Answer:
Answer is x=328 .
Step-by-step explanation:
solution= (4x-16)^1/2=36
squaring both sides we get
4x-16=129
4x=1296+16
x=(1296+16)/4
x=328 .
Answer:
x = 328
Step-by-step explanation:
The given equation is
[tex](4x-16)^{\frac{1}{2}}=36[/tex]
We need to find the solution of the given equation.
Taking square on both sides.
[tex]((4x-16)^{\frac{1}{2}})^2=(36)^2[/tex]
[tex](4x-16)^{\frac{2}{2}}=1296[/tex]
[tex]4x-16=1296[/tex]
Add 16 on both sides.
[tex]4x-16+16=1296+16[/tex]
[tex]4x=1312[/tex]
Divide both sides by 4.
[tex]x=\dfrac{1312}{4}[/tex]
[tex]x=328[/tex]
Therefore, the value of x is 328.
How many different 5-letter words can be created using the letters M, A, G, I, C without any letter being used more than once?
Answer:
You can spell only one word using the letters (M,A,G,I,C) the only word able to be made would be magic.
Step-by-step explanation:
Hope this helped you! :3
Answer:Meets,Abuzz,Glows,Inner,Creepy
Step-by-step explanation:
308% is what percent of 530?
Answer:
58%
Step-by-step explanation:
you write it as
308= ? (because you dont know what percent of 530 is yet) x 530
so it should look like 308=?x530
then divide on both sides and then turn your answer into a percentage.
Is ABC a right triangle? How do you know?
Answer:
Option A There is not enough information to determine
Step-by-step explanation:
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
You must calculate the slope of the AB segment and the BC segment, however the coordinates of the vertices are not known.
therefore
There is not enough information to determine
A circle with a radius of 10 inches is placed inside a square with a side length of 20 inches. Find the area of the circle.
a. 143
b. 400
c. 413
d. 314
Answer:
d. 314 in²
Step-by-step explanation:
Area of a circle=πr²where r is the radius of the circle.
A=πr²
=π×10²
=314.2 in²
Area of the circle is 314 in² to the nearest square inch.
ANSWER
d. 314
EXPLANATION
The area of a circle is calculated using the formula:
[tex]Area = \pi {r}^{2} [/tex]
It was given in the question that, the circle has radius r=10 units. We substitute this value and π=3.14 into the formula to get,
[tex]Area = 3.14 \times {10}^{2} [/tex]
[tex] \implies \: Area = 3.14 \times 100[/tex]
[tex]Area = 314 \: {in}^{2} [/tex]
The correct answer is D.
Complete the table Y=6x-4
Answer:
With Two points is enough to describe this graph
[tex]\left[\begin{array}{ccc}\frac{4}{6} &0\\0&-4\\\end{array}\right][/tex]
Step-by-step explanation:
Interception with Y axis (y=0), thus we have the following equation:
[tex]0=6*x+4[/tex]
[tex]x=4/6[/tex]
The point for this is (4/6 , 0)
Interception with x axis (x=0), thus we have the following equation:
[tex]Y=4*0-4[/tex]
[tex]y=-4[/tex]
The point for this is (0, -4)
Where is the opposite of −10 located on a number line? A) to the left of 0 B) to the right of 0 C) to the right of 12 D) to the left of −10
Answer:
B. to the right of 0
Step-by-step explanation:
the opposite of -10 would be 10 and out of all the answer choices the number 10 only fits into B.
Answer:
B to the right of zero why? ITS COMMON SENSE!
Step-by-step explanation:
What is 12% of 4? Explain and Show your work
Answer:
0.48
Step-by-step explanation:
convert the percent to a decimal
12%=0.12
multiply 4 by 0.12
you're left with 0.48
you can check your math by dividing .48/.12, which will give you 4
To solve this you must use a proportion like so...
[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]
12 is a percent and percent's are always taken out of the 100. This means that one proportion will have 12 as the part and 100 as the whole
We want to know what is 12% of the number 4. This means 4 is the whole and the unknown (let's make this x) is the part.
[tex]\frac{x}{4} =\frac{12}{100}[/tex]
Now you must cross multiply
x*100 = 4*12
100x = 48
Now isolate x divide 100 to both sides
100x/100 = 48/100
0.48 = x
This means that 12% of 4is 0.48
Hope this helped!
~Just a girl in love with Shawn Mendes
What is the area of the composite figure O120 O100 O110 O90
Total area is 110 square meter
Answer:
140
Step-by-step explanation:
What is the solution to the equation fraction 1 over 6 x = 2?
x = fraction 1 over 12
x = fraction 1 over 3
x = 3
x = 12
Answer:
C=1/12
1/6x=2 so 1=12x
X=1/12
Step-by-step explanation:
Eighty percent of the students in a class (group A) share 40% of the candy equally. The remaining 20% of the students (group B) share the other 60% of the candy equally. The ratio of the amount of candy a student in group A has to the amount of candy a student in group B has is equal to what common fraction?
Answer:
1/6
Step-by-step explanation:
There is x candy in total and y students in total.
Group A consists of 0.8y students, and group B consists of 0.2y students.
Group A gets 40% of x, or 0.4x. Each student in group A gets 0.4x/(0.8y) = 0.5x/y candy per person.
Group B gets 60% of x, or 0.6x. Each student in group B gets 0.6x/(0.2y) = 3x/y candy per person.
The ratio of candy each student in group A has to the amount of candy each student in group B has is:
(0.5x/y)/(3x/y) = 0.5/3 = 1/6
The ratio of the amount of candy a student in group A has to the amount of candy a student in group B has is equal to 1/6
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Eighty percent of the students in a class (group A) share 40% of the candy equally.
The remaining 20% of the students (group B) share the other 60% of the candy equally.
We need to find the common fraction between Group A and group B if ratio of the amount of candy a student in group A has to the amount of candy a student in group B has is equal
Let the total number of candy's are x
The total number of students are y.
The number of students in group A=0.8y
The number of students in group B=0.2y
Group A gets 40% of x, or 0.4x.
Each student in group A gets 0.4x/(0.8y) = 0.5x/y candy per person.
Group B gets 60% of x, or 0.6x. Each student in group B gets 0.6x/(0.2y) = 3x/y candy per person.
The ratio of candy each student in group A has to the amount of candy each student in group B has is:
(0.5x/y)/(3x/y) = 0.5/3 = 1/6
Hence, the ratio of the amount of candy a student in group A has to the amount of candy a student in group B has is equal to 1/6
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ2
Which of the following options is a polynomial with a root 2i and exactly 2
real roots?
Answer:
B. [tex]f(x)=x^4-x^3+2x^2-4x-8[/tex]
Step-by-step explanation:
If [tex]2i[/tex] is a root of f(x), then the complex conjugate [tex]-2i[/tex] is also a solution. If f(x) should have exactly 2 real roots, then by the Fundamental Theorem of Algebra, the minimum degree of f(x) is 4.
Hence the first and last options are eliminated.
By the Remainder Theorem, [tex]f(2i)=0[/tex].
Let us check for options B and C.
For option B.
[tex]f(x)=x^4-x^3+2x^2-4x-8[/tex]
[tex]\implies f(2i)=(2i)^4-(2i)^3+2(2i)^2-4(2i)-8[/tex]
[tex]\implies f(2i)=16i^4-8i^3+8i^2-8i-8[/tex]
[tex]\implies f(2i)=16+8i-8-8i-8=0[/tex]
For option C
[tex]f(x)=x^4-x^3-6x^2+4x+8[/tex]
[tex]\implies f(2i)=(2i)^4-(2i)^3-6(2i)^2+4(2i)+8[/tex]
[tex]\implies f(2i)=16i^4-8i^3-24i^2+8i+8[/tex]
[tex]\implies f(2i)=-16+8i+24+8i+8\ne0[/tex]
Therefore the correct choice is B.
A hunter shot 7 ducks. The hunter's dog recovered 5/7 of
the ducks. How many ducks were recovered?
Answer:
5
Step-by-step explanation:
7 ducks=7/7 ducks
7/7-?=5/7
7/7-2/7=5/7
5/7=5 ducks
WILL MARK BRAINLIEST
PLEASE
Need NOW
a restraunt owner is going to panel a square portions of the restaurants ceiling. The portion to be paneled has an area of 185 ft^2. The owner plans to use square tin ceiling panels with a side length of 2 ft. What is the first steps in finding ouw whether the owner will be able to use a whole number of panels?
Answer: Dividing 185 by 4 is the first step in finding out whether the owner will be able to use a whole number of panels. Hope this helps!
Step-by-step explanation:
The owner will not be able to use a whole number of panels btw
Is BES - GES? If so, identify the similarity postulate or theorem that
applies
Answer:
A
Step-by-step explanation:
∠BES = ∠GES = 40°
∠BSE = ∠GSE = 90°
ΔBES and ΔGES are similar by the AA postulate → A
The given ΔBES and ΔGES are similar triangles according to the AA similarity postulate or theorem. Option A true.
What is the AA similarity postulate or theorem?The AA similarity postulate is that " If any two triangles have a pair of angles with equal measures then they are said to be similar triangles". If two angles are equal then the third one will also be equal in both the triangles.
Checking similarity in both the triangles:The given triangles are ΔBES and ΔGES
The ΔBES has dimensions as ∠BES=40° and ∠ESB=90° and the ΔGES has dimensions as ∠GES=40° and ∠ESG=90°
Thus, both the triangles have pair of angles with equal measures. I.e., ∠BES=∠GES=40° and ∠ESB=∠ESG=90°. So, they satisfy the AA similarity theorem.
Hence, the given triangles are said to be similar according to the AA similarity postulate or theorem. So, option A is true.
Learn more about similarity postulates here:
https://brainly.com/question/21247688
#SPJ2
a train traveling at an average speed of 85 miles per hour. At this rate, how far will the train travel in 12 1/4 hours?
Answer:
1041.25 miles
Step-by-step explanation:
You just have to multiply 12.25 (which is equivalent to 12 1/4) by 85 and you'll get the answer 1041.25
Answer:
1041.248 miles
Step-by-step explanation:
Points to remember
Speed = Distance/Time
It is given that,a train traveling at an average speed of 85 miles per hour.
To find the speed of train
Speed = 85 miles/1
= 136.794 km/1 = 136.794 km/hr
To find the distance traveled in 12 1/4 hours
Distance = Speed * time
= 136.794 * 12 1/4
= 136.794 * 49/4
= 1675.7265
= 1041.248 miles
which of the following is the quotient of the rational expressions shown below x-2/x+3 divided by 2/x
Answer:
2x^2+4x/3x-3
Step-by-step explanation:
ape.x
The quotient of (x-2)/(x+3) divided by 2/x is (x² - 2x)/(2x + 6), which corresponds to option D. This is achieved by multiplying the first fraction by the reciprocal of the second fraction and then simplifying.
To find the quotient of (x-2)/(x+3) divided by 2/x, we'll follow these steps:
Rewrite the division of fractions as multiplication by the reciprocal. This means:(x-2)/(x+3) ÷ (2/x) = (x-2)/(x+3) * (x/2)Multiply the numerators and multiply the denominators:((x-2) * x) / ((x+3) * 2) = (x(x-2)) / (2(x+3))Simplify the expression:(x² - 2x) / (2x + 6)Looking at the given options, the correct answer is: (x² - 2x) / (2x + 6) (Option D)
The complete question is
which of the following is the quotient of the rational expressions shown below x-2/x+3 divided by 2/x
A. (2x - 4)/(x ^ 2 + 3x)
B. (2x - 2)/(x ^ 2 + 3x)
C. x/(2x + 3)
D. (x² - 2x)/(2x + 6)
What is the answer to 6x2-54x/x-9*7x/6x
Answer:
[tex]\large\boxed{\dfrac{6x^2-54x}{x-9}\cdot\dfrac{7x}{6x}=7x}[/tex]
Step-by-step explanation:
[tex]\dfrac{6x^2-54x}{x-9}=\dfrac{6x(x-9)}{x-9}=6x\qquad\text{canceled}\ (x-9)\\\\\dfrac{7x}{6x}=\dfrac{7}{6}\qquad\text{canceled}\ x\\\\\dfrac{6x^2-54x}{x-9}\cdot\dfrac{7x}{6x}=6x\cdot\dfrac{7}{6}=7x\qquad\text{canceled 6}[/tex]
Select the values that are solutions to the inequality x2 + 3x – 4 > 0.
The solutions to the inequality x^2 + 3x - 4 > 0 are all real numbers where x is less than -4 or greater than 1, represented by the intervals (x < -4) or (x > 1).
To find the values that are solutions to the inequality x2 + 3x - 4 > 0, we first need to determine the roots of the quadratic equation x2 + 3x - 4 = 0. We can do this either by factoring, completing the square, or using the quadratic formula. In this case, factoring is the simplest approach:
x2 + 4x - x - 4 = 0
(x + 4)(x - 1) = 0
Therefore, the roots are x = -4 and x = 1. Since it is a parabola opening upwards (the coefficient of x2 being positive), the inequality x2 + 3x - 4 > 0 holds true when x is either less than -4 or greater than 1.
The solution set is thus all real numbers outside the interval [-4, 1], which can be written as (x < -4) or (x > 1).
the width of the credit card is 5.6 CM what is in millimeters
Answer: 56
Step-by-step explanation:
For this case we must make a conversion of centimeters to millimeters. By definition we have to:
1 cm equals 10 mm
By making a rule of three we have:
1 cm ---------> 10 mm
5.6 cm --------> x
Where "x" represents the quantity in millimeters.
[tex]x = \frac {5.6 * 10} {1} = 56[/tex]
Thus, we have that 5.6 centimeters equals 56 millimeters.
Answer:
56mm
What is 1(y), when y = -5/8
That's easy.
[tex]1\cdot-\dfrac{5}{8}=-\dfrac{5}{8}[/tex]
Hope this helps.
r3t40
Which description does NOT guarantee that a quadrilateral is a kite?
A two distinct pairs of congruent adjacent sides
B perpendicular diagonals
C perpendicular diagonals, exactly one of which bisects the other
D one diagonal bisects opposite angles and the other diagonal does not
Answer:
D one diagonal bisects opposite angles and the other diagonal does not
Option D, 'one diagonal bisects opposite angles and the other diagonal does not,' does NOT guarantee that a quadrilateral is a kite.
To determine if a quadrilateral is a kite or not based on its properties.
A quadrilateral is a kite if and only if its diagonals are perpendicular and exactly one of them bisects the other diagonal. Let's analyze the given options:
If a quadrilateral has two distinct pairs of congruent adjacent sides, it is not necessarily a kite.If a quadrilateral has perpendicular diagonals, it is one condition for it to be a kite, so this option could guarantee a kite.If a quadrilateral has perpendicular diagonals, exactly one of which bisects the other, it guarantees a kite.If one diagonal bisects opposite angles and the other diagonal does not, it is not sufficient to guarantee a kite.Therefore, option D, 'one diagonal bisects opposite angles and the other diagonal does not,' does NOT guarantee that a quadrilateral is a kite.
Simplify to create an equivalent expression. −y−3(−3y+5)
Answer:
[tex]\large\boxed{-y-3(-3y+5)=8y-15}[/tex]
Step-by-step explanation:
[tex]-y-3(-3y+5)\qquad\text{use the distributive porerty}\ a(b+c)=ab+ac\\\\=-y+(-3)(-3y)+(-3)(5)\\\\=-y+9y-15\qquad\text{combine like terms}\\\\=(-y+9y)-15\\\\=8y-15[/tex]
the simplified expression is 8y−15
To simplify the expression −y−3(−3y+5), we can start by distributing the negative sign to each term inside the parentheses.
This gives us −y+9y−15. Next, we can combine like terms by adding the coefficients of the y-terms, which gives us 8y.
Finally, we combine the constant terms to get −15.
Therefore, the simplified expression is 8y−15. We simplified the original expression by distributing the negative sign and then combining like terms to obtain a more concise and equivalent expression.
Learn more about expression here
https://brainly.com/question/28316105
#SPJ6
Help me with this question
Answer: Base.
The exponent is the 2, and the 5 is the base.
Answer:
Step-by-step explanation:
The five is the base. The two tells you what to do with the base.
5^2 = 5 * 5 = 25.
Notice what you are told. The 2 tells you to use two fives. The ^ in this case means multiply.
3 (x - 1) = 3x - ________
What would 3x be subtracted by
Answer:
3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
Use the distributive property:
3(x - 1)
= 3(x) + 3(-1)
= 3x - 3
PLEASE HELP FAST!!!!
A man goes fishing in a river and wants to know how long it will take him to get 10km upstream
to his favourite fishing location. The speed of the current is 3 km/hr and it takes his boat twice
as long to go 3km upstream as is does to go 4km downstream. How long will it take his boat to
get to his fishing spot?
Answer:
Time = 25/9 hr
Step-by-step explanation:
Let speed of boat in still water is x km/hr
then, speed in downstream equals to "x + 3"km/hr
and speed in upstream equals to "x - 3" km/hr
We also know that time taken to travel 3km in upstream is twice as time taken to travel 4km in downstream.
so, using time = distance/speed
3/x- 3 = 2 × (4/x + 3)
3x + 9 = 8x -24
5x = 33
x = 33/5 km/hr
Net speed in upstream = 33/5 - 3 = 18/5 km/hr
So, Time taken to travel 10km upstream = distance /speed
= (10 × 5) / 18 = 25/9 hr
Time = 25/9 hr
The boat speed in still water is determined to be 6.6 km/hr, and it will take around 2.78 hours to travel 10 km upstream.
To determine how long it will take the man to travel 10 km upstream to his favorite fishing location, let's first define the boat speed in still water as v km/hr.
From the problem, we know:
The speed of the current is 3 km/hr.
It takes twice as long to travel 3 km upstream as it does to travel 4 km downstream.
The speed of the boat upstream relative to the shore is v - 3 km/hr, and downstream it is:
→ v + 3 km/hr.
Let t be the time it takes to travel 4 km downstream. Then time to travel 3 km upstream is 2t.
We can set up the following equations using distance = speed x time:
→ For downstream: 4 = (v + 3)t
→ For upstream: 3 = (v - 3)2t
Solve these equations:
→ From 4 = (v + 3)t, we have t = 4/(v + 3)
Substitute t in 3 = (v - 3)2t: 3 = (v - 3)2(4/(v + 3))
→ Simplify: 3(v + 3) = 8(v - 3)
→ Expand and solve for v: 3v + 9 = 8v - 24
→ 33 = 5v
→ v = 33/5
= 6.6 km/hr
Now that we know the speed of the boat in still water is 6.6 km/hr, we can determine the time it takes to travel 10 km upstream:
→ The effective speed upstream is:
= 6.6 - 3
= 3.6 km/hr.
→ Time required to travel 10 km upstream is:
= 10 / 3.6
≈ 2.78 hours.
Which of the following is not a whole number followed by its square?
A. 11, 121
B. 13, 169
C. 15, 205
D. 8, 64
E. 2, 4
Answer:
C 15, 205.
Step-by-step explanation:
That would be C because 15^2 = 225. The others are all correct.
The whole number not followed by its square is (c) 15, 205
How to determine the whole number?The square of a number x can be represented as:
y = x^2
Using the above equation, we have:
121 = 11^2 --- true
169 = 13^2 --- true
205 = 15^2 --- false
64 = 8^2 --- true
4 = 2^2 --- true
Hence, the whole number not followed by its square is (c) 15, 205
Read more about numbers at:
https://brainly.com/question/4916384
#SPJ9
PLEASE HELP!!! ASAP!!!!!!
6 units right is the answer, since plugging in values(since it's asking for the translation you can ignore the -3) so your answer is:
The graph is translated 6 units RIGHT
Hope this helps!
plz brainliest
Built in 1599, the Globe Theatre was home to William Shakespeare and his performing company, The Lord Chamberlain’s Men. It was a circular amphitheater that stood 3-stories tall and had a diameter of 100 feet. What formula can you use to calculate the distance around the theatre?
Answer:
C = pi * d formula
C = 314 ft
Step-by-step explanation:
To find the distance around the theatre, we want to use circumference.
C= 2 * pi *r where r is the radius
or
C = pi * d where d is the diameter
C = pi *100
C = 100pi
Using 3.14 as an approximation for pi
C = 3.14*100
C = 314 ft
If f(x) is a third degree polynomial function how many distinc complex rules are possible ?
Answer:
2
Step-by-step explanation:
According to the fundamental theorem of Algebra
A polynomial of degree 3 has 3 roots
However, complex roots occur in conjugate pairs, hence
There can only be 2 distinct complex roots.
Which linear inequality is graphed with y>-x-2 to create the given solution set?
Answer
D
Step-by-step explanation:
just toke the test