Use mathematical
reasoning to explain how
someone can predict the
number of people that will
become infected based on
the number of days in
school.

Answer:

D.

Step-by-step explanation:

Bottom of the ladder is base, a = 3 ft

Top of the ladder from the ground is the perpendicular, b = 4 ft

We have to find the length of ladder, c = ?

So we'll use Pythagoras theorem

c² = a²+b²

c² = 3²+4²

c² = 9+16

c² = 25

Taking square root on both sides, we'll get

c = 5 feet

Answer:

Using pythagoras theorem

hypotenus^2=Adjacent^2+Opposite^2

H^2=3^2 + 4^2

H^2=9+16

H^2=25

H=square root of 25

H=5

Hope it helps.

The answer is 5 feet.

Answer:

Clue#1:  6x+4y=550

Clue #2:  1/2x+4y=1000

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

The first number will be x, and the second number y:

The sum of six times the first number and four times the second number is equal to 550

Six times the first number means that the first number must be multiplied by 6.(6x); the same for four times the second number (4x).

6x+4y=550

The sum of half the first number and four times the second number is equal to 1000

Half the first number means the first number (x) divided by 2,or multiplied by 1/2.  

1/2x+4y=1000

Answer:

I am not sure what to answer because you are a little unclear, but from what I can see, that means that there would be 14 normal card, and 2 marked cards. I am not sure what you are trying to find, but I am going to assume that you  are trying to find the probability of chossing the marked cards. If you are trying to find the prob. of pulling just one of the cards, then it would be 2/14, or 1/7. If you are seeking the probability of getting both cards, without replacement, then I dont know.

Step-by-step explanation:

Answer:

B

Explanation:

Matches all the points on the graph

Answer:

B (the answer selected in the picture)

Step-by-step explanation:

The points in Quadrant 1:

~from left to right~

(2, 0)

(3, 3)

(4, 5)

The point in Quadrant 2:

(-5, 4)

The points in Quadrant 3:

~from left to right~

(-3, -2)

(-1, -2)

The point in Quadrant 4:

(6, -4)

All of these points are listed in the second answer choice; therefore this answer is correct.

Answer:

15.6 feet

Step-by-step explanation:

The total length of the two wires for planting the sapling is L = 15.6 feet

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the total length of the two wires for the sapling be L

Now , let the triangle be represented as ΔABC

where the base of the triangle BC = 5 feet

The height of the triangle AB = 6 feet

And , the hypotenuse of the triangle AC = length of one wire

So , L = 2 ( AC )

On simplifying , we get

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

The length of 2 wires = 2AC = 2√ ( AB )² + ( BC )²

The length of 2 wires = 2AC = 2√ ( 6 )² + ( 5 )²

The length of 2 wires = 2AC = 2√ ( 36 + 25 )

The length of 2 wires = 2AC = 2√61

On further simplification , we get

The length of 2 wires = 2AC = 2 x 7.8

The length of 2 wires = 2AC = 15.6 feet

Hence , the length of the wires for the sapling is 15.6 feet

To learn more about triangles click ;

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Answer:

Domain : x ∈ Real Numbers

Range : y ≥ 30

Step-by-step explanation:

The given equation is:

[tex]y^2-9x^2=900[/tex]

Simplifying it

[tex]\frac{y^2}{900}-\frac{9x^2}{900}=\frac{900}{900}\\\frac{y^2}{900}-\frac{x^2}{100}=1\\\frac{y^2}{30^2}-\frac{x^2}{10^2}=1[/tex]

Where Standard equation of parabola is:

[tex]\frac{y^2}{a^2}-\frac{x^2}{b^2}=1[/tex]

Which are similar. Conic Section is a parabola.

Simplify the given equation:

[tex]y^2-9x^2=900\\y=\sqrt{9x^2+900},y=-\sqrt{9x^2+900}\\y=3\sqrt{x^2+100},y=-3\sqrt{x^2+100}[/tex]

For whatever value of x, term under the square root always remains positive, so

Domain : x ∈ Real Numbers

For minimum value of x i.e 0, y=30. If we increase x, y also increases. So

Range : y ≥ 30

Answer:

The symmetric property of congruence is:

If ∠A ≅ ∠B, then ∠B ≅ ∠A.

If, AB ≅ CB, then CB ≅ AB.

Step-by-step explanation:

Two triangles are said to be congruent if they have the same three sides and the same three angles, not necessarily the same sides or the same angles are equal.

The properties of congruence are:

For all angles A, ∠A ≅ ∠A. That is, all angles are congruent to themselves.

If AB is side of a triangle then, AB ≅ AB.

For any angles A and B if, ∠A ≅ ∠B, then ∠B ≅ ∠A.

For sides AB and CB of a triangle if, AB ≅ CB, then CB ≅ AB.

For any angles A, B and C if, ∠A ≅ ∠B, and ∠B ≅ ∠C then ∠A ≅ ∠C.

For sides AB, CB and CA of a triangle if, AB ≅ CB, and CB ≅ CA, then AB ≅ CA.

Thus, the symmetric property of congruence is:

If ∠A ≅ ∠B, then ∠B ≅ ∠A.

If, AB ≅ CB, then CB ≅ AB.

Answer:

Graph A ; Option B

Step-by-step explanation:

Consider the criteria for the graph;

[tex]Criteria;\\\\Crosses Y - axis at Point - ( 0, - 7 ),\\Decreases Before Crossing Y - axis,\\Remains Constant after Crossing Y - axis,\\[/tex]

Now take a look at each option before us;

[tex]Graph A - \\1. Travels Down,\\2. Crosses Y - axis at Point ( 0, - 7 )\\3. Remains Constant\\\\Graph B - \\1. Travels Upward,\\2. Crosses Y - axis at Point ( 0, 7 )\\3. Remains Constant\\\\Graph C - \\1. Travels Down,\\2. Crosses Y - axis at Point ( 0, - 7 )\\3. Travels Upward[/tex]

Comparing the three, we conclude that Graph A meets the provided criteria, which confirms that it is the right answer;

[tex]Solution ; Graph A[/tex]

C Graph A is your answer

Answer:

x ≈ - 1.28

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

ln(x + 4) = 1 , then

x + 4 = [tex]e^{1}[/tex] ( subtract 4 from both sides )

x = [tex]e^{1}[/tex] - 4 = - 1.28 ( to the nearest hundredth )

Answer:

D

Step-by-step explanation:

well the are obviously not parallel perpendicular line are right angled and the intersect so they are not skew lines

Answer: [tex]t=\dfrac{250}{x}[/tex]

Step-by-step explanation:

Given

Jose drives [tex]300\ miles[/tex]

In first 150 miles he 1.5 times faster than the second half

Let [tex]x (miles/hr)[/tex] be the speed on the second half so

in first half speed is [tex]1.5x[/tex]

time taken in first half [tex]t_1=\dfrac{\text{Distance}}{\text{speed}}[/tex]

[tex]\Rightarrow t_1=\dfrac{150}{1.5x}[/tex]

For second half

[tex]\Rightarrow t_2=\dfrac{150}{x}[/tex]

Total time [tex]=t_1+t_2[/tex]

[tex]t=\dfrac{150}{1.5x}+\dfrac{150}{x}[/tex]

[tex]t=\dfrac{250}{x}\ hr[/tex]

Answer:

∠ A ≅ ∠ F

Step-by-step explanation:

Given that the triangles are congruent, then corresponding angles are congruent, that is

∠ A ≅ ∠ F

∠ B ≅ ∠ E

∠ C ≅ ∠ D

The correct statement from the list is therefore ∠ A ≅ ∠ F

Easy claps!

Answer: D) y = 2(5)^x

Step-by-step explanation: 2=2(5)^0 1250=2(5)^4

IT's basic prealgebra!

Answer:

D

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

5 x 4 x 3=60

Answer:

24 ways

Step-by-step explanation:

4x3x2

12x2

24

Answer:

Choice A (x=5)

Step-by-step explanation:

You can get you answer either by using the 3-4-5 Triangle Rule or the Pythagorean theorem ([tex]a^{2} +b^{2} =c^{2}[/tex])

Using the Pythagorean theorem:

Begin by plugging in 4 into a and 3 into b

[tex]4^{2} +3^{2} =c^{2}[/tex]

[tex]16 +9 =c^{2}[/tex]

[tex]c^{2}= 25[/tex]

Then, find the square root of each side

[tex]\sqrt{c^{2} } =\sqrt{25}[/tex]

[tex]c =5[/tex]

Choice A (x = 5) is your answer

Answer:

A. x=5

Step-by-step explanation:

This triangle is a right triangle. We know this because of the little square in the corner that represents a right angle. Therefore, we can use Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

We know that 4 and 3 are the legs, because they form the right angle. We also know that x is the hypotenuse, because it is opposite the right angle.

a=4

b=3

c=x

Substitute these values into the formula.

[tex]4^2+3^2=x^2[/tex]

Evaluate the exponents.

4^2 is the same as 4*4, which is 16.

3^2 is the same as 3*3, which is 9.

[tex]16+9=x^2[/tex]

Add 16 and 9.

[tex]25=x^2[/tex]

We are trying to find x, which means we have to get x alone. x is currently being squared. To undo this, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.

[tex]\sqrt{25}=\sqrt{x^2}[/tex]

[tex]\sqrt{25}=x[/tex]

[tex]5=x[/tex]

Therefore the correct answer is A: x=5

Answer:

x = 5/2       x = -4

Step-by-step explanation:

2x^2 + 3x – 20 = 0

Factor

(2x -5) (x+4) = 0

Using the zero product property

2x-5 =0     x+4 = 0

2x=5           x = -4

x = 5/2       x = -4

Answer:

Indirect Variation

Step-by-step explanation:

Answer:

-7≤x≤7

Step-by-step explanation:

The domain is the input values

X goes from -7 to 7 inclusive

Answer:

Square root of four is 2 and two to the 12th power I hope that helps

____________________________________

Hey!!!

Solution,

X+68.5+49.5=180(sum of angle of triangle)

or,X+118=180

or,X=180-118

X=62 degree

Hope it helps

Good luck on your assignment

Stay safe....

___________________________________

Answer:

Part B is 1/4

Step-by-step explanation:

From the letter a), we have 8 possible options. From these options, we have 2 that have turkey and ketchup (WTK and BTK), so the probability is the number of options we want over the total number of options:

P = 2/8 = 1/4

Types of sandwiches Hugo could make

a) WCK, WTM, WTK, BCM, BCK, BTM, BTK.

A fraction of the possible types of sandwiches have Turkey and Ketchup

b) 1/4

a) For this answer we just need to write all possibilities of sandwiches, so we can use the options given to create all the sandwiches, besides the one given:

(WCM given), WCK, WTM, WTK, BCM, BCK, BTM, BTK.

b) From the letter a), we have 8 possible options. From these options, we have 2 that have turkey and ketchup (WTK and BTK), so the probability is the number of options we want over the total number of options:

P = 2/8 = 1/4

To learn more about algebra

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Answer:

-10=m+(-15)

or,-10=m-15

or,-m=-15+10

or,-m=-5

m=5

Hope it helps

Good luck on your assignment

Answer:

[tex]m = 5[/tex]

Step-by-step explanation:

[tex] - 10 = m + ( - 15) \\ - 10 = m - 15 \\ - 10 + 15 = m \\ m = 5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

b

Step-by-step explanation:

Answer: B

Step-by-step explanation: the similar paper appears to be 2 times larger then Fransicos since 38/19=2, so I did 14 1/3*2 which equals 28 2/3, so the answer is B

Answer:[tex]28\frac{2}{3}[/tex]

Answer:

3 7/8 inches high

Step-by-step explanation:

You convert mixed numbers into improper fractions and use the LCM property in order to add all the numbers together

OK i was right the first time

I hope this helped and I hope it is right:)

I know you're looking for an answer but in doing a challenge where i have to answer 10 questions by the end of today, I'm sorry! :(

Answer: median is 22.5

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

median means middle and because there is 4 digits, you have to find the middle of 22 and 23 which is 22.5