Check
Match the algebraic expression on the left to the correct value when evaluated on the right.
j+ş evaluate when= 1
350
n
7
evaluate when n = 35
to
up
5
70a: evaluate when a = 5
1.5
X-9; evaluate when x = 10.5
11
12

Considering the vertex of the quadratic equation, it is found that the scuba diver reaches maximum depth after 6 seconds.

A quadratic equation is modeled by:

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

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

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

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the depth is given by:

D(x) = -x² + 12x + 4.

Which means that the coefficients are a = -1, b = 12, c = 4, hence:

[tex]x_v = -\frac{b}{2a} = -\frac{12}{-2} = 6[/tex]

The scuba diver reaches maximum depth after 6 seconds.

More can be learned about the vertex of a quadratic equation https://brainly.com/question/24737967

Answer:

[tex] 1 \frac{2}{3}\: liters [/tex]

Step-by-step explanation:

[tex]V_{soda}[/tex] in one bottle = 5/9 liters

No of bottles = 3

Total volume of soda

[tex] = \frac{5}{9} \times 3 \\ \\ = \frac{5}{3} \\ \\ = 1 \frac{2}{3} \: liters[/tex]

Hey there!

"less than" is "<"

y+15<3

Solve it:

y<3-15

y<-12

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

y < -12

Step-by-step explanation:

Edge

Answer:

-90 degrees counter clock wise

Step-by-step explanation:

it goes the opposite of a clock so it would be called -90 degrees counter clockwise, you could also say 270 degrees clockwise if the other isnt an option.

Answer:

6

Step-by-step explanation:

2 x 3

where u(n) is the nth term (any term).

u⁰ is out first term (2)

d is the common difference (5)

[tex]s = 9.5(94)[/tex]

[tex]s = 893[/tex]

Answer:

4.1 meters each

1000 milileters go into 1 meter

Step-by-step explanation:

Answer:

Step-by-step explanation:

12300/3= 4100    1 meter = 1000 millimeters

4100/1000=4.1 meters

The formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

The relation formula can be used to describe such sequence are,

[tex]f(x+1)=r\times f(x)[/tex]

Here, r is the common ratio.

The given sequence is,

[tex]64, -48, 36, -27, ...[/tex]

In the above sequence, the next term has opposite sign to its previous term. The common ratio between the two terms is,

[tex]r=\dfrac{-48}{64}=-\dfrac{3}{4}\\r=\dfrac{36}{-48}=-\dfrac{3}{4}\\r=\dfrac{-27}{36}=-\dfrac{3}{4}[/tex]

The common ratio of the sequence is -3/4. Put this value in the above formula as,

[tex]f(x+1)=-\dfrac{3}{4}\times f(x)[/tex]

Hence, the formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).

Learn more about the geometric sequence here;

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Answer:

B

Step-by-step explanation:

edge

Using proportions, it is found that it would take 1 hour for the pedestrian to travel the same distance.

A proportion is a fraction of a total amount.

In this problem, the cyclist takes 25 minutes, while the pedestrian's time is [tex]2\frac{2}{5} = \frac{12}{5}[/tex] slower(greater), hence his time is given by:

[tex]t = \frac{12}{5} \times 25 = 12 \times 5 = 60[/tex]

It would take 1 hour for the pedestrian to travel the same distance.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

2

Step-by-step explanation:

3^2 = 9

Answer:

The answer should be C. 250 in^3

Answer:

C. 250 in^3

Step-by-step explanation:

Answer:

( 6(x)² + 12(x) - 90 ) ft³

Explanation:

addition problem: 2(x)² + 12(x) + 10 + 4(x)² - 100

total volume of water:

Answer:

a)  [tex]\sf total \ volume \ of \ pool= (2x^2+12x+10)+(4x^2-100) \ ft^3[/tex]

b)  [tex]\sf total \ volume \ of \ pool =(6x^2+12x-90) \ ft^3[/tex]

Step-by-step explanation:

Given:

a)  Total volume of water = deep end volume + shallow end volume

[tex]\implies \sf total= (2x^2+12x+10)+(4x^2-100)[/tex]

b) Simplify:

[tex]\sf \implies 2x^2+12x+10+4x^2-100[/tex]

Collect like terms:

[tex]\sf \implies 2x^2+4x^2+12x+10-100[/tex]

Combine like terms:

[tex]\sf \implies 6x^2+12x-90[/tex]

Check the picture below.

The rotation of point G to point H is an illustration of a circular movement

The rotation that maps point G to point H is 72 degrees clockwise

From the figure, we have the following parameters:

Number of sections (n) = 5

Angle at the center = 360

The angle of rotation is then calculated as:

Rotation = 360/5

Evaluate

Rotation = 72

Point H is to the left of point G.

This represents a clockwise direction

Hence, the rotation that maps point G to point H is 72 degrees clockwise

Read more about rotation at:

https://brainly.com/question/4289712

Answer:

72° clockwise

Step-by-step explanation:

result = 39 - 39 x 3% = 39 x 0,97 = 37,83

Answer:

11. b

10.d

9.c

7.b

1.d

the rest I can't see clearly

please give brainiest

Step-by-step explanation:

11.

3/x-4=7/x

*cross multiply

3x=7 (x-4)

3x=7x-28

28=7x-3x

28=4x

x=7

10.

SOHCAHTOA

Cos☆=11/14

cos^-1 (11/14)

☆=38.21 degrees

9.

MLN CONGRUENT TO WBN

ML/WB=LN/BN=MN/WN

LN/BN=10/6

ML/WB

24/x=10/6

24x6=10x

144÷10

=14.4

6^2+14.4^2

=243.36

squareroot

=15.6

48 /   -8 = -6

-40 /  8 = -5

12  -  (-2) = 14

18 -  (-12) = 6

18 -  (-20) = -2

22  x  (-0.5) = 11

Answer:

B = (5, 1).

Step-by-step explanation:

From the formula for the midpoint of  a line :-

(-1 + x)/2 , (5 + y)/2 = (6/2, 6/2)    where x and y are the coordinates of B.

so (-1 + x)/2 = 6/2

-1 + x = 6

x = 5.

and (5 + y)/2 = 6/2

5 +  y = 6

y =  1.

The solutions to the equation [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex] are 3 and -5.

To solve any equation is to find the solution of the given equation which satisfied the equation.

The given expression is [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex]

let u = (x +2)

then the equation becomes

[tex]\rm u^{2} - 2u - 15 = 0[/tex]

by factorizing, we get

(u + 3)(u - 5) = 0

u + 3 = 0, u = -3

u - 5 = 0, u = 5

Since, u = x + 2

So, x + 2 = 5, x = 3

x + 2 = -3, x = -5

Therefore, the solutions to the equation are 3 and -5.

Learn more about the solution of the equation ;

https://brainly.com/question/545403

Answer:

45n+12mm

Step-by-step explanation:

I hope this is right if it is right pls mark me as brainliest and learn well

the value of a and b will be 45 and 0 for the given expression.

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given, the shapes are a circle with a radius of 21mm and a quarter circle of 6mm.

Since Radius = 21 cm

the radius of the circle/ radius of the quarter circle = 7/2

Total length = Sum of the circumference of both the circle

Since the formula for the circumference of a circle:

C = 2 * pi * radius

Total length = 2* pi* r + 1/4 * (2 * pi * r')

Total length = 2 *pi * 21 + pi * 3

Total length = π(42 + 3)

total length = 45π + 0

therefore, the value of a and b will be 45 and 0 for the given expression.

Learn more about proportionalities here:

https://brainly.com/question/3254974

#SPJ2

Answer:

give me 2 minutes and I will

Answer:

2 students do Chemistry, but not Mathematics

Step-by-step explanation:

2 students do Chemistry, but not Mathematics

*View attached table*

Hope this helps!

[tex]\mathsf\blue{♧ANSWER♧}[/tex]

[tex] \mathsf \orange{ \frac{x \times y}{2}} [/tex]

[tex] \mathsf \green{ \frac{8 \times 12}{2} }[/tex]

[tex] \mathsf \orange{ \frac{96}{2} }[/tex]

[tex] \mathsf \green{48 \: square \: units}[/tex]

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex]\qquad\qquad\qquad \large\underline{ \boxed{ \sf{✰\: Information }}}[/tex]

[tex]{ \boxed{ ✟ \: \underline{ \boxed{ \sf \: Area \: of \: kite = \frac{ d_1 \times d_2}{2} \: or \blue{ \: \frac{1}{2} \times d_1 \times d_2}}}✟ }}[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

[tex] \qquad \rm{➛Area \: of \: kite = \frac{BD×AC}{2} }[/tex]

[tex]\qquad \rm{➛Area \: of \: kite = \frac{8×12}{2} } \\ \qquad \rm{➛Area \: of \: kite = \frac{ \cancel{96}}{ \cancel2} } \\ \qquad \rm{➛Area \: of \: kite = 48 {units}^{2} }[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

★Hence area of kite with diagonals BD = 8 units and AC = 12 units is

[tex]\qquad\qquad\qquad{ \boxed{↪ \underline{ \boxed{ \sf{\: 48 {units}^{2} \green✓ }}}↩}}[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

★ More info regarding this topic ★

[tex]\rule{80mm}{2.5pt}[/tex]

Hope it helps !

Answer:

Quadrant III yw :3

Step-by-step explanation:

Answer:

true false false

Step-by-step explanation:

3,4,5 is a common triangle (proof sqrt(3^2+4^2) = 5)

5,6,7 cant exist sqrt(5^2+6^2) doesnt equal 7

5,5,10 cant exist sqrt(5^2+5^2) doesnt equal 10

Answer:

23, 25, 27, 29

Step-by-step explanation:

14*2 = 28, 28-5=23

15*2=30, 30-5=25

16*2=32, 32-4=27

17*2=34, 34-5=29

[tex]14 \times 2 - 5[/tex]

[tex]28 - 5[/tex]

[tex]23[/tex]

[tex]15 \times 2 - 5[/tex]

[tex]30 - 5[/tex]

[tex]25[/tex]

[tex]16 \times 2 - 5[/tex]

[tex]32 - 5[/tex]

[tex]27[/tex]

[tex]17 \times 2 - 5[/tex]

[tex]34 - 5[/tex]

[tex]29[/tex]

The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).

The given expression is: [tex]2x^{2} +3x-54[/tex]

A factor is a number that divides another number leaving no remainder.

We can rewrite the given expression as:

[tex]2x^{2} +12x-9x-54[/tex] (middle term has been splitted)

Take 2 as common from first two terms while take -9 as common from last two terms.

[tex]2x(x+6)-9(x+6)[/tex]

Take (x+6) as common

[tex](x+6) (2x-9)[/tex]

So, we got the factors (x+6) and (2x-9)

Therefore, The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).

To get more about factors visit:

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Answer:  x = 54°

Step-by-step explanation:

The sum of these three inter angles is equal to 180°.

36° + 90° + x° = 180

         126 + x = 180

                   x = 54°

Step-by-step explanation:

36° +90°+ x = 180° ( sum of all angle of triangle is 180°)

126° + x = 180°

x = 180° - 126°

x = 54°