The solution set of the inequality −5 < 2x + 3 < 9 is (-4,3)
How to solve the inequality?The compound inequality is given as:
−5 < 2x + 3 < 9
Expand the inequality
−5 < 2x + 3 or 2x + 3 < 9
Rewrite as:
2x + 3 > -5 or 2x + 3 < 9
Subtract 3 from both sides
2x > -8 or 2x < 6
Divide both sides by 2
x > -4 or x < 3
Rewrite as:
(-4,3)
Hence, the solution set of the inequality is (-4,3)
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
What is the maximum number of right angles in a triangle that lies on a sphere?
A.
three
B.
two
C.
zero
D.
one
Answer:
A. Three
explanation :
In Spherical Geometry, a triangle can have three right angles!
A={j,a,c,k,p,o,t} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}, find A′.
Answer:
Answer: {b,d,e,f,g,h,i,l,m,n,q,r,s,u,v,w,x,y,z}
Step-by-step explanation:
A' = U-A
={b,d,e,f,g,h,i,l,m,n,q,r,s,u,v,w,x,y,z}
The ratio opposite/hypoenuse describes which function
A. Cosine
B. Secant
C. Sine
D. Tangent
Which values of a and b make this system of equations have infinitely many solutions?
2y + 16 = 6x
y = ax + b
a = -3, b = 8
a = -3, b = -8
a = 3, b = -8
a = 3, b = 8
Which of the following is closest to the area of the figure below, consisting of a semicircle and rectangle
Which option is an even function?
The correct answer is option D. Which is the even function is f (x) = x⁴.
What is an even function?The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).
let us check the given four options:-
A f(x) = √x ; f(-x) = √-x here f(x) ≠ f(-x)
B f(x) = x ; f(-x) = -x here f(x) ≠ f(-x)
C f(x) = x³ + 1 ; f(-x) = -x³ + 1 here f(x) ≠ f(-x)
D f(x) = x⁴ ; f(-x) = (-x)⁴ = x⁴ here f(x) = f(-x)
We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).
Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.
To know more about even functions follow
https://brainly.com/question/2284364
#SPJ1
x^2+ 4x +29=0 solve the quadratic equation by completing the square.
Answer + Step-by-step explanation:
x² + 4x + 29 = 0
⇔ [x² + 4x] + 29 = 0
⇔ [x² + 4x + 4 - 4] + 29 = 0 (just add and subtract 4)
⇔ [x² + 4x + 4] - 4 + 29 = 0
⇔ (x + 2)² - 4 + 29 = 0 (Replace x² + 4x + 4 by (x + 2)²)
⇔ (x + 2)² + 25 = 0
⇔ (x + 2)² = -25 impossible because (x + 2)² > 0 and -25 < 0
Then there is no solution to the quadratic.
Question 1 of
Select the correct answer.
A rectangular sheet of steel is being cut so that the length is four times the width. The perimeter of the sheet must be less than
100 inches.
length (/)
width (w)
Which inequality can be used to find all possible lengths, I, of the steel sheet?
5/2L > 100
10L < 100
5/2L< 100
10L > 100
Answer:
5L/2 < 100
Step-by-step explanation:
Let's get started!
Let :
⇒ Length = L
⇒ Width = L/4
It mentions the perimeter must be less than 100 inches.
Perimeter Formula :
Perimeter (Rectangle) = 2(Length + Width)
Then, the inequality formed will be :
⇒ 2 (L + L/4) < 100
⇒ 2 (5L/4) < 100
⇒ 10L/4 < 100
⇒ 5L/2 < 100
Length be L
width be L/4
Now
Perimeter=2(Length+Breadth)
2(L+L/4)<1002(5L/4)<1005L/2<100Please help I will give the most points
Write a quadratic equation in standard form given the roots: -3 and 4/5
Answer:[tex]x^{2}+\frac{11x}{5}-\frac{12}{5}[/tex]
Step-by-step explanation:
The roots are really just what x is when the equation is equal to zero. So, an equation with these roots would look like this:
(x+3)(x-4/5)=y
however, this is not standard form. To get standard form we will need to expand the equation using FOIL.
x^2+3x-4x/5-12/5=
x^2+11x/5-12/5
and that would be your answer.
This stuff is a bit tricky and it get annoying with those pesky fractions. If you have any questions just comment.
I need help please ASAP?!!!
Answer:
Its 43.2
I hope this helps ^^
Answer:
43.2
Step-by-step explanation:
kilometers, hectometers, decameters, meters, decimeters, centimeters, millimeters
To go right once multiply be ten
To go left once divide by ten
4.32 • 10 = 43.2
Help me please I been trying to figure out how to do this problem
sin 30 = x/4
sin 30 = 0.5
0.5 = x/4
x = 2
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS!!! EVEN IF IT IS WRONG!!!!! Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet, and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of the hill after t seconds is given by the polynomial −16t2 + vt + h. Find the height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second.
Answer:
57 feet
Step-by-step explanation:
A formula is given for the height of the ball, and all of the values necessary to evaluate the formula are also given. The height of the ball after 4 seconds is found by substituting the given values into the formula and doing the arithmetic.
__
height = -16t² +vt +h . . . . . for t=4, v=72, h=25
height = -16(4²) +72(4) +25 = -256 +288 +25 = 57
The height of the ball is 57 feet above the bottom of the hill 4 seconds after it was kicked.
_____
Here's more about evaluating an expression for specific variable values:
https://brainly.com/question/26860222
Solve the proportion for b.
54
=
812
b = [?]
Answer:
Step-by-step explanation:
b = 8/2 *4
b = 16
How to convert 1 kg into centigrams
Answer:
[tex]1 ~\text{kg}= 100000~ \text{centigram}.[/tex]
Step-by-step explanation:
[tex]1 ~ \text{kg}\\\\=1000~ \text{g}\\\\=1000 \times 100~ \text{cg}\\\\=100000~ \text{cg}.[/tex]
Five times a number decreased by nine is equal to twice the number increased by 23 which equation could be used to solve the problem
Answer:
(5 • x) - 9 = 2x + 23
Examine the diagram. It is not drawn to scale.
X
50°
3
55°
Y
75°
N
What is the m<3?
m23 =
Answer:
M3 = 105°
angles on a straight line add up to 180°
M3 = 180 - 75
= 105°
Convert the following equation into standard form y=10x+12
Answer:
y = 10x + 12
y + (-12) = (10x + 12) + (-12)
y - 12 = 10x + 12 -12
x = [tex]\frac{y-12}{10}[/tex]
Hoang has worked as a nurse at Springfield General Hospital for 5 years longer than her friend Bill Two years ago she has been at the hospital for twice as long How long has each been at r=the hospital
Answer:
Hoang has been at the hospital for 12 years while Bill has worked for 7 years.
Step-by-step explanation:
Let the years Hoang has worked as a nurse equal h and let the years Bill has worked as a nurse equal b.
Since Hoang has worked 5 years longer, h is five more than b:
h = b + 5
Now we move onto the situation 2 years ago. 2 years ago, Hoang had worked at the hospital two less than h or h-2 years while Bill has worked for b-2 which is two years less than b. We are also told that at the time, Hoang worked twice as longs, so
h - 2 = 2(b - 2)
This can be simplified:
h - 2 = 2b - 4
h = 2b - 2
We can use substitution. Since h = b + 5 and h = 2b - 2,
b + 5 = 2b - 2
b = 7
Therefore, since Hoang has worked five more years, h = 12. So, Hoang has been at the hospital for 12 years while Bill has worked for 7 years.
PLS HELP!!! Explain how to use estimation to help find the product of two decimals. Give an example with both estimated and actual answers.
Answer: if you multiply decimals , the estimate value is necessary !
it could be understood easily, if at any place the number exceeds 4 , then the value in front is raised by one !
as;
2.234 = 2.23 , it will remain same but,
2.235 = 2.24 the 3 raised to 5 !!
Step-by-step explanation:
The function h(x) = 1/4|x| is a transformation of the absolute value parent
function, F(x) = |x|. Which graph shows h(x)?
The graph of the dilated absolute value function can be seen below.
How to get the graph of h(x)?
We know that h(x) = (1/4)*f(x), where f(x) is the parent absolute value function.
Then we have a vertical dilation of scale factor k = 1/4. Then the graph of h(x) wil be four times wider than the parent absolute value function.
The graph of h(x) is the one you can see below. Where there is also the graph of f(x) so you can compare them.
If you want to learn more about dilations:
https://brainly.com/question/3457976
#SPJ1
13-3-2-1+6 = please show your work.
Answer:
the answer is going to be 13
Answer:
13
Step-by-step explanation:
Follow PEMDAS
13-3-2-1+6
13-3=10
10-2-1+6=
10-2=8
8-1+6
8-1=7
7 + 6=13
You are asked to prepare a prescription for an Antihistamine 12.5mg/5ml elixir. What is the percent strength of the medication?
Answer:
1) 0.25%
Step-by-step explanation:
Ratio= weight in g/ volume in ml
1. percent strength = 12.5× 10-³g /5ml × 100%
=0.25%
Answer:
0.25%
Step-by-step explanation: Convert mg to g (1g = 1000mg)
12.5mg/1000mg = 0.0125g/5ml ( 0.0025) x 100 = 0.25%
The means and mean absolute deviations of the individual times of members of two relay swim teams are shown in the table below.
Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 200 meter Relay Swim Teams
Team A
Team B
Mean
127.9 s
127.4 s
Mean Absolute Deviation
0.26 s
0.23 s
The difference of the means is found and then compared to each of the mean absolute deviations. Which is true?
The difference between the mean times is about equal to the mean absolute deviation of the data sets.
The difference between the mean times is about 2 times the mean absolute deviation of the data sets.
The difference between the mean times is about 5 times the mean absolute deviation of the data sets.
The difference between the mean times is about 16 times the mean absolute deviation of the data sets.
The correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
The difference between the mean times is about 16 times the mean absolute deviation of the data set.
127.9-127.4=0.5
0.26-0.23=0.03
0.5/0.03=16.6666
We can see that the ratio of the mean times difference is 16 times the mean deviation by solving the above.
Therefore the correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.
To know more about mean follow
https://brainly.com/question/968894
#SPJ1
Answer: D
Step-by-step explanation:
Perform the given operation and simplify.
(m-2)(m*2+2m-3)
Answer:
=4m^2−11m+6
Step-by-step explanation:
Given algebraic expression:
(m-2)(m•2+2m-3)
To:
Simplify
Solution:
(m−2)(m(2)+2m−3)
=(m)(m(2))+(m)(2m)+(m)(−3)+(−2)(m(2))+(−2)(2m)+(−2(−3)
=2m^2+2m^2−3m−4m−4m+6
=4m^2−11m+6
X 49°
14
i will give points!!
In the given diagram, the length of the side marked x is 21.34
TrigonometryFrom the question, we are to determine the value of the side marked x
In the given diagram,
Hypotenuse = x
Adjacent = 15
Included angle = 49°
Using SOH CAH TOA
We can write that,
cos 49° = 14 / x
∴ x = 14 / cos 49°
x = 21.34
Hence, the length of the side marked x is 21.34.
Learn more on Trigonometry here: https://brainly.com/question/23505834
#SPJ1
(x-4)3/4 = 27
solve for x
Answer:
40
Step-by-step explanation:
Lets put the 3/4 at the beginning and expand this bracket :
3/4(x-4) = 27
3/4x - 3 = 27
Now we add 3 to both sides :
3/4x = 30
Now we times both sides by 4 :
3x = 120
Now we divide both sides by 3:
x = 40
Hope this helped and brainliest please
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The Osborne family and the Carey family are seeing a movie together in the theater. At the concession stand, Mr. Osborne paid $10 for 2 large popcorns and 1 large drink that his family will share. Mrs. Carey bought 4 large popcorns and 1 large drink and paid $16. How much does each item cost? A large popcorn costs $ and a large drink costs $ .
Answer:
p = 3 dollars d = 4 dollars
Step-by-step explanation:
2 p + 1 d = 10 given
4 p + 1 d = 16 given Subtract second equation from first to get:
-2p = - 6
p = 3 dollars then use this value in either of the equations to find 'd'
2(3) + d = 10
d = 4
WILL MARK BRAINLIEST 50 POINTS Find the area of the regular pentagon if the apothem is 7 ft and a side is 10 ft. Round to the nearest whole number.
175 ft2
350 ft2
35 ft2
70 ft2
Answer:
175 ft^2
Step-by-step explanation:
split the pentagon into 5 triangles with base length 10ft and height 7ft. each triangle then has an area of 10 * 7 * 1/2 = 35 ft^2
then the pentagon has an area 35*5 = 175 ft^2
What is the common ratio of the geometric sequence below?
-96, 48, -24, 12, -6, ...
0-2
1
2
02
The common ratio of the geometric sequence is -1/2
How to determine the common ratio?The geometric sequence is given as: -96, 48, -24, 12, -6, ...
The common ratio is calculated using:
r = T2/T1
From the sequence, we have:
T2 = 48
T1 = -96
This means that
r = 48/-96
Evaluate the quotient
r = -1/2
Hence, the common ratio of the geometric sequence is -1/2
Read more about common ratio at:
https://brainly.com/question/5633742
#SPJ1