The answer to your question is below
Step-by-step explanation:
1.- ∛27² = ∛729 = ∛ 3⁶ = 3⁶/³ = 3² = 9
Find the prime factors
729 3
243 3
81 3
27 3
9 3
3 3
1
2.- 64²/³ = ∛64² = ∛4096 = ∛ 2¹² = 2¹²/³ = 2⁴ = 16
3.- (∛3375)² = ∛3⁶5⁶ = 3⁶/³ 5⁶/³ = 3² 5² = 9 x 25 = 225
4.- (2744)² ¹/³ = ∛2744² = ∛7529536 = ∛2⁶7⁶ = 2⁶/³ 7⁶/³ = 2² 7² = 4 x 49 = 196
5.- 125²/³ = ∛ 15625 = 5⁶/³ = 5² = 25
6.- ∛4096² = ∛16777216 = 2²⁴/³ = 2⁸ = 256
2 cups and 3 plates costs £18. 5 cups and 1 plate costs £19. Find the cost of a cup. Find the cost of a plate
Answer:
A plate costs £4
Step-by-step explanation:
Let us represent the cups by c and the plates by variable p
Thus mathematically from the statements;
2c + 3p = 18. ••••••• (i)
secondly
5c + p = 19 •••••••••(ii)
so we want to find the value of p
Let’s multiply equation i by 5 and ii by 2
we have;
10c + 15p = 90
10c + 2p = 38
Now subtract equation ii from i
13p = 52
p = 52/13
p = 4
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 100-ft radius? use 3.14
Answer:
157Step-by-step explanation:
Let us first calculate the circumference of the circular of the circular garden
[tex]C= 2\pi r[/tex]
Given
r= 100
[tex]C= 2*3.142*100\\C= 628.4 ft[/tex]
Since the desired space between flowers is 4ft
Then the flowers needed for the garden is [tex]\frac{628.4}{4} = 157.1[/tex]
Approximately the number of flowers is 157
Answer:157
Step-by-step explanation:
what is the quotient -3/8 and -1/3
Answer:
[tex]\frac{9}{8}[/tex]
Step-by-step explanation:
In order to find the answer to this question you will have to use KCF (Keep, Change, Flip) on the equation and then multiply.
[tex]-\frac{3}{8} \div-\frac{1}{3}[/tex]
Use KCF:
[tex]-\frac{3}{8} \times-\frac{3}{1}[/tex]
Now multiply:
Negative times a negative equals a positive.
[tex]3\times3=9[/tex]
[tex]8\times1=8[/tex]
[tex]=\frac{9}{8}[/tex]
Hope this helps.
Answer: 9/8
Explanation: It's important to understand that dividing by a fraction is the same thing as multiplying by the reciprocal of the fraction.
So our problem can be rewritten as (-3/8) · (-3/1).
Remember that a negatives times a negative is a positive.
So (-3/8) · (-3/1) is 9/8.
Remember, multiply across the top and bottom.
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Us
to the nearest whole number.
14 in.
14 in.
1 5 in.
17
Answer:
Can you show a picture?
Step-by-step explanation:
Thanks.
Write the point-slope equation for each line with the given slope and point. y –y1 = m(x – x1) Slope = 5 Point on line = (–1, 3)
Answer:
[tex]y-3=5(x+1)[/tex]
Step-by-step explanation:
Point-Slope form is: [tex]y-y_1=m(x-x_1)[/tex]
'm' - Slope
(x1, y1) - Point Coordinate
We are given the point of (-1,3) and the slope of 5.
Replace 'm' with 5, 'x1' with -1, and 'y1' with 3:
[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-3=5(x+1)}[/tex]
Uh, one second I got to put the picture ;-;
Answer:
92°
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line 2y – 3x = 8
Answer:
The slope is 3/2 and the y intercept is 4
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
2y -3x=8
Add 3x to each side
2y-3x+3x= 8+3x
2y = 3x+8
Divide by 2
2y/2 = 3/2x +8/2
y = 3/2x +4
The slope is 3/2 and the y intercept is 4
Frannie bought a pair of sandals. What is a reasonable measurement for the width of a pair of sandals? A 5 cm B 5 mm C 5 in. D 5 yd
Answer:
A 5cm
Step-by-step explanation:
The others answers would be either too big or too small to fit
oblems
Congruency Pront
Name: Jarol
Comments
Statements
AC bisects BCD
Reasons
Given
Given
DCIAD
Given
BC AB
Given:
AC bisects BCD
DC I AD
BC AB
Right angles are =
Prove:
AC AC
BC DC
Bc z oo
Answer:
[tex]\overline{BC} \cong \overline{DC}[/tex] because corresponding parts of congruent triangles ΔACD and ΔACB are Congruent
Step-by-step explanation:
Statements, Reason
[tex]\overline{AC}[/tex] bisects ∠BCD, Given
[tex]\overline{DC} \perp \overline{AD}[/tex] Given
∠CDA ≅ ∠CBA Right angles are ≅
[tex]\overline{AC} \cong \overline{AC}[/tex] Reflexive property
ΔACD ≅ ΔACB Hypotenuse Leg (HL) congrurency
[tex]\overline{BC} \cong \overline{DC}[/tex] CPCTC
Where:
CPCTC = Corresponding parts of Congruent Triangles are Congruent
⊥ = Perpendicular to
≅ = Congruent
∠ = Angle
Δ = Triangle.
In ΔKLM, the measure of ∠M=90°, KL = 7 feet, and LM = 4 feet. Find the measure of ∠K to the nearest tenth of a degree.
Answer:
<K = 34.8°
Step-by-step explanation:
sin K = 4/7
K = [tex]sin^{-1}[/tex] (4/7)
<K = 34.8°
Question in the picture. PLS HELP!! THANKS + 30 POINTS + BRAINLIEST
Answer:
C. Lincoln Forest is at sea level
Step-by-step explanation:
Elevation above sea level is indicated for several points in the table
Positive number indicates points above, negative number indicates points below, zero elevation indicated points at sea level
So, the answer for Lincoln Forest is:
C. Lincoln Forest is at sea levelJane sold a radio costing sh.3800 at a profit of 20%.She earned a commission of 22 1/2% on the profit.Find the amount he earned
Answer:
20%=3800 => all of it is 19000
i didn't undrestand what do you want
sorry:)
What is the interquartile range (IQR) of the data set? 3,4,8,11,14,15,16
Answer:
11
Step-by-step explanation:
all you gotta do is subtract q3 from q1, in this case it's 15-4=11
Which equation would you use to solve the problem," Four less than the product of 3 and a number is 15"
A) 3n - 4 = — 15
B) 3 (n - 4) = — 15
C) 4 - 3n = — 15
D) 4(3n - 4) = 15
Answer:
The correct option is a) 3n - 4 = 15
Step-by-step explanation:
The product of 3 and a number means 3 multiplied by a number (n)
So it'll be 3*n or simply 3n
Now, it says 4 less than the product
So 4 less than 3n
That is equal to 3n minus 4 or 3n -4
So we come to the conclusion that
3n - 4 = 15
Hope this helps!
Rectangle ABCD has vertices A(–6, –2), B(–3, –2), C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1), C’(–7, –3), and D’(–10, –3). Which rule was used to translate the image? T–4, 3(x, y) T–4, 1(x, y) T4, –1(x, y) T4, –3(x, y)'
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
The coordinates of rectangle ABCD are;
A = (-6, -2)
B = (-3, -2)
C = (-3, -6)
D = (-6, -6)
The coordinates of the image are;
A' = (-10, 1)
B' = (-7, 1)
C' = (-7, -3)
D' = (-10, -3)
We note that for A and A', x - x' = -6 + 10 = 4 and y - y' = -2 - 1 = -3
For B and B', x - x' = -3 + 7 = 4 and y - y' = -2 - 1 = -3
For C and C', x - x' = -3 + 7 = 4 and y - y' = -6 + 3 = -3
For D and D', x - x' = -6 + 10 = 4 and y - y' = -6 + 3 = -3
Therefore, the transformation rule used to translate the image of rectangle ABCD is T₋₄, ₃ (x, y)
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
What value represents the horizontal translation from the graph of the parent function f(x)2 to the graph of the function g(x)=
(x-4)²+2?
-4
-2.
2
04
Answer:
4
Step-by-step explanation:
I graphed the functions on the graph below so you can see that the horizontal translation is represented by 4.
Arya spins both spinners. What is the probability that Arya gets blue on both spinners? Give your answer as a fraction.
Answer:
2/16
Step-by-step explanation:
Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8=16 and the blue one has 1 and they are 2 we get 1+1=2.
probability=desired chances/total chances
=2/16
The probability that Arya gets blue on both spinners is 2/16.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8 = 16 and the blue one has 1 .
we get 1 + 1 = 2.
The probability that Arya gets blue on both spinners
= desired chances/total chances
=2/16
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
Answer to this question ?
Answer:
(x - 10)(x - 3)
Step-by-step explanation:
You have to think of numbers that multiply up to 30 and add up to 13. So you eliminate the numbers down to 10 and 3, because you can add up to 13 and multiply to 30. Now you have to find how it adds up to negative 13 and multiply it to postive 30. 2 negatives make a positive when multiplying, and 2 negatives added together make another negative, so your roots are 10 and 3. Put that into factored form and you have (x - 10)(x - 3).
Alternatively you can either graph to find its zeros or guess-and-check.
Select the correct answer. Which number is located to the right of on the horizontal number line? A. -1 1/3 B. -2 1/3 C. -2 2/3 D. -3 1/3
Answer:
A. -1 1/3
Step-by-step explanation:
I am assuming you want to find the number that is farthest to the right of all 4 possible choices. In that case, the bigger the negative number, the farther left it is on the number line. The smaller the negative number, the farther right it is on the number line.
A tram moved upward 18 meters in 6 seconds at a constant rate. what was the change in the trams elevation each second?
Answer:
3 meters per second.
Step-by-step explanation:
Change in elevation = distance / time
= 18/6
= 3 meters / second.
.
Lexie has dimes and ten dollar bills in her pocket. The number of dimes is six more than two times the number of ten dollar bills. Let t represent the number of ten dollar bills. Write an expression for the number of dimes
Answer:
d=6+2t
Step-by-step explanation:
Let
t=number of ten dollar bills
d=number of dimes
Number of dimes is six more than two times the number of ten dollar bills
d=6+2*t
d=6+2t
Harun and Anis have m boys and n girls. How many children do they have?
FOR 15 POINTS Which is the solution to the equation 0.5 x + 4.2 = 5.9? Round to the nearest tenth if necessary. 0.9 3.4 5.1 20.2
Answer:
3.4
Step-by-step explanation:
0.5x+4.2=5.9
Subtract 4.2 from both sides:
0.5x=1.7
Divide both sides by 0.5:
x=3.4
Hope this helps!
chameli has rupees 600 left after spending 75% of her money. how much did she have in the beginning
Answer:
Rs. 1050
Step-by-step explanation:
75/100×600= 7.5×60= 450+600= 1050
Hope this helps
can i have some help please?
Answer:
42°
Step-by-step explanation:
given OA and OC are perpendicular, the angle between the lines are 90°
this means that ∠AOB and ∠BOC add up to 90°, i.e.
(6x-6) + (5x+8) = 90
6x-6 + 5x+8 = 90
11x - 6 +8 = 90
11x + 2 = 90 (subtract 2 from both sides)
11x = 90- 2
11x = 88 (divide both sides by 11)
x = 8
Hence, m∠BOC
= 6x - 6
= 6(8) - 6
= 48 - 6
= 42°
Given: ABCD ∥gram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D
Answer:
m∠A 60°, m∠B= 120°, m∠C =60°, m∠D=120°
Step-by-step explanation:
[tex] In\: ||^{gm} \: ABCD, \: BK\perp AD... (given) \\
\therefore \angle BKA = 90\degree \\
In\:\triangle BKA, \\\\
\cos \angle A = \frac{AK}{AB}\\\\
\cos \angle A = \frac{3}{6}\\\\
\cos \angle A = \frac{1}{2}\\\\
\cos \angle A = \cos 60\degree.. (\because \cos 60\degree = \frac{1}{2}) \\\\
\huge \red {\boxed {\therefore \angle A = 60\degree}} \\[/tex]
Since, adjacent angles of a parallelogram are Supplementary.
[tex] \therefore \angle A + \angle B = 180\degree \\
\therefore 60\degree + \angle B = 180\degree \\
\therefore \angle B = 180\degree - 60\degree\\
\huge \purple {\boxed {\therefore \angle B = 120\degree}} \\[/tex]
Since, opposite angles of a parallelogram are congruent.
[tex] \therefore \angle C = \angle A
\\
\huge \red{\boxed {\therefore \angle C = 60\degree}} \\\\
\therefore \angle D = \angle B
\\
\huge \purple {\boxed {\therefore \angle D = 120\degree}} \\[/tex]
Mary has walked 8 km, which is 55% of the total distance she will walk. How much farther does Mary need to walk?
Answer:
6 6/11 km
Step-by-step explanation:
8 = 0.55x
160/11=x
160/11-8=6 6/11 km
What do a kite and a rhombus have in common?
Answer:
Their diagonals intersect at right angles
They are quadrilaterals
Opposite angles are equal
Step-by-step explanation:
Answer:
their shapes
Step-by-step explanation:
they have same corners
What is 2x-4. I really don’t understand
Answer:
2 * -4 = -8
Step-by-step explanation:
2 * -4 = -8
It is just like multiplying two numbers like... 2 * 4 = 8
You must need to know that:
+a * -b = -c
-a * -b = +c
+a * +b = +c
In your question;
+a * -b = -c
a = 2
b = -4
c = -8
therefore:
2 * -4 = -8
Divide x^3 - x - 6 by x - 2
Answer:
x^2 +2x + 3
Step-by-step explanation:
x^3 - x -6 / x-2
Step one - FACTOR x^3:
(x-2)(x^2+2x+3) / x-2
Step two - CANCEL the common factor of x-2
x^2+2x+3