Answer:
x = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
6 + 4x = 7 ( subtract 6 from both sides )
4x = 1 ( divide both sides by 4 )
x = [tex]\frac{1}{4}[/tex]
Answer:
x = 1/4
Step-by-step explanation:
6 +4x = 7
collect terms
4x = 7 - 6
4x = 1
Divide both sides by 4
x = 1/4
Bye ! :-)
Can somebody help plz help me with this?
Answer:
N-8
Step-by-step explanation:
look at the image for the question
Answer:
Answer is y = 6
Step-by-step explanation:
Solve for y.
Answer:
Y=6 I think but I’m not positive.
sorry if I’m wrong.
haha
get it? POSITIVE?
Please help I’ll give brainliest
For this question, we will need to know that when we divide two numbers with the same base but different exponents, we must subtract the exponents.
[tex]\dfrac{a^m}{a^n}=a^{m-n}[/tex]
Solving the Question[tex]\dfrac{9^5}{9^3}[/tex]
Subtract the exponents:
[tex]9^2[/tex]
Answer[tex]9^2[/tex]
what is the measure of each exterior angle of a regular dodecagon?
Answer:
30°
Hope this answer is right!
Step-by-step explanation:
to go around the shape, you make a complete circle: 360°. So, divide 360° by the dodecagon's twelve exterior angles. Each exterior angle is 30°.
Congruent angle pairs : find value of x and the value of y
PLEASE I NEED HELP!!!!
Q. Determine if the rates are equilvalent. Explain your reasoning. 25 hours in 5 days; 8 hours in 2 days. . .
[tex] \dashrightarrow [/tex] No!, as, we have 25 hours in 5 dyas is the equals to 5. While, 8 hours in 2 days is equals to 4.
Here, is a difference of 1 in 5 and 4.
Given the system of equations.
{-4x+y = 3
{2x - y = 12
Which of the options represents the resulting equation after an equivalent expression for y ls substituted into the
second equation.
2x - (4 X+3) = 12
-4(4y+)+y=3
2 (4x+3) - y
-4x+4 x-3=3
Answer:
A. 2x - (4x + 3) = 12
Step-by-step explanation:
A. 2x - (4x + 3) = 12
B. -4(4y+)+y=3
C. 2 (4x+3) - y
D. -4x+4 x-3=3
Given equation:
-4x+y = 3. (1)
2x - y = 12. (2)
From (1)
y = 3 + 4x
Substitute y = 3 + 4x into (2)
2x - y = 12 (2)
2x - (3 + 4x) = 12
Or
2x - (4x + 3) = 12
2x - 4x - 3 = 12
- 2x = 12 + 3
- 2x = 15
x = 15/-2
x = -7.5
Substitute x = -7.5 into (1)
-4x+y = 3 (1)
-4(-7.5) + y = 3
30 + y = 3
y = 3 - 30
y = -27
Please help!
The table shows the game scores of five players. Andy’s brother, Kevin, also plays and gets a score of 9. Find the mean, median, and mode of the data in the table. Then, find the mean, median, and mode of the data in the table and Kevin’s score.
Answer:
The third one
Step-by-step explanation:
Median - Middle number in terms of value
Mode - outcome that appears the most
Mean - average ( add the numbers together and divide that by the amount of numbers )
Data without Kevins score
13, 21, 28, 9, 31
First let's find the mean
To find the mean we simply add the numbers up and divide that by the total amount of numbers ( there are 5 numbers )
13 + 21 + 28 + 9 + 31 = 102
102/5=20.4
So the mean without Kevins score is 20.4
Next let's find the mode
The mode is the number that appears the most
Looking at the data no number appears more than once so there is no mode
Finally let's find the median.
To make it easier to find let's list the numbers in order from least to greatest
9, 13 , 21 , 28, 31
We then go to the middle number ( which would be 21 )
The mode is 21
So for data without Kevins score the mean would be 20.4, the median would be 21 and the mode would be none
Now let's add in Kevin's score and repeat this process
Data with Kevin's score
13, 21, 28, 9, 31, 9
First let's find the mean
( Note that there is 6 numbers this time )
13 + 21 + 28 + 9 + 31 + 9 = 111
111/6 = 18.5
So mean with Kevin's score = 18.5
Next let's find the mode
The number 9 appears the most so the mode is 9
Finally let's find the mean
Once again let's list the numbers from least to greatest
9, 9, 13 , 21 , 28, 31
Because there is an even amount of numbers we will take the sum of the two middle numbers and divide that by 2
The two middle numbers would be 21 and 13
21 + 13 = 34
34/2=17
So median = 17
In the end we get the following
Without Kevins score
Mean = 20.4
Median = 21
Mode = none
With Kevin's score
Mean = 18.5
Median = 17
Mode = 9
This information corresponds with the third table
A water tank has a dimension 3 m long, 1.8 m wide and 2.2 m
high. It has a capacity of:
Answer:
The answer is 11.8 m
Step-by-step explanation:
Hey Mate,
the volume of a cuboid is = whl....so the volume of it is the capacity of the tank
so 3 x 1.8 x 2.2 = 11.88 m is the answer
Find the volume of each shape.
Step-by-step explanation:
1. length ×breadth ×height
12× 6 ×3= 216
2. A is the area of the base, h is the height
18×16=288
3.10×14×5=700
Answer:
21. 216m^3
22. 4071.5m^3
23. 700m^3
Step-by-step explanation:
21. V = L*W*H
V = 3*6*12
V = 216
22. V = [tex]\pi r^{2} h[/tex]
The diameter is 18 so the radius is 9
V = [tex]\pi[/tex](9^2)(16)
V= 4071.50408
23. V = L*W*H
V= 10*5*14
V=700
Determine the location and values of the absolute maximum and absolute minimum for given function : f(x)=(‐x+2)4,where 0<×<3
Answer:
Where 0 < x < 3
The location of the local minimum, is (2, 0)
The location of the local maximum is at (0, 16)
Step-by-step explanation:
The given function is f(x) = (x + 2)⁴
The range of the minimum = 0 < x < 3
At a local minimum/maximum values, we have;
[tex]f'(x) = \dfrac{(-x + 2)^4}{dx} = -4 \cdot (-x + 2)^3 = 0[/tex]
∴ (-x + 2)³ = 0
x = 2
[tex]f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx} = -12 \cdot (-x + 2)^2[/tex]
When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2
We have, f(2) = (-2 + 2)⁴ = 0
The location of the local minimum, is (2, 0)
Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3
When x = 0, -x + 2 = 0 + 2 = 2
Similarly, we have;
-x + 2 = 1, when x = 1
-x + 2 = 0, when x = 2
-x + 2 = -1, when x = 3
Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16
The location of the local maximum is at (0, 16).
It costs £420 for six tickets how much would 5 tickets be
What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ...
1. Harsha makes a scale drawing of a window. She uses the scale 1cm represents 20cm.
A).on her drawing the window is 6cm wide. How wide is the window in real life?
B).The window in real life is 2.2m high. How high is the window on the scale drawing?
Give your answer in centimeters.
Part (A)
(1 cm)/(20 cm) = (6 cm)/(x cm)
1/20 = 6/x
1*x = 20*6
x = 120
120 cm = 120/100 = 1.2 m
Answer: 1.2 m=========================================================
Part (B)
2.2 m = 2.2*100 = 220 cm
(1 cm)/(20 cm) = (x cm)/(220 cm)
1/20 = x/220
1*220 = 20*x
20x = 220
x = 220/20
x = 11
Answer: 11 cmIn 2014, a town's population was 795 people. By 2020, the population had grown to 1262 people. a. Create an exponential equation for the town's population "n" years from 2014. Round your multiplier to the nearest hundredth (2 decimal places).
Answer: [tex]P=795(1.84)^n[/tex]
Step-by-step explanation:
Given
Initial population was [tex]795[/tex] people
By 2020, it becomes [tex]1262[/tex] people
Suppose the population follows the trend [tex]P=P_oa^{n}[/tex]
where, [tex]n[/tex] is the number of years after 2014
For year 2020 it is 6. Insert the values
[tex]\Rightarrow 1262=795a^{6}\\\\\Rightarrow 1.587=a^{6}\\\\\text{Taking log both sides}\\\\\Rightarrow \log (1.587)=6\log (a)\\\Rightarrow \log (a)=0.2645\\\\\Rightarrow a=10^{0.2645}\\\Rightarrow a=1.84[/tex]
Thus, the exponential population trend is [tex]P=795(1.84)^n[/tex]
4x-10+1.5x-4x+11=8.5-6
Answer:
x=1
Step-by-step explanation:
4x-10+1.5x-4x+11=8.5-6
Combine like terms
1.5x+1=2.5
Subtract 1 from each side
1.5x+1-1=2.5-1
1.5x = 1.5
Divide by 1.5
1.5x/1.5 = 1.5/1.5
x=1
Answer:
x=1
Step-by-step explanation:
Given :
4x-10+1.5x-4x+11=8.5-6
4x+1.5x-4x=8.5-6-11+10
1.5x=1.5
x=1
Value of x=1
can someone please help me in this question
Answer:
a. 26 cm²
b. 55 cm²
c. 78 cm²
d. 89.27 cm²
Step-by-step explanation:
a. The shape can be decomposed into two rectangles
Area of the larger rectangle = L*W
L = 7 cm
W = 2 cm
Area of the larger rectangle = 7*2 = 14 cm²
Area of the smaller rectangle = L*W
L = 4 cm
W = 5 - 2 = 3 cm
Area of the larger rectangle = 4*3 = 12 cm²
Area of the compound shape = 14 + 12 = 26 cm²
b. The shape can be decomposed into a rectangle and a triangle.
Area of the compound shape = area of rectangle + area of triangle
= L*W + ½*b*h
L = 8 cm
W = 5 cm
b = 5 cm
h = 14 - 8 = 6 cm
Plug in the values
Area = 8*5 + ½*5*6
Area = 40 + 15
= 55 cm²
c. The shape can be decomposed into a rectangle and a trapezoid
Area of the compound shape = area of the rectangle + area of the trapezoid
= L*W + ½(a + b)h
L = 12 cm
W = 3 cm
a = 12 cm
b = 9 cm
h = 4 cm
Plug in the values
Area = 12*3 + ½(12 + 9)4
Area = 36 + 42
Area = 78 cm²
d. The shape can be decomposed into a rectangle and a semicircle
Area of the compound shape = area of the rectangle + area of the semicircle
= L*W + ½(πr²)
L = 10 cm
W = 5 cm
r = ½(10) = 5 cm
Plug in the values
Area = 10*5 + ½(π*5²)
Area = 50 + 39.27
Area = 89.27 cm²
A cubical reservoir has capacity of 480000 l itters of liquid. If ifs length and breadth are 10m and 8m respectively, find the hight of the reservoir.
Answer:
Height = 6000 m
Step-by-step explanation:
[tex]Volume = length \times breadth \times height \\\\480000 = 10 \times 8 \times height\\\\480000 = 80 \times height\\\\height = \frac{480000}{80} = 6000 \ m[/tex]
I need help asap!!!! 13 points
If IK is the whole length of the line segment, then IJ + JK = IK.
IJ + JK = IK
(3x - 5) + (2x - 1) = (3x + 2)
3x + 2x - 5 - 1 = 3x + 2
5x - 6 = 3x + 2
2x - 6 = 2
2x = 8
x = 4
Now that we know the value of x, we can plug this value back into the expression for JK and evaluate.
JK = 2x - 1
JK = 2(4) - 1
JK = 8 - 1
JK = 7
Hope this helps!
In parallelogram EFGH if m∡GHE=160 find ∡m∡EFG
Answer:
160°
Step-by-step explanation:
since it is a parallelogram it's opposite angles must be equal . So,
angle GHE = angle EFG
160 degree = angle EFG
Evaluate.
3·(7-3)²=?
A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If y represents the larger number and x represents the smaller number, which equations model the situation? Check all that apply.
y=3x-2
3x-y=2
3x-y=-2
y=2-3x
y=2(x+3)
Answer:
1,2, and 5
Step-by-step explanation:
y=2*(3+x)
y=3x-2
3x-y=2
What is the slope of the line shown below?
10
O A-4
5
B. -2
ရှိ မရှိ ။
(2,4)
C. 2
10
15
45
O D. 4
10
Answer:
C) 2
Step-by-step explanation:
(5^-4/4^-6) multiplied by 5^3
Step-by-step explanation:
(5^-4/4^-6) multiplied by 5^3
4⁶×5³/5⁴
4⁶/5
819.2
Answer:
[tex]{ \tt{ (\frac{ {5}^{ - 4} }{ {4}^{ - 6} } ) \times {5}^{3} }} \\ \\ = { \tt{ \frac{ {5}^{ - 4} . {5}^{3} }{ {4}^{ - 6} } }} \\ \\ { \tt{ = \frac{ {5}^{ - 1} }{ {4}^{ - 6} } }} \\ { \tt{ = \frac{ {4}^{6} }{ {5}^{1} } }} \\ = { \tt{ \frac{4096}{5} }} \\ \\ = 819.2[/tex]
20 points for this make sure u explain
Answer:
it literally says +10
Step-by-step explanation:
scammer
Answer:
Step-by-step explanation:
6,7,8
Given the formula below, solve for x.
Answer:
find X in X with x if you find X with x in with x you got a formula
PLEASE HELP MEE!! 50 POINTS
URGENT
The function y= x^2-10x+31 has a _____ (minimum, maximum) value of __ (5, 10, 31, 6)
Answer:
minimum value of 6
Step-by-step explanation:
Given
y = x² - 10x + 31
with a = 1, b = - 10
Since a > 0 then the function has a minimum value
The minimum value is the y- coordinate of the vertex.
The x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{-10}{2}[/tex] = 5
Substitute x = 5 into the function for y- coordinate of vertex
y = 5² - 10(5) + 31 = 25 - 50 + 31 = 6
The function has a minimum value of 6
Triangle ABC is an equilateral triangle with vertices at A(-2,2), B(1,5), and C(-3,6) (Round your answers to the nearest hundredth, 2 decimal places) . a) (2 pts) Determine the length of a side of the triangle. b) (2 pts) Calculate the perimeter of the triangle. c) (2 pts) Now increase the triangle by a scale factor of 4. How long is each side now? d) (2 pts) What is the perimeter of the new triangle? e) (2 pts) What is the area of the original triangle?
Answer:
The answer is below
Step-by-step explanation:
The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate is:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\[/tex]
An equilateral triangle is a triangle with three equal sides (all sides are equal).
a) Given vertices at A(-2,2), B(1,5), and C(-3,6):
[tex]AC=\sqrt{(-3-(-2))^2+(6-2)^2}=\sqrt{1+16}=\sqrt{17}=4.12\ unit\\\\AB=BC=AC=4.12\ unit[/tex]
b) Perimeter = AB + BC + AC = 3 * AC = 3 * 4.12 = 12.36 unit
c) If the scale factor is increased by 4, all the sides would also increase by 4. Hence the new length would be:
A'B' = B'C' = A'C' = 4 * AC = 4 * 4.12 = 16.48 unit
d) Perimeter = A'B' + B'C' + A'C' = 3 * A'C' = 3 * 16.48 = 49.44 unit
e) Area = [tex]\frac{\sqrt{3} }{4}*AC^2=\frac{\sqrt{3} }{4} *4.12^2=7.35\ unit^2[/tex]
Solve: -8.8 > 2.3
I don't understand this- can someone help?
Well you can't really solve it but it's false.
It's should be -8.8 < 2.3
> means "is greater than"
< means "is less than"
(x+4)+(x-3)+(2x+2)+(x^2+3x+1)
Answer:
X^2+7x+4
Step-by-step explanation: