What is the simplest form of (5x+2)(5x-2)

Answer:

x=-2 you just put the equation on the computer

The function t(x) = (x-4)² + 3 is a quadratic function.

A quadratic function has a leading exponent of 2

This means that the highest power of a quadratic function is 2

From the list of given options, the function t(x) = (x-4)² + 3 has a leading exponent of 2

Hence, the function t(x) = (x-4)² + 3 is a quadratic function.

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Answer:

23°

Step-by-step explanation:

Let the measure of the required angle be [tex]\theta[/tex]

[tex] \implies \: \theta = { \cos}^{ - 1} \: \bigg(\frac{35}{38} \bigg) \\ \\ \implies \: \theta =22.9195421516\\\\ \implies \: \theta =23\degree[/tex]

Answer:

I think you're being asked to identify the questions that are "statistical questions".

Step-by-step explanation:

so..

a). NO ( not a statistical question).

b). YES ( a statistical question).

c). NO ( not a statistical question).

d). NO ( not a statistical question).

e). YES ( a statistical question).

Hope this helps .

since 4% and 0.4% are in percentage already

then convert ¼ and 0.4 to percent

¼ to percent = ¼× 100

= 25%

0.4 to percent = 4/10 ×100

=40%

the smallest is 0.4%

Answer:

six teaspoons

Step-by-step explanation:

12 fish tanks, each 20 quarts

12x20=240 quarts in 12 tanks

we need to convert quarts to gallons

4 quarts equal one gallon, so

240/4=60 gallons in 12 tanks

60 gallons divided by every 10 gallons equal six teaspoons.

Answer:

[tex]\frac{4}{3}[/tex] miles

Step-by-step explanation:

Check the attachment.

Answer:

1/2 of (13miles) ×18

Step-by-step explanation:

Olivia Charles Reese

13miles (13miles) ×18 1/2 of(13×18)

234miles 117miles

Answer:

a=80° b=40°

Step-by-step explanation:

a=80 (vertically opposite angles )

a+b+90+150 = 360° ( angle sum property of quadrilateral )

80+b+90+150 = 360

b+ 320 = 360

b= 360-320

b=40°

The height of the triangle is 8root3 meters.

We have given that,

A tree breaks due to a storm and the broken part bends,

So that the top of the tree touches the ground making an angle of 60 degrees with the ground.

The distance between the feet of the tree to the point where the top touches the ground is 16m.

Let the Height of the Tree =AB+AD

and given that BD=8 m

Now, when it breaks a part of it will remain perpendicular to the ground (AB) and the remaining part (AD) will make an angle of 30 degrees.

Now, in △ABD

cos(30)=BD/AD=BD=root3AD/2

AD=2(8)/root3

also in the same triangle

[tex]tan(30)=AB/BD\implies 8/\sqrt{3}[/tex]

Height of the tree=AB+AD

[tex]=\frac{16}{\sqrt{3} }+\frac{8}{\sqrt{3} } }[/tex]

[tex]=\frac{24}{\sqrt{3} } \\=8\sqrt{3}m[/tex]

Therefore the height of the triangle is 8root3.

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Answer:

500 is the answer

Step-by-step explanation:

hope it helps....

Answer:

500 and 600

Step-by-step explanation:

Round 536 to the nearest hundred. 536 is between 500 and 600. Look at the 30 in the tens place. It is below 50, so round down to 500.

Answer:

12 more laps to go

Step-by-step explanation:

8 = 40 % of x

.40 x = 8

x  8 / .4 = 20

 he has already ridden 8, so 12 more to go

Answer:

option B is correct answer

Answer:

[tex]x=45 \sqrt{5}[/tex]

Step-by-step explanation:

[tex]2 \log_3x+\log_35=4\log_315[/tex]

[tex]\textsf{Apply power log law}\quad n\log_ab=\log_ab^n:[/tex]

[tex]\implies \log_3x^2+\log_35=\log_315^4[/tex]

[tex]\textsf{Apply product log law}\quad \log_ab+\log_ac=\log_abc:[/tex]

[tex]\implies \log_35x^2=\log_315^4[/tex]

[tex]\textsf{Apply equality log law}\quad \log_ab=\log_ac \implies b=c:[/tex]

[tex]\implies 5x^2=15^4[/tex]

[tex]\implies x^2=10125[/tex]

[tex]\implies x=\pm \sqrt{10125}[/tex]

[tex]\implies x=\pm \sqrt{2025 \cdot 5}[/tex]

[tex]\implies x=\pm \sqrt{2025} \sqrt{5}[/tex]

[tex]\implies x=\pm 45 \sqrt{5}[/tex]

As we cannot take logs of negative numbers,

[tex]\implies x=45 \sqrt{5}\quad \sf only[/tex]

Answer:

8 1/6

Step-by-step explanation:

4 1/2 + 3 2/3

convert to improper fractions

9/2 + 11/3

find lcm

27+22/6

49/6

convert back to mixed

8 1/6

Answer:

step by step

Step-by-step explanation:

12+12__12john

Answer:

here!

Step-by-step explanation:

Properties/Rules Exponents Logarithms

Product Rule xp.xq = xp+q loga(mn) = logam + logan

Quotient Rule xp/xq = xp-q loga(m/n) = logam – logan

Power Rule (xp)q = xpq logamn = n logam

:} Im sorry i dont know

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

Answer:

x=4

Step-by-step explanation:

y=68 and x=17

68/17=4

y=16 and x=?

16/4=4

x=4

Answer:

1,000,000,000

Step-by-step explanation:

Answer:

5.436564x^14905

The p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.

A hypothesis testing method is the Chi-square test. Two popular Chi-square tests involve comparing observed and expected frequencies in one or more categories.

The expected proportions are:

3/7, 3/7, 1/7 respectively

Test stasisttics = 0.978

Df = n -1 = 3 - 1 = 2

P-value = 0.622

Thus, the p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.

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Answer: 5/6

Step-by-step explanation: P(6) = 1/6 and P(not a 6) is 1 - P(6)

1-1/6 =5/6

Answer:

5x7=35

Step-by-step explanation:

A tenth of an inch of water container will be 35.

Step-by-step explanation:

We will see that the probability of x taking on a value between 75 to 90 is P = 0.5

We know that x is a continuous random variable uniformly distributed between 65 and 85.

This means that the probability that x value y in the range is such that:

1 = P(y)*(85 - 65) = P(y)*20

1/20 = P(y).

Now, the probability of x taking a value between 75 and 85 is:

P(75 to 85) = (1/20)*(85 - 75) = 10/20 = 0.5

And the probability between 85 and 90 is zero (because the maximum value that x can take is 85, so this part does not affect).

Then we conclude that the probability of x taking a value between 75 to 90 is:

P(75 to 90) = P(75 to 85) + P(85 to 90) = 0.5 + 0 = 0.5

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Answer:

A

Step-by-step explanation:

The denominator does not change....just add the numerators

(x-2)  - ( x^2-2x+6)

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

Answer:

y = 2

Step-by-step explanation:

Given table:

[tex]\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\\underline{| \ \ \text{x} \ \ | \ \ \text{y} \ \ | } \\ \underline{| \ \text{-6} \ \ | \ \text{-3} \ \ |} \\ | \underline{\ \text{-4} \ \ | \ \text{-2} \ \ | }\\ \underline{| \ \text{-2} \ \ | \ \text{-1} \ \ |} \\ \underline{| \ \ \text{0} \ \ | \ \ 0 \ \ |}[/tex]

To determine the value of y when "x" is 4, we need to determine the equation of the line that represents the table given. Then, we can substitute the value of "x" in the equation to determine the value of y.

Determining the equation of the line that represents the table:

Y-intercept:

Since the coordinate (0, 0) is included in the table, we can tell that the equation of the line that represents the table passes through the origin. Therefore, we can tell that the y-intercept is 0 as the y-intercept is the point on the line that intersects the y-axis.

Slope:

The slope of the line can be determined by picking any two points in the table and substituting the coordinates of the chosen points in the slope formula. Let our chosen points be (-6, -3) and (0, 0).

[tex]\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

[tex]\implies \text{Slope} = \dfrac{0 - (-3) }{0 - (-6) }[/tex]

[tex]\implies \text{Slope} = \dfrac{0 + 3 }{0 + 6 }[/tex]

[tex]\implies \text{Slope} = \dfrac{3}{6} = \dfrac{1}{2}[/tex]

Equation of line:

The equation of the line represented by the table in slope intercept form is y = mx + b, where "m" is the slope and "b" is the y-intercept.

Obtained slope and y-intercept:

⇒ y = (1/2)x + 0

⇒ y = x/2

Therefore, the equation of the line is y = x/2.

Determining the value of y when "x" is 4:

Obtained equation of line that represents the table:

Given value:

Therefore,

Thus, the value of "y" when "x" is 4 is 2.