The value of x will be given as for the given expression X = -1
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
2x + 12 = 10
2x = 10 - 12
2x = -2
x = -1
first you distribute 2 to x and 6 which equals 2x+12=10 then you subtract 12 from 10 which equals 2x=-2 then divide -2 by 2x to see what x equals so x=-1
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Select the correct answer. What is the solution to |x − 4| ≥ 7? A. -3 ≤ x ≤ 11 B. -11 ≤ x ≤ 3 C. x ≥ 11 or x ≤ -3 D. x ≥ 3 or x ≤ -11
Answer:
C) x ≥ 11 or x ≤ -3
Explanation:
Given following: |x − 4| ≥ 7
Apply absolute rule: If |u| ≥ 0 then u ≤ -a, u ≥ a
Solving stepwise:
⇒ x - 4 ≤ -7, x - 4 ≥ 7
change sides
⇒ x ≤ -7 + 4, x ≥ 7 + 4
add/subtract integers
⇒ x ≤ -3, x ≥ 11
Answer:
x ≥ 11 or x ≤ -3
Step-by-step explanation:
Hi there! Please take a look at the following explanation and let me know in comment if you have any questions!
Given:[tex]\displaystyle \large{|x-4|\geq 7}[/tex]
To solve an absolute inequality, consider the following theorems.
Theorems:For b ≥ 0:
(1) If |x-a| ≥ b then we have x-a ≥ b or x-a ≤ -b so that we end up with x ≥ b+a, x ≤ -b+a
(2) If |x-a| ≤ b then we have -b ≤ x-a ≤ b which can be simplified to -b+a ≤ x ≤ b+a
Step:From the inequality, we use the (1) theorem.
[tex]\displaystyle \large{x-4\geq 7, x-4\leq -7}\\\\\displaystyle \large{x\geq 7+4, x\leq -7+4}\\\\\displaystyle \large{x\geq 11, x \leq -3}[/tex]
Therefore, the answer is x ≥ 11 or x ≤ -3
2. Answer each of the following based on the scenario below.
Scenario: You bought a brand new iphone 13 for $1,200. Unfortunately your phone
loses 10% of its value every year.
a. Does this scenario represent exponential growth or decay? De
b. What is the initial value of your phone? 2000
c. What is the growth/decay factor? 10
d. Create a function in exponential form that models how much your phone will be worth
after x years.
f(x) =
e. After 3 years how much will your phone be worth?
. After 8 years how much will your phone be worth?
a) losing value is exponential decay.
b) Initial value is the price you paid = $1,200
c) decay factor is 100% - the percent lost per year = 90%
d) value = starting value x decay factor^ time
f(x) = 1200 x 0.90^x
e) replace x with 3 then 8 and solve:
f(3) = 1200 x 0.90^3 = 874.80
after 3 years it is worth $874.80
f(8) = 1200 x 0.90^8 = 516.56
after 8 years it is worth $516.56
A survey of 300 farmers in Missouri found that 111 favor the Republican candidate for governor. Construct the 95% confidence interval for the true population proportion of all farmers in Missouri who favor the Republican candidate.
a) 0.280 < p < 0.460
b) 0.324 < p < 0.416
c) 0.368 < p < 0.372
d) 0.315 < p < 0.425
Answer:
b) 0.324 < p < 0.416
Step-by-step explanation:
b) 0.324 < p < 0.416
Solve for x 5.2³x = 21.
Answer:
D) 0.69
Step-by-step explanation:
Given :
5 × 2³ˣ = 21
Divide by 5 on each side :
1/5 x 5 x 2³ˣ = 1/5 x 212³ˣ = 4.2Taking the cubic root :
∛2³ˣ = ∛4.22ˣ = 1.61Using logarithm values :
log(2ˣ) = log(1.61)x log(2) = log(1.61)x = log (1.61) / log (2)x = log₂ (1.61)x = 0.69 (approximately)Answer:
D. 0.69
Step-by-step explanation:
Given equation:
[tex]5 \cdot 2^{3x}=21[/tex]
Divide both sides by 5:
[tex]\implies \dfrac{5 \cdot 2^{3x}}{5}=\dfrac{21}{5}[/tex]
[tex]\implies2^{3x}=4.2[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]
[tex]\implies(2^3)^x=4.2[/tex]
[tex]\implies8^x=4.2[/tex]
Take natural logs of both sides:
[tex]\implies \ln 8^x=\ln 4.2[/tex]
[tex]\textsf{Apply the log Power law} \quad \ln x^n=n\ln x :[/tex]
[tex]\implies x \ln 8=\ln 4.2[/tex]
Divide both sides by ln 8:
[tex]\implies \dfrac{x \ln 8}{\ln 8}=\dfrac{\ln 4.2}{\ln 8}[/tex]
[tex]\implies x=\dfrac{\ln 4.2}{\ln 8}[/tex]
[tex]\implies x=0.690129776...[/tex]
[tex]\implies x=0.69 \: \sf (2\:dp)[/tex]
Solve for x. Round to the nearest tenth.
Answer:
x= 11.87
Step-by-step explanation:
sec(32) = 14 /x
1.18=14/x
x1.18 =14
x= 11.87
Have to make the equation on the left look like the equation on the right. There are apparently only 2 steps but I can not figure it out for myself. Also not supposed to touch the second equation just show how you get it from the first.
Step-by-step explanation:
[tex] \frac{a}{b} c = \frac{a}{ \frac{b}{c} } [/tex]
[tex] \frac{a}{b} c = a \times \frac{c}{b} [/tex]
Answer:
Step-by-step explanation: change A/B/C to A÷B/C then change the division sign into a multiplicmultiplication sign so that you will have A×C/Bwhich will make your left equation = to your right equation
What is the volume of this rectangular prism?
Answer:
180cm
Step-by-step explanation:
To find the volume you do Length times Width times Height
use this it'll help when you run into this again, it's formula is just
LxWxH, in this order good luck!
If you solve this i give you 50 points
Step-by-step explanation:
2) 8,6,5,3 ,57 7,4,2/8
=92/8
mean =11.5
Arrange the terms in ascending order
2,3, 4, 5, 6, 7, 8, 57
the median of the ascending set= 5.5
3) 72 75 85 82 37 108/ 6
459/6
mean =76.5
Arrange the terms in ascending order
37, 72, 75, 82, 85, 108
the median of the ascending set= 78.5
4) 10 students were asked because there were 10 data values in the list.
5) it should be 55/10 =5.5
so its false
6) Sum first and find the mean number
5+4+3+2+1/5
=3
Which is an advantage of using an ATM as opposed to a bank teller? Select all that apply.
24-hour access
greater number of locations
faster transactions
personal interactions
more types of services
Enter the range of values for x:
2x-4
10
45
60
2
Answer:
the answer is 0
Step-by-step explanation:
2x-4
putting 10
2x10-4
20-4
=16
putting 45
2x45-4
90-4
=86
putting 60
60x2-4
120-4
=116
putting 2
2x2=4
4-4=0
What is 2/8 in its simplest form
Answer:
14
Step-by-step explanation: because you find a common number that both the numerator and the denominator can be divided by. In this case, it is 2 . You can't divide 14 anymore so that is the final answer.
(a)
Part A
Moira collected some stones at the beach. Now she wants to make a clear plastic container to display the sto
a stones. To plan the container Moura decides that she must find the volume
the stones
Moira has an aquarium that is shaped like a rectangular prism. It is 8 inches wide, 16 inches long and 10 inches high She plans to use the aquarium to find the value of the room
First, Moira pours some water Then Moira puts the stones in
into the aquarium. She
the aquarium. She measures
measures and finds that the and finds that the water
water reaches to a
reaches to a new height of
height of 4 inches.
7 inches
7 in
Bin
4 in
10 in.
10 in
8 in
16 in.
Using this information, find the volume of the stones. Show your work
The volume of the stones will be 384 inch³.he volume of the stone is found by subtracting the volume before stones and the volume after stones in the container.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic inch.
Volume before the stones are put in the container is;
[tex]\rm V_1 = L bh \\\\ V_1= 4 \times 16 \times 8 \\\\ V_1= 512 \ inch^3[/tex]
The volume after the stones are put in the container is;
[tex]\rm V_2= 7 \times 16 \times 8 \\\\\ V_2= 896 \ inch^3 \\\\[/tex]
The volume of the stone is found by subtracting the volume before stones and the volume after stones;
[tex]\rm V = V_2-V_1 \\\\\ V=896-512 \\\\ V_2= 384 \ inch^3[/tex]
Hence,the volume of the stones will be 384 inch³.
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Drag and drop to complete the proof below:
Given: DE is tangent to circle C, at point F
Prove:
E
D
F
חד
C
The proof of the given statements is shown below:
What is tangent to a circle?A line segment which touches a circle specified to only one point is called a tangent to that circle.
1. given
2. A line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.
3. Since the tangent is perpendicular to radius i.e., EFC is right angle then,
angle EFC =90
4. Sum of interior angles of a triangle is 180°.
5. proved above: angle EFC= 90
6. FEC + ECF= 180-90=90
7. As proved above
FEC + ECF=90, its shows that angle FEC and ECF are complementary angle.
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At the second stop sign, Rowena skids to a quick stop. Her bike leaves a 7-foot skid mark in the sand. How many inches long is the skid mark?
Answer:
84
Step-by-step explanation:
There are 12 inches in a foot. We have 7 feet. To find how many inches it is, all we do is multiply 7 by 12, which if we do, we get 84.
Hope this helps!
Answer:
84
Step-by-step explanation:
A theater has 18 rows of seats. Each row has the same number of seats.
Suppose there were 3 fewer rows. Then for the theater to hold the same
number of people, each remaining row would need 6 more seats. How
many seats are in the theater?
There are a total of 180 seats in the theater
How to determine the number of seats?The theatre illustrates an arithmetic sequence, with the following parameters:
Number of rows = 18
Let the number of seats per row be n.
So, we have:
Total = 18n
When there are 3 fewer rows, the total number of seats is:
Total = (18 - 3) * (n + 6)
This gives
Total = 15* (n + 6)
Substitute Total = 18n in Total = 15* (n + 6)
18n = 15* (n + 6)
Open the bracket
18n = 15n + 90
Subtract 15n from both sides
3n = 30
Divide both sides by 3
n = 10
Substitute n = 10 in Total = 18n
Total = 18 *10
This gives
Total = 180
Hence, there are 180 seats in the theater
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In parallelogram JKLM if m/JKL-150° find m/LMJ.
Answer:
150 degrees
Step-by-step explanation:
This is because the opposite angles in this parallelogram are equal.
Hi guys !
Find the missing angle in the given figure .
All the best *
Answer:
third angle: 50°
Explanation:The interior angles of a triangle sum ups to 180°.
Here given two angles: 95°, 35°, x - Let the missing angle be x
When they sum up, they equal to 180:
x + 35 + 95 = 180
x + 130 = 180
x = 180 - 130
x = 50
Given two angles are 35° and 95°
Let the unknown angle be "x"
We know that sum of angles of a triangle is 180°
Therefore,
[tex]\sf{35°+95° + x = 180°}[/tex]
[tex]\sf{130° + x = 180°}[/tex]
[tex]\sf{x = 180°-130°}[/tex]
[tex]\sf{x = 50°}[/tex]
Hence, the missing angle is 50°.
A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.
an = 2(an − 1 + 4) and a1 = 5 (the n and n-1 is suppose to be a subscript, I just can't figure out how to make it like that)
So
a_2
2a_1+8=2(5)+8=18a_3
2a_2+8=2(18)+8=44a_4
2a_3+8=2(44)+8=96a_5
2a_4+8=2(96)+8=200The new floor plan for the interior of a home is below. Marisa wants to cover various parts of the floors with carpet, tile, or wood.
If tile costs $1.29/sq. ft., how much will the tiled portion of the floor plan cost?
A) $1,548.00
B) $1,161.00
C)5387.00
D) $774.00
Answer:
C. $774.00
Step-by-step explanation:
First, you have to find the area of the area that is tile, in this case, it is a trapezoid.
Area of Trapezoid formula:
A= 1/2(b1+b2)h
h= height
b=base
A= 1/2(15+25)30
A= 1/2(40)(30)
A=1/2(1,200)
A= 600
Now, you multiply 600 by the cost of the tile to get how much money it will cost.
600*1.29= $774.00
wich one is greatest?
A. 2.3 x 10
B. 8.6 x 10
C. 1.2 x 10
D. 3,600
i need help 7th grade math i need all the answers correct please ASAP
Answer:
The 8.39-kg bag
Step-by-step explanation:
19.99 divided by 7.98 = $2.51
20.38 divided by 8.39 = $2.43
2.51 > 2.43
So 8.39-kg bag is the better buy
Answer:
7.98: $2.51/kg8.39: $2.43/kgthe 8.39 kg bag is the better buyStep-by-step explanation:
To find the unit price, divide the price by the number of units. Here, the unit of interest is 1 kg.
__
Unit price of 7.98 kg bag:
$19.99/(7.98 kg) = $2.51 /kg
__
Unit price of 8.39 kg bag:
$20.38/(8.39 kg) = $2.43 /kg
__
The 8.39 kg bag has a lower cost per kilogram, so is considered the better buy.
here is the histogram of a data distribution. all class widths are 1. which of the following numbers is closest to the mean of this distribution a)3 b)5 c)4 d)9 e)7
The number 5 is closest to the mean of the distribution, option (B) is correct.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
From the histogram:
2, 6, 4, 2, 0, 1, 6, 4, 2, 1
The sum of the above data = 28
= 2×1+6×2+4×3+2×4+0×5+1×6+6×7+4×8+2×9+1×10
= 2+12+12+8+6+42+32+18+10
= 142
Mean = 142/28
= 5.07
Thus, the number 5 is closest to the mean of the distribution option (B) is correct.
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Answer:4
Step-by-step explanation:jus done this question
what is |3|?
please help i dont understand.
Answer:
Step-by-step explanation:
the bars, | |, mean absolute value
for example, if it was
| -9 |
then it would be 9
if it was
| 9 |
then it would be 9
if it was
| -550 |
it would be 550
you take the number, and if its negative, then it becomes positive
thats it
4) Carlo finished answering his homework at 7:20 p.m. If he started at 6:50 p.m., how many minutes did he spend in answering his homework?
a. What is asked?
b. What are given?
c. What is/are the operation/s to be used?
d. What is the number sentence?
e. What is the answer?
Answer:
a. the time spent answering homework
b. time finished and time started
c. subtraction
d. 7:20-6:50 (unsure how this is supposed to be laid out)
e. Carlo spent 30 minutes answering his homework
Ms. Jones baked 12 cookies on Monday. On Tuesday, she baked 15 cookies, on Wednesday, she baked 18 cookies. If Ms. Jones continues baking cookies this way, how many will she bake on Friday?
Answer:
19 or 20
Step-by-step explanation:
well is see
Monday = 12
Tuesday = 12 + 3 = 15
Wednesday = 15 +3 = 18
so the pattern is 3
but now since there is only 14, 13, 19, and 20
we could say she only added 1 or 1 each time
because it said she wanted cookies to stay about 18
1 x 2 = 2
18 + 2 = 20
or
1 + 18
19
sorry if it's wrong
distance between (-71,432) and (511,218) and round to the nearest thousandth
Answer:
620.097 units
Step-by-step explanation:
1. Consider the following points:
(-71,432) and (511,218)
The objective is to find the distance between these two points using a graphing calculator and round your answers to the nearest thousandth.
Using my knowledge of "Mental Math" I can determine that the final answer is 620.097 units.
PLEASE HELP AREA QUESTION 40 POINTS
Answer:
14 meters
Step-by-step explanation:
colleen is searching online for airline tickets. Two weeks ago, the cost to fly from boston to hartford was $200. now its cost $340. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
A) 70%
B) 95%
Step-by-step explanation:
A) $200 to $340
Increase = $340 - $200 = $140
Percentage of increase = $140/$200 * 100% = 70%
B) Additional $50
Increase = $140 + $50 = $190
Percentage of increase = $190/$200 * 100% = 95%
PLSS HELP ME WITH THIS 15 POINTSS!
Answer:
D. y= 1/9x
Step-by-step explanation:
y= 1/9x
(x)=9y
so I think d is your answer sorry if its wrong but i hope i helped.
Answer: D. y= 1/9x
Step-by-step explanation: i think you answer is correct if not it's ok
help please please 100pts no trolls please
Answer:
21.8 m/s
Step-by-step explanation:
Given that Tom drops a object from a height of h meters and it hits the ground with a veloc8of v m/s and it is given by function ;
[tex]\longrightarrow v =\sqrt{19.6h}[/tex]
We need to find out the velocity upon reaching the ground when it is dropped from a height of 24.3 m . On plugging in 24.3 in place of h we have ,
[tex]\longrightarrow v =\sqrt{19.6\times 24.3 }\ m/s\\\\\longrightarrow v =\sqrt{ 476.28} m/s \\\\\longrightarrow v = 21.823 \ m/s \\\\\longrightarrow \underline{\underline{ v = 21.8 \ m/s }}[/tex]
And we are done !
Answer:
21.8
Step-by-step explanation:
The formula is given :
v = √(19.6h)Given that h = 24.3 m, we need to find v.
Substituting the value of h in the formula :
v = √(19.6)(24.3)v = √476.28v = 21.8 m/s (nearest tenth)