PLEASE HELP ASAP!!!
Find the values of the variables and round to the nearest hundredth if necessary.

Answer:

[tex]\sqrt{65}[/tex]

Step-by-step explanation:

Please see work attached.

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Answer:  [tex]\sqrt{65}[/tex]

Step-by-step explanation:

distance formula is [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1} )^{2}}[/tex]

take the 2points in the given (-4,-5) as ([tex](x_{1},y_{1} )[/tex]) and (3,-1) as [tex](x_{2},y_{2})[/tex]

and just substitute to get [tex]\sqrt{65}[/tex]

Answer:

11

Step-by-step explanation:

11^12 is the power

12 is the exponent

So 11 is the base

Answer:

B 11

Step-by-step explanation:

the base means the base number not the exponent, so 11

Answer: t=3.75

Step-by-step explanation:45=6t×2

6t=22.5

t=3.75

The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t².

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

Given the function,

f(t) = 6t² where t is time in seconds while f(t) is the distance in feet.

At f(t) = 54 feet

6t² = 54

t² = 54/6 = 9

t = 3 seconds

Hence "The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t²".

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Answer: 10 hours

Step-by-step explanation:

First and foremost, we should note that:

Speed = Distance / Time

Total destination = 610 miles

Loretta speed = 55 mph

Time to be used by Loretta = 4 hours

Loretta's distance = Speed × Time = 55 × 4 = 220 miles

The distance to be covered by her dad will then be:

= 610 - 220

= 390 miles

Her dad's average speed = 65 mph.

Time taken by her dad will be:

= 390 / 65

= 6 hours

The number of hours to be used by the family will then be:

Time taken by Loretta + Time taken by her dad

= 4 hours + 6 hours

= 10 hours

Step-by-step explanation:

43.5 miles per 1.25 gallons

= 34.8 miles per gallon.

Answer:

copper and illuminum

Step-by-step explanation:

i got it right on the test

Answer: the answer is b

Step-by-step explanation:

Answer:

Oh im doing my star 360 test rn too!

Step-by-step explanation:

Answer:

Xbox ONE

Step-by-step explanation:

(and Series X)

Answer:

Hours of work= 3.5

Step-by-step explanation:

Giving the following information:

Allowance= $5

Hourly pay= $7.5

Desired profit= $31

To calculate the number of hours to work, we need to use the following formula:

Hours of work= shoveling pay / hourly pay

Hours of work= (31 - 5)/7.5

Hours of work= 26/7.5

Hours of work= 3.5

Answer:

attached.

Step-by-step explanation:

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

you will have x+2 >1 and -(x+2) >1

remember when you divide by a negative, you switch the inequality sign. for the second expression, you switch from > to <

For the graph, shade in the areas where the red line is greater than 1 (the green line) on both sides of the V shape.

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Answer:

angle j = 98 degrees

angle c = 78 degrees

JK = 16

AD = 32

x=8

y=11

Step-by-step explanation:

Answer:

-1/2 is m and 3 is b

Step-by-step explanation:

-1/2 is the slope and 3 is the y-intercept,

Answer:

Step-by-step explanation:

The slope m is -1/2

The y-int b is 3

Since the slope is negative the graph should start from the top left and should go down all the way down to the bottom right. The line should also pass the point (0,3) since 3 is the y-int

Answer:

26.56 degrees

Step-by-step explanation:

The set up will give a right angles triangle

Given

The Horizontal distance = Adjacent side = 300ft

The height = Opposite side = 150ft

Using the SOH CAH TOA identity;

tan theta = opposite/adjacent

tan theta = 150/300

tan theta = 1/2

theta = arctan 1/2

theta = 26.56 degrees

Hence the angle of elevation is 26.56 degrees

Answer:

No

Step-by-step explanation:

Given that:

Total number of cups of trail mix available for camping trip = [tex]6\frac{1}{2}[/tex]

Amount of one serving contains = [tex]\frac{3}{4}[/tex] cups

Number of people at the trip = 12

To find:

Whether each person will be able to get the servings?

Solution:

Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.

First of all, let us convert the mixed fraction into fractional number.

[tex]6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}[/tex]

Therefore, total number of servings available as per the given quantities:

[tex]\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8[/tex]

So, With this type of servings Zoey will be able to serve only 8 people.

Therefore, there is not enough servings.

Answer:

x=3   y=-1

Step-by-step explanation:

Answer:

X=3 and

Y=-1

and good luck for your test

Answer:

125x=1000

=8 bags of sand

Step-by-step explanation:

Answer:

b = 6

Step-by-step explanation:

this is because you have to multiply by 3 on both sides then add 9 on both sides. then you get 6

Answer:

.

Step-by-step explanation:

Answer:

81 1/2

Step-by-step explanation:

We plug a and c in to get: 9^2+1/2

9^2=81 and 81+1/2 is 81 1/2

Answer:

b = 50 - 5m

Step-by-step explanation:

i think this is correct but i didnt put much thought into it

Answer:

(3a+4)(9a^2-12a+16)

Step-by-step explanation:

It's a perfect square :)

The factors of the given polynomial are (4+3a)(9a²-12a+16)

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations.

Given that, a polynomial, 64+27a³

Using identity : a³+b³ = (a+b)(a²-ab+b²)

We get,

= (4+3b)(4²-4x3a+(3a)²)

= (4+3a)(16-12a+9a²)

Hence, the factors of the given polynomial are (4+3a)(9a²-12a+16)

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Answer:

pipe will empty the tank in 10.5 hours, working alone.

Step-by-step explanation:

Let x be the rate of work of the slower pipe (measured in the tank volume per hour).

Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.

The combined rate of the two pipes is then  x + 2.5x = 3.5x.

We are given

7.5*3.5*x = 1;  hence   x = 1%2F%287.5%2A3.5%29.

Then  2.5x = 2.5%2F%287.5%2A3.5%29 = 1%2F%283%2A3.5%29 = 1%2F10.5.

It means that the faster pipe will empty the tank in 10.5 hours, working alone.

The faster pipe will empty the tank in 10.5 hours, working alone.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Let x be the rate of work of the slower pipe (measured in the tank volume per hour).

Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.

The combined rate of the two pipes is then  x + 2.5x = 3.5x.

We are given

7.5×3.5×x = 1

7.5×3.5 x=1

Divide both sides by 7.5×3.5

x=1/ 7.5×3.5

2.5x=2.5/ 7.5×3.5

x=1/10.5

It means that the faster pipe will empty the tank in 10.5 hours, working alone.

Hence, the faster pipe will empty the tank in 10.5 hours, working alone.

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Answer:

The equivalent expression is cosec2x

option B

Step-by-step explanation:

The correct question is ;

which expression is equivalent to sec2xcot2x?

Solution

Mathematically;

sec2x = 1/cos2x

cot2x = 1/tan2x

so we have

1/cos2x * 1/tan2x

recall that the product of tan and cos is sin

from the formula;

tan = sin/cos

so we have our final answer as;

1/sin2x

Kindly recall that ;

sin = 1/cosec

so therefore;

1/sin2x = csc2x

Answer: B 35/4

Step-by-step explanation:

Answer:

The coordinates of the image of vertex G are (-5, 4)

Step-by-step explanation:

Let us revise some cases of reflection

From the given figure

∵ The line of the reflection is y = x

→ That means we will switch the coordinates of the point to find its image

∵ The coordinates of vertex G are (4, -5)

∴ The x-coordinate = 4 and the y-coordinate = -5

→ Switch the two coordinates

∴ The coordinates of its image G' are (-5, 4)

∴ The coordinates of the image of vertex G are (-5, 4)

Answer:

time the number together

Step-by-step explanation:

Step-by-step explanation:

-X - 7 > -6

-7 > X - 6

X < -1

Hence the answer in set notation is (-∞, -1).

Answer:

x<-1

x€(-∞,-1)

Step-by-step explanation:

Yes she made mistake

Here's the correction

Answer:

Step-by-step explanation:

First we need to calculate the Total surface area of the cylindrical tank as shown;

TSA of the tank = 2πr² + 2πrh  

TSA of the tank = 2πr(r+ h)  where;

r is the radius of the tank

h is the height

Given

radius = 5.5ft

height = 16ft

Get the surface area;

TSA = 2π(5.5)(5.5+ 16)

TSA = 2π(5.5)(21.5)

TSA = 2π(118.25)

TSA = 2(3.14)(118.25)

TSA = 742.61ft²

If a gallon of paint will cover 130ft^2 of​ surface, then the total number of paint needed will be;

Total number of paint needed = 742.61/130

Total number of paint needed = 5.7

For one coat we will need 5.7gallons of paint

For two coats we will need 2 * 5.7gallons = 11.4

Hence approximately 11 gallons of paints will be needed for the two coats