: If 10 less than 5 times a number is two more than 3 times the number, then the number is ​

Answer:

The amount Tobie invests in a bank, P = $25

The annual compound interest rate, i = 4%

a. The principal is amount invested in the bank, P = $25

The annual interest rate, i = 4%

b. The function that represents Tobie's account balance, A, after t years is given as follows;

[tex]A(t) = P \cdot (1 + i)^t[/tex]

Where;

A(t) = The amount in the account after t years

P = The principal amount

i = The annual compound interest rate

t = The number of years

c. The values to place in the table are found as follows;

At t = 0, [tex]A(0) = 25 \times(1 + 0.04)^0[/tex]  = 25

At t = 10, [tex]A(10) = 25 \times(1 + 0.04)^{10}[/tex] = 37

The given table is presented as follows;

[tex]\begin{array}{ccc}t&&A(t)\\0&&25\\10&&37\end{array}[/tex]

Step-by-step explanation:

Step-by-step explanation:

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432 π m²

Answer:

Solution given:

radius of dome[r]=12m

now

Are of dome(semi sphere)=3*πr²=3*π*12²=432πm²

The surface area of a dome (a half sphere) with a radius of 12 meters is,

⇒ 1356.48 meters²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

⇒ Radius of sphere = 12 meters

Now, We know that;

⇒ The surface area of a half sphere = 3πr²

Here, r = 12 m

Hence, The surface area of a dome (a half sphere) with a radius of 12 meters is,

⇒ 3πr²

⇒ 3 × 3.14 × 12²

⇒ 1356.48 meters²

Thus, The surface area of a dome (a half sphere) with a radius of 12 meters is,

⇒ 1356.48 meters²

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Answer:

4x^2 +9x/4 -7

Step-by-step explanation:

f(x) =x/4 - 3

g(x) = 4x^2 + 2x - 4

(f +g)(x) = x/4 - 3  +  4x^2 + 2x - 4

             = 4x^2 + 8x/4+x/4 -7

             = 4x^2 +9x/4 -7

Answer:

y = 4x - 12

Step-by-step explanation:

y = 4x + b

8 = 4(5) + b

8 = 20 + b

-12 = b

[tex] \green{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: \: we \: know \: that \: \\ \sf \: if \: any \: equation\:of \: line \: which \: slope (m) \\ \sf \: and \: passes \: through \: (x_1,y _1) \: \: then \: its \\ \sf equation \: is \: : \\ \\ \red{ \boxed{ \bf y - y_1 = m(x - x_1)}}\bf\end{array}}}}[/tex]

Given that,

A equation of the line with a slope of m = 4 and that contains / passes through the point (5, 8).

So,

[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: x_1 = 5 \: \: \: \\ \bf y_1 = 8 \\ \bf \: m \: = 4 \: \: \end{array}}}}[/tex]

NOW,

The equation is :

[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: y - 8 = 4(x - 5) \\ \\ = > \bf \: y - 8 = 4x - 20 \\ \\ = > \pink{ \boxed{\bf\:4x - y - 12 = 0}} \end{array}}}}[/tex]

Answer:

10

Step-by-step explanation:

The highest number in which 80, 90 and 120 can be divided by is 10.

80÷10=8

90÷10=9

120÷10=12

Answer:

10

Step-by-step explanation:

8090/10 = 809

120/ 10 = 12

Answer:

...=

Step-by-step explanation:

First step to these problems will be to move the -11 to the side with the 107_

That will give us 35x=107_ +11.

Next, we know 35=5 times 7, and be now can say that 107_+11 will be a multipe of 5 and 7 at the same time. If it's a multiple of 5, then it has to end in a five or zero, so the blank can be four or nine. If it has to be a multiple of seven, too, than the only 1070 because that is divisible by 7, whereas 1075 is not.

I hoped you liked this answer. If you have any more questions, you can always ask me!

It should be noted that in the equation 35x - 11 = 107, x will be 3.371.

To solve the equation 35x - 11 = 107, we can follow these steps:

Add 11 to both sides of the equation to isolate the term with the variable:

35x - 11 + 11 = 107 + 11

This simplifies to:

35x = 118

Divide both sides of the equation by 35 to solve for x:

(35x) / 35 = 118 / 35

This simplifies to:

x = 118 / 35

The result, in decimal form, is approximately:

x ≈ 3.37

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Answer: Approximately 17.69

Step-by-step explanation:

The formula needed to find the third side of this equation is the Pythagorean theorem. Which is as follows:

[tex]a^2+b^2=c^2\\c=\sqrt{a^2+b^2}[/tex]

The difference between the two is that the first one after you do [tex]a^2+b^2[/tex] you still need to square root the answer you get to get the third side, aka. the hypotenuse. If you do the second method, you get the answer after you do the calculation which is a lot easier.

Below are the calculations needed to be made in both ways:

[tex]12^2+13^2=313\\\sqrt{313}= 17.69[/tex]   17.69 was rounded to the hundredths place.

[tex]\sqrt{12^2+13^2}=17.69[/tex]   once again this answer was rounded to the hundredths place.

[tex]a^2+b^2[/tex] are respectively for the sides of the triangles.

[tex]c^2[/tex] is respectively for the hypothenuse, which is the longest side, and across from the right angle (located by a box).

Answer:

5 or 17.69

Step-by-step explanation:

1st case senario:

c^2=a^2+b^2

c^2=12^2+13^2

c^2=144+169

c^2=313

c^2=[tex]\sqrt{313}[/tex]

c=17.69

2nd case senario:

144+b^2=169

b^2=169-144

b^2=25

b^2=[tex]\sqrt{25}[/tex]

b+5

Answer:

right by 3 I think

Step-by-step explanation:

Answer: Right by 3 Units

Step-by-step explanation:

Right on edge 2021

Answer:

Step-by-step explanation:

[tex]a^{m}* a^{n}=a^{m+n}\\\\\\(\frac{-1}{2})^{-19}*(\frac{-1}{2})^{8}=(\frac{-1}{2})^{-2x +1}\\\\(\frac{-1}{2})^{-19+8}=(\frac{-1}{2})^{-2x+1}\\\\\\(\frac{-1}{2})^{-11}=(\frac{-1}{2})^{-2x+1}[/tex]

As bases are equal in boht sides, we can compare the exponents.

-2x + 1 = -11

Subtract 1 form both sides

-2x = -11 - 1

-2x = -12

Divide both sides by -2

x = -12/-2

x = 6

Answer:

A. 75.40 m³

Step-by-step explanation:

Diameter of cylinder (d) = 4 m

Radius (r) = ½(d) = ½(4) = 2 m

Height (h) = 3 × r = 3 × 2 = 6 m

Volume of cylinder = πr²h

Substitute the values

Volume of cylinder = π*2²*6

Volume of cylinder = π*4*6

Volume = π*24

Volume = 75.40 m³

Answer:

a^2+2ab = 21

(a+b)^2= 25

Step-by-step explanation:

(a+b)^2 = a^+2ab+b^2

sub a=3 and b=2 and simplify  

Answer:

D = 1,7,10

Step-by-step explanation:

-7 = 2x - 9

x = 1

5 = 2x - 9

x = 7

11 = 2x - 9

x = 10

the domain of (1,7,10)

9514 1404 393

Answer:

Step-by-step explanation:

The speed is the ratio of the change in distance to the corresponding change in time.

Vehicle A moves from a position of 12 m to one of 28 m in 50 seconds, so its speed is ...

  A = (28 -12)/50 m/s = 16/50 m/s = 0.32 m/s

Vehicle B moves from 0 to 28 m in 50 seconds, so its speed is ...

  B = (28 m)/(50 s) = 0.56 m/s

Answer:

12

Step-by-step explanation:

let the rational number be x

x+(-3) = 9

x = 9+3 = 12

Answer:

12

Step-by-step explanation:

x + y = 9

x = -3

=>

-3 + y = 9

y = 12

Answer:

h = 3/8

Step-by-step explanation:

1/2(6h-4) = -5h+1

Distribute

3h -2 = -5h+1

Add 5h to each side

3h-2+5h = -5h+1+5h

8h-2 = 1

Add 2 to each side

8h-2 +2 = 1+2

8h = 3

Divide by 8

8h/8 = 3/8

h = 3/8

Answer:

they are the values of the 3 coefficients.

Step-by-step explanation:

Answer:

1) The total displacement vector is ((16 + √2)/2, -(6+11·√2)/2)

2) The number of miles they'd have to walk is approximately 13.856 miles

Step-by-step explanation:

1) The distance, direction, and location of the path of the walk the person takes,  are listed as follows;

Start location, (0, 0)

6 miles East walk to location, (6, 0)

6 miles Southeast to location, (6 + 3·√2, -3·√2)

3 miles South to location, (6 + 3·√2, -3·√2 - 3)

5 miles Southwest to location, (6 + 3·√2 - 2.5·√2, -3·√2 - 3 - 2.5·√2)

2 miles East to location, (6 + 3·√2 - 2.5·√2 + 2, -3·√2 - 3 - 2.5·√2)

(6 + 3·√2 - 2.5·√2 + 2, -3·√2 - 3 - 2.5·√2) = ((16 + √2)/2, -(6+11·√2)/2)

Therefore the destination coordinates is ((16 + √2)/2, -(6+11·√2)/2)

The total displacement vector, [tex]\underset{d}{\rightarrow}[/tex] = ((16 + √2)/2, -(6+11·√2)/2)

d =  (16 + √2)/2)·i - (6+11·√2)/2)·j

2) If the person walked straight home, the number of miles they'd have to walk, [tex]\left | \underset{d}{\rightarrow} \right |[/tex], is given as follows;

[tex]\left | \underset{d}{\rightarrow} \right | = \sqrt{\left(\dfrac{16 +\sqrt{2} }{2} \right)^2 + \left(-\dfrac{6 + 11 \cdot \sqrt{2} }{2} \right)^2 } = \sqrt{134 + 41 \cdot \sqrt{2} }[/tex]

Therefore;

If the person walked straight home, the number of miles they'd have to walk [tex]\left | \underset{d}{\rightarrow} \right | \approx 13.856 \ miles[/tex]

Answer:

x=5

Step-by-step explanation:

(5x+2)/3 = 9

Multiply each side by 3

(5x+2)/3 *3 = 9*3

5x+2 = 27

Subtract 2 from each side

5x+2-2 = 27-2

5x = 25

Divide by 5

5x/5 = 25/5

x =

Answer:

Step-by-step explanation:

What are we supposed to do? You already have the answers and they’re all correct if that’s what you wanted to know

Answer:the answer is 9

Step-by-step explanation:

[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]

Answer:

Express your answer using positive exponent.

[tex]\bold{(5st³u^{9}v^{7})(6s⁴t^{6}uv)}[/tex]

adding power of common term and multiply constant term:

[tex]\bold{5*6*s^{1+4}*t^{3+6}*u^{9+1}*v^{7+1}}[/tex]

[tex]\bold{30s^{5}*t^{9}*u^{10}*v^{8}}[/tex]

[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]

Answer:

[tex]30s^5t^9u^{10}v^8[/tex]

Step-by-step explanation:

We'll be using the following exponent property to solve this problem:

[tex]a^b\cdot a^c=(a)^{b+ c}[/tex]

This will allow us to combine terms with the same variable.

In [tex](5st^3u^9v^7)(6s^4t^6uv)[/tex], we have four variables, [tex]s[/tex], [tex]t[/tex], [tex]u[/tex], and [tex]v[/tex].

Let's start with the [tex]s[/tex] terms, [tex]5s[/tex] and [tex]6s^4[/tex]. The number in front of each term is called the coefficients, and can be multiplied directly. Remember that if there is no exponent written, it's the same thing as if there was an exponent of 1.

Therefore, combine using the exponent property I mentioned above:

[tex]5\cdot 6\cdot s^1\cdot s^4=30\cdot s^{1+4}=30s^5[/tex]

Next, we'll move on to the [tex]t[/tex] terms, [tex]t^3[/tex] and [tex]t^2[/tex].

Combine using the exponent property:

[tex]t^3\cdot t^6=t^{3+6}=t^9[/tex]

Repeat for the [tex]u[/tex] and [tex]v[/tex] terms:

[tex]u^9\cdot u=u^{9+1}=u^{10}[/tex]

[tex]v^7\cdot v=v^{7+1}=v^8[/tex]

Finally, combine all the terms together:

[tex]\implies \boxed{30s^5t^9u^{10}v^8}[/tex]

Answer:

9^10

Step-by-step explanation:

(a^b)^c = a^(b×c)

hihi

Answer:

2.75, or 2 3/4

Step-by-step explanation:

Cross multiply first to get:

4y = 11

Divide by 4 on both sides

y = 2.75

Now, simplify to a mixed number or keep it as a decimal to get 2.75, or 2 3/4.

Hope this helps!

If there is something wrong, just let me know.

Answer:

2.75

Step-by-step explanation:

1/y = 4/11 cross multiply the expressions

4y = 11 divide both sides by 4

y = 2.75

Using Pythagoras theorem

[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=17^2-8^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=289-64[/tex]

[tex]\\ \Large\sf\longmapsto P^2=225[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{225}[/tex]

[tex]\\ \Large\sf\longmapsto P=15ft[/tex]

Answer:

Step-by-step explanation:

we have : the length of the ladder is the hypotenuse of the triangle ; the length of the ladder, which is far from the wall, is the right angle side of the triangle (draw your own illustration)

Answer:

The number is -6.

Step-by-step explanation:

Variable x = a number

Set up an equation:

3x + 12 = -6

Isolate variable x:

3x = -18

x = -6

Check your work:

3(-6) + 12 = -6

-18 + 12 = -6

-6 = -6

Correct!

Answer:

3x +12=-6

3x=-6-12

3x=-18

x=-18/3

x=-6