Answer:
Distributive property
Step-by-step explanation:
3*$0.40 + 5*$0.40 = (3+5)*$0.40
Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + acAccording to distributive property multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.answer is distributive property
Step-by-step explanation:
hope this answer helps :)
What is standard form for 400,000+60,000+5,000+100
Answer:
[tex]\boxed{\bold 4.651 \times {10}^{5}}}[/tex]
Step-by-step explanation:
[tex]400000 + 60000 + 5000 + 100 \\ = 465100[/tex]
Now write it in standard form.
[tex]465100 \\ = 4.651 \times {10}^{5} [/tex]
hope this helps you.
will give the brainliest!
follow~Hi1315~
the product of a number and 8
Answer:
[tex]8n[/tex]
Step-by-step explanation:
The answer would be [tex]8n[/tex] because [tex]8*n[/tex] = [tex]8n[/tex]
Rosa's golf score was -3. The next game, her score went down by 2. What was her new
score?
Answer:
-5
Step-by-step explanation:
-3 - 2 = -5
70- -72 can someone give me the answer to this please.
Answer:
142
Step-by-step explanation:
Step-by-step explanation:
70 - -72
= 70+ 72
= 142
I think this should be the answer
A parent died and left in the state to four children one inherited 1/9 of the estate the second inherited 5/81 of the estate and the third inherited 17/27 of the estate how much did the fourth inherit?
Answer:
I think it's (16/81)
Step-by-step explanation:
2. Solve the equation below and find the variation constant, k. Find y when x= 18, if y varies directly as x, and y=37 when x=5
*Round your answer to the nearest thousandth, if necessary.
Answer:
k = 7.4y = 133.2Step-by-step explanation:
To find the value of y when x= 18 we must first find the relationship between them
The statement
y varies directly as x is written as
[tex]y \: \: \alpha \: \: kx[/tex]
where k is the constant of proportionality
when y = 37
x = 5
Substitute the values into the above formula and solve for k
That's
37 = 5k
Divide both sides by 5
k = 7.4So the formula for the variation is
y = 7.4xWhen x = 18
y = 7.4(18)
We have the answer as
y = 133.2Hope this helps you
What is 3.59×6.2
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
An investigator predicts that dog owners in the country spend more time walking their dogs than do dog owners in the city. The investigator gets a sample of 21 country owners and 23 city owners. The mean number of hours per week that city owners spend walking their dogs is 10.0. The standard deviation of hours spent walking the dog by city owners is 3.0. The mean number of hours country owners spent walking theirs dogs per week was 15.0. The standard deviation of the number of hours spent walking the dog by owners in the country was 4.0. Do dog owners in the country spend more time walking their dogs than do dog owners in the city?
Answer:
Yes dog owners in the country spend more time walking their dogs than do dog owners in the city
Step-by-step explanation:
From the question we are told that
The sample size from country is [tex]n_1 = 21[/tex]
The sample size from city is [tex]n_2 = 23[/tex]
The sample mean for country is [tex]\= x_1 = 15 [/tex]
The Sample mean for city is [tex]\= x_2 = 10[/tex]
The standard deviation for country is [tex]\sigma _1 = 4[/tex]
The standard deviation for city is [tex]\sigma _2 = 3[/tex]
Let the level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 > \mu_2[/tex]
The pooled standard deviation is mathematically represented as
[tex]s = \sqrt{ \frac{s_1 ^2 * (n_1 - 1 ) + s_2 ^2 * (n_2 - 1 )}{ df} }[/tex]
Here df is the degree of freedom which is mathematically represented as
[tex]df = n_1 + n_2 - 2[/tex]
[tex]df = 21 + 23 -2 [/tex]
[tex]df = 42[/tex]
So
[tex]s = \sqrt{ \frac{4 ^2 * (15.0 - 1 ) + 3 ^2 * (10 - 1 )}{ 42} }[/tex]
[tex]s = 3.5[/tex]
Generally the test statistics is mathematically represented
[tex]t = \frac{\= x_1 - \= x_2 }{ s * \sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex]
[tex]t = \frac{ 15 -10 }{ 3.5 * \sqrt{\frac{1}{ 21 } + \frac{1}{23} } }[/tex]
[tex]t = 4.733[/tex]
Generally the p-value is obtained from the student t-distribution table table , the value is
[tex]P(T > 4.733)= t_{4.733, 42 } = 0.000013 [/tex]
From the calculation we see that
[tex]p-value < \alpha[/tex]
So we reject the null hypothesis
Hence we can conclude that there is sufficient evidence to support the claim that dog owners in the country spend more time walking their dogs than do dog owners in the city
Please help!!!! 40 POINTS 1. By the square root property, if k is a real number and x^2=k, then what is x equal to? (See picture) 4. Solve x^2=64. What property did you use? (See picture)
Answer:
x = ± sqrt(k)
x = ± 8 by the square root property
Step-by-step explanation:
x^2 = k
K is a real number
Take the square root of each side
sqrt(x^2) = ± sqrt(k)
x = ± sqrt(k)
Letting k = 64
x = ± sqrt(64)
x = ± 8 by the square root property
Answer:
x = ± √k
x = ± √8 by the square root property
Step-by-step explanation:
x² = k
where k is a real number
square root of each side
√x² = ± √k
x = ± √k
let k = 64
x = ± √64
therefore
x = ± 8 by the square root property
Kaliska is jumping rope. The vertical height of the center of her rope off the ground R(t) (in cm) as a function of time t (in seconds) can be modeled by a sinusoidal expression of the form a cos(b. t) + d. , At t = 0, when she starts jumping, her rope is 0 cm off the ground, which is the minimum. After [tex]\frac{\pi }{12}[/tex] seconds it reaches a height of 60 cm from the ground, which is half of its maximum height. Find R(t). t should be in radians.
Answer:
R (t) = 60 - 60 cos (6t)
Step-by-step explanation:
Given that:
R(t) = acos (bt) + d
at t= 0
R(0) = 0
0 = acos (0) + d
a + d = 0 ----- (1)
After [tex]\dfrac{\pi}{12}[/tex] seconds it reaches a height of 60 cm from the ground.
i.e
[tex]R ( \dfrac{\pi}{12}) = 60[/tex]
[tex]60 = acos (\dfrac{b \pi}{12}) +d --- (2)[/tex]
Recall from the question that:
At t = 0, R(0) = 0 which is the minimum
as such it is only when a is negative can acos (bt ) + d can get to minimum at t= 0
Similarly; 60 × 2 = maximum
R'(t) = -ab sin (bt) =0
bt = k π
here;
k is the integer
making t the subject of the formula, we have:
[tex]t = \dfrac{k \pi}{b}[/tex]
replacing the derived equation of k into R(t) = acos (bt) + d
[tex]R (\dfrac{k \pi}{b}) = d+a cos (k \pi)[/tex] [tex]= \left \{ {{a+d \ for \ k \ odd} \atop {-a+d \ for k \ even}} \right.[/tex]
Since we known a < 0 (negative)
then d-a will be maximum
d-a = 60 × 2
d-a = 120 ----- (3)
Relating to equation (1) and (3)
a = -60 and d = 60
∴ R(t) = 60 - 60 cos (bt)
Similarly;
For [tex]R ( \dfrac{\pi}{12})[/tex]
[tex]R ( \dfrac{\pi}{12}) = 60 -60 \ cos (\dfrac{\pi b}{12}) =60[/tex]
where ;
[tex]cos (\dfrac{\pi b}{12}) =0[/tex]
Then b = 6
∴
R (t) = 60 - 60 cos (6t)
Will give brainliest if you complete all of them
Answer:
14 is 4
15 is check your self
in Google
When do lunar eclipses occur?
Step-by-step explanation:
Lunar eclipses can only happen when the Moon is opposite the Sun in the sky, a monthly occurrence we know as a full Moon.
— 6— (—12) help me plz
Answer:
Hey there!
-6-(-12)
-6+12
6
Hope this helps :)
Answer:
[tex]6[/tex]
Step-by-step explanation:
[tex]-6-(-12)[/tex]
[tex]-6+12[/tex]
Since 12 - 6 is equal to 6, -6 + 12 would be 6.
[tex]=6[/tex]
Now you have your answer!
Hope this helps!
The gasoline consumption of a small car is advertised as 16.3 km/L (1L=1liter). How many miles per gallon is this? One mile is 1.609 km and one gallon is 3.788 L.
Answer:
38.38 miles per gallon
Step-by-step explanation:
16.3 km/L to miles per gallon
1 mile = 1.609 km
16.3 km = 16.3/1.609 = 10.13 miles
1 gallon = 3.788 L
1 L = 1/3.788 = 0.2639 gallon
therefore,
16.3 km/L = 10.13/0.2639 = 38.38 miles per gallon
Simplify: 5x+2(3−2x)+7
Answer:
x + 13
Step-by-step explanation:
5x + 2(3 - 2x) +7
Distribute the 2 into (3 - 2x)
5x + 6 - 4x + 7
Combine like terms
x + 13
PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. The given expression 5x+2(3−2x)+7 when simplified will be equal to x+13.
What is PEMDAS?PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.
The given expression 5x+2(3−2x)+7 can be simplified as shown below.
5x + 2(3−2x) + 7
Open the parenthesis,
= 5x + 6 − 4x + 7
Bring the like terms together,
= 5x − 4x + 7 + 6
Add the like terms,
= x + 13
Hence, The given expression 5x+2(3−2x)+7 when simplified will be equal to x+13.
Learn more about PEMDAS here:
https://brainly.com/question/36185
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(Please help fast!) ..........
Answer:
the sum would be located 2 notches to the right from 0.
Step-by-step explanation:
since the notches are already split up into 5, you just count 2 notches to the left (since its negative) and then count 4 notches to the right and then you land on your sum :) btw I like your profile picture
Find the volume of the solid in the first octant bounded by the cylinders r = 2 r = 5 z = 8-x-y g
Answer:
[tex]42\pi -78[/tex]
Step-by-step explanation:
Attached below is the detailed solution of the volume of the solid in the first octant bounded by the cylinders r = 2 r = 5 z = 8-x-y
The volume of the solid in the first octant bounded by the cylinders r = 2 r = 5, z = 8-x-y : [tex]42\pi -78[/tex]
11p-4=6p+1 explain steps please ASAP!!!
What are the coordinates for the origin of the coordinate plane? (0.1) (1,0) (1,1) 0 (0.0)
Step-by-step explanation:
Remember: the origin is at the very center of the graph: (0,0). Not (0,1), (1,0), or 0. The first two options are not at the center. (0,1) takes us one unit above the middle, and (1,0) takes us one unite to the right of the origin. The number 0 is not used to find a point. So, our final answer is: (0,0).
expansion of (−1−2√3)^2
(- 1 - 2√3)²
applicating (a - b)² = a² + b² - 2ab
a = - 1
b = 2√3
so:
(- 1 - 2√3)² =
(- 1)² + (2√3)² - 2(- 1)(2√3) =
1 + (2² * √3²) + 2(2√3) =
1 + (4 * 3) + 4√3
ps. √x² = x1 + 12 + 4√3 = 13 + 4√3
Estimate the value of √2π/√5
Answer: 1.12099824328 or estimated is 1
I need help finding the domain and range, I already know is not a function
Answer:
Domain: [-4, 4]
Range: [-3, 5]
Function? No
Step-by-step explanation:
Domain is all x-values that can be inputted in the graph that returns an output.
Range is all y-values that are outputted when x is inputted.
A function has to pass the Vertical Line Test.
What is the measure of angle AOB?
Answer:
let angle AOB and angle COD be x
the it would be
x+x+110=180
2x+110=180
2x=180-110
2x=70
x=70/2
x=35 degree.
hope it will help you.
If each chip has a length of 35 nanometers (nm), how many would you need to circle the Earth. Which has a radius of 6,371 km? (Show all your workings. Final answer MUST be in scientific notation.)
Answer:
1144.18 e-12 chips
Step-by-step explanation:
Conversation rate of nanometers
1 nanometers =1* 10^-12 km
35 nanometers= 35 *10^-12
Radius of earth= 6371 km
Circumference of earth = 2πr
Circumference= 2*22/7*6371
Circumference=40046.29 km
The number of chips to be used to circle the earth
= 40046.29/35 *10^-12
=1144.18 *10^-12
= 1144.18 e-12 chips
A bag has 13 red candies 7 pink candy 12 orange candies what is the possibility that you will choose an orange candy at random
Answer:
12/32, 3/8, or 37.5%
Step-by-step explanation:
Add the candies in the bag together
13+7+12=32
12 out of the thirty-two are orange
12/32
After dividing by 4 to simplify, you get
3/8
3÷8 will give us the decimal which we can then turn into a percentage
37.5%
12/32, 3/8, or 37.5%
Hope this helps :-)
Evaluate the expression when b=30 and c=6.
b+c2
b-4c
Simplify your answer as much as possible.
Step-by-step explanation:
Hey there!!
During evaluating the expression, you must follow,
put the value as given.work according to the mathematical operation sign.Here,
[tex]i). \: b + {c}^{2} [/tex]
[tex] = 30 + {6}^{2} [/tex]
= 30+36
= 66.
ii). b-4c
= 30 - 4×6
= 30 - 24
= 6
Hope it helps...
If $4x=3y$, what is the value of $\frac{2x+y}{3x-2y}$?
Answer:
10
Step-by-step explanation:
Solving $4x=3y$ for $x$ gives $x = \frac{3}{4}y$. Substituting this into the desired expression gives\begin{align*}\frac{2x+y}{3x-2y} &= \frac{2\left(\frac34\right)y + y}{3\left(\frac34y\right) - 2y}\\
&=
\frac{\frac32y + y}{\frac94y - 2y} = \frac{\frac52y}{\frac{y}{4}} \\
&=\frac{5}{2}\cdot 4 = \boxed{10}.\end{align*}
Answer:
10
Step-by-step explanation:
Substitution and simplification
A rectangular piece of metal is 20 in longer than it is wide Squares with sides 4 in long are cut from the four comers and the flaps are folded upward to form an open
box. If the volume of the box is 1354 in what were the original dimensions of the piece of metal?
What is the original width? in
Answer:
14 [tex]\frac{5}{48}[/tex]
Step-by-step explanation:
rectangular volume = length * height * width
1354 = (20+4) * 4 * width
1354 = 24 * 4 *w
1354 = 96w
14.1 = w
you roll a pair of six-sided dice (each can be a 1,2,3,4,5, or 6). What is the probability that the sum of your dice is greater than 10
Answer:
1/12Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected number of outcome/Total outcome
Since a pair of die with six faces is rolled, the total number of outcome will be 6^2 = 36
Expected outcome is the sum of dice greater than 10. The only time we can get a sum of the dice grater than 10 is when the following are rolled; (5,6), (6, 5) and (6, 6). The sum of the numbers will give us 11 ans 12 respectively which are values greater than 10.
The expected outcomes = 3 outcomes
The probability that the sum of my dice is greater than 10 = 3/36
Hence the probability that the sum of my dice is greater than 10 is 1/12
can someone please help me with this :) i only have one more try to get it right and if not i get 0/10
Answer: [tex]\sqrt[5]{27}[/tex], fifthroot(27) [according to your picture, I think there will be no space between fifth and root]
Step-by-step explanation:
concept to know: any exponent that is performed in fraction, the numerator will be the real exponent for the base, while the denominator will be the root
-------------------------------------
[tex]27^{\frac{1}{5}[/tex]
This has 1 as the numerator and 5 as the denominator.
1 can be ignored because any number to the 1 power is equal to itself.
5 is the root for 27
[tex]\sqrt[5]{27}[/tex]
Hope this helps!! :)
Please let me know if you have any question