If
x
=
−
8
, evaluate the following expression:
(
x
−
2
)
(
x
+
4
)
x
(
x
+
9
)
Mary and Bill both are saving money. Mary already has $30 and is able to save $5.50 every week. Bill already has $45 and is able to save $4.25 every week. When will Mary and Bill have the same amount of money?
Answer: 12 weeks
Step-by-step explanation:
Let the week that both of them will have thesame amount of money be represented by x.
Since Mary already has $30 and is able to save $5.50 every week, this will be denoted as: 30 + 5.50x
Since Bill already has $45 and is able to save $4.25 every week, this will be debited by 45 + 4.25x. Then we'll equate both equations and this will be:
30 + 5.50x = 45 + 4.25x
5.50x - 4.25x = 45 - 30
1.25x = 15
x = 15/1.25
x = 12
They'll have thesame amount of money in 12 weeks.
8x - 3 /AX 4x + 3 When angles form a linear pair, their sum is 180°. 8x - 3+ 4x + 3 = 180 [?]x + [] = 180
Answer:
12x + 0 = 180x = 15Step-by-step explanation:
You are given the equation 8x -3 +4x +3 = 180 and asked to simplify it and solve for x.
SimplifiedCollecting terms, we have ...
(8 +4)x +(-3 +3) = 180
12x + 0 = 180
Dividing by the coefficient of x gives ...
x = 180/12 = 15
The value of x is 15.
Find the value of x, please show your work
Answer:
x = 80
Step-by-step explanation:
This shape is a pentagon, and all of the angles in a pentagon always add up to 540. So, using this, we can create an equation, 3x + 300 = 540. we can then use the reverse order of operations to solve this, first subtracting 300 from both sides. this gets us the equation 3x = 240. We then divide 3 from both sides to get x alone and get x = 80.
Answer:
x = 80°
Step-by-step explanation:
You want the value of x given a pentagon with two angles marked with expressions in x.
Sum of anglesThe sum of interior angles in an n-gon is 180° × (n -2). For the 5-sided figure shown, the sum of angles is 180° × 3 = 540°.
Using this value, we have ...
(x +40°) +125° +(x +5°) +(x +50°) +80° = 540°
3x +300° = 540° . . . . . . simplify
x +100° = 180° . . . . . . . divide by 3
x = 80° . . . . . . . . . . . . subtract 100°
The value of x is 80°.
Find an equation for the line tangent to y=2−6x² at (−2,−22).
The equation for the line tangent to y=2−6x² at (−2,−22) is y=
The equation for the line tangent to y=2−6x² at the point (-2,-22) is y = 40x - 78.the equation of the tangent line is y = 24x + 26.
To find the equation of the tangent line, we need to determine its slope and y-intercept. The slope of the tangent line can be found by taking the derivative of the function y=2−6x² and evaluating it at x = -2.
First, we find the derivative of y=2−6x², which is dy/dx = -12x. Evaluating this derivative at x = -2, we get -12(-2) = 24.
The slope of the tangent line is 24. To find the y-intercept, we substitute the coordinates of the given point (-2,-22) into the equation y = mx + b, where m is the slope. Rearranging the equation, we have -22 = 24(-2) + b.
Simplifying the equation, we get -22 = -48 + b, and solving for b, we find that b = 26.
Therefore, the equation of the tangent line is y = 24x + 26.
Learn more about tangent here
https://brainly.com/question/27021216
#SPJ11
What is the area of the shaded part ? Take(π=22/7)
Answer:
Given:
radius of bigger half circle[R]=(7+7+14)/2=14cm
radius of smaller half circle [r]=14/2=7cm
Area of shaded region =1/2[πR² -πr²]
=1/2×22/7×[14²-7²]=231cm²
Area of shaded region=231cm²
Solve based on the diagrams.
2. What is the mode of this data set?
Answer:
5 is the mode of the data set.
Step-by-step explanation:
When finding the numbers of a bar graph like this, we count each x and the placement to find the number and amount of times it is shown.
Ex. There is 4 x's above 5. Meaning there are four, 5's. 5, 5, 5, 5.
The mode of a data set, is the number that appears the most often.
So, we can see that the 5 has the most x's, we know that 5 apears the most. Making 5, the mode.
PLZ HELP ASAP DUE TMR NEED RN TYSM
Answer:
b= 133º
c= 47º
ella deposits $8000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 4 years?
Point U is on line segment
TV
. Given TV=8 TU=2, determine the length uv
.
Answer:
Step-by-step explanation:
TV = VU + TU
Subsitute.
8 = VU + 2
-2 -2
VU = 6
A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment UV is 6 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
A line segment is also a line but a line with finite length and fixed endpoints.
Given that Point U is on the line segment TV. Therefore, it can be said that point U will lie between TV. Thus, we can write,
TV = TU + UV
As given the length of TV is 8 units, the length of TU is 2 units,
8 units = 2 units + UV
8 units - 2 units = UV
UV = 6 units
Hence, the length of the line segment UV is 6 units.
Learn more about Line here:
https://brainly.com/question/21511618
#SPJ2
can I have the answer to this question please
Simplify (3cd^4)^2
answer = 9c²d^8
(3cd^4)^2
=(3)^2 × c^2 × (d^4)^2
=9×c^2×d^8 ----law of indices (a^m)^n = a^mn
=9c²d^8
Solve the equation. x/8=0.625
Answer:
X = 5
Step-by-step explanation:
x in (-oo:+oo)
x/8 = 0.625 // - 0.625
x/8-0.625 = 0
1/8*x-0.625 = 0 // + 0.625
1/8*x = 0.625 // : 1/8
x = 0.625/1/8
x = 5
x = 5
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
:)
Answer:
x = 5
Step-by-step explanation:
\( \frac{x}{8} = 0.625\)First convert the decimal to an improper fraction
That's
\(0.625 = \frac{5}{8} \)So we have
\( \frac{x}{8} = \frac{5}{8} \)Multiply through by 8
That's
\(8 \times \frac{x}{8} = \frac{5}{8} \times 8\)We have the final answer as
x = 5Hope this helps you
- Element
- Identity
- n-fold axis
- Mirror plane
Symmetry Operation
Identity-do nothing
Rotation by 2π/n
Reflection
Symbol
E
C
n
σ
In the context of operations, the following terms are commonly used:
Element: An element refers to a specific type of symmetry operation present in a molecule or object. Examples of elements include identity, rotation axis, and mirror plane.
Identity: The identity element (denoted by the symbol E) represents the absence of any symmetry operation. Applying the identity operation to an object leaves it unchanged.
n-fold axis: An n-fold axis of rotation (denoted by the symbol Cn) represents a rotational symmetry operation around an axis. It rotates the object by an angle of 2π/n, where n is an integer representing the number of equivalent positions after rotation.
Mirror plane: A mirror plane (denoted by the symbol σ) represents a reflection symmetry operation. It reflects the object across a plane, dividing it into two mirror-image halves.
To learn more about symmetry : brainly.com/question/1597409
#SPJ11
i have no idea how to do these so if anyone can help please i’ll make you brainliest
Answer:
D. (4,7)
E. (0,1)
Step-by-step
See screenshot of graph and points.
Find the equation of the line passing through the points (5,21) and (-5,-29)
The probability that Colin buys a sandwich is 0.3.
The probability that Colin gets the bus is 0.7.
Assuming the events are independent, what is the probability that Colin buys a sandwich and gets the bus?
Answer:
0.21
Step-by-step explanation:
For independent probalities, the chance of both things happening is their product. 0.3 * 0.7 = 0.21
What is 18.92 divided by11 equals 18.92 at the top 11 at the bottom explain your answer PLEASE I HAVE TO SUMMIT THIS IN 19 MIN!
Answer: 1.72
Step-by-step explanation:
18.92 ÷ 11 can be rewritten as: \(\frac{18.92}{11}\).
Use long division to find the answer, as shown below:
HL=
Help me asap!! Thanks so much I appreciate it :)
The value of length HL is 8.
How to find HL when two secant intersect outside a circle?A secant is a line that intersects a circle in exactly two points
When two secants intersect outside a circle, the circle divides the secants into segments that are proportional with each other.
Therefore,
(EF + FL)FL = HL(GH + HL)
(10 + 14)10 = (HL + 30 - HL)HL
240 = 30(HL)
divide both sides by 30
Hence,
240 / 30 = 30HL / 30
8 = HL
Therefore,
HL = 8
learn more on secant here: https://brainly.com/question/15532257
#SPJ1
A ramp is constructed with the given dimensions. What is the width of the ramp. 15 m 39m
Solve for v.
28-3v=4v
Simplify your answer as much as possible
V =
If the confidence level is decreased from 99% to 90% for a simple random sample of size n, the width of the confidence interval for the mean I will: stay the same. decrease. increase. The answer cannot be determined from the information given.
If the confidence level is decreased from 99% to 90% for a simple random sample of size n, the width of the confidence interval for the mean will decrease.
The width of a confidence interval is influenced by the level of confidence and the variability of the data. A higher confidence level requires a wider interval to capture a larger range of possible values. Conversely, a lower confidence level requires a narrower interval since there is a smaller range of values to capture.
When the confidence level is decreased from 99% to 90%, it means that we are becoming less confident in the accuracy of the interval and allowing for a greater chance of error. To accommodate this decrease in confidence, we can reduce the width of the interval, making it narrower.
By decreasing the confidence level, we can tighten the interval around the estimated mean, resulting in a smaller width. This is because we are now willing to accept a higher level of uncertainty, allowing for a smaller range of values that the true mean could potentially fall within.
Therefore, the width of the confidence interval for the mean will decrease when the confidence level is decreased from 99% to 90%.
To learn more about confidence interval : brainly.com/question/13067956
#SPJ11
plz help fast!!!!!!!!!!!!!!!!!!!!!
Answer:
D) 156/100 = n/70
Step-by-step explanation:
n = 156% of 70
% indicates a fraction over 100.
"of" indicates multiplication.
n = 156/100 • 70
Let's divide both sides by 70 to have one fraction one each side.
n/70 = 156/100
This is equal to D) \((\frac{156}{100}) = (\frac{n}{70})\)
Write one trigonometric expression that can be used to find the value of x by replacing the variable a with the correct value.
A triangle with base side labeled 4, vertical leg labeled 3, and hypotenuse labeled 5. Angle at right vertex is marked right angle. Angle at left vertex is labeled x degrees.
Evaluating x = sin^(-1)(3/5) expression using a calculator or trigonometric table will give the value of x in degrees.
To find the value of x in the given triangle with base side labeled 4, vertical leg labeled 3, and hypotenuse labeled 5, we can use the trigonometric expression involving the sine function.
The sine function relates the ratio of the length of the vertical leg to the length of the hypotenuse in a right triangle. In this case, we have:
sin(x) = opposite/hypotenuse = 3/5
Therefore, the trigonometric expression that can be used to find the value of x is: sin(x) = 3/5
By taking the inverse sine (also known as arcsine or sin^(-1)) of both sides of the equation, we can solve for x:
x = sin^(-1)(3/5)
For more such questions on trigonometric
https://brainly.com/question/15448219
#SPJ8
If each of A, B, C stands for a nonzero digit in the following addition, then find the three-digit number ABC.
A C B
B A C
B C A
C A B
+ C B A
___________
1 2 2 3
A , B and C will be 3, 1/9, and -4/3 respectively.
What is summation?Summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.
A summation, which is the result of adding two or more numbers or quantities, is also known as a sum. A summation always has an integer number of terms.
Given the summation
A = 3
B + C + A + B + B = 2 ⇒ 3B + A + C = 2
By substituting
3B + C = -1
Now,
C + A + C + A + C = 2
3C + 2A = 2
By substittuing
C = -4/3.
Again substituting
B = 1/9
Hence the digit ABC will be 3, 1/9, and -4/3 respectively.
For more information about summation
brainly.com/question/10777222
#SPJ1
In ΔUVW, w = 9 cm, v = 2.2 cm and ∠V=136°. Find all possible values of ∠W, to the nearest 10th of a degree.
Complete Question
In ΔUVW, w = 9 cm, v = 22 cm and ∠V=136°. Find all possible values of ∠W, to the nearest 10th of a degree.
Answer:
16.5°
Step-by-step explanation:
In ΔUVW, w = 9 cm, v = 22 cm and ∠V=136°. Find all possible values of ∠W, to the nearest 10th of a degree.
We solve using Sine rule formula
a/sin A = b/sin B
We are solving for angle W
∠V=136°
Hence:
22 /sin 136 = 9 /sin W
Cross Multiply
22 × sin W = sin 136 × 9
sin W = sin 136 × 9/22
W = arc sin [sin 136 × 9/2.2]
W = 16.50975°
W = 16.5°
The sun of the interior angle measures of a convex polygon is 900° how many sides does it have?
The sum of interiror angle is 900 degree.
The sum of interior angles of polygon is,
\((n-2)\times180\)Here, n is number of sides.
Determine the number of side for sum of interior angle is 900.
\(\begin{gathered} 900=(n-2)\cdot180 \\ \frac{900}{180}=n-2 \\ 5=n-2 \\ n=5+2 \\ =7 \end{gathered}\)So polygon has 7 sides.
Answer: 7 sides
What is the greatest common factor of 9 and 14?
Answer:
1
Step-by-step explanation:
The factors of 9 are 9, 3, 1The factors of 14 are 14, 7, 2, 11 is the only number that can be divided into 9 and 14 without a remainder.The greatest common factor GCF of 9 and 14 is 1.
What is the greatest common factor of the given numbers?Given the numbers in the question:
9 and 14
To find the greatest common factor of two numbers, we need to identify all the factors of each number and then determine the greatest number they have in common.
First:
Factors of 9 are 1, 3, and 9, as these are the whole numbers that divide 9 without leaving a remainder.
Next,
Factors of 14 are 1, 2, 7, and 14, as these are the whole numbers that divide 14 without leaving a remainder.
The common factors of 9 and 14 are 1 since it is the only number that divides both 9 and 14.
Therefore, the greatest common factor of 9 and 14 is 1.
Learn more about greatest common factors here: https://brainly.com/question/29584814
#SPJ6
HALPPPPP PLZZZ I'll give Brainliest for the first answer CORRECT
Answer:
Since it is area, it is most defined as base times height, so the larger rectangle would be 9x14 which is 126 and the smaller rectangle is 6x8 which is 48, and since they are together in one shape, you can add both areas which would give you an answer of 174
Step-by-step explanation:
Find the value of a in the equation below.
5 = x - 18
Answer:
There's no A so I'm going to assume you meant X
X = 23
Step-by-step explanation:
X is equal to 23, because 23 - 18 = 5
or 5 + 18 = 23
Factors for x2-2x-2=0
Answer:
Not factor-able