Answers
Answer:
1. y² = 169
taking a square root of both sides
y = √169
we know that 13 * 13 = 169
since when squaring a number, the signs on the numbers do not matter
(i.e - 2* 2 = 4 and (-2)*(-2) = 4)
So (-13) * (-13) = 169 as well
Hence we can say that √169 = ±13 OR √169 = +13 and -13
2. Volume of a cube-shaped crate = side*side*side
Volume = side³
(We are given that volume = 27)
27 = side³
side = ∛27
Since 3*3*3 = 27 and (-3)*(-3)*(-3) = 27
So, we can say that ∛27 = ± 3
BUT
the side of a crate cannot be negative, so the side will NOT be -3 and hence,
side = 3
3. b³ = 1000
we know that 10*10*10 = 1000 and (-10)*(-10)*(-10) = 1000
So, ∛1000 = ∛(10*10*10)= ±10
4. Area of a square(Patio) = Side²
Area = Side²
196 = Side² (Since we are given the area of the patio)
Side = √196 = √(14*14) or √(-14*-14)
Hence,
Side = + 14 or -14
but the side of a patio cannot be negative
Side = +14 ft
Related Questions
Simplify 0.3(x - 2y) + 0.5x - y.
Sorry I would give more points but I really dont have much.
Answers
Answer:
0.8x - 1.6y
Step-by-step explanation:
Step 1: Write expression
0.3(x - 2y) + 0.5x - y
Step 2: Distribute 0.3
0.3x - 0.6y + 0.5x - y
Step 3: Combine like terms
0.8x - 1.6y
Answer:
0.8x - 1.6y
-step explanation:
Lupus is a medical phenomenon where antibodies that are supposed to attack foreign cells to prevent infections instead see plasma proteins as foreign bodies, leading to a high risk of blood clotting. It is believed that 2% of the population suffer from this disease. The test is 98% accurate if a person actually has the disease. The test is 74% accurate if a person does not have the disease.
If an individual tests positive for lupus, what is the probability that this is a false positive? (In other words, what is the probability of an individual not having lupus, given that they received a positive test result?)
Do not give your answer as a percentage chance, but rather as a decimal probability (i.e., 0.xxx).
Answers
Answer: the answer should be lower than because this is the percentage of people who get diagnosed with a disease that is not lupus 0.465 so about 50% or 0.5 hopefully that help I don't know the answer for the amount of people who don't have it and get misdiagnosed there is no information on it based on what I've seen
Step-by-step explanation: Its based on a study from the Lupus Foundation of America
2m + 8m converted to Verbal Phrase
Answers
Answer:
is it two m plus eight m?
The number 20 is decreased to 19. What is the percentage by which the number was decreased, to the nearest tenth of a percent
Answers
Answer:
(19-20)/20 = -.05 or a decrease of 5% (-5%)
Step-by-step explanation:
(final number - initial number) / initial number * 100
I will give you branilest!
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets of information is given by b = 1500p where p represents the number of packets and b represents the number of bytes of information.
a. How many packets would be needed to transmit 30,000 bytes of information?
Answers
Answer:20 packets
Step-by-step explanation: 30,000/ 1500=20
Answer:
20 packets (answer)
Step-by-step explanation:
= 30,000/1500 = 20
=20 packets
( Glad to help:)
What ratio is equivalent to 12;6
Answers
Answer:
2:1, 4:2, 6:3, 8:4, 10:5, etc.
Step-by-step explanation:
Answer:
12 : 6 24 : 12 36 : 18 48 : 24 60 : 30
2:1 (just to name a few, Let me know if one the answer)
Step-by-step explanation:
multiply both by a number, kinda like a fraction.
Keira cut a 6 meter 9 centimeter stick into 5 equal pieces. Shayla cut a 460 centimeter stick into 4 equal pieces. How much longer is one of Shayla's wires than one of keira's?
HELP HELP HELP BASVDHGJUAWGJVJB i need it before 11:59 :(
Answers
Answer:
Keira : 609cm/5 = 121.8cm
Shayla : 460cm/4 = 115cm
6.8cm
Step-by-step explanation:
In this equation it looks like one of keira's wires is longer since when you divide the total number of centimeters (609) by 5, you get 121.8
The difference between keira and shayla's wire is 6.8cm
What is the absolute value of l -32 l?
Answers
What is
100 + 100
Please I can't solve it.
Answers
Answer:
200
Step-by-step explanation:
Answer:
100+100 is 200 because if you add 100 to another 100 you will get 200 :)
Dos numeros que al sumar den -8 y al multiplicar den -12
Answers
Answer:
english please
Step-by-step explanation:
Last week, Leonardo's hamster drank 25 mL of water. This week he drank 15 mL of water. By what percent did the hamster’s intake of water decrease?
Answers
Answer:
40%
Step-by-step explanation:
It went down by 10 ml.
40% of 25 is 10, so te answer would be 40%
Answer:
60%
Step-by-step explanation:
Part/whole method:
[tex]\frac {15} {25} = \frac {p} {100}[/tex]
15·100=1,500
1,500÷25=60
15 is 60% of 25
How do you know if the two triangles are congruent. State how
Answers
Answer:
Cases of congruence of triangles: The two triangles coincide if the length of each side in the first triangle is equal to its counterpart in the second triangle (three sides)...... The two triangles coincide if the lengths of two symmetrical sides are equal, and the two corresponding angles intertwined between these two sides are equal in each triangle. .. Two sides and a bounded angle between them.....
Solve the equation. Check your answer.
4|2x - 2|= 32
Answers
Answer:
x
=
4
or
x
=
−
4
Explanation:
First divide throughout by
2
to get
x
2
=
16
Now take the square root on both sides to get
x
=
±
4
.
You may now substitute the values of
x
=
4
and
x
=
−
4
back into the original equation and check that it satisfies the equation which it does.
Step-by-step explanation:
Answer:
x= -3 , x=5
Step-by-step explanation:
4|2x-2|=32
|2x-2|=8
2x-2=8
2x-2= -8
x=5
x=-3
I need help with all of these.
Answers
Answer:
1: m=2
2: g=7
3: y=13
4: a=-27
5: x=15
6: w=-18
Answer:
1. m = -2
2. g = 7
3. y = 13
4. a = -36
5. x = 15
6. w = -18
Step-by-step explanation:
1. Make the constant to the right-hand side and change its sign
a = 10 - 12
Calculate the difference a = -2
Solution
a = -2
2. Move variable to the left-hand side and change its sign
-g - 2 = - 9
Move constant to the right-hand side and change its sign
-g = -9 + 2
Calculate the sum
-g = -7
Change the signs on both sides of the equation
g = 7
Solution
g = 7
3. Divide both sides of the equation by - 7
-7y ÷ (-7) = -91 ÷(-7)
Any expression divided by itself equals 1
y = 91 ÷ (-7)
Divide two negatives equals a positive: (-) ÷(-)=(+)
y = 91 ÷ 7
Calculate the quotient
y = 13
Solution
y = 13
4. Multiply both sides of the equation by 9
9 x a/9 = 9 x (-4)
Reduce the number with the greatest common factor 9
a = 9 x (-4)
Multiply a positive and a negative equals a negative: (+)x(-)=(-)
a = -9 x 4
Multiply the numbers
a = -36
Solution
a = -36
5. Multiply both sides of the equation by 3/2
3/2 × 2/3x = 3/2 × 10
Reduce the numbers with the greatest common factor 3
1/2 × 2x = 3/2 × 10
Reduce the numbers with the greatest common factor 2
x = 3/2 × 10
Reduce the numbers with the greatest common factor 2
x = 3 x 5
Multiply the numbers
x = 15
Solution
x = 15
6. Multiply both sides of the equation by 9/4
9/4 x 4/9w = 9/4 x (-8)
Reduce the numbers with the greatest common factor 9
1/4 x 4w = 9/4 x (-8)
Reduce the numbers with the greatest common factor 4
w = 9/4 x (-8)
multiplying a positive and a negative equals and negative: (+)x(-)=(-)
w = -9/4 x 8
Reduce the numbers with the greatest common factor 4
w = -9 x 2
Multiply the numbers
w = -18
Solution
w = -18
Which of the following expression(s) are equivalent to 0.16? Select all that apply.
A)
16
100
B)
9
50
OD) 16%
.
Answers
Answer:a
Step-by-step explanation:
What is the sum of -95
and its additive inverse?
Answers
Answer:
0
Step-by-step explanation:
Answer: 0 is the answer
Step-by-step explanation:
Solve for the given variable:
14=63n
Answers
Answer:
n = 2/9
Step-by-step explanation:
switch sides: 63n=14
divide both sides by 63: 63n/63 = 14/63
simplify: n = 2 / 9
Please help me please!!!!!!!! I will give brainliest
Answers
Answer:
No
Step-by-step explanation:
Counterexample for the numbers 25 and 10
The actual LCM is 50
If you were to multiply both numbers together you would get 250 which is incorrect
What is the size of angle t in the image below? Give
your answer in degrees ().
t
340°
Answers
Reflex angle
Step-by-step explanation:
Reflex angle is more then 180 and less then 360
Answer:
yes buddy ans is reflex angle
Help Me Please. ? And Thank You
Answers
Answer:
20
Step-by-step explanation:
how, because 3 is 12, 4 is 16 because multiply by 4
Determine if the ratio or rates are equivalent: 120 calories in 2 servings; 360 calories in 6 servings OMG PLS HELP ASAP I NEED HELP YOU GET 25 PIONTS
Answers
Answer:
No, they are not equivalent
Step-by-step explanation:
Because
120/2 Can not be divided equally into 360/6
Answer:
Yes
Step-by-step explanation:
They are equivalent because if you write the ratio's out, you get 120:2 and 360:6. If you then simplify both, you get 60:1. To simplify these, you need to find a common factor. In 120:2, you can tell that both numbers can be divided by two because they are both even. After dividing, you get 60:1. In 360:6, you can tell that both numbers can be divided by 6 since they both are multiples of 6. After dividing, you get 60:1. Because these to ratio's are equal, they are equivalent.
Can you help me please
Answers
Answer:
Using trigonometry:
Let's take Tan of 60 degrees:
Tan 60 degrees = Opposite / adjacent
We can see that the opposite side is 3√3 and the adjacent side is x
Tan 60 degrees = 3√3 / x
From the trigonometric table, we know that Tan 60 degrees is √3
√3 = 3√3 / x
x = 3√3 / √3
x = 3
Now, we will take Sin of 60 degrees
Sin 60 degrees = Opposite / Hypotenuse
We can see that the opposite side is 3√3 and the hypotenuse is y
Sin 60 degrees = 3√3 / y
From the trigonometric table, we know that Sin 60 degrees is √3 / 2
√3/2 = 3√3 / y
y = 3√3 / (√3/2)
y = 3√3 * 2/√3
y = 6
Therefore, y = 6 and x = 3
Joey would like to apply for a loan but knows that his high debt-to-income (DTI) ratio will probably get in his way
He would like to lower his DTI ratio by lowering the amount of his gross monthly income that goes to living
expenses.
Joey's current monthly expenses include a rent payment of $1,100, a $178 car payment, and a combined minimum
payment of $220 for his credit card debt. His current gross monthly income is $3,600. If Joey moves to a new
apartment, what is the maximum monthly rent payment he can make and still maintain a DTI ratio of 36%?
a $702
b. $898
$922
d. $960
more
C
Answers
Answer:
$898
Step-by-step explanation:
Based on Joey's debt-to-income ratio, the maximum monthly rent payment he can make and still maintain the DTI ratio is b. $898.
Monthly debt maximum paymentJoey has a DTI ratio of 36% which means that his maximum debt payment should be 36% of his income. This amount would be:
= DTI x monthly income
= 36% x 3,600
= $1,296
Maximum monthly rentThis can be found as:
= Maximum monthly debt payment - Car payment - Credit card payment
= 1,296 - 178 - 220
= $898
In conclusion, option B is correct.
Find out more on DTI ratios at https://brainly.com/question/24814852.
Write in slope intercept form:
(-5,-11) and (-2,1)
Answers
Answer:
y = 4x + 9
Step-by-step explanation:
First, find the slope of the line, which is the change in y/the change in x:
(-11-1)/(-5-(-2)) = -12/-3 = 4
That leaves you with the equation:
y = 4x
But notice, when x = -2 in the equation, y = -8, but we want it to be 1, so we add 9 to the end of the equation:
y = 4x + 9
I hope this helped.
Answer:
Step-by-step explanation: -15/9 my teacher told me
The neutral point of your glider depends on what?
Answers
Answer:
The size of the wing and the size of the horizontal stabilizer
Step-by-step explanation:
Whitney wants to buy a sweater for $36. If the sales tax rate is 8.25%, what will be
the amount of sales tax on Whitney’s purchase?
A $2.89
B $2.97
C $3.06
D $3.13
Answers
Answer:
B
Step-by-step explanation:
Lines k and l are parallel. When lines k and l are cut by the transversals below, an isosceles triangle is formed. Lines k and l are parallel. Lines s and t intersect lines k and l to form a triangle. At the intersection of lines s, t, and k, clockwise from top left, the angles are blank, blank, blank, 70 degrees, 1, blank. At the intersection of lines s and l, the angles are blank, x degrees, blank, blank. At the intersection of lines l and t, the angles are x degrees, blank, blank, blank. What is Measure of angle 1? 35 degrees 40 degrees 55 degrees 70 degrees
Answers
Answer:
its 48
Step-by-step explanation:
Answer:
it's 40
Step-by-step explenation
dont need one the people have brains
Every rope has a safe working load. A rope should not be used to lift a weight greater than its safe working load. The table shows the safe working loads S (in pounds) for ropes with circumference C (in inches). Write an equation for the safe working load for a rope. Find the safe working load for a rope that has a circumference of 10 inches.
Answers
9514 1404 393
Answer:
S = 180C²18,000 lbsStep-by-step explanation:
Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...
180, 540, 900
These are not constant, so the relation is not linear.
Second differences are ...
360, 360
These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...
S = 180·C²
__
The safe load for C=10 is then ...
S = 180·10² = 18,000 . . . pounds
A machine made 4 1/2 pencils in 3 1/3 minutes. How many pencils did the machine make in one minute?
Answers
Given parameters:
Number of pencils = [tex]4\frac{1}{2}[/tex] pencils
Time taken = [tex]3\frac{1}{3}[/tex] minutes
Unknown:
Number of pencils produced in 1 minute;
Solution:
To solve this problem, let us first find the rate of the machine;
Rate of machine = [tex]\frac{number of pencils }{time taken}[/tex]
Rate of machine = [tex]\frac{\frac{9}{2} }{\frac{10}{3} }[/tex] = [tex]\frac{9}{2} x \frac{3}{10}[/tex] = [tex]\frac{27}{20}[/tex] pencils/minute
Now, number of pencils produces in 1 minute;
Number of pencils = rate of machine x time taken
Number of pencils = [tex]\frac{27}{20}[/tex] pencils/ min x 1 min
Number of pencils = [tex]\frac{27}{20}[/tex]pencils
The number of pencils produced in 1 minute is [tex]\frac{27}{20}[/tex]
Bill has $12,400 in a regular savings account earning 43% annual interest
that is compounded monthly. How much will be in the account at the end of 3
years?
Round to the nearest cent, and do not include the dollar sign in your answer.
Answers
Answer:
44041.03
Step-by-step explanation:
A = P(1 + r/n)^nt
= 12400(1 + .43/12)^12(3)
= 12400(1.03583333)³⁶
= 12400(3.55169589)
= 44041.029
