Answer: | t- 98.6 | ≤ 3
Temperatures less than 95.6 and higher than 101.6 will be considered unhealthy.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality
.
| t- 98.6 | ≤ 3
Where t is the body temperature.
The absolute value inequality has 2 solutions:
1st solution
t-98.6≤ 3
t ≤ 3+98.6
t≤ 101.6
2nd solution
-(t-98.6) ≤ 3
-t+98.6 ≤ 3
98.6-3 ≤ t
95.6≤ t
Both:
95.6≤ t ≤ 101.6
Temperatures less than 95.6 and higher than 101.6 will be considered unhealthy.
Which graph represents the solution set for the quadratic inequality x^2+2x+1>0?
Answer:
x > -1 (Answer D)
Step-by-step explanation:
Note that x^2 + 2x + 1 > 0 is equivalent to (x + 1)^2 > 0. This has two solutions: {-1, -1} (two real, equal roots). The solution set includes all real numbers such that x > -1 (Answer D)
Find the value of x in the quadrilateral below.
Answer:
x=66
Step-by-step explanation:
118+106+70+x=360 The total sum of degrees in a quadrilateral is 360.
294+x=360 Add the given angle measures together.
x=66 Subtract 294 from both sides.
30% of blank equals 12
Answer:
40
Step-by-step explanation:
If you divide 30 by three, you get the 10%, which is 4, you multiply the 10% by ten to get the 100%, and you get 40. Hope this helps:)
If we are given x such that 25^x-9^y=18 and 5^x-3^y=3, compute 5^x+3^y.
25 = 5*5 and 9 = 3*3, which we can exploit to write
[tex]25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2[/tex]
so that this expression is actually a difference of squares. We can factorize this to get
[tex](5^x-3^y)(5^x+3^y)=18[/tex]
and given that [tex]5^x-3^y=3[/tex], we divide both sides by this to get
[tex]5^x+3^y=\dfrac{18}3=\boxed{6}[/tex]
The area of a square is 81cm squared . What is the perimeter of the square?
Answer:
36 cm
Step-by-step explanation:
The area of a square is given by
A = s^2
81 = s^2
Take the square root of each side
9 =s
We want the perimeter
P =4s
P= 4*9
P = 36
2) An employee makes a job change. Her original salary was $65,000, and her salary at her new job is $54,000. What percent decrease was her salary change?
Please show your work for full credit.
Answer:
An employee makes a job change.
Her original salary was S1 = $65,000.
Her salary at her new job is S2 = $54,000.
=> The percentage of change in her salary:
C = (|S2 - S1|/S1) x 100 = (|54000 - 65000|/65000) x 100 = 16.9%
Hope this helps!
:)
Answer:
Step-by-step explanation:
Decreased amount =65,000 - 54,000 = $ 11000
[tex]Percentage=\frac{11000}{65000}*100\\\\=\frac{1100}{65}\\\\[/tex]
=16.92%
Mia made 4 1/2 pounds of trail mix. If she puts 3/4 of a pound into each bag, how many bags can Mia fill?
Answer:
3/4x = 4 2/4
Step-by-step explanation:
x=6 so you can fill 6 bags
A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this exponential model?
Answer:
f(t)=67,000(.70)t
Step-by-step explanation:
correct answer on my test
Answer:
f(t) = 67,000(.70)t
Step-by-step explanation:
took the test and got it right
hope this helps
Which is an equation of the line with a slope of 2 that passes through (3,−5)?
A. y+5=2(x−3)
B. y−5=2(x+3)
C. y−5=3(x−2)
D. y+5=3(x−2)
Answer:
equation of a line= y-y¹=m(x-x¹)
y--5=2(x-3)
y+5=2x-6
y=2x-6+5
y=2x-1
given the following, find the values of all six trig functions of x.
1. sin((π/2)-x)=-1/2, csc(x)>0
2. sec((π/2)-x)=3, cos(x)<0
What is csc in the first one?
What is the sum of the interior angles of the polygon shown below?
Answer:
Step-by-step explanation:
select all the equations where y = 10 is a solution
y + 11 = 22
8 = 18 - y
60 = 6y
y/5 = 4
10y = 20
Answer:
2 and 3 is the correct one
Your initial investment of $20,000 doubles after 10 years. If
the bank compounds interest quarterly, what is your interest
rate?
Answer:
2,000
20,000 *10 /100
this is the answer and this is how to solve it
Do this for me please x
I need help with this pls
Answer:
Look at the attachment
Answer:
See below;
Step-by-step explanation:
For each consecutive vale of x, simply substitute into the chart as x, solving for the output of y;
Input ( x ) | Function Rule ( y = x / 2 ) | Output y |
0 | y = 0 / 2 | 0 |
1 | y = 1 / 2 | 0.5 |
2 | y = 2 / 2 | 1 |
4 | y = 4 / 2 | 2 |
The first two steps for simplifying 180 are shown below.
Complete the last step by simplifying the expression. What
is 180 simplified?
Step 1: 180 = 5.3.3.2.2
06
Step 2: 75.3 - 3:2.2 = V5 -32.22
O 65
0 30
30/5
Save and Exit
Next
Submit
Answer:
B
Step-by-step explanation:
help please Solve 2x2 − 8x = −7
You are making pies for your class. The recipe calls for 2/3 cups of sugar for every 2 pies. You realize that you want to make 5 pies for your class to make sure everybody gets a piece. How many cups of sugar will you need for all 5 pies? Input your answer as a whole number or improper fraction.
Answer:
5/3
Step-by-step explanation:
Felix drew two box-and-whisker plots to compare the same sets of data: In the form of a paragraph, use complete sentences to describe some of the differences in the prices of the two sets of books. Refer to the box and whisker plots to justify your answer.
Answer:
The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.
Write the linear equation in the slope-intercept form when m=1 and b=-12
Answer:
y = x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = 1 and b = - 12 , thus
y = x - 12 ← equation of line
Find the value of x in this polygon
Help me plz ASAP!! Will mark Brainliest if you figure it out! 10 points!
Answer:
60%
Step-by-step explanation:
18,000 / 8% = 1440
1,440 + 2,400 = 3,840
1,440 / 2,400 = 0.60
Answer:
60 persent
Step-by-step explanation:
because i also do study island
and i already did that leasonn
Which expression is equivalent to
Answer:
the expression is equivalent to x^2/3
Step-by-step explanation:
[x^4/3 x^2/3]^1/3
=[x^4/3+(2/3)]^1/3
by using laws of exponent
a^m a^n=a^m+n
=[x^4/3+2/3]^1/3
=[x^6/3]^1/3
={x^2]^1/3
by using law of exponent
(a^m)^n=a^mn
=x^2×1/3
=x^2/3
i hope this will help you :)
Answer:
x^2/3
option B is the right option
solution,
[tex]( {x}^{ \frac{4}{3} } . {x}^{ \frac{2}{3} }) ^{ \frac{1}{3} } \\ = ({x ^{ \frac{4}{3} + \frac{2}{3} } )}^{ \frac{1}{3} } \\ = ({x}^{ \frac{4 + 2}{3} } ) ^{ \frac{1}{3} } \\ = ( {x}^{ \frac{6}{3} } ) ^{ \frac{1}{3} } \\ = {x}^{ \frac{6 \times 1}{3 \times 3} } \\ = {x}^{ \frac{6}{9} } \\ divide \: 6 \: and \: 9 \: by \: 3 \\ = {x}^{ \frac{2}{3} } [/tex]
hope this helps...
Good luck on your assignment...
Zac invests $3500 at 8% p.a. simple interest for a period of time, to produce $210 interest. For how long did he invest the money?
Please help me in the steps to finding the answer and also the solution. Thx
Answer:
9 months
Step-by-step explanation:
simple interest ( I) is calculated as
I = [tex]\frac{PRT}{100}[/tex]
P is the principal, R the rate of interest and T the time in years
Here I = 210, P = 3500 and R = 8, thus
210 = [tex]\frac{3500(8)T}{100}[/tex] = 35 × 8T = 280T ( divide both sides by 280 )
0.75 = T
Thus T = 0.75 years = 9 months
The money was invested for 9 months
Answer:
9 months
Step-by-step explanation:
investment= 3500
interest rate= 8% PA simple
time= x years
Interest= $210
---------------
3500*0.08*x=210280x=210x=210/280=3/4 year3/4 year= 3/4*12 month= 9 months
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted: rectangle with a length of x plus 15 and width of x plus 10 with a rectangle in the bottom right corner labeled bench that has a length of 5 and width of 1
a=(x+20)(x+11)
a=(x+15)(x+10) + 5
a=(x+15)(x+10) - 5
a=(x+9)(x+10)
Answer:
C
Step-by-step explanation:
A patio=(x+15)*(x+10)
A bench=5*1=5
A painted=A patio-A bench
A painted=(x+15)*(x+10)-5
thus, the answer is C
The painted area is [tex]a=(x+15)(x+10)-5[/tex]. So, option C is correct.
Important information:
Length of rectangular patio is (x+15).Width of rectangular patio is (x+10).Length of bench is 5.Width of bench is 1.Area of rectangle:Area of a rectangle is:
[tex]A=Length \times Width[/tex]
Area of rectangular patio is:
[tex]A_1=(x+15)(x+10)[/tex]
Area of bench is:
[tex]A_2=5\times 1[/tex]
[tex]A_2=5[/tex]
The painting area is:
[tex]a=A_1-A_2[/tex]
[tex]a=(x+15)(x+10)-5[/tex]
Therefore, the correct option is C.
Find out more about 'Area of rectangle' here:
https://brainly.com/question/3133832
Write a compound inequality for the graph shown below.
Use x for your variable.
Answer:
-3 < x ≤ 4
Step-by-step explanation:
x is between -3 and 4, but -3 is not included in the solution set:
-3 < x ≤ 4
1. A breakfast cereal is made of oats, nuts, and raisins. The advertisements boast that 25% of the cereal in each box is almonds. What portion of each box is not almonds?
2. A breakfast cereal is made of oats, nuts, and raisins. The advertisements boast that 25% of the cereal in each box is almonds. If each box contains 12 cups of cereal, how many cups of almonds are in each box?
3. A breakfast cereal is made of oats, nuts, and raisins. Each box contains 12 cups of cereal, and 4 cups are oats. What percentage of each box is oats?
Answer:
Step-by-step explanation:
1) The advertisements boast that 25% of the cereal in each box is almonds. It means that the percentage of the other cereals in the box is 100 - 25= 75%
Therefore, the portion of each box that is not almonds is 75/100 = 0.75
2) The advertisements boast that 25% of the cereal in each box is almonds. If each box contains 12 cups of cereal, then the number of cups of almonds in each box is
25/100 × 12 = 3 cups
3) if each box contains 12 cups of cereal, and 4 cups are oats, then the percentage of each box that is oats is
4/12 × 100 = 33.33%
Find the rate of change for the function
A)90
B)60
C)30
D)3
Answer:
It is C for sure
Step-by-step explanation:
Given that f(x) =19x2 +152 solve the equation f(x) =0
Answer:
152
Step-by-step explanation:
f(x) =19x2 +152
f(0) = 190(0)^2 + 152
= 152
PLS HELP ASAP LIKEEE
Answer:
103.5
Step-by-step explanation:
Answer:
103.5
Step-by-step explanation:
