Answer:
[tex]60ft[/tex]
Step-by-step explanation:
Use the formula for the perimeter of a rectangle.
[tex]P=2l+2w[/tex]
[tex]180=2l+2(30)[/tex]
[tex]180=2l+60[/tex]
[tex]180-60=2l[/tex]
[tex]120=2l[/tex]
[tex]\frac{2l}{2}=\frac{120}{2}[/tex]
[tex]l=60[/tex]
Maria average 81 on her first three History exams. the first score was 83. The second score was 4 less than the third score. What did she score on the second and third exam
Answer:
76 on second exam, 80 on third exam
Step-by-step explanation:
First, find the total of all 3 test scores by multiplying the average by the number of elements. 81 · 3 = 243.
The first score is 83 so 243 - 83 = 160. 160 is the other two test scores combined.
To find the other 2 scores, divide 160 by 2, which is 80.
The second score is 4 less so it will be 76. The third score is 80.
How many complex zeros does y = x^5 have?
Answer:
no complex zeros.
Step-by-step explanation:
The given equation is
[tex]y=x^5[/tex]
To find the zeros equate y=0.
[tex]x^5=0[/tex]
We know that, if n>0, then
[tex]x^n=0\Rightarrow x=0[/tex]
So,
[tex]x^5=0\Rightarrow x=0[/tex]
It means zero or root of the given equation is 0 with multiplicity 5.
Therefore, the given equation have no complex zeros.
What is 3lna+lnb−lnc written as a single logarithm?
Answer: here's the answer
5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
numbers and divides by three. The result on the calculator shows 17.3167. Where should Kalen round? Explain.
Answer:
Since the first number after the decimal is lower than 5, you would need to round down. So the answer would be 17(not 18).
Step-by-step explanation:
Ritz can eat 6 apples in 15 minutes. How long does it take Ritz to eat 16
apples at the same rate? *
Hey there! I'm happy to help!
We see that it takes 15 minutes to eat 6 apples. But, we want to find how long it takes to get to sixteen apples. We need to multiply this by something to get our six apples to sixteen. Let's divide 16 by 6 to find what we need to multiply by.
16/6= 2 2/3
So, if we need to multiply our number of apples by 2 2/3 to get to sixteen, we also need to multiply our minutes by 2 2/3.
15(2 2/3)= 40
Therefore, it takes Ritz 40 minutes to eat sixteen apples at this rate.
One trick to solve problems like this fast is to multiply the two different things you see (minutes and apples) and then divide by the other thing you see (apples in this case). Then, you get the minutes.
15(16)=240
240/6=40
I hope that this helps! Have a wonderful day!
Answer:
40 minutes
Step-by-step explanation:
using the converstion factor
15min 15min times16 240
16ap. times = = = 40
6 apples 6 6
Solve and work out the value of a
Step-by-step explanation:
Since these angles are supplementary (meaning they have a sum of 180 degrees) we get 3a + 2a + 4a = 180° which simplifies to 9a = 180 and then a = 20°
Answer:
a = 20
Step-by-step explanation:
The angles form a straight line, which is 180 degrees
3a + 2a + 4a = 180
Combine like terms
9a = 180
Divide by 9
9a/9 =180/9
a = 20
write an equation that defines the function :)
Answer:
see below
Step-by-step explanation:
Since the initial value is 5 and it increases by 3 every time x goes up the equation is y = 5 * 3^x.
The range of which function includes -4?
y= Vx-5
Y=Vx+5
Y= NX + 5
Y= NX+5
[tex]option \: a \: is \: the \: right \: answer \\ y = \sqrt{x} - 5 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
The range of function y=√x+5 is -4.
What is Domain and Range?A function's range refers to all of the potential values for y.
The formula for determining a function's range is y = f (x). If every x value corresponds to only one y value, the relation is only a function.
As, we know that the Domain is the input values and Range is the output values.
Now, we have range is -4.
First, -4 = √x - 5
-4 + 5 = √x
√x = 1
x = ±1
Second, -4 = √x+ 5
-4 -5 = √x
√x = -9
x = 81
Third, -4 = √(x + 5)
16 = x+ 5
x = 11
Fourth, -4 = √(x -5)
16 = x - 5
x = 21
So, the range of function y=√x+5 is -4.
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there are 18 animals in a pet store some are birds and others are dogs. there are 50 legs in total. how many dogs are there
Answer:
I believe the answer will be 36 for the dog legs.
Step-by-step explanation:
first you get a calculator
then you type in 18 divided by 50
then you hit enter
then the answer will come up as 0.36
Please answer need help
Answer:
B 2/ 1/2
Step-by-step explanation:
becuase it points into the middle of 2 and 3
and thats how got B
hope this helps
QUESTION 1 (3 points)
Solve the following equation. Show all work.
4x² - 5 = 76
Answer:
[tex]x_{1} =-\frac{9}{2} \\x_{2} = \frac{9}{2}[/tex]
Step-by-step explanation:
[tex]4x^2 = 76 + 5\\4x^2 = 81\\x^2 = \frac{81}{4}\\ x = |\frac{9}{2}|[/tex]
Answer:
X = 9/2
Step-by-step explanation:
4x² - 5 = 76
4x² = 76 + 5
4x² = 81
4x² = 9²
(2x)² = 9²
2x = 9
X = 9/2
Ben makes $39,600 a year. What is the maximum amount he can afford for a'
mortgage each month?
O
O
O
A. $890
B. $825
c. $850
D. $875
Answer: I feel that the answer might be B. $825 because I did calculate it but I lost my calculations so the answer is B but I just don't have the reason why sorry
The maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.
What is mortgage?The mortgage is a type of loan which is taken to purchase the home or lands.
In the given problem, Ben makes $39,600 a year. The rate of interset for the mortgage he has is 4. Thus, the amount he can afford for a'mortgage each year is,
[tex]M=\dfrac{39600}{4}\\M=9900[/tex]
There is total 12 months in one year. Thus, the maximum amount he can afford for a'mortgage each month is,
[tex]M=\dfrac{9900}{12}\\M=825[/tex]
Thus, the maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.
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please help!!!
All of the triangles above are _____ triangles.
a.) obtuse
b.) isosceles
c.) right
d.) acute
Sara is moving into a new apartment. The Resort complex charges a $600 security
deposit and costs $950 a month for rent. The Uptown Suites Duplex charges a $300
security deposit and costs $1100 a month for rent. After how many months would the
apartments cost the same amount? Which apartment would you recommend Sara move
to if she plans on staying for 6 months? Please show work.
Answer:
The rent is the same when 2 months have passed.
If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.
Step-by-step explanation:
Sara has two options, the resort complex and the uptown suites duplex, which can be represented by functions where "c" is the cost and "t" is the number of months Sara lives on each apartment.
The Resort complex:
[tex]c_{resort}(t) = 600 + 950*t[/tex]
The Uptown Suites Duplex:
[tex]c_{uptown}(t) = 300 + 1100*t[/tex]
To find the number of months she has to live in them in a way that they have the same cost, we need to find the value of t that makes both equations equal, this is done below:
[tex]600 + 950*t = 300 + 1100*t\\1100t - 950t = 600 - 300\\150t = 300\\t = \frac{300}{150} = 2\\[/tex]
The rent is the same when 2 months have passed.
If she intends to live in them for 6 months, the cost of each are:
[tex]c_{resort}(t) = 600 + 950*6 = 6300[/tex]
[tex]c_{uptown}(t) = 300 + 1100*6 = 6900[/tex]
If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.
Two sides of a parallelogram measure 60 centimeters and 40 centimeters. If one angle of the parallelogram measures 1320, find the
length of each diagonal.
a.about 86.4 cm and 54.2 cm
c.about 91.7 cm and 54.2 cm
b. about 91.7 cm and 44.6 cm
d. about 86.4 cm and 44.6 cm
Answer:
b. about 91.7 cm and 44.6 cm
Step-by-step explanation:
The lengths of the diagonals can be found using the Law of Cosines.
Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).
For diagonal "d" and sides "a" and "b" and corner angle D, we have ...
d² = a² +b² -2ab·cos(D)
The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...
d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)
d² ≈ {1988.2, 8411.8}
d ≈ {44.6, 91.7} . . . . centimeters
The diagonals are about 91.7 cm and 44.6 cm.
Can you Please help me
Answer:
45/12
Step-by-step explanation:
first open the brackets +(-5½)= -5½
-7⅔-5½+8¾ put liketerms together
8¾-5½-7⅔
(find the LCM of the denominator 4,2,3 that is 12)
change the improper fraction to proper fraction 35/4-11/2-23/3.
(multiply by the 12 to make the denominator same)
(35/4x12)-(11/2x12)-(23/3x12)
105-66-92 = -53/12
12
=-45/12
On evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get -4[tex]\frac{5}{12}[/tex].
What are fractions?
Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. The number on the bottom of the line is called the denominator.
Given is the following expression -
- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]
We have the following expression -
- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]
On solving, we get -
- 23/3 - 11/2 + 35/4
35/4 - 23/3 - 11/2
(105 - 92 - 66)/12
(105 - 158)/12
-53/12
-4[tex]\frac{5}{12}[/tex]
Therefore, on evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get -4[tex]\frac{5}{12}[/tex].
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A survey was held to find the time taken by students to reach school from their homes. Each student was asked to choose from 10, 20, 30, 40, or 50 minutes. What is the mode for the data set?
A. 30 min.
B. 10 min.
C. 20 min.
D. 40 min.
only thoughts answer's if u give a bad one no brainly
Answer:
there is no mode
Step-by-step explanation:
because there is no doubles
The required, mode of the given data set is not defined. None of the options are correct.
What is the mode?In statistics, the mode is the value that appears most frequently in a data set. It is the most common observation or measurement in the data set. The mode is one of the measures of central tendency, along with the mean and median.
The mode is the value that appears most frequently in a data set. Since the given data set only has values of 10, 20, 30, 40, and 50, we can simply count which value appears most frequently. From the given options, the is no mode in the data, since it appears no value in the data set appears twice in the data set.
Therefore, None of the options are correct.
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randomly selecting two grape juice boxes without replacement
Step-by-step explanation:
1/2 on the first round, then 1 on the second. When you have 2 juice boxes on the first round, there is a 50/50 (reduce to 1/2) chance that you will get one or the other. But after one is chosen, there is one left, because there is no replacement, and it is guarantied that the one will be picked. 100/100 or 1.
Answer:
I am answering to this question: There are 15 cherry, 17 grape, and 14 orange juice boxes in the cooler. Find the probability of randomly selecting two grape juice boxes without replacement.
Step-by-step explanation:
136/1035
plz mark brainliest if this is the question.
How do I find the value of x?
Answer:
Since you're asking how to find the value of x, you can use cosine, since the triangle is a right triangle.
Answer:
Only cosine include both hypotenuse and adjacent. We need both of them because those are 2 side that have numbers/letters.
So cos(28) = 11/x
Multiply by x
Then you'll get xcos(28) = 11
Do oposite cosine and you'll get
x = 11*opposite cos(28)
opposite cosine means cos^-1
thats approx. equal to 12.46 units
Find the sum of the first 31 terms of the following series, to the nearest integer.
5,14,23,..
Answer:
Step-by-step explanation:
5+14 is 19
19+23 is 4242
Simplify the expression below and explain your steps. x/2=x/8
Answer:
x2-x-8=0
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -8
Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -1 .
-8 + 1 = -7
-4 + 2 = -2
-2 + 4 = 2
-1 + 8 = 7
∠AED is a straight angle. Prove: m∠AEB = 45° A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. Angle C E D is a right angle. Complete the paragraph proof. We are given that Ray E B bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures degrees. Since the measure of a straight angle is 180°, the measure of angle must also be 90° by the . A bisector cuts the angle measure in half. m∠AEB is 45°.
Answer:
Proved
Step-by-step explanation:
Given:
∠AED is a straight angle. Angle CED is a right angle. Ray EB bisects ∠AEC.To Prove: m∠AEB = 45°
From the diagram, ∠CED is a right angle, which measures 90 degrees.
Since the measure of a straight angle is 180°, the measure of Angle AEC must also be 90° by the Linear Postulate.
A bisector cuts the angle measure in half.
Therefore m∠AEB = 45°.
Answer:
answer below.
Step-by-step explanation:
Solve |x+2|=10
A {-8,8}
B {-12,8}
C {-12,12}
in each diagram the line BD bisects angle ABC. Find the measure of angle ABC
Answer:
80°
Step-by-step explanation:
∠ABC= ∠ABD+∠CBD
as BD bisects ∠ABC, we have
∠ABD=∠CBD2x+20°= 4x2x=20°x=10°∠ABC= 2*4x= 8x= 80°
The shape has an area of 60 square inches. Find the value of x.
Answer:
12 inches
Step-by-step explanation:
A=0.5bh
A=0.5xh
60=0.5*10*x
60=5x
5x=60
x=12
please help me with this.
Step-by-step explanation:
In a regular hexagon, split the figure into triangles.
Find the area of one triangle.
Multiply this value by six.
Alternatively, the area can be found by calculating one-half of the side length times the apothem.
Hope this helps you.
What is the solution to the inequality −12>y+6
−
12
>
y
+
6
y<−18
y>−18
y<−6
y>−6
Answer:
y<-18
Step-by-step explanation:
question 2 <><><><><><><><><><><>
Answer:
I deserve brainliest just as all good boys deserves fudgeeeeee
Step-by-step explanation:
v^2 = 25/81
v= the square root of 25/81 = 5/9
since that isn't a choise, don't simplify.
D works too because negative x negative = positive
CCCCCCC
Answer:
C & D
Step-by-step explanation:
[tex]v^2=\frac{25}{81} \\v=\sqrt{\frac{25}{81}} , -\sqrt{\frac{25}{81}}[/tex]
How do I find the value of x to the nearest degree?
Answer:
I don't know if it's too advanced for you but you could use the arctangent function.
[tex]tan (x)=\frac{15}{8}\\ x=tan^{-1}(\frac{15}{8} )\\x= 61.9275[/tex]
What is the third quartile of this data set 14,18,20,21,25,32,42,46,48
Answer:
40
Step-by-step explanation:
Divide the list of numbers in half.
Since there are 9 numbers (odd number), divide like this :
14, 18, 20, 21 25 32, 42, 46, 48
Find the median of the third one.
(46 + 42)/2 = 44
So the answer is 44
Hope this helped!
please mark me brainliest :)