Answer:
5 feet.
Step-by-step explanation:
We have been given that about 15 feet from the center of the carousel. Allison rode a horse about 10 feet from the center of the carousel.
To find the distance covered by Carl's horse more than Allison's horse we will subtract covered by Allison's horse from the distance covered by Carl's horse.
This is the question about circle in geometry.
Answer:
A cicle centered in the origin has equation.
[tex]x^2+y^2=r^2\\4^2+1^2=r^2\\r=\sqrt{17}\\ \\\sqrt{5}^2+\sqrt{2}^2\neq \sqrt{17}^2\\ 7\neq 17[/tex]
The point does not lies on the circle
What is the product?
(6 r minus 1)(negative 8 r minus 3)
negative 48 r squared minus 10 r + 3
negative 48 r squared minus 10 r minus 3
negative 48 r squared + 3
negative 48 r squared minus 3
Answer:
The answer is option 1.
Step-by-step explanation:
You have to use Distributive Laws,
[tex]a(b + c) = ab + ac[/tex]
So for this question :
[tex](6r - 1)( - 8r - 3)[/tex]
[tex] = 6r( - 8r) + 6r( - 3) - 1( - 8r) - 1( - 3)[/tex]
[tex] = - 48 {r}^{2} - 18r + 8r + 3[/tex]
[tex] = - 48 {r}^{2} - 10r + 3[/tex]
The product of the expression is (6r - 1) (-8r - 3) is negative 48 r squared minus 10 r + 3.
What is an algebraic expression?Algebraic expression is a mathematical equation in which one or both sides is an algebraic expression, such as 2x + 7y = 3.
According to this question, the following expression is given:
(6r - 1) (-8r - 3)
6r × -8r = -48r²- 1 × -8r = 8r6r × -3 = -18r-1 × -3 = 3Therefore, the product of the expression is -48r² -10r + 3
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Solve the quadratic equation by taking square roots.
1. 2x 2 - 16 = 0
2. -5x2 + 9 = 0
3. 6x2 - 15 = 27
Answer:
see explanation
Step-by-step explanation:
1
Given
2x² - 16 = 0 ( add 16 to both sides )
2x² = 16 ( divide both sides by 2 )
x² = 8 ( take the square root of both sides )
x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]
------------------------------------
2
Given
- 5x² + 9 = 0 ( subtract 9 from both sides )
- 5x² = - 9 ( divide both sides by - 5 )
x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]
-----------------------------------------
3
Given
6x² - 15 = 27 ( add 15 to both sides )
6x² = 42 ( divide both sides by 6 )
x² = 7 ( take the square root of both sides )
x = ± [tex]\sqrt{7}[/tex]
what is the discriminant of f(x)=-x^2-x+5?
a.-21
b.0
c.2
d.21
Answer: d. 21
Step-by-step explanation:
The formula to find a discriminant is b^2-4ac.
ax^2+bx+c is the quadratic equation. In your equation, -1 is a, -1 is b, and 5 is c. Now we can plug in the numbers into the discriminant formula b^2-4ac!
(-1)^2-4(-1)(5)=
1-4(-5)
1+20
21
The discriminant is 21.
Hope this helps!
the sum of two integers is 19. the larger of the two numbers is 3 more than 3 times the smaller integer. what are the integers
Answer:
4 an 15
Step-by-step explanation:
The two integers whose sum is 19 and the larger of the two numbers is 3 more than 3 times the smaller integer are 4 and 15 respectively.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The smaller interger be 'x'.
So, The larger integer is 3x + 3.
Given, The sum of two integers is 19.
Therefore, x + 3x + 3 = 19.
x + 3x + 3 = 19.
4x = 16.
x = 4, Hence the larger integer is 15.
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A Professor at a University sent his phone number in a disorderly manner to his students. The disordered phone number was 64001128454.
To know his real phone number, he gave the student the following conditions:
1. Eight (8) must come between two zeros (0's).
2.The first number after the first condition is met must not be an odd number and it must be greater than 5.
3. The seventh number must be 1.
4. The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.
5. The fifth and sixth numbers are greater than 2.
6. The ninth and tenth numbers are the same.
7. The eighth number is greater than the last number.
8. The phone number must be 11 digits.
What was the Professor's real phone number?
Answer:
I found 608054144112
If the number isn't found by the given condition, write a variable to advance. but it is comfortable to solve if you follow them one by one
A rectangle has a length 3x-1 and a width 2x. What is the perimeterof the rectangle
The perimeter of rectangle is 10x-2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
Answer:
10x-2
Step-by-step explanation:
We know the length is 3x-1. There are two lengths in a rectangle. Therefore, we multiply 3x-1 by 2 to get 6x-2. That is the sum of the two lengths.
Now for the width. Just as with the length there are two widths in a rectangle. After multiplying 2x by 2, we get 4x. That is the sum of the two widths.
To get the perimeter, we need to add both the lengths and both the widths together. Using what we did before, we add 4x + 6x - 2 to get 10x - 2 Hope this helps :)
Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x, and log y.
log x^3 y^4
Answer:
log x³ y⁴ = 3 log ( x ) + 4 log( y)
Step-by-step explanation:
Given function log x³ y⁴
step(i):-
Applying logarithmic formula
log ( a b ) = log (a) +log (b)
log x³ y⁴ = log ( x³ ) + log( y⁴)
step(ii):-
Applying logarithmic formula
log (x ⁿ) = n log x
log x³ y⁴ = log ( x³ ) + log( y⁴)
log x³ y⁴ = 3 log ( x ) + 4 log( y)
final answer:-
log x³ y⁴ = 3 log ( x ) + 4 log( y)
please help and explain i will mark brainliesttt!
Answer:
y=(8/5)x-(24/5)
Step-by-step explanation:
lets find the slope
m=(y2-y1)/(x2-x1)
m=(8-0)/(8-3)
m=8/5
y=(8/5)x+b
lets find b, the y-int by plugging in a point
0=(8/5)*3+b
0=24/5+b
b=-24/5
y=(8/5)x-(24/5)
Rosalia went on a long bike ride. The table shows how long she biked and the distance she
traveled. Determine whether the relationship between hours biked and miles traveled is
proportional.
-91
O The relationship is not proportional.
O The relationship is proportional.
Answer:
The relationship is not proportional.
Step-by-step explanation:
To see if many ratios are (fair in amount, related to something else/properly sized compared to something else), you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have (fair in amount, related to something else/properly sized compared to something else) ratios.
y/x=c.o.p
c.o.p=constant of proportionality.
the rate of change also know as the constant of (fair in amount, related to something else/properly sized compared to something else)ity (k = y/x) which is the constant ratio between two (fair in amount, related to something else/properly sized compared to something else) amounts y/x represented by the symbol k which may be a positive clear and sensible number. The x value is related to the y value such as in the equation y = kx.
please mark me brainliest:)
If a man weighs 300 pounds on Earth, his mass on Earth is 136 kilograms. What would his mass be if he was on the moon?
PLEASE HELP ASAP!!
Kaylee solves the equation below by first squaring both sides of the equation.
[tex]1-y=\sqrt{2y^{2} -7}[/tex]
What extraneous solution does Kaylee obtain?
y=???
Answer:
2
Step-by-step explanation:
Its an extraneous solution, not a normal solution. It shouldn't be -4, it should be 2.
The extraneous solution obtained by Kaylee is y = 4.
To solve the equation, let's follow Kaylee's approach and square both sides:
[tex](1 - y)^2 = (2y^2 - 7)[/tex]
Expanding the left side:
[tex]1 - 2y + y^2 = 2y^2 - 7[/tex]
Rearranging the equation and combining like terms:
[tex]y^2 - 2y^2 + 2y - 1 - 7 = 0\\\\-y^2 + 2y - 8 = 0[/tex]
Now, to solve this quadratic equation, we can factor it:
-(y - 4)(y + 2) = 0
Setting each factor equal to zero:
y - 4 = 0 or y + 2 = 0
Solving for y in each equation:
y = 4 or y = -2
However, we need to check if these solutions are extraneous by substituting them back into the original equation:
For y = 4:
[tex]1 - 4 = \sqrt{2(4^2) - 7}\\\\-3 = \sqrt{32 - 7}\\\\-3 = \sqrt{25}[/tex]
-3 ≠ 5
For y = -2:
[tex]1 - (-2) = \sqrt{2(-2^2) - 7}\\\\3 = \sqrt{8 - 7}\\\\3 = 1[/tex]
From the above analysis, we see that when y = 4, it leads to an extraneous solution, as it does not satisfy the original equation.
Therefore, the extraneous solution obtained by Kaylee is y = 4.
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I put in 6.32 for A but it’s still saying it’s wrong and I need the √ , I only need to answer this right to pass my summer school class someone please help me !
Answer:
A = 2 (on the left). 10 (on the right)
Step-by-step explanation:
Use pythgaros therom
Do 7^2 - 3^2 = 40
Do square root of 40 which equals the answer
F(x)=x^2+10 what is the average rate of change of f over the Interval [-2,-1]?
Answer: -3
Step-by-step explanation:
The average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. All we have to do is to plug in our values.
a=-2
b=-1
f(b)=f(-1)=(-1)²+10=11
f(a)=f(-2)=(-2)²+10=14
With our values listed, all he have to do is to plug them in.
[tex]\frac{11-14}{-1-(-2)} =\frac{-3}{1}=-3[/tex]
hank scored 10% extra on his 30 point assignment how many extra points did he earn?
Answer:
3
Step-by-step explanation:
10% of 30 = 3
Can someone help me with these 2 questions?
Answer:
3: x = 3 4: y = 8
Step-by-step explanation:
Problem 3:
Because of the lines on each side of the rhombus, that shows you that all of those lines are congruent with each other, meaning they are all the same length. So since one side equals the other, you can equal one of the equations on one side to another equation on another side. EX: x+5 = 3x-1. And then you solve that through multi-step equations.
Problem 4:
Just like on Problem 3, due to the little dashes going through the sides of the rectangle, the sides are congruent (the same length) as one another. Except the sides with one dash are not congruent with the sides with two dashes. But if you equal 2y and y+8, then you can solve that through multi-step equations again and get y = 8 since they are congruent with each other (due to the singular dashes running through their sides).
Hope this helped!
What is x ?
f(x)=−3
x = ?
What are the domain and the range of this function?
D : _ _ x: _ _
R: _ _ Y: _ _
for a test
d: -5_<x<1
r: -4_<y<7
D: negative five is less than or equal to x is less than one
R: negative four is less than or equal to y is less than seven
Directions - Find the degree of the monomial.
-4xyz~3
Degree =
Answer:
5
Step-by-step explanation:
To find the degree of a monomial, add the values of all the exponents together. In this example, x and y both have an exponent of 1. the exponents of x + y + z is 1 + 1 + 3. The degree is 5. Hope this helps!
HELP FOR BRAINLIEST ANSWER Ben bowled 126 and 220 in his first two games. What must he bowl in his third game to have an average of at least 190?
Answer:
224
Step-by-step explanation:
I used an average calculator and tried every possibility, adding 224 in results in an anverage of exactly 190.
Answer:
224
Step-by-step explanation:
190x3=570
570-126-220=224
So ben must bowl a 224
PLEASE HELP! ITS DUE TODAY! PLEASEEEE
Answer:
if i'm not mistaken its variation
Which of the following is a TRUE statement about the triangle below?
Answer:
it is an acute triangle
Step-by-step explanation:
angle M is 180 - 44 - 77 = 59
since all angles are less than 90 degree, thus is an acute triangle
Solve all these math questions and brainliest is yours! First come first valid answer will be brainliest. Include the measurements like cm, ft, m, etc
Answer:
Step-by-step explanation:
trapezoid
A=(B1+B2)/2*h
kite
A=(pq)/2
1)((3+5)/2)*4
(4/2)*4
2*4
8 cm^2
2)
(10*10)/2
100/2
50 cm^2
3)
(14*8)/2
112/2
56m^2
4)
((10+15)/2)*6
(25/2)*6
25*3
75in^2
5)
(14*16)/2
224/2
112 ft^2
6)
((24+13)/2)*9
(37/2)*9
18.5*9
166.5 mm^2
7)
((36+60)/2)*30
(96/2)*30
96*15
1440 in^2
8)
(12*12)/2
144/2
72cm^2
9)
28=(14*2x)/2
28=7x
x=4m
10)
((8+4)/2)*4
(12/2)*4
6*4
24 ft^2
Can someone help me on these 2 questions?
Answer:
1. y=3
2. z= 27/4 or 6.75
a right triangle has a leg of 3 feet and hypotenuse of 4 feet. what is the length of the other leg? enter your answer, as a decimal rounded to the nearest tenth, in the box?
Answer: 2.6
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9 + b^2 = 16
b^2 = 7
b = 2.6
Answer:
√7 = 2.6
Step-by-step explanation:
a²+b²=c²
9+b²=16
b²=7
the table below represents the function f
Answer:
1
Step-by-step explanation:
I belive its one because 3^2 is 9 and 9+1 = 10
to make sure it not just once 3^3 is 27 and 27+1=28
Find the coordinates of the midpoint of the segment in the picture
above.
O a. (-.5, 3)
o b. (-3.5, -2)
O C. (-4.5, -1)
O d. (-7,-4)
The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth.
Answer:
≈ 0.7% error
Step-by-step explanation:
To solve for percent error, first you have to do 0.1354-0.1364 and take the absolute value, which is 0.001.
Then, divide 0.001 by 0.1364, and then multiply by 100, and the answer is 0.007331378299.
The percent error is approximately 0.7%
Does anyone know how to solve these two math problems??!
Answer:
1. x = -1
2. y = -3
Step-by-step explanation:
1. 5(5x+2) = 4(x+3)
5-5x+2 = 4x+12
5-5x+2 = 4x+12
-5x+3 = 4x+12
-3 -3
-5x = 4x+9
-4x -4x
-9x = 9
x = -1
2. -3³-2(2y-2) = 5y+4
-27-4y+4 = 5y+4
-4y-23 = 5y+4
-4 -4
-4y-27 = 5y
+4y +4y
-27 = 9y
y = -3
Answer:
1. 4.17
2. -2.2
Step-by-step explanation:
Steps For Number 1
1. solve put 5x and 1 together, then put two and three together.
5 - 6x +5 = 4
2. 6x + 5 =
x= 0.83
5 - 0.83 = 4.17
Steps For Number 2
1. -3^3 = -9
2. -9 - 2(2y-2) = 5y +4
3. solve for y in 2y -2
y = 0
4. -9 - 2 = -7
5. -7 = 5y +4
5y +4 =-7 solve
-4 = -4
5y = -11 divide 5 by both
Please help with my math
Answer: 9x-20
Step-by-step explanation:
The function is [tex]f(x)=3x-5[/tex], in order to obtain f(f(x)) you have to replace x in the function by the function itself:
[tex]f(f(x))=3(3x-5)-5=9x-15-5=9x-20[/tex]
