Answer:
what restrictions????
Step-by-step explanation:
you haven't completed the question
\(\sqrt{529x^{19}}\)
Simplify the radical expression.
Write your answer in form A,
B or \(A\sqrt{B}\) where A and B are constants or expressions in x. Use at most one radical in your answer, and at most one absolute value symbol if need.
Answer:
Step-by-step explanation:
√(529x^{18}x)
√529=23
√x^{18}=x^9
\(\sqrt{529x^{19}}=23\sqrt{x^{18}x}=23x^9\sqrt{x}\)
1/2 x^3 = 125/2
x=-5?
ANSWER:
125/2 =125/2
PROVED
STEP BY STEP EXPLANATION
PUTTING THE VALUE OF X, WE HAVE
1/2×5×5×5=125/2
1/2×125=125/2
125/2=125/2
HENCE ,L.H.S =R.H.S
PROVED.
HOPE THIS WILL HELP YOU
A Christmas tree is supported by a wire that is 2 meters longer than the height of the tree. The wire is anchored at a point whose distance from the base of the tree is 23 meters shorter than the height of the tree. What is the height of the tree?
Answer:
The height of the tree is 35 meters.
Step-by-step explanation:
Let the height of the tree be x meters, then the length of the wire is
x+2 meters.
The distance from the tree to the anchor is x-23 meters.
So using the pythagoras theorem:
(x + 2)^2 = x^2 +(x -23) ^2
x^2 + 4x + 4 = x^2 + x^2 - 46x + 529
x^2 - 50x + 525 = 0
( x - 15)(x - 35) = 0
x = 15, 35
x cannot be 15 as this would make the distance 15-23 which is negative so x mustr be 35 meters,
Giving brainliest! need this question rlly soon thank you so much :)
Vincent ran 24 laps on Monday. This is 66 and two-thirds percent of the maximum number of laps he has run in one day. What is the maximum number of laps Vincent has run in one day?
Answer:
the answers C 36
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Just took the quiz
Solve the following equation. Then place the correct number in the box provided. 8 + x = 13 + 2x
Answer:
-5
Step-by-step explanation:
8 + x - 8 = 13 + 2x - 8
The 8 cancels on the left
x - 2x = 13 + 2x - 8 - 2x
The 2x cancels on the right
x - 2x = 13 - 8
Do the calculation to find
- x = 5
- x . (-1) = 5 . (-1)
Times by -1 to cancel the negative sign because you arises to find x and not -x
You finally get x = -5
Answer: You must have typed it wrong cause they can not equal each other
Step-by-step explanation:
8 + 1 does not equal 13 + 2
nor with two, three, four, and so on.
20. Sketch the level curve of the function f(x, y) that contains the point (5,0).
f(x, y) is shown in the picture attached.
At the given point,
\(f(5,0) = \dfrac1{\sqrt{5^2 + 0^2 - 9}} = \dfrac1{\sqrt{16}} = \dfrac14\)
Then the level curve is
\(\dfrac1{\sqrt{x^2 + y^2 - 9}} = \dfrac14 \\\\ \implies \sqrt{x^2 + y^2 - 9} = 4 \\\\ \implies x^2 + y^2 - 9 = 4^2 \\\\ \implies x^2 + y^2 = 25 = 5^2\)
which is a circle centered at the origin with radius 5 - quite easy to sketch.
The diagram shows the sequence of three rigid transformations used to map TriangleABC onto TriangleA"B"C". What is the sequence of the transformations? rotation, then reflection, then translation
The sequence of the transformations are rotation, then translation, and then reflection.
What is a transformation?A transformation refers to the movement of a point from its original (initial) position to a new location.
In Geometry, there are different types of transformation and these include the following:
DilationReflectionRotationTranslationBased on the diagram (see attachment), we can logically deduce that the sequence of the transformations are rotation, then translation, and then reflection.
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Place your finger on the origin move 5 units to the right and 4 units up the ordered pair for point a is
Answer:
( x , y ) = ( -1 , - 5 )
Step-by-step explanation:
Answer: The ordered pair would be (5,4)
If I'm wrong, I am very sorry. If I'm right, I hope I helped you with this question. Have a great day!
What are the names of a circle with H
If the length of HJ is 7 unit then the length of EI is 14 unit.
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
We are given a circle with center H.
Therefore, the radius of the circle is found as; HJ
Then the Diameter is the line from one point in the circle to the other point through the center of the circle.
Diameter of the circle = EI
Since we know that One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.
Then the name of the chord is FG.
If the length of HJ is 7 unit then the length of EI is;
EI = 2 HJ
EI = 14 unit.
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Two-thirds of the fruit in a basket are apples. One-fourth of the apples are green apples. What fraction of the fruit in the basket are green apples?
Answer:
1/6
Step-by-step explanation:
2/3*1/4
=2/12
=1/6
PLS GIVE BRAINLIEST
describe the correct error a student made when solving the equation 4=-2(x-3) what is the correc scolution?
Answer:
x =1
Step-by-step explanation: Correct solution
\(4=-2(x-3) \\\\\mathrm{Switch\:sides}\\-2\left(x-3\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x-3\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x-3=-2\\x-3+3=-2+3\\\\Simplify\\x = 1\)
When can we say that the two triangles are congruent?
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
What is congruent?
Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
Here,
we have to prove when can we say that the two triangles are congruent.
SSS, SAS, ASA, AAS, and HL.
These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.
Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
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A rectangular flowebed is 6.1 meters long.and 3.6 meters wide. What is the area of the flower bed? Use the area model to solve?
HELPPPPPPPPPP ME PLSS
Answer:
The first one-in green. 6x4=24, and there are four parts.
Step-by-step explanation:
ages (x) pod essure 56 42 36 47 49 42 60 63 55
blood pressure (Y) 147 125 118 128 145 140 155 160 140 150
a. Determine the least square regression equation of Y on X.
b. Estimate the blood pressure of a woman whose age is 45 years. 72 160
Answer:
Step-by-step explanation:
a. The least square regression equation of Y on X is: Y = 3.08X - 127.82
b. To estimate the blood pressure of a woman whose age is 45 years, we can use the least square regression equation above. Substituting X = 45, we get: Y = 3.08(45) - 127.82 = 143.46. Therefore, the estimated blood pressure of a woman whose age is 45 years is 143.46.
a
"Taiwo and Kehinde are to share
Sum of money in the ratio 4.5.
If taiwo gets 4000.00
What does Kehinde get?
Answer:
500,000
Step-by-step explanation:
Total sum of money = x
Ratio = 4:5
= 4+5
= 9
Taiwo = 4/9 × x
400,000 = 4x/9
400,000 × 9 = 4x × 1
3,600,000 = 4x
Divide both sides by 4
x = 3,600,000/4
x = 900,000
Kehinde = 900,000 - 400,000
= 500,000
Kehinde's money can also be calculated as
Kehinde = 5/9 × 900,000
= 5 × 100,000
= 500,000
another way to write m-9
The expression written in another way is -9 + m
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and constants
How to rewrite the expression in another way?The expression is given as:
m - 9
By the subtraction property of an equation, we have
a - b = -b + a
x - y = -y + x
Using the above equations as a guide, we have
m - 9 = -9 + m
Hence, the expression written in another way is -9 + m
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6x4x8x5=
that is the
What are the domain and range of the function f(x)=-x+3-2? domain: -3 -2 domain: -3 -3 range: y<-2 domain: x>-3 range:y>-2
For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.
The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.
The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).
The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.
So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.
Correct option is D.
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Complete question is:
What are the domain and range of the function f(x)=-x+3-2?
A) domain: -3 -2
B) domain: -3 -3 range: y<-2
C) domain: x>-3 range:y>-2
D) domain : x>-3 range: y ≤ 2
Joyce works at Fortunato's Furniture. She is paid on commission. She receives 10% of her first $1,200 in sales and 15% of the balance of her sales. Last week she earned $950. What was the value of the furniture she sold? show your work.
The total value of the furniture sold by Joyce last week is A = $ 6,733.33
Given data ,
Let's call the value of the furniture Joyce sold "x".
She receives 10% commission on the first $1,200 of sales, which is $120:
Commission on first $1,200 = 0.1 * 1200 = 120
The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:
Remaining sales = x - 1200
She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:
Commission on remaining sales = 0.15 * (x - 1200)
Her total earnings from commission last week was $950. So we can write an equation:
Commission on first $1,200 + Commission on remaining sales = $950
Substituting the expressions we found for the two commissions, we get:
120 + 0.15(x - 1200) = 950
120 + 0.15x - 180 = 950
On simplifying the equation , we get
0.15x - 60 = 950
0.15x = 1010
x = 6,733.33
Hence , the value of the furniture Joyce sold last week was $6,733.33
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Is 5/8 an irrational number.?
Answer:
no
Step-by-step explanation:
an irrational number is a number that can't be expressed in fraction
six increased by the product of a number and 8 is at most -15
Answer:Answer and Explanation: An algebraic expression for the phrase '6 more than the product of 8 and n' is '8n + 6.
Step-by-step explanation:
A principal of $5000 is invested in an account paying an annual rate of 7%. Find the amount in the account after 6 years if the account is compounded semiannually,quarterly, and monthly
The amount in the account after 6 years if the account is compounded semiannually, quarterly, or monthly is 6724.4, 6736.7, and 6664.9.
What is compound interest?
Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
Here, we have
Given: A principal of $5000 is invested in an account paying an annual rate of 7%.
We have to find the amount in the account after 6 years if the account is compounded semiannually, quarterly, or monthly.
A) Compounded semi-annually:
= 5000*(1 + 0.05/2)^(2*6) = 6724.4
B) Compounded quarterly:
= 5000*(1 + 0.05/4)^(4*6) = 6736.7
C) Compounded monthly:
= 5000*(1 + 0.05/12)^(12*6) = 6664.9
Hence, the amount in the account after 6 years if the account is compounded semiannually, quarterly, or monthly is 6724.4, 6736.7, and 6664.9.
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Express in the form 1: n.
Give n as a decimal.
16 : 12
Answer: n will be 4
Step-by-step explanation:
5. Determine the value of t4 in an arithmetic sequence given that t₁ = 11 and S9 = 243.
The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).
We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.
From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:
243 = (9/2)(2(11) + (9-1)d)
243 = 9(22 + 8d)
243 = 198 + 72d
45 = 72d
d = 45/72 = 5/8
Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:
tₙ = a + (n-1)d
t₄ = 11 + (4-1)(5/8)
t₄ = 11 + 3(5/8)
t₄ = 11 + 15/8
t₄ = 88/8 + 15/8
t₄ = 103/8
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Can anybody help me with this pls?
a plane intersects the coordinate axes at the point (2,0,0), (0,3,0) and (0.0.4) the obteined point is ax+by+cz+d, find value of d
Answer:
d = 12
Step-by-step explanation:
In intercept form, the equation of the plane is ...
x/a +y/b +z/c = 1 . . . . . for x, y, z intercepts a, b, c
You have (a, b, c) = (2, 3, 4), so the equation of the plane is ...
x/2 +y/3 +z/4 = 1
Multiplying by 12 gets rid of the fractions and puts the equation in standard form:
6a +4y +3z = 12
The value of d is 12.
Each triangle in the net below has a base of 6 centimeters and a height of 8 centimeters. What is the surface area, in square centimeters, of the figure represented by the net? helpppppp i need help pls
The area of a triangle is 1/2 x base x height.
The area of the triangle is 1/2 x 6 x 8 = 24 square cm.
There are 4 identical triangles so 24 x 4 = 96 square cm.
The area of the square base = 6 x 6 = 36 square cm.
Total area = 96 + 36 = 132 square cm.
the sum of 1/2 and 1/5 is between 1/2 and 1 yes or no
Answer:
no
Step-by-step explanation:
Callyn found the five-number summary of a data set. It was 7, 9, 15, 15, 21. She made the box-and-whisker plot(Image)1. What mistake did Callyn make in her box-and-whisker plot?2. Draw a correct box-and-whisker plot for the five-number summary.
Step 1
In the set of data, Callyn found there are five- numbers 7,9,15,16,21.
Median = 15,
Q1 = ( 7 + 9) / 2 = 8
Q3 = (16 + 21) / 2 = 37 / 2 = 18.5
smallest number = 7
largest number = 21
Hence her mistake was using her Q1 as 9 and Q3 as 16
Step 2: Write out the given values in the graph and plot it
Median = 15,
Q1 = 9
Q3 = (16 + 21) / 2 = 37 / 2 = 18.5
smallest number = 7
largest number = 21