Solve the compound inequality 5 < k -2 < 11
Answer:
7 < k < 13
Step-by-step explanation:
5 < k -2 < 11
5 < k -2 < 11
+2 + 2 +2
—————————— ( Add 2 to all parts )
7 < k < 13
Simplify the following surd expressions
a)
[tex]7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]
b)
[tex]5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]
Answer:
a) 3√3b) √7Step-by-step explanation:
a)
7√3 -2√3 + √3 - 3√3 =√3(7 - 2 + 1 - 3) =√3*3 =3√3b)
5√7 + 4√7 - 8√7 =√7(5 + 4 - 8) =√7*1 =√7plzz helpp guys
At the beginning of an environmental study, a forest covered an area of 1500 km . Since then, this area has decreased by 2.4% each year. Lett be the number of years since the start of the study. Let y be the area that the forest covers in km². Write an exponential function showing the relationship between y and t.
Answer:
[tex]y = 1500(0.024)^t[/tex]
Step-by-step explanation:
Given
[tex]a = 1500km[/tex] -- initial area
[tex]b = 2.4\%[/tex] -- rate
[tex]t = time[/tex] --- (years)
Required
Represent as an exponential function
An exponential function has the form:
[tex]y = ab^t[/tex]
Where
[tex]a = initial\ value[/tex]
[tex]b = rate[/tex] and [tex]b \ne 1[/tex]
[tex]t= time[/tex]
Substitute values for a and b, we have:
[tex]y = 1500 * (2.4\%)^t[/tex]
Convert percentage to decimal
[tex]y = 1500 * (0.024)^t[/tex]
[tex]y = 1500(0.024)^t[/tex]
Hence, the exponential function that represents the scenario is: [tex]y = 1500(0.024)^t[/tex]
y=x+3
y=x-3
Solve these equations
Answer:
what is x?
Step-by-step explanation:
Answer:
No solutions
Step-by-step explanation:
x + 6 ≥ 4 and 3x + 5 ≤ 5
What is the degree of the power function represented in the table
Answer:
2
Step-by-step explanation:
i took the quizz
Divide. Write the quotient in lowest terms.
5 divide 3 1/3
Answer:
3/2 or 1 1/2
Step-by-step explanation:
5÷3 1/3
5/1 ÷ 10/3 because you have to get it into an improper fraction form in order to divide
5/1 × 3/10 because you have to multiply the first number by the reciprocal
5 and 10 cancel out so you would have 2 at the bottom
3/2 or 1 1/2
A painting measures 2.4 feet from left to right. It’s hung in the center of a rectangular wall measuring 20 feet from left to right. What is the distance between the right edge of the painting and the right edge of the wall? Assume that the painting does not tilt.
A. 7.6 feet
B. 8.8 feet
C. 17.6 feet
D. 18.8 feet
B) 8.8
(20-2.4)/2 = 8.8
Rx: Ceftriaxone 500 mg IVPB in DSW 50 ml, infuse over 30 min q12h. The 2-g ceftriaxone vial states that if you reconsti- tute with 8.6 ml, the resulting final volume of the vial is 10 ml. a. How much diluent would be added to obtain a vial concentration of 1 g/10 mL? b. If the vial is diluted to 1 g/10 mL, how much drug would be drawn up for one dose? c. How many doses are available in one 2-g vial? d. How many vials would be needed to prepare a 7-day supply? e. If you were preparing a 7-day supply, how many 20-mL vials of sterile water would you need to reconstitute the ceftriaxone vials? f. If the 500-mg dose is added to DSW 50 ml, what is the total volume of one IVPB?
Gavin is moving into a new ampartment that has a kitchen with an area of 50 square feet. If the area of the kitchen is 10 square feet more than 1 _ 3 the area of the bedroom, what is the area of gavin's bedroom?
Answer:
[tex]B =120[/tex]
Step-by-step explanation:
Given
Represent Kitchen with K and Bedroom with B.
So:
[tex]K = 50ft^2[/tex]
[tex]K = 10 + \frac{1}{3}B[/tex] --- 10 more than 1/3 of Bedroom area
Required
Determine the bedroom area
The expression of K and B has been determined above.
The next step is to substitute 50 for K in the second equaion
[tex]K = 10 + \frac{1}{3}B[/tex]
[tex]50 = 10 + \frac{1}{3}B[/tex]
Multiply through buy 3
[tex]3 * 50 = 3 * 10 +\frac{1}{3}B * 3[/tex]
[tex]150 = 30 +B[/tex]
Make B the subject
[tex]B =150 - 30[/tex]
[tex]B =120[/tex]
Hence, the area of the bedroom is 120ft^2
Answer:
120
Step-by-step explanation:
no explanation
Please help please please ASAP
Answer:
choose the first one.
0.87
Answer:
Use your calculator
Step-by-step explanation:
Press the cos button COS( - should look like that... Then fill it out COS(30) make sure to add the closed parenthesis so you dont get an error. And then BAM you got your answer and dont have to look anymore up. XD
A shop will sell a mixture of almonds and cashews. Almonds cost $2.50 per pound and cashews cost $3.25 per pound. The shop will make 80 pounds of the mixture and sell it for $2.95 per pound. How many pounds of almonds should they use?
Answer:
32 pounds of almonds
Step-by-step explanation:
Let the number of pounds of almond be a while that of cashews be c
we want to make a total of 80 pounds
Thus;
a + c = 80 ••••••••(i)
Furthermore;
Let us work with the costs
Costs of a pounds of almonds will be ;
a * 2.5 = 2.5a
cost of c pounds of cashews
c * 3.25 = 3.25c
Total cost at which they sell will be 80 * 2.95 = 236
Thus;
3.25c + 2.5a = 236 •••••(ii)
From i, c = 80-a
Put this into ii
3.25(80-a) + 2.5a = 236
260-3.25a + 2.5a = 236
0.75a= 24
a = 24/0.75
a = 32
what is 41,250 written in scientific notation
Why is 41,250 written as 4.125 x 104 in scientific notation?
Need help ASAP giving 35 points and giving a branliest
Answer:
B. 1 1/9 ft³Step-by-step explanation:
Sides of the prism:
2*1/3 = 2/3 ft3*1/3 = 1 ft5*1/3 = 5/3 ftVolume:
2/3*1*5/3 = 10/9 = 1 1/9 ft³What is the simplified form of
of (-7xº+5x²-x+6)-(-8x2 + x +3)?
ОА.
-x + 4x2 - x+3
OBX + 4x² - x+3
ocx - 4x² – 2-3
D. -15x + 6x? - X+9
Please I need help immediately
Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.
Answer:
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)[/tex]
solving the expression
[tex]=-7x^0+5x^2-x+6-\left(-8x^2+x+3\right)[/tex]
apply the rule: [tex]a^0=1,\:a\ne \:0[/tex]
[tex]=-7+5x^2-x+6-\left(-8x^2+x+3\right)[/tex]
[tex]=-7+5x^2-x+6+8x^2-x-3[/tex]
simplify
[tex]=13x^2-2x-4[/tex]
Therefore, the simplified form is:
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4[/tex]
Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.
Day 1 is negative 4 dollars, day 2 is negative 2 dollars, day 3 is negative 3 dollars.
Sung borrowed money from his parents over the last three days. This is represented by the negative values in the table.
What is the total of the values?
What is the average of the values?
Answer:
-9 or $9 borrowed
$3 is the average
Step-by-step explanation:
-4 + -2 + -3 = -9
$9/3 days = $3
Modell’s sports store has a 30% off sale on all of its merchandise. How much is the discount on a baseball glove that originally costs $25?
What is the area, in square feet, of the trapezoid below?
Answer:
68.75
Step-by-step explanation:
Measure the length of the parallel sides and add them together. Then multiply this number by the height of the area. Then multiply by ½ or divide by two to find the square footage of the trapezoid.
13.6 + 5.9= 19.5
19.5 + 8 = 27.5
27.5 x 5 = 137.5
137.5 x 1/2 = 68.75
Select the correct answer.
Determine which equation has the same solutions as the given equation.
x2 − 10x − 11 = 0
A.
(x − 5)2 = 21
B.
(x − 10)2 = 21
C.
(x − 10)2 = 36
D.
(x − 5)2 = 36
Answer:
D. [tex]\displaystyle (x - 5)^2 = 36[/tex]
Step-by-step explanation:
All you are doing is converting this Quadratic Equation to a Vertex Equation in Vertex Form by completing the square:
[tex]\displaystyle [\frac{b}{2}]^2 \\ \\ x^2 - 10x - 11 = 0 → x^2 - 10x + 25 - 36 = 0→ (x - 5)^2 - 36 = 0 \\ \\ (x - 5)^2 = 36[/tex]
It is that simple, is it not?
I am joyous to assist you at any time.
Gerald read 6/7 of a book. Mary read 2/7 of the same book.
How much more of the book did Gerald read?
Answer:
4/7
Step-by-step explanation:
6/7-2/7=4/7
Answer:
I believe that the answer is 4/7
Cory has a sister named Jessica. Jessica is 7
years older than twice Cory's age. Write an
expression that represents the relationship of
Jessica's age in terms of Cory's age, c.
Answer:
2c+7
Step-by-step explanation:
Jessica is 7 more than 2x Cory's age.
Given that Cory is c years old,
then Jessica is
2c+7
I hope this helps! :)
6th Grade Math! Can you please help?
Answer:it is c and d
Step-by-step explanation:
To rent a certain meeting room, a college charges a reservation fee of $38 and an additional fee of $7.40 per hour. The history club wants to spend less then $75.00 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
the anwser is 55 easy hope this helps;)
Step-by-step explanation:
Lupe is the manager of the football team, and she has to plan a team dinner for Saturday night. She knows that one large pizza can feed 3 players and one sandwich tray can feed 4 players. Lupe needs to order enough food for the 72 players on the team. (a) Write a linear equation to represent the number of pizzas (x) and the number of sandwich trays (y) she could purchase to feed the football players.
Answer:
3x + 4y = 72
Step-by-step exlanation:
Number of pizzas = x
Number of sandwich trays = y
one large pizza can feed 3 players
one sandwich tray can feed 4 players
Total players = 72
The linear equation is
3x + 4y = 72
HELP PLEASE WILL MAKE BRAINLIEST
Answer:
20 and 6
Step-by-step explanation:
they will be 20 and 6
please help me on this!! will give u brainliest.
Please help please please ASAP please please
Step-by-step explanation:
ac is the answer
.............
7 #3
Solve the following two equations. Show all of your
steps in the line paper provided. Be ready to share your
work!
Equation #1: 3x + 6 = x - 24
Equation #2: 10 – 2m = 16
Answer:
x = -15
m = -3
Step-by-step explanation:
3x + 6 = x - 24
subtract the x from both sides to make the unknown variable on only one side of the equation
2x + 6 = -24
subtract the 6 from both sides to focus on the x
2x = -30
now divide both sides by 2 to get the x by itself
x = -15
that's your answer
10 - 2m = 16
subtract the 10 from both sides to focus on the m
-2m = 6
now divide both sides by -2 to get the m by itself
m = -3
that's your answer
2 = 9 + 5/2
please answer this
Answer:
false
Step-by-step explanation:
Answer:
Convert 529 5 2 9 to an improper fraction.
Step-by-step explanation:
What is the range of the following numbers:
12,20,18,25,6
Answer:
19
Step-by-step explanation:
You need to find the biggest and smallest number; 25,6
Then you subtract 6 from 25
25-6=19
I hope this helps!!!!!!!
Answer:
19
Step-by-step explanation:
The range is the difference between the highest and the lowest number
So 6, 12, 18, 20, 25 and 25-6 = 19