What would be the most logical first step for solving this quadratic equation?
x²+2x-11=4
A. Add 11 to both sides
B. Take the square root of both sides
C. Divide both sides by x
D. Subtract 4 from both sides

The value of z using the information and the formula provided in the question is -5.292.

Subsituting for the missing values in the formula, the formula becomes: [tex]\frac{130 - 135}{\frac{5}{\sqrt{28} } }[/tex]

Solving for the numerator, the number becomes -5. Solving for the denominator, the number becomes 0.94491

z = -5/0.94491

z = -5.292

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Answer:

A triangular prism is a three-dimensional shape having two triangular bases and three rectangular sides.

[tex]\qquad \textit{power of two complex numbers} \\\\\ [\quad r[cos(\theta)+isin(\theta)]\quad ]^n\implies r^n[cos(n\cdot \theta)+isin(n\cdot \theta)] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ z=3[\cos(30^o)+i\sin(30^o)] \\\\\\ z^3=3^3[\cos(3[30^o])+i\sin(3[30^o])]\implies z^3=27[\cos(90^o)+i\sin(90^o)] \\\\\\ z^3=27(0~~ + ~~i1)\implies z^3=0+27i[/tex]

so that gives us the point (0 , 27) on the imaginary plane, and we also know the line goes through the origin, since it'd be a line in component form, and to get the equation of a line we only need two points off of it, let's use those two.

[tex]\stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{27}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{27}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{0}}}\implies \cfrac{27}{0}\implies und efined[/tex]

a line with an undefined slope is a vertical line, namely in this case x = 27.

first question is true and second question is 6cm

Answer:

its A my friend because: 48/2=24. 72/2=36

24/2=12. 36/2=18

12/2=6. 18/2=9

Answer: 4 pounds

Step-by-step explanation:

      First, we will see how much the coffee cost by subtracting what was left by the total gift card.

             $90 - $59.64 = $30.36

      Now, we will divide how much the coffee cost by how much one pound costs. This will give us how many pounds she bought, and the answer to your problem

             $30.36 / $7.59 = 4

                 She bought four pounds of coffee.

Answer:

Step-by-step explanation:

the answer is 66. To find the third angle subtract 80 and 34 by 180.

[tex]Elsa:y_1=70x+180[/tex]

[tex]brian,y_2=100x[/tex]

[tex]Rnown\ by\ the\ topic,[/tex]

[tex]Assuming\ that\ the\ Elsa\ amount\ of\ money\ is\ y_1,[/tex]

[tex]Brian's\ amount\ of\ money\ is\ y_2[/tex]

[tex]so,y_1=70x+180[/tex]

[tex]\{put\ in\ \$70\ per\ month,\ storting\ amount\ of[/tex]

[tex]y_2=100x[/tex]

[tex]\{\ put\ in\ \&\ 100\ per\ month,\ no\ starting\ emount[/tex]

[tex]\{\$70,\ \$100\ are\ monthly\ voriation,[/tex]

[tex]\$180\ is\ fixed\ value?[/tex]

I hope this helps you

:)

Answer:

-19/-24 ?

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between −19 and 0 is 19 .

-24 has an absolute value of 24

Answer:

0.791666667 I hope this helped

Step-by-step explanation:

Answer:

  a. f = 17.5/c

  b. 8.75 N

Step-by-step explanation:

Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...

  f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)

We find the value of k using data given for a specific instance.

  3.5 N = k(1/(5 cm)) . . . . use the given values

  17.5 N·cm = k . . . . . . multiply by the denominator

Then the equation of interest is ...

  f = 17.5/c . . . . . . . where c is in cm, and f is in newtons

__

Using the above equation, we find the force to be ...

  f = 17.5/2 = 8.75 . . . . newtons

_____

Additional comment

We often look at several different kinds of proportionality:

and there are combinations of these, such as ...

You may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x  ⇒  xy = k

__

We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.

  f = (17.5 N·cm)/(2 cm) = 8.75 N . . . . . units of cm cancel

Answer:

12

Step-by-step explanation:

Answer:

24 cubic units

Step-by-step explanation:

Count the front layer by fours because there are 3 rows of 4 and 3 rows of 4 on the other side.So count by 4's on the front layer then the back layer.

1/5, 13/50, 0.28, 0.41, 22%

Step-by-step explanation:

hopes this helps

hope it helps...!!!!

The probability that the number rolled is greater than 2 and the coin toss is heads is,

⇒  1/ 3

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Now, In probability theory, "AND" means multiplication and "OR" means "addition".

Hence, We can find the 2 probabilities separately and multiply them (as there is "AND")

So, Probability for number rolled greater than 2 = number of numbers that are greater than 2/total number of numbers

Since, There are 4 numbers greater than 2 in a die (3, 4, 5, 6) and total 6 numbers, so

P(number greater than 2) = 4/6 = 2/3

Now, Probability that heads come up in coin toss = 1/2 (there are 1 tail and 1 head in a coin)

Hence,

P(number greater than 2 and heads in coin) = 2/3 × 1/2 = 1/3

Thus, the probability that the number rolled is greater than 2 and the coin toss is heads is,

⇒  1/ 3

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Multiply 80 by number of copies sold and add to her salary:

P = 80N + 1700

Now replace N with 26:

P = 80(26) + 1700

P = 3,780

Answer:

P=1,700+80n

Total Pay if Yoko sells 26 Copies; 3,780

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(h ◦ f)(x) is the composition of h(x) with f(x),

(h ◦ f)(x) = h(f(x))

which we can compute by simplying replacing in h(x) every instance of x with f(x) itself:

(h ◦ f)(x) = h(f(x))

(h ◦ f)(x) = h(5x - 1)

(h ◦ f)(x) = -(5x - 1) + 5

(h ◦ f)(x) = -5x + 1 + 5

(h ◦ f)(x) = -5x + 6

Then

(h ◦ f)(3) = -5 • 3 + 6

(h ◦ f)(3) = -15 + 6

(h ◦ f)(3) = -9

Answer:

200000×2

=R400 000 and minus 50000

=300000

Step-by-step explanation:

1.

so 90 km on 17 liters.

that is a 90/17 ratio (or proportion).

that means it runs 90/17 km on 1 liter.

and therefore (90/17)×20 on 20 liters.

90×20/17 = 105.8823529... km

2.

the ratio is 66/22 based on the RPMs.

66/22 = 3/1 = 3

so, the larger gear has then 3×6 = 18 teeth.

3.

the ratio is 150/75 based on the RPMs.

the circumference of a circle is

2×pi×r

so, it is a linear relationship with the radius r (and therefore the diameter d).

so, the diameter of the larger pulley is 2×10 = 20 in

4.

the ratio here is 18/6.

18/6 = 3/1 = 3.

again, this relates to the circumference, which is a linear relationship with the radius or diameter.

the smaller gear has then 72/3 = 24 teeth.

5.

the ratio is 2/3.

so, the larger pulley has 3450×2/3 RPM.

= 2,300 RPM

6.

2.5 kg cost 110.

that is a 2.5/110 ratio :

and that means we get 2.5/110 kg for one unit of money.

and therefore we get 80 × 2.5/110 kg for 80 units of money.

80 × 2.5/110 = 8 × 2.5/11 = 20/11 = 1.818181818... kg

The notation A = {0,1, 2} is an illustration of sets

The set A do not have isolated points

An isolated point is an element of a set that belongs to a set A and any neighboring sets N, such that the set N do not contain other elements of set A

The set A is given as:

A = {0,1, 2}

The elements of the set A do not exists in other sets

So, we can say that set A do not have isolated points

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[tex]\dfrac{m^{-6} \cdot n^{-3}}{m^{-13} \cdot n^{-1}}\\\\=m^{-6-(-13)} \cdot n^{-3-(-1)}\\\\=m^{-6+13} \cdot n^{-3+1}\\\\=m^7 \cdot n^{-2}\\\\=\dfrac{m^7}{n^2}[/tex]

Answer:

x^2 + 18x + 81

Step-by-step explanation:

(x+9) (x+9)

then distributive property

[tex](x+9)^2\\\\=x^2 + 2\cdot 9 \cdot x + 9^2\\\\=x^2 +18x+81[/tex]

Answer:

95 is the answer I took the test

The radioactive sponteanous decay of the parent nucleus gives rise to the daughter nucleus.

Radioactivity refers to the sponteanous decay of a substance. We have the formula;

N(t) = Noe^-kt

Where;

N(t) = amount of radioactive material left after time t

No = amount of radioactive material initially present

k = decay constant

t = time taken

Let us now solve the questions individually;

a)

No = 20 pounds

N(t) = ?

k = 0.0231

t = 10 years

N(t) = 20e^-(0.0231 * 10)

N(t) = 16 pounds

b)

No =  80 pounds

N(t) = ?

k = 0.0248

t =  75 years

N(t) =80e^-(0.0248 * 75)

N(t) = 12.45 pounds

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first off, let's change all the mixed fractions to improper fractions.

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{left and right}}{2\left( \frac{4}{3}\cdot \frac{5}{2} \right)}~~ + ~~\stackrel{\textit{front and back}}{2\left( 3\cdot \frac{4}{3} \right)}~~ + ~~\stackrel{\textit{top and bottom}}{2\left( 3\cdot \frac{5}{2} \right)}} \\\\\\ \cfrac{20}{3}+8+15\implies \cfrac{89}{3}\implies 29\frac{2}{3}[/tex]

Answer:

3/13

Step-by-step explanation:

P(Choosing a Face card) =

12/52= 3/13

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Answer:

7k + 6

Steps:

Subtract the numbers 20+6k-14k+k

6+6k+k

Combine the terms:

6+6k+k

6+7k

Rearange terms:

6+7k

7k+6

Answer:

Question 1

a) { 3, 5, 9 }

b) { 9, 11 }

c) { }

d) { 11, 13 }

e) {11}

f) {3, 5, 7}

g) {11, 13}

h) {9}

Question 2 ( i )

a) { a,b,c,d }

{a}

{b}

{c}

{d}

{a,b,c}

{a,b}

{a,c}

{a,d}

{b,c}

{b,d}

{c,d}

{a,b,d}

{b,c,d}

{a,c,d}

{ }

b) {1,2,3}

{1,2}

{1,3}

{1}

{2}

{3}

{2,3}

{ }

c) {p, q ,r}

{ p,q}

{ p,r}

{ q,r}

{p}

{q}

{r}

{ }

d) { 5,10}

{ 5}

{10}

{ }

e) {x}

{ }

f) { ○ }

{ }

Question 2 ( ii )

(c) The set of natural numbers

Answer:

3

Step-by-step explanation:

3x - 1 < 8

Solve this inequality like a two-step equation.

Add 1 to both sides to cancel the -1.

3x - 1 < 8

3x < 9    Divide both sides by 3 to cancel the 3 in 3x.

x < 3

Find the absolute value (distance the number is from 0).

Absolute value = 3

I hope this helps and please mark me as brainliest!

Answer:

The width would be 64 cm

Step-by-step explanation:

Because the equation to find area is length times height

Since you have the area and the length, divide the area by the length to find the width

I hope this helps!