Answer:
Step-by-step explanation:
The first and only rule really is to factor these down to their primes and then apply a very simple rule
For every prime, take out 1 prime for every prime under the root sign that equals the index. The rest are thrown away.
That's very wordy. Let's try and see what it means with an example
Take sqrt(27) The index is 1/2 (square root) That means we need two threes in order to apply the rule.
sqrt(27) = sqrt(3 * 3 * 3 ) For every two primes take out 1 and throw one away.
sqrt(27) = 3 sqrt(3) You can't take out that 3rd 3.
64 = 2 * 2 *2 *2 *2 * 2
4th root 64 = 2*2*2 *2 * 2 *2
for every 4th root, you get to take 1 out and throw three away.
4th root 64 = 2 fourth root (2*2)
4th root 64 = 2 fourth root (4)
- 189 = - 3 * 3 * 3 * 7
cuberoot (- 189) = For every 3 roots, you get to pull 1 out and throw the other two away.
3 cube (- 7) is your answer.
72 = 2 * 2 * 2 * 3 * 3
cube root (72) = 2 cube root(9) You don't have enough threes to do any more than what is done.
Savannah's cat weighs 9 pounds. Savannah's dog weighs 4 3/4 times as much as her cat. How much does Savannah's dog weigh?
Answer:
42.75 pounds
i think :))
Step-by-step explanation:
Rebecca's window store made a mosaic for the community center. The mosaic had a 7 × 7 array of different color square tiles. If each tile is 3 1/2 ft long, what is the area of the whole mosaic?
Answer:
600 1/4 ft²
Step-by-step explanation:
Window is a 7 * 7 square array
Length per tile = 3 1/2 ft long
Dimension of entire array :
3 1/2 * 7 by 3 1/2 * 7
7/2 * 7 by 7/2 * 7
49/2 by 49/2
Recall : Area of a square = a² ; where a = side length
Area of entire array :
49/2 * 49/2 = 2401 / 4 = 600 1/4 ft²
Haley and her family went on a vacation. To get to the beach, they drove for 3 hours
and 25 minutes. When they headed back home, it took them 230 minutes to get home.
Did it take longer to get to the beach or to get home from the beach?
Answer:
it took longer to get to the beach
Step-by-step explanation:
they drove to the beach for 3 hours and 25 minutes and it took 55 minutes less to get home
Answer:
it took longer to get back home
Step-by-step explanation:
Select all irrational numbers.
Answer:
Square root of 8, 10, and 15
Step-by-step explanation:
PLEASE HELP I"LL MARK YOU THE BRAINLEST AND GIVE YOU ADDITIONAL POINTS> HELP ITS DUE VERY SOON. To answer this question you must divide the shape into two triangles and a rectangle and add the sums of the areas together.
You work as a custodian at a school and are responsible for wiping cafeteria tables in the shape shown. Each spray bottle covers 200 square feet, and you need to clean 6 tables.
If you have 4 bottles of spray, do you have enough to clean all 6 tables?
Yes, because the area of all 6 tables is 420 sq. ft., and the spray covers 800 sq. ft.
Yes, because the area of all 6 tables is 432 sq. ft., and the spray covers 800 sq. ft.
Yes, because the area of all 6 tables is 768 sq. ft., and the spray covers 800 sq. ft.
No, because the area of all 6 tables is 804 sq. ft., and the spray only covers 800 sq. ft.
No, because the area of all 6 tables is 912 sq. ft., and the spray only covers 800 sq. ft.
Answer:
option E
Step-by-step explanation:
No, because the area of all 6 table is 912 sq .ft
and the spray only covers 800 sq .ft .
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
If the area of a rectangle is
(15x2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.
Answer:
255
Step-by-step explanation:
(15x2 - 16x - 15) = 270
(3- 5) = -15
270
- -15
= 255
The width of a rectangle is 7 feet and the diagonal legnth of the rectangle is 11 feet. Which measurement is closest to the length of this rectangle in feet?
Answer:
8.49 feet
Step-by-step explanation:
Characteristics of a rectangle
A rectangle is a quadrilateral It has two parallel sides the diagonals of a rectangle bisect each other and they are equal in lengthOne diagonal of a rectangle divides a rectangle into two right angled triangles. Thus, the length of the rectangle can be determined using the Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length = ?
b = width = 7
c = diagonal = 11
7² + a² = 11²
49² + a² = 121²
a² = 121 - 49
a² = 72
calculate the square root of 72
a = 8.49 feet
Answer:
8.49 feet
Step-by-step explanation:
What is the volume of a figure with that is 3 inches wide, 3 inches tall and 7 inches long?
Answer:
Step-by-step explanation:
volume=3×3×7=63 inch³
I’m confused on this question
Answer:
percent will be
65÷90×100which the answer will be
72.2%Step-by-step explanation:
hope it helps
Barry carefully measured all three sides of the triangle and the dimensions were as follows: 7 meters, 8 meters, 10 meters. Was it a Right Triangle? Please help!
Answer: Not a right-angled triangle
Step-by-step explanation:
Given
The sides of a triangle are [tex]7\ m, 8\ m, \text{and}\ 10\ m[/tex]
For a right-angle triangle, it must satisfy the Pythagoras theorem
[tex]a^2+b^2=c^2[/tex]
i.e. the square of the larger side must be equal to the sum of the square of the remaining two sides
Here,
[tex]\Rightarrow 7^2+8^2\ ?\ 10^2\\\Rightarrow 49+64\ ?\ 100\\\Rightarrow 113\neq 100[/tex]
Therefore, it is not a right-angle triangle
i just need the Y blank answers please!!
A four-sided sandbox has more than two right angles, two side lengths 3 ft, and two side lengths 6 ft.
What geometric shape best describes the shape of the sandbox? Use pencil and paper. Sketch the
sandbox.
Which geometric shape best describes the shape of the sandbox?
Answer:
I would say rectangle.
Step-by-step explanation:
_ _ _ more than two right angles
l l
l l
l l 6 ft
l l
l l
l l
--- --- ---
3 ft
What is the solution to this equation?
2 x + 10 = 28
Record your answer in the space provided. Be sure to use the correct place value.
Answer:
[tex]2x + 10 = 28 \\ 2x = 28 - 10 \\ 2x = 18 \\ 2x \div 2 = 18 \div 2 \\ x = 14[/tex]
A
Write an explicit formula for an, the nth term of
the sequence 17, 15, 13, ...
Tn=-2n+19
Step-by-step explanation:
Well in south africa we use Tn
Tn=a+(n-1)d
a=is the first term in the sequence which is 17
d=is the the difference between the terms which is - 2
Tn=17+(n-1)(-2)
Tn=17-2n+2
Tn=-2n+19
15. A hot dog stand sells of its hot dogs before noon, and of its hot dogs after noon. At the
end of the day they have 21 hot dogs left. How many hot dogs did they sell?
PLEASE HELP WILL MARK BRAINLEST!
Answer:
Step-by-step explanation:
The first thing to do is convert to a common denominator.
So 1/2 =4/8. That means the vendor sold 4/8+3/8=7/8 of its hot dogs. 280 = 7/8. Now if you divide 280 by 7, you get 1/8 (answer = 40). The vendor sold 7/8 and 1/8 was left, which = 40. 8/8 would be 280 + 40 = 320.
The process of producing pain-reliever tablets yields tablets with varying amounts of the active ingredient. It is claimed that the average amount of active ingredient per tablet is at least 200 milligrams. The Consumer Watchdog Bureau tests a random sample of 70 tablets. The mean content of the active ingredient for this sample is 194.3 milligrams, while the standard deviation is 21 milligrams. What is the approximate p-value for the appropriate test
Answer:
p = 0.0116
Step-by-step explanation:
We are given;
Population mean; μ = 200 mg
Sample mean; x¯ = 194.3 mg
Standard deviation; σ = 21 mg
Sample size; n = 70
Formula for z-score is;
z = (x¯ - μ)/(σ/(√n))
z = (194.3 - 200)/(21/√70)
z = -5.7/2.51
z = -2.27
From the z-score table attached, the p-value at z = -2.27 is p = 0.0116
Solve for x: three halves plus one half times x equals two x
x equals two thirds
x = 1
x = 2
x = 3
Answer:
b) x = 1
Step-by-step explanation:
Given statement,
→ three halves plus one half times x is equals two x.
Forming the equation,
→ (1/2) + (1/2) + (1/2) + (1/2)x = 2x
Now the value of x will be,
→ (1/2) + (1/2) + (1/2) + (1/2)x = 2x
→ (1 + 1 + 1)/2 = 2x - (1/2)x
→ 3/2 = ((4 - 1)/2)x
→ 3/2 = (3/2)x
→ (3/2)x = 3/2
→ x = (3/2) × (2/3)
→ x = (3 × 2)/(2 × 3)
→ x = 6/6
→ [ x = 1 ]
Hence, the value of x is 1.
6+6= (mod 4)
Determine what number the sun is congruent to in mod 4
Answer:
c gsudhdbxjxjsjsbhxidhsv susb
Can someone help me please
Answer:
Domain: -3,-2,0,2
Range: 2,-2,-3,-1,1
Step-by-step explanation:
Domain is the x values and the Range is the y values
What is the answer for cos(43) = sin(?)
Answer:
Step-by-step explanation:
cos 43=cos (90-47)=sin 47
Determine if the two triangles are congruent. If yes, which theorem proves their congruence?
Answer:
Not congruent.
The Angle-Side-Side Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILLY congruent.
Step-by-step explanation:
plz help me with the puiz
Gary is buying bananas at the grocery store. The bananas cost $0.89 per pound. What is the equation for the cost (y) of (x) pounds of bananas Gary buys?
a. y=0.89+x
b. y=0.89-x
c. y=0.89/x
d. y=(0.89)x
Answer:
d
Step-by-step explanation:
Charles and Jaden share a reward of $63 in a ratio of 2:5. How much does Jaden
get?
Answer:
9
Step-by-step explanation:
2:5=7
therefore Jaden got 63÷7
=9
Write the equation of the line in fully simplified slope-intercept form.
Answer:
[tex]y = -\frac{2}{5} x-6[/tex]
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula [tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
[tex]m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\[/tex]
So, the slope of the line is [tex]-\frac{2}{5}[/tex].
2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] into the formula.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{2}{5}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:
[tex]y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6[/tex]
please help i need help with all of these questions
Answer:
1: 1/2
2: 6
3: 2
4: -4
Step-by-step explanation:
I'm smart give me brainliest
Pls help and thank you
Answer:
No Solution
Step-by-step explanation:
5(2x-3)
10x-15=10x-15
-10x -10x
15=15
-15 -15
0=0
Determine whether a triangle with the given side lengths is a right triangle: 8 cm, 10 cm, 12 cm
When you draw the shape out you dont get a triangle
Mrs. Alley is buying carpet for a rectangular room that measures 12 feet wide and 24 feet long. How many square feet of carpet will Mrs. Alley need?
What is the value of x?
32
54
36
68
Help ASAP plz and thank you
Answer: i think its 36
Step-by-step explanation:
126 = x + 58
x = 126 - 58
x = 68
hope this helps... !!!