Answer:
-10x
Step-by-step explanation:
-2x-4=-6x
-4-6x = -10x
Answer:
x = -2
Step-by-step explanation:
To solve for x:
Equation: -4(-2x - 4) = -8x - -16-8x - -16 = -8x + 16Divide each side by -8 so it now looks like this: x = -2Therefore, x equals -2.
To simplify the equation:
-2x - 4 = -6x-4(-6x) = 24xPLZ HELP ME ASAP!!!!
Answer:
33.05°
Step-by-step explanation:
The diagram above is a right angled triangle.
To solve for this question, we would be making use of the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse
From the above diagram,
Opposite side = 162.5 yards
Hypotenuse = 298 yards
θ = unknown
sin θ = 162.5 yards/298 yards
sin θ = 0.5453020134
θ = arc sin(0.5453020134)
θ = 33.045304587°
Approximately
θ = 33.05°
Simplify the following Questions. (IMPORTANT NOTE!!! #'s 2 AND 7 MUST BE IN SCIENTIFIC NOTATION!!!!!) 1.) (x)²(2xy³)^5 2.) (4x10^8)^2 3.) (-h^4)^5 4.) (3xy³)²(xy)^6 5.) (p^9)^-2 6.)(5k²)³ 7.)(7x10^5)² 8.)(x)³(-x³y)² 9.)w^5(w²)^-4 10.) (2x^5)^4
Answer:
Step-by-step explanation:
Hint :
[tex](a*b)^{m}= a^{m}b^{m}\\\\\\(a^{m})^{n}=a^{mn}\\\\\\a^{m}*a^{n}=a^{m+n}\\[/tex]
[tex]1)x^{2}(2xy^{3})^{5}=x^{2}*2^{5}*x^{5}*(y^{3})^{5}\\\\\\=x^{2}*2^{5}*x^{5}*y^{3*5}\\\\=x^{2}*2^{5}*x^{5}*y^{15}\\\\=2^{5}*x^{2+5}*y^{15}\\\\=2^{5}x^{7}y^{15}[/tex]
[tex]2) (4x10^{8})^{2}=4^{2}*x^{2}*(10^{8})^{2}\\\\=16*x^{2}*10^{8*2}\\\\=1.6*10*x^{2}*10^{16}\\\\=1.6x^{2}*10^{16+1}\\\\=1.6x^{2}10^{17}[/tex]
[tex]3)(-h^{4})^{5}=(-h)^{4*5}=-h^{20}\\\\\4)(3xy^{3})^{2}(xy)^{6}=3^{2}x^{2}(y^{3})^{2}x^{6}y^{6}\\\\=9x^{2}y^{3*2}x^{6}y^{6}\\\\\\=9x^{2}y^{6}x^{6}y^{6}\\\\=9x^{2+6}y^{6+6}\\\\=9x^{8}y{12}\\\\\\[/tex]
[tex]5) (p^{9})^{-2}=p^{9*-2}=p^{-18}\\\\\\6)(5k^{2})^{3}=5^{3}(k^{2})^{3}=625k^{6}\\\\7)(7x10^{5})^{2}=7^{2}x^{2}(10^{5})^{2}\\\\=49x^{2}10^{5*2}\\\\=4.9*10^{1}x^{2}10^{10}\\\\=4.9x^{2}10^{10+1}\\\\=4.9x^{2}10^{11}[/tex]
[tex]8)x^{3}(-x^{3}y)^{2}=x^{3}*(-x^3})^{2}y^{2}\\\\\\=x^{3}*(-1)^{2}*x^{2*3}y^{2}\\\\=x^{3}*1*x^{6}y^{2}=x^{3+6}y^{2}\\\\=x^{9}y^{2}\\\\\\9)w^{5}(w^{2})^{-4}=w^{5}w^{2*-4}\\\\=w^{5}w^{-8}\\\\=w^{5-8}=w^{-3}\\\\=\frac{1}{w^{3}}\\\\\\10) (2x^{5})^{4}=2^{4}x^{5*4}\\\\=2^{4}x^{20}\\\\=16x^{20}[/tex]
3 2/3 + 2.3 (the three is repeating) and the answer choices are
a) 5
b) 5 2/3
c) 6
d) 6 1/3
i need help please :/
Answer: C) 6
================================================
Explanation:
2.33333... where the 3s go on forever is the same as 2 + 1/3 or 2 & 1/3
So we really have 3 & 2/3 added onto 2 & 1/3
The fractional portions add to 2/3 + 1/3 = 3/3 = 1, which will carry over.
The whole number portions add to 3+2 = 5, and we add on the carry of 1 to get 5+1 = 6
--------------
Using your calculator
3 & 2/3 = 3 + 2/3 = 3 + 0.667 = 3.667 approximately
adding this onto 2.333 leads to
3.667 + 2.333 = 6
Technically the 6's go on forever in the decimal form of 3 & 2/3, but rounding wont have an effect on the answer when we add
The sum of the given fraction is 6. Therefore, option C is the correct answer.
Given that, 3 2/3 + 2.3333....
We need to find the sum of the given fractions.
How to find the sum of fractions?To add fractions follow these steps:
Step 1: Make sure the bottom numbers (the denominators) are the same.
Step 2: Add the top numbers (the numerators), and put that answer over the denominator.
Step 3: Simplify the fraction (if possible).
Now, 2.3333.... can be written as
x=2.333.... ------(1)
10x=23.333.... ------(2)(Multiply by 10 to both sides of the equation)
Subtract equation (1) from (2)
That is, 10x-x=23.333.....-2.333......
⇒9x=21
⇒x=21/9
⇒x=7/3
⇒x=2 1/3
Now, 3 2/3 + 2 1/3
=(3+2) 2/3 + 1/3
=5 3/3
=5+1=6
The sum of the given fraction is 6. Therefore, option C is the correct answer.
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It takes Zina 1 hours to build a model skyscraper and Rachel 3 hours to do the
same job. It will take hours to build a model skyscraper working
together?
(ignore this answer, i cant delete it srry..)
Answer:
It takes them 45 minutes
Step-by-step explanation:
Let's say that x is the amount of work in one hour that zina does
so the amount of work that rachel does in the same hour is 1/3x, because 3 times slower
so we have
x+1/3x=100%
what does that mean?
it means the amount of hours taken to complete a skycraper
so we solve for x
x=75%
so we need to figure out how much hours does zina takes to complete 75% of the skycraper
1 hour ----- 100%
x hours ---- 75%
1 hour *75%/100%=x hours
1 hour (3/4)=x hours
60 minutes (3/4)= x minutes
x=45 minutes
is this a rhombus? see attachment
Answer: No, it is not a rhombus
Why not? This is because we do not have all four sides the same length.
DE is longer than EF, due to the opposite angles being larger. The rule is: the larger the angle, the longer the opposite side will be.
Find the slope and then write the slope as a simplified fraction
A) (-6,3) (9,7)
B)(4,-10)(-2,-6)
Answer:
slope: (y² - y¹) / (x² - x¹)
(-6, 3) (9, 7)
(7 - 3) / (9 + 6) = 4 / 15
y = 4/15x + b
slope: (4/15)x
(4, -10) (-2, -6)
(-6 + 10) / (-2 - 4) = 4 / -6 = 2 / -3
y = (-2/3)x + b
slope: (-2/3)x
Use braces and digits to designate the set of natural numbers.
Answer:
[tex]N = \{1,2,3,4,5,6,.....\}[/tex]
Step-by-step explanation:
Required
Determine the sets of natural number
Represent this set with letter N
From definition of natural numbers, they are integer numbers starting from 1;
In other words: 1,2,3,4,5, and so on.
To represent this as a set of N, we have
[tex]N = \{1,2,3,4,5,6,.....\}[/tex]
The ..... means that the counting still continues
Miguel Rodriguez borrowed $300 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.5%.
Answer:
Simple Interest = 9.75
Total Amount needed to payback = 309.75
Step-by-step explanation:
SI = P x R x T / 100
SI = Simple Interest
P = Principal
R = Rate in years
T = Time
SI = 300 x 1/2 x 6.5 /100
=> SI = 3 x 1/2 x 6.5
=> 1.5 x 6.5
=> 9.75
Total Amount needed to payback = Principal + Simple Interest
=> Total Amount needed to payback = 300 + 9.75
=> Total Amount needed to payback = 309.75
f(2)= can someone let me know what the answer is
Answer:
-2
Step-by-step explanation:
f(2) is the value of the function when x = 2.
Look in the graph. When x = 2, the point on the graph has coordinates (2, -2).
f(2) = -2
In 1940, the average size of a privately owned farm in a particular country was 171 acres. In a recent year, the average size of a privately owned farm in the country had increased to 446 acres. What is this percent increase
Answer:
There is 160.81 % of increase.
Step-by-step explanation:
Given that,
The average size of a privately owned farm in a particular country was 171 acres.
Now, the average size of a privately owned farm in the country had increased to 446 acres.
We need to find the percent increase.
[tex]\%=\dfrac{\text{increase}}{\text{original}}\times 100\\\\\%=\dfrac{446-171}{171}\times 100\\\\\%=160.81\%[/tex]
So, there is 160.81 % of increase.
Sally begins hiking at an elevation of 224 feet. Then, she descends 131 feet
and climbs 67 feet higher than her current position. She then descends
163 feet. Write an addition sentence to describe the situation. Then determine
and interpret the sum.
Answer:
-3 feets
Step-by-step explanation:
Given the following :
Starting point = 224 feets
Then descends 131 feets
Then climbs 67 feets higher than her current position
Then descends 163 feets
Addition sentence to describe the situation :
224feets + (-131)feets + 67feets + (-163)feets
Negative (-) points represents descent
224feets - 131feets + 67feets - 163feets = - 3feets
This means Sally is - 3 feets below her initial position.
Solve the inequality and enter your solution as an inequality in the box below, using "" for if necessary. 8 >4-x>6
Answer:
-4 < x < -2
Step-by-step explanation:
8 > 4 - x > 6
4 > -x > 2
-4 < x < -2 (flip the sign when multiplying / dividing by a negative number)
20 POINTS! A book sold 39,200 copies in its first month of release. Suppose this represents 7.1% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.
the expression 12xyz-45 is a a. monomial b. binomial c. trinomial d. constant
Answer:
Hey there!
12xyz-45 is a binomial. A binomial contains two terms.
Let me know if this helps :)
Describe and correct the error a student made when solving the equation 7=-4(x+7)-3+2x. What is the correct solution?
Answer:
7=-4(x+7)-3+2x
BODMAS
7=-4x-28-3+2x
7=-2x-31
7+31=-2x
x=38/2
x= -19
5,
5,
6,
8,
11,
What is the next number
3 is what my answer was
============================================
Explanation:
From 5 to 5, we add 0
From 5 to 6, we add 1
From 6 to 8, we add 2
From 8 to 11, we add 3
Assuming this pattern keeps up, the next term is found by adding 4.
So 11+4 = 15 is the next term.
Please help ASAP PLEASE
Jane is trying to decide between two savings account plans. Plan A offers a
quarterly compounded interest rate of 0.15%, while Plan B offers 0.5% interest
compounded annually. Which is the better plan? By how much?
Answer:
The answer is below
Step-by-step explanation:
The compound interest is given by the formula:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\Where\ A \ is\ the\ final \ amount, P\ is\ the \ principal\ or \ initial\ amount,r\ is\ the\ rate\\n\ is\ the\ number\ of \ times\ compounded\ per\ period\ and \ t\ is\ the\ number\ of\ periods.\\[/tex]
For the same amount of principal (P) for both plan A and B:
Plan A offers a quarterly compounded interest rate of 0.15%. That is r = 0.15% = 0.0015, n = 4. Therefore:
[tex]A_a=P(1+\frac{0.0015}{4} )^{4t}\\\\A_a=P(1+0.000375)^{4t}\\\\A_a=P(1.000375)^{4t}[/tex]
Plan B offers annual compounded interest rate of 0.5%. That is r = 0.5% = 0.005, n = 1. Therefore:
[tex]A_b=P(1+\frac{0.005}{1} )^{t}\\\\A_b=P(1.005)^{t}\\\\The\ ratio\ of\ their\ interest:\\\\\frac{A_a}{A_b} =\frac{P(1.000375)^{4t}}{P(1.005)^{t}} \\\\\frac{A_a}{A_b} =\frac{(1.000375)^{4t}}{(1.005)^{t}} \\\\For\ the\ same\ time\ period\ of\ one\ year(t)=1\\\\\frac{A_a}{A_b} =\frac{(1.000375)^{4(1)}}{(1.005)^{1}} \\\\\frac{A_a}{A_b} =\frac{1.0015}{1.005} \\\\A_b=\frac{1.005A_a}{1.0015}\\ \\A_b=1.003A_b[/tex]
Plan B is the better plan, it is greater by a factor of 1.003
A bat and ball cost $1.10.
The bat costs one dollar mire than the ball.
How much does the ball cost?
Answer: Hi!
We already know that we can subtract a dollar from the total, because the bat is a dollar more than the ball. However, there's one more step! We have to divide the cost left, 10 cents, by 2 as well, because the bat is a dollar more than the ball, and if we said that the answer was a dollar, we would be wrong, because there would be 10 cents left as the cost of the ball - and if the bat was a dollar more than the ball, then the bat would be $1.10 and the total cost would be $1.20. 10 divided by 2 is 5, so the ball is 5 cents and the bat is $1.05.
Hope this helps!
5 cents
as the ball costs 5 cents the bat costs $1.05
Ben earns $13 per hour at Starbucks. When he works overtime, he earns time and a half. What is his regular pay for 40 hours of work?
Answer:
$520
Step-by-step explanation:
Ben earns $13 per hour of regular work
He gets for 40 hours of regular work:
$13*40 = $520Answer is $520
Section B
1. In the adjoining figure find out perpendicular, base and
hypotenuse from the given right-angled triangle with a and
B as the reference angles. Also give your reason.
a
nto
B
С
B.
D
Answer/Step-by-step explanation:
Using α as reference angle:
Perpendicular side = BC (one of the legs that adjoins to form a right angle. It is opposite to the reference angle.)
Base side = AB (The other leg that forms a right angle with the perpendicular side at the adjoining point. It is adjacent to the reference angle)
Hypotenuse = AC (the side opposite to the right angle, 90°)
Using β as reference angle:
Perpendicular side = AB (one of the legs that adjoins to form a right angle. It is opposite to the reference angle.)
Base side = BD (The other leg that forms a right angle with the perpendicular side at the adjoining point. It is adjacent to the reference angle)
Hypotenuse = AD (the side opposite to the right angle, 90°)
Write 830,040 in expanded form with exponents.
830,040 = (8 x 105) +
(Use the operation symbols in the math palette as needed.)
Answer:
See below
Step-by-step explanation:
[tex]830040 \\ = (8 \times 100000) + (3 \times 10000) + (4 \times 10) \\ = 8 \times {10}^{5} + 3 \times {10}^{4} + 4 \times {10}^{1} \\ [/tex]
Which of the following does not describe a control group? O A. a group of patients given a new drug B. a group of patients given a placebo O C. a group of trees not given a new growth hormone O D. a group of students not given a new software package
Answer:
the answer = C (may be but not sure)
Answer:
The answer has to be A
Step-by-step explanation:
The trees have nothing changed about them, so they can be considered to be the control. In additon, placebo is given as a control in medical trials, so it cannot be correct. And, the students have nothing changed in D, so the answer to this question has to be A, where the patients are given a new drug.
The function y = (x - 4)2 + 3 is a transformation of the function y = x?. How is the function's vertex affected by the
transformation?
The vertex of the graph of y = x? is shifted to the left 4 units and down 3 units.
The vertex of the graph of y = x? is shifted to the left 3 units and down 4 units.
The vertex of the graph of y = x is shifted to the right 3 units and up 4 units.
The vertex of the graph of y = x?is shifted to the right 4 units and up 3 units.
Answer: The vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units
Step-by-step explanation:
Option (D) the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units is the correct answer.
What is graph of a function?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The function y = (x - 4^)2 + 3
Plot the graph on substituting the function [tex]y=x^{2}[/tex] as shown in the graph below.
On comparing the two functions, the transformation of the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units.
Thus the function y = (x - 4)^2 + 3 is a transformation of the function y = x^2.
Hence we can conclude that option (D) the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units is the correct answer.
Learn more about graph of a function here
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Evaluate the function. f(x) = -x2 - 6x + 12 Find f(4)
Answer:
f( 4 ) = - 28Step-by-step explanation:
f(x) = - x² - 6x + 12
To find f(4) substitute the value of x that's 4 into the expression above and solve.
That's
f( 4) = - (4)² - 6(4) + 12
= - 16 - 24 + 12
= - 40 + 12
We have the final answer as
f(4) = - 28Hope this helps you
what is the answer to this exponent 6*6*6*6*6
Answer:
6^5 or 7776
Step-by-step explanation:
6^5 because 6 is multiplied with 6, 5 times. So, it is 6^5.
We can also simplify this number.
=> 6 x 6 x 6 x 6 x 6
=> 36 x 36 x 6
=> 36 x 216
=> 7776
The total money earned if Lee sold four scarves at twenty dollars each.
Answer:
$80
Step-by-step explanation:
If we have four scarves, and each costs $20, we can multiply these two numbers to find the total profit made.
[tex]20\cdot4[/tex]
2 times 4 is 8, and adding a 0 to that is 80.
Hope this helped!
Ben wants to buy a new car stereo and he has already saved some money. He used this inequality to represent the amount he still has to save to be able to buy the stereo, where a represents the amount still left to save. A + 212 greater-than-or-equal-to 365 If Ben saves $15 a week for the next 10 weeks, will he be able to buy the stereo and why? No, because he needs to save at least $153, and he will only save $150 over the next ten weeks. No, because he needs to save $577, and he will only save $150 more. Yes, because he has already saved $365, and the stereo cost $212. Yes, because he has already saved $212, and he will save another $150.
Answer:
No, because he needs to save at least $153, and he will only save $150 over the next ten weeks.
Step-by-step explanation:
In case when ben wants to save $15 for a week and the total number of weeks is 10 so the total saving amount is $150. Now if the cost of a stereo is less than the total of saving amount so he is confident to purchase the stereo.
Now if the amount that required to be saved is represented by a is more than $150 so he is unable to purchase a stereo
Hence, the correct option is a.
Answer:
Step-by-step explanation:
Using the equation, A + 212 ≥ 365
No, because he needs to save at least $153, and he will only save $150 over the next ten weeks.
What is the coefficient of y in the expression 1 ⋅ 4 + 7y?
Answer:
7
Step-by-step explanation:
The coefficient of a variable is simply the number it's being multiplied by or the number that is in front of it. In this case, the coefficient of y is 7.
The sum of 4 consecutive even integers is 180. What are the integers? (Detailed Explanation)
Answer:
Step-by-step explanation:
Let the consecutive even numbers be 2n , (2n + 2) , (2n +4), (2n + 6)
2n + 2n+2 + 2n+4 + 2n+6 = 180
Add like terms
2n + 2n + 2n + 2n + 2 + 4 + 6 = 180
8n + 12 = 180
Subtract 12 from both sides
8n + 12 - 12 = 180 - 12
8n = 168
Divide both sides by 8
8n/8 = 168/8
n = 21
2n = 2*21 = 42
2n + 2= 2*21 +2 = 42 +2 = 44
2n +4 = 2*21 + 4 = 42 + 4 = 46
2n +6 = 2*21 + 6 = 42 + 6 = 48
The 4 consecutive even integers: 42, 44 , 46 , 48
cos x° = sin(3x+10°) find tan x°
Answer:
Step-by-step explanation:
we can write sin(3x+10)= cos{90-(3x+10)}
now
cosx= cos{90-(3x+10)}
eliminating cos from both sides we get
x=90-3x-10
4x=80
x=20
tan 20=0.364
it can be 40 also if we take the sin part