Answer:
[tex]-\dfrac{11}{12}[/tex]
Step-by-step explanation:
[tex]\dfrac{\dfrac{5}{8}+\dfrac{3}{4}}{\dfrac{-2}{3}-\dfrac{5}{6}}=\\\\\\\dfrac{\dfrac{11}{8}}{-\dfrac{9}{6}}=\\\\\\\dfrac{11}{8}\times -\dfrac{2}{3}=\\\\\\-\dfrac{22}{24}=\\\\\\-\dfrac{11}{12}[/tex]
Hope this helps!
The function ƒ(x) = 4x + 1 is transformed to g(x) = 2x + 1. What type of transformation has occurred? A) Reflection and Vertical Translation B) Rotation C) Reflection D) Rotation and Vertical Translation
Answer:
B) Rotation
Step-by-step explanation:
The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.
Answer:
rotation
Step-by-step explanation:
Simplify the radical expression.
- V8n•2 12
The value of the radical expression is A = -3n√12
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = -√8n² ( 12 )
On simplifying , we get
A = -√108n²
Taking the value of n outside , we get
A = -n√108
On further simplification , we get
A = -n3√12
A = -3n√12
Hence , the value of the expression after simplification is A = -3n√12
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One angle is 60 degrees, the other
is 60 degrees, What is my missing
angle? What is
my
first and
last name?
hi this is my first answer
a straight angle has 180°,
here your given angle is 60+60=120°
so your missing angle is 180-120=60°
Step-by-step explanation:
The missing angle is 60° (180 - 60 - 60=60)
Its name: equilateral triangle
A parking lot has four sides. One pair of opposite sides are 100 yards long. The other two sides are 60 yards long. The distance from one end of the longer side to the opposite end of the shorter side is 120 yards. Is the parking lot a rectangle? Answer the questions below to find out.
5. If the distances given form a right triangle, which number is the hypotenuse, and why?
6. Which numbers are the two sides?
Answer:
The parking lot does not form a rectangle.
Step-by-step explanation:
Given: One pair of opposite sides of parking lot are 100 yards long. The other two sides are 60 yards long.
The distance from one end of the longer side to the opposite end of the shorter side is 120 yards.
To find: If the distances given form a right triangle?
Also, to find the hypotenuse and the numbers which represent the two sides.
Solution:
In a triangle, if the square of the length of the longest side is equal to the sum of the squares of the other two sides, then the triangle is said to be a right angled triangle.
[tex](60)^2+(100)^2=3600+10000=13600\\(120)^2=14400\\\therefore (60)^2+(100)^2\neq (120)^2[/tex]
So, the triangle is not a right angled triangle.
So, none of the angles of the parking lot forming a quadrilateral is equal to [tex]90^{\circ}[/tex].
Hence, the parking lot is not a rectangle although the opposite sides are equal.
(A quadrilateral in which opposite sides are equal such each angle is [tex]90^{\circ}[/tex] is a rectangle )
The distances given do not form a right triangle.
calculate the surface area of the following shape
1. 450cm2
2. 294cm2
3. 358cm2
4. 716cm2
Answer:
210cm2
Step-by-step explanation:
Area of rectangle: HxW
Area of Triangle: 1/2 x bx h
There are 3 rectangles with the length of 14x3
14x3x3
= 14x9
= 126cm2
There are two triangles with the height of 12 and base of 14.
1/2x 14x 12
= 1/2x 168
= 168/2
= 84cm2
Now finally add them together:
84+126
= 210cm2
Nathan bought 2 sandwiches and a beverage. each sandwich cost 4.75 and the beverage cost 1.29. how much change does Nathan get back if he pays with a 20 bill
Answer:
9.21
Step-by-step explanation:
Answer:
Nathan has 9.21 change if he pays a 20 bill.
Step-by-step explanation:
Which line has a y-intercept of –2?a)
both ℓ and t
b)
t
c)
ℓ
d)
p
Answer:
P
Step-by-step explanation:
It passes through -2 on the y-axis
HOPE THIS HELPS! (:
which inequality is represented by this graph
Answer:
im pretty sure the second option is correct
Step-by-step explanation:
the open circle means the is greater than or equal to
since the arrow is pointing to the right that means that x is greater than
2y+ 18x = 2x(x +9)
Please show work!
Answer:
Step-by-step explanation:
[tex]2y+18x=2x\left(x+9\right)\\Parabola\:standard\:equation\\4p\left(yk\right)=\left(xh\right)^2\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:parabola\:with\:vertex\:at}\:\left(h,\:k\right), \\\mathrm{and\:a\:focal\:length\:}\:|p|\\\mathrm{Rewrite}\:2y+18x=2x\left(x+9\right)\:\mathrm{in\:the\:standard\:form}\\2y+18x=2x\left(x+9\right)\\\mathrm{Rewrite\:as}\\2y=2x\left(x+9\right)-18x\\\mathrm{Divide\:by}\:2\\y=x^2\\\mathrm{Rewrite\:in\:standard\:form}[/tex][tex]4\cdot \frac{1}{4}\left(y-0\right)=\left(x-0\right)^2\\Therefore\:parabola\:properties\:are:\\\left(h,\:k\right)=\left(0,\:0\right),\:p=\frac{1}{4}[/tex]
What is the solution to this system of linear equations? 2x + 3y = 3 7x – 3y = 24 (2, 7) (3, –21) (3, –1) (9, 0)
2x +3y=3
7x-3y=24
solve the above equations
2x+3y=3
+7x-3y=24
9x=27
x=27/9
x=3
substitute the value of x in 2x+3y=3
2(3)+3y=3
6+3y=3
3y=3-6
3y=-3
y=-3/3
y=-1
so the solution is
{x=3,y=-1}
Answer:
C : (3, -1)
Step-by-step explanation:
What is the product?
(5 r + 2)(3 r minus 4)
15 r squared + 8
15 r squared minus 8
15 r squared + 14 r minus 8
15 r squared minus 14 r minus 8
________________________________
Hey!!
Solution,
(5r+2)(3r-4)
= 5r(3r-4)+2(3r-4)
= 15r^2-20r+6r-8
= 15r^2-14r-8
So the right answer is 15 r squared minus 14 r minus 8
Hope it helps
Good luck on your assignment
_________________________________
Answer:
15 r squared minus 14 r minus 8
Step-by-step explanation:
from my understanding that what I think it is :) have an awesome day!!!!!!
Find the explicit formula for the geometric sequence. Then find a8.
4, 8, 16, 64, ....
Which Answer is Correct:
A) an = 4 ⋅ rn – 1; 1,024
B) an = a1 ⋅ 2n – 1; 256
C) an = 4 ⋅ 2n – 1; 512
D) an = 2 ⋅ 4n – 1; 512
Answer:
Step-
Honey it c !!!!………!l║.by-step explanation:
The explicit formula for the given "geometric-sequence" is aₙ = 4 × 2ⁿ⁻¹, and the eight term is 512, Option(c) is correct.
To find the explicit formula for a geometric-sequence, we need to find the common ratio between any two consecutive terms.
In this sequence, we can see that each term is obtained by multiplying the previous term by 2. So, the "common-ratio" is 2.
We also know the "first-term" is 4, so we use the formula for the nth term of a geometric sequence which is : aₙ = a₁ × rⁿ⁻¹,
Substituting the values,
We get,
⇒ a₈ = 4 × 2⁽⁸⁻¹⁾
⇒ a₈ = 4 × 2⁷
⇒ a₈ = 512,
Therefore, the correct answer is (c) aₙ = 4 × 2ⁿ⁻¹; 512.
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The given question is incomplete, the complete question is
Find the explicit formula for the geometric sequence. Then find a₈.
4, 8, 16, 32, 64,....
Which Answer is Correct:
(a) aₙ = 4 × rₙ - 1; 1024
(b) aₙ = a₁ × 2ⁿ⁻¹; 256
(c) aₙ = 4 × 2ⁿ⁻¹; 512
(d) aₙ = 2 × 4ⁿ⁻¹; 512
simplify 2[3-5(2+1)2+5]
the last 2 is 2nd
Answer:
uydfg
Step-by-step explanation:
hkbchjsbchvuhc
Answer:
-44 im pretty sure
help me plz asap ill mark u brainliest
Answer:
b
Step-by-step explanation:
this is because 1 3/4 is equal to 7/4 which we can round to 2. so it says she rode back and forth to school so that would be 2 + 2 and she did that 5 times
this means that the final answer 5 * ( 2 + 2 )
The distance between two parks on a city map is 1.8 inches. The actual distance between Parks is 2 miles. In the same city, the distance from the library to the post office 0.8 mile
Answer:
0.72 inch on the map.
Step-by-step explanation:
[tex]\frac{1.8}{2} =\frac{x}{0.8}\\x=0.9 \times 0.8=0.72 ~inch[/tex]
What is the area of the triangle?
3
2
6
Answer:
A = 6 units^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
A = 1/2 (6)(2)
A = 6 units^2
Answer:
6 units^2
Step-by-step explanation:
The area of a triangle can be found using the following formula.
a=(bh)/2
where b is the base and h is the height. In this triangle, we know that 6 units is the base. We also know that 2 units is the height, because the height should form a right angle(little square) with the base.
b=6
h=2
Substitute these values into the formula.
a=(6*2)/2
Multiply 6 and 2 first.
a=12/2
Divide 12 by 2
a=6
Add appropriate units. Area always has the unit squared.
a= 6 units^2
The area of the triangle is 6 square units.
A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd scores a 55 on the test. Select the answer from the drop-down menu to correctly complete the statement. Based on the mean of 70 and his raw score of 55, Todd’s z-score must be
Answer:
Todd's Z-score is - 0.27
Step-by-step explanation:
Explanation:-
Step(i):-
Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.
Mean of the population 'μ' = 70
Standard deviation of the Population ' σ ' = 10
let 'x' be the random variable in normally distributed
Step(ii):-
Given raw score 'x' = 55
Todd's Z-score
[tex]Z = \frac{x-mean}{S.D}[/tex]
[tex]Z = \frac{55-70}{55}[/tex]
Z = -0.27
Final answer:-
Todd's Z-score is - 0.27
A jar of marbles has 23 red marbles, 12 white marbles, 18 yellow marbles and 28 black marbles. What are the chances of the following:
1) Picking a black marble?
2) Picking a purple marble?
3) Picking a red or white marble?
4) Picking a marble whose color has 5 letters in it?
Answer:
1.) Chances of picking a black marble: 28/81 or 34.6%
2). 0/81 chances of picking a purple marble or 0%
3.) Chances of picking a red or white marble: 35/81 or 43.2%
4.) Chances of picking a marble whose color has 5 letter in it: 40/81 or 49.4%
True or false cause I honestly forgot
Answer:
false
Step-by-step explanation:
5 cant be put into 2
Answer:
not a function
Step-by-step explanation:
Since one input goes to two different outputs, this is not a one to one correspondence, then this is not a function
Choose the product. -5p 3(4p 2 + 3p - 1) -20 p 5 + 3 p - 1 -20 p 5 - 15 p 4 + 5 p 3 20 p 5 + 15 p 4 - 5 p 3 -20 p 6 - 15 p 4 - 5 p 3
Answer:
20 p^5 + 15 p^4 - 5 p^3
Step-by-step explanation:
5p^3(4p^2 + 3p - 1)
Distribute
20 p^5 + 15 p^4 - 5 p^3
Answer:
- 20 p^5 - 15 p^4 + 5 p^3
Step-by-step explanation:
= - 5p^3(4p^2 + 3p - 1)
= - 20 p^5 - 15 p^4 + 5 p^3
Hope this helps!
The coordinate of point B is -6 and the coordinate of point E is 2.
Find the length of segment BE.
Answer:
4
Step-by-step explanation:
just because i just took it
Write the quadratic expression -16t2 − 8t + 24 in factored form.
Hope this helps! : )
Which of the following is a Pythagorean triple?
A. (5, 12, 13)
B. (1, 1, 2)
C. (3, 4, 6)
D. (5, 8, 10)
Answer:
A
Step-by-step explanation:
Perhaps you know of the {3, 4 ,5} Pythagorean triple.
Pythagoras stated a² + b² = c²
so checking for A:
a² + b² = c²
5² + 12²
25 + 144 = 169 which is 13²
Only answer A. (5, 12, 13) is a Pythagorean triple.
The others are not.
The correct answer for Pythagorean triple are (5,12,13). The correct option is A.
A Pythagorean triple is a set three positive integers (a, b, c) that validates the Pythagorean theorem, According to which in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagorean theorem can be written as:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Check each option:
A. (5, 12, 13)
=[tex]5^{2} +12^{2} \\[/tex]
= [tex]25 + 144[/tex]
= 169
[tex]= 13^{2} \\= 169[/tex]
Since both sides are equal (169 = 169), this is a Pythagorean triple.
B. (1, 1, 2)
[tex]1^{2} +1^{2} \\= 1+1\\= 2[/tex]
[tex]= 2^{2} \\= 4[/tex]
The two sides are not equal (2 ≠ 4), so this is not a Pythagorean triple.
C. (3, 4, 6)
[tex]3^{2} +4^{2} \\= 9 + 16\\= 25[/tex]
[tex]=6^{2}[/tex]
[tex]= 36[/tex]
The two sides are not equal (25 ≠ 36), so this is not a Pythagorean triple.
D. (5, 8, 10)
[tex]= 5^{2} +8^{2}\\= 25 + 64\\= 89[/tex]
[tex]= 10^{2} \\= 100[/tex]
The two sides are not equal (89 ≠ 100), so this is not a Pythagorean triple.
The correct answer is (5,12,13). The correct option is A.
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A distribution in which the mean, mode, and median are nearly equal is called a ___________
distribution
a. bimodal
b. flat
c.normal
d. skewed
Answer:
C) Normal distribution
Step-by-step explanation:
We are supposed to find A distribution in which the mean, mode, and median are nearly equal
A) bimodal
Bimodal distribution is a statistical pattern in which the frequencies of values in a sample have two distinct peaks, even though parts of the distribution may overlap.
B) Flat
A flat distribution can be said either to have no tails, or to have short tails.
C) Normal
A distribution in which the mean, mode, and median are nearly equal is called a normal distribution
D)Skewed
A left-skewed, negative distribution will have the mean to the left of the median.
A right-skewed distribution will have the mean to the right of the median.
Hence Option C is true
Answer:
its c on usatestprep
The volume of a cylinder is 441 cubic centimeters and its radius is 7 centimeters.
What is the height of the cylinder?
Enter your answer in the box.
Answer:
689 ft
Step-by-step explanation:
Answer:
2.86
Step-by-step explanation:
h=V
πr2=441
π·72≈2.86479
Can someone help me ASAP
Answer:
36 ft.
Step-by-step explanation:
Use the Pythagoras Theorem.
h^2 = 10^2 + 24^2
h^2 = 676
h = √676
h = 26 ft.
Original height = 10+26 = 36 ft.
Answer:
D. 36 ftStep-by-step explanation:
the TRee form with the ground a right triangle
let’s calculate the length of the upper part of the tree which is the hypotenuse of the triangle:
now ,using the Pythagorean theorem we get :
upper part = √(10²+24²)
= 26
then
the original height of the tree
= 10 + 26
= 36 ft
Let f(x)=3x + 5 and g(x) = 3x2 - x - 10. Find (f/g)(x) and state it’s domain
Answer:
9x²-3x-25, Domain is all real numbers
Step-by-step explanation:
f(g(x)) = 3(3x²-x-10)+5
= 9x²-3x-30+5
= 9x²-3x-25
Domain is all real numbers
What is the equation of the graphed line?
a. y = 4x - 6
b. y = -4x + 6
c. y = 2/3x - 4
d. y = 3/2x - 4
Answer:
its c
Step-by-step explanation:
-4 is the y- intercept form and 2/3 is the slope
Answer:
C.
Step-by-step explanation:
Y intercept is -4 so a. and b. are out right away
the slope is up two over three so change in Y over change in X
A car is traveling at 60 kilometers per hour. How many kilometers
does the car cover in 7 hours?
Answer:
the answer is 420km.
Step-by-step explanation:
Given speed of car =60km/hr
then,distance travelled in 7hours
=speed×time
=60×7=420
=distance 420 km.
Divide: Multiple chocie PLEASE HELP
Answer:
p+q
Step-by-step explanation:
[tex]\dfrac{p^2-q^2}{p+q}\div\dfrac{p-q}{p+q}= \\\\\\\dfrac{(p-q)(p+q)}{p+q}\times \dfrac{p+q}{p-q}= \\\\\\\dfrac{(p-q)(p+q)}{p-q}= \\\\\\p+q[/tex]
Hope this helps!
Answer:
p+q
Step-by-step explanation:
We can use difference of squares to make the fractions
[tex]\frac{(p+q)(p-q)}{(p+q)} *\frac{p+q}{p-q}[/tex]
Since dividing is the same as multiplying bt the reciprocal
The (p+q) and the (p-1) cancel out so we are left with (p+q)