Given:
The inequalities are:
[tex]-2<x<3[/tex]
[tex]-2\leq x<2[/tex]
To find:
The integer values that satisfy both inequalities.
Solution:
We have,
[tex]-2<x<3[/tex]
[tex]-2\leq x<2[/tex]
For [tex]-2<x<3[/tex], the possible integer values are
[tex]x=-1,0,1,2[/tex] ...(i)
For [tex]-2\leq x<2[/tex], the possible integer values are
[tex]x=-2,-1,0,1[/tex] ...(ii)
The common values of x in (i) and (ii) are
[tex]x=-1,0,1[/tex]
Therefore, the integer values -1, 0 and 1 satisfy both inequalities.
1 1 point
Answer each of the following. Write your final answers in the blanks provided.
A building is 50 ft. high. At a distance away from the building, an architect observes that the angle of elevation to the top of the building is
28° How far is the observer from the base of the building? Round to the nearest foot.
Answer:
58
Step-by-step explanation:
57.5 round up. 58
PLEASE HELP ASAP!!! i’ll mark brainlessly
1.5 km per hour
ngl i could be wrong :/
pls help due asap ....
Answer:
c
Step-by-step explanation:
8t=−32
Help a sister out
Answer:
t=-4
Step-by-step explanation:
Answer:
t = -4
Step-by-step explanation:
divide each term by 8 and simplify
Chelsea went ice-skating. The ice, her skates, the Zamboni, and the rink building itself were all examples of solids she encountered. She developed a model of the particles in the ice. Which of these statements about the particles present in her model of a solid are true? Choose the three statements that apply.
A.They vibrate in place
B.They slide past each other.
C.They are packed very closely together.
D.They cause the solid to have definite volume and shape.
What is this? Someone please help me
Answer and Step-by-step explanation:
Haven't done this in a while, so here we go:
The rule (I'm not really sure) would have to be negative number and negative number.
This means that:
(4, 0) would become (-4, 0) A'
(6, -2) becomes (-6, 2) B'
(8, -7) becomes (-8, 7) C'
and (0, -5) becomes (0, 5) D'
#teamtrees #WAP (Water And Plant)
1. SOCCER Suppose a youth soccer field has a
perimeter of 320 yards and its length measures 40
yards more than its width. Ms. Hughey asks her
players to determine the length and width of their
field. She gives them the following system of
equations to represent the situation. Use elimination to
solve the system to find the length and width of the
field.
2L + 2W=320
L - W = 40
Answer:
L = 100
W = 60
Step-by-step explanation:
2L + 2W = 320
-2L + 2W = -80
4W = 240
W = 60
L - W = 40
L - 60 = 40
L = 100
give your answer as mixed fraction and simplest from .
What is the 149th term in the arithmetic sequence below?
3 11 19 27
A) a(149) = 1187
B) a(149) = 1199
C) a) 149) = 1184
D) a(149) = 1189
I got 141 obviously that's completely incorrect plz help
Answer:
1,187
Step-by-step explanation:
The nth term of an arithmetic sequence is expressed as;
an = a + (n-1)d
a is the first term
n is the number of terms
d is the common difference
Given the sequence 3, 11, 19, 27...
a = 3
d = 11-3 = 19-11 = 8
n = 149 (since we need the 149th term)
a149 = 3 + (149-1)(8)
a149 = 3+(148)(8)
a149 = 3+1,184
a149 = 1,187
Hence the 149th term is 1,187
Brianliest for correct answer
Answer: i Think it would be 80
Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though
Daniel works for 3 hours one day he gets paid $6 an hour.
0.7 mm to centimeters
Answer: 0.07 centimeters
Step-by-step explanation: 0.7millimeters equals 0.07 centimeters
I NEED HELP OMG PLSSSS
Answer:
m = 3
Step-by-step explanation:
-5m - 10 = -25
-5m = -15
m = 3
Answer:
[tex] - 5m - 10 = - 25 \\ - 5m = 10 - 25 \\ - 5m = - 15 \\ m = \frac{( - 15)}{ (- 5)} \\ \boxed{m = 3}✓[/tex]
★ m=3 is the right answer.can i please get some help asap
The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute
PLEASE SOON!!
Answer:
In the case of 70 mph, time would be 105/70 or 1.5 hours (90 minutes).
Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and
5 cm
Answer:
The correct option is C
Step-by-step explanation:
I attached an image that forms the complete question.
The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."
That is if c is the longest side of a triangle and then a and b are the other sides, then if,
c² = a² + b², the triangle is a right triangle.
Looking at all the options, option C fits the theorem well. Because
3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.
The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.
Therefore, the correct option is c.
Answer:
c
Step-by-step explanation:
Mr. Sampson wants to ship a birthday gift to his son in the navy. To meet shipping requirements at the Local U
Pack It We Ship it Store, the perimeter of the rectangular-shaped gift box must be less than 30 inches. Write
and graph an inequality to describe this situation.
X= length
Y= width
Answer:
Step-by-step explanation:
If length of the box = x
And width of the box = y
Then perimeter of the box = 2(length + width)
= 2(x + y)
Since, perimeter of the box is less than 30 inches.
2(x + y) < 30
x + y < 15
y < -x + 15
Since, this inequality has a sign of less than, line on the graph will be a dotted line.
y intercept of the dotted line y = 15 (by x = 0)
x intercept of the line x = 15 (by y = 0)
Constraints for the graph will be,
x > 0
y > 0
Now we can plot the dotted line by joining the x and y intercepts.
In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.
a cupcake recipe calls for 4 cups of flour into cups of sugar. Angelica only has three cups of flour. How much sugar would she need to keep the ratio equivalent if she uses all the flowers she has?
Answer:
she would need like 2cups of sugar
Judy baked a pizza for lunch.The size of the pizza was 14 inches in the diameter. Find the area of the pizza.
If f (x) = 4x-3, what is f (x)"?
Answer:
4x-3
Step-by-step explanation:
F(x) is a function group. In this scenario, f(x) = 4x-3 where x is equal to x.
3x 10'4+ 2.5 x 10’5 =
A new soft drink has 20% less sugar than before.
The drink had 50 grams of sugar originally.
How much less sugar does it have now?
The required amount of sugar is given as 40 grams.
Given that,
A new soft drink has 20% less sugar than before. The drink had 50 grams of sugar originally, how much less sugar it has now is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
According to the question,
The final amount of sugar = [1 - 0.02][50]
= 40 grams
Thus, the required amount of sugar is given as 40 grams.
Learn more about simplification here:
https://brainly.com/question/1369388
#SPJ2
What is the value of tan(60°)?
A
12
30°
B
60°
14
Answer:
the answer is 1.7320508076
Which expression is equivalent to -6(3x-2/3)
Answer:
-18x + 4
Step-by-step explanation:
Solve each equation.
2x=52x=5
answer asap plz
Answer:
The correct answer for this problem is 55
what is the simplified form of √45
A) √5
B) √9•5
C) 3√5
D)5√3
Try the following puzzle:
A bat and ball cost $1.10.
The bat costs one dollar more than the ball.
How much does the ball cost?
Answer:
10 cents
Step-by-step explanation:
the bat cost 1 dollar so subtract 1 dollar from 1.10 and you are left with .10 or 10 cents
Answer:
the ball costs $0.05
Step-by-step explanation:
if the total is $1.10, and the bat is $1 more than the ball, you do
1+2x=1.10. do the algebra, and you get 0.05. hope this helps.
2. Simplify the expression by combining like terms. 3y+4y+6
A. 13y
B.7y+6
C.12y+6
D.18y
Answer:
B
Step-by-step explanation:
Y is the like term here, so add them together: 3y+4y=7y.
So now you have 7y+6
Please help me with this equation, you are supposed to find x
Answer:
I believe its 2/3
Step-by-step explanation:
s=ut+ 1/2 at²
u=10 a= -2 t= 1/2
work out the value of s