According to this factor tree, which of the following statements is true?

According To This Factor Tree, Which Of The Following Statements Is True?

Answers

Answer 1

Answer:

option c

Step-by-step explanation:

a) NOT TRUE

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

3 and 7 are not composite numbers because each of them can only be divided by one and itself

b) NOT TRUE

2 is also a prime number so 3 and 7 are not the only numbers

c) TRUE

All the number listed are prime numbers hence why they are all at the bottom of the tree (only have 1 and itself as factors)

d) NOT TRUE

21 is not a prime number. The number 21 is divisible by 1, 3, 7, 21. For a number to be classified as a prime number, it should have exactly two factors. Since 21 has more than two factors, i.e. 1, 3, 7, 21, it is not a prime number.


Related Questions

Does the table below represent a function? Why or Why Not?

Answers

Answer:

A.

Step-by-step explanation:

For the x value (6) there are two different output values(y) 5 and 6.

If it's a function then there must be one output value for every input.

The answer is A even though someone else already answered :)

A die has six sides, with the numbers 1, 2, 3, 4, 5, and 6. What is the probability of rolling a number greater than 2? ​

Answers

Answer:

1/2

Step-by-step explanation:

There are 3 numbers greater than 2: 3, 4, 5, and 6. There are 6 numbers, so it is 3/6=1/2.

It cost Makayla $2.80 to send 28 text messages. How much would it cost to send 163 text messages?

Answers

Answer:

$16.30

Step-by-step explanation:

Hope this helps! Have a great day!!

The cost of 163 text messages is $16.3

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Let's start with finding the price of one ice cream. Divide the entire cost of ice cream by the total number of ice creams to get at that. A single ice cream will cost you 125 divided by the amount of ice creams, or 25 cents. Consequently, 1 ice cream costs $25.Step 2: To calculate the price of three ice creams, multiply the price of one ice cream by the quantity. Cost of 1 ice cream x number of ice creams = 25 x 3 = $75 is the price of 3 ice creams. The final cost is $75, which is the price of three ice creams.

Given:

price for 28 text messages = 2.80

So, price for 1 text messages = 2.80/ 28

                                                = $ 0.1

Now, the price for 163 messages = 163 * 0.1

                                                       = $16.3

Hence, the price for 163 text messages be $16.30.

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use decomposition to find the area of the figure

Answers

the area of the diamond equals to the small diameter times the big diameter divided by 2 so we have:
6.12/2 => 36cm

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the
police station and the fire station. The distance between the library and the police station is 5 miles. How far apart
are the police station and the fire station?
O 1 mile
O 3 miles
O4 miles
O6 miles

Answers

Answer:

C. 4 miles

Step-by-step explanation:

Let the distance between police station and the fire station be x.

According to question we have:

the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station,the distance between the library and the police station is 5 miles.

It can be expressed as:

5 = 2x - 3

Solve the equation for x:

2x = 5 + 32x = 8x = 4

Correct choice is C

The number scale used on this map is 1:10 000 000 explain what this scale means?

Answers

Answer:

1 unit on the map is equivalent to 10 000 on the ground or reality

A school had a lot of problems with
student absences and wanted to try a
intervention program to see if it
encouraged students to come to school
more often. As a trial, 20 students were
split into two equal size groups. Group 1
would get the new intervention and
Group 2 got no intervention. The mean-
number of absences was calculated after
one month for each group, as shown in
the table below. What inference can be
made about the results?

Answers

The inference is that the results of the study are statistically significant.

How to make the inference about the results?

For group 1, we have:

Mean = 1.7

For group 2, we have:

Mean = 3.3

The mean of group 2 is greater than group 1, and the mean difference is:

Difference = 3.3 - 1.7

Evaluate

Difference = 1.6

Based on the sample values, the mean difference of 1.6 is significant.

Hence, the inference is that the results of the study are statistically significant.

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(Refer to the attached image)​

Answers

Answer:  9 meters

===========================================

Work Shown:

side a = 8side b = 5angle C = 88 degrees

Applying the law of cosines

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 8^2 + 5^2 - 2*8*5*cos(88)

c^2 = 64 + 25 - 80*cos(88)

c^2 = 86.2080403

c = sqrt(86.2080403)

c = 9.2848285

c = 9

Technically he needs 10 meters of rope because of the extra 0.28 portion, but I'll stick with 9 meters since your teacher said to round to the nearest whole number.

Don’t know how to solve

Answers

Answer:

Θ ≈11.31°

Step-by-step explanation:

the model is a right triangle with side opposite being the height and side adjacent the horizontal length , in relation to angle Θ , then

using the tangent ration

tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{20}[/tex] , then

Θ = [tex]tan^{-1}[/tex] ( [tex]\frac{4}{20}[/tex] ) ≈ 11.31° ( to 2 dec. places )

The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2). determine the lengths of the outside edges of the garden. write your answer in
simplest form.

Answers

The length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.

What is the scale factor?

In mathematics, a scale factor is the proportion of related dimensions of an object to a description of that object.

Given that:-

The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2)

The length and width of the outside edge will be:-

The sides are Dilated by factor 3 so the edges of the rectangle will be calculated as;-

Length = 3 ( 2x+4 ) = 6x + 12

Width   = 3 ( 3x+2 ) = 9x + 6

Therefore the length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.

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In a lab, a substance was cooled by 6 degrees celsius each hour for 12 hours.
The total change in temperature was what?

Answers

Answer:

72 degrees 72° Celsius. It changed by 72 degrees.

Step-by-step explanation:

6 * 12 because it changed 6 degrees each hour for 12 hours

6 *

12

—-

72

Answer:

72 degree Celsius

Step-by-step explanation:

Since every hour the temperature is cooled by 6⁰C and the total time spent was 12 hour we can do a simple multiplication shown:

6 * 12 = 72

(04.01 MC)
The tables show some input and output values:
Table A
Table B
Input Output
Input Output
1
7
6
1
2
9
7
3
3
7
2
4
5
8
5
Which tables represent functions?
O Only A
O Only B
O Both A and B
ONeither A nor B

Answers

Answer:

table a represents functions table b does not

i like cheese burger do u liek cheese burgers 2+2+12-21+492

Answers

Yes bananannanejdjdbe evehsosnsbscwhwje shekels s

2+7x1232 = what pls help its matth

Answers

Answer:

8626

Step-by-step explanation:

use a calculator in instead of here this was a EZ question but thanks for the points and if you have a harder question i'll be waiting

Answer: 8,626

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition  

Subtraction

Multiplication comes first:

2+ (7x1232)

Next, addition:

2+8624

8626

Hope this helps :)) Brainliest would be appreciated :D

A triangle cannot have one obutse angle and one right angle. True or flase?

Answers

Answer:

No

Step-by-step explanation:

Since an equilateral triangle has equal sides and angles, each angle measures 60°, which is acute. Therefore, an equilateral angle can never be obtuse-angled. A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute.

Answer:

false

Step-by-step explanation:

In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.

Answers

Answer: 5

Step-by-step explanation:

Since [tex]\overline{GH} \parallel \overline{DE}[/tex], by the corresponding angles theorem, [tex]\angle FGH \cong \angle FDE, \angle FHG \cong \angle FED[/tex]. This means [tex]\triangle FGH \sim \triangle FDE[/tex] by AA.

As corresponding sides of similar triangles are proportional,

[tex]\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5[/tex]
However, as distance must be positive, we consider the positive solution, x=5.

Therefore, the answer is 5

Which of the following choices lists the values of the side lengths of a triangle with 45-45-90 degree angles and a hypotenuse = 24?
√2, √2, 24
24√2, 24√2, 12
24, 24, 24√2
12√2, 12√2, 24

Answers

The sides of the triangle are (d) 12√2, 12√2, 24

How to determine the side lengths?

The given parameters are:

Hypotenuse = 24Angle = 45-45-90 degree angles

In a 45-45-90 degree angle triangle, we have:

Hypotenuse = Opposite√2 and Hypotenuse = Adjacent√2

This means that:

Opposite =Adjacent

So, we have:

24 = Adjacent√2

Divide both sides by √2

Adjacent = 24/√2

Evaluate

Adjacent = 12√2

This means that:

Opposite = 12√2

Hence, the sides of the triangle are (d) 12√2, 12√2, 24

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you deposit a check for $254.67 into your savings account. Your account has a balance of $419.33 after the deposit. Find the balance of your savings account before the deposit.

Answers

Answer:

$164.66

Step-by-step explanation:

Just subtract them from each other

4 x2-5x-6=0 quadratic form

Answers

Step-by-step explanation:

[tex]4 {x}^{2} -5x-6=0 [/tex]

Solve using quadratic formula

Solution:

We know that

[tex] \rm \: Quadratic \: Formula = \cfrac{ - b± \sqrt{ {b}^{2} - 4(ac) } }{2a} [/tex]

ATQ,here,

a = 4b = -5c = -6

Substitute the values into the quadratic formula.

[Let Quadratic Formula = x]

[tex]\rm\implies x = \cfrac{5 ± \sqrt{( - 5) {}^{2} - 4 \times (4 \times - 6) } }{2 \times 4} [/tex]

[tex]\rm\implies{x} = \cfrac{5 ± \sqrt{25 - 4 \times (24) } }{2 \times 4} [/tex]

[tex] \implies \rm \: x = \cfrac{5 ± \sqrt{25 - 96} }{8} [/tex]

[tex] \implies \rm \: x = \cfrac{5± \sqrt{121} }{8} [/tex]

[tex] \implies \rm \: x = \cfrac{5± \sqrt{11 \times 11} }{8} [/tex]

[tex] \implies \rm \: \: x = \cfrac{5±11}{8} [/tex]

The answer will be the combination of both solutions

[tex]\boxed{x = 2}[/tex]

OR

[tex]x = \boxed{- \cfrac{3}{4}} [/tex]

A baseball is thrown into the air from a height of 5 feet. the ball reaches a maximum height of 43.5 feet and spends a total of 3.2 seconds in the air. which equation models the height of the baseball? assume that acceleration due to gravity is –16 ft/s2. h(t) = 16t2 49.64t 5 h(t) = -16t2 5t 49.64 h(t) = -16t2 49.64t 5 h(t) = 16t2 5t 49.64

Answers

The equation that models the height of the baseball is determined as H(t) = 5 + 49.64t -16(t)².

Maximum height reached by the base ball

The maximum height reached by the baseball is calculated as follows;

H = y₀ + v₀yt + ¹/₂gt²

Assuming negative direction for upward motion

H = y₀ + v₀yt - ¹/₂gt²

0 = y₀ + vt -16(t)²

0 = 5 + 3.2v - 16(3.2)²

0 = 5 + 3.2v - 163.84

3.2v = 158.84

v = 158.84/3.2

v = 49.64

Required equation model

H(t) = 5 + 49.64t -16(t)²

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Answer:C?

Step-by-step explanation:

edge

Rachel rides her bike due east at 9 miles per hour. Amos rides his bicycle due north at 12 miles per hour. If they left from the same point at the same time, how far apart will they be in 1 hour? Geometry and measurement :))) help please.

Answers

They will be 15 miles apart after one hour if they left the same point at the same time.

How do we measure and calculate the distance in Geometry?

The distance between two points in geometry can be calculated by using the Pythagoras theorem.

Mathematically, the Pythagoras theorem can be expressed as:

[tex]\mathbf{d = \sqrt{x^2 +y^2}}[/tex]

where;

x and y are opposite and adjacent sides respectively.

[tex]\mathbf{d = \sqrt{(9)^2 +(12)^2}}[/tex]

[tex]\mathbf{d = \sqrt{81+144}}[/tex]

[tex]\mathbf{d = \sqrt{225}}[/tex]

d = 15 miles  

Therefore, we can conclude that they will be 15 miles apart after one hour if they left the same point at the same time.

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A researcher wishes her patients to try a new medicine for depression. how many different ways can she select 5 patients from 50 patients?

Answers

There are 2118760 ways to select 5 patients from 50 patients.

What is Combination?

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.

Here, Total patients= 50

         Number of selection is to made = 5

So, total ways of selection = ⁵⁰C₅

                                           = (50X49X48X47X46) / (5X4X3X2X1)

                                          = 2118760 ways

Thus, There are 2118760 ways to select 5 patients from 50 patients.

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Answer:

2118760

Step-by-step explanation:

She can select 5 patients from 50 patients in :

[tex]50c_{5}[/tex]

=  [tex]\frac{50!}{5! (50-5)!}[/tex]

=   [tex]\frac{50!}{5! 45!}[/tex]

= 50 x 49 x48 x47 x46 x45!

= 2118760

Hello i need help ASAP i cant figure this out its just like part A
and i i have 1 hour

Answers

Number of unmarked wolves: 928 - 232 = 696


probability of next wolf being unmarked = 696 / 928 = 0.75

0.75 x 100 = 75%

Answer: 75%

Construction This section of a concrete skateboard ramp has the shape of a triangular prism. Find the volume
of the triangular prism. Find the value of the concrete used in the ramp if the cost of concrete is $4.00 per cubic
foot.

Answers

Answer:

volume = 73.3ft³

value = $194.4

Step-by-step explanation:

volume of prism = (½bh)l

=(½×4×4)×9.2

=73.6ft³

value of concrete

1ft³ : $4.00

73 .6ft³ : X

X : (73.6ft³ × $4.00) ÷ 1ft³

X : $294.4

Solve for the value of s.
(s+1)°
(2S-1)°

Answers

Answer

90*

Step-by-step explanation:

Answer:

s = 30

Step-by-step explanation:

The three angles lie on a line.

The sum of angles on a line are supplementary, meaning they add up to 180 degrees.

s + 1 + 90 + 2s - 1 = 1803s = 90s = 30

the prom committee is made up of 8 boys and girls. If there are 12 boys and 15 girls in the group to pick the committee from, how many ways can the committee be organized?

1). 1860 ways

2). 3185325 ways

3). 2220075 ways

4). 675675 ways

Thanks guys!!

Answers

The number of ways can the committee be organized will be 2220075. Then the correct option is 3.

What are permutation and combination?

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

The prom committee is made up of 8 boys and girls.

If there are 12 boys and 15 girls in the group to pick the committee from.

Then the number of ways can the committee be organized will be

Then the number of ways is given by the combination formula. Then we have

Number of ways = ¹²C₀ x ¹⁵C₈ + ¹²C₁ x ¹⁵C₇ + ¹²C₂ x ¹⁵C₆ + ¹²C₃ x ¹⁵C₅ + ¹²C₄ x ¹⁵C₄ + ¹²C₅ x ¹⁵C₃ + ¹²C₆ x ¹⁵C₂ + ¹²C₇ x ¹⁵C₁ +¹²C₈ x ¹⁵C₀

Number of ways = 6435 + 77220 + 330330 + 660660 + 675675 + 360360 + 97020 + 11880 + 495

Number of ways = 2220075

Thus, the correct option is 3.

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7. The perimeter of a circle of diameter 10 cm is-
(a) 30.4 cm. (b) 30.14 cm
(c) 31.4 cm. (d) 30.01 cm.
(Take π = 3.14)​

Answers

Solution -:

[tex]\qquad\qquad\qquad\boxed{\bf\:\:{(c) \: 31.4 \: cm \: ans \: }}[/tex]

Explanation -:

The diameter is = 10 cm

( Take π = 3.14 )

[tex] \\ \: \tt :\implies \: 10 \: \times 3.14 \\ \\ 31.4 \: ans[/tex]

More Information -:

Area of circle= πr²

Circumference= 2 πr

π = 22/7 or 3.14 ( approx )

Annulas = π(R² - r ²)

If you wanted to make the graph of y=3x+1 steeper which equation could you use

Answers

Answer:

Increase the slope

Step-by-step explanation:

The slope of this line is '3' ......a steeper line has a higher number than '3' in front of the 'x'    like    y = 4x+3      or      y = 7x + 12

If a line has a slope of 2 and contains the point (-2, 1), what is its equation in
point-slope form?

A. y +2=-2(x-1)
B. y-2 =-2(x-1)
C. y-1=2(x-2)
D. y- 1 = 2(x+ 2)

Answers

Answer:

D

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 2 and (a, b ) = (- 2, 1 ) , then

y - 1 = 2(x - (- 2)) , that is

y - 1 = 2(x + 2)

What are two possible measures of the angle below? ​

Answers

Answer: 90° or 270°

Explanation: If you measure the smaller angle formed it will be 90 but if you measure the larger angle it will be 270 (360 - 90 = 270)
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