3^2/3 9^2/3 simplify expression please
Answer:
81
Step-by-step explanation:
Suppose that b and c are points on the number line . if bc = 10 and b lies at 3 , where could c be located?
GEOMETRY 100 POINTS
Find the length of BC
Answer:
x = 16
Step-by-step explanation:
Opposite sides are equal in a parallelogram
AD = BC
5x - 12 = 3x + 20
5x - 3x = 20 + 12
2x = 32
x = 32/2
x = 16
Six multiplication problems involved in solving 325 x 89
Answer:
(300*80) + (300*9) + (20*80) + (20*9) + (5*80) + (5*9) = 28925
Step-by-step explanation:
Given;
325 x 89
Expand 325 = 300 + 20 + 5
Expend 89.0 = 80 + 9
now multiple to two expanded numbers;
(300 + 20 + 5) x (80 + 9)
distribute the number accordingly as follows;
(300*80) + (300*9) + (20*80) + (20*9) + (5*80) + (5*9), now we have Six multiplication problems.
= 24,000 + 2700 + 1600 + 180 + 400 + 45
= 28925
Help me, please ?? :)
Answer:
a) 11
b) 16
c) between 5 and 6
d) 16
Step-by-step explanation:
\(\text{a. }\quad\sqrt{121}=\sqrt{11^2}=\boxed{11}\\\\\text{b. }\quad 8\sqrt{4}=8\sqrt{2^2}=8\cdot 2=\boxed{16}\\\\\text{c. }\quad\sqrt{35}\ \dots\ \sqrt{25}<\sqrt{35}<\sqrt{36}\\\\\text{ }\qquad\sqrt{5^2}<\sqrt{35}<\sqrt{6^2}\\\\\text{ }\qquad \boxed{5<\sqrt{35}<6}\\\\\text{d. }\quad\dfrac{.8}{.05}=\dfrac{0.80\cdot 20}{.05\cdot 20}=\dfrac{16}{1}=\boxed{16}\)
Chase and Sara went to the candy store. Chase bought 5 pieces of bobble gum for of $5.70. Sara bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60. Which system of equations could be used to determine the cost of 1 piece of fudge, f, and 1 piece of bubble gum , g.
what is the volume of the cylinder below height 15 radius 11
Answer:
πr^2 h
π(11)^2 (15)
= 1815π or = 5701
Find the area of the triangle. Show your reasoning. If you get stuck, carefully consider which side of the triangle to use as the base.
The area of the triangle is found as 12 unit².
What is defined as the triangle?A triangle is a three-sided polygon with three sides that closes a space.
The three sides are formed by lines, line segments, or rays (in just about any combination). Three vertices, or corners, are formed if three sides form or meet.A triangle's height or altitude is calculated by drawing a perpendicular line through one side to the opposite angle.The base is the side with which the altitude intersects wherever it is built.The formula for the area of the triangle is;
Area of triangle= ½ × base × height
The base is given as 6 units and the height is 4 units. (count 1 column of graph as 1 unit).
Put the values in formula.
Area of triangle = ½(6)(4)
Area of triangle = 12 unit.²
Therefore, the area of the triangle is found as 12 unit.²
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1/3 (4+18) -2 to the 2nd power
Step-by-step explanation:
Using pemdas start with the paranthesis.
4+18=22
1/3 * 22 - 2 to 2nd power which is 4 = 0.3333333333 * 22 = 7.3333333326 - 4 = 3.3333333326
In planning her retirement, Liza deposits some money at 4.5% interest, with twice as much deposited at 5%. Find the amount deposited at each rate if the total annual interest income is $2610.
Solving a system of equations we will see that she deposited $18,000 at the 4.5% rate and $36,000 at the 5% rate.
How much did she deposit at each rate?
First, let's define the variables:
x = amount deposited at the 4.5% rate.y = amount deposited at the 5% rate.We know that:
y = 2*x
And because the total income is $2610, then:
0.045*x + 0.05*y = $2610
So we have a little system of equations:
y = 2*x
0.045*x + 0.05*y = $2610
To solve this we can replace the first equation into the second one:
0.045*x + 0.05*(2x) = $2610
x*(0.045 + 0.1) = $2610
x*0.145 = $2610
x = $2610/0.145 = $18,000
We conclude that she deposited $18,000 at the 4.5% rate, and twice that amount (2*$18,000 = $36,000) at the 5% rate.
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Find the product and simplify your answer 6w(5w^2-5w+5)
Solve for x. 0 = x^2 + 5x + 8
A.
B.
C.
D.
Answer:
\(\bold{x = \frac{-5 \± i\sqrt7}{2}}\)
Step-by-step explanation:
x^2 + 5x + 8=0
Comparing with ax^2+bx+c=0
we get a = 1, b = 5, and c = 8.
Using the quadratic formula, we have:
\(x = \frac{-b \± \sqrt{(b^2- 4ac)}}{ 2a}\)
Substituting these values, we get:
\(x =\frac{ -5 \± \sqrt{5^2 - 4*1*8}}{2*1}\)
\(x = \frac{-5 \± \sqrt{25 - 32}}{ 2}\)
\(x = \frac{-5 \± \sqrt{-7}}{ 2}\)
\(x = \frac{-5 \± i\sqrt7}{2}\)
Therefore, the solutions are:\(x = \frac{-5 \± i\sqrt7}{2}\)
Given the following set of numbers find the mean, median and mode. 6, 6, 8, 7, 10, 14, 13, 6, 5, 7, 8, 10, 13, 6, 7
Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.
What is Central Tendency?A central tendency is a central or typical value for a probability distribution. Colloquially, measures of central tendency are often called averages. The term central tendency dates from the late 1920s. The most common measures of central tendency are the arithmetic mean, the median, and the mode.
Here, Given data
x f xf
5 1 5
6 4 24
7 3 21
8 2 16
10 2 20
13 2 26
14 1 14
Mean = ∑xf/∑f
= 126/15
= 8.4
Median = 7
Mode = 6
Thus, Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.
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5. When will the rock be 125 feet above the beach?
b. What is the maximum height reached by the rock and how many seconds did it take for the rock
to reach that height?
The height of the rock is described by the quadratic equation:
h = -16t² + 79t + 50.
a. The rock will be 125 feet above the beach for approximately 3.66 and 1.28 seconds.
b. The rock will reach its maximum height in about 2.5 seconds, reaching a height of around 147.5 feet.
A quadratic equation is what?An equation of the form f(x) = ax² + bx + c, where a 0 and a, b, and c are numbers, is a quadratic equation.
a. The following is how the rocket's height function is presented:
h(t) = -16·t² + 79·t + 50
The time at which the height is 125 feet is as follows:
h(t) = 125 feet
h(t) = 125 = -16·t² + 79·t + 50
-16·t² + 79·t + 50 - 125 = 125 - 125 = 0
-16·t² + 79·t - 75 = 0
The quadratic formula indicates:
t = (-79 ± √(79² - 4 × (-16) ×(-75)))/(2 × (-16)) = (79 ± √(1441))/32
t = (79 ± √(1441))/32
t = (79 + √(1441))/32 ≈ 3.66
t = (79 - √(1441))/32 ≈ 1.28
Therefore, the times at which the height of the rock is 125 feet above the beach are t ≈ 3.66 seconds, and t ≈ 1.28 seconds.
b.The formula for determining the input value at the maximum value of a quadratic function, which is: at the maximum height, x = -b/2a, can be used to determine the time at which the rock is at the maximum height.
Consequently, we obtain at the highest height;
t = -79/(2 (-16)) = 2.46875 is the time.
The rock climbs to its highest point in 2.46875 seconds, or 2.5 seconds.
Hence, h (2.46875) = -162.46875² + 792.46875 + 50 = 147.515625 147.5 is the maximum height.
The rock can rise up to a height of approximately 147.5 feet.
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I’m a little confused.
Answer:
about 27 degrees
Step-by-step explanation:
all you do is 10 minus the negative 17 which two negative equal a positive so its then 10 +17 which equals 27
Jessica is making glittery paper chains for a holiday party. This list shows how much glitter
she used for each paper chain.
PLEASE HELPP!!!!
Answer:
6 1/4
Step-by-step explanation:
1. The question is asking if you combined all the glitter from the paper chains that used 1 1/4 ounces, how much glitter would there be in total.
2. To find all the glitter from the paper chains that utilized 5/4 or 1 1/4 ounces, you multiply 5/4 by 5 because according to the line plot, there were 5 paper chains with 5/4 ounces of glitter.
3.
\(\frac{5}{4} * 5\) \(\frac{25}{4}\) \(6 \frac{1}{4}\)Therefore, if you combined all the glitter from the paper chains that used exactly 1 1/4 ounces, you'd get 6 1/4 ounces.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
The students at Southern Junior high School are divided into four home rooms. Benjamin just moved into the school district and will be randomly assigned to one home room
Answer:
A 4 side dice.
Step-by-step explanation:
Benjamin has 4 possible homerooms with the same probability. This means that every homeroom has a 1/4 = 0.25 (or 25%) probability of getting chosen.
You could emulate this situation with a 4 sided dice (are like little pyramids) where each side of the dice would represent the selection of one of the homerooms.
find the value of x and the measure of angle axc
Answer:
x = 4
m<AXC = 150
Step-by-step explanation:
m<1 + m<2 = m<AXC
102 + 10x + 8 = 6(6x + 1)
10x + 110 = 36x + 6
26x = 104
x = 4
m<AXC = 6(6x + 1)
m<AXC = 6(24 + 1)
m<AXC = 150
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.
What’s 5/6 - 8/12? Need it reduced
Answer:1/6
Step-by-step explanation:
Make sure the bottom numbers (the denominators) are the same.
Subtract the top numbers (the numerators). Put the answer over the same denominator.
Simplify the fraction (if needed).
For each of the 4 walls of the house, John will need 9 large
planks of wood. If each plank of wood needs 8 pieces of nails
to be secured, how many nails does John need for each wall
of the house?
What's the Area for each shape?
Answer:
\((6 \times 5) + (2 \times 3) \\ 30 + 6 \\ = 36cm^{2} \)
What's the solution to the following linear system?
y = 4x + 1
y = 4x
Question 4 options:
(−2, 3)
(4, 0)
Infinitely many solutions
No solution
Answer:
No solution
Step-by-step explanation:
4x = 4x + 1
0 unequal to 1
Answer: D. No solution
please mark Brainliest :)
Simplify the expression: 2(3 + 10u) =
2/3 - 3/5, simplifiy
Answer:
1/15
Step-by-step explanation:
decimal 0.06
if correct plz mark as brainliest
thank you
19NBoli
Answer:
that would half to equal 0.066
Step-by-step explanation:
A restaurant bill is $78 for 8 people. If the bill is divided evenly, how much must each
person pay? Use long division and show your work.
Answer:
$9.75
Step-by-step explanation:
I divided $78 by 8 people and that is how I got this answer.
‼️PLEASE HELP MY FINAL IS TODAY‼️‼️‼️
9. Determine mzB. Round to the nearest degree.
35
C
B
a.
34°
43°
C. 47°
d. 56°
b.
24
Answer:
The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.
Solve the equation. Please help
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
Jessica earned $14 by baby sitting 4 hours
What's Jessica rate and Jessica's Unit Rate?
Answer:
$3.50
Step-by-step explanation:
14 ÷ 4 = 3.5
good luck, i hope this helps :)