∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45
Similarly,
∛(-101) = - ∛101
Now,
• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4
• 5³ = 125, so ∛101 would similarly fall between 4 and 5
So to summarize, we have
3 < ∛45 < 4 < ∛101 < 5
so that
-5 < ∛(-45) < -4 < ∛(-101) < -3
so the integer between these numbers is -4.
PLZ I NEED ANSWER I GIVE BRAINLIEST TO FIRST ANSWER RIGHT
Answer:
B. Point B
Step-by-step explanation:
How much will it cost to fill up an empty 12-gallon take if gasoline costs $1.1599 per gallon
Answer:
13.9188 dollars
Step-by-step explanation:
1.1599 * 12 = 13.9188
Answer:
1 gallon fill = $1.1599
Step-by-step explanation:
we have to fill 12-gallons
Simple-Answer:
12 gallon = 12 * $1.1599
12 gallon = $13.9188
Find the value of x,rounded to the nearest tenth
Answer:
Step-by-step explanation:
The formula for this is
14(20) = 25x and
280 =25x so
x = 11.2
Using the figure below, find the value of x. Enter your answer as a simplified radical or improper fraction (if necessary) into the equation box below.
Hello,
M=middle[AB]
The triangle ABC is equilateral :
x= 15/2
use the quadratic formula to solve x^2 + 3^x - 28 = 0
Step-by-step explanation:
x^2 + 3x - 28 = 0
x^2 - 7x + 4x - 28 = 0
x(x-7) + 4(x-7) = 0
(x+4)(x-7)= 0
x+4=0 or x-7=0
x= -4 or x=7
Find a number such that if 16 is added to it, the ratio of the result to the original number is 4:3
Answer:
48
Step-by-step explanation:
let the number be x and x + 16 the result of adding 16 to it, then
the ratio of the result to the original is
[tex]\frac{x+16}{x}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )
4x = 3(x + 16) = 3x + 48 ( subtract 3x from both sides )
x = 48
simplify (-9)×5×6(-3)
[tex]\bf \large \hookrightarrow \:( - 9) \: \times \: 5 \: \times \: 6 \: \times \: ( - 3) \\ \\ \bf \Large \hookrightarrow \: \: \: - 45 \: \times \: ( - 18) \\ \\ \bf \Large \hookrightarrow \: \: 810[/tex]
Please help
[tex]a { }^{2} + b {}^{2} + 18 \geqslant 6(a - b)[/tex]
Answer:
a²+b²-18greaterthan or equal to 6a-6bFind the length of side xx in simplest radical form with a rational denominator.
Answer:
x = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{x}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
x = 2[tex]\sqrt{2}[/tex]
Answer:
Solution given:
Relationship between perpendicular and hypotenuse is given by sin angle
Sin 30°=opposite/hypotenuse
½=[tex]\frac{\sqrt{2}}{x}[/tex]
x=2*[tex]\sqrt{2}[/tex]
The value of x is 2[tex]\sqrt{2}[/tex]
Given ACM, angle C=90º. AP=9, PM=12. Find AC, CM, AM.
Answer:
AM = 25, AC = 15, CM = 20
Step-by-step explanation:
The given parameters are;
In ΔACM, ∠C = 90°, [tex]\overline{CP}[/tex] ⊥ [tex]\overline{AM}[/tex], AP = 9, and PM = 16
[tex]\overline{AC}[/tex]² + [tex]\overline{CM}[/tex]² = [tex]\overline{AM}[/tex]²
[tex]\overline{AM}[/tex] = [tex]\overline{AP}[/tex] + PM = 9 + 16 = 25
[tex]\overline{AM}[/tex] = 25
[tex]\overline{AC}[/tex]² = [tex]\overline{AP}[/tex]² + [tex]\overline{CP}[/tex]² = 9² + [tex]\overline{CP}[/tex]²
∴ [tex]\overline{AC}[/tex]² = 9² + [tex]\overline{CP}[/tex]²
Similarly we get;
[tex]\overline{CM}[/tex]² = 16² + [tex]\overline{CP}[/tex]²
Therefore, we get;
[tex]\overline{AC}[/tex]² + [tex]\overline{CM}[/tex]² = 9² + [tex]\overline{CP}[/tex]² + 16² + [tex]\overline{CP}[/tex]² = [tex]\overline{AM}[/tex]² = 25²
2·[tex]\overline{CP}[/tex]² = 25² - (9² + 16²) = 288
[tex]\overline{CP}[/tex]² = 288/2 = 144
[tex]\overline{CP}[/tex] = √144 = 12
From [tex]\overline{AC}[/tex]² = 9² + [tex]\overline{CP}[/tex]², we get
[tex]\overline{AC}[/tex] = √(9² + 12²) = 15
[tex]\overline{AC}[/tex] = 15
From, [tex]\overline{CM}[/tex]² = 16² + [tex]\overline{CP}[/tex]², we get;
[tex]\overline{CM}[/tex] = √(16² + 12²) = 20
[tex]\overline{CM}[/tex] = 20.
hey guys, can you help me out?
Answer:
Step-by-step explanation:
it is incorrect at step 3
it should be 12*10^(9-5)
=12*10^4
Problem: Construct a triangle with interior angle measures of 60° and 60°. Let one of the side lengths be 10. What are the lengths of the other sides?
Answer:
Step-by-step explanation:
Given a triangle with angles 60° and 60°. Let the third angle be represented by x, so that;
x + 60° + 60° = [tex]180^{o}[/tex] (sum of angle in a triangle)
x + 120 = [tex]180^{o}[/tex]
x = [tex]180^{o}[/tex] - 120
x = 60°
Thus, since the third angle of the triangle is 60°, then the triangle is an equilateral triangle. For an equilateral triangle, all sides are equal and all its angles are equal. So that the other sides of the triangle is 10 each.
<ABC ≅ <BAC ≅ < ACB ≅ 60°
AB = BC = AC = 10 cm
The required construction for the question is attached to this answer for more clarifications.
Answer:
It's an obtuse angle
Step-by-step explanation:
Huilan's age is three times Thomas's age. The sum of their ages is 100. What is Thomas's age? 1 years old
Answer:
thomas is 25 years old
Step-by-step explanation:
ratio = 3:1
3+1=4
total age=100
Thomas age = 1/4 × 100 = 25
simplify(x_2y)(x_2y)_(x+2y)(x+2y)
Answer:
-8xy
Step-by-step explanation:
Expand
( x − 2 y ) ( x − 2 y )
x ⋅ x + x ( − 2 y ) − 2 yx − 2 y ( − 2 y ) − ( x+ 2 y ) ( x + 2 y )
x2−4xy+4y2−(x+2y)(x+2y)
x2−4xy+4y2+(−x−(2y))(x+2y)
Multiply2by−1.x2−4xy+4y2+(−x−2y)(x+2y)
x2−4xy+4y2−x⋅x−x(2y)−2yx−2y(2y)
x2−4xy+4y2−x2−4xy−4y2
− 8xy
someone help me please with this algebra problem
Answer:
7 in.
Step-by-step explanation:
2L + 2W = 16
Try L = 7
2(7) + 2W = 16
14 + 2W = 16
2W = 2
W = 1
If the length is 7 in., then the width is 1 in. That is perfectly acceptable, so L = 7 in. is a good value.
Try L = 8
2(8) + 2W = 16
16 + 2W = 16
2W = 0
W = 0
A length of 8 would make a width of 0. You can't have a rectangle with 0 width, so L = 8 does not work.
When L = 9 or L = 10, the width would be negative. The width of a rectangle cannot be a negative number, so these values doe not work.
Answer: 7 in.
PLEASE HELP!!! Urgent. Will mark as brainliest
Answer:
Step-by-step explanation:
m∠2 = [tex]\frac{1}{2}[/tex](55+41)
m∠2 = [tex]\frac{1}{2}[/tex](96)
m∠2 =48°
m∠1 = 180-48 = 132°
0.4x + 3 = 0.2(3x+1) - x
Solve for x
Hello!
0.4x + 3 = 0.2(3x + 1) - x
0.4x + 3 = 0.6x + 0.2 - x
0.4x + 3 = -0.4x + 0.2
0.4x + 0.4x = 0,2 - 3
0.8x = -2.8
x = -2.8 : 0.8
x = -7/2
Good luck! :)
Please help! i have no idea how to do this, all i know is it's the sine rule. it's due tomorrow so if you know how to do this please help haha
Answer:
93.2°
Step-by-step explanation:
[tex]\frac{sin(38)}{9} = \frac{sin(c)}{11}[/tex] ... c =48.8
a =180-(38+48.8) = 93.2
find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches 2:
Answer:
a = 4
b = -2
Step-by-step explanation:
If the given function is continuous at x = 1
[tex]\lim_{x \to 1^{-}} f(x)=(x+1)[/tex]
[tex]=2[/tex]
[tex]\lim_{x \to 1^{+}} f(x)=ax+b[/tex]
[tex]=a+b[/tex]
[tex]\lim_{x \to 1} f(x)=ax+b[/tex]
[tex]=a+b[/tex]
And for the continuity of the function at x = 1,
[tex]\lim_{x \to 1^{-}} f(x)=\lim_{x \to 1^{+}} f(x)=\lim_{x \to 1} f(x)[/tex]
Therefore, (a + b) = 2 -------(1)
If the function 'f' is continuous at x = 2,
[tex]\lim_{x \to 2^{-}} f(x)=ax+b[/tex]
[tex]=2a+b[/tex]
[tex]\lim_{x \to 2^{+}} f(x)=3x[/tex]
[tex]=6[/tex]
[tex]\lim_{x \to 2} f(x)=3x[/tex]
[tex]=6[/tex]
Therefore, [tex]\lim_{x \to 2^{-}} f(x)=\lim_{x \to 2^{+}} f(x)=\lim_{x \to 2} f(x)[/tex]
2a + b = 6 -----(2)
Subtract equation (1) from (2),
(2a + b) - (a + b) = 6 - 2
a = 4
From equation (1),
4 + b = 2
b = -2
3. Una forma de dividir facilmente entre 4 es dividiendo dos veces entre 2.Observa el ejemplo y aplica el procedimiento utilizado
Ejemplo: 568÷4=(568÷2)÷2
= 284 ÷2
= 142
a) 936÷4= c)2 812÷4=
b) 2 084÷4= d)3 720÷4=
help or i will fail my acellus
Answer:
I think it's 155 cm
Step-by-step explanation:
=(5×5×3)+(5×2×4)
= 75+40
= 155 cm2
yall still in school? i ended may 27th hbu?
Answer:
mine ended june 9th but i got summer school for 2 classes lol
School ended the 15 of June but I'm in summer school rn it ends this Friday
3/4 ploted on a number line
Answer:
3/4 = 0.75
- 1 - 2 - 3 - 4
3/4 so its 321 colored
Step-by-step explanation:
To get a B in math, I must average 80 on 5 test. My scores on the 1st 4 test were 83, 75, 83, amd 78. What is the lowest score that I can get on the last test to still get a B?
Answer81 is the lowest you can get on the last test and still get a B.
Step-by-step explanation:I used the mean average and guess and check.
Answer:
83+ 75+ 83+ 78=319
319 divided by 4=79.75 so a high c
83+ 75+ 83+ 78+80=399
399 divided by 5=79.8 not quite
83+ 75+ 83+ 78+85=404
404 divided by 5=80.8
83+ 75+ 83+ 78+81=400
400 divided by 5=80
so you have to get a 80 to still get a b
The graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)?
a parabola passing through negative 4 comma zero, negative 1 comma 9, zero comma 8, and 2 comma zero
A. (x, −x2 − 2x + 8) for all real numbers
B. (−4, 0), (−1, 9), (0, 8), (2, 0)
C. (−4, 0), (2, 0)
D. (x, y) for all real numbers
Answer: C. (−4, 0), (2, 0)
Step-by-step explanation:
By solution, I believe it means the roots of the equation(aka zeros), meaning the points where the graph intersects the x-axis(aka x-intercepts). It intersects at two points: (−4, 0) and (2, 0)
Answer:
A) (x, −x2 − 2x + 8) for all real numbersStep-by-step explanation:
I got it right on my 8.06 exam! ✨ Keep believing, superstar!
and go see Sing 2 for me..its an awesome movie and it'll make u smile!
What could be the possible "one's" digits of the square root of the number 183184? 2 or 8 4 or 6 2 or 6 only 2
Answer:
2 or 8
Step-by-step explanation:
Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.
Given the following number;
183184
Taking the square root, we have;
√183184 = 428
The place value of 4 is hundreds.The place value of 2 is tens.The place value of 8 is ones or units (8 is in ones place).*Therefore, the possible "one's" digits of the square root of the number 183184 is 2 or 8.
Which table of values corresponds to the graph below?
Answer:
Step-by-step explanation:
No Graph
what is the area of this triangle
Answer:
son Judy even eat and technology and yyry and then he will get your BMW
Find the value of x line 1 and m are parallel
Helppp
Answer:
The angle ACB = 50 degree.
Step-by-step explanation:
Given that angle E = 40 degree
Angle D = 90 degree
Triangle ABC is congruent to triangle DEC.
Now Angle ACB = Angle ECD = 90 -40 = 50 degree
So, angle ACB = 50 degree.
product of (6x+8us^2)(x-us^2)
Answer:
−8s4u2+2s2ux+6x2
Step-by-step explanation:
=(6x+8us2)(x+−s2u)
=(6x)(x)+(6x)(−s2u)+(8us2)(x)+(8us2)(−s2u)
=6x2−6s2ux+8s2ux−8s4u2
=−8s4u2+2s2ux+6x2
Answer:
6x² + 2xus² - 8u²s^4
Step-by-step explanation:
(6x+8us²)(x-us²)
6x² - 6xus² + 8xus² - 8u²s^4
6x² + 2xus² - 8u²s^4