Solve the following equation for the value of d.
4(-2d – 3) = 12
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1 point
Solve the following equations for the value of n.
60 = 6 (6 – 2n)
Type your answer...
1 point
Solve the following equations for the value of 2.
-2 (x + 10) + x = 12

Answer:

sqrt 169 is 13

sqrt 196 is 14

Step-by-step explanation:

The square root of the number in the fractional form [tex]\frac{169}{196}[/tex] is the number in fractional form [tex]\frac{13}{14}[/tex].

Given a number:

[tex]\frac{169}{196}[/tex]

It is required to find the square root of the number.

The square root of the fraction can be found by taking the square root of each component and dividing it.

That is:

[tex]\sqrt{\frac{x}{y} } =\frac{\sqrt{x} }{\sqrt{y} }[/tex]

Here, x = 169 and y = 196.

So, this can be written as:

[tex]\sqrt{\frac{169}{196} } =\frac{\sqrt{169} }{\sqrt{196} }[/tex]

         [tex]=\frac{13}{14}[/tex]

Hence, the fraction is [tex]\frac{13}{14}[/tex].

Learn more about Fractions here :

https://brainly.com/question/12466813

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Answer:

[tex]x\approx49.3266\textdegree[/tex]

Step-by-step explanation:

So we want to find Angle x.

Note that we already know the side length of the side opposite to Angle x.

We also know that the hypotenuse is 56.3.

Therefore, we can use the sine function. Recall that:

[tex]\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

The opposite side is 42.7. The hypotenuse is 56.3. Substitute:

[tex]\sin(x)=\frac{42.7}{56.3}[/tex]

Take the inverse sine of both sides.

[tex]\sin^{-1}(\sin(x))=\sin^{-1}(\frac{42.7}{56.3})[/tex]

The left side cancels:

[tex]x=\sin^{-1}(\frac{42.7}{56.3})[/tex]

Use a calculator. Thus:

[tex]x\approx49.3266\textdegree[/tex]

And that's our answer :)

Answer:

[tex]\Huge \boxed{\mathrm{49.33 \° }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trig functions to solve for the missing angle.

[tex]\displaystyle \mathrm{sin \theta =\frac{opposite}{hypotenuse} }[/tex]

The opposite side to angle x is 42.7.

The hypotenuse of the right triangle is 56.3.

[tex]\displaystyle \mathrm{sin} (x)=\frac{42.7}{56.3}[/tex]

Taking inverse sin of both sides.

[tex]\displaystyle x=\mathrm{sin^{-1}}( \frac{42.7}{56.3})[/tex]

[tex]x= 49.3265955[/tex]

The missing angle measures approximately 49.33°.

[tex]\rule[225]{225}{2}[/tex]

Answer:

2.4

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

Since 7.3 is negative then 9.7+-7.3 is equal

9.7 - 7.3=2.4

Answer:

The answer is 10.12

Step-by-step explanation:

You add both numbers together and then subtract the sum to the 40 dollars

Answer:

sjjxdhbddgcKHCaydkfuksjkgd

Step-by-step explanation:

k,huglzxukugdldlitgjgkdkhf

The image showing the dimensions of the truck in question is missing, so i have attached it.

Answer:

Max amount of cargo that can fit in new truck = 756.39 cu.ft

Step-by-step explanation:

From the diagram attached, we can see that the delivery truck is in the form of a cuboid.

So let's say we extend the perpendicular line from the start of the extra ledge that sticks out to the top of the truck.

This will mean that we have now divided the big truck into 2 different cuboids which we will call C1 and C2.

For C2, We can see that the height is 6' 6", width is 7' 8", length is 14' 3".

Converting the dimensions to inches, we know that, 1 ft = 12 inches

Thus;

6' 6" = (6 × 12) + 6 = 78"

7' 8" = (7 × 12) + 6 = 90"

14' 3" = (14 × 12) + 6 = 174"

Thus, volume of cuboid = Length x width x height

Thus, volume of cuboid 1 is;

V1 = 78 × 90 × 174 = 1221480 cu.inches

Looking at the smaller cuboid C1, the height is 2' 7" and the width remains 7' 8".

To get the length, we have; length = 16' 9" - 14' 3" = 2' 6"

So Converting these to inches gives;

7' 8" = (7 × 12) + 8 = 92"

2' 7" = (2 × 12) + 7 = 31"

2' 6" = (2 × 12) + 6 = 30"

Volume of cuboid 2 is;

V2 = 92 × 31 × 30 = 85560 cu.inches

Total volume = V1 + V2 = 1221480 + 85560 = 1307040 cu.inches

Now, converting cu.inches to cu.ft, we know that;

1 cu.inches = 1/1728 cu.ft

Thus;

1307040 cu.inches = 1307040 × 1/1728 = 756.39 cu.ft

5/6 = 0.83333... (Repeating)

2/11 = 0.181818... (Repeating)

17/20 = 0.85 (Terminating)

For the number system diagram, from smallest box to larges, it would be natural numbers, whole numbers, and integers, rational numbers, then real numbers. And irrational numbers off to the side, but considering you only have 3 boxes then put the first 3 I mentioned.

It is definetly possible for a number to be both whole and an integer. As long as it's not a fraction, decimal, or negative value.

Answer:

first divide 1000 by 100 and then multipy the result with 10

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

thats the answer pls give brainliest.

Answer: OPTION B

Step-by-step explanation:

Angle 25° is in the interior of two lines so we are actually finding the alternative interior angles.

Alternate angles are angles that on opposite sides that locate on opposite relative sides of the other lines.

The only three labeled angle that are interior. Angle 25°, Angle 2, and Angle 3.

Angle 25° and Angle 3 are on opposite sides, but they are on the same relative side of the other lines, which does not fit the alternate angle definition.

Angle 25° and Angle 2 are on opposite sides and on the opposite relative side of the other lines, so Angle 2 is the alternate to Angle 25°

Hope this helps!! :)

Please let me know if you have any question

Answer: E. 99

Step-by-step explanation:

A composite number has more than two factors which means not only including 1 and itself, but at least one other.

factor of 29: 1, 29

factor of 41: 1, 41

factor of 71: 1, 71

factor of 79: 1, 79

factor of 99: 1, 3, 9, 11, 33, 99

Clearly 99 has more than two factors.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

apple

Step-by-step explanation:

I did it before

Answer:

Density = 4779 grams per liter

Step-by-step explanation:

here we need to convert

pounds to gram

pint to liter

1 pound = 454 grams

1 pint = 0.57 liters

given

density = 6 pounds per pint

now using grams in place of pound and

liter in place of pint we have

density = 6 pounds per pint = 6*454 grams /0.57 liters

density = 2724 pounds/ 0.57 liters = 4778.94 grams / liters

Density when rounded to nearest whole number is 4779 grams / liters

Answer:

100 + x

Step-by-step explanation:

If Peter has an initial 100$, and his mom gives him an additional x$, then we can simply write the total amount in an expression using addition as such:

100 + x

So Peter now has 100 + x amount of dollars.

Cheers.

Answer:

[tex]\huge\boxed{\$(x+100)}[/tex]

Step-by-step explanation:

Peter has = $100

He has been given = $x more.

So, the expression becomes

=> $(100+x)

OR

=> $(x+100)

Answer:

i think the answer is a

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

8 differnt types of desserts

Step-by-step explanation:

4 each ice cream

Answer:

27/8 or 3 3/8, 3.375, (3/2)^3

Step-by-step explanation:

-9/4 divided by -2/3

9/4 divided by 2/3

9/2 x 3/2

Answer:

k =4/5

Step-by-step explanation:

[tex]k - 4.8=0.32 - 5.4k\\\mathrm{Multiply\:both\:sides\:by\:}100\\k\times\:100-4.8\times\:100=0.32\times\:100-5.4k\times\:100\\\\Refine\\100k-480=32-540k\\\\Add\: 480\mathrm{\:to\:both\:sides}\\100k-480+480=32-540k+480\\\\Simplify\\100k=-540k+512\\\\\mathrm{Add\:}540k\mathrm{\:to\:both\:sides}\\100k+540k=-540k+512+540k\\\\Simplify\\640k=512\\\\\mathrm{Divide\:both\:sides\:by\:}640\\\frac{640k}{640}=\frac{512}{640}\\\\k=\frac{4}{5}[/tex]

Answer:

15

Step-by-step explanation:

lets make an equation and solve it (its easier)

130=8x+10

130-10=8x

120=8x

x=120/8=15 hours

Answer:

When we have two vectors:

A = (a1, a2)

B = (b1, b2)

The distance between these two vectors is:

D = √( (a1 - b1)^2 + (a2 - b2)^2)

In this case, the vectors are:

U = (38, 22) and W = (55, 30)

The distance between U and W is:

D = √( (38 - 55)^2 + (22 - 30)^2 )

D = √( 289 + 64) = √353 = 18.7882

We want to round it to the nearest thousandths (the third digit to the right of the decimal point).

Then we must look at the next one (the fourth)

if the fourth digit is 5 or smaller, we round down

if the fourth digit is larger than 5, we round up.

We can see that in 18.7882 the fourth digit after the decimal point is a 2, so we round down, then the distance between U and W is:

D = 18.788

Now i guess that you want a line that connects U with W so the robot can follow it,

To find the line you can use a linear relation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

So we want a line that passes through the points U and W, the slope of this line will be:

a  = (30 - 22)/(55 - 38) = 0.47

Then the equation is:

y = 0.47*x + b

to find the value of b, we know that this line passes through the point (38,22) then:

y = 22 = 0.47*38 + b

b = 22 - 0.37*38 = 7.94

The line that can use the robot to go from U to W is:

y = 0.47*x + 7.94

Answer:-4

Step-by-step explanation:

-4 x -7 = 28

28-9=19

Answer:

x=-4

Step-by-step explanation:

We are given the equation:

-7x-9= 19

We want to solve for x. Therefore, we must isolate x on one side of the equation.

9 is being subtracted. The inverse of subtraction is addition. Add 9 to both sides of the equation.

-7x-9+9= 19+9

-7x= 28

x is being multiplied by -7. The inverse of multiplication is division. Divide -7 on both sides.

-7x/-7=28/-7

x= 28/-7

x= -4

Let’s check our solution. Plug -4 in for x and solve.

-7x-9=19

-7(-4)-9=19

28-9=19

19=19

This checks out, so we know our solution is correct.

The solution to the equation -7x-9=19 is x= -4

Answer:

[tex]\Large \boxed{h(g(f(x)))=-8x^2-40x-50}[/tex]

Step-by-step explanation:

[tex]f(x)=2x+5 \\\\ g(x)=x^2 \\\\h(x)=-2x[/tex]

[tex]h(g(f(x)))=-2((2x+5)^2)[/tex]

Expanding and solving for brackets.

[tex]h(g(f(x)))=-2(4x^2+20x+25)[/tex]

Distributing -2 to the terms in the brackets.

[tex]h(g(f(x)))=-8x^2-40x-50[/tex]

Answer:

-8x^2 - 40x - 50

Step-by-step explanation:

f(x) = 2x + 5

g(x) = x^2

h(x) = -2x

h(g(f(x))) =

First find g(f(x))

g(f(x)) = (2x+5) ^2 = 4x^2 + 10x + 10x +25

                            = 4x^2 + 20x + 25

The stick this in for g(f(x)

h(g(f(x))) = -2 (4x^2 + 20x + 25)

             = -8x^2 - 40x - 50

Answer:

6y =y+25

6y-y=25

5y=25

y=25/5

y=5

hope that helps: )

Answer:

y = 5

Step-by-step explanation:

[tex]6y=y+25[/tex]

Subtract y from both sides ;

[tex]6y-y=y+25-y[/tex]

Simplify ;

6y - y = 5y

y -y =0

[tex]5y=25[/tex]

Divide both sides by 5

[tex]\frac{5y}{5}=\frac{25}{5}[/tex]

Simplify

[tex]y =5[/tex]

For the integral

[tex]I=\displaystyle\int_1^3\frac{\mathrm dx}{x\sqrt{1-(\log x)^2}}[/tex]

(assuming [tex]\log x[/tex] is the natural logarithm with base [tex]e[/tex]) substitute [tex]u=\log x[/tex] and [tex]\mathrm du=\frac{\mathrm dx}x[/tex]. Then the integral is equivalent to

[tex]I=\displaystyle\int_{\log1}^{\log e}\frac{\mathrm du}{\sqrt{1-u^2}}=\int_0^1\frac{\mathrm du}{\sqrt{1-u^2}}[/tex]

Next, substitute [tex]u=\sin t[/tex] and [tex]\mathrm du=\cos t\,\mathrm dt[/tex]:

[tex]I=\displaystyle\int_{\sin^{-1}0}^{\sin^{-1}1}\frac{\cos t}{\sqrt{1-\sin^2t}}\,\mathrm dt=\int_0^{\frac\pi2}\frac{\cos t}{\sqrt{\cos^2t}}\,\mathrm dt[/tex]

We have [tex]\sqrt{x^2}=|x|[/tex] for all [tex]x[/tex], but in the given integration interval, [tex]\cos t\ge0[/tex], so

[tex]I=\displaystyle\int_0^{\frac\pi2}\frac{\cos t}{\cos t}\,\mathrm dt=\int_0^{\frac\pi2}\mathrm dt=\boxed{\dfrac\pi2}[/tex]

(Of course, with a little foresight, you could have immediately combined the two substitutions and started off with letting [tex]\sin u=\log x[/tex].)

Answer:

480

Step-by-step explanation:

So we have the expression:

[tex]-8(2z-70)[/tex]

And we want to evaluate it for z=5 and c=2:

So:

[tex]=-8(2(5)-70)[/tex]

Multiply within the parentheses:

[tex]=-8(10-70)[/tex]

Subtract within the parentheses:

[tex]=-8(-60)[/tex]

Multiply:

[tex]=480[/tex]

Answer:

480

Step-by-step explanation:

-8( 2(5) - 70)

-8 ( 10 - 70)

-80 + 560

480