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Each day a supernatural termite can eat 35% more wood grains that it did the day before. If a 20-day old termite has eaten 97,231 grains of wood, how many wood grains (to the nearest grain) will it eat on the 22nd day?

A) 84 grains
B) 130,745 grains
C) 176,589 grains
D) 235,768 grains

Answer:

Probability[First marble blue, second is green without replacement] = 1/12

Step-by-step explanation:

Given:

Number of green marble = 3

Number of red marble = 4

Number of blue marble = 2

Total marble = 9 marble

Find:

Probability[First marble blue, second is green without replacement]

Computation:

Probability of an event = Number of favorable outcome / Number of total outcome

Probability[First marble blue] = 2 / 9

Probability[second is green] = 3 / [9-1]

Probability[second is green] = 3 / 8

Probability[First marble blue, second is green without replacement] = Probability[First marble blue] x Probability[second is green]

Probability[First marble blue, second is green without replacement] = [2/9][3/8]

Probability[First marble blue, second is green without replacement] = 6 / 72

Probability[First marble blue, second is green without replacement] = 1/12

Answer:

See Explanation

Step-by-step explanation:

See attachment for illustration

(a) Right triangle

The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:

[tex]x + y + 90 = 180[/tex]

Subtract 90 from bot sides

[tex]x + y = 90[/tex]

Make x the subject

[tex]x = 90 - y[/tex]

Make y the subject

[tex]y = 90 - x[/tex]

This implies that, subtract the known angle from 90 to get the unknown angle.

Assume [tex]x = 40[/tex]

We make use of: [tex]y = 90 - x[/tex]

[tex]y = 90 - 40 = 50[/tex]

(b) Isosceles triangle

The sum of angles in an isosceles triangle is:

[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal

[tex]x + 2y = 180[/tex]

Make x the subject

[tex]x = 180 - 2y[/tex]

Make y the subject

[tex]y = \frac{180 - x}{2}[/tex]

Assume [tex]x = 40[/tex], we make use of:

[tex]y = \frac{180 - x}{2}[/tex]

[tex]y = \frac{180 - 40}{2}[/tex]

[tex]y = \frac{140}{2}[/tex]

[tex]y = 70[/tex]

Assume [tex]y = 70[/tex], we make use of:

[tex]x = 180 - 2y[/tex]

[tex]x = 180 - 2 * 70[/tex]

[tex]x = 180 - 140[/tex]

[tex]x = 40[/tex]

Answer:

Step-by-step explanation:

The surface area of a prism is a sum of areas of all of its faces

2×(¹/₂×16×15) + 2×(17×19) + 16×19 =

= 240 + 646 + 304 = 1190 mm²

Answer:

10070//B

Step-by-step explanation:hope this helps <3

Answer:

Mansah obtained 150 mark out of 240 mark in an English test .what was her percentage score

c = 22.3 km

Step-by-step explanation:

You can solve this problem using cosine law:

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \gamma ) [/tex]

where a and b are the legs of the triangle, c is the unknown length and the angle gamma is the angle opposite length c. We know that

a = 50 km

b= 52.4 km

gamma = 25°

c^2 = (50 km)^2 + (52.4 km)^2 -2(50)(52.4)cos25°

= 496.707 km^2

or

c = 22.3 km

Answer:

quadrant  2   the last  option

Step-by-step explanation:

hope this helps!

Answer:

10/3 or 3 1/3

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]

Jillian and Francis both earned the same total score. I used commutative property of addition to find the answer.

Francis: 86, 84, 90 ---> 84,86,90

Jillian: 84, 90,86---> 84,86,90

I hope this helps, have a great day!

Answer:

28 miles per gallon

560/20=28

Step-by-step explanation:

Plz give me brainliest

Number of miles a car travels are 28.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Number of gallons of gas = 20

A car with 20 gallons of gas can drive 560 miles

Based on the given conditions,

= [tex]\frac{560}{20}[/tex]

= 28

Hence, number of miles are 28.

Find out more information about division here

https://brainly.com/question/10850080

#SPJ2

Answer:

Obtuse.

Step-by-step explanation:

If we have a vector v = (a, b, c)

The magnitude of the vector is:

|v| = √(a^2 + b^2 + c^2)

And the dot product of two vectors:

v = (a, b, c)

w = (c, d, e)

is:

v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e

With that relation, we can find the angle between the two vectors.

In this case, we have:

v = ⟨−1,0,1⟩

then:

|v| = √( (-1)^2 + 0^2 + 1^2) = √2

And:

w = ⟨4,5,2⟩

then:

|w| = √( 4^2 + 5^2 +2^2) = √116

Then:

v.w = (√2)*(√116)*cos(θ) =  (-1)*(4) + 0*5 + 1*2

(√2)*(√116)*cos(θ) = -4 + 2 = -2

(15.23)*cos(θ) = -2

cos(θ) = -2/15.23

θ = Acos( -2/15.23) = 97.5°

Then the angle is larger than 90°, so the angle is obtuse.

Answer:

{-1, 10}

Step-by-step explanation:

Next time please share the entire set of instrutions.

x^2 - 9x - 15 = -5 should be rewritten in standard quadratic form:

x^2 - 9x - 10 = 0 = (x - 10)(x + 1) = 0.

Setting each factor equal to zero and then solving for x yields {-1, 10}

Answer:

{-1,10}

Step-by-step explanation:

[tex]x^2-9x-15=-5[/tex]   given

[tex]x^2-9x-10=0[/tex]   addition property of equality

[tex]x^2+(x-10x)-10=x^2+x-10x-10=0[/tex]   x-10x = -9x

[tex]x(x+1)-10(x+1)=0[/tex]   distributive property ( x( y + z ) = xy + xz

[tex](x-10)(x+1)=0[/tex]   distributive property (backwards)

[tex]x-10=0;x=10;x+1=0;x=-1[/tex]   at least one factor of 0 has to be 0

{-1,10}

Answer:

[tex]x=\frac{7}{15}[/tex]

Step-by-step explanation:

[tex]5x-\frac{1}{5} =\frac{7}{3}[/tex]

[tex]5x - \frac{3}{15} = \frac{35}{15}[/tex]

[tex]5x - \frac{3}{15} + \frac{3}{15} = \frac{35}{15} + \frac{3}{15}[/tex]

[tex]5x=\frac{35}{15}[/tex]

[tex]\frac{5x}{5} } =\frac{\frac{35}{15}}{5}[/tex]

[tex]x=\frac{7}{15}[/tex]

Answer:

571

Step-by-step explanation:

We solve using z score.

z = (x-μ)/σ, where

x is the raw score = ?

μ is the population mean = 480

σ is the population standard deviation = 70

z = 1.3

Hence,

= 1.3 = x - 480/70

Cross Mulitiply

1.3 × 70 = x - 480

91 = x - 480

x = 480 + 91

x = 571

Therefore, Marulla's raw score is 571

Answer:

-525 it is now 525 below sea level

Step-by-step explanation:

I'm kinda confused the question is weird to me so I don't know if this is right

Answer:

Length will be 173

Step-by-step explanation:

Answer:

[tex]8x\sqrt{5x}[/tex]yz

Step-by-step explanation:

before you plug in this answer, is your correct equation [tex]\sqrt{320x^3} yz[/tex] or [tex]\sqrt{320x^3yz}[/tex]

Answer:

B.) -9

Step-by-step explanation:

The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

The standard equation of a function in vertex form is given as:

f(x) = (a + x)^2 + h

Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:

3/2= -b/2a

-b/2(3)=3/2

-b/6=3/2

Cross multiply

-2b = 18

-b=9

Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

Learn more on axis of symmetry here: https://brainly.com/question/21191648

Answer:

x=27

Step-by-step explanation:

You want to isolate the variables so you subtract 5 from both sides. Therefore the equation will be 2/3x-1/9x=15. You want to take away the fraction because no one likes fractions. You have to multiply everything by 9. Therefore, the equation will be 6x-x=135. 5x=135. You want to isolate x so you have to divide each side by 5. x=135/5. Simplify to get x=27.

If this has helped you please mark as brainliest

ahem ahem

2+2=69

it's 4 thanks for the points

Answer:

The number you would add to both sides of the equation to use the "Completing the Square" method would be 16.

Step-by-step explanation:

To find the number to add to both sides of an equation to complete the square, divide the first-degree term's coefficient by 2 and square your remainder. In this case, the coefficient of the first-degree term is -8. After dividing by 2 and squaring it, you'll get 16, so that is the number you must add to both sides of the equation in order to complete the square.

Answer:

give him brainliest

Step-by-step explanation:

lol

Answer:

2x + 2y = -2

Step-by-step explanation:

you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions

Answer:

It means you multiply the number by that variable.

Step-by-step explanation:

This is used to shorten the equation with a variable.  For example, 2c means 2 times c.  6y means 6 times y.