Solve 2(x + 1) = 2x + 2

Answer:

56.5 ft

Step-by-step explanation:

See the attached figure which represents the explanation of the problem.

We need to find the length of the tree to which is the length of AD

From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft

At ΔABD:

∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°

∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°

Apply the sine rule at ΔABD

∴[tex]\frac{AB}{SinD} =\frac{AD}{sinB}[/tex]

∴ 18/sin 18 = AD/sin 76

∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)

So, The length of the tree = 56.5 ft.

The answer is 56.5 ft

Answer:

[tex]S_6=189[/tex]

Step-by-step explanation:

This is a geometric series with [tex]a_1=3[/tex] and common ratio [tex]r=2[/tex]. Using the formula [tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}[/tex] to find the sum of the first [tex]n=6[/tex] terms, we have:

[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_6=\frac{3(1-2^6)}{1-2}\\\\S_6=\frac{3(1-64)}{-1}\\\\S_6=\frac{3(-63)}{-1}\\\\S_6=\frac{-189}{-1}\\\\S_6=189[/tex]

So, the given series works out to be [tex]S_6=189[/tex].

Answer:

If a= ⅓

Gradients are perpendicular if they are multipled they will equal to - 1

Answer:

Kayla gets $0.77 back, Heidi gets $9.02 back

Step-by-step explanation:

12 - 11.23 = 0.77 (how I got 12 is the $10 dollar bill and TWO $1 dollar bills)

20.25 - 11.23 = 9.02 (how I got 20.25 is the $20 dollar bill and the quarter which is worth $0.25)

Answer:

Ratio 3 : 1

First person 5 biscuits 

Second person 15 biscuits 

Step-by-step explanation:

“one person gets three times as many as the other”  means  “the ratio is 3 to 1 or just 3 : 1”

………………………

Let x be the number of biscuits that the first person got then the second person should get 3x biscuits.

It’s clear that we have to solve this equation:

x + 3x = 20

Solving:

x + 3x = 20

⇔ 4x = 20

⇔ x = 20/4 = 5

Final answer:

First person: 5 biscuits

Second person: 3×5 = 15 biscuits

Answer:

275.

Step-by-step explanation:

The gradient of the graph is 70/2 = 35 and it passes through the origin so we can write its equation as

y = 35x.

The gradient of the function represented by the the table is

(240-180) / (4-3) = 60

Ehen x = 3 y = 180 so when  x = 0 y = 180 - 60 - 60 - 60 = 0 and the equation of this function is

y = 60x.

For the first equation when x = 11, y = 35*11 = 385.

For the second it is 60 * 11 = 660

So our answer is  660 - 385

= 275

Answer:

See below

Step-by-step explanation:

The mean is simply adding up each data value and dividing your result by the number of data values:

[tex]\text{Mean}=\frac{6+8+7+5+10+6+9+8+4}{9}=\frac{63}{9}=7[/tex]

The standard deviation is calculated through finding the sum of the squared differences between the mean and each data point, and dividing that result by the number of data values, which we then take the square root of:

[tex]\text{Standard Deviation}=\sqrt{\frac{(6-7)^2+(8-7)^2+(7-7)^3+(5-7)^2+(10-7)^2+(6-7)^2+(9-7)^2+(8-7)^2+(4-7)^2}{9}}=\sqrt{\frac{10}{3}}\approx1.8257[/tex]

What this value means is that each data point is spread about 1.8257 apart from the mean. Standard deviation describes how dispersed the data is in relation to the mean.

Answer:

268.08 cubic inches

Step-by-step explanation:

I'm sorry if this isn't helpful

To multiply 64 • 8.32, use the logarithmic equation (2)  log 64 + log 8.32

The product is given as:

64  * 8.32

As a general rule, the product of a and b can be calculated using:

a * b = antilog(log(a) +log(b))

This means that:

64  * 8.32 = antilog(log(64) +log(8.32))

Hence, we make use of the logarithmic equation (2)  log 64 + log 8.32

Read more about logarithmic equation at:

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The components of v are -2 and 1.

The components of a vector in two dimension coordinate system are usually considered to be x-component and y-component. It can be represented as, V = ([tex]v_x, v_y[/tex]), where V is the vector.

As, Vector v have an initial point at (6, -7) and a terminal point at (4, -6).

If initial point of vector [tex](x_1,y_1)[/tex] and terminal point is [tex](x_2,y_2)[/tex], then components of vector is

v= ([tex]x_2-x_1, y_2-y_1[/tex])

Initial point= (6,-7) and terminal point=(4,-6)

Then,

v= (4-6, -6-(-7))

v=(-2, 1)

Thus, the vector v=(-2, 1) have two components -2 and 1.

Learn more about vectors here:

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Answer:

A.

Step-by-step explanation:

it’s add 6 because, 6 + 7 = 13 and 13 + 6 = 19 and it keeps on continuing this is how I know I am correct.

Answer:

the answer is A) Add 6

Step-by-step explanation:

you add so 7 plus 6 is 13 and 13 plus 6 is 19 and so it continues

hope this helps!!

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

         [refer to attachment for question]

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Remember, the radius is exactly one-half of the diameter, so if we need to find the diameter, we multiply the radius times 2:-

r=6.5m

d=13m

r=9.1 ft

d=18.2 ft

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

Answer:

111

Step-by-step explanation:

Answer:

The correct option is B.

Step-by-step explanation:

The only given function that is an exponential decay function is;

B. Fx) = 3 • (1.4)^x

Now, the general formula for exponential decay function is;

f(x) = abˣ

where b is the decay factor.

here, we have,

we know that,

Now, the decay factor which we will call the base of the exponent must be greater than 1 .

and, we have,

Also, the exponent x must be negative to be called an exponential decay function.

so, from the given graph we get,

Looking at the given options, only Option B meets the criteria for an exponential decay function.

The only given function that is an exponential decay function is;

B. Fx) = 3 • (1.4)^x

Read more about exponential decay function at; brainly.com/question/4681369

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Answer: ( −∞ , ∞)

Step-by-step explanation: Any value of x makes the equation true.

All real numbers

original equation

[tex]2(x+1)=2x+2[/tex]

distribute

[tex]2x+2=2x+2[/tex]

solve

[tex]2=2\\\\0=0[/tex]

the answer is 0.

Work Shown:

3050+6 = 3056

If you wanted the min height allowed, then you'd compute 3050-6

Note: 3050 mm = 10 feet approximately

Answer:

10 inches

Step-by-step explanation:

2+2.25+2.25+2.25+2.5+2.75+2.75+3.25=10!!!!!!!!!

Answer:

thank youuu

Step-by-step explanation:

Answer:

hello!!!

300 cupcakes

please read the explanation.. it always helps... trust me...

Step-by-step explanation:

alrighty here it goes...

okay.. so we start by reading the problem (duh) but also underlining the important numbers that we need. yes, it really is that simple, trust me....

okay so the percentage of chocoalte cupcakes was 8% and the amount of vanilla cupcakes was 276.

we start by taking 100% - 8% = 92% so the amount of vanilla cupcakes sold was 276 which is also 92% of the total amount of cupcakes.

so now we need to find out 92% of what number gets us 276.

the percentage formula (in this problem) should be as follows:

92/100 x (total amount of cupcakes) = 276

to solve for total amount of cupcakes you do 276 x 100 then you divide by 92 to get your answer (which is 300)

i hope this helps!!!

Answer:

300

Step-by-step explanation:

Answer:

There was a 50% chance that the goldfish would swim to the left

Step-by-step explanation:

Percentage means "amount in one hundred".

[tex]\textsf{one in two}=\sf \dfrac{1}{2}=\sf \dfrac{1\times 50}{2 \times 50}=\dfrac{50}{100}=50\%[/tex]

Newspaper headline:

There was a 50% chance that the goldfish would swim to the left.

Answer:

the temperature in London would be -1 degrees as 5-6=-1

Answer:

No

Step-by-step explanation:

5(-3)= -15

5(1)= 5

-15+5=-10

-10 is greater than -19 not less than or equal too.

Hope this helps!

Answer:

0.0000000673

Step-by-step explanation:

7.4*10^-8=0.000000074

6.7*10^-9=0.0000000067

0.000000074-0.0000000067

=0.0000000673=673*10^-10

Answer:

6.73 × [tex]10^{-8}[/tex]

Step-by-step explanation:

7.4 × [tex]10^{-8}[/tex]

6.7 × [tex]10^{-9}[/tex] = 0.67 × [tex]10^{-8}[/tex]

7.4 × [tex]10^{-8}[/tex] - 0.67 × [tex]10^{-8}[/tex] = ( 7.4 - 0.67 ) × [tex]10^{-8}[/tex] = 6.73 × [tex]10^{-8}[/tex]

Answer:

Step-by-step explanation:

a) 1.8 kg in grams is 1800 g

b) If 6 toys weigh 1800g; then 1 toy weighs 300 g(6:1)

c) If 1 toy weighs 300 g, 4 toys weigh 1200 g and you convert in kg which is 1.2 kg

Answer: The sum of a number and its square is 6. Find the number

Step-by-step explanation:

n + n^2 = 6 n^2 + n - 6 = 0 factoring ___ (n + 3)(n - 2) = 0 n + 3 = 0 ___ n = -3 n - 2 = 0 ___ n = 2 two solutions 

Answer:

n = -3, 2

Step-by-step explanation:

We're given:

Let the number be n.

[tex]n+n^2=6[/tex]

⇒ Move everything to one side of the equation:

[tex]n+n^2-6=0[/tex]

⇒ Organize in [tex]ax^2+bx+c=0[/tex] form:

[tex]n^2+n-6=0[/tex]

⇒ Factor:

[tex]n^2-2n+3n-6=0\\n(n-2)+3(n-2)=0\\(n+3)(n-2)=0[/tex]

⇒ Use the zero-product property to find n:

[tex]n+3=0\\n=-3[/tex]       or       [tex]n-2=0\\n=2[/tex]

Answer:

So the first thought would be to make the length and width twice the size of the original square but this would actually cause us to multiply the area by 4.

The second thought was to raise one of the sides to be twice the length or width and that would give us the correct answer since we are just multiplying it by 2.  If side AB is the only one that can move then we would just extend that side twice the original length.

Answer:

Step-by-step explanation:

The most repeated number is 1,

Therefore, 1 is the anser

Answer:

transition 1 would be 5 to the right

transition 2 would be 1 down

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

x + y = 3

2x + 2y = 6

Multiply the first equation by 2:

2x + 2y = 6

This is the same equation as the second one.

So there are an infinite number of solutions.