -2b= -log10(7)+3

Divide both sides by -2  -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!

Answer:

t = √ab²/fx

Step-by-step explanation:

fx= ab*2÷t*2, make t the subject of the formulae

​Given the function

fx = ab²/t²

We are to make t the subject of the formula

fxt² = ab²

t² = ab²/fx

Take the square root of both sides

√t² = √ab²/fx

t = √ab²/fx

Hence the required value of t is √ab²/fx

Answer:

Step-by-step explanation:

45-45-90 triangles always have the same relationships

leg = x,    hypotenuse = x√2

If you have the leg length multiply it by √2 to get the hypotenuse

hypotenuse = x,   Leg = x/√2

If you have the hypotenuse length divide it by √2 to get the leg

-----------------------

7)

leg  = 3√2 / 2

hyp =  3√2 / 2 *  √2 = 3

8)

leg = 5√2

hyp = 5√2 *√2 = 10

9)

hyp = 2

leg = 2 / √2 = √2

10)

leg = 13√2 / 2

hyp = 13√2 / 2 * √2  = 13

11)

leg = 3√3

hyp = 3√3 * √2 = 3√6

12)

leg = 12

hyp = 12√2

Answer:

The answer is "[tex]0.45 \pm 0.18204[/tex]"

Step-by-step explanation:

For the +4 sample proportion[tex]= \frac{(7+2)}{(16+4)} = \frac{9}{20} = 0.45[/tex]

Sample percentage measurements estimated stdev

[tex]= \sqrt{\frac{[(0.45)(1-0.45)]}{[(16+4)]}}\\\\ = \sqrt{\frac{[(0.45)(0.55)]}{[(20)]}}\\\\ = \sqrt{\frac{0.2475}{20}}\\\\= \sqrt{0.012375}\\\\=0.111[/tex]

Calculating the critical z for a=0.1, two-tailed = 1.64

Calculating the confidence interval:

[tex]= 0.45 \pm 0.111 \times 1.64 \\\\= 0.45 \pm 0.18204[/tex]

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

The lost percentage is 25%

The percentage remaining is 75%

Answer:

18.5 i believe

Step-by-step explanation:

sorry if im wrong, have a great day!!

Answer:

18o rotational symetry  

Step-by-step explanation:

24x⁶ and 18x⁴ —> 6x⁴

30x³y⁵ and 25 x²y —> 5x²y

Answer:

A.

[tex] {b}^{2} + 3b - 3 = 0[/tex]

Step-by-step explanation:

[tex] {b}^{2} + 3b - 3 = 0 \\ because \: \: {b}^{2} < 4ac \\ {b}^{2} = {3}^{2} = 9 \\ 4ac = 4 \times 1 \times - 3 = - 12 \\ hence : {b}^{2} < 4ac[/tex]

Answer:

299.64 ft

Step-by-step explanation:

The diagrammatic representation of the problem has been attached below :

Applying trigonometry :

We use the relation :

Tanθ = opposite / Adjacent

Tan 30 = 173 / d

0.5773502 = 173 / d

0.5773502d = 173

d = 173 / 0.5773502

d = 299.64 ft

Answer:

Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.

Step-by-step explanation:

Given that Anna bought 3 types of fruit for a fruit salad, and she paid three times as much for blueberries as for pears and $ 2.50 less for strawberries than for blueberries, if the total cost was $ 13.25, to determine how much did Anna spend on each type of fruit, the following calculation must be performed:

Pears: X

Blueberries: 3X

Strawberries: 3X - 2.5

X + 3X + 3X - 2.5 = 13.25

7X = 13.25 + 2.5

X = 15.75 / 7

X = 2.25

Pears: 2.25

Blueberries: 3 x 2.25 = 6.75

Strawberries: 3 x 2.25 - 2.50 = 6.75 - 2.50 = 4.25

2.25 + 6.75 + 4.25 = 13.25

Therefore, Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.

Answer:

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

They randomly survey 387 drivers and find that 298 claim to always buckle up.

This means that [tex]n = 387, \pi = \frac{298}{387} = 0.77[/tex]

84% confidence level

So [tex]\alpha = 0.16[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.16}{2} = 0.92[/tex], so [tex]Z = 1.405[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8[/tex]

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

Answer:

(-2 -3)

Step-by-step explanation:

_____________________

Answer:

[tex] \frac{1}{288} [/tex]

Step-by-step explanation:

the 1 will always stay the same because all of them are 1's

4×6=24

24×12=288

Answer:

garage bozo

Step-by-step explanation:

Answer:

[tex] \frac{(x - 2)(x + 2)}{x - 8} [/tex]

Answer:

(-6,18)

Step-by-step explanation:

3x + 2y = 18

2y= -3x + 18

y=-3/2 x + 18

give x=0

y=-3/2 *0+18

y=18#

y=18

3x+2(18)=18

3x+36=18

3x=18-36

3x=-18

x=-18/3

x=-6

9514 1404 393

Answer:

  (x -6)^2 +(y -6)^2 = 10

Step-by-step explanation:

To use the standard form equation for a circle, we need to know the center and the square of the radius. The center can be read from the graph as (6, 6). The square of the radius can be found using the distance formula.

  d^2 = (x2-x1)^2 +(y2-y1)^2

The radius is the distance between the two points shown, so we have ...

  d^2 = (7-6)^2 +(9-6)^2 = 1^2 +3^2 = 10

__

The equation of a circle centered at (h, k) with radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

For (h, k) = (6, 6) and r^2 = 10, the equation is ...

  (x -6)^2 +(y -6)^2 = 10

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expression.

5x−4x=3

Step 1: Simplify both sides of the equation.

5x−4x=3

5x+−4x=3

(5x+−4x)=3(Combine Like Terms)

x=3

x=3

Answer:

x=3

Answer:

[tex] \tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2} [/tex]