A runner ran a 400 m race in 1 min 35 sec. Calculate his average speed in m/sec.

Answer:

The water in a lake is not safe for drinking, high turbidity levels in the lake​ Coliform bacteria occur innately in soil and in the intestines of humans and other organism.

CORRECT ANSWER: high turbidity levels in the lake​.

Step-by-step explanation:

Answer:

The system of equation has infinite solution.

Step-by-step explanation

2x + y = 3

6x = 9 – 3y

First we re-write the second equation in standard form

So, we add 3y both sides

6x+3y=9 ---------------- (2)

2x+y = 3-----------------  (1)

3(2x)+3y = 3(3)

6x+3y=9

6x-6x + 3y-3y = 9-9

0=0

LHS=RHS

This is true statement. If statement is true then infinite number of many solution.

Answer:

infinite

Step-by-step explanation:

acellus

Answer: undefined

Step-by-step explanation:

slope form: [tex]\frac{y2 - y1}{x2 - x1}[/tex]

simply plug in values

[tex]\frac{4-1}{-1-(-1)}[/tex]

[tex]\frac{3}{0}[/tex]

Answer: undefined

you can also tell by realizing both x coords are the same, meaning the line is verticle and verticle lines' slopes are undefined

Answer:

vertex = (0, 1 )

Step-by-step explanation:

f(x) = 9x² + 1 ← has it's vertex on the y- axis

let x = 0 in f(x)

f(0) = 9(0)² + 1 = 0 + 1 = 1

vertex = (0, 1 )

Answer:

0.5

Step-by-step explanation:

4 is in the tenths place and 6 is in the hundredths place

Since the digit in the hundredths place (6) is greater than or equal to 5, add 1 to the digit in the tenths place (4)

1 + 4 = 5, so the digit in the tenths place becomes 5

The digit in the hundredths place is dropped

0.46 rounded to the nearest tenth (one decimal place) = 0.5

Answer:

24 trillion miles. The nearest-known exoplanet is a small, probably rocky planet orbiting Proxima Centauri – the next star over from Earth. A little more than four light-years away, or 24 trillion miles.

The number of miles in 4.25 light-years will be 24.986 × 10¹² miles.

Conversion means to convert the same thing into different units.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The nearest-known exoplanet from the earth is 4.25 light-years away.

We know that 1 lightyear = 5.879 × 10¹² miles.

Then the number of miles in 4.25 light-years will be

⇒ 4.25 light-years

⇒ 4.25 × 5.879 × 10¹² miles

⇒ 24.986 × 10¹² miles

The number of miles in 4.25 light-years will be 24.986 × 10¹² miles.

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The volume that the similar aquarium will hold is 400 cubic feet

Similar figures are figures that have similar angles and sides.

Given the following parameters

Volume of similar aquarium

Substitute into the formula

V/H = v/h

4000/10 = v/1

400 = v

v = 400 cubic feet

Hence the volume that the similar aquarium will hold is 400 cubic feet

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Answer:

(-2.5,-2.5)

Step-by-step explanation:

(-4+-1)÷2=-2.5

(-3+-2)÷2=-2.5

Answer:

(-7, -4)

Step-by-step explanation:

Equating A and B to the Midpoint (M) :

Equations formed :

    2. -2 + y / 2 = -3

Coordinates of B :

Answer: 21599373.37618

Step-by-step explanation:

Answer:

C neither

the coordinates shows that only the x intercepts are moving not y the line of the graph will be horizontal and straight . it is not a function

Based on the points given about the locations these trees are planted, the trees that will be planted exactly on the x-axis are (a) Amla and Mango.

When plotting a line on a graph, the points that will be found on the x-axis are those that will have a y coordinate of 0.

From the table given, both Mango and Amla have y coordinates of 0 which means that they will be planted exactly on the x-axis.

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Answer:

11

Step-by-step explanation:

First, you replace x with 2

5×2+1

Then multiplication comes before addition so 5×2

5×2=10

Then just add the 1

10+1=11

The values of the numbers m and n that makes the given expression true are 3 and 12 respectively

From the question, we are to determine the values of the numbers m and n that will make the given expression true

The given expression is

(2x + m)² = 4x² + nx + 9

Opening the bracket on the left hand side,

(2x + m)²

(2x + m)(2x + m)

4x² + 2mx + 2mx + m²

4x² + 4mx + m²

∴ 4x² + 4mx + m² = 4x² + nx + 9

By comparing,

4mx = nx;

Then, 4m = n

and

m² = 9

∴ m = ±√9

m = ±3

Since we are given that both m and n are positive numbers,

∴ m = 3

Substitute the value of m into the equation, 4m = n

4×3 = n

∴ n = 12

Hence, the values of the numbers m and n that makes the given expression true are 3 and 12 respectively

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The interquartile range for the given data is 1 quesadilla.

The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.

To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.

There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.

Since we know the median is 1, we can find the first quartile by finding the median of the following numbers:

0, 0, 1/4, 1/2, 1/2  (any number less than 1).

There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with the first quartile of 1/4.

Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "

1: 1, 1, 5/4, 2, 2.

Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with the third quartile of 5/4.

Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile.

5/4 - 1/4 = 4/4 = 1.

Therefore, the interquartile range is 1 quesadilla.

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Answer:

638 students.

Step-by-step explanation:

girl this is basic math i don’t  think i need to explain

By finding the magnitude and bearing, we conclude that the correct option is:

"about 29 miles at 25° south of west"

For a vector (x, y), the polar coordinates are the magnitude R and the bearing θ.

Such that:

[tex]R = \sqrt{x^2 + y^2} \\\\\theta = Atan(y/x)[/tex]

In this case, the original vector is (-26, -12), replacing that we get:

[tex]R = \sqrt{(-26)^2 + (-12)^2} = 28.6 \\\\\theta = Atan(-12/-26) = 24.7\°[/tex]

Where the angle is measured from the negative x-axis counterclockwise, so it is South of West.

Then we can describe this vector as:

"About 29 miles at 25° south of west".

The first option is the correct one.

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Answer:

  155 miles

Step-by-step explanation:

The sum of n terms of an arithmetic series is given by the formula ...

  Sn = (2·a1 +d(n -1))(n/2)

__

The number of miles Ryan ran in July is described by the arithmetic series ...

  0.5 +0.8 +1.1 +... (a total of 31 terms)

The first term is a1=0.5, and the common difference is d=0.3.

The total number of miles Ryan ran in July is ...

  S31 = (2(0.5) +0.3(31 -1))(31/2) = (1 +9)(31/2) = 155

Ryan ran 155 miles in July.

The quadratic regression equation of the table of values is y = 0.71x² - 5.04x + 3.76

The table of values is given as:

x: 0     1       2    3     4     5   6

y: 4.1 -0.9 -3.9 -5.1 -4.1 -4.1 -1.1

To determine the quadratic regression equation, we make use of a graphing calculator

From the graphing calculator, we have the following calculation summary:

a = 0.7, b = -5.04 and c = 3.76

A quadratic regression equation is represented as:

y = ax² + bx + c

Hence, the quadratic regression equation of the table of values is y = 0.71x² - 5.04x + 3.76

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Answer:

11

Step-by-step explanation:

volume of a prism = area of base × height

plug in what we are given

275 = 25 × height

==> divide both sides by 25

11 = height

Answer:

I don't know how to explain

Answer:

∠A≅∠X          AB≅XZ

∠B≅∠Z          AC≅XY

∠C≅∠Y          BC≅ZY

ΔABC≅ΔZYX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Based on the illustration given above, the feet that she now need to ascend to get back to sea level is 40.5.

Note that the first descend was 20.6 - 12.5 =

8.1 feet

Then she drop 32.4 feet again

So to get back up she need to add:

= 32.4 feet + 8.1 feet

= 40.5

Therefore, based on the calculation given above, the feet that she now need to ascend to get back to sea level is 40.5.

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The length of the rope remaining after Nick cut off a piece of the rope is 1 29/36 yards

Length remaining = 5/9 of original length

5/9 of 3 1/4

= 5/9 × 13/4

= 65/36

= 1 29/36 yards

Therefore, the length of the rope remaining after Nick ncur off a piece of the rope is 1 29/36 yards

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[tex]~~~~~~\text{Arc length} = r \theta \\\\\implies 4\pi = r\left( 45 \times \dfrac{\pi}{180} \right)~~~~~~~~;[\theta ~ \text{is in radians.}]\\\\\implies 4 = \dfrac{45r}{180}\\\\\implies 45r = 180 \times 4 = 720\\\\\implies r = \dfrac{720}{45}\\\\\implies r = 16~ \text{units.}\\\\\text{Now,}\\\\\text{Area} = \pi r^2\\\\~~~~~~~=\pi \cdot 16^2\\\\~~~~~~~=256\pi~ \text{units}^2[/tex]