1/4 of a liter is equal to how many mL

Answers

Answer 1

Answer: $1 \ liter = 1000 \ mL \n \n(1)/(4) * 1000 = 250 \ mL$

Answer 2

Answer: 250mL 1/4 x 1000 = 1000/4 OR 250

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Solve the inequality 5x-7<2x -1

Answers

You have to move the x's to one side so
5x-2x<-1+7
3x<6
Then you get x alone so you divide both sides by 3
X<2
You switch the sign
X>2

To solve the inequality, we have to isolate x. Here's how:

$5x-7\ \textless \ 2x-1 \n (5x-7)+7\ \textless \ (2x-1)+7 \n 5x\ \textless \ 2x+6 \n (5x)-2x\ \textless \ (2x+6)-2x \n 3x\ \textless \ 6 \n (3x)/(3) \ \textless \ (6)/(3) \n x\ \textless \ 2$

Your answer is x<2.

Hope this helps!

Write an equation of the parabola in vertex form.

Answers

Answer:

$y= -\frac19(x-3)^2+1$

Step-by-step explanation:

the x-3 is to shift a normal parabola 3 to the right

the +1 is to lift the top up by one

the -1/9 is to compress and swapt it around

Answer:

y =- $(1)/(9)$ (x - 3)² + 1

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, 1) , thus

y = a(x - 3)² + 1

To find a substitute another point on the graph into the equation

Substitute (1, $(5)/(9)$ ) into the equation

$(5)/(9)$ = a(1 - 3)² + 1 ( subtract 1 from both sides )

- $(4)/(9)$ = 4a ( divide both sides by 4 )

a = - $(1)/(9)$

y = - $(1)/(9)$ (x - 3)² + 1 ← equation of parabola in vertex form

a paddle boat can move at a speed of 6km/h in still water. the boat is paddeled 16km downstream in a river in the same time it takes to go 8km upstream what is the speed of the river?

Answers

$v-the\ speed\ of\ the\ river\n\n16:(6+v)=8:(6-v)\n\n(16)/(6+v)=(8)/(6-v)\n-------------\nmultiply\ on\ the\ cross\n-------------\n8(6+v)=16(6-v)\n\n48+8v=96-16v\n\n8v+16v=96-48\n\n24v=48\ \ \ /:24\n\nv=2\ (km/h)\leftarrow Answer$

Find the inverse function of h(x) = -2/3 x + 6.h -1(x) = -3/2 x + 9
h -1(x) = -3/2 x - 6
h -1(x) = -2/3 x + 9
h -1(x) = -2/3 x - 6

Answers

Hello,
H^(-1)(x)=-3/2 x+9
Answer A
Indeed:

y=-2/3x+6-->x=-2/3 y +6 ==>3x=-2y+18==>2y=-3x+18==>y=-3/2 x +9

Using the point-slope formula, what is the equation of the line that passes through the points (1, 5) and (0, 0)?

Answers

Hello,

Slope= (0-5)/(0-1)=-5/(-1)=5

Equation is

y-5=5(x-1)
or
y=5x

PLEASE HELP ME !!!The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?

base area for cone= B
base area for pyramid= B, 3r heigh

A. V = pi r³
B. V = 1/3 pi r²
C. V = 2 pi r²
D. V = 1/9 pi r³
E. V = 3 pi r³