Answer:
Any negative number and 0 works for the expression.
Step-by-step explanation:
Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.
Let's try a random positive number in the expression
[tex]|6| = -(6)\\6 \neq -6[/tex]
So this positive number doesn't work, let's just test with another one.
[tex]|9| = -(9)\\9 \neq -9[/tex]
So we know that positive numbers won't work with this expression.
Let's test 0 quickly, just to make sure.
[tex]|0| = -0\\0 = 0[/tex]
So 0 works.
Let's try a few negative numbers now.
[tex]|-5| = -(-5)\\5 = 5[/tex]
So yes, this does work. Let's try one more negative number.
[tex]|-120| = -(-120)\\120 = 120[/tex]
This works. So, every negative number and 0 work with this equation.
Hope this helped!
Answer:
|a|=−a is true only if a is negative or zero
Step-by-step explanation:
Recall that absolute values are always 0 or positive.
|a|=−a is true only if a is negative or zero.
Suppose you have a triangle, and you want to construct a similar triangle. Which two
transformations will result in a triangle that is similar, but is not congruent?
Rotation and Reflection
Reflection and Translation
Reflection and Dilation
Translation and Rotation
Explanation:
The transformations of translation, reflection and rotation are considered rigid motions. They keep the figure the same size just it has been shifted around in some way. In contrast, a dilation will alter the size to make it larger or smaller depending on what the scale factor is.
Only choice C has "dilation" as part of the answer, so it must be the answer. The other choices are purely rigid motions that will keep the triangle the same size and shape. In other words, the preimage and image are congruent for choices A,B, and D.
Find an equation of the line: through the point (2, −4) with a y-intercept of −2. PLEASE HELP ONLY 20 MINS LEFT
Answer:
y = 3x -2
Step-by-step explanation:
y intercept means the point x = 0
need not be confused in that
we can get the two coordinates as
( 2, -4) and ( 0, -2)
gradient is difference of y/ difference of x
-2+-4/0-2
-6/-2 indeed its 3
so as y intercept is -2
c = -2
y = 3x - 2
i don’t know how to show that the probability is 3/4 or how to work it out helppp
Step-by-step explanation:
There are 12 beads. 2 are blue, 1 is green, 3 are purple, and the rest (6) are red.
So there are 9 beads that are purple or red.
The probability is therefore 9/12, which reduces to 3/4.
Answer:
Show all colored beads on the bottom draw a line in the middle and in the top show all red and purple colored beads.
Step-by-step explanation:
Well first we need to work out the number of beads total.
2 blue + 1 green + 3 purple + 6 red = 12
9 purple or red,
9/12
Simplified,
3/4
Show all colored beads on the bottom draw a line in the middle and in the top show all red and purple colored beads.
What is the volume of the following rectangular prism?
Answer:
Step-by-step explanation:
The formula is V= w h l
So it’s be V= 16 1/4 x 1/2
V= 16.25 x .50
V= 8.125
V=8
Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value g(4) plz help quickly
Answer:
g(4) = -7
Step-by-step explanation:
g(x) = −2x + 1.
Let x=4
g(4) = -2*4 +1
= -8+1
= -7
Answer:
[tex]\boxed{g(4) = -7}[/tex]
Step-by-step explanation:
[tex]g(x) = -2x+1[/tex]
Put x = 4
[tex]g(4) = -2(4)+1\\g(4) = -8+1\\g(4) = -7[/tex]
Which of the following shows one way to simplify *picture attached*
Answer:
C
Step-by-step explanation:
Took the test
The one way to simplify the algebraic summation expression is; [[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]
How to solve Algebra Summation?
We want to simplify the algebraic summation;
[∑⁴³_(n = 1)] (3 + 9n)
Now, due to the addition sign, we can simplify this as;
[[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]
The only option that corresponds to our answer is Option A and so is correct.
Read more about Algebra Summation at; https://brainly.com/question/542712
#SPJ2
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6), B(5, -6), C(5, -2) and D(2, -2). What is the perimeter of rectangle ABCD?
Answer:
14 units.
Step-by-step explanation:
Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.
P = 2(l + w)
P = 2(3 + 4)
P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)
P = 14 units and 14 units.
You could also do addition.
P = 3 + 3 + 4 + 4
P = 6 + 8
P = 14 units
Hope this helped!
What is -6/7 x (-3/8)
Answer:
9/28
Step-by-step explanation:
−6/7×−3/8and solve
−6 ×−3 OVER 7×8
=18/56
18÷2 OVER 56÷2=9/28 Therefore:
−6/7×−3/8=9/28
Answer:
[tex] \frac{9}{28} [/tex]Step-by-step explanation:
[tex] - \frac{6}{7 } \times \frac{ - 3}{8} [/tex]
Multiplying two negative equals a positive
[tex]( - ) \times ( - ) = ( + )[/tex]
[tex] \frac{6}{7} \times \frac{3}{8} [/tex]
Reduce the numbers with G.C.F 2
[tex] \frac{3}{7} \times \frac{3}{4} [/tex]
Multiply the fractions
[tex] \frac{3 \times 3}{7 \times 4} [/tex]
[tex] \frac{9}{28} [/tex]
hope this helps...
Good luck on your assignment...
An eraser is in the shape of a triangular prism. Its dimensions are shown in the diagram. What is surface area of the
eraser?
50 mm
40 mm
40 mm
30 mm
3,600 square millimeters
4.800 square millimeters
5,400 square millimeters
6,000 square millimeters
Answer:
6000 square millimeters
Step-by-step explanation:
Side length of the slanting side can be calculated using the Pythagorean theorem,
L = sqrt(30^2+40^2) = 50
sufrace area of a triangular prism
= surface area of the end sections + the surface area of the three side faces
= 2*(30*40/2) + 40*(30+40+50)
= 1200 + 4800
= 6000 mm^2
Answer:
D) 6,000 square mm
Step-by-step explanation:
To find the surface area of the triangular prism, find the are of each face.
40 × 30 ÷ 2 = 600 × 2 sides = 120040 × 50 = 200040 × 30 = 120040 × 40 = 1600After adding all the sides' together, you get 6,000 square mm.
f(X) x-2/5 g(X) x-5 find f inverse g inverse= 7 and solve it
Answer: 62/5
Step-by-step explanation:
You are given the following functions:
F(X) = x-2/5
g(X) = x-5
First find the inverse of the two functions.
To find inverse, first make f(x) and g(x) equal to y, interchange x and y and make y the subject of formula
F(x) = x - 2/5
Y = x - 2/5
Interchange y and x
X = y - 2/5
Make y the subject of formula
Y = x + 2/5
Therefore, f^-1(x) = x + 2/5 ..... (1)
Also,
g(x) = x - 5
Y = x - 5
X = y - 5
Make y the subject of formula
Y = x + 5
g^-1(x) = x + 5
To find g inverse of 7, substitute 7 for x in the above formula
g^-1(7) = 7 + 5 = 12
f inverse g inverse = 7 will be achieved by substitute 12 for x in the equation (1)
F^-1(12) = 12 + 2/5 = 62/5
Lauren bought 6 yellow roses, 10 orange roses, and 12 pink roses to make a bouquet. What is the ratio of the number of yellow roses to the total number of roses in Lauren’s bouquet? A. 6 : 10 B. 6 : 12 C. 6 : 2 D. 6 : 28
Answer:
facil es la D
Step-by-step explanation:
10+6+12 igual a 28
y nada mas ahi que decir el numero de rosas amarillas que es este caso son
6
Respuesta 6:28
Answer:
D. 6:28
Step-by-step explanation:
The total number of flower in bouquet is
=6+10+12
=28
The ratio of number of yellow roses to the total number of roses is 6:28
Algebra help needed
Answer:
The ball will reach the ground when h=0.
Set the equation equal to 0.
[tex]0=-8(2 t-4)(t+1)[/tex]
[tex]t=-1,2[/tex]
Step-by-step explanation:
The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation
[tex]h=-8(2 t-4)(t+1)[/tex],
where h is the height in feet and t is time in seconds.
When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.
To find the time it takes for the ball to reach the ground, set the equation equal to 0 and use the Zero Product Property to solve for $t$.
[tex]h=-8(2 t-4)(t+1)[/tex]
[tex]\Rightarrow 0=-8(2 t-4)(t+1)[/tex]
Solve the equation using the Zero Product Property.
[tex]2t-4=0\Rightarrow t=\dfrac{4}{2}=2[/tex]
[tex]t+1=0\Rightarrow t=-1[/tex]
So, [tex]t=-1,2[/tex]
Plz help its about volume of a rectangular prism
Answer:
V = 7*4*1
V = 1*4*7
V = 4*7*1
Step-by-step explanation:
The volume is found by
V = l*w*h
V = 7*4*1
We can multiply in any order
Answer:
Choices 2, 5, 6
Step-by-step explanation:
Rectangular Prism Volume: whl (width ✖️height✖️length).
4✖️7✖️1
Anything that is same with that is the answer, therefore, choices 2, 5, and 6 are correct.
I hope this helps you!
PLEASE HELP!!! WILL MARK BRAINIEST IF CORRECT!
1. Create a data set with at least 15 values, including one value that is an outlier.
2. Give the data set.
3. Find the mean of the data.
4. If you remove the outlier, will the mean decrease, increase, or remain the same? Explain why.
5. Find the mean without the outlier to show that your response is correct.
Answer:
1 and 2. { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 , 100 }
3. Mean ➡ 13.67 ( About )
4. The mean will decrease. The mean is the average difference between the values in a data set, and this outlier is much greater than the rest of the values. Therefore, in the absence of the outlier the mean will decrease.
5. Mean ➡ 7.5
Step-by-step explanation:
I do want to point out that there is no " correct " answer in this case, but if you are referring to accuracy in terms of the calculations ( mean ) in this set, then I can understand.
1 and 2. An outlier is a value that does not belong to the set of values, considering their is pattern among the numbers. In other words it can be a number of high value, or a number of low value with respect to the data set. This throws the pattern of the set off balance, and does result in drastic changes in the mean.
Let's say that this is the following set - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 }. A very basic set, but as you can see contains only 14 elements. This last element here will be the outlier, 100 - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 100 }.
3 and 4 and 5. Assuming that this outlier was not present, I can tell that the set would have a mean less than when it was present. The mean is the average difference in the data set, and this outlier is greater than the other elements - greatly increasing the mean. The mean of the data set with the outlier is 13.67, and the mean of the data set without the outlier would be 7.5.
3x2 +x=10 what’s the answer?
Answer:
Step-by-step explanation:
3 × 2 + x = 10
6 + x = 10
x = 10 -6
x = 4
Step-by-step explanation:
so 3 x 2 is 6
6 add x is 6x
6x = 10
divide by 6 or 10 on both sides to get ur answer
hope this helps
i would appreciate it if u could heart my answer and give it 5 stars or maybe even give it brainliest pls i beg u thx !!!!! : )
Simplify 27^2. _______ a0 Simplify 13^2. _______ a0
Answer:
Step-by-step explanation:
27^2 = 729
13^2 =169
Answer:
1) [tex]\boxed{729}[/tex]
2) [tex]\boxed{169}[/tex]
Step-by-step explanation:
1) 27²
This means 27 is being multiplied 2 times.
So,
=> 27*27
=> 729
2) 13²
This means 13 is being multiplied 2 times
So,
13*13
=> 169
Monica measures the number of bacteria that are living on her petri dish. Each day, she measures the amount of change in the number of bacteria. These amounts create a geometric sequence. Use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day. Day Amount of Change in Bacteria 1 2 2 −8 3 32 4 −128 −6553.2 −10.8 6554 11.6
Answer:
6554
Step-by-step explanation:
The sequence 2, -8, 32, -128 has a first term (a1) of 2 and a common ratio (r) of -8/2 = -4. The sum of n terms is given by ...
Sn = a1·(r^n -1)/(r -1)
For your sequence, the sum of 7 terms is ...
S7 = 2·((-4)^7 -1)/(-4-1) = 2(-16384/-5) = 6554
The sum of changes after the 7th day is 6554.
Answer:
C
Step-by-step explanation:
took test
Find the median of the data in the dot plot below.
A school trip requires students to score at least a total of 335 points on four tests. Each test is worth 100 points. If a student's scores on the first three tests
were 77, 95, and 82, what score would the student need on the last test to have no less than 335 points ?
O A. 79
OB. 75
O C. 93
O D. 81
Answer:
D. 81
Step-by-step explanation:
You need to first add 77, 95 and 82 to get 254, Then you do 335 - 254 which is 81.
Answer:
D. 81
Step-by-step explanation:
To get the answer all you need to do is add all of the scores of the first three tests and then subtract that from 335.
The value of 2^3 + 4^2 = ___.
━━━━━━━☆☆━━━━━━━
▹ Answer
24
▹ Step-by-Step Explanation
2³ + 4²
= 2 * 2 * 2 → 8
= 4 * 4 → 16
8 + 16 = 24
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
24
Step-by-step explanation:
2³ + 4²
Solve for exponents first.
2³ = 2 × 2 × 2 = 8
4² = 4 × 4 = 16
8 + 16
Addition.
= 24
What is the measure of the angle between the minute and the hour hands, when they show 4:20 PM?
Answer:
Won't they be on the same place, so 360° i think
Answer:
10 degrees
Step-by-step explanation:
f(x) = 28 + 10x²; solve for f(1) and f(27)
Answer:
f(x) = 28 + 10x²
For f(1) substitute 1 into f(x)
That's
f(1) = 28 + 10(1)²
= 28 + 10
= 38f(27) = 28 + 10(27)²
= 28 + 7290
= 7318Hope this helps you
Please help me with this geometry question:((
Answer:
7.06
Step-by-step explanation:
Write a proportion using similar triangles.
DF / DG = DE / GE
x / 8 = 15 / 17
x = 7.06
Select the correct answer from each drop down menu?
Answer: Area of Fountain = 147/147.58
Area of Circular path = 28.26
Step-by-step explanation:
formula for area of circle = pi x r^2
radius of fountain - [tex]\\ \sqrt{47} \\[/tex]
area= 22/7 x 47 (as [tex]\sqrt{47}[/tex] is squared)
=147
radius of circular path - [tex]\sqrt{56}[/tex]
area= 22/7 x 9 ( [tex]\sqrt{56}[/tex] is radius and [tex]\sqrt{47}[/tex] is of the fountain subtract them you'll get 9 )
=28.26
Your class is measuring the heights of plants in different locations in the classroom.
The table gives the heights of each plant over 3 weeks. Use the drop-down menus to
complete each statement below about this data,
Answer:
First part) measuring each plant at the same time each week
Second part) centimeters and the same
Step-by-step explanation:
Answer:
These heights could have been measured by measuring each plant at the same time each week.
The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.
A bowling ball is pushed with a force of 22.0 N and accelerates at 5.5 m/s2. What is the mass of the bowling ball? Ik the answer is 4.0, but I got it wrong for 4.00. I based the significant numbers off the 22.0 but apparently it's the 5.5. I always get it wrong when the question involves two numbers with different amounts of significant numbers (sometimes I use the smaller one but it wanted the bigger). How do I know when to use more or less significant numbers?
Step-by-step explanation:
You should always use the least number of significant figures. The exception is exact numbers or constants.
For example, there are 60 minutes in an hour. Even though this number has one significant figure, it is an exact number. So 15 minutes converted to hours would be 0.25 hr.
A rancher has 5,000 feet of fencing available to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal areas. If no fencing is required along the river, find the length of the center partition that will yield the maximum area.
Answer:
1,000 feet
Step-by-step explanation:
The closer to a square a rectangle is, the greater the area. So the 5,000 feet should be divided into 5 equal sections to create 2 squares with the river making one side. (Like the letter "E").
5,000/5=1,000
A square playground has an area of 263 ft2. What is the approximate length of each side of the playground? Round your answer to the nearest foot. 17 ft 18 ft 131.5 ft 16 ft
Answer:
Approximately 16 feet
Step-by-step explanation:
If the playground has a square shape, then its area equals the square of the playground's side (S):
[tex]S^2=263 \,\,ft^2\\S = \sqrt{263} \,\,ft\\S\approx 16.217 \,\,ft \\S\approx 16\,\,ft[/tex]
Answer:
16 feet
Step-by-step explanation:
The area of a square can be found using the following formula.
[tex]A=s^2[/tex]
We know that the area of the playground is 263 ft^2. Therefore,
A=263 ft^2
[tex]263 ft^2= s^2[/tex]
We want to find out what s, the side length, is. s is being squared. The inverse of a square is a square root. Therefore, we must take the square root of both sides.
[tex]\sqrt{263 ft^2} =\sqrt{s^2}[/tex]
[tex]\sqrt{263ft^2}=s[/tex]
[tex]16.2172747 ft=s[/tex]
Round to the nearest foot. The 2 in the tenth place tells us to leave 16 as is.
[tex]16 ft=s[/tex]
The approximate length of each side of the playground is 16 feet.
Which system of equations has only one solution? 4 x + 2 y = 8. Negative 4 x minus 2 y = 3. Negative 5 x + y = 6. 5 x minus y = negative 6. Negative 3 x + 4 y = 2. 3 x minus 4 y = 0. 2 x + 4 y = 6. 3 x minus 4 y = 9.
Answer:
Following system of equations have exactly one solution:
[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]
Step-by-step explanation:
Given 4 system of equations:
1st
[tex]4 x + 2 y = 8\\ -4 x -2 y = 3[/tex]
2nd
[tex]-5 x + y = 6\\ 5 x - y = - 6[/tex]
3rd
[tex]- 3 x + 4 y = 2\\ 3 x - 4 y = 0[/tex]
4th
[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]
To find: Which system of equations has only one solution?
Solution:
First of all, let us learn the concept.
Let the equation of lines be:
[tex]a_1x+b_1y+ c_1=0[/tex] and [tex]a_2x+b_2y+ c_2=0[/tex]
1. No solution:
There exists no solution if:
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]
2. Infinite solutions:
There exist infinitely many solutions if:
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]
3. One solution:
There exists one solution if:
[tex]\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}[/tex]
Now, let us consider the given equations one by one.
1st system of equations:
The ratio is:
[tex]\dfrac{4}{-4} , \dfrac{2}{-2} , \dfrac{8}{3}\\-1 =-1\neq \dfrac{8}{3}[/tex]
So, no solution.
2nd system of equations:
The ratio:
[tex]\dfrac{-5}{5} , \dfrac{-1}{1} , \dfrac{6}{-6}\\-1 =-1=-1[/tex]
So, infinitely many solutions.
3rd system of equations:
[tex]\dfrac{3}{-3} , \dfrac{-4}{4} , \dfrac{0}{2}\\-1 =-1\ne0[/tex]
So, no solution.
4th system of equations:
[tex]\dfrac{2}{3} , \dfrac{4}{-4} , \dfrac{6}{9}\\\dfrac{2}{3} \ne-1[/tex]
Hence, only one solution.
So, the answer is:
Following system of equations have only one solution:
[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]
Answer:
4
Step-by-step explanation:
AssAssessment captures blank growth