would 20, 40, 30 form a right angle​

Answer: Option D

[tex]f(x)=(x+3)^2 -k[/tex]

Step-by-step explanation:

For a quadratic function of the form

[tex]ax ^ 2 + bx + c[/tex]

The x coordinate of the vertice is:

[tex]x =-\frac{b}{2a}[/tex]

In this case the function is:

[tex]f(x)=x^2+6x-2\\\\[/tex]

So

[tex]a=1\\b=6\\c=-2[/tex]

The x coordinate of the vertice is:

[tex]x=-\frac{6}{2*1}\\\\x=-3[/tex]

The y coordinate of the vertice is:

[tex]f(-3) = (-3)^2 +6(-3) -2\\\\f(-3)=-11[/tex]

The vertice is: (-3, -11)

The form e vertice for a quadratic equation is:

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

Where

the x coordinate of the vertice is h and the y coordinate of the vertice is k.

Then h=-3 and k =-11

Finally the equation [tex]f(x)=x^2+6x-2\\\\[/tex] in vertex form is:

[tex]f(x)=(x+3)^2 -k[/tex]

Answer:

The correct answer option is D. f(x) = (x + 3)² - 11.

Step-by-step explanation:

We know that the standard form of a quadratic function is given by:

y = ax² + bx + c

The vertex form of a parabola is given by

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

h = -b / 2a and k = f(h)

In the given equation f(x) = x² + 6x - 2

a = 1, b = 6 and c = -2

Finding h:

h = -6 / (2 × 1)

h = -6/2

h = -3

Finding k:

k = 1(-3)² + 6(-3) + 3

k = 9 - 18 - 2

k = -11

Therefore, the given quadratic function in vertex form: f(x) = (x + 3)² - 11

Answer:

a = 15

b = 7

c = 4

Step-by-step explanation:

Given in the question an expression [tex]\sqrt[4]{15}^{7}[/tex]

This expression can be written as [tex]15^{\frac{7}{4} }[/tex]

As we know that roots are most often written using a radical sign, like this, [tex]\sqrt[n]{x}[/tex] But there is another way to represent the taking of a root.

You can use rational exponents instead of a radical. A rational exponent is an exponent that is a fraction. For example, [tex]\sqrt[n]{x}[/tex] can be written as [tex]x^{\frac{1}{n} }[/tex]

Secondly two powers having same base can be multiply

[tex]x^{n}(^{m})=x^{nm}[/tex]

Answer:

21.9%

Step-by-step explanation:

This involves binomial probability.

n = # of tries:  8

x = # of successes (heads):  3

Use your calculator's probability distribution function binompdf.

Type in binompdf(n, p, x), which in this case would be:

             bionompdf(8, 0.5, 3) = 0.219, or 21.9% (Answer C)

The probability of flipping a coin 8 times and getting heads 3 times is 21.9%. Therefore, option C is correct

To find the probability of flipping a coin 8 times and getting heads 3 times, we need to use the binomial probability formula. The formula is P(x) = (nCx) * p^x * (1-p)^(n-x), where n is the number of trials, x is the number of successful outcomes, p is the probability of success on a single trial, and nCx is the combination notation.

In this case, n = 8, x = 3, and p = 0.5 (since the probability of getting heads on a fair coin is 0.5). Plugging these values into the formula, we get:

P(3) = (8C3) * 0.5^3 * 0.5^(8-3)

= (8!/3!(8-3)!) * 0.5^3 * 0.5^5

= 56 * 0.5^3 * 0.5^5

= 56 * 0.125 * 0.03125

= 0.21875

= 21.9%

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Answer:

x - 3

Step-by-step explanation:

Given

[tex]\frac{x^2-9}{x+3}[/tex]

Note that x² - 9 is a difference of squares and factors as

x² - 9 = (x + 3)(x - 3), thus

[tex]\frac{(x+3)(x-3)}{x+3}[/tex]

Cancel the x+ 3 factor on the numerator/ denominator leaving

x - 3 ← in simplified form

The simplified form of the given rational expression x²-9/x+3, provided x is not equal to -3, is x-3.

The given rational expression is x²-9/x+3. To simplify this expression, we can recognize that the numerator (x^2-9) is a difference of squares. In fact, we can rewrite the expression as (x+3)(x-3)/(x+3). As long as x doesn't equal -3 (to prevent division by zero), we can simplify the expression by canceling out the common factor of 'x+3' in both the numerator and denominator. Therefore, the simplified form of the rational expression is x-3 when x does not equal -3.

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Answer:

m= 1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

-4-(-7) / 6-(-3)

3/ 9

1/3

Answer:

[tex]x=-15[/tex]

Step-by-step explanation:

[tex]8x+10-2x=4(x-5) \\ \\ 6x+10=4x-20 \\ \\ 2x=-30 \\ \\ x=-15[/tex]

x = -15

First, distribute the 4 to the x - 5 to get 8x + 10 - 2x = 4x - 20.

Now, subtract 4x and 10 from each side to get 4x - 2x = -30

Simplify the subtraction to get 2x = -30.

Divide both sides by 2 to get a final answer of x = -15.

Answer:

Option B) Between 2 & 3 full pitchers

Step-by-step explanation:

Note  In this problem the volume of the pitcher is 1/3 gallon instead of 3 1/3 gallon

The options of the questions are

A) Between 1 & 2 full pitchers

B) Between 2 & 3 full pitchers

C) About 1/2 of a full pitcher

D) About 1/4 of a full pitcher

so

we know that

To find the number of water pitchers Jason will need to fill the water jug, we will divide the amount of water needed to fill the jug by amount of water in the pitcher

[tex](3/4)/(1/3)=9/4\ water\ pitchers[/tex]

Convert to mixed number

[tex]9/4\ water\ pitchers=(8/4)+(1/4)=2(1/4)\ water\ pitchers[/tex]

therefore

Is Between 2 & 3 full pitchers  

Despite having a 3 1/3 gallon pitcher, Jason will only need 3/4 gallon of water to fill his 3/4 gallon jug. The size of the pitcher doesn't matter, only the size of the jug.

Considering that Jason is seeking to fill a 3/4 gallon water jug with a 3 1/3 gallon pitcher, it is evident that the entire capacity of the pitcher will not be required. To determine precisely the volume of water required, we examine the jug's capacity. Given that the jug has a maximum volume of 3/4 gallon, that is the exact volume of water Jason will require to fill it. Regardless of the pitcher's volume, it's the jug's capacity, which is 3/4 gallon, that establishes the quantity of water needed. Consequently, 3/4 gallon is the volume of water he needs to fill the jug.

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Answer:

[tex]\$3,200.57[/tex]  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

[tex]A=P(e)^{rt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

[tex]t=7\ years\\ P=\$1,120\\ r=0.15[/tex]  

substitute in the formula above  

[tex]A=\$1,120(e)^{0.15*7}=\$3,200.57[/tex]  

Answer:3,200.57

Step-by-step explanation:

Answer:

Step-by-step explanation:

let x be the number

2(x+8)=-4x+4

2x+16=-4x+4

6x=-12

x=-2

Answer:

x=-2

Step-by-step explanation:

2(x+8)=-4x+4

2x+16=-4x+4

6x=-12

x=-2

Answer:

There are 9 blueberry muffins.

Step-by-step explanation:

In order to find this amount, we need to multiply the fraction that represents blueberry muffins by the total number of muffins.

24 * 3/8 = 9

Answer:

9

Step-by-step explanation:

24/8=3

3x3=9, so there are 9 muffins

Total/denominator, then that number times the numerator.

Answer: It can't be 10 + x, it can't be 10x, so it will be 10/x

please mark as brainliest

Step-by-step explanation:

Answer:

[tex]\frac{10}{x} \ miles[/tex]

Step-by-step explanation:

Givens

So, how far does he walk in one hour?

Basically, the question is asking the constant rate of change of the person's position. In other words, it's asking about the man's velocity: how many miles per hour.

The expression that represents this situation is

[tex]\frac{10}{x} \ miles[/tex]

Because, the problem refers to the ratio of change, which is the quotient between the distance traveled and the time that took to travel that distance.

Answer:

the answer is 8

Step-by-step explanation:

You would do use the equation (3×2)+2=8

Hope this helps :)

Answer:

8 appetizer recipes.

Step-by-step explanation:

Given,

The number of appetizer recipes Laverne already knew = 2,

Also, she learns 3 new appetizer recipes during each week of school.

So, the additional number of recipes she learn in 2 weeks = 2 × 3 = 6,

Hence, the total  appetizer recipes she would know = The recipes she already knew + the additional number recipe she learnt in 2 weeks

= 2 + 6

= 8

Answer:

B. y+13=5(x+2)

Step-by-step explanation:

I personally do y=_+_(x-_) when solving these equations

Plug in -2 the x coordinate for (x- (-2) to be (x+3)

Plug in -13 for the y intercept.

5 from 5x is the slope.

Thus y=-13+5(x+3)

Then just move 13 to the other side

Answer:

8.

Step-by-step explanation:

In all of the steps to solve this specific question, x is a variable to represent the other factor, that we are trying to find out the answer to, and our equation that we need to set up for this problem, is -9 times x equals -72, because -9 multiplied by the other factor that we are trying to solve for, which is x in this case, should equal -72. So then, to completely finish simplifying this equation, we need to divide -9 from both sides, so we can get our variable x, that we are trying to get the answer for, by itself. Then finally, you get x equal to 8, as our final, simplified answer. These are all of the steps to completely get the correct answer to your question.

Hope this helps!!!

Kyle.

Answer: l = 4 cm, w = 7 cm

Step-by-step explanation:

i think that this is it

Answer:

it’s the third one

l = 4 w = 7

Step-by-step explanation:

to find the area you multiply length by width

4x7 = 28

X = -2500

This is because:

For this case we must find the value of the variable "x" of the following expression:

[tex]\sqrt {-4x} = 100[/tex]

Now, we square both sides of the equation:

[tex]-4x = 100 ^ 2\\-4x = 10000[/tex]

We divide between -4 on both sides of the equation:

[tex]x = \frac {10000} {- 4}\\x = -2500[/tex]

ANswer:

[tex]x = -2500[/tex]

Option A

Answer:

£37.80

Step-by-step explanation:

To find the sale price of a jacket during a 30% off sale, first subtract 0.30 from 1.00, obtaining 0.70, and then multiply the regular price (£54) by 0.70:

0.70(£54) = £37.80

The sale price of the jacket after a 30% discount is applied to the original price of £54 is £37.80.

The student's question is about calculating the sale price of a jacket after a discount of 30% is applied to the normal price of £54. This is a typical percentage problem that can be solved using the following steps:

To calculate the discount amount: 30% of £54 = 0.30 × £54 = £16.20.

Then, subtract the discount amount from the original price: £54 - £16.20 = £37.80.

Therefore, the sale price of the jacket is £37.80.

Answer:

Option C. [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

and

The scale factor is equal to the ratio of its corresponding sides

Let

z-----> the scale factor

[tex]z=\frac{15}{18}[/tex]

simplify

[tex]z=\frac{5}{6}[/tex]

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

It is pretty easy.

[tex]20 = x \times 0.08 \\ x = 20 \div 0.08 = 250[/tex]

[tex]30 = x \times 0.75 \\ x = 30 \div 0.75 = 40[/tex]

[tex]45 = x \times 0.20 \\ x = 45 \div 0.20 = 225[/tex]

[tex]36 = x \times 1.50 \\ x = 36 \div 1.5 = 24[/tex]

Answer:

a. 250

b. 40

c. 225

d. 24

Step-by-step explanation:

Answer: in explanation

Step-by-step explanation:  1.) Plug your input in for x and solve for your output, y. You are given the input (far left column). As for graphing, plot -5 on the y-axis (vertical one) and move down one, right one until you reach bottom. Then move up one, left one until you reach the top.

2.)Plug your input in for x and solve for your output, y. You are given the input (far left column). As for graphing, plot -1 on y-axis (vertical one) and move up two, right one and down two, right one until you reach either end of the graph.

Connect both with a solid line and put arrows on either end.

[tex]\bf y=-\cfrac{3}{5}x+4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

[tex]\large\boxed{\left\{\begin{array}{ccc}t_1=375\\t_{n}=5t_{n-1}\end{array}\right}[/tex]

Step-by-step explanation:

[tex]t_n=75(5^n)\\\\t_{n+1}=75(5^{n+1})\\\\\text{The common ratio:}\ r=\dfrac{t_{n+1}}{t_n}\\\\\text{Substitute:}\\\\r=\dfrac{75(5^{n+1})}{75(5^n)}\qquad\text{cancel 75 and use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\r=5^{n+1-n}=5^1=5\\\\\text{Calculate}\ t_1.\ \text{Put}\ n=1\ \text{to}\ t_n:\\\\t_1=75(5^1)=75(5)=375\\\\\text{The recursive formula of a geometric sequence:}\\\\t_1\\t_n=(t_{n-1})(r)[/tex]

Answer:

t1=375, tn = 5tn-1, where n EN and >1

Step-by-step explanation:

USA test prep said so

Answer:

$733.33

Step-by-step explanation:

The question is on finding the principal value

Formulae for simple interest

S.I= P×R/100×T where P is the invested amount of money, R is interest rate and T is time in years

Given that;

Simple interest=$77 , R=7% and T=1.5 years then

S.I= P×R/100×T...................substituting the values given

77=P×7/100 × 1.5

77=P×0.105

77/0.105 =P

$733.33=P

Answer:

D) 24 in3

Step-by-step explanation:

Volume of a box is length times width times height

2 in x 4 in x 3 in = 24

and its inches cubed because inches is multiplied 3 times

Answer:

Step-by-step explanation: it’s C

2x4x3

8x3

24 2in

For sin, cos, and tan, let's use an abbreviation.

SOH-CAH-TOA

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

[tex]cos=\frac{adjacent}{hypotenuse}[/tex]

[tex]tan=\frac{opposite}{adjacent}[/tex]

But before that, we should solve for the missing side.

Since this triangle is a right triangle, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2 \\ \\ 6^2+8^2=c^2 \\ \\ c^2=36+64 \\ \\ c^2=100 \\ \\ c=10[/tex]

So the hypotenuse is 10.

Let's plug in.

sin θ = 6/10 --> 3/5

cos θ = 8/10 --> 4/5

tan θ = 6/8 --> 3/4

Now for the cosectant, secant, and cotangent, we'll just use the definitions.

Cosectant is hypotenuse over opposite.

Secant is hypotenuse over adjacent.

Cotangent is adjacent over opposite.

So they are basically the inverses.

csc θ = 10/6 --> 5/3

sec θ = 10/8 --> 5/4

cot θ = 8/6 --> 4/3

Answer:

a=1/16 ft2

Step-by-step explanation:

1/4x1/4=1/16

Answer:

1/16

Hope This Helps!  Have A Nice Day!!

Answer:

The Answer would be B.

Step-by-step explanation:

Rearrange

5+2*(3+2*x)-(x+3*(x+1))=0

Step 2:

 (5 +  2 • (2x + 3)) -  (4x + 3)  = 0

Step  3  :

 8  = 0

Step  4  :

Equations which are never true :

 8   =  0

This equation has no solution.

Answer:

C. 26

Step-by-step explanation:

The question is on finding determinant of 3×3 matrix

General formulae is given by

if we have matrix (a  b  c)

                             (d  e  f)  

                              (g  h  i ) then the determinant will be given by

a× D( e f) - b × D (d f)  + c× D ( d e)

       (h  i)              (g i)              (g  h)

where D is the determinant

Evaluate

(a  b  c)     (-4  3  3)

(d  e  f)  =  (3  0  2)  = -4 ×D(0 2)  - 3×D (3 2) + 3×D (3 0)

 (g  h  i )     (3  1   1)                (1   1)           (3  1)           (3  1)

= -4 × {(I×0)-(1×2)} -3 {(3×1)-(3×2)} + 3 { (1×3)-(3×0)}

= -4 ×{-2} - 3×{-3} +3× {3}

=8+9+9= 26

Answer:

(-6, -36)

Step-by-step explanation:

The vertex [tex](h,k)[/tex] of a function of the form [tex]f(x)=ax^2+bx+c[/tex] is given by the formula:

[tex]h=\frac{-b}{2a}[/tex]

[tex]k=f(h)[/tex] in other words, we find h and then evaluate function at h to find k.

We know from our function that [tex]a=1[/tex], [tex]b=12[/tex].

Replacing values

[tex]h=\frac{-12}{2(1)}[/tex]

[tex]h=-\frac{12}{2}[/tex]

[tex]h=-6[/tex]

Now we can evaluate our function at -6 to find k:

[tex]k=f(h)=f(-6)[/tex]

[tex]k=(-6)^2+12(-6)[/tex]

[tex]k=36-72[/tex]

[tex]k=-36[/tex]

We can conclude that the vertex (h, k) of our function is (-6, -36)

Answer:

(-6,-36)

Step-by-step explanation:

The given function is

[tex]f(x)=x^2+12x[/tex]

We complete the square to write this function in the vertex form.

Add and subtract the square of half the coefficient of x.

[tex]f(x)=x^2+12x+6^2-6^2[/tex]

[tex]f(x)=x^2+12x+36-36[/tex]

The first three terms is now a perfect square trionomial

[tex]f(x)=(x+6)^2-36[/tex]

Or

[tex]f(x)=(x--6)^2-36[/tex]

The function is now in the form:

[tex]f(x)=a(x-h)^2+k[/tex]

where h=-6 and k=-36

The vertex is therefore (h,k)=(-6,-36)