Answer:
[tex]4.\\\text{E. }x=5, x=-6,\\\\5.\\\text{A. }x=7, x=-3\\\\\text{18.}\\\text{D. No mistakes.}[/tex]
Step-by-step explanation:
For [tex]a=|b|[/tex], there are two cases:
[tex]\begin{cases}a=b,\\a=-b\end{cases}[/tex]
Question 4:
Given [tex]5|2x+1|=55[/tex],
Divide both sides by 5:
[tex]|2x+1|=11[/tex]
Divide into two cases and solve:
[tex]\begin{cases}2x+1=11,2x=10, x=\boxed{5}\\-(2x+1)=11,2x+1=-11, 2x=-12, x=\boxed{-6}\end{cases}[/tex]
Therefore, the solutions to this equation are [tex]\boxed{\text{E. }x=5, x=-6}[/tex].
Question 5:
Given [tex]\frac{1}{2}|4x-8|-7=3[/tex],
Add 7 to both sides:
[tex]\frac{1}{2}|4x-8|=10[/tex]
Multiply both sides by 2:
[tex]|4x-8|=20[/tex]
Divide into two cases and solve:
[tex]\begin{cases}4x-8=20,4x=28, x=\boxed{7}\\-(4x-8)=20, 4x-8=-20, 4x=-12, x=\boxed{-3}\end{cases}[/tex]
Therefore, the solutions to this equation are [tex]\boxed{\text{A. }x=7, x=-3}[/tex]
Question 18:
There are no mistakes in the solution shown. The answer properly isolates the term with absolute value with no algebraic mistakes. Following that, the answer divides the equation into both absolute value cases and solves algebraically correctly. Therefore, the correct answer is [tex]\boxed{\text{D. No mistakes.}}[/tex]
convert f(x) = 5x(x – 6) to standard form
Answer:
[tex]5x^{2} - 30x[/tex]
Step-by-step explanation:
NEED HELP ASAP!!!!!!!
Date: Pages The recent price of a car is Rs. 10.00,000: If its price reduces by to1 yearly after how many year its price will be Rs 7, 29,000?
Answer:
729000 year it's price will Rs 729000
Which of these products is negative? Select all that apply.
-8 ÷ (-3)
-2 ÷ 8
0 ÷ (-2)
15 ÷ (-5)
-8 ÷ (-9)
Answer:
Positive/negative = negative
Negative/positive = negative
So -2 ÷ 8 and 15 ÷ (-5) are going to have negative quotients.
Let me know if this helps!
Find all complex numbers z such that z^4 = -4.
Note: All solutions should be expressed in the form a+bi, where a and b are real numbers.
An electricity post is supported by a 12 m long strut(wire). If the strut makes an angle of 53° with the ground level, how far from the post is the strut attached to the ground?
Step-by-step explanation:
I do hope that you understand through the steps in the attachment, if not kindly reach out!
The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is the fifth term?
Answer:
677
Step-by-step explanation:
the sequence is 1, 2, 5, 26, 677
the first term is 1
to find the 2nd term, do: [tex]1^{2} +1=2[/tex]
3rd: [tex]2^{2} +1=4+1=5[/tex]
4th: [tex]5^{2} +1 =25 +1=26[/tex]
5th: [tex]26^{2} +1=676+1=677[/tex]
Find the area of the bolded outlined sector.
Outlined sector:
2 πr x 225/360 +2r
=2x3.14x10 x 225/360 +20
=59.25 cm
Hope this helped!
An executive for a large company is considering a change to health insurance plans offered to the employees. To
assess employee satisfaction with the current plan, the executive sends an email to all company employees asking
their opinion of the current plan. A summary of the results received shows that 27% of company employees are
"highly satisfied" with the current health insurance plan. Which statement about the results is most likely to be true?
Answer:
not D
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Determine the quotient of .    
Look at this rectangular prism:
Answer:
3 : 1
Step-by-step explanation:
volume = length * width * height
The volume of the solid as it is shown is:
volume = 10 m * 6 m * 10 m = 600 m^3
old volume = 600 m^3
Now we triple the length.
The length becomes 3 * 10 m = 30 m
The new volume is:
volume = length * width * height
volume = 30 m * 6 m * 10 m = 1800 m^3
new volume = 1800 m^3
ratio of new volume to old volume = 1800 m^3 : 600 m^3
Divide both sides of the ratio by 600 m^3.
Ratio = 3 : 1
Answer: 3 : 1
When a shape is dilated, the _________ of the lengths in the image to the corresponding lengths in the pre-image are equal to the scale factor.
A. ratios
B. lengths
C. scale factors
D. proportions
Geometry, please answer question ASAP
Answer:
m<D = 170°
Step-by-step explanation:
In a pentagon, the angles add up to 540°. This means the sum of <A, <B, <C, <D, and <E add up to that, and we can write an equation:
m<A + m<B + m<C + m<D + m<E = 540°
We are already given the measures of all the angles except D, so we can substitute them in:
87° + 125° + 63° + m<D + 95° = 540°
Now, we can simplify and solve for <D:
m<D + 370° = 540°
m<D = 170°
Plz help similarity theorems
Answer:
b is the answer bro and try first then ask questions
How do I solve this problem: 6c - 8 - 2c = -16
Answer:
c = -2
Step-by-step explanation:
6c-8-2c = -16
4c -8 =-16
4c = -16 +8
4c = -8
4c/4 = -8/4
c = -2
Answred by Gauthmath
The solution of the equation 6c - 8 - 2c = -16 is -2 calculated by combining like terms and isolating the variable then dividing the equation by coefficient of the c variable.
To solve the equation 6c - 8 - 2c = -16, isolate the variable c on one side of the equation.
Combine like terms on the left side of the equation:
6c - 2c = 4c
The equation now becomes:
4c - 8 = -16
Take constant term on the right side of the equation by adding 8 to both sides:
4c - 8 + 8 = -16 + 8
The equation simplifies to:
4c = -8
To find the value of c, divide both sides of the equation by 4:
4c / 4 = -8 / 4
c = -2
Hence, the value of c is -2 in the equation 6c - 8 - 2c = -16.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ6
Multiply: 4 (−5 2/3) Enter your answer as a fraction in simplest form, like this: 42/53
[tex]\\ \sf\longmapsto 4\left(-5\dfrac{2}{3}\right)[/tex]
Convert mixed fraction into simple fraction form[tex]\\ \sf\longmapsto 4\left(-\dfrac{5(3)-2}{3}\right)[/tex]
[tex]\\ \sf\longmapsto 4\left(-\dfrac{17}{3}\right)[/tex].
[tex]\\ \sf\longmapsto \dfrac{-68}{3}[/tex]
plz give me this ans by explaining
Answer:
I don't know what to do so I just answered the volume of this tell me if I am wrong
Step-by-step explanation:
radius : 3.5 cm
volume : ?
now,
volume (v) : π × r (2)
: 22/7 × 3.5(2)
:22×3.5×3.5 by 7
therefore,
the volume is 38.5
help me plzzzzzz tyyyyyyyyyy
Answer:
your answer is B.
Step-by-step explanation:
mode is 76, mean is 79, the median is 76.
SEE QUESTION IN IMAGE
Answer:
42Required probability:
P(≤4) = (18 + 14 + 20 + 16)/(18 + 14 + 20 + 16 + 15 + 17) = 68/100 = 0.6843Required probability:
P(>3) = (20 + 16 + 15 + 17) / (18 + 14 + 20 + 16 + 15 + 17) = 68/100 = 0.6844At least 2 students pass:
P(2 or 3) = (3/5)² + (3/5)³ = 9/25 + 27/125 = 72/125 = 0.57645Number of x's:
x/108 = 4/27x = 108*4/27x = 16(62.1) x (3.2) = ??
Please help urgent!!!
Answer:
198.72
Step-by-step explanation:
if u remove the brakctes and multiplay both of them by 10 and then multiply (621x32=19872 then u divide it by 100 and u get the answer 198.72
(cos^2x-sin^2x)-sin4x+sin^22x=0
Answer:
x=22.5
Step-by-step explanation:
(there's a correction in the question since the I did this one before, so I know)
(cos²x-sin²x)²-sin4x+sin²2x=0
or, cos²2x-sin4x+sin²2x=0
or, 1-sin4x=0
or, sin4x=1
or, 4x=90
or, x=22.5
Pressure varies inversely as volume. When the pressure is 8 Pascals, the volume is 22 liters. What would the volume be if the pressure were increased to 16 pascals?
Answer:
we can use 2 formule to solve your question: One is P*V=n(mol)*R*T(KELVIN)
Step-by-step explanation:
And other is P(first)*V(first)=P(last)*V(last)
8*22=16*?
the ?=11
look at the image below
Answer: what’s the question ?
Solve 4 sinx + 9 cosx=0 for 0°
4 sin(x) + 9 cos(x) = 0
4 sin(x) = -9 cos(x)
tan(x) = -9/4
x = arctan(-9/4) + nπ … … … (in radians)
or
x = arctan(-9/4) + 180n ° … … … (in degrees)
where n is any integer.
I'm guessing you're solving for x over some domain, probably 0° ≤ x < 360°. In that case, you would have two solutions for n = 1 and n = 2 of
x ≈ 113.96° and x ≈ 293.96°
0.741 round to nearest one
Answer:
Step-by-step explanation:
Since round to the nearest one is too vague, i'll give everything this can be rounded too
Rounded to the nearest whole number
0.741 = 1
Rounded to the nearest tenth
0.741 = 0.7
Rounded the the nearest hundreth
0.741 = 0.74
Hopefully this helps
Which angles are adjacent to each other?
Angle CHG and Angle HDL
Angle AEB and Angle DEA
Angle CHG and Angle HCE
Angle JCH and Angle CHG
Please make sure it's correct because one person once tried it and got it wrong..lol.
Answer:
B
Step-by-step explanation:
Adjacent angles must have the same vertex, so if the middle letter of the three letters used to name each of the angles in a pair are not the same, the angles cannot be adjacent.
That eliminates choices A, C, and D.
Answer: B
Look in the picture first below. Each pair of angles with the same vertex marked in blue is a pair of adjacent angles. For two angles to be adjacent angles, they must be next to each other, have the same vertex, and one cannot be inside the other.
Now look in the second picture below. Each pair of angles marked in red is not a pair of adjacent angles. Some of them are not next to each other. Others have one angle inside the other.
please tell me the coordinates
Answer:
A'(-9, -3)
Step-by-step explanation:
The coordinates of A are (-3, -1).
The dilation factor is 3.
Multiply the coordinates of A by 3.
A'(-9, -3)
Answer:
Coordinates of A´ are (-3,-1), it is dilated by the factor of 3, The New coordinates will be:-
[tex](-3\times 3)=-9[/tex]
[tex](-1\times3)=-3[/tex]
[tex]A'(-9,-3)[/tex]
OAmalOHopeO
equivalent expression: 3 + 4(2z - 1)
Answer:
8z - 1
Step-by-step explanation:
Given
3 + 4(2z - 1) ← multiply each term in the parenthesis by 4
= 3 + 8z - 4 ← collect like terms
= 8z - 1
Answer:
-1 + 8z
Step-by-step explanation:
First use the distributive property of multiplication (Just multiply 4 with all numbers in the parenthesis):
3 + 4(2z - 1)
3 + 8z - 4
Group like terms:
3 + 8z - 4
-1 + 8z
The answer is -1 + 8z
Hope this helped.
Can someone help me out
Answer:
17.6 mi
Step-by-step explanation:
I know you are using Windows 10 OS or something because of the cortana thingie and task bar option, and you can do Windows Key + Shift + S to take a screenshot.
This gives much better quality than a third party device and lets us evade the terrible pixel green line rippley thingies that form. Plus it is more efficient and faster.
Circumference formula is Diameter * Pi.
I assume the 5.6 mi. is the diameter since the line segment is going completely through the circle.
Pi is something of the lines of 3.141592653 blah blah blah and goes on forever, but the point is, we take it to be 3.14 when doing circle stuff so we don't die from old age trying to figure out a question of a 1 x 1 circle.
So 5.6 * 3.14 is 17.584 which is your answer.
It says to round to the nearest tenth though, so you round and get
17.6 since the 5 in 17.584 is the tenths place, the 8 is the hundredths place, the 4 is the thousandths place and so on and so forth.
(The " * " symbol represents multiplication and is in use all the time when going to higher levels of education.)
Please Help !
Which of the following describes point D? (-4, 0) (0, -4) (0, 4) (4, 0)
Answer:
D(0 , 4)
Step-by-step explanation:
Point D is on the y axis. So, x-coordinate = 0
y- coordinate is the vertical length from origin which is 4
Answer:
D(0 , 4)
Step-by-step explanation:
