2x³ - 1 = 53 Please include explanation if possible.
A company employs 12 gardeners at $26 per day,
and 8 clerks at $17 per day. What is the mean
daily wage, in dollars, of the 20 employees?
(A) $20.00
(B) $21.50
(C) $22.40
(D) $31.50
Express the ratio below in its simplest form. 18:9
Answer:
2:1Step-by-step explanation:
[tex]18 :9\\\frac{18}{9} \\Use -3- to- divide- through\\= \frac{2}{1} \\= 2:1[/tex]
solve for q.
5q + 2p + 4 = 3q – 8
Answer:
q = -p-6
Step-by-step explanation:
=> 5q+2p+4 = 3q-8
(Combining like terms)
=>5q-3q = -2p-8-4
=> 2q = -2p -12
=> 2q = 2(-p-6)
Dividing both sides by 2
=> q = -p-6
[tex]q = - p - 6[/tex]
[tex]5q + 2p + 4 - 3q = - 8 \\ 2q + 2p + 4 = - 8 \\ 2q + 4 = - 8 - 2p \\ 2q = - 8 - 2p - 4 \\ 2q = - 12 - 2p \\ \frac{2q}{2} = \frac{ - 2p - 12}{2} \\ q = \frac{ - 2p - 12}{2} \\ q = - p - 6[/tex]
2p+8=20-p what is the value of p??
Answer:
4
Step-by-step explanation:
3p+8=20
3p=12
p=4
Answer:p=4
Step-by-step explanation:
2p+8=-p+20
Step 2: Add p to both sides.
2p+8+p=-p+20+p
3p+8=20
Step 3: Subtract 8 from both sides.
3p+8-8=20-8
3p=12
Step 4: Divide both sides by 3.
3p/3=12/3
p=4
What is the area of the right triangle below?
12
15
Answer:
90 units^2
Step-by-step explanation:
Area of a triangle = 1/2 x b x h
assuming that 12 and 15 are its measurements,
I am going ahead with:
1/2 x 12 x 15 = 1/2 x 180 = 90units^2
since cm or m is not given I have written units. Please change accordingly.
Hope this helps
The product of 3 and a number is 33. What is the number?
Answer:
11
Step-by-step explanation:
3x = 33
x = 33/3
x = 11
Answer:
The number is 11
Step-by-step explanation:
Product means multiply, is means equals
3 * n = 33
Divide each side by 3
3n/3 = 33/3
n = 11
Your teacher puts four slips of paper in a jar, each with a different shape. Every day,
each person chooses one paper from the jar to determine what activity they get to do
at the end of the day. After choosing, the paper is always returned to the jar.
What is the probability of choosing the paper with a circle on it?
CLEAR
CHECK
%
Answer:
The answer would be a 25% chance of picking the paper with a circle on it
Step-by-step explanation:
Since there are 4 pieces of paper there would be a 25% chance for each 25 x 4 is 100.
Here is a list of numbers.
13 27 81 21 43 48 23 39 45
From this list, write down
a) The even number.
48
b) The square number.
81
c) All the prime numbers.
Answer:
13,27,43,23,39.
i think these r the prime numbers
The prime numbers are:
13, 43, 23
The graph of the function is shown below: f(x) = 4 * 3^x
Select the best answer from the choices provided:
-T
-F
Answer:
-T
Step-by-step explanation:
Im not the greatest at math but thats what i got.
Answer: true.
Step-by-step explanation:
just took the test
Simplify (3^-2)^4
Arrows mean it’s a exponent .
A.) 1/3^2
B.) 3^8
C.) 3^2
D.) 1/3^8
Answer:
D
Step-by-step explanation:
Answer:
D)1/3^8
Step-by-step explanation:
(3^-2)^4
3^-8
1/3^8
3 raised to the power of 8
1/6561 or 1/3^8
Maria, Max, Molly, and Mitch are all picking apples at an orchard. The number of apples Max picks is the number of apples Maria picks squared. Molly picks the number of apples that Max and Maria pick combined. Mitch picks the number of apples Molly picks squared plus the number of apples that Maria picks. If Maria picks 3 apples, then how many apples does Mitch pick
Answer:
147
Step-by-step explanation:
Given: Maria=3
Max=3 squared=9
Molly=Max+Maria=9+3=12
Mitch=Molly squared+Maria=144+3=147
Hope this helps!
Solution:
Since Max picks the number of apples that Maria does but squared, then Max picks 3^2=3 * 3=9 apples. Since Molly picks the number of apples that Maria picks plus the number that Max picks, Molly picks 3+9=12 apples. Finally, Mitch picks the number Molly picks squared plus the number Maria picks, so Mitch picks 12^2+3=12 * 12 +3=144+3=147 apples.
Solve 2cos ²y -siny -1=0 for 0° ≤y≤360°
[tex]\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0[/tex]
.
[tex]\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}[/tex]
somebody help me please
Answer:
Y-x=0
i got it right on the lesson
Answer:
the last option is the answer
Step-by-step explanation:
test with point (1,1)
-x-y = 0
-1-1 ≠ 0
-2 ≠ 0
test with point (5,5)
-x-y = 0
-5-5 ≠ 0
-10 ≠ 0
Write as an expression: Twice the square of the product of x and y
Answer:
2* (xy)^2
Step-by-step explanation:
First find the product of x and y
xy
The square it
(xy)^2
The twice it ( multiply by 2
2* (xy)^2
ditermine the maximum value of y=2x^2-36x+130
Answer:
dsffoppo
Step-by-step explanation:
sg785 suuwooo
Which expression could be converted into a terminating decimal number?
Answer:
D
Step-by-step explanation:
[tex]\dfrac{\sqrt{4}}{\sqrt{25}}= \\\\\\\dfrac{2}{5}= \\\\\\0.4[/tex]
Hope this helps!
Can someone help me with the below question???
Answer:
so 2a+3b=±13
Step-by-step explanation:
4a²+9b²=97
ab=6
2a+3b=?
by using formula
(a+b)²=a²+b²+2ab
(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)
(2a+3b)²=4a²+9b²+12ab
putting values
(2a+3b)²=97+12(6)
(2a+3b)²=97+72
(2a+3b)²=169
taking square root on both sides
√(2a+3b)²=√169
2a+3b=±13
i hope it will help you
Answer:
2a+3b = 13
Step-by-step explanation:
Using this formula
[tex](x+y)^2 = x^2+y^2+2xy[/tex]
Where,
x = 2a and y = 3b
Putting in the above formula
=> [tex](2a+3b)^2=4a^2+9b^2+12ab[/tex]
Putting 4a²+9b² = 97 and ab = 6
=> (2a+3b)² = 97+12(6)
=> (2a+3b)² = 97+72
=> (2a+3b)² = 169
Taking sqrt on both sides
=> 2a+3b = 13
Aria and her children went into a bakery and will buy donuts and brownies. She must buy at least 6 donuts and brownies altogetherWrite an inequality that would represent the possible values for the number of donuts purchased, d, and the number of brownies purchased, b.
Answer:
Inequality for donuts and brownies is;
d ≥ 1 ≤ b
Step-by-step explanation:
We are told that aria will buy donuts and brownies.
We are also told that, number of donuts is d while number of brownies is b.
We are also told that she must by at least a total of 6 donuts and brownies together. Which means that the sum of d and b must not be 6 or greater than 6.
So the inequality will be;
d + b ≥ 6
Thus, for the donut and brownies, inequality would be; d ≥ 1 ≤ b
Answer: d+b≥6 is the correct answer trust me
expand 2x - 5 and x-3
Answer:
2x^2 - 11x + 15
Step-by-step explanation:
Expand 2x - 5 and x - 3 means that the algebraic expressions be multiplied.
(2x - 5)(x - 3)
x(2x - 5) -3(2x - 5)
2x^2 - 5x - 6x +15 = 2x^2 - 11x + 15
A box contains red, purple and green beads in the ratio 4:6:7 There are 1428 more green beads than red beads.
How many green beads are in the box?
Answer:
3332 green beads
Step-by-step explanation:
There are 1428 more green beads than red beads.
There are 3,332 greed beads in the box
Given :
A box contains red, purple and green beads in the ratio 4:6:7
From the given ratio,
number of red beads = 4x
number of purple beads= 6x
number of green beads= 7x
There are 1428 more green beads than red beads.
green beads =1428 + red beads
[tex]7x=1428+4x\\3x=1428\\x=476[/tex]
we know that number of green beads= 7x
number of green beads= [tex]7(476)=3332[/tex]
There are 3,332 greed beads in the box
learn more : brainly.com/question/20318626
If x/y + y/x = -1 , find the value of x^3 - y^3
Answer:
0
Step-by-step explanation:
Multiplying the first equation by xy, we have ...
x^2 +y^2 = -xy
Factoring the expression of interest, we have ...
x^3 -y^3 = (x -y)(x^2 +xy +y^2)
Substituting for xy using the first expression we found, this is ...
x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0
The value of x^3 -y^3 is 0.
Find the area of a triangle that has a base of 6 foot in the height of 5 foot
Answer:
15 ft²
Step-by-step explanation:
Area of a Triangle Formula: 1/2bh
We are given b and h. Simply plug them in and calculate:
1/2(5)(6)
3(5)
15
please help me for the brainliest answer
Answer:
aₙ= -2n²
Step-by-step explanation:
Solution 1:The sequence:
-2, -8, -18, -32, -50The difference between the terms:
-6, -10, -14, -18a₁= -2a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)...aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²As per above, the nth term is: aₙ= -2n²
Solution 2The sequence:
-2, -8, -18, -32, -50-2*1, -2*4, - 2*9, -2*25-2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²aₙ= -2n²2/7 · x = 1/11 please help!!!!
Answer:
x=[tex]\frac{7}{22}[/tex]
Step-by-step explanation:
To solve for x, you need to isolate it. The first step is dividing by [tex]\frac{2}{7}[/tex] on both sides. Dividing by a fraction is just like multiplying by the reciprocal, so really you are multiplying both sides by [tex]\frac{7}{2}[/tex]. [tex]\frac{1}{11}[/tex] × [tex]\frac{7}{2}[/tex] =[tex]\frac{7}{22}[/tex]
What is an expression equivalent to
8
with a denominator of 11d.
11
Answer: 88/11.
Step-by-step explanation:
We want to find a expression, with a denominator of 11, that is equivalent to 8.
remember that if we have the expression A/B
the numerator is A, and the denominator is B.
Then we have:
A/11 = 8
we need to find the value of A.
To do this, we can multiply by 11 in both sides of the equation:
(A/11)*11 = 8*11
A = 88
Then the expression is:
88/11.
Solve for a. 1/4(20−4a)=6−a 0 all real numbers −1 no solution
Answer:
No solution
Step-by-step explanation:
=> [tex]\frac{1}{4} (20-4a) = 6-a[/tex]
=> [tex]\frac{1}{4} *4(5-a) = 6-a[/tex]
=> [tex]5-a=6-a[/tex]
Adding a to both sides
=> [tex]5-a+a=6-a+a[/tex]
=> 5 ≠ 6
So, this equation has no solution.
Find the volume of a prism that is 5 m long, 40 cm wide, and 2500 mm high.
Answer:
5.0 [tex]m^3[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given as:
V = L * W * H
where L = length
W = width
H = height
Put all the dimensions in the same unit, metre (m).
Length = 5 m
Width = 40 cm = 40 / 100 = 0.4 m
Height = 2500 mm = 2500/1000 = 2.5 m
The volume of the prism is:
V = 5 * 0.4 * 2.5 = 5.0 [tex]m^3[/tex]
Calculate the lateral area of a right prism with a heptagon base side of 4 feet and a
height of 10 feet.
Answer:
280 ft2
Step-by-step explanation:
The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.
The area of one of these rectangles is:
[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]
Then, the area of the seven rectangles is:
[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]
So the lateral area of this prism is 280 ft2.
What is the vertex form of the quadratic function that has a vertex at (2, 1)
and goes through the point (3,-2)?
Answer:
The function is y=-2(x-2)²+3
Step-by-step explanation:
All work is attached :)
please mark me brainliest :)