can someone help me find the vertex of y=1/2x^2+2?

Answer: Did you get the help you needed?

Step-by-step explanation:

you take out a loan for $702 at an annual interest rate of 6% compounded quarterly for 2 years what is the total amount that you will have at the end of the two-year ​

we know that

The compound interest formula is equal to

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where

A is the total amount at the end of two years

P is the loan

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$702

r=6%=6/100=0.06

t=2 years

n=4

substitute the given values in the formula

therefore

the answer is

Let N be the nickels and Q be the quarters, since Charlie found 35 coins, we can write

Now, we know that a nickel is worth 5 cents and a quarter is worth 25 cents, then we can write

Then, the answer is option a.

The number of carrots and potatoes that Mark will need for 3 servings will be 6 carrots and 3 potatoes.

It should be noted that an expression is simply used to show the relationship between the variables that are illustrated.

From the information, Mark's soup recipe makes 10 servings and uses 4 carrots and 2 potatoes. Therefore, to make 5 servings, he will need half of the carrots and potatoes. This will be 2 carrots and 1 potatoe.

Therefore, to make 15 servings, the total needed will be;

= (4 + 2 carrots) as (2 + 1 potatoes)

= 6 carrots and 3 potatoes

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The solution for the given inequality is :

x < -19

In interval notation it is:

(-∞, -19)

And the graph can be seen in the image below-

Here we have the following inequality:

7*(2x + 5) < 3*(4x - 1)

To solve it, we need to isolate x in one of the sides of the inequality. Doing that we will get:

14x + 35 < 12x - 3

14x - 12x < -3 - 35

2x < - 38

x < -38/2

x < -19

This is the solution, written in interval form it is:

(-∞, -19)

And to graph this, we need to graph an open dot at x = -19 (which means that x = -19 is not a solution) and a line that goes to the left, it will be something like in the image below.

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For this question, notice that:

This are 3 different ways to name

the rate from the plane to the radar station increasing 3 minutes later is 19.81 km/min

A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 45 degrees. At what rate is the distance from the plane to the radar station increasing one minutes later?

speed (Δs₁)= change in distance(Δd₁) /(Δt₁)change in time

mathematically,

(Δd₁) /(Δt₁) = Δs₁

= 14 km/min = (Δd₁) /(Δt₁)

and will are to find the speed after passes the radar

=Δs₂  km/min = (Δd₂) /(Δt₂)

to find distance d₁ and d₂ with respect to angle 45 degree at 4km

sin 45 = opp/hyp = 4/d₁

d₁ = 4/sin45 = 5.66km

tan 45 == opp/adj = 4/d₂

d₂ =4/tan45 =  4km

for one minute increment,

=1 x d₁ x Δs₁ = 1 x d₂ Δs₂

= 1x5.66x14 = 1x 4 xΔs₂

= 79.24 = 4Δs₂

speed =Δs₂ = 19.81km/min

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The teacher has set up 7 workstations in each classroom

Total pounds of clay = 7/8 pounds

Pound of clay put at each workstation = 1/16

Fractions: A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

Finding the number of workstations:

Number of workstations = Total clay available/Clay set up at each workstation

=(7/8)/(1/16)

=7/8*16/1

= 14 workstations

There are two classes in which these workstations are divided

so, each class will have 7 workstations

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Answer:

160

Step-by-step explanation:

360-170-30=160 subtract all angles from 360

Answer:

140°

Step-by-step explanation:

oh, come on, this is like "you have 8 apples as a mixture of red and green apples. 5 apples are red, how many are green ?".

it is the same here.

the total angle is 170°.

now we know a part of it is 30°.

how large is the rest ?

well, it is 170 - 30 = 140°

Answer: Area= [tex]\frac{bh_{b} }{2}[/tex]

Example:

Let the base be 3 and the height([tex]h_{b\\}[/tex]) 4

So,

Area= [tex]\frac{3*4}{2\\}[/tex]-->[tex]\frac{12}{2}[/tex]=6

An angle of rotation is the measure of the amount that a figure is rotated about a fixed point called a point of rotation.

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For the transformation of parent function f(x)=|x| to the  g(x)=|x|+4, the transformation occurred is 4 units upward.

The function transformation / translation principles are as follows: f (x) + b raises the function b units.

The given parent function is; f(x)=|x|

The transformed function is; g(x)=|x|+4

Thus, from the 1st rule of the transformation we can say that the function has shifted 4 units to upward.

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The quantity of space inside a form is measured by its volume.
The volume as a function of side length(x) is: V(x) = 4x³ - 40x² + 100x

What is volume functions?
A three-dimensional space's volume can be calculated. It is frequently quantified numerically by different imperial units or SI-derived units. Volume and length have a mutually reliant relationship.

Given, length of the cardboard = 10 units
Width of the cardboard = 10 units
When side length(x) is removed from the cardboard, the dimension of the box becomes:
Length of the new cardboard = (10 - 2x) units
Width of the new cardboard = (10 - 2x) units
Height of the new cardboard = x units
Therefore, volume of the new cardboard box, V(x)
= Length*Width*Height
= x*(10 - 2x)*(10 - 2x) cubic units
= 100x² - 20x² - 20x² + 4x³
= 4x³ - 40x² + 100x

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The coordinates after dilation is

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Given coordinates of triangle (-3, 6), (0, 3) and (-3, 3)

As, the figure dilated by factor 4/3

Then the coordinates after dilation is

(-3 x 4/3, 6 x 4/3) = (-4 , 8)

(0 x 4/3, 3 x 4/3) = (0, 4)

(-3 x 4/3, 3 x 4/3) = (-4, 4)

Hence, the coordinates are:

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Answer:it is x=24

because you cant divide a negative and negative to get a negative you will get a postive if you divide -24/-3 but 24/-3 is -8

Step-by-step explanation:

Answer:

|-17| = 17, so -3 + |-17| = -3 + 17 = 14

The change in distance between the two after 15 minutes is 3.566 mi/h

Velocity is defined as the rate of change in displacement (distance) with time. It's a vector quantity so it has both magnitude and direction. Velocity is given by the formula:

Velocity = distance / time

If one walks east at 4 mi/h and the other walks northeast at 5 mi/h, then after 15 minutes, their distance are:

distance = velocity * time

distance₁ = 4 mi/h (15 mins)(1 hour/60 mins)

distance₁ = 1 mile east

distance₁ = 5 mi/h (15 mins)(1 hour/60 mins)

distance₁ = 1.25 mile northeast

Using trigonometric function and Pythagorean theorem, we can determine the distance between the two people. (Refer to the attached picture.)

d² = (1.25 sin 45°)² + (1.25 cos 45° - 1)²

d² = 0.795

d = 0.891 mi

After 15 mins, the distance is 0.891 mi and the change in distance in mi/h is

(0.891 mi / 15 mins)(60 mins / hour) = 3.566 mi/h

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Based on the amount of water in the tub that Archimedes is draining as a function of time, the rate that the water drains is A. 72 liters per minute

The speed that the water drained is the same as the slope of the line. That slope can be found by the formula:

= Change in y / Change in x

Pick two points from the line;

(0, 360) and (5, 0)

The slope is:
= (0 - 360) / (5 - 0)

= -360 / 5

= - 72

This means that every minute, Archimedes  would have drained the water by 72 liters.

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Answer:

168 straberries was rotten

Step-by-step explanation:

Answer:

tilly

its remy on the 4th quesiton

cricket loves burger clown

officer keys

gloria who works at coffee shop

because bill was going to lose the farm back in the country

Good Ol' Joe

because she let the cows out of the stables

here is your answers

Answer:

.- El complemento de un ángulo nulo es el ángulo recto. 2.- El complemento de un ángulo recto es un ángulo nulo. 3.- El suplemento de un ángulo recto es otro ángulo recto. 4.- El suplemento de un ángulo obtuso sería lo que le falta para llegar a 180.

Step-by-step explanation:.- El complemento de un ángulo nulo es el ángulo recto. 2.- El complemento de un ángulo recto es un ángulo nulo. 3.- El suplemento de un ángulo recto es otro ángulo recto. 4.- El suplemento de un ángulo obtuso sería lo que le falta para llegar a 180.

The computation shows that 1756.18595945 to the nearest hundred-thousandth will be 1756.18596.

After being rounded, the value of the hundred thousandth place, which is five places to the right of the decimal point, determines the value of the nearest ten thousandth of a decimal number, which is the value four places to the right of the decimal point.

The thousandth digit should be rounded down if the digit is less than 5. If that number is five or more, round it up to the nearest thousand. We must round up the thousandth digit because in the example given above, the digit following the thousandth digit (i.e., 9) is more than 5. This will give a value of 1756.18596.

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A symbol that creates a true sentence for x = 6 is '>' i.e.,

12 ÷ x + 2x > 1 2 ÷ (x + 2x)

In this question, we have been given a statement 12 ÷ x + 2x ____ 12 ÷ (x + 2x)

We need to select a correct symbol that would create a true sentence when x = 6.

Consider an expression 12 ÷ x + 2x for x = 6.

= 12 ÷ 6 + 2(6)

= 2 + 12

= 14                              ...................(1)

Consider an expression 12 ÷ (x + 2x) for x = 6

= 12 ÷ (6 + 2(6))

= 12 ÷ (6 + 12)

= 12 ÷ 18

= 0.67                               ...................(2)

From (1) and (2),

14 > 0.67

Therefore, a symbol that creates a true sentence for x = 6 is '>'

i.e., 12 ÷ x + 2x > 1 2 ÷ (x + 2x)

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The coordinates of endpoint B is B( 10, 6).

What is coordinates?
A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates. The coordinates' order is important, and often they are recognised by their place in an ordered tuple or by a letter, as in "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers, although they could instead be complex numbers or components of a more abstract system, such a commutative ring.

Let the coordinate at point B be B( x,y )

given that A(0,0) and the midpoint of the line AB is (5,3).

We know the mind point formula:

midpoint = ( x2 + x1 / 2 , y2 + y1 / 2)

Therefore according to the question,

B(5 = x + 0 / 2  ,  3 = y + 0 / 2)

B( 10, 6)

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Answer:

see explanation

Step-by-step explanation:

a

the error she has made is in cancelling the values in the denominators.

When cancelling fractions, this is performed between values on the numerator with values on the denominator.

correct result is

[tex]\frac{1}{15}[/tex] × [tex]\frac{3}{5}[/tex] ( cancel the 3 and 15 by 3 )

= [tex]\frac{1}{5}[/tex] × [tex]\frac{1}{5}[/tex]

= [tex]\frac{1}{25}[/tex]

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

b

as an estimate, multiply the numerators and denominators, that is

[tex]\frac{1(3)}{15(5)}[/tex] = [tex]\frac{3}{75}[/tex] = [tex]\frac{1}{25}[/tex]

Answer: The answer is B.

Step-by-step explanation: The scale on the y-axis could be changed to 100–120.

Answer:

(5x)(-1.2x+5)

=-6x^2+25x

Step-by-step explanation:

Answer:

4^-1 = 0.25

Step-by-step explanation:

Answer:

(-3/4, 0) and (0, 3/2)

Step-by-step explanation:

The [tex]x[/tex]-intercept is when [tex]y=0[/tex].

[tex]\frac{3}{4}+x=0 \implies x=-3/4[/tex]

So, the [tex]x[/tex] intercept has coordinates [tex](-3/4, 0)[/tex].

The [tex]y[/tex] intercept is when [tex]x=0[/tex].

[tex]\frac{3}{4}=\frac{1}{2}y \implies y=3/2[/tex].

So, the [tex]y[/tex] intercept has coordinates [tex](0, 3/2)[/tex]

well, is really "x", now, if we take 16 to be the 100%, what is 10 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 10& x \end{array} \implies \cfrac{16}{10}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{8}{5}=\cfrac{100}{x}\implies 8x=500\implies x=\cfrac{500}{8}\implies x=62.5[/tex]