Answer:
b=−ax+4a+3x
a= b−3x −x+4
Step-by-step explanation:
The values of a and b make the solution of the equation x = -5 are 1 and -6
How to determine the values of a and b?The equation is given as:
a(4-x) = -3x+b
When x = -5, we have:
a(4+5) = -3(-5)+b
Evaluate the products
9a = 15 + b
Set a = 1
9(1) = 15 + b
Make b the subject
b = 9 - 15
b = -6
Hence, the values of a and b make the solution of the equation x = -5 are 1 and -6
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what led to the development of the aviation industry
a. the development of texas’ wwII aircraft training facilities
b. the placement of the johnson space center
c. the petrochemicals industry
d. texas’ location and climate
Texas' location and climate led to the development of the aviation industry.
What is the significance of Texas in the development of the aviation industry?
The development of the aviation industry in Texas can be attributed to its favorable geographical location and climate. Texas is located in the southern part of the United States, making it a strategic location for air travel between the east and west coasts of the country. Additionally, its warm and dry climate provided ideal conditions for flight testing and training.
Reason what led to the development of the aviation industry :
Texas has a long history of aviation, with the Wright brothers conducting one of their earliest flight demonstrations in the state in 1910. The establishment of military bases during World War II and the subsequent development of aircraft training facilities in Texas further fueled the growth of the aviation industry in the state. Additionally, the placement of the Johnson Space Center in Houston helped to establish Texas as a hub for aerospace research and development. However, it is Texas' favorable location and climate that truly made it a prime location for the aviation industry. Its central location made it a strategic location for air travel and logistics, while its warm and dry climate provided ideal conditions for flight testing and training. Today, Texas remains one of the top states for aviation and aerospace industries, with major airports, aircraft manufacturers, and research institutions located throughout the state.
Therefore, option (d) is correct.
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Select the statement that correctly compares two numbers. (GIVING BRAINLIEST)
4.13 = 4.130
5.16 < 5.06
6.28 < 6.08
7.09 > 7.19
Answer:
4.13=4.130
If there is a 0 at the end of a decimal then you can drop it.
The statement that correctly compares two numbers is 4.13 = 4.130. The correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
From the given options the correct expression which represents equality will be 4.13 = 4.130. The value of both the numbers is the same. There is not any significance of 0 at the end of the expression.
Therefore, the statement that correctly compares two numbers is 4.13 = 4.130. The correct option is A.
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Out of his monthly salary, Josh spends 37.5% on his bills, on groceries, and on transportation. If he decides to save of the remaining part, what percentage of his salary will he save?
A.
10%
B.
6.25%
C.
7.5%
D.
8.75%
What is the value of x?
Can someone draw on the parallelogram and explain to me how it's solved in detail?
I want step by step explanations.
The value of x in the parallelogram is calculated to be 11
How to find the value of xThe value of x is solved using the property of a parallelogram which says that the opposite angles are equal
Applying this mathematically gives
7x - 2 = 75
collecting like terms
7x = 75 + 2
7x = 77
Isolating x by dividing through by 7
7x / 7 = 77 / 7
x = 11
so we found the value of x to be 11
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Translate to an equation please.
four less than thirteen times a number is equal to that number added to eight
Hi
let call "a number" X.
then we have: 4-13X = X + 8 ..
If sin R = 1/4, and sin Q = 2/3, then what is the length of PQ in centimeters? PR=5 cm
When sin R and sin q are equal to 1/4 and PR is equal to 5 cm, the length of PQ in centimeters is 1.875.
What about the Pythagorean theorem?Three positive numbers a, b, and c make up a Pythagorean triple if their sum, a2 + b2, equals their sum, c2. A typical way to write such a triple is (a, b, c), and a well-known example is (3, 4, 5). Any positive integer k is a Pythagorean triple if (a, b, c) is one as well.AC2 = AB2 + BC2 is the Pythagorean theorem's formula, where AB denotes the perpendicular side, BC the base, and AC the hypotenuse side. Any triangle that has a 90° angle on one side is subject to the Pythagoras equation.The Pythagorean Theorem has two very different proofs from Euclid, which are listed below. Book I, Proposition 47, also known as I 47 or Euclid I 47, was mentioned and demonstrated for the first time by Euclid.Therefore,
PQ/Sin (<PRQ) = PR/Sin (<PQR)
Substitute PR = 5 cm
Sin (<PRQ) = 1/4 , Sin (<PQR) =2/3
PQ/Sin (<PRQ) = PR/Sin (<PQR)
PQ/1/4 = 5/ 2×1/3
PQ = 1.875 cm
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Select the correct answer from each drop-down menu. Each graph shows the results of a transformation applied to function f where f(x) = (1/2)^x.
Complete the statement given that g(x) =f(kx). The graph of function g is graph Because the graph a function g is the result of a  applied to the graph of function F .
Given that g(x) =f(kx). The graph of function g is graph Z Because the graph a function g is the result of a horizontal compression applied to the graph of function F.
What is a graph?A graph can be described as a pictorial representation or a diagram that represents data or values in an organized manner.
The graph of the function g(x) = f(kx) is obtained from the graph of f(x) by a horizontal compression or stretching, depending on the value of k.
In conclusion, If k is greater than 1, then the graph of g(x) is obtained from the graph of f(x) by a horizontal compression.
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-x + 4 = x + 6
What the answer to this
Answer:
All you need to do is balance the equation.
x = -1
Step-by-step explanation:
Help picture below problem 5
Answer:
option A is the correct answer!!
Step-by-step explanation:
mark me brainliest
A) angel OJP
Explanation(name by its vertex, by the three points of the angle (the middle point must be the vertex),
Find the number of ways of
arranging the letters of the
words DANGER, so that no vowel
occupies odd place.
Answer: 6 * 24 = 144 ways.
Step-by-step explanation:
Solution:
Given word => DANGER.
The condition is that vowels can't occupy odd places so, we will let them occupy even places.
A total number of arrangements will be = 6 * 24 = 144 ways.
Answer: 6x24 = 144 ways.
find the mean of the distribution
Answer:
yyy
Step-by-step explanation:
Answer:Canst see
Step-by-step explanation:
sorry my guy
Can someone help me
The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.
How to find the scale factor ?To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.
The side length we will pick is AB which is:
= 6 - 2
= 4 units
The side length of the other triangle is A' B' :
= 3 - 1
= 2 units
The scale factor is:
= 2 / 4
= 1 / 2
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ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
The length of side AB in right angled triangle ABC will be 48 cm.
What is a right angled triangle?Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.
Given,
∠B= 90°, AC = 96 cm, ∠C = 30°
Now, we know, Trignometric ratio sin θ in triangle can be given by-:
sin θ = \(\frac{perpendicular}{hypotenuse}\)
From given figure,
Perpendicular= AB= ?
and Hypotenuse= AC = 96
and θ= 30°
Hence,
sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)
\(\frac{1}{2} = \frac{AB}{96}\) (∵ sin 30°= 1/2)
\(AB=\frac{96}{2}\)
\(AB= 48 cm\)
Thus, AB= 48 cm
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Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?
help please this is important
Answer:
The answer is option D.
Hope this helps you
2. Jessica's dining room in her new townhouse is 11 feet wide by 12 feet deep. How many square feet is it?
Answer:
132 sq ft
Step-by-step explanation:
Find the distance between the points (0, – 10) and ( – 9,2). Write your answer as a whole number or a fully simplified radical expression. Do not round.
Answer:
15
Step-by-step explanation:
(0 - 9)^2 + (- 10 - 2)^2
(-9)^2 + (-12)^2
81 + 144
sq rt of 225
A right triangle has sides of lengths 18 , 24 , and 30 units. What is the area of the triangle? Draw the shape on a grid to help find the area.
Answer:216
Step-by-step explanation:The formula to find the area of a triangle is Length times Base divided by 2. The length of the triangle could be 18 or 24, but that doesn’t matter. The base could also be 18 or 24, but that also doesn’t matter, because the hypotenuse (the longest part of a right triangle, in this case being 30), is not a part of the formula. 18 times 24 is 432, and 432 divided by 2 is 216. So the area is 216
Determine whether the following procedure is a binomial experiment.
If it is not, explain why. Drawing 5 marbles from a bag with 10 red, 8 green and 12 yellow marbles without replacement and finding out how many of these five are green.
a. Yes, this is a binomial experiment.
b. No, the outcomes cannot be classified into two categories.
c. No, the trials are not independent
Answer:
C. The trails are not independent.
The probability of drawing one marble will not be independent of others thus option (c) is correct.
What is probability?The probability of an event occurring is defined by probability.
Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
As per the given,
Drawing 5 marbles from a bag with 10 red, 8 green, and 12 yellow marbles without replacement.
In without replacement, the remaining balls in each draw will go to be decreased thus they will be dependent events so binomial distribution will not be applied.
Hence "One marble's likelihood of being drawn won't be independent of the other marbles".
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Points A, B, C, and D lie on circle M. Line segment BD is
a diameter. The measure of arc CD equals the measure
of arc DA.
M
D
B
A
D
What is the measure of angle ADM?
O22.5°
30.0⁰
45.0°
67.5°
The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.
Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.
Therefore, the intercepted arcs AD and CD have equal measures.
Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.
Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
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Can somebody plz help!!
Answer:
A
Step-by-step explanation:
there are 4 columns and 1 drama so it equals 1/4
The rectangle is 82m long and 52m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. BE SURE TO INCLUDE THE UNIT IN YOUR ANSWER
The area of the rectangle training field is 4264 m².
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the area of a rectangle is (length×width).
So, The area of the rectangle 82m long and 52m wide is,
= (82×52) m².
= 4264 m².
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Which problem can be solved using synthetic division?
The problem can be solved using synthetic division by dividing with the one of the factor of the polynomial.
Given:
Solving polynomial using Synthetic division:
Example:
Use synthetic division to divide f(x) = \(x^3+2x^2-5x-6\) by x-2.
x - 2 = 0
x = 2
2 1 2 -5 -6
0 2 8 6
1 4 3 0
so (x-2)(x^2+4x+3)
= (x-2)(x+3)(x+1)
x = 2,-3,1 are roots.
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Analyze the table below and determine what the transformation occurred
between f(x) and g(x).
In summary, the transformation between f(x) and g(x) is a vertical stretch with a scale factor of 3.
To analyze the table and determine the transformation between f(x) and g(x), we need to examine the changes in the values of x and the corresponding values of f(x) and g(x).
Looking at the table:
x | f(x) | g(x)
1 | 2 | 6
2 | 4 | 8
3 | 6 | 10
4 | 8 | 12
In general, transformations can include translations, reflections, stretches, compressions, and combinations thereof.
These transformations modify the original function in different ways, altering its shape, position, or both.
We can observe that the values of g(x) are obtained by multiplying the values of f(x) by 3. Specifically, g(x) = 3 * f(x).
Therefore, the transformation between f(x) and g(x) can be described as a scaling transformation, where the values of f(x) are multiplied by a factor of 3 to obtain the values of g(x).
This means that the transfFor example, if g(x) is obtained by shifting f(x) vertically or horizontally, there might be a constant added or subtracted to the function, or the x-values might be increased or decreased.
If g(x) is a scaled or stretched version of f(x), the function values may be multiplied or divided by a constant.
ormation from f(x) to g(x) involves a vertical stretch by a factor of 3. The function g(x) is essentially an amplified version of f(x), where each value of f(x) is multiplied by 3 to obtain the corresponding value of g(x).
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please answer i am giving brainiest and 100 points
Answer:
2x+5
Step-by-step explanation:
The answer is in the question.
2 and x is 2x and plus 5 is +5.
Answer:
2x+5
Step-by-step explanation:
the product 2 of x is 2x plus 5
2x+5
Selling Price = $ 504 and Gain % = 12%
Answer:
Step-by-step explanation:
sp = 504
gain = 12%
in this case
sp =100%+12%=504
112%=504
1%=504/112 =4.5
100%=450
so cost =$450
Hope im correct, if i am im glad to be of service.
9. Difference between the place values of "1" in 3116365 is
I NEED HELP PLEASE!!!
Passing through (7,-2) and perpendicular to the line whose equation is y=1/2x+2
Point slope form=
Slope-intercept form=
Answer:
yyou slope intrecept is already there
Step-by-step explanation:
2+2=4
Answer:
9x+3y=36
Step-by-step explanation:
boom
Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.your shift runs 8 hours. from the 8 hours, 30 minutes is allowed for lunch and 30 minutes for breaks. you must produce 78.0 units per shift. give the takt time in minutes.
The stated statement indicates that the takt time is 5.38 minutes for each section.
What is an example of takt time?Takt time is calculated as the amount of manufacturing time that is available divided by the volume of orders. Takt time, for instance, is two minutes if a factory makes widgets for 480 minutes a day and clients need 240 widgets per day. Similar to this, the takt time is one week if clients desire two new goods per month.
How does takt time change?Takt time depends on client demand and the amount of time that is available, and for many items, it is always changing as the demand from the market shifts. Takt time is unaffected by system changes, although cycle time is affected.
Briefing:Available hours are 7 * 60 minutes, which is 420 minutes.
No. of parts = 78 units
Available time for work / No of parts = Takt time
= 420/ 78
= 5.38 minutes per part
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