Answer:
a = -6
use pemdasp:arenthesis
e:xponents
m:ultiplication/
d:ivision
a:ddition/
s:ubtraction
Equation given:
4 -(2a + 7) = 9
When there is a minus (-) next to the parenthesis, there is an invisible negative one (-1).
4 -1(2a + 7) = 9
Distribute:
4 -2a -7 = 9
There is a like-term which is 4 and -7. 4 -7 = -3
Combine like-terms:
-3 -2a = 9
Solve the two-step equation:
-3 -2a = 9
Turn -3 to +3 and add 3 to 9
-3 -2a = 9
+3 +3
--------------
-2a = 12
Divide -2a to 12
12/-2 = -6
a = -6
PLEASE HELPE ME FAST
Answer:
S would now only be 3 units from R instead of 6 units from R. Move S three units to the left.
Step-by-step explanation:
Solve for h -110=13+3(4h-6)
Answer:
H= -35/4
Decimal form: -8.75
Explanation:
Subtract 13 from both sides. { -110 - 13 =3(4h - 6) }Simplify -110 -13 to -123 { -123 = 3 (4h - 6) }Divide both sides by 3 { -123/3 = 4h - 6 }simplify 123/3 to 41 { -41 = 4h - 6 }add 6 to both sides { -41 +6 = 4h }simplify -41 + 6 to -35 { -35 = 4h }divide both sides by 4 { - 35/4 = h }switch sides { h= - 35/4 }Components used in a cellular telephone are manu- factured with nominal dimension of 0.3 mm and lower and upper specification limits of 0.295 mm and 0.305 mm respectively. The x and R control charts for this process are based on subgroups of size 3 and they exhibit statistical control, with the center line on the x chart at 0.3015 mm and the cen- ter line on the R chart at 0.00154 mm.
Required:
a. Estimate the mean and standard deviation of this process.
b. Suppose that parts below the lower specifica- tion limits can be reworked, but parts above the upper specification limit must be scrapped. Estimate the proportion of scrap and rework produced by this process.
c. Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend
Answer:
1. Mean = r bar = 0.0154mm
Standard deviation = 0.0009096
2. Proportion of rework produced = 30ppm or 0.0003%
Proportion of scrap = 60ppm or 0.0006%
3 recommended value = 0.3000
Step-by-step explanation:
The mean = x bar = 0.3015mm
Standard deviation = r bar/d2
R bar = 0.0154 mm
d2 = 1.693mm
= 0.0154mm/1.693mm
= 0.0009096mm
B. Lower specification 0.295
P(x<0.295)
= ϕ(0.295-0.3015/0.0009096)
This gives us 0.00003
So we conclude that 30 ppm or 0.0003% of the parts produced by the process would be reworked
For scrap,
X>0.305 upper specifications
1-ϕ(0.305-0.3015/0.0009096)
= 1-0.99994
= 0.00006
So we conclude that 60 ppm or 0.0006% of the parts produced by the process would be scrapped.
c. to get the recommended value of the process mean
= (0.305+0.295)/2
= 0.6/2
= 0.3000
the recommended value would be 0.3000
Factor 2x^2 c^2 + 3xc^2- 35c^2
Tanya, Will, and Juan are playing an online game. Juan scores 101,473 points.
Tanya scores 9,879 few points than Juan and Will scores 9,853 more points than Tanya.
What is Will's score?
Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)
The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.
To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.
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PLEASE HELP MEE‼️‼️
Tell me which each 3 boxes should I pick for each one of them PLEASE READ them I beg (proportional relationships)
number one take the second
The price of a gift plus 14% delivery charge comes to a total cost of $19.38. What was the price of the gift? Step 1 of 2 : Describe the above situation as a linear equation, using "x" or "y" as variable names to describe the unknown quantity.
Answer:
$16.67
Step-by-step explanation:
$19.38*14%=$2.71
$19.38-2.71=$16.67
The table shows the numbers of cellular phone subscribers S (in millions) in the United States from 1999 through 2004, where t represents the year, with t=9 corresponding to t=1999. Use the regression feature of a graphing utility to find a linear model for the data and to identify the correlation coefficient. Use the model to find the year in which the number of subscribers exceeded 200 million.
Answer: The number
Step-by-step explanation: Cuz
How is this number read out loud 0.034
Answer:
0.034
Step-by-step explanation:
thirty-four thousandths
or
zero point zero three four
Sketch and label a net of the right triangular prism. Each square on the grid represents
1 square centimeter. Calculate the surface area of the prism by using its net.
The total surface area of the prism is determined as 216 cm².
What is the surface area of the prism?The surface area of the prism is calculated by applying the following formula.
The area of the two triangular faces is calculated as follows;
Area of the two triangles = 2 (¹/₂ x base x height )
Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )
Area of the two triangles = 24 cm²
The area of rectangular faces is calculated as follows;
A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )
A = 192 cm²
The total surface area of the prism is calculated as follows;
Area = 24 cm² + 192 cm²
Area = 216 cm²
The sketch of the triangular prism is in the image attached.
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he diameter of the circle is 18 m. Eugene incorrectly says that the circumference of the circle is about 113.04 m. What is the circumference of the circle? What mistake did Eugene make? Use 3.14 for pi.
Answer:
The circumference of the circle is \(C=56.55 \:m\).
Eugene confused the radius with the diameter to find the circumference of the circle.
Step-by-step explanation:
The circumference of a circle is the distance around the outside of the circle.
The circumference of a circle is found using this formula:
\(\begin{matrix} C=\pi \cdot d\\or\\ \, C=2\pi \cdot r \end{matrix}\)
From the information given the diameter of the circle is 18 m. Therefore, the circumference of the circle is
\(C=\pi \cdot d\\\\C=3.14 \cdot 18 \approx 56.55 \:m\)
Eugene used the wrong formula to find the circumference of a circle.
\(C=2\cdot(3.14)\cdot 18=113.04 \:m\)
He confused the radius with the diameter.
Answer:
Eugene used the wrong formula to find the circumference of a circle.
He confused the radius with the diameter.
Step-by-step explanation:
Rose's Botanical Garden produced flowers throughout the year. A graph demonstrating how many flowers she produced over a 10-month period is shown:
A graph of a curve with x axis labeled Months and y axis labeled Number of Flowers Produced. The x-axis ranges from 0 to 10 in increments of 1 and the y-axis ranges from 0 to 60 in increments of 10. The curve starts at about 1 comma 22 and goes up to 6 comma 60 at the highest point and ends at about 10 comma 36.
What can be interpreted from the domain of this graph?
The domain represents the total number of flowers produced each month.
The domain represents the total number of flowers produced in 10 months.
The domain represents a 120-month period of flower production.
The domain represents a 10-month period of flower production.
The domain of the graphed function is interpret as follows:
The domain represents a 10-month period of flower production.
How to obtain the domain of the function?The domain of a function is composed by the set containing all the possible input values for the function, hence it is composed by all the values of x assumed by the function.
The input variable, represented by the x-axis, is defined as follows:
Number of Months.
Hence the correct option is given by the fourth option, as x ranges from 0 to 10.
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A flare is shot straight up from a flare gun from a height of 6 m and with the velocity of 60 m/s what equation can be used to determine how many seconds it takes for the flare to hit the ground.
Answer: 12.3 seconds.
Step-by-step explanation: Hope It Helps :)
Please answer the question
Answer:
23,850 cubic inches
Step-by-step explanation:
I think I know your dad officer Chau he works at my middle school in Navarre. this was also kind of a basic and easy question I would recommend trying to figure it out yourself before turning to the internet.
2. What conjecture can you make about the eighteenth term in the pattern A, B, A, C, A, B, A, C?
(1 point)
The eighteenth term is C.
The eighteenth term is A.
There is not enough information.
The eighteenth term is B.
Answer:
The eighteenth term is B
Step-by-step explanation:
I could just write the pattern A B A C out until you get to the eighteenth term
A(1) B(2) A(3) C(4) A(5) B(6) A(7) C(8) A(9) B(10) A(11) C(12) A(13) B(14) A(15) C(16) A(17) B(18)
Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answer:
me too (help)
Step-by-step explanation:
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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Suppose that c is a number for which the equation c÷c = 1 is false. What is c?
True OR False a graph must be a straight line and go through the point (0, 0) in order to represent a proportional relationship
Answer:
TRUE graph must be a straight line and go through the point (0,0)
Step-by-step explanation:
Have a good day :)
A line segment has endpoints E(–2, 8) and F(10, –6). What is the midpoint? ( , )
The midpoint of the line segment with the endpoints is (4, 1)
How to determine the midpoint of the line segment with the endpoints?The endpoints are given as:
E= (-2,8) and F = (10, -6)
The midpoint of the line segment with the endpoints is calculated as
Midpoint = 0.5 * (x1 + x2, y1 + y2)
So, we have:
Midpoint = 0.5 * (-2 + 10, 8- 6)
Evaluate the sum
So, we have:
Midpoint = 0.5 * (8, 2)
Evaluate the products
So, we have:
Midpoint = (4, 1)
Hence, the midpoint of the line segment with the endpoints is (4, 1)
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Find the volume of the solid whose base is a triangle with vertices (0,0), (0,3), and (5,0). Slices perpendicular to the x-axis are semicircles. Enter answer using exact values.
The volume of the solid whose base is a triangle with vertices (0,0), (0,3), and (5,0) is 25π/12 cubic units.
What is a triangle?
A triangle is a closed geometric shape that is formed by connecting three line segments. These line segments are called sides, and the points where they meet are called vertices. A triangle has three sides, three angles, and three vertices.
To start, let's graph the triangle to get a better understanding of the problem:
(0,3) *
|\
| \
| \
| \
| \
(0,0) *-----*-----> x
(5,0)
The height of this slice is given by the line from the point (x,0) to the point (0,3), which has equation y = 3/5 * x + 0. The radius of the semicircle is half the height of the slice, which is given by the equation r = 3/10 * x.
The area of a semicircle is πr²/2, so the volume of this slice is:
V(x) = π * (3/10 * x)² / 2 * dx
To find the total volume of the solid, we need to integrate this expression over the range of x values that covers the entire base of the solid, which is from x=0 to x=5:
V = ∫₀₅ π * (3/10 * x)² / 2 dx
V = π/20 * ∫₀₅ x² dx
V = π/20 * [x³/3] from 0 to 5
V = π/20 * (5³/3)
V = π/4 * (25/3)
V = 25π/12
Therefore, the volume of the solid is 25π/12 cubic units.
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6) 1,1,3,8,19, 41
a) 60
b) 81
c) 90
d) 101
Analogias
The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.
To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:
1 1 3 8 19 41
0 2 5 11 22
Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.
Let's check if the differences between consecutive terms are square numbers:
2 = 1²
5 = 2² + 1²
11 = 3² + 2²
22 = 4² + 3²
Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:
41 + 57 = 98
Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.
Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.
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Misty’s surgery lasted 214 hours. Convert the time to seconds.
Answer:
770,400
Step-by-step explanation:
770,400 seconds
If 11 times a number is added to twice the number, the result is 78.
Answer:
x = 6
Step-by-step explanation:
Plot the points (-4,-3), (-3,-5), (0-4), (0.3), and
2.3) and connect them to form a polygon
V
(-2,3)
2
R9
What is the length of the vertical side?
2 units
3 units
2
4
-2.
6 units
7 units
The polygon is complete
Reset
mentar
Answer: 7 units
Step-by-step explanation: i plotted the point and got it right
:D
Answer this with explanation please
The measure of angle MTU m∠MTU is 114 degree.
What is the measure of angle MTU?From the figure in the diagram:
Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.
m∠STU = 145°m∠STM = 31°m∠MTU = ?Since, angle STU composes or is the sum of angle STM and angle MTU.
To find angle MTU, simply subract angle STM from angle STU.
m∠STU = m∠STM + m∠MTU
Hence:
m∠MTU = m∠STU - m∠STM
Plug in the given values and simplify
m∠MTU = 145° - 31°
Subtract 31 from 145
m∠MTU = 114°
Therefore, angle MTU measure 114°.
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help lol 30 points. i don’t understand the test is timed. brainliest once i get 2 answers.
Answer:
mmmmmmm........
Step-by-step explanation:
di ko po alam
When you add a positive number and negative number how can you tell whether the sun will be positive or negative?
Answer:
Because
Step-by-step explanation:
(+) × (-) = (-)
(-) × (+) = (-)