The graph of the piecewise function f(x) is shown.
1 f(x)
Answer:
In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving that lines l and m are parallel.
A rhombus is a special parallelogram. Which are true about a rhombus that is not true about all parallelograms? Pick up to 3 answers. A. Diagonals create a right angle where they interesect B. All sides are congruent C. Diagonals bisect vertex angles D. Diagonals are congruent E. Opposite angles are congruent
The statement that is true about a rhombus that is not true about all parallelograms are as follows;
Diagonals create a right angle where they intersect All sides are congruent Diagonals bisect vertex anglesDiagonals of a rhombus are perpendicular bisector of each other. This means they form a right angle where they intersect.
This is not true for parallelograms. The diagonal only bisects each other.
All sides are congruent for a rhombus .
This is not true for a parallelogram. Only opposite sides are congruent for a parallelogram.
The diagonal bisect the vertex angles of the rhombus.
This is not true for a parallelogram.
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What is the probability that out of 125 babies born, at least 50 will be girls?
Assume that boys and girls are equally probable, and round your answer to the nearest tenth of a percent.
A. 70.4%
B. 99.0%
C. 10.5%
D. 51.2%
You're answer would be 99.0%.
Suppose that $2000 is placed in an account that pays 2% interest compounded each year. Assume that no withdrawals are made from the account.
The amount in the account after 1 year is $2,040.00
The amount in the account after 2 years is $2,080.80
What is future value of a single cash flow?
The future value of a single cash flow like the $2,000 is the future equivalent worth of the initial amount when interest earned is added to it.
The future value in this case can be determined as shown thus:
FV=PV*(1+r)^N
FV=unknown future value
PV=initial investment=$2000
r=interest rate=2%
N=years of investment , 1 and 2 years respectively
FV after one year:
FV=$2000*(1+2%)^1
FV=$2,040.00
FV after two years:
FV=$2000*(1+2%)^2
FV=$2,080.80
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Full question:
Suppose that $2000 is placed in an account that pays 2 % interest compounded each year. Assume that no withdrawals are made from the account.
Find the amount after one year. Find the amount after two years
3.03Quiz:circles
The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)
What is the equation of the circle in standard form?
Answer:
yung nasa pic sagut sa⇩
The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)
What is the equation of the circle in standard form?⇩
-Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.
thank me later♡
Whats the median, mode and range of 6, 8, 10, 10?
Answer:
Median: 9
Mode: 10
Range: 4
Step-by-step explanation:
Median
Line up all the numbers from smallest to biggest and take the one in the middle. In this case it's both 8 and 10. So you would do (8+10)/2. which is 9
Mode
it's the number that occurs the most number of times, which is 10.
Range
Range is 10-6, so it's 4.
A mean is an arithmetic average of a set of observations. The mean, median, and the range of the given data set 6, 8, 10, 10 are 8.5, 9, and 4 respectively.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
The mean, median and range of the given data set 6, 8, 10, 10 is,
Mean = (6+8+10+10)/4 = 8.5Median = 9Range = 10-6 = 4Hence, the mean, median, and the range of the given data set 6, 8, 10, and 10 are 8.5, 9, and 4 respectively.
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[tex](3a^{3} -7b^{3} )^{2}=[/tex]
Answer:
Step-by-step explanation:
1.02 = _____ hundredths
PLEASE HELP GIVING BRAINLIEST :)
HELP PLEASE ILL GIVE U BRAINLIEST
Answer:
number 3
Step-by-step explanation:
angleNGL=~angleHGF
Answer:
NG≅GF
Step-by-step explanation:
Since the side has to be in between the two angles so it from a ASA
The angles ∠N is the same as ∠F and ∠NGL is the same as ∠HGF
If
x
=
5
and
y
=
7
, evaluate the following expression:
100
−
3
(
3
y
−
4
x
)
Answer:
97
Step-by-step explanation:
100-3(3y-4x)
97(3×7-4×5)
97(21-20)
97(1)
=97
if you subtract 15 from a number and multiply by-6, the result is -54. What is the number?
Answer:
24
Step-by-step explanation:
You do the opposite of whats states -54 divided by -6 because it says the number was multiplied which gives us 9 then since 15 was subtracted we instead add 15 which equals 24.
Answer:
the number is -5.7
Step-by-step explanation:
do everything in reverse operations,
-54 divided by -6= 9.3
9.3-15= -5.7
For proof you can do it yourself on a calculator.
Can anyone please answer this question properly with explanation
I need explanation
EXPLANATION
DONT ANSWER IF YOU DON’T HAVE A EXPLANATION PLEASE
Answer: See below.
Step-by-step explanation:
We'll assume the top and bottom lines are parallel. That means angles 4 and 5 are 90 degrees since the line coming down is perpendicular to the parallel line. The sum of angles 1 and 2 is also 90°. The interior angles of a triangle must add to 180°. So far we have two: 90° and 60°. The third must therefore be 30°(angle 2). Angle 3 must be 120° since it shares a straight line with the 60° angle and the straight line is 180° from one side to the other. Angle 1 must be (90°- angle 2), which makes it 60°.
1. 60°
2. 30°
3. 120°
4. 60°
5. 90°
(ASAP) I HAVE C- IN MATH RIGHT NOW AND I NEED TO GET UP MY GRADE PLSSS HELP
Answer:
Step-by-step explanation:
The product of a number, n, and 0.4 is 8:
(n)(0.4) = 8
n = (8/0.4)
n = 20
worth 30 pts pls helppp
Answer:
Step-by-step explanation:
it is blank
6th attempt on posting this question and getting an answer :,)
Help haha..?
Answer:
GCF: (x + 2)(9x + 6)
Step-by-step explanation:
Given the algebraic expression, 9x(x + 2) + 6(x + 2), where the greatest common factor (GCF) must be taken out:
Solution:Since (x + 2) are common between the two groups, then we can group 9x and 6 together.
In other words:
= 9x(x + 2) + 6(x + 2)
= (9x + 6)(x + 2)
If we perform the FOIL method onto (9x + 6)(x + 2), it will result in the following trinomial:
(9x + 6)(x + 2)
= 9x² + 18x + 6x + 12
= 9x² + 24x + 12
Verify Solution:In order to see why this works, let's go back to the original problem, as if we're trying to determine the resulting trinomial:
Given: 9x(x + 2) + 6(x + 2)
Distribute 9x and 6 into the parenthesis:
= 9x² + 18x + 6x + 12
Combine like terms:
= 9x² + 24x + 12 ⇒ As we can see, this trinomial matches our solution.
Therefore, the correct answer is: (x + 2)(9x + 6).
16+16×5+7+7+7+7+7+7+7+7+7+7+7+7
Answer:
180
Step-by-step explanation:
[tex]16+16*5+7+7+7+7+7+7+7+7+7+7+7+7\\16+80+7+7+7+7+7+7+7+7+7+7+7+7\\16+80+84\\180[/tex]
Answer:
180
Step-by-step explanation:
What is the equation of the given line in standard form? Use integer coefficients.
y=-1.7x + 8.5
A.)17x + 10y = 85
B.)-17x + 10y = 85
C.)-17x + 10y = -85
D.)17x+10y = -85
Answer:
A
Step-by-step explanation:
y = - 1.7x + 8.5 ( add 1.7x to both sides )
1.7x + y = 8.5 ( multiply through by 10 )
17x + 10y = 85 → A
Caroline leaves her apartment and walks 45° north of west for 1000 feet and then walks 200 feet due north to go to the grocery store. How far and at what north of west
quadrant is Caroline from being at her apartment?
Answer:
1150 ft W 52° N
Step-by-step explanation:
There are several ways a problem like this can be solved. Perhaps the easiest is to make use of a suitable vector calculator.
Using West as the reference for angles measured clockwise (toward north), the final position is ...
1000∠45° +200∠90° = 1150.149∠52.063°
__
You can also figure this using the Law of Cosines. It will tell you the resultant distance (c) in terms of the individual distances (a, b) and the angle between them (135°).
c² = a² +b² -2ab·cos(C)
c² = 1000² +200² -2·1000·200·cos(135°) ≈ 1,322,842.7
c ≈ √1322842.7 ≈ 1150.149
The angle difference from 45°N can be found using the Law of Sines.
sin(B)/b = sin(C)/c
B = arcsin(b/c·sin(C)) = arcsin(200/1140.149·sin(135°)) ≈ 7.063°
This means Caroline's bearing from home is 45° +7.063° ≈ 52° north of west.
Caroline's final position is 1150 W 52° N in relation to her home.
2.5(10x +8) + 3x distributive property
Answer:
23/25
Step-by-step explanation:
(25x+20)/25x+3x/25x
20+3/25=23/25
28x+20
Step-by-step explanation:
[tex]2.5(10x + 8) + 3x \\ 25x + 20 + 3x \\ 28x + 20[/tex]
write the following ratios as fractions. 48 shoes 72 boots 64 hours and 2 days 147 rulers to 490 bags
how do i
factor 7x^2+3x-4
Answer:
(x+1) (7x - 4)
Step-by-step explanation:
7x² + 3x - 4
Use the diamond...
7 times -4 equals -28 and 7 plus -4 = 3
Use factor by grouping b/c a does not equal 1
7x² + 7x - 4x - 4
7x(x + 1) -4(x + 1)
(x+1) (7x - 4)
12. A shoebox has a volume of 456 cm3 and a mass of 114 g. What is its
density?
Answer:
114.0g/538.5cm^3=0.2117 glcm^3
Step-by-step explanation:
How many solutions does 3(x + 5) - 3 = 2(3x + 1) - 3x have? Show your work.
2noop
no
ordon
dos
SOLUTION I don’t want the answer I just wanna know how to solve it cause I’m bad at math
Answer:
No solution
Step-by-step explanation:
1.Simplify
3(x+5)-3 = 2(3x+1) -3x
3x+15-3=6x+2-3x
2.Simplify
3x+12=3x+2
3. Combine like terms
3x-3x+12-2=3x-3x+-2
10 does not equal 0
No solution
Answer:
[tex]\boxed{\boxed{\sf No\:Solution}}[/tex]
Step-by-step explanation:
[tex]\sf 3\left(x+5\right)-3=2\left(3x+1\right)-3x[/tex]
Expand: Apply distributive property:
[tex]\sf 3(x+5)-3[/tex]
[tex]\sf 3x+15-3[/tex] [tex]\sf 3x+12[/tex][tex]\sf 2(3x+1)[/tex]
[tex]\sf 3x+2[/tex][tex]\sf 3x+12=3x+2[/tex]
Subtract 12 from both sides:
[tex]\sf 3x+12-12=3x+2-12[/tex]
[tex]\sf 3x=3x-10[/tex]
Subtract 3x from both sides:
[tex]\sf 3x-3x=3x-10-3x[/tex]
[tex]\sf 0=-10[/tex]
Sides are not equal, so therefore there is no Solution.
___________________________________________
Calculate the height of a tree whose shadow is 20m shorter when the angle of elevation of the sun is 60° than when it's 30°.
Answer:
17.3 m
Step-by-step explanation:
If t is the height of the tree, then the length of the shadow is ...
shadow length = t/tan(α)
where α is the angle of elevation. The difference in shadow lengths is ...
20 m = t/tan(30°) -t/tan(60°) = t(√3 -1/√3)
t = (20 m)/(2/√3) = 10√3 m ≈ 17.3 m
The tree is about 17.3 meters high.
please help me i have until midnight. im really stressed
Answer:
15/2= 7 1/2 =7.5
Step by step
Step 1 of 2: Add.
Add
5 and 2 over 165
2
16
+ 2 and 3 over 82
3
8
= 120 over 16
120
16
Step 1 of 2: Add, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
5 and 2 over 165
2
16
= ( 5 × 16 ) over 16
5 × 16
16
+ 2 over 16
2
16
= ( 80 + 2 ) over 16
80 + 2
16
= 82 over 16
82
16
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 3 over 82
3
8
= ( 2 × 8 ) over 8
2 × 8
8
+ 3 over 8
3
8
= ( 16 + 3 ) over 8
16 + 3
8
= 19 over 8
19
8
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
82 over 16
82
16
+ 19 over 8
19
8
= ( 82 × 1 ) over ( 16 × 1 )
82 × 1
16 × 1
+ ( 19 × 2 ) over ( 8 × 2 )
19 × 2
8 × 2
= 82 over 16
82
16
+ 38 over 16
38
16
16 is the least common multiple of denominators 16 and 8. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
82 over 16
82
16
+ 38 over 16
38
16
= ( 82 + 38 ) over 16
82 + 38
16
= 120 over 16
120
16
Step 1 of 2: Add.Hide
Step 2 of 2: Simplify.
Simplify
120 over 16
120
16
= 15 over 2
15
2
= 7 and 1 over 27
1
2
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
120 over 16
120
16
= ( 120 ÷ 8 ) over ( 16 ÷ 8 )
120 ÷ 8
16 ÷ 8
= 15 over 2
15
2
8 is the greatest common divisor of 120 and 16. Reduce by dividing both numerator and denominator by 8.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
15 over 2
15
2
= 7 and 1 over 27
1
2
15 ÷ 2 = 7 remainder 1
2.1/x+1 4/5=3/10x
what is the Answer?........................................................
Answer:
x=10.03115897…,−0.69782564…x=10.03115897…,-0.69782564…
Step-by-step explanation:
On the grid below, which point is located in the quadrant where the x-coordinate is a positive number and the y-coordinate is a negative number?
A coordinate plane is shown. Point A is in quadrant 1, point B is in quadrant 2, point C is in quadrant 3, and point D is in quadrant 4.
A
B
C
D
hurry!!
Answer:
The answer is A.......
Step-by-step explanation:
Which ordered pair represents the reflection of the point (−2,3) over the y-axis?
Answer:
there is no y axis because the term is kept in second of y and if that is negative then only y axis will there otherwise there will no y axis
The ordered pair represents the reflection of the point (−2,3) over the y-axis is (2, 3)
What is reflection of the points over the axis?A reflection of a point in the axes involved reflecting the image over the axes to create a mirror image.
Given that, a point is (-2,3) is being reflected over y-axis,
Rule of reflection over y-axis is, A(x, y) ↔ A'(-x, y)
Therefore, applying the rule to (-2,3):
(-2,3) ↔ (2, 3)
Hence, the reflected point is (2, 3)
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Tn=n²−n+4
whtatagtaatta
Answer:
T=n-1+4/n
n=(n^2-n+4)/T
Step-by-step explanation:
T=n-1+4/n
n=(n^2-n+4)/T
Sabrina wants to go from her house to a park. The park is 6.8 miles away from her house. To get there, she heads east for 1.6 miles. Then she turns
and travels north until she reaches the park.
The answer is C, 6.6 miles.
Answer:
B
Step-by-step explanation:
I've done these type of questions before, pretty easy you can even figure it out without paper, just pure logic.