Answers
The Solution:
Given:
We are required to find the equivalent of the given expression.
Simplifying the given expression, we get:
[tex]4x^2\sqrt{5x^4}\cdot3\sqrt{5x^8}=4x^2\times x^2\sqrt{5}\times3x^4\sqrt{5}[/tex][tex]=4x^2\times x^2\times3x^4\times\sqrt{5}\times\sqrt{5}=4x^4\times3x^4\times5=60x^8[/tex]Therefore, the correct answer is [option B]
Related Questions
A psychology test has personality questions numbered 1,2,3, intelligence questions numbered 1,2,3,4, and attitude questions numbered 1,2. If a single question is picked at random, what is the probability that the question is an intelligence question OR has an odd number?Provide the final answer as a simplified fraction.
Answers
Given:
Personality question = 1,2,3
Intelligence question = 1,2,3,4
Attitude question = 1,2
Find-: what is the probability that the question is an intelligence question OR has an odd number
Sol:
The total number of questions is:
3 Personality, 4 intelligence, and 2 attitudes so the total number of questions is:
[tex]\begin{gathered} =3+4+2 \\ \\ =9 \end{gathered}[/tex]The odd numbers are:
[tex]\begin{gathered} =1,1,1,3,3 \\ \\ \text{ Total 5 questions.} \end{gathered}[/tex]Probability is :
[tex]P=\frac{\text{ Favorable outcome }}{\text{ Total outcome}}[/tex]The probability of an odd number is:
[tex]P=\frac{5}{9}[/tex]The probability of intelligence question of even number is:
[tex]P=\frac{2}{9}[/tex]So required probability is:
[tex]\begin{gathered} =\frac{5}{9}+\frac{2}{9} \\ \\ =\frac{7}{9} \end{gathered}[/tex]Probability is 7/9.
Can you please help me out with a question
Answers
A city currently has 129 streetlights. As part of a urban renewal program, the city council has decided to install 3 additional streetlights at the end of each week for the next 52 weeks.How many streetlights will the city have at the end of 45 weeks?—————
Answers
Solution
Step 1
Current number of streetlights = 129
Step 2
Number installed per week = 3
[tex]\begin{gathered} Number\text{ of straightlights installed in 45 weeks = 3 }\times\text{ 45} \\ =\text{ 135} \end{gathered}[/tex]Step 3
Number of straightlights at the end of 45 weeks = 129 + 135 = 264
Final answer
256
17. Felicia bought 5 pieces of candy for 75 cents. Write a proportion youcould solve to find out how much would 8 pieces cost? *
Answers
Given the information on the problem, we can write the 5 pieces of candy for 75 cents like this:
[tex]\frac{75\text{ cents}}{5\text{ pieces}}[/tex]then, for 8 pieces, we would have the following proportion:
[tex]\frac{x\text{ cents}}{8\text{ pieces}}[/tex]then, we can equate both proportions to get the following:
[tex]\begin{gathered} \frac{75\text{ cents}}{5\text{ pieces}}=\frac{x\text{ cents}}{8\text{ pieces}} \\ or \\ \frac{75}{5}=\frac{x}{8} \end{gathered}[/tex]thus, solving for x, we get:
[tex]\begin{gathered} \frac{x}{8}=\frac{75}{5} \\ \Rightarrow x=\frac{75}{5}\cdot8=120 \\ x=120\text{cents} \end{gathered}[/tex]therefore, 8 pieces cost $1.20
22. Solve 3(5x – 4) < 15x.O x<4No solutionX >-4All Real Numbers
Answers
ANSWER
All real numbers
EXPLANATION
To solve this inequality, first, divide both sides by 3,
[tex]\begin{gathered} \frac{3\left(5x-4\right)}{3}\lt\frac{15x}{3} \\ \\ 5x-4\lt5x \end{gathered}[/tex]Then, subtract 5x from both sides of the inequality,
[tex]\begin{gathered} 5x-5x-4\lt5x-5x \\ \\ -4\lt0 \end{gathered}[/tex]-4 indeed is less than 0, and this is valid for any value of x in the real numbers - i.e. any real number for x satisfies the inequality.
Hence, the solution is all real numbers.
Which equation can be used to find 40 percent of 25? 199 25 40 40-1 100x4 400 4044 16 40x4 160 25x4 100 40:4 100=4 10 25
Answers
To find percentage is find a quantity smaller than a given number. In this case number is 25, and is required to find 40% of 25.
Harry wants to buy a motorbike that costs £600.He saves 30% of his wages each month.Each month Harry earns £400.Calculate how many months it will take Harry to save enough money?
Answers
First, let's calculate how much money he saves each month, by calculating 30% of £400:
[tex]\frac{30}{100}\cdot400=30\cdot4=120[/tex]He saves £120 each month.
So, to reach the value of £600, the number of months needed is:
[tex]\frac{600}{120}=5[/tex]Therefore it will take 5 months to save enough money.
Find the area of triangle ABC.A = 37.2°, b = 10.1 in., c = 6.2 in.A. 19 in²B. 20 in²C. 17 in²D. 18 in²
Answers
Given:
A = 37.2°
b = 10.1 in
c = 6.2 in
Let's find the area of the traingle.
To find the area, apply the formula below:
[tex]\text{Area}=\frac{1}{2}\ast b\ast c\ast\sin A[/tex]Hence, we have:
[tex]Area=\frac{1}{2}\ast10.1\ast6.2\ast\sin 37.2[/tex]Solving further:
[tex]\begin{gathered} \text{Area}=\frac{1}{2}\ast10.1\ast6.2\ast0.605 \\ \\ \text{Area}=18.9\text{ }\approx19in^2 \end{gathered}[/tex]Therefore, the area of triangle ABC is 19 square inches
ANSWER:
A. 19 in²
A group of 30 students rented small canoes and large canoes at a river park.
• The group
rented twice as many small canoes as large canoes.
• There were 3 students in each small canoe.
• There were 4 students in each large canoe.
Let x represent the number of small canoes and let y represent the number of large canoes
Create a set of equations that can be used to determine the number of each type of canoe the group rented.
Answers
Answer:
Im taking the test ill give the answers in 5 minutes
Step-by-step explanation:
70% of what is 35 ???
Answers
We calculate the 70% of the number that is 35 as follows:
[tex]x=\frac{35\cdot100}{70}\Rightarrow x=50[/tex]So, the number which 70% is 35 is 50.
I need help with this question(Please no long explanation just the answer)
Answers
To find the answer to this question, we only have to add $12.80 once more time to the Simple Interest Earned.
[tex]12.80+38.40=51.2[/tex]At the fourth year, the Simple Interest Earned is $51.2 and the new account balance is $451.2.
on a graph if it has (-5,5) and (5,5) is it proportional or non- proportional
Answers
A proportional graph is when y increases/decreases, if x increases. The graph shows that as x increases, the value of y stays the same, therefore it is not proportional.
14. The measure of one side of an equilateral triangle is (s+6) inches long. Write 2 different, equivalent
expressions to represent the perimeter of the triangle.
Answers
Perimeter of the equilateral triangle = 3(s + 6) inches
Perimeter of the equilateral triangle = 3s + 18 inches
Explanation:Given:
One of the sides of an equilateral triangle = (s + 6)
To find:
2 different equivalent expressions that represent the perimeter of the triangle
To determine the expression, we need to apply the formula for the perimeter of an equilateral triangle
[tex]\begin{gathered} Perimeter\text{ of equilateral triangle = sum of all 3 sides} \\ since\text{ all sides of an equilateral triangle are equal,} \\ Perimeter\text{ = 3}\times\text{ one of the side} \end{gathered}[/tex][tex]\begin{gathered} one\text{ of the side = s + 6} \\ \\ Perimter\text{ = 3 }\times(s\text{ + 6\rparen} \\ Perimeter\text{ of the equilateral triangle = 3\lparen s + 6\rparen inches} \end{gathered}[/tex]Another expression for the perimeter:
[tex]\begin{gathered} Perimeter\text{ = 3\lparen s + 6\rparen} \\ Expanding\text{ the parenthesis using distributive property:} \\ Perimeter\text{ = 3\lparen s\rparen + 3\lparen6\rparen} \\ Perimeter\text{ of the equilateral triangle = 3s + 18 inches} \end{gathered}[/tex]ylinders, cone Justin uses the mold picture cement column posts to use a height of the Cylinder = 18 in To make a post, Justin completel wet cement How much wet cement, in cubic inche make 4 posts? dus 3 in Formula Sheet
Answers
i was wondering if i could get help on my geometry i’ve been struggling
Answers
We need to count the units to go from A to A'
ANSWER
7 units to the left
Un gerente compró un total de 21 tazas de café y llaveros. Cada taza de café cuesta $8,50 y cada llavero cuesta $2,75. Si el gerente gastó un total de $132.50, ¿cuántas tazas de café compró el gerente?
Answers
Usemos la variable x para representar el número de tazas e y para el número de llaveros.
Si el número de artículos es 21, tenemos:
[tex]x+y=21[/tex]Si el costo total es 132.5, tenemos:
[tex]8.5x+2.75y=132.5[/tex]De la primera ecuación, podemos escribir:
[tex]y=21-x[/tex]Usando este valor de y en la segunda ecuación:
[tex]\begin{gathered} 8.5x+2.75(21-x)=132.5 \\ 8.5x+57.75-2.75x=132.5 \\ 5.75x=74.75 \\ x=13 \end{gathered}[/tex]Entonces la cantidad de tazas compradas es 13.
Fill in the missing number to complete the pattern.18, 12, ,0
Answers
using Ap formula,
[tex]\begin{gathered} a+(n-1)d \\ a=18 \\ d=12-18=-6 \\ 18+(3-1)-6 \\ 18-12=6 \end{gathered}[/tex]The missing term = 6
Construct triangle ABC if AB = 5cm, BC=5cm and AC=3cm. What type if triangle does this create
Answers
The type of triangle is isosceles.
Picture
Kobe is 2.07 metres tall.
Marcus is 1.79 metres tall.
Stephen is taller than Marcus by half the difference between Kobe's height and
Marcus's height.
How tall, in metres, is Stephen?
Answers
The height of Stephen is = 1.79 + 0.14 = 1.93 meters
What is unitary method ?In its simplest form, the unitary procedure is used to determine the value of a single unit from a given multiple. How to calculate the value of one pen, for example, if 40 cost Rs. 400. To finish it, using the unitary method. Additionally, after the value of a single unit has been established, we can multiply that value by the quantity of additional units required to establish the value of the additional units. This is typically how the concepts of ratio and proportion are used.
CalculationStep: 1
The height of Kobe is 2.07 meters
The height of Marcus is 1.79 meters
The difference between Kobe's height and Marcus's height = 2.07 - 1.79 meters
And its half is = 1/2 * 0.28 = 0.14 meters
Stephen is taller than Marcus by half the difference between Kobe's height and Marcus's height
The height of Stephen is = 1.79 + 0.14 = 1.93 meters
learn more about unitary method here :
brainly.com/question/22056199
#SPJ13
Can someone help me identify these things this is geometry
Answers
(a)
The rays are opposite if angle between the two rays in 180 degree. So ray AB and ray CB is a pair of opposite ray.
(b)
When two line intersect each other then angle lies on opposite side od the intersecting points are termed as vertical angles. So a pair of vertical angle is angle ABD and angle mBC.
(c)
The plane can be named by three points lying on the plane. So other name of plane P is EBC.
(d)
The colinear points always lies in a striaght line. So point A, point B and point C are collinear points.
(e)
The angles whose sum is equal to 180 degree are called linear pair of angle. So angle ABD and angle CBD are linear pair of angles.
whats the constant proportionality of the table. x 30 24 9 y 10 8 3
Answers
Let:
y = kx
Where:
k = constant proportionality of the table
If x = 30, y = 10:
10 = k30
Solving for k:
k = 10/30 = 1/3
Verify the answer:
If x = 24, y = 8:
y = kx = 1/3*24 =24/3 = 8
Therefore, the constant proportionality of the table is 1/3
What is the perimeter of the figure Assume that all angles are right anglesA) 23 yardsB) 30 yardsC) 32 yardsD) 26 yards
Answers
The perimeter of the figure is the sum of the lengths of its sides. Find the missing side lengths to calculate the perimeter of the figure.
The length of then missing horizontal side is 6yd because it must add up to 8yd with the 2yd segment.
The length of the missing vertical side is 4yd because it must add up to 7yd with the 3yd segment.
Then, the perimeter of the figure is:
[tex]\begin{gathered} P=7yd+8yd+3yd+2yd+4yd+6yd \\ =30yd \end{gathered}[/tex]Therefore, the correct choice is option B) 30 yards.
Which tree is growing faster?Tree 2Tree 1 is growing 2 week 2 4 6 8 10inches every week. inches5 10 15 20 25tallHint: First calculate the unit rate for Tree 2.Enter the number that belongs in the numerator.Unit Rate[?]=inches/week
Answers
Calculating the unit rate for Tree 2 we have the following
[tex]\text{Unit Rate }=\frac{5\text{ inches}}{2\text{ week}}\text{ }=\frac{10\text{ inches}}{4\text{ week}}\text{ }=\frac{15\text{ inches}}{6\text{ week}}[/tex]When simplified the unit rate is
[tex]\frac{5}{2}\text{ inches/week}[/tex]This is 2.5 inches per week. Compared to Tree 1,
Find the first five terms of the sequence
defined recursively as follows: t₁ = 1,
tn = 3(t(n-1)), n≠1, n is a natural number.
Answers
Answer:
1, 3, 9, 27, 81
Step-by-step explanation:
using the recursive rule
[tex]t_{n}[/tex] = 3 [tex]t_{n-1}[/tex] with t₁ = 1 , then
t₂ = 3 × t₁ = 3 × 1 = 3
t₃ = 3 × t₂ = 3 × 3 = 9
t₄ = 3 × t₃ = 3 × 9 = 27
t₅ = 3 × t₄ = 3 × 27 = 81
the first 5 terms are 1, 3, 9, 27, 81
Mr. Fowler's science class grew two different varieties of plants as part of anexperiment. When the plant samples were fully grown, the studentscompared their heights.PlantvarietyHeight of plant(inches)20, 17, 19, 18, 21Mean Mean absolute deviation(Inches)Variety A191.2Variety B13, 18, 11,9,14132.4Based on these data, which statement is true?O A. The maximum height for plants from variety B is greater than forvariety A.B. Plants from variety A always grow taller than plants from variety B.C. The height of a plant from variety B is likely to be closer to themean.D. The height of a plant from variety A is likely to be closer to themean.
Answers
Let's analyze all the statements and see why they are false or true.
A. FALSE
The tallest plant in variety B is just 18 tall, while the variety A we have 21.
B. FALSE
We do have plants in A that have the same height as B.
C. FALSE
The standard deviation measure how far it's from the mean, the variety B has a 2.4 standard deviation, which means that the height can be more distant from the mean than in variety A.
D. True
Justified by C. Variety A has a 1.2 standard deviation, which means it's more likely to be closer to the mean
solve for y in the equation below
2 4y = 9
Answers
Answer:9/24
Step-by-step explanation
Recall that the formula for an area of a circle is A=πr^2 Find the radius of a circle whose area is 300 square meters. Give a decimal approximation rounded to 2 decimal places.raduis=_______meters
Answers
Given:
a.) Area of circle = 300 m²
Let's determine its radius,
[tex]\text{ Area = }\pi\text{r}^2[/tex][tex]\text{ }\pi r^2\text{ = Area}[/tex][tex]\text{ r}^2\text{ = }\frac{300}{3.1416}\text{ ; }\pi\text{ }\approx\text{ 3.1416}[/tex][tex]\text{ r = }\sqrt{\frac{300}{3.1416}}[/tex][tex]\text{ r = 9.77203881243 }\approx\text{ 9.77 m}[/tex]Therefore, the radius of the circle is approximately 9.77 m
Transform 12 + 3y = 9 into an equivalent equation that is in slope-intercept form.A. y=3/4x - 1/4B. y=-4x+3C. y=4x-3D. y=-1/4x+3/4
Answers
Given:
[tex]12x+3y=9[/tex]Find: Slope - intercept form.
Sol:
Slope - intercept form:
[tex]y=mx+c[/tex][tex]\begin{gathered} 12x+3y=9 \\ 3y=-12x+9 \\ y=\frac{-12}{3}x+\frac{9}{3} \\ y=-4x+3 \end{gathered}[/tex]Slope intercept form of equation is:
[tex]y=-4x+3[/tex]I need to find out which ones are true and which ones I have to change to get the answers correct please help me.
Answers
Solution
- In order to solve this question, we need to apply the following rules:
[tex]\begin{gathered} Given \\ f(x)=ax^2+bx+c \\ \\ |a|>1:\text{ } \\ \text{ The graph gets narrower the larger }|a|\text{ gets} \\ \\ 0<|a|<1: \\ \text{ The graph gets wider the closer }|a|\text{ is to zero} \\ \\ a<0: \\ \text{ The graph has a peak} \\ \\ a>0: \\ \text{ The graph has a valley} \end{gathered}[/tex]- Applying this rule, we can proceed to solve this question.
- Based on these rules above, we can select the correct options as follows:
Determine the measures of the unknown angle.
Answers
To find the measure of the unknown angle we can use the triangle sum theorem that states that the sum of the measures of the interior angle of a triangle is 180°. We know the measure of two of the interior angles of the triangle that are 50° and 88°, and we can use this information to find the unknown one:
[tex]\begin{gathered} 50+88+\measuredangle3=180 \\ 138+\measuredangle3=180 \\ \measuredangle3=180-138 \\ \measuredangle3=42 \end{gathered}[/tex]The correct answer is C. 42°.
