use the figure below to solve for the missing value(s):

Answer:

1/2=0.5

Step-by-step explanation:

-2+4/5°-1=1/2

Answer:

Answer:

85.2 km/h

Step-by-step explanation:

you are looking for the average speed of a car=rate of the car

distance =213km

time=2 hours 30 minutes also 2 1/2h or 2.5h

distance =rate×time

213km=rate×2.5h

(transpose)

213km÷2.5h=rate

85.2km/h=rate

hope this helps!!!

pls mark brainliest...i really need it :/

The correct answer which define proportional relationship between x and y is OA line that goes through (0, 0) and (3.6, 14.4)

What does proportionality mean to you?

Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.

As we can see that in the given question [tex]\frac{x}{y} =\frac{1}{4}[/tex]
and there is only one option which fits this ratio is third one


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Answer:

to simplify the dude aboves' answer its C

Step-by-step explanation:

 A line that goes through (0, 0) and (3.6, 14.4)

The statement that is true about the quadratic function is (b) the graph of the function is a parabola.

The quadratic function is given as

f(x) = x2 – 5x + 12

Rewrite as

f(x) = x² – 5x + 12

All quadratic functions are parabola

This means that option (b) is true

Set x = -10 to calculate f(-10)

So, we have

f(-10) = (-10)² – 5(-10) + 12

Evaluate

f(-10) = 162

This means that option (a) is false

Set x = 20 to calculate f(20)

So, we have

f(20) = (20)² – 5(20) + 12

Evaluate

f(20) = 312

This means that option (d) is false

Set x = 0 to calculate f(0)

So, we have

f(0) = (0)² – 5(2) + 12

Evaluate

f(0) = 12

This means that option (e) is false

The leading coefficient in f(x) = x² – 5x + 12 is positive

Graphs with positive leading coefficient opens up

This means that option (c) is false

Hence, the true statement about the quadratic function is (b)

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Answer: AB

Step-by-step explanation:

Radius of a circle is defined as the distance from the center of a circle to its perimeter (the edge).  Line AB is the only choice that meets this definition. CE is the diameter of the circle.

Answer:

AB

Step-by-step explanation:

radius goes in half the circle

Answer:

  x = 5

Step-by-step explanation:

You want to know what number must be excluded from the domain of f(x) = 15/(x -5).

The domain of a function is the set of numbers for which it is defined. The function f(x) = 15/(x-5) will be undefined when the denominator is zero:

  x -5 = 0

That will be the case when x = 5.

The domain of f must exclude x=5.

Answer: 2/17 or 2 over 17

Step-by-step explanation:

The highlighted point is (9, -7) . A shape or item is said to be rotated when it is spun around a central point (center) without being moved in any other direction. Size and shape are unaffected by rotation. Basic Transformations in Geometry.

A shape or item is said to be rotated when it is spun around a central point (center) without being moved in any other direction. Size and shape are unaffected by rotation. Basic Transformations in Geometry.

If the picture is the point (-7, -9)

Detailed explanation:

When the point (x, y) rotates 90 degrees counterclockwise with respect to the origin, its image is (-y, x)

When the point (x, y) rotates 180 degrees counterclockwise around the origin, its image is (-x, -y)

The picture of the point (x, y) if it were rotated 270 degrees counterclockwise with respect to the origin is (y, -x)

The highlighted point is (9, -7)

∴ x = 9 and y = -7

The provided point is turned 270 degrees counterclockwise with respect to the origin.

Utilizing the third rule listed above

The illustration of the point is (y, -x)

That is to say, alter the x-sign coordinate's before switching them.

∵ x = 9 and y = -7

The illustration if the point is (-7,-9).

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Answer:

5 with a remainder of 49

Step-by-step explanation:

The measure of the intercepted arc, [tex]\widehat{XY}[/tex], formed by the secants ZW and ZV is 30°

A secant line is a straight-line which has two points of intersection with a circle.

From a similar question on the internet, the figure consists of an outside angle of 41° formed by two secants and two intercepted consisting of [tex]\widehat{XY}[/tex]and [tex]\widehat{VW}[/tex] which measures 112°

The outside angles of a circle theorem states that the outside angle formed by two secants or two tangent or a combination of a secant and a tangent is the difference of the measure of the difference of the angles of the intercepted arcs divided by two.

Mathematically;

[tex]m\angle z = \dfrac{\widehat{VW} - \widehat{XY}}{2}[/tex]

Where;

The outside angle formed by the secant ZW and ZV, m∠z = 41°

[tex]\widehat{VW}[/tex] = 112°

Which gives;

[tex]41^{\circ}= \dfrac{112^{\circ}- \widehat{XY}}{2}[/tex]

2 × 41° = 112° - [tex]\widehat{XY}[/tex]

82° = 112° - [tex]\widehat{XY}[/tex]

[tex]\widehat{XY}[/tex] = 112° - 82° = 30°

[tex]\widehat{XY}[/tex] = 30°

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Answer:

the number greater than 5 is only 6 in the case of a coin.

Step-by-step explanation:

in a coin numbers greater than 5 is only 6

probability= No of required outcome/ No of possible outcome.

P.B= 1/6

in a coin there is head or tail

P.B of getting tail

P.B= Tail/Head + Tail

P.B= 1/2

The coin of course, has two sides, heads and tails. Assume we are talking about a six-sided die. Let's look at the individual probabilities.

There are only two sides to the coin, tails being one of them, so:
p(tails) = 1/2

The die goes from 1 to 6. We need to see the numbers that fit the inequality:

p(5 < x ≤ 6)
There is only one integer that is greater than five and less than or equal to six, and that is six. If there is only one number out of six, then:
p(>5) = 1/6

When dealing with probabilities, to determine the probability of two things happening, multiply both probabilities.

1/2 x 1/6 = 1/12

The table complete table that shows equivalent ratios is:

Toss     Dollars  

5             2

30           12

45           18

See image in the attachment that shows the points on a coordinate plane.

The ratios that give the same value when we compare them together are regarded as equivalent ratios.

For example, 2:3 is an equivalent ratio to 4:6, because 4/6 can be simplified as 2/3.

If it cost $12 to toss 30 rings, the ratio of dollars to number of toss would be: 12:30 = 2:5.

Let x = number of toss

Let y = amount in dollars

The equation that models the equivalent ratios can be written as y = 2/5x.

Therefore, when we have 2 dollars (y = 2):

2 = 2/5(x)

10 = 2x

10/2 = x

x = 5 toss

When we have 45 tosses (x = 45):

y = 2/5(45)

y = 18 dollars

The table of equivalent ratios would be:

Toss     Dollars  

5             2

30           12

45           18

The points, (5, 2), (30, 12), and (45, 18) are shown on the coordinate axes in the diagram below, where y = dollars, and x = toss.

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Answer:

x= 68  z= 180  y=38

Step-by-step explanation:

The total distance of the triathlon is 12000 m.

Two or more expressions with an equal sign are defined as an equation.

Let the total distance of the triathlon be x.

Tasneem swims 1/4of the total route, therefore, she swims for a distance of S = (1/4)x.

Now the remaining route is,

x - (1/4)x

=3/4x

After swimming, she cycles 3/5 of the remaining route, therefore, she cycles for a distance of C = (3/5)×(3/4)x,

C = (9/20)x

Now, she runs for the rest of the route, therefore, she runs for a distance of R = x - (1/4)x-(9/20)x

Or, R = (20x - 5x - 9x)/20

R = (6x)/20

Given that Tasneem runs 3600 m, therefore, substitute R = 3600 into the above equation,

3600 = (6x)/20

(3600×20)/6 = x

12000 = x

Therefore, the total distance of the triathlon is 12000 m.

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(7,0); (7,−5) ;(7,3); (7,10);. (7,y)

Step-by-step explanation:

Answer:

The equation x = 7 forms a vertical line which we refer to as undefined. So any points with a x value of 7 will pass through the line.

Step-by-step explanation:

For example, points like (7, 0) (7, 1) (7, 2) are all points that the line x = 7 passes through.

A point is made up of 2 values. An x-value and and a y-value. You simply plug in 7 for the x and any value for y.

Points that are on the line x = 7 include:

(7, 0)

(7, 1)

(7, 2)

(7, 4)

(7, 5)

(7, 6)

Using the given table, the y-values are 36, 54, 81, 121.5, and 182.25.

We are given a table. Mathematical tables are collections of numbers that represent the outcome of a computation with varied arguments. The table has two columns and five rows. The first column shows the x-values. The second column shows the f(x) values. We know that y = f(x). So, the second column shows the y-values. The y-value is the vertical value in a pair of coordinates. It denotes how high or low the point is. In an ordered pair of coordinates, the y-coordinate is always written second (x, y). The five rows show the data points with corresponding x-values and y-values.

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If lliot and Jack share some money in the ratio . 8:5 Elliot got £21 more than Jack. The amount that Elliot received is £56.

Given data;

Sharing ratio 8:5

Amount Elliot got = 21

In order to determine  the amount that Elliot received we need to formulate and equation and then use the formulated equation to find the amount received.

Equation

21 × 8 ÷ (8-5)

Hence,

£21 × 8 ÷ (8-5)

£168 ÷ 3

=  £56

Therefore Elliot received £56.

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Answer:

so the answer would be a protozoa

Step-by-step explanation:

.

Answer:

$93.75

Step-by-step explanation:

$125 × 0.75 = $93.75

Answer:

$93.75

Step-by-step explanation:

125x0.25

31.25

125-31.25

$93.75

Hopes this helps

The product of linear factors for f(x) is given as (x + 1)(x² + 4x + 2) for -1 as a zero of the polynomial x³ + 5x² + 6x + 2.

The factor theorem states that;

f(x) is divisible by x - a if and only if f(a) = 0

f(x) is divisible by x + a if and only if f(-a) = 0

in both cases, a and -a are the zeros of the polynomials.

From the question, given that -1 is a zero of

f(x) = x³ + 5x² + 6x + 2, then it is divisible by x + 1 and f(-1) = 0.

Dividing x³ + 5x² + 6x + 2 by x + 1 using the long division will result to another factor x² + 4x + 2 with a remainder of zero. (complete long division is attached as a photo!)

Therefore we can then conclude that (x + 1)(x² + 4x - 2) is the product of linear factors for f(x) = x³ + 5x² + 6x + 2 and -1 as a zero.

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The penguin's depth after 4 minutes is d = 10.7 + 146m

A rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate. The word "per" can be further replaced by the symbol "/" in problems.

if the penguin moves with a speed of 146 meters per minute, then its distance after m minutes is  = 146 x m

Since it moved from an elevation 10.7 below the sea surface, its total distance(d) would be = 10.7 + 146m

substitute m = 4 minutes,

we have

d  = 10.7 + 146(4)

d = 594.7metres

In conclusion, the function rule is 10.7 + 146m and the distance d covered after 4 minutes is 594.7 meters

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The time required for for the balance to reach $4635 is 5 years.

The formula for simple interest can be expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given the data in the question;

First convert the interest rate from percent to decimal

Interest rate = 0.6%

Interest rate = 0.6/100

Interest rate = 0.006

Plug the given values into the above formula and solve for time t.

A = P( 1 + rt )

t = ( 4635/4500 - 1) / 0.006

t = ( 1.03 - 1) / 0.006

t = ( 0.03) / 0.006

t = 5 years.

Therefore, the required time is 5 years.

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The required area of the flour in the square yard is A =n[ L×W ] where L and W are the length and width of the tiles respectively.

Given that,
A rectangular floor is long and wide. Pablo wants to carpet the floor with carpet titles sold by the square yard.

Surface area is defined as the area of the surface that is uncovered.

here,
Let for a tile the length be L and the width be W,
Assume that the number of tiles required is N,
The area of the N tiles is equal to the area of the rectangular floor,
Area of the floor = N [area of the tile]
Area of the floor (A = N [L× W]

Thus, the required area of the flour in the square yard is A =n[ L×W ] where L and W are the length and width of the tiles respectively.

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Angle x= 45

acc to the question-

Hence, Angle x= 45

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Solving for X the value is = 45, 6

acc to our question-

90/x=90/x+15+1/2

(15-x)90 - 90x/15x-x^2 = 5

x= 45 or 6

hence, for X the value is = 45, 6

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Answer:

OB. g(x) = 31x1

C. g(x) = 13x1

Step-by-step explanation:

As per the given interest rate and types of annual interest , investor should choose compounded monthly as it gives interest more frequently .

As given in the question,

Time period to calculate the compound interest  = 3years

Interest rate compounded monthly = 5.50%

Each month interest output is 5.64079

Rate of interest compounded semi- annually = 5.70%

Each month interest output is 5.78123

Compounded monthly gives interest every month and semi-annually gives twice a year.

Monthly is more frequent  compare to semi-annually.

Investor should choose monthly.

Therefore, as per the given interest rate and types of annual interest , investor should choose compounded monthly as it is more frequent .

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The point estimate of the population mean  is 22 and margin of error for the confidence interval is 3.

1. Point estimate

Point estimate = Upper bound+ Lower bound/2

Point estimate = (25+19) /2

Point estimate = 44/2

Point estimate = 22

2. Margin error

Margin error = Upper bound  - Lower bound/2

Margin error = ( 25-19) /2

Margin error = 6 /2

Margin error = 3

Therefore the point estimate is 22.

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The seal's new position relative to the surface of the ocean is 47 meters below.

It is important to note that that question has to do with elevation which is the change in position with regards to the sea or ocean level.

In this case, the harbour seal dives 35 metres below the ocean's surface and then it dives down an additional 12 metres

The new position will be;

= -35 - 12

= -47

This implies that it's 47 meters below the ocean surface.

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