The expansion of 58 is given by 58=5×10+8×1
What is place value expansion?The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number.
Given here the number 58 =5×10+8×1
and its prime factorization is 58=2×29
Hence, The expansion of 58 is given by 58=5×10+8×1
Learn more about place values here:
https://brainly.com/question/20563248
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A clothing store uses comment cards to get feedback from its customers about newly added items. It recently introduced plus size fashion wear. Customers who purchased the items were asked to fill out an online comment survey giving 10% off the next purchase. The data are summarized in the table below. Which of the following would be an appropriate method for displaying the data shown in the table?
Response Frequency
Very satisfied 15
Satisfied 30
Less than fully satisfied 12
Not satisfied 4
a. 50%
b. 15%
c. 10%
d. 77%
e. 40%
Answer:
The percentage of customer would less likely to purchase next item is 26.2%
So, The nearest option will be (e).
Step-by-step explanation:
Given that,
The table of information is
Response = Very satisfied, Satisfied, less than fully satisfied and not satisfied
Frequency = 15, 30, 12 and 4
We need to calculate the total frequency
Using given frequency
[tex]Total\ frequency = 15+30+12+4[/tex]
[tex]Tota\ frequency = 61[/tex]
We need to calculate the total number of customers less or not fully satisfied
Using given data
[tex]x = 12+4[/tex]
[tex]x=16[/tex]
Where, x = total number
We need to calculate the percentage of customer would less likely to purchase next item
Using formula for percentage
[tex]percentage\ of\ customer=\dfrac{total\ number\ of\ customer}{total\ frequency}\times100[/tex]
Put the value into the formula
[tex]percentage\ of\ customer=\dfrac{16}{61}\times100[/tex]
[tex]percentage\ of\ customer=26.2\%[/tex]
Hence, The percentage of customer would less likely to purchase next item is 26.2%
So, The nearest option will be (e).
Find the quotient of -4 and -9.
-36
36
-9/4
9/4
Answer:
9/4
Step-by-step explanation:
Assuming you meant -9 and -4, it would be 9/4. The order you list the numbers matter. Quotient is the answer for a division equation, so you have to divide. If there is an even amount of negative numbers, the answer will be positive, if there is an odd amount the answer will be negative. Here we have an even amount, so the answer is positive.
Answer:
4/9 so D
Step-by-step explanation:
i have this question and -4 divided by -9 is 0.44444444 which that equals 4/9
have a nice day! i hope that helped
At the beach, a child uses a container in the shape of a cylinder to build a castle. The child completely fills the container with sand. The container has a height of 10 inches and a diameter of 12 inches there are 231 cubic inches in one gallon of sand. What is the approximate volume of san, in gallons in the container? Round your answer to the nearest gallon.
Answer:
5 gallons
Step-by-step explanation:
The container volume can be found from the formula for the volume of a cylinder:
V = πr^2h
V = π(6 in)^2(10 in) = 360π in^3 ≈ 1130.97 in^3
Then the number of gallons is ...
(1130.97 in^3)/(231 in^3/gal) = 4.896 gal
The approximate volume of sand is 5 gallons.
Simplify the expression:
7 + 3z + 3z
Answer:
7 + 6z
Step-by-step explanation:
3z + 3z = 6z, and that isolates the variable (z).
211.1336 rounded to nearest tenth
Answer:
211.1
Step-by-step explanation:
3 isn't greater than or equal to 5 so it will not round up to 2 so your answer will be 211.1
Answer:
211.1
Step-by-step explanation:
Rounded to the nearest 10th
.
-x^4+25x^2 factor completely.
Answer:
-x^2(x + 5)(x - 5)
Step-by-step explanation:
x^2 is common to both terms of -x^4+25x^2:
x^2(-x^2 + 25)
and the binomial factor can be factored further:
x^2(x + 5)(-x + 5) or
-x^2(x + 5)(x - 5)
The previous exercises states that the distribution of speeds of cars traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. The speed limit on this stretch of the I-5 is 70 miles/hour. 5. A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding? Assume that the speeds of the cars are independent of each other.
Answer:
The probability is [tex]P(X \le 70 ) = 0.7054 [/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 72.6 \ miles /hour [/tex]
The standard deviation is [tex]\sigma = 4.78 \ miles /hour[/tex]
The speed limit is [tex]x = 70 \ miles /hour[/tex]
Generally the probability that 5 cars pass and none are speeding is equivalent to the probability that the speed of the cars is less than x which is mathematically represented as
[tex]P(X \le x ) = 1 - P(X > x )[/tex]
Now
[tex]P(X > x) = P(\frac{X - \mu}{\sigma } >\frac{x - \mu}{\sigma } )[/tex]
Generally
[tex] \frac{X - \mu}{\sigma } = Z (The \ standardized \ value \ of \ X)[/tex]
So
[tex]P(X > 70) = P(Z >\frac{70 - 72.6}{72.6 } )[/tex]
[tex]P(X > 70) = P(Z > -0.54 )[/tex]
From the z-table
[tex] P(Z > -0.54 ) = 0.2946[/tex]
=> [tex]P(X > 70) = 0.2946 [/tex]
So
[tex]P(X \le 70 ) = 1 - P(X > 70 ) [/tex]
=> [tex]P(X \le 70 ) = 1 - 0.2946 [/tex]
=> [tex]P(X \le 70 ) = 0.7054 [/tex]
Which of the following functions is graphed below?
A. y = [x] - 6
B. y = [x] + 6
C. y = [x] - 4
D. y = [x] + 4
Hope the formatting is okay
20 points
Answer:
A-
Step-by-step explanation:
APEX
Answer:
negative six
Step-by-step explanation:
The answer is a
Can someone please help me with this as soon as possible
LP = HE
5x + 6 = 31
Subtract 6 from both sides
5x = 25
Divide both sides by 5
X = 5
Answer:
5x+6=31(opposite sides are equal)
5x=31-6
5x=25
x=25/5
x=5
hope it helps u
Eva deposited these checks into her account $284.39, $15.44, $386.12. She received no cash back. What was her deposit total?
Consider the linear function that is represented by the equation y = negative 10 x + 6 and the linear function that is represented by the equation y minus 36 = 8 (x minus 4). Which statement is correct regarding their slopes and y-intercepts?
Answer: The function that is represented by the equation y = negative 10 x + 6 has a steeper slope and a greater y-intercept.
Step-by-step explanation: I took the unit test on edge hoped this helped <3
We want to compare the slopes and y-intercepts of two given linear functions.
The comparations that we can make are:
The first line has a larger y-intercept.The second line has a larger slope.The general linear function in the slope-intercept is:
y = a*x + b
where a is the slope and b is the y-intercept.
Here, the two given lines are:
y = -10*x + 6
(here we can see that the slope is -10 and the y-intercept is 6).
The other line is:
y - 36 = 8*(x - 4)
Writing this in the slope-intercept form we get:
y = 8*x - 8*4 + 36
y = 8*x - 32 + 36
y = 8*x + 4
Then the slope is 8 and the y-intercept is 4.
Then the comparations that we can make are:
The first line has a larger y-intercept.The second line has a larger slope.If you want to learn more, you can read:
https://brainly.com/question/21835898
What do you guys think
Answer:
I think the last option D)
Answer:
you're answer would be D
if you place a 5ft ladder against the top of a 4ft building how many feet will the bottom of the ladder be from the bottom of the building?
Answer:
3 ft.
Step-by-step explanation:
When you imagine the sentence, it is a right angled triangle. In this case, it's a Pythagoras Theorem. The formula for it is:
a²(opposite) + b²(adjacent) = c²(hypotenuse)
The building is the opposite, the distance between the foot of the ladder and the building is the adjacent, while the ladder is the hypotenuse.
We have the measurements except for the adjacent. So it will be:
c² - a² = b²
5² - 4² = b²
25 - 16 = b²
9 = b²
√9 = b
b = 3 ft
The answer is 3 ft.
What exponent would complete this equation 0.005 = 5 x 10?
To the ? Power
Answer:
-3
Step-by-step explanation:
0.005 = 5 * [tex]10^?[/tex]
0.005 = 5 * 0.001
Thus, to find what 10 should be raised to, we should find which exponent of 10 gives us 0.001
We can do this by just testing a few numbers from 10^1 and down:
[tex]10^1 = 10\\10^0 = 1\\10^{-1} = 0.1\\10^{-2} = 0.01\\10^{-3} = 0.001[/tex]
As we can see, [tex]10^{-3}[/tex] = 0.001, thus the exponent in our equation is -3
A shorthand of this is counting the number of zeroes, 10^-1 has one zero, 10^-2 has two zeroes, and 10^-3 has three zeroes.
Since we were looking for 0.001, which has 3 zeroes, we can see that the correct exponent should be -3.
If a ball is kicked with a speed of 2.5 m/s, how long does it take the ball to move 40 meters? (no units required for your answer)
Answer:
16
Step-by-step explanation:
40 divided by 2.5 equals 16
5.6 times the sum of 4 and a number p
Answer:
5.6( 4 + p)
Step-by-step explanation:
written form if you actually need to find out what p is them 5.6(4) + 5.6p
22.4 + 5.6p
p = 4
anyone know the answer to number 4?
answer my questions plz
If f(x) = 1/x + 2/x,
then f
(1) =
Answer:
f(1)=3
Step-by-step explanation:
Given that f(x)=1/x+2/x
and substitute x=1
f(1)=1/1+2/1
=3
Hope it helps....
Answer:
f(1) = 3
Step-by-step explanation:
replace the x's in f(x) with 1's, so
f(1) = 1/(1) +2/(1)
simplify the fractions, since 1 is on the bottom it's easy
f(1) = 1 + 2
add
f(1) = 3
Does anyone get this ???
Answer:
no. sorry. :(
Step-by-step explanation:
A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a 2.
Explanation: There is 1 side that has what we want (rolling a 2) out of 6 sides total.
The volume of a cube is 216 cubic inches. What is the length of each side of the cube?
Answer:
6 inch
Step-by-step explanation:
If you remember the concept of how to find volume of cube then its pretty easy.
You find it by multiplying the length of one side by itself 3 times.
In this case we have to do opposite so we have to just find the cube root of 216 which is 6.
Pls make me brainliest if you find it helpful.
Answer:
The answer is 6 i know this because it said it was right on IXL but it may not be true
Step-by-step explanation:
How do I do thisbfhdjdjdjdjdnndd
Answer: 95 minutes
Step-by-step explanation: 205-110=95
Answer:
205-110=90
Step-by-step explanation:
I helped my brothers on this question
The temperature of the atmosphere that an airplane is flying in can be found using the function T(h) -
20h + 10. The height of the same airplane at a given time can be found using the function (1) = 2t - 1.
What is the temperature of the atmosphere as a function of time? Drag and drop the values below to
complete the function.
T(h(t))=
h
t-
1 2 4 5 10 20 40
PLEASE HELP MEEEEEEE
Suppose there are 106 (1 million) asteroids that are 0.87 km in radius. If they were all combined into a single sphere, calculate the radius of this sphere in km.
Answer:
87km
Step-by-step explanation:
Volume is proportional to radius cubed, so radius is proportional to the cube root of volume.
Increase volume by a factor of 10^6 and radius increases by a factor of the cube root of 10^6, which is 10^(6/3) = 10^2 = 100.
100 * 0.87 km = 87 km
Can you please help me to solve this mathematical question:
(+1) - (-9) = ?
Answer:
-8
this is the all answer but no steps
32.6 > 32.06
Is this true?
Answer:
yes
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
32.06 you cant add zeros but 32.6 you can add as many zeros as you want to my the eqation so knowing that the new eqation would be:
32.60>32.06 which is obvossly true.
Question 6 (1 point) (01.03 LC) What is the value of 5 to the power of 4 over 5 to the power of 6? (1 point) a 1 over 25 b 1 over 5 c 5 d 25
Answer:
a 1 over 25
Step-by-step explanation:
Problem Statement:
What is the value of [tex]\frac{5^{4} }{5 ^{6} }[/tex] ?
To solve this problem, we must familiarize ourselves with the concept of exponents and rules that guides them.
Exponents are used by scientists to report higher orders of a number.
Such large and often recurring expression is usually made up of a base and an exponent value.
The exponent value is the power of the base; for example, 4³ has 4 as its base and 3 as the exponent.
Several rules guides solving an exponent, to this problem, the most applicable one is :
[tex]\frac{x^{a} }{x^{b} }[/tex] = [tex]x^{(a-b)}[/tex]
[tex]\frac{5^{4} }{5 ^{6} }[/tex] = [tex]5^{4-6}[/tex]
= [tex]5^{-2}[/tex]
= [tex]\frac{1}{25}[/tex]
Therefore the solution is 1 over 25
Answer:
a 1 over 25
Step-by-step explanation:
MATH/MECHANICS (please helpp!!!)
A particle P starts from a fixed point O at time t =0, where t is in seconds and moves with constant acceleration in a straight line. The initial velocity of P is 1.5ms−1 and its velocity when t =10 is3.5ms−1.
(i)Find the displacement of P from O when t =10. [2]
Another particle Q also starts from O when t =0 and moves along the same straight line as P. The acceleration of Q at time t is 0.03t ms−2.
(ii)Given that Q has the same velocity as P when t = 10, show that it also has the same displacement from O as P when t =10.
Answer:
OP = 25 mOQ = 25 mStep-by-step explanation:
(i) Since acceleration is constant, velocity is a linear function of time. The average velocity over the interval will serve for the purpose of computing the displacement.
d = (v1+v2)/2×t = (1.5 m/s +3.5 m/s)/2·(10 s) = 25 m
P is displaced 25 meters from O when t=10.
__
(ii) Letting the initial velocity be represented by v1, we find the velocity as a function of time to be ...
[tex]\displaystyle v(t)=v_1+\int_0^{t}{a(t)}\,dt=v_1+\int_0^{t}0.03t\,dt=v_1+\dfrac{0.03t^2}{2}\\\\v(10)=v_1+0.015\cdot 10^2 = v_1+1.5\\\\3.5=v_1+1.5\ \rightarrow\ v_1=2.0\quad\text{m/s}\\\\v(t)=2.0+0.015t^2[/tex]
Then the displacement is the integral of velocity ...
[tex]\displaystyle d=\int_0^{10}{v(t)}\,dt=\int_0^{10}{(2.0+0.015t^2)}\,dt\\\\d=2.0(10)+0.015\left(\dfrac{10^3}{3}\right)=20+5=25[/tex]
Q is also displaced 25 meters from O when t=10.
A loaf of bread that originally sold for $1.87 undergoes a 5% price increase each year. Find the new cost of a loaf of bread after 12 years.
Answer:
$2.99
Step-by-step explanation:
find 5% of $1.87 by multiplying 1.87 by 0.05. to get 0.0935. then multiply 0.0935 by 12 to get 1.122. round that to 1.12 and add it to the original 1.87 to get 2.99.
∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-16)^{\circ}∠A=(2x−16) ∘ and m\angle B=(5x+28)^{\circ}∠B=(5x+28) ∘ , then find the measure of \angle A∠A.
Answer:
The measure of angle A is 32
Step-by-step explanation:
A+B=180
2x-16+5x+28=180
7x+12=180
7x=168
x=24
A=2(24)-16
A=48-16
A=32
Answer:
The dude above is right it's 32, I put it in and it's right :-)
Step-by-step explanation:
