Hey there!
1/(√2+√3)-√4
=−2−√2+√3
(Decimal: -1.682163)
A marketing company is designing a new package for a box of cereal. They have determined that the function C(x) = 4.5 x2 models the cost of a box with side lengths as shown (measured in inches).
Identify a reasonable domain and range for the function.
So the function is
[tex]\\ \rm\rightarrowtail y=4.5x^2[/tex]
As we know
x²≥0x≥0
hence domain is
[tex]\\ \rm\rightarrowtail D_f\in R[/tex]
Least value of function is at x²=0 i.e 0Hence range:-
[tex]\\ \rm\rightarrowtail R_f\in [0,\infty)[/tex]
Lacie bought a $20 shirt that was marked down 30%. what did she pay after tax of 6% was added to the price of the shirt?
Answer:
14.84
Step-by-step explanation:
20*(6%+1)*(1-30%)
20*(0.06+1)*1-0.3)
20*1.06*0.7
14.84
what is the correct answer to this?
Answer:
1.4 meters
Step-by-step explanation:
Given,
Volume of rectangular prism ( V ) = 18.144 cubic meters
Width ( w ) = 2.7 m
Length ( l ) = 4.8 m
To find : d
Here, d is Height ( h ).
Formula : -
V = whl
18.144 = 2.7 x 4.8 x d
18.144 = 12.96 x d
d = 18.144 / 12.96
d = 1.4 meters
[tex] \huge\fbox\green{ANSWER} [/tex]
[tex]v = l \times w \times h[/tex]
[tex]18.144 {m}^{3} = 4.8m \times 2.7m \times d[/tex]
[tex]18.144 {m}^{3} = 12.96 \times d[/tex]
[tex] \frac{18.144 {m}^{3} }{12.96 {m}^{2} } = \frac{12.96 {m}^{2} }{12.96 {m}^{2} } \times d[/tex]
[tex]1.4m = d[/tex]
James has 16 balloons . 1/4 of his ballons are red. How many red ballons does he have
Answer:
James has 4 red balloons
Step-by-step explanation:
16 × 1/4 = 4
You could also say 16 ÷ 4 = 4
Hope that helps!
Can someone please help me with this question?
Answer:
x< -6 or x > 0 (C is correct for question 1.) x ≤ 2 (C is correct for question 2)
Step-by-step explanation:
You have given me 2 questions:
| x + 3 | + 7 > 10
3x + 6 ≤ 12
Let's solve the first one:
| x + 3 | + 7 > 10
Before we start, the greater-than sign means that the point on the number line has to not be filled in.
| x + 3 | + 7 > 10
**Along with this equation you need to do a negative one meaning you need to flip the sign to a less than one and make 10 and 7 negative.
| x + 3 | - 7 < -10
| x + 3 | + 7 > 10
**Notice that this one is the original one.
Subtract 7 both sides
| x + 3 | > 10 -7
Now do 10-7
| x + 3 | > 3
Now subtract 3 both sides
x > 0
The negative case:
| x + 3 | - 7 < -10
Add 7 both sides
| x + 3 | < -10 + 7
Do -10 + 7
| x + 3 | < -3
Subtract 3 both sides
x < -3-3
Solve -3-3
x < -6
Your inequalities:
x< -6 or x > 0
The or statement is for greater than and the "and" is for less than.
Answer Choice C is correct.
Next Question:
3x + 6 ≤ 12
**Before we do anything, we have a less than or equal sign**
The point will be filled on the number line.
This is a typical inequality two-step:
3x + 6 ≤ 12
Subtract 6 from both sides
3x ≤ 12-6
Do 12-6
3x ≤ 6
Now divide 6 by 3
x ≤ 2
Answer Choice C is correct.
You invest $600 in an account that has a annual interest rate of 7%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded?
1.75% and 1 time
5.7% and 4 times
1.75% and 16 times
5.7% and 16 times
Answer:
1.75% and 16 times
Step-by-step explanation:
Compound interest formula:
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = initial principal balancer = annual interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periodsGiven:
P = $600r = 7% = 0.07n = 4t = 4Substituting given values into the formula:
[tex]\sf \implies A=600(1+\frac{0.07}{4})^{4 \times4}[/tex]
[tex]\sf =791.9576107...[/tex]
Equivalent interest rate:
[tex]\sf \implies \dfrac{r}{n}= \dfrac{0.07}{4}=0.0175=1.75 \%[/tex]
Number of times compounded:
[tex]\sf \implies nt=4 \times 4=16[/tex]
Kate and Isaac share 495 sweets.
Kate gets 20% more sweets than Isaac
How many sweets does Isaac get?
Answer:
I believe it is 149Step-by-step explanation:
what will be the answer to 20 x 20
Answer:
400
Step-by-step explanation:
you can do 2x2 and you get 4 then add the zeros
what is y=-2x+5 as standard form
Answer:
2x + y = 5
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y = - 2x + 5 ( add 2x to both sides )
2x + y = 5 ← in standard form
Answer:
y=-2x+5 as standard form is 2x+y=5
Which value would make the inequality 4.5d > 31.5 true?
A. d=8
B. d=7
C. d=6
D. d=5
Answer:
d=8
Step-by-step explanation:
4.5(8)>31.5 works because 36>31.5
Answer.. below: . . .
. . . . . ....
.
.
.
3/12 + 239/12 =
2309/23 + 32/32=
34/234 + 349/234=
23/23-11/23=
57/78-32/78 =
Answer:
3/12 + 239/12 = 20.16...
2309/23 + 32/32= 101.39
34/234 + 349/234=1.64
23/23-11/23= 0.52
57/78-32/78 = 0.32
Step-by-step explanation:
Just divide both sides first and then add, so it is easier to get your answer.
My answers are all rounded or repeated.
I hope this helps!
-No one
Answer/Step-by-step explanation:
3/12 + 239/12
3 + 239 = 242
242/12 = 20 1/6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Find common multiplier
2309/23 + 32/32
Add
2332/23
Mixed Fraction
101 9/23
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
34/234 + 349/234
23 + 349 = 383
383/234
Mixed Fraction
1 149/234
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
23/23-11/23
23 - 11 = 12
12/23
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
57/78 - 32/78
57 - 32 = 25
25/78
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~lenvy~
can someone help me with this
Ms. Lynch drove her new car
50000000 fast (12 miles in 6 mins.)
that she nearly scared Ms. Allen to
death; who was riding in the car.
What is her speed in miles per hour?
Answer:
120 miles/hour
Step-by-step explanation:
6 x 10= 60 min
12 x 10= 120 miles
Answer:
Definitely 120 miles per hour.
Step-by-step explanation:
First, if she drove 50,000,000 fast, you need to do 6 minutes x 10 because 10 can go into 50,000,000. So, yes, it's 60. But that isn't right... it's too short. Try the next one.
How about we do the miles. 12 miles x 10 will get you your answer; 120.
I honestly don't know what I'm doing. It most likely isn't 120, but I did the math, and it was hard.
I’m confused on what to do.
All you need to do is use your calculator to solve that equation. Just so you don't need to for just this one, here's the answer you should type into the box:
3/20
pls help me. Will give 30 points and brainliest if you tell me how. I need 2 and 4. PLS HURRY
Find the area of the shaded figure. To do so, subtract the area of the smaller
square from the area of the larger square,
Square
(x²-3)
x meters
meters
The area of the shaded region is
(Simplify your answer. Do not factor)
Answer:
x⁴ - 8x² + 9
Step-by-step explanation:
The Area of the smallest square is A1 = x . x = x²
The Area of the second square is A2 = ( x² - 3 )(x² - 3)
A2 = x⁴ - 3x² - 3x² + 9
A2 = x⁴ - 6x² + 9
The Area of the Shaded shape is A2 - A1
x⁴ - 6x² + 9 - x²
x⁴ - 8x² + 9
The half-life of sr-85, which may be used in bone scans, is 64. 8 days. How many milligrams of a 7 mg sample will be left after 127 days? round to the hundredths place
[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &7\\ t=\textit{elapsed time}\dotfill &127\\ h=\textit{half-life}\dotfill &64.8 \end{cases} \\\\\\ A=7\left( \frac{1}{2} \right)^{\frac{127}{64.8}}\implies A=7\left( \frac{1}{2} \right)^{\frac{635}{324}}\implies A\approx 1.80[/tex]
The half-life of sr-85, which may be used in bone scans, is 64.8 days. 1.80 milligrams of a 7 mg sample will be left after 127 days.
What is half-life?Half-life is defined as the time required for a quantity to reduce to half of its initial value.
The half-life of sr-85, which may be used in bone scans, is 64. 8 days.
We need to find how many milligrams of a 7 mg sample will be left after 127 days.
[tex]\rm A = P\frac{1}{2} ^{t/h}[/tex]
here A = current amount
P = inital amount
t = time
h = half life
So,
[tex]\rm A = 7\frac{1}{2} ^{127/64.8}[/tex]
[tex]\rm A = 7\frac{1}{2} ^{635/324}\\A = 1.80[/tex]
Learn more about half-life;
https://brainly.com/question/24710827
#SPJ4
Find the equation of the line that is perpendicular to the line Y equals negative 4X -4 and passes through the point -2, -4. Write the equation in point slope form
======================================================
Perpendicular lines have slopes that are opposite reciprocals.
This means we take the slope, flop it over, and change its sign.
In this case, we have
[tex]\boxed{-4}[/tex]
First, flop it over:
[tex]\boxed{-\frac{1}{4}}[/tex]
Change its sign:
[tex]\boxed{\frac{1}{4}}[/tex]
Now, let's write the equation of the line in point-slope form:-
[tex]\bigstar\boxed{\pmb{y-y1=m(x-x1)}}\longleftarrow\sf{Point-Slope~Formula}[/tex]
Where
y₁ is the y-coordinate of the point that the line intersects
m is the slope of the line
x₁ is the x-coordinate of the point that the line intersects
In this case,
y₁ is equal to -4
m is equal to [tex]\boxed{\frac{1}{4} }[/tex]
x₁ is equal to -2
Plug in the values:-
[tex]\bigstar{\boxed{y-(-4)=\frac{1}{4}(x-(-2)}[/tex]
Simplify:-
[tex]\longrightarrow\sf{y+4=\frac{1}{4} (x+2)[/tex]
and we're done!
===========================================================
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Help please!! Thank you!! :)
Let m = x^2+3
Which equation is equivalent to (x^2+3)^2+7x^2+21=-10 in terms of m?
A. m^2+7m+10=0
B. m^2-7m+10=0
C. m^2+7m+31=0
D. m^2-7m+31=0
Answer:
A. m^2+7m+10=0
Step-by-step explanation:
This is a problem in pattern matching, and in substituting a variable for a pattern.
(x^2+3)^2 +7x^2 +21 = -10 . . . . . . given
(x^2 +3)^2 +7(x^2 +3) = -10 . . . . . factor the last two terms
m^2 +7m = -10 . . . . . . . . . . . . subsitute m for x^2 +3
m^2 +7m +10 = 0 . . . . . . . . add 10 to both sides; matches A
When solving, at what point do you know that your solutions are imaginary? Does x^2 +9 =0 have real or imaginary solutions? How do you know?
Answer:
Real solutions
Step-by-step explanation:
I know that because I am smart
PLEASE HELP!! It's due tomorrow and I don't understand it..
1. Find the length of the arc shown in red:
2. Find the area of the circle:
Answer:
Step-by-step explanation:
Find the value of X
And tell whether the side lengths form a Pythagorean triple
Answer:
8 and yes
Step-by-step explanation:
c² - b² = a²
100 - 36 = a²
64 = a²
a = 8
the three sides form a sequence, 6, 8, 10, which is the pythagorean triple.
What is the maximum age of the youngest 25% of the passengers?
Using the percentile concept, it is found that the maximum age of the youngest 25% of the passengers is of 30.
What is the percentile concept?When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.
Researching the problem on the internet, it is found that the distribution of the ages is described by a box and whisker plot, which states that:
The 25th percentile is of 30.The median is of 45.The 75th percentile is of 60.Hence, the maximum age of the youngest 25% of the passengers is of 30.
More can be learned about the percentile concept at https://brainly.com/question/24495213
After reviewing her driving record for the past 3 years, Cindy’s insurance company offers her a good driver discount of 4. 5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Annual Premiums Bodily Injury $50/100,000 $31. 75 Property Damage $25,000 $120. 50 Collision $500 deductible $275. 75 Comprehensive $100 deductible $100. 00 a. $504. 24 b. $523. 50 c. $528. 00 d. $551. 76.
Cindy's new annual premium including the discount would be given by: Option A: $504.24
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
The table given is:
Type of Insurance Coverage Coverage Limits Annual Premiums
Bodily Injury $50/100,000 $31. 75
Property Damage $25,000 $120. 50
Collision $500 deductible $275. 75
Comprehensive $100 deductible $100. 00
Her total annual premium = 31.75 + 120.50 + 275.75 + 100 = $528
Discount offered to her = 4.5% of $528 = [tex]\dfrac{528}{100} \times 4.5 = 23.76[/tex] (in dollars)
The new premium that she needs to pay after discount = Old premium - discount = $528 - $23.76 = $504.24
Thus, Cindy's new annual premium including the discount would be given by: Option A: $504.24
Learn more about percent here:
https://brainly.com/question/11549320
Answer:
its a
Step-by-step explanation:
Two angels are called complementary when their measures add to 90. Two angels are called supplementary when their measures add up to 180 degrees
Answer:
Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees. These two angles are supplementary because together they form a straight line.Jun 5, 2017
Step-by-step explanation:
Luna~
Find 3 irrational numbers between 1/3 and 3/8
Answer:
4/24,,,5/24,,7/24
hope it helps u
-3.28+4.4-9.7
fdsafdsa
Convert 0.595 to a fraction in simplest form
0.595
= 595/1000
= 119/200
please help me! I will make whoever answers brainiest! please help it's for a test!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation to the value of a that makes the equation true.
1
0
3
4
2
6(2a − a + 1) = 24
4 + 3(a + 2) = 16
3a − 2a − 4 = 0
2a + 3(a + 1) = 8
Answer:
6(2a-a+1)=24 =(3)
4+3(a+2)=16 =(2)
3a-2a-4=0 =(4)
2a+3(a+1)=8 =(1)
Step-by-step explanation:
6(2a-a+1) =24
6(2a-a+1) =2412a-6a+6 =24
6(2a-a+1) =2412a-6a+6 =246a =24-6
6(2a-a+1) =2412a-6a+6 =246a =24-66a= 18
6a/6= 18/6
a = 3
4+3(a+2)=16
4+3a+6=16
3a+10=16
3a=16-10
3a=6
3a/3=6/3
a=2
3a-2a-4=0
a-4=0
a=0+4
a=4
2a+3(a+1)=8
2a+3a+3=8
5a+3=8
5a=8-3
5a=5
5a/5=5/5
a=1