Answer:16X + 24 D
Step-by-step explanation:
Length of rectangle = 3(2X + 3) = 6X +9
Width = 2X + 3
Perimeter = 2(Lengtb + Breadth)
= 2(6X +9) + 2(2X +3)
3. a Paul is thinking of a number that is greater than 10 and less than 20. What is the probability
that the number is not a prime number? Express your answer as a fraction only.
The probability that the number is not a prime number is 5/9.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Paul is thinking of a number that is greater than 10 and less than 20.
So, the prime number between 10 and 20 are 11, 13, 17, 19.
So, the probability that the number is not a prime number
= ( 9- 4)/ 9
= 5/9
Hence, the probability that the number is not a prime number is 5/9.
Learn more about Probability here:
https://brainly.com/question/11234923
#SPJ2
Find the value of x.
86
34°
X
x = [?]°
X
Answer:
in a triangle the sum of angles is 180
so 180-(86+34)=60
∆DEF is similar to ∆ABC and the scale factor from ∆ABC to ∆DEF is 2. In ∆ABC, the largest angle measures 82º. Which measurements below could represent the largest angle in ∆DEF? Select all that apply.
Answer:
B
Step-by-step explanation:
the scale factor of 2 means the sides of Δ DEF are twice those of Δ ABC.
However, corresponding angles remain congruent , then
largest angle in Δ DEF is also 82°
which figure is a convex polygon?
Answer:
A.
Step-by-step explanation:
Convex polygon
A polygon is a figure that has no curved lines. A convex polygons has no "caves."
In this instance, answer choices B, C, and D all have curved lines which means that they aren't polygons. Additionally, as an example of a concave polygon, answer choice D creates a sort of "cave."
Therefore, answer choice A is a convex polygon.
Hope this helps!
1. Make Sense of the Task
2. Representing & Solving the Task
3. Accuracy
4. Communicating & Reasoning
5. Proof of work! You can redo it the same way OR even better, use a totally different method!!
Work Sample Question:
Farmer John has a rectangular holding pen that measures 10 yards long and
5 yards wide to contain his cattle. He is acquiring more cattle from the
neighboring farmer and wants to add the same amount of fencing to each
side to create a new holding pen that encloses 176 square yards. How
much should FarmerJohn add on to each side of his existing holding pen to
achieve his goal?
Answer:
each side to the fence has 6 units added to have an area of 176
Step-by-step explanation:
Let me know if you need anything more !!
Happy to help :)
what is x in 2(1-5x)+4=-8
Answer:
Fraction Form: x = 7/5
Decimal Form: x = 1.4
Mixed Number Form: x = 1 1/2
Step-by-step explanation:
what is the measure of angle x
Answer:
Step-by-step explanation:
56 + 41 + x = 180
97 + x = 180
x = 83
A pie shop sells 32 apple pies, 33 pumpkin pie,20 cherry pies, and 15 chocolate pies.What percentage of pies were sold were apples or cherry
The percentage of pies sold that were apples or cherry is 52%
How to determine the percentage of apples or cherry?The given parameters are:
Apple = 32Pumpkin = 33Cherry = 20Chocolate = 15The total number of pies is:
Total = 32 + 33 + 20 + 15
Evaluate
Total = 100
The percentage of apples or cherry is calculated as:
Percentage = (Apple + Cherry)/Total
So, we have:
Percentage = (32 + 20)/100
Evaluate the quotient
Percentage = 0.52
Express as percentage
Percentage = 52%
Hence, the percentage of pies sold that were apples or cherry is 52%
Read more about percentage at:
https://brainly.com/question/843074
#SPJ1
Find the area of the sector.
Answer:
33.5
Step-by-step explanation:
60°÷360=0.16
60°/360° ×π×8²m
=33.5m²
Answer:
5.9 m²
Step-by-step explanation:
Area (shaded) = Area (sector) - Area (triangle)
Finding base of triangle
(b/2)² + (6.9)² = 8²b²/4 + 47.61 = 64b²/4 = 16.39b² = 65.56b = 8.09 (approx.)Solving
Area (shaded) = 3.14 x 64 x 60/360 - 1/2 x 8.09 x 6.9Area (shaded) = 200.96 x 1/6 - 3.45 x 8.09Area (shaded) = 33.49 - 27.91Area (shaded) = 5.58 ≅ 5.9 m²1. Find the derivative of [tex]x^{2}-2[/tex] at [tex]$x=10$.[/tex]
Answer:
20
Step-by-step explanation:
d/dx ( x² - 2 )
= d/dx ( x² ) - d/dx ( 2 )
= 2x - 0
= 2x
= 2 * 10
= 20
Area of triangle Question 4
Answer:
3sq units
Step-by-step explanation:
bxh = 2x3=6
6/2=3
Match the graph
with its system.
a.
667
b.
c.
Syco
(x > 0
y 2-2
(y - x < 1
x < 3
x + y > 2
Sy < 2x + 1
(y 2 -x + 3
Sy = x <3
ly-x^2
10
d.
e.
Answer:
e
Step-by-step explanation:
The following graph represents the 2 equations :
y - x < 3y - x ≥ 2The correct option is (e).
20points please help
Answer:
I would say B is the answer! Sorry if I was late to this!
Step-by-step explanation:
Can I get a Brainliest please?? :)
Mikayla is building a pyramid of paper cups. The bottom row has 61 cups while the top row has only one cup. If there are 16 total rows and the number of cups on each row represents an arithmetic sequence, find the total number of cups.
The number of cups will be equal to 496.
What is arithmatic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmatic progression
Here we have the data:-
The bottom row has 61 cups
If there are 16 total rows
The number of the cups will be calculated as:-
[tex]S_n=\dfrac{n(a_1+a_n)}{2}[/tex]
Here a1 is first term 1
an is last term 2
n is the total number of the rows
By putting the values in the question we will get:-
[tex]S_n=\dfrac{16(1+61)}{2}=\dfrac{16\times 62}{2}=496\ cups[/tex]
Hence the number of cups will be equal to 496.
To know more about arithmetic progression follow
https://brainly.com/question/6561461
#SPJ1
Bryan brought his series set of Rowan and the Dragon Quest to a secondhand store to sell. He was paid cash for all 5 books in the set. Before he left, Bryan used $29.75 of his earnings to purchase a used e-reader. He had $2.75 remaining. What was the value of each book in the set?
The value of each book in the set will be $6.5 when he sold his books to the second hand store.
What is profit and loss?When we sell any product above its cost price then there will be profit if the selling price is less then the cost price then there will be loss on the product.
here the total cost of the books sold will be given as:-
[tex]\$29.75+ \$2.75 =\$ 32.5[/tex]
The cost of the each book will be
[tex]=\dfrac{32.5}{5}=\$6.5[/tex]
Hence the value of each book in the set will be $6.5 when he sold his books to the second hand store.
To know more about Profit and Loss follow
https://brainly.com/question/19104371
#SPJ1
Answer:
$6.50
Step-by-step explanation:
The markup on a restaraunt meal is 250%. A meal costs $7.30 to produce. How much will the customer be charged before tax and tip.
Answer:
$25.55
Step-by-step explanation:
7.30*2.50=18.25
7.30+18.25=25.55
Help me find the circumference
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex]. We can then input the value and we get that [tex]C=2*\pi*3.3[/tex] and as we solve it more the final answer that we get is [tex]C=20.735[/tex].
Hope this helps! Let me know if you have any questions
Draw a HF on the diagram that is parallel to AE and perpendicular to GF.
The line HF that is perpendicular to GF and parallel to AE is presented in the image uploaded.
What is perpendicular line?A perpendicular line is a line that intersects another line at 90 degrees or normal to the line.
What is a parallel line?A parallel line is a line that never intersect with another. In this type of line, the angle between the two parallel lines is zero.
Thus, the line HF that is perpendicular to GF and parallel to AE is presented in the image uploaded.
Learn more about perpendicular lines here: https://brainly.com/question/1202004
#SPJ1
Determine the truth value of each statement based on the expression.
6x 2 - 2x - 14y + 3x
By analyzing the polynomial we have the following conclusions about the five propositions:
1) True
2) True
3) False
4) False
5) True
How to infer characteristics of a polynomial
In this question we have a second order polynomial with two variables (x, y) and we need to determine the truth value of each proposition by applying concepts related to polynomials.:
1) There are four terms - A term is an additive component of the polynomial. Thus, the polynomial has four terms. (True)
2) 6 · x² and 3 · x are like terms - Two components are like terms if they have the same variable. Thus, 6 · x² and 3 · x are like terms. (True)
3) The coefficient on y is 14 - A coefficient is a constant that accompanies a variable. The constant of y is -14. (False)
4) Simplified, the expression is 6 · x² + 5 · x - 14 · y - The simplification of the polynomial is done by applying algebraic properties. The simplified form is 6 · x² + x - 14 · y. (False)
5) The commutative property allows the expression to be written as 6 · x² - 14 · y + 3 · x - 2 · x - Commutative property indicates that the order of components of the polynomial can be changed without changing the result of the entire polynomial. (True)
Remark
The statement is incomplete and incorrectly formatted. Correct statement is shown below:
Determine the truth value of each statement based on the expression 6 · x² - 2 · x - 14 · y + 3 · x.
1) There are four terms.
2) 6 · x² and 3 · x are like terms.
3) The coefficient on y is 14.
4) Simplified, the expression is 6 · x² + 5 · x - 14 · y.
5) The commutative property allows the expression to be written as 6 · x² - 14 · y + 3 · x - 2 · x.
To learn more on polynomials: https://brainly.com/question/17822016
#SPJ1
Answer:
answer is
Step-by-step explanation:
TRUE
FALSE
FALSE
FALSE
TRUE
(3^4/3^n)=3^6 what value of N makes equation true
Answer:
n = - 2
Step-by-step explanation:
[tex] \huge\bigg (\frac{ {3}^{4} }{ {3}^{n} } \bigg) = {3}^{6}[/tex][tex]\implies\huge 3^{4-n} = 3^6[/tex]Bases are equal, so exponents will also be equal.[tex]\implies\huge 4 - n = 6[/tex][tex]\implies\huge - n = 6 - 4[/tex][tex]\implies\huge - n = 2[/tex][tex]\implies\huge n = - 2[/tex]What is the height, x, of the equilateral triangle shown?
Answer:
C. 10in
Step-by-step explanation:
[tex]\frac{sinA}{a} = \frac{sinB}{b}[/tex]
[tex]\frac{sin60}{10} = \frac{sin60}{x}[/tex]
[tex]x[/tex]sin60 = 10 × sin60
[tex]x[/tex]sin60 = [tex]5\sqrt{3}[/tex]
[tex]x[/tex] = [tex]\frac{5\sqrt{3} }{sin60}[/tex]
[tex]x[/tex] = 10in
Enter the values needed to find the
length AB. (Simplify your answer.)
A (-5x, 4y)
AB = (3x)2 + ([?])2
D
E
C (7x, -1y)
Distance Formula
d = V(x2 - x1) + (72 - y)?
B (-2x,1-4y)
Answer: 8y
Step-by-step explanation:
The values needed to find the length AB will be;
⇒ AB = √(3x)² + (- 8y)²
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The coordinate are,
⇒ A = (- 5x, 4y)
⇒ B = (- 2x, - 4y)
Now,
Since, We know that;
The distance between the points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
So, The distance between the points (- 5x, 4y) and (- 2x, - 4y) is,
⇒ d = √ (- 2x - (- 5x))² + (- 4y - 4y)²
⇒ d = √(3x)² + (- 8y)²
Thus, The values needed to find the length AB is find as;
⇒ AB = √(3x)² + (- 8y)²
Learn more about the line segment visit:
https://brainly.com/question/280216
#SPJ2
a term salinity refers to the amount of salt in water. the salinity of earths oceans is about 525 grams of dissolved salt for evert 15 kilograms of water. find the grams of salt for every gram of ocean water
Answer:
0.035 grams
Step-by-step explanation:
Grams of salt per gram of ocean water
Divide the amount of salt by amount of water525 g / 15 kg525 g / 15000 g [∴1 kg = 1000 g]0.035 / 1For every gram of ocean water, there is 0.035 grams of salt dissolved in it.
The salinity of earths oceans,
→ a = 525 g
Amount of water for the salinity,
→ b = 15 kg
→ b = 15 × 1000
→ [ b = 15000 g ]
Then find the grams of salt for every gram of ocean water,
→ a ÷ b
→ 525 ÷ 15000
→ 0.035 g
Hence, answer is 0.035 grams of salt.
This question is designed to be answered with a calculator. which inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve f(x) = 2 cos(2x) over the interval [0, pi/ 4] using 3 equal subdivisions?
a.) l < t < r
b.) r < l < t
c.) r < t < l
d.) t < r < l
The inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is C. r < t < l.
How to illustrate the inequality?From the information given, it should be noted that f'(x) is negative. Therefore, L > R. Also since f"(x) is negative, T > R.
f(x) = 2 cos 2x.
f'(x) = -4 sin 2x
f"(x) = -8 cos 2x
Therefore, the inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is r < t < l
Learn more about inequalities on:
brainly.com/question/24372553
#SPJ1
Answer please please
Answer: the answer is b which is the second choice . as the second one is greater than the first one . ( <)
Step-by-step explanation: HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .
Caroline opens a saving account at her local bank. She plans to put 1/10 or her net paycheck in her savings account every week. In June her paychecks are $164.69, $177.86. $187.74 and $163.04 how much money did Caroline put in her savings account?
Answer:
So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account
Step-by-step explanation:
Srekar needs to increase the length, width, and height of the prism below by 2 inches. The original prism has a length of 3 inches, a width of 2 inches, and a height of 1 inch.
A prism has a length of 3, height of 1, and width of 2.
Which statements about the new prism are true? Select three correct answers.
The new prism will have a length of 5 because 3 + 2 = 5.
The new prism will have a width of 4 because 2 + 2 = 4.
The new prism will have a height of 2 because 1 times 2 = 2.
The volume will increase by 6 because 2 times 3 = 6 and each of the 3 dimensions is increased by 2.
Srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side.
The volume of the new prism will be 20 times 3 = 60 because there will be 20 cubes in each layer and the height will be 3 so there will be 3 layers of 20 cubes each.
The statement first, statement second, and statement sixth are true.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have:
The original prism has a length of 3 inches, a width of 2 inches, and a height of 1 inches.
The new length = 3+2 = 5 inches
The new width = 2+2 = 4 inches
The new height = 1+2 = 3 inches
The volume of the old prism = 3×2×1 = 6 cubic inches
The volume of the new prism = 5×4×3 = 60 cubic inches
Srekar, could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side is false becasue:
Volume = 3×2×(1+6) = 42 cubic inches
The volume of the new prism will be 20 times 3 = 60 because there will be 20 cubes in each layer and the height will be 3 so there will be 3 layers of 20 cubes each is true.
Thus, the statement first, statement second, and statement sixth are true.
Learn more about the volume here:
https://brainly.com/question/16788902
#SPJ1
Complete the frequency table using 6 intervals beginning with 1-15.
Answer:
1. 18 just + 6
Step-by-step explanation:
Three machines produce the same parts.
Machine A produces 10% defective parts.
Machine B produces 5% defective parts.
Machine C produces 5% defective parts.
Suppose each machine produces 1/3 of the total production. A part is selected at random, and it is found to be defective. What is the probability that it was produced by machine B?
A) 19/56
B) 17/30
C) 1/2
D) 1/4
Answer:
20
Step-by-step explanation:
just add the 13 to A and B
urgent***
Determine the zeros, sign and extreme values of the function y = -x³ + 8x²-16x.
Step-by-step explanation:
To find extreme values, take the first derivative
[tex]y = - 3 {x}^{2} + 16x - 16[/tex]
Solve the equation for x.
[tex]x = \frac{ - 16 + \sqrt{256 - 192} }{ - 6} [/tex]
or
[tex]x = \frac{ - 16 - \sqrt{256 - 192} }{ - 6} [/tex]
[tex]x = \frac{ - 16 + \sqrt{64} }{ - 6} [/tex]
or
[tex]x = \frac{ - 16 - \sqrt{64} }{ - 6} [/tex]
We then get
[tex]x = \frac{4}{3} [/tex]
or
[tex]x = 4[/tex]
So our extreme values occur at x=4/3 and x=4
Zeroes:
[tex] - {x}^{3} + 8 {x}^{2} - 16x[/tex]
[tex] - x( {x}^{2} - 8x + 16)[/tex]
[tex] - x(x - 4) {}^{2} [/tex]
[tex] - x = 0[/tex]
[tex](x - 4) {}^{2} = 0[/tex]
[tex]x = 4[/tex]
So we have a double root at 4, and a root of 0. We have two positive roots and one non negative root
End behavior:
Since we have a negative leading coefficient and a odd degree, as x becomes more positive, y will become negative and as x becomes more negative, y will become positive.