Is 392 a perfect cube? If not, find the smallest natural number by which
392 must be multiplied so that the product will be a perfect cube.
Answer:
No
7
Step-by-step explanation:
We can start by factoring 392 to see whether it is a cube. 392 is obviously divisible by 2 because the last digit is even, and dividing by two we get:
392 = 2 x 196
Again, 196 is divisible by 2, so we get:
392 = 2 x 2 x 98
And 98 is also divisible by 2:
392 = 2 x 2 x 2 x 49
49 is 7 times 7, so we can finish the prime factorization of 392:
392 = 2 x 2 x 2 x 7 x 7
This is the same as:
392 = 2^3 x 7^2
We can see 392 is not a cube because both numbers are not raised to a power divisible by 3.
In order to turn it into a cube, we'd need to make both prime factors raised to the power of a multiple of 3. 2 is already raised to one, but 7 is raised to the power of 2. In order to make that two divisible by 3, we can multiply by 7 so that our number is 2^3 x 7^3(2744), and this would be a cube(It's 14 cubed).
please answer this!!
Answer:
16
Step-by-step explanation:
if angle c is 45 then angle A is 45 also
Hence AB is equal to BC
Will Mark Brainlest Helppp please
Answer:
1
Step-by-step explanation:
a pair of coordinates defines a first number x, and as second number y (or the functional result).
so, we need to find the value of x that leads to 2 as functional result.
2 = x² + 1
1 = x²
x = 1
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Express x^2-8+5 in the form (x-a)^2-b where a and b are integers
Answer:
(x-4)^2-9 where a=4 and b=9
Step-by-step explanation:
x^2-8x+5
x^2-8x+16-16+5
(x-4)^2-9, a=4 and b=9
I need help make sure to round it to the nearest 10th
Answer:
10.52
Step-by-step explanation
Find the value of x in the triangle shown below.
This is a isoceles triangle so base angles will be equal.
Therefore
ATQ
55 + 55 + x = 180
110 + x = 180 (Angle Sum Property)
x = 180 - 110
x = 70
Therefore x° = 70°
Answered by Gauthmath must click thanks and mark brainliest
Answer:x°=70°
Step-by-step explanation:
This is an isoceles triagle because the values on the sides of the figure are the same. Therefore the base angles will be equal.
55+55+x=180
110+x=180
Next, you will subtract 110 from both sides.
110+x=180
-110 -110
x°=70°
1. A department store kept records of how many fans were sold each day and the high temperature for that day. The results are shown in the scatterplot. Answer the questions about the scatterplot.
a. What is the explanatory variable (independent variable)? (1 point)
b. What is the response variable (dependent variable)? (1 point)
c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)
d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)
Answer:
a. What is the explanatory variable (independent variable)? (1 point)
Number of fans sold.
b. What is the response variable (dependent variable)? (1 point)
Outside temperature.
c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)
d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)
Yes because a rise in temperature causes fan sales to go up because people buy fans when it’s hot to cool off.
Step-by-step explanation:
I got it right on AP3X. Hope this helps!
Multiply the polynomials.
PLS HELP MEE
1st equation: a^2 + b^2 = c^2
2nd equation: a^2 + b^2 = n^2
Since the equations for both triangles have a^2 + b^2, you can think of the two equations for c^2 and n^2 as a system of equations. Substitute what a^2 + b^2 equals in the first equation for a^2 + b^2 in the second equation. After you substitute, what equation do
you get?
Answer:
c² = n²
Step-by-step explanation:
Given the 2 equations
a² + b² = c² → (1)
a² + b² = n² → (2)
Substitute a² + b² = c² into (2)
c² = n²
ASAP!! I'll mark you as BRAINLIEST Please help me out here I would really appreciate <3
Answer:
d) 16, 19, 14 + x
e) x + 20, 30, 33, 15, y - 20, x+x+20=60 and James would be 20.
f) 13
g) 120
Step-by-step explanation:
D.
(1) 14 + 2 = 16
(2) 14 + 5 = 19
(3) 14 + x
E.
(1) x + 20
(2) 10 + 20 = 30
(3) 13 + 20 = 33
(4) 35 - 20 = 15
(5) y - 20
(6) x + (x + 20) = 60 | 2x + 20 = 60 | 2x = 40 | x = 20
F.
200 - 148 = 52
52 / 4 = 13 each
G.
500 + 100 = 600
600 / 5 = 120 without the discount
Hope this helps!
Divide 384.085 by 50.5 using the correct number of significant digits. O A) 7.65 OB) 7.6517 O C) 7.652 OD 7.61
Answer:
d) 7.61
Step-by-step explanation:
384.085 ÷ 50.5 = 7.605643
d is the only possible value (u get it when u round up to 3 sf)
Answer:
D) 7.61Step-by-step explanation:
384.085 d i v i d e d b y 50.5
= 7.61
What is the length of AC? B 3 ft 4 ft N O 3 ft O 4 ft O 18 ft M 6 ft O 12 ft A
please help
Answer:18 ft
Step-by-step explanation:
Got it right on edg 2021
PLEASE HELP! DUE TODAY :))
Step-by-step explanation:
do like the picture I sent
x+y=4 and 2x+3y=2 then find x and y
Answer:
x=10, y=-6
Step-by-step explanation:
1) express x from the first equation x+y=4 x=4-y
2) It is the system of equations, so both equations are simultaneous.
you can replace x to 4-y in the second one
2 *(4-y) +3y=2
8-2y+3y= 2
y=-6
x= 4-y=4-(-6)=10
The answer is x=10, y=-6
find the measure of y.
options:
86°
102°
130°
122°
Answer:
B
Step-by-step explanation:
It's a 4 sided polygon, so it's sum of interior angle will be 360. 120+y+85+53=360. y=102
In the paper airplane shown, ABCD = EFGH, M
Answer:
it should be 90 I could be wrong
Please hurry I will mark you brainliest
Answer:
D y=2/3 x +1
y= -3/2 x+2
Step-by-step explanation:
Perpendicular lines have slopes that multiply to -1
The equations are written in slope intercept form
y = mx+b where m is the slope
A 1/5* 5 = 1 not perpendicular
B 2/3 * 3/2 = 1 not perpendicular
C -1/5 * -5 = 1 not perpendicular
D 2/3 * - 3/2 = -1 perpendicular
I need help for this question 3 so can anyone help me please
In a batch of 120 manufactured machine parts, 3 are found to be defective. At
his rate, how many machine parts would be defective in a batch of 12,000?
Answer:
300
Step-by-step explanation:
3:120 =1:60 ==300:12000
Please help! Geometry 9th grade
Answer:
69.3
Step-by-step explanation:
if you put it into 2D, you get a right triangle with leg lengths 62 (vertical height) and 31 (1/2 the base's length). Using Pythagorean's Theorem you get sqrt((62^2)+(31^2))= 69.318. Rounding to the nearest tenth you get 69.3
Must show work! PLEASE DO THIS ASAP!
No links
Answer:
37.68
Step-by-step explanation:
The formula for circumference is 2*pi*r plug in 6 for the radius to get 2*3.14*6 simplify to get 37.68
[tex]\rm \: \hookrightarrow \:\:Circumference \: \: of \: \: circle \: = \: 2 \: \pi \: r[/tex]
r = 6 inchesπ = 3.14[tex]\bf \large \: \implies \:\:2 \: \times \: 3.14 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:6.28 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:37.68 \: \: inches[/tex]
Factorise : 4z² - 16z + 15
Answer:
(2z-5)(2z-3)
if the "A" term in a quadratic Ax^2 + Bx + C is NOT a "1"
first check to see if there is a commpon factor of a,b,c that can be pulled out
for example 2x^2 + 4x + 6 you can pull
out a 2.... 2(x^2 + 2x +3)
if not you multiply the values a*c
in you case 4*15 which is 60
now you factor the 60
1*60
2*30
-1*-60
-2*-30
10*6
-10*-1
etc
when you find the combination that ADDS UP TO THE B TERM
you rewrite the B term using the factors you forud...
SO -16z becomes -10z - 6z
put it in the original problem
4z^2 -10z - 6z + 15
if you get this far , the GROUPS WILL ALWAYS WORK
pull out a 2z from "4z^2 -10z"
and pull out a -3 from "- 6z + 15"
and magically you will see that the "left over stuff" is the same
2z(2z-5) -3(2z-5)
pull out common item
(2z-5) (2z-3) ... all done
Step-by-step explanation:
multiple AC ... 15*4 = 60
factor 60 to end up with -16
-10 * -6 = 60
rewrite (factor by grouping)
4z^2 -10z - 6z + 15
find groups
2z(2z-5) -3(2z-5)
(2z-5)(2z-3)
Write the ratio $150 : $450 : $750 in its simplest form.
Lets do
[tex]\\ \Large\sf\longmapsto 150:450:750[/tex]
[tex] \\ \Large\sf\longmapsto \frac{150}{ \dfrac{450}{750} } \\ \\ \Large\sf\longmapsto \frac{15}{ \dfrac{45}{75} } \\ \\ \Large\sf\longmapsto \frac{3}{ \dfrac{9}{15} } \\ [/tex]
Simplified ratio is
[tex]\boxed{\LARGE{\sf \$1:\$3:\$5}}[/tex]
Answer:
1 : 3 : 5
Step-by-step explanation:
$150 : $450 : $750
Divide each by 150
$150/150 : $450/150 : $750/150
1 : 3 : 5
17. Write an equation in slope-intercept form for the line that passes through (0,6) and
is parallel to the line described by y = 2x +3.
Answer:
y = 2x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
The line passes through (0, 6 ) ⇒ c = 6
y = 2x + 6 ← equation of parallel line
carly walks 30 feet in seven seconds. At this rate, how many minutes will it take for carly to walk a mile if there are 5,280 feet in one mile?
Answer:
20.53 minutes
Step-by-step explanation:
Speed = Distance/Time = 30/7
Time = Distance / Speed
= 5280/30/7
= 1232 seconds / 60 = 20.53 minutes
Answered by Gauthmath
Please help me solve this last problem guys
Answer:
[tex]\frac{x+4}{4x-4}[/tex]
Step-by-step explanation:
A 10-foot ladder rests against a vertical wall. Let x be the distance from the bottom of the ladder to the wall and y be the distance from the floor to the top of the ladder. If the bottom of the ladder slides away from the wall, how fast does the top of the ladder fall down the wall with respect to x
Answer:
The rate of change of the top of the ladder with respect to x is -x/y
Step-by-step explanation:
The given parameters are;
The length of the ladder = 10 ft.
The horizontal distance of the bottom of the ladder from the wall = x
The distance of the top of the ladder from the floor = y
By Pythagoras's theorem, we have;
10 = y² + x²
Therefore, we have;
x² = 10 - y²
d(x²)/dx = 2·x = d(10 - y²)/dx = -2·y·dy/dx
∴ 2·x = -2·y·dy/dx
dy/dx = 2·x/(-2·y) = -x/y
Therefore, the rate of change of the top of the ladder with respect to x, dy/dx = -x/y.
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
Answer:
C = 6.28 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = 3.14(2)
C = 6.28 ft
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
To Find :The circumference of the circle Solution :Formula for getting the circumference
[tex] \: \: \: \: \: \: \: \: \: \star \: \orange{\underline{ \purple{ \boxed{ \red{\sf Circumference \: of \: the \: circle = 2πr}}}}}[/tex]
Given data :
Diameter = 2 ft
π = 3.14
Radius = diameter/2 = 2 ft/2 = 1 ft
So the circumference is
Circumference = 2πrCircumference = 2 × 3.14 × 1 Circumference = 6.28 ftTherefore, the perimeter is 6.28 ft
SOMEONE HELP ME PLEASE
Answer: P (4 or even) = 1/2 = 50% = 0.5
Step-by-step explanation:
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers: 6
Numbers of 4 = 1
Numbers of even = 3
[Since 4 is one of the even numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]
P (4 or even) = Favorable / Total (refer to attachment)
P (4 or even) = [(1 + 3) - 1] / 6
P (4 or even) = (4 - 1) / 6
P (4 or even) = 3 / 6
P (4 or even) = 1 / 2
Hope this helps!! :)
Please let me know if you have any questions
