How do the number line graphs of the solutions sets of Negative 23 greater-than x and x greater-than-or-equal-to negative 23 differ?
Answers
Answer:
For "Negative 23 greater-than x" , highlight the left half of the number line starting at -23 and use a parenthesis ) on -23.
For "x greater-than-or-equal-to negative 23", highlight the right half of the number line starting at -23, and use a square bracket [ on -23.
Step-by-step explanation:
Start by locating the number -23 on the number line. Please see attached image to accompany the explanation.
In the first case: "Negative 23 greater-than x" , which is expressed mathematically as:
[tex]-23 >x[/tex]
notice that "x" has to be strictly smaller than the number -23, therefore those sought x values must reside to the left of the number -23, so we have to highlight that half of the number line. Apart from that, we need to include a symbol on top of the number -23, that indicates that -23 itself shouldn't be considered as part of the set, that symbol is by convention a parenthesis ).
In the second case: "x greater-than-or-equal-to negative 23", which is expressed mathematically as:
[tex]x\geq -23[/tex]
notice that "x" has to be greater than or equal to the number -23, therefore those sought x values must reside to the right of the number -23, so we have to highlight that half of the number line. Apart from that, we need to include a symbol on top of the number -23, that indicates that -23 itself should be considered as part of the set, that symbol is by convention a square bracket [.
Answer:
the answer is A
Step-by-step explanation:
Related Questions
♡Easy Brainliest♡ Which statement BEST explains why the sine of an acute angle is equal to the cosine of the angle's complement? A Both sinA and cosB are equal to ab. B Both sinA and cosB are equal to ac. C For sinA to equal cosB, a and c must be equal. D For sinA to equal cosB, a and b must be equal.
Answers
Answer:
Answer is A
Step-by-step explanation:
Hope it helps
PLEASE PLEASE PLEASE PLEASE HELPME I *REALLY* NEED HELP!!!
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Which of the following pairs of triangles can be proven similar through SSS similarity? PHOTO ATTACHED :))
Answers
Answer:
A
Step-by-step explanation:
since there are 3 corresponding sides shown, the SSS similarity theorem can be utilized.
There are 10 students on the basketball team. The coach selects 3 of them to go to the basketball clinic. In how many ways can she choose 3 of the 10 students?
Answers
[tex]_{10}C_3=\dfrac{10!}{3!7!}=\dfrac{8\cdot9\cdot10}{2\cdot 3}=120[/tex]
Question :-
There are 10 students on the basketball team. The coach selects 3 of them to go to the basketball clinic. In how many ways can she choose 3 of the 10 students?Answer :-
The coach can choose 3 of the 10 students in 120 ways.[tex] \rule{200pt}{3pt}[/tex]
Combinations refers to the number of ways of selecting from a set when the order is not important. The number of combinations of n objects taken r at a time is given by [tex]\sf C(n, r) = \dfrac{n!}{(n - r)!r!}, n \geqslant r[/tex].
Solution :-
As per the provided information in the given question, we have been given that the number of combinations of 10 students taken 3 at a time. We have been asked to calculate the ways that she can choose 3 of the 10 students.
To calculate the ways that she can choose 3 of the 10 students, we will apply the formula below :-
[tex] \qquad \bigstar \: \: \: \boxed{ \sf{ \: \: C(n, r) = \dfrac{n!}{(n - r)!r!} \: \: }}[/tex]
Substitute the given values into the above formula and solve for C:
[tex]\sf:\implies{ C(n, r) = \dfrac{n!}{(n - r)!r!}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{10!}{(10 - 3)!3!}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{10!}{7!3!}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{10 \cdot 9 \cdot 8 \cdot \cancel{7!}}{ \cancel{7!}3!}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{10 \cdot 9 \cdot 8}{3 \cdot 2}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{720}{6}}[/tex]
[tex]\sf:\implies \bold{ C(10, 3) = 120 \: ways}[/tex]
Therefore :-
The coach can choose 3 of the 10 students in 120 ways.[tex]\\[/tex]
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Have a great day! <33
ANSWER QUESTIONS QUICKLY PLZZZZZZ
Answers
Answer:
See below.
Step-by-step explanation:
Since the two triangles are similar, this means that their corresponding sides are proportional. In other words:
[tex]\frac{PQ}{XY}=\frac{QR}{YZ}=\frac{RP}{ZX}[/tex]
Part A:
We already know PQ, RP, XY, and YZ.
To find XZ, we can use the first and third proportions:
[tex]\frac{PQ}{XY} =\frac{RP}{ZX} \\=\frac{7.2}{18}=\frac{6.5}{ZX}[/tex]
Cross multiply:
[tex]117=7.2(ZX)\\ZX \text{ or } XZ = 16.25[/tex]
Part B:
The same thing as Part A, but with the first and second proportions:
[tex]\frac{PQ}{XY}=\frac{QR}{YZ}\\\frac{7.2}{18}=\frac{QR}{7}\\50.4=18(QR)\\QR=2.8[/tex]
HELP ME ASAP !!!!! ITS DUE TODAY
Answers
Answer a:
Figure 4 = 5 blocks up, 5 blocks right
Figure 5 = 6 blocks up, 5 blocks right
Answer b: Grows 2 blocks each time, 1 blocks at the top and 1 blocks on the right.
Answer c: Since you add 2 blocks each time, you do the opposite so you subtract 2 blocks. The answer will be 1 block.
Step-by-step explanation:
What is the area?
6 mm
5 mm
3 mm
13 mm
8 mm
9 mm
Answers
Answer:
none of above .
Step-by-step explanation:
because the unit of area is always in square forms.
Determine the most precise name for KIET (parallelogram,rhombus,rectangle or square.) you must use slope or length. K(0,0) I(2,2) T(5,-5) E(7,-3)
Answers
Answer: rectangle.
Step-by-step explanation:
Given points: K(0,0) I(2,2) T(5,-5) E(7,-3)
Distance formula to find distance between [tex]A(a,b)[/tex] and [tex]B(c,d)[/tex]: [tex]AB=\sqrt{(d-b)^2+((c-a)^2}[/tex]
[tex]KI=\sqrt{(2-0)^2+(2-0)^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\ units[/tex]
[tex]KT=\sqrt{(5-0)^2+(-5-0)^2}=\sqrt{25+25}=\sqrt{50}=5\sqrt{2}\ units[/tex]
[tex]TE=\sqrt{(7-5)^2+(-3+5)^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\ units[/tex]
[tex]IE=\sqrt{(7-2)^2+(-3-2)^2}=\sqrt{25+25}=\sqrt{50}=5\sqrt{2}\ units[/tex]
i.e. KI = TE and KT= IE, so opposite sides equal.
It can be a parallelogram or rectangle. [if all sides are equal it would be square or rhombus]
[tex]IT=\sqrt{(5-2)^2+(-5-2)^2}=\sqrt{3^2+7^2}=\sqrt{9+49}=\sqrt{58}\ units[/tex]
[tex]KE=\sqrt{(7-0)^2+(-3-0)^2}=\sqrt{7^2+3^2}=\sqrt{9+49}=\sqrt{58}\ units[/tex]
IT= KE, i.e. diagonals are equal.
It means KIET is a rectangle.
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4.5 ft long with a diameter of 1.4 ft. Suppose oil is drained at a rate of
1.7 ft per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Answers
Hey there! I'm happy to help!
First, let's find the volume of the cylindrical tank.
To find the volume of a cylinder, take the area of the circle base and multiply it by the height of the cylinder.
To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14).
The diameter is always twice the radius, so we divide by two to find the radius.
1.4/2=0.7
We square this.
0.7²=0.49
And we multiply by 3.14.
0.49×3.14=1.5386
Now that we have the area of the circle, we multiply by the height (length in our case since the cylinder is sideways).
1.5386×4.5=6.9237
Now, we see that we will be losing 1.7 feet every minute. To see how many times 1.7 feet goes into our cylinder, we just divide!
6.9237÷1.7= 4.07276470588
So we see that it will take just over 4 minutes for the tank to empty.
Have a wonderful day and keep on learning! :D
What is the LCD for x/4 - 2/3 = 7/12?
Answers
Answer:
12
Step-by-step explanation:
All the denominators are factors of 12.
A ladder (line segment AC in the diagram) is leaning against a wall. The distance between the foot of the ladder and the wall (BC) is 7 meters less than the distance between the top of the ladder and the ground (AB). A-Create an equation that models the length of the ladder (l) in terms of x, which is the length in meters of AB. B-If the length of the ladder is 13 meters, use the equation you wrote to find the distance between the ground and the top of the ladder (AB).
Answers
Greetings from Brasil...
a)
Let's just use Pythagoras
L² = X² + (X - 7)²
L = √(2X² - 14X + 49)b)
If L = 13, then what is the value of X ???
L² = 2X² - 14X + 49
2X² - 14X - 120 = 0
X = 12 or X = - 5
(The distance cannot be negative, so X = 12)
the square of 5 is divided by the cube root of 27. what is the remainder
Answers
Step-by-step explanation:
square of 5 is 25 and it divided by the cube root of 27 means 3
Now ,
#25÷3
= 8 [1] (•°• 3×8 = 24)
Here,
we got 1 as a reminder .
Hope it is helpful to you
✌️✌️✌️✌️✌️✌️✌️
The remainder will be 1.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The square of 5 is divided by the cube root of 27.
Now,
Since, The square of 5 is divided by the cube root of 27.
Hence, We get;
⇒ 5² / ∛27
⇒ 25 / 3
After divide we get;
3 ) 25 ( 8
24
--------
1
Thus, The value of remainder = 1
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find the roots of the following equation X + 1 whole square minus x square equal to 2
Answers
Answer:
x = 1/2
Step-by-step explanation:
Let's represent this in a mathematical way,
(x+1)^2 - x^2 = 2
Ok now we expand,
x^2 + 2x + 1 -x^2 = 2
rearrange,
x^2 - x^2 + 2x + 1 = 2
subtract,
2x + 1 = 2
subtract 1 from both sides,
2x + 1 - 1 = 2 - 1
2x = 1
Now divide 2 from both sides and get your answer,
x = 1/2
Answer:
[tex](x + 1) { }^{2} - x {}^{2} = 2[/tex]
[tex]x {}^{2} + 2x + 1 - x {}^{2} = 2[/tex]
[tex]2x + 1 = 2[/tex]
[tex]x = 1 \div 2[/tex]
If n(A) = P and n(B)=q then n(AxB) is (a ) p (b ) q ( c ) p+q ( d ) pq
Answers
By way of example, suppose A = {1, 2, 3} and B = {a, b, c}. Then the Cartesian product of A and B is
A × B = {{1, a}, {1, b}, {1, c}, {2, a}, {2, b}, {2, c}, {3, a}, {3, b}, {3, c}}
That is, each element in A gets a pairing with each element in B, and for each pairing you have n(A) choices for the first element and n(B) choices for the second element.
So if n(A) = p and n(B) = q, then n(A × B) = pq.
Does this graph show a function? Explain how you know.
A. No; the graph fails the vertical line test.
• B. No; there are y-values that have more than one x-value.
• C. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.
Answers
Answer:
C. Yes; the graph passes the vertical line test.
Step-by-step explanation:
Reasons the others are wrong:
A. It does pass the vertical line test.
B. Y-values can have any x values. It is x-values that can't have multiple y-values.
D. There are y-values with more than one x-value on this graph so that's just false. Even if it were true, that still doesn't invalidate it due to the reasons given in Answer B.
interpret the parts of the expression 9x + 4y – 5. Rewrite the expression as a sum: _______________
Answers
Answer:
9x + 4y +(-5)
Step-by-step explanation:
Given
9x + 4y - 5
Required
Interpret
Write as a sum
The parts of an expression can be interpreted in the following ways; Terms, Variables, Constant, Coefficient, etc.
The terms are the expression being added together and they are 9x, 4y and -5
The variables are the represented with alphabets they change in values; the two variables in the given question are x and y
Constant are numbers standing alone; This is 5
Coefficient are numbers in front of variables; In this case, the coefficient are 9 and 4
Writing 9x + 4y - 5 as a sum
The -5 can be written as +(-5); So, we have
9x + 4y +(-5)
132 divide t 12 x 12 - 124 divide 31
Answers
Answer:
31
Step-by-step explanation:
Shea made 11 of her first 17 free-throw attempts. What is the minimum number of her next 20 free-throw attempts that she must make for her overall success rate to be at least $80\%$? Express your answer to the nearest whole number.
Answers
Answer:
19 throws.
Step-by-step explanation:
For her success rate to be 80% in 37 throws she must make 0.8 * 37
= 29.6 throw - that is 30 to nearest throw.
So for the next 20 throws she must make 30 - 11 = 19 throws.
PLEASE HELP
Water flows through a pipe at a rate of 490 milliliters every 6.5 hours. Express this
rate of flow in fluid ounces per minute. Round your answer to the nearest hundredth.
Answers
Answer:
[tex]0.042~\dfrac{fl~oz}{min}[/tex]
Step-by-step explanation:
1 gal = 231 in.^3
1 gal = 128 fl oz
1 in. = 2.54 cm
1 ml = 1 cm^3
[tex]\dfrac{490~ml}{6.5~hour} \times \dfrac{1~cm^3}{1~ml} \times \dfrac{1~in.^3}{(2.54~cm)^3} \times \dfrac{1~gal}{231~in.^3} \times \dfrac{128~fl~oz}{1~gal} \times \dfrac{1~hour}{60~min} =[/tex]
[tex]= 0.042~\dfrac{fl~oz}{min}[/tex]
Answer:
On delta math its 0.04
Step-by-step explanation:
0 is the multiplicative identity of the set of rational numbers true or false
Answers
if [tex] x\times e=x[/tex] for all x, then e is the Multiplicative Identity.
is this enough for you to get the answer?
Answer:
FALSE.
Step-by-step explanation:
1 is the multiplicative identity of the set of rationals.
A certain forest covers an area of 2600 km^2. Suppose that each year this area decreases by 4.75%. What will the area be after 11 years? Use the calculator provided and round your answer to the nearest square kilometer.
Answers
Answer:
1522km^2
Step-by-step explanation:
To solve this, first convert the percentage to a decimal. That would be .0475.
Now subtract that from 1.0 to get the factor it decreases by. This would be 1-.0475 = .9525
Multiply 2600 x (.9525)^11 = 1522.258 which rounds to 1522 km^2
Answer:
The area will be 1292.98 km² after 11 years.
Step-by-step explanation:
To find what decreases by 4.57% each year in kilometers:
2600 × 4.57/100 = 26 × 4.57
= 118.82 km²
To find the area after 11 years:
118.82 × 11 = 1307.02
2600 - 1307.02 = 1292.98 km²
1292.98 km² is the answer.
the population of a small city grows by 600 every year. If there were 900 people initially, find the population of the city 60 years after the city was first established
Answers
Answer:
36900
Step-by-step explanation:
It's a linear function with equation P(t)=900+600*t. P(60)=900+600*60=36900
Answer:
36,900
Step-by-step explanation:
First do 600 times 60=36,000
Next add 900
36,000+900=36,900
theres your answer :)
The ray EG is the angle bisector of < DEF and m< DEF = 84 degrees
Find m< DEG
Answers
solve 3(x +15) ≤5(x+2) + 15
Answers
Answer:
x≥5
Step-by-step explanation:
3(x+15)≤5(x+2)+15
3x+45≤5x+10+15
3x+35≤5x+25
3x-5x≤25-35
-2x≤-10
x≥5
{x:xEx:6,7,8,9,10....}
Hope this helps ;) ❤❤❤
Write the ratio as a fraction in simplest form.
0.65 to 0.15
Answers
Answer:
13/3
Step-by-step explanation:
Write as a fraction first,
0.65/0.15
convert decimal to fractions,
13/20/3/20 = 13/3
Can someone plz help with this problem
Answers
Answer:
I think the answer is 2
Step-by-step explanation:
Between 30 and 60 is double b so just divide 4 by 2.
Find the slope and the y-intercept of the line.
- 8x+4y=-4
Write your answers in simplest form.
slope:
.
08
Undefined
X
$
?
y-intercept: 1
Answers
Answer:
slope - (2x)
y-intercept - (-1)
Step-by-step explanation:
-8x + 4y = - 4
4y = 8x - 4
y = 2x - 1
Which statement explains the type of function that is represented by the equation
y=x2 + 9?
Answers
Algebraic equation
2(x + 4) - 8 = 36-10
Answers
2x = 26
x = 13
Answer:
x=13
Step-by-step explanation:
Ariana is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Ariana will earn $40 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Ariana earned a total of $500 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Ariana's songs were played. Define the variables that you use to write the system.
Answers
c + m =9
c is variable for commercial; m is variable for movies
Bismah is building 5 raised garden beds in a community garden. Each raised garden bed will need 1 7 8 bags of soil. How many bags of soil will Bismah need for all 5 raised garden beds?
Answers
Answer:
890 if it’s 178 bags per garden bed
Step-by-step explanation:
since 1 raised garden bed is supposedly 178 bags, 5 would be 890 since it’s just 5x178. if it’s not 178 bags (which would make sense since 178 is a big number), just multiply 5 by that number and if it’s a decimal round up to the next whole number if it’s about how many bags Bismah needs to buy, since you can’t by 1/2 of a bag
Bismah will need a total of 890 bags of soil for all the 5 raised garden. beds.
What is Multiplication?.Multiplication is one of the basic operations in mathematics where a number is added repeatedly to itself up to the times as the value of the other number.
That is, if a number p is multiplied to another number q, p × q, implies that p is added repeatedly to itself q times or q is added repeatedly to itself up to p times.
Number of garden beds Bismah has raised = 5
Number of bags of soil needed for a garden bed = 178 bags
Number of bags of soil needed for 5 garden bed = 178 × 5 bags
= 890 bags
Hence Bismah would need 890 bags of soil for the 5 raised garden beds in the community garden.
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