Answer:
[tex]\frac{xy-xz}{y-z} = x[/tex]
Step-by-step explanation:
Hello!
We can simplify the fraction by factoring and canceling out common factors.
Simplify[tex]\frac{xy-xz}{y-z}[/tex][tex]\frac{x(y - z)}{y-z}[/tex][tex]\frac{x(\not y\not-\not z)}{\not y \not- \not z}[/tex][tex]x[/tex]We are left with x as the final simplified form.
find the perimeter of a triangle where one side is 2 inches, one side is 6 inches and another side is 10 inches.
(a) 2in.
(b) 9in.
(c) 36in.
(d) 18in.
Answer:
(d) 18 in.
Step-by-step explanation:
When we're given the three sides of a triangle, one formula we can use for perimeter of a triangle is:
P = s1 + s2 + s3, where
P is the perimeter,and s1, s2, and s3 are the three sides:P = 2 + 6 + 10
P = 8 + 10
P = 18
Thus, the perimeter of the triangle is 18 in.
Please help me understand this problem!
The requried solution of the given derivative has been given below.
If F(t) is an antiderivative of t⁵, then we have:
F'(t) = d/dt(F(t)) = t⁵
According to the Second Fundamental Theorem of Calculus, we have:
[tex]\int_1^x t^5 dt = F(x) - F(1)[/tex]
Using this formula, we can find [tex]d/dx(\int_1^x t^5 dt)[/tex] as follows:
[tex]d/dx(\int_1^x t^5 dt) = d/dx(F(x) - F(1)) = F'(x) - 0 = t^5[/tex]
Therefore, [tex]d/dx(\int_1^x t^5 dt) = t^5.[/tex]
Learn more about derivatives here:
https://brainly.com/question/25324584
#SPJ1
PLS HELP! In the figure below, m angle SUT=123 and m arc PR= 124 . Find m arc ST.
The measure of the arc of the circle is mST = 122°
Given data ,
Let the circle be represented as C
where the two chords of the circle are RT and PS
And the chords RT and PS intersect at the point U
Now , when two chords intersect inside a circle, four angles are formed. At the point of intersection, two sets of congruent vertical angles are formed in the corners of the X that appears.
On simplifying , we get
m∠SUT = ( 1/2 ) ( mPR + mST )
123° = ( 1/2 ) ( 124° + mST )
On solving for mST , we get
( 124° + mST ) = 246°
Subtracting 124° on both sides , we get
mST = 122°
Hence , the measure of arc mST = 122°
To learn more about circle click :
https://brainly.com/question/28391204
#SPJ1
what is the probability of spinning a blue, then green
The probability of getting Blue then Green while spinning the wheel is
3 / 32
Probability is a branch of mathematics that helps us to understand the likelihood of an event occurring. It is represented by a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. Probability can be used to make predictions and informed decisions in real-world situations.
From the given figure we can find out the following information
The probability of getting Blue While spinning the wheel = 3/8
The probability of getting Green While spinning the Wheel = 2 / 8
The probability of getting Blue then Green while spinning the wheel
= 3/8 * 2/8
= 6/64
= 3/32
Therefore, probability of getting Blue then Green while spinning the wheel is 3 / 32
To know more Probability about here
https://brainly.com/question/11234923
#SPJ1
(x+3)(x+7)=0
Problem answered, solution and why!
Answer:
the solution set is { - 7, - 3 }
Step-by-step explanation:
(x + 3)(x + 7) = 0 ← in factored form
equate each factor to zero and solve for x
x + 3 = 0 ( subtract 3 from both sides )
x = - 3
x + 7 = 0 ( subtract 7 from both sides )
x = - 7
solution set is { - 7, - 3 }
Suppose that a safety deposit box at your bank costs $45/month to rent. How much would
it cost for you to rent the box for 15 years?
Can you guys help me with this please
Step-by-step explanation:
Using rules of logs :
9 loga x = loga x^9
Then using another rule:
loga x^9 + loga y = loga (x^9 * y )
A triangle has sides with lengths of 13 meters, 18 meters, and 8 meters. Is it a right triangle?
Answer:
The Pythagorean Theorem describes the relationship among the three sides of a right triangle
[tex]a^{2} +b^{2} = c^{2} \\8^2+13^2=c^2=208 \\\sqrt{208}=14.4\\ 14.4 \neq 18[/tex]--> not a right triangle
8 cosθ-1=0 to the nearest 0.1°
Answer:
82.8°
Step-by-step explanation:
We can solve for θ by first isolating cosθ:
8 cosθ - 1 = 0
8 cosθ = 1
cosθ = 1/8
We can find the inverse cosine of 1/8:
θ = cos⁻¹(1/8) = 82.8191°
Rounding to the nearest 0.1°, we get:
θ ≈ 82.8°
In triunghiul ABC ,A este de 75 grade si B este de 45 grade. Daca AD perpendicular BC, D apartine BC si BE perpendicular AC, E apartine AC iar AB=12 Radical din 6 cm calculati lungimile AD si BE si Perimetrul ABC
Answer:
just start scamming
Step-by-step explanation:
There is a multiple choice quiz with six questions and five possible answers and only one choice is correct what is the probability you get your first and only incorrect answer on the fourth question?n
Answer:1/1875
Step-by-step explanation:
the probability of getting any one question correct is 1/5, and the probability of getting any one question incorrect is 4/5.
The probability of getting the first three questions correct and the fourth question incorrect can be calculated as follows:
(1/5) * (1/5) * (1/5) * (4/5) = 4/3125
Since there are six possible positions for the incorrect answer to occur (first, second, third, fourth, fifth, or sixth), the probability of getting the first and only incorrect answer on the fourth question is 4/3125 * 1/6 = 1/1875.
<
Students measured the length of several pencils and recorded their data in a table.
Pencil Lengths (Inches)
3 7/8, 5 1/4, 4, 6 1/8, 4 1/2, 5 1/4, 3 1/2, 5 3/8, 4 3/4, 5
The students will make a line plot of the data. They will use only one fraction in their scale. They must be
able to plot all of the data above a label. Which should this fraction be?
A. tenths
B. eighths
C. fourths
D. halves
The required, the students use eighths as their scale, they will be able to plot all of the data points above the label. Option B is correct.
To make a line plot, the students will mark a number line with a scale that includes all the data points. Since the given data includes fractions with denominators of 2, 4, and 8, it would be best to choose a fraction that is a factor of all of these denominators. The only option that satisfies this condition is B. eighths.
To see why, note that 1/8 is a factor of 1/2 (4/8), 1/4 (2/8), and 1/8 (1/8). Therefore, if the students use eighths as their scale, they will be able to plot all of the data points above the label. Using any other fraction would require rounding some of the data points, which could lead to a loss of information.
Learn more about fractions here:
https://brainly.com/question/10354322
#SPJ1
Be sure to round the mileage to nearest whole mile
The miles you drive must be greater than or equal to 183 miles in order for Plan B to save you money.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.For the mileages, we have that:
The slope is the cost per mile.The intercept is the daily cost.Hence the functions are given as follows:
Plan A: A(x) = 30 + 0.14x.Plan B: B(x) = 50.Cost B is the better plan when:
A(x) > B(x)
Hence:
30 + 0.14x > 50
0.14x > 20
x > 20/0.14
x > 142.9 miles -> rounded to 143.
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1
Which best describes the solution set for the compound inequality below?
2(x + 7) – 1 > 15 or 3(x + 2) < 2x + 7
no solution
x = 1
all real numbers except x = 1
all real numbers
The statement that best describes the solution to the inequality in this problem is given as follows:
all real numbers except x = 1.
How to solve the inequality?The inequality in the context of this problem is defined as follows:
2(x + 7) – 1 > 15 or 3(x + 2) < 2x + 7
The solution to the first inequality is given as follows:
2(x + 7) – 1 > 15
2x + 14 > 16
2x > 2
x > 1.
The solution to the second inequality is given as follows:
3(x + 2) < 2x + 7
3x + 6 < 2x + 7
x < 1.
The or operation includes the elements that belong to the solution set of at least one of the inequalities, hence the solution is given as follows:
all real numbers except x = 1.
More can be learned about inequalities at brainly.com/question/25275758
#SPJ1
If ΔABC is dilated from point A by a scale factor of one half, which of the following equations is true about segment D prime E prime?
segment D prime E prime = one half segment DE
segment D prime E prime = two segment DE
segment D prime E prime = segment DE
segment D prime E prime = three segment DE
An equation that is true about segment D prime E prime include the following: A. segment D prime E prime = one half segment DE
What is a dilation?In Geometry, a dilation is a type of transformation which typically changes the side lengths of a geometric object, but not its shape.
In this scenario and exercise, we would dilate the coordinates of the vertices of triangle ABC (ΔABC) by applying a scale factor of 1/2 that is centered at point A as follows:
D'E' = 1/2 × DE
In conclusion, line segment D'E' is equal to one half line segment DE.
Read more on dilation and scale factor here: brainly.com/question/4421026
#SPJ1
ANSWER ASAP!! (GIVING BRAINLIEST IF CORRECT!!)
A basketball player guesses her team will score 54 points during the game. The player's team actually scores 60 points.
What is the percent error in the player's guess?
A: 5%
B: 10%
C: 12%
D: 15%
Answer:
6 divide by 60 into 100
Step-by-step explanation:
is 10
What are the first five terms of the sequence a_{n} = - 11 * (1/2) ^ (n - 1)
A) -11, - 11/2 - 11/4 - 11/8 - 11/16
B) -11/2 - 11/4 - 11/16 - 11/32 - 11/8
C) -11, 5, - 9/4 - 4/3 - 7/8
D) -11, - 11/2 - 11/3 - 11/4 - 11/5
All the first five terms of sequence are,
A) -11, - 11/2 - 11/4 - 11/8 - 11/16
We have to given that;
Rule for sequence is,
⇒ a (n) = - 11 × (1/2)ⁿ⁻¹
Now, WE can find first five terms of sequence as;
⇒ a (n) = - 11 × (1/2)ⁿ⁻¹
Put n = 1;
⇒ a (1) = - 11 × (1/2)¹⁻¹
⇒ a (1) = - 11
Put n = 2;
⇒ a (n) = - 11 × (1/2)ⁿ⁻¹
⇒ a (2) = - 11 × (1/2)²⁻¹
⇒ a (2) = - 11 × (1/2)¹
⇒ a (2) = - 11 / 2
Put n = 3;
⇒ a (n) = - 11 × (1/2)ⁿ⁻¹
⇒ a (3) = - 11 × (1/2)³⁻¹
⇒ a (3) = - 11 × (1/4)
⇒ a (3) = - 11 / 4
Put n = 4;
⇒ a (n) = - 11 × (1/2)ⁿ⁻¹
⇒ a (4) = - 11 × (1/2)⁴⁻¹
⇒ a (4) = - 11 × (1/2)³
⇒ a (4) = - 11 / 8
Put n = 5;
⇒ a (n) = - 11 × (1/2)ⁿ⁻¹
⇒ a (5) = - 11 × (1/2)⁵⁻¹
⇒ a (5) = - 11 × (1/2)⁴
⇒ a (5) = - 11 / 16
Thus, All the first five terms of sequence are,
A) -11, - 11/2 - 11/4 - 11/8 - 11/16
Learn more about the Arithmetic sequence visit:
https://brainly.com/question/6561461
#SPJ1
(05.03 MC)
A regular heptagon with 7 sides is inscribed in a circle with radius 8 millimeters. What is the area of
the figure? (3 points)
O 25.019 mm.2
O 150.112 mm.2
O 175.130 mm.²
205.639 mm.2
Answer:
i think 25.019mm2 is the correct answerrrrrrrr.
Answer:
175.130 mm^2
Step-by-step explanation:
Took the test.
If you flip two coins 68 times, what is the best prediction possible for the number of times both coins will land on heads?the number of times it will land on tails?
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.
If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.
What is the probability of getting two heads?The possible outcomes when two coins are flipped are;
head - head = HH
tail - tail = TT
Head and tail = HT
Tail and head = TH
The probability of getting two heads = 1/4
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;
Expected value = (68 flips) x (1/4 probability of getting HH) = 17
The probability of getting two tails = 1/4
Expected value = 68 x 1/4 = 17
Learn more about probability here: https://brainly.com/question/24756209
#SPJ1
There are 1000 students at a college. In January, æ of these students had passed
their driving test.
Between January and April, the number of students who had passed their driving
test increased by 20%, and the number of students who had not passed
decreased by 5%. No one left or joined the college during this time.
a) Explain why the number of students who had not passed their driving test yet
was 0.95(1000 - x) in April.
b) Hence explain why 1.2x +0.95(1000-x) = 1000.
c) How many students had passed their driving test in January?
a) In April, the number of students who had not passed their driving test decreased by 5%.
b) The equation is 1.2x + 0.95(1000 - x) = 1000.
c) 200 students passed their driving test in January.
a) At the beginning, of January, x students had passed their driving test, then the remaining number of students who had not passed their driving test was (1000 - x).
In April, the number of students who had not passed their driving test decreased by 5%, which means the remaining number of students who had not passed their driving test is 0.95 times the original number (1000 - x).
b)
The number of students who had passed their driving test increased by 20%, which means the new number of students who passed their driving test is 1.2 times the original number (x).
The number of students who had not passed their driving test decreased by 5%, which means the new number of students who had not passed their driving test is 0.95 times the original number (1000 - x).
Therefore, we can write the equation 1.2x + 0.95(1000 - x) = 1000.
c) We can solve for x in the equation 1.2x + 0.95(1000 - x) = 1000.
Expanding the equation, we get:
1.2x + 950 - 0.95x = 1000
0.25x = 50
x = 200
Therefore, 200 students passed their driving test in January.
Learn more about the equations here:
brainly.com/question/10413253
#SPJ1
Directions: Transformations from the parent function y = x² are described
below. Write an equation to represent the function.
13, translated 2 units right
14. translated 5 units up
15. translated 3 units left and 4 units
down
17. reflected over the x-axis, then
translated 3 units down
16. translated 7 units right and 4
units up
18. reflected over the x-axis, then
translated 5 units right and 2 units
down
19. vertically compressed by a factor 20. vertically stretched by a factor
of 1/3, then translated 8 units up
of 2, reflected over the x-axis,
then translated 4 units left
The result of the transformation of the parent function y = x² are;
13. y = (x - 2)²
14. y = x² + 5
15. y = (x + 3)² - 4
16. y = (x - 7)² + 4
17. y = -(x²) - 3
18. y = -(x - 5)² - 2
19. y = (1/2)x²
20. y = (3x²) + 8
What are the results of the transformations?The transformations on the parent function y = x² can be described as;
13. Translated 2 units right:
The equation will be y = (x - 2)²
14. Translated 5 units up:
The equation will be y = x² + 5
15. Translated 3 units left and 4 units down:
The equation will be y = (x + 3)² - 4
16. Translated 7 units right and 4 units up:
The equation will be y = (x - 7)² + 4
17. Reflected over the x-axis, then translated 3 units down:
The equation will be y = -(x²) - 3
18. Reflected over the x-axis, then translated 5 units right and 2 units down:
The equation will be y = -(x - 5)² - 2
19. Vertically compressed by a factor of 2:
The equation will be y = (1/2)x²
20. Vertically stretched by a factor of 1/3, then translated 8 units up:
The equation will be y = (3x²) + 8
learn more on transformation here;
https://brainly.com/question/27224272
#SPJ1
How much less would Maria have to spend to have $70 per month available for saving?
A. $45.95
B. $75.95
C. $25.95
D. $24.05
Maria have to spend $ 45.95 less than what she spends now in order to save $ 70 per month.
Hence the correct option is (A).
From the given Maria's Income Statement we can see that,
Her total income from Fast food Restaurant = Gross Pay + Allowance = $ 580 + $ 50 = $ 630.
Total deductions by taxation = Federal Income Tax + State Income Tax + Social Security Tax = $ 58 + $ 16 + $ 24.36 = $ 98.36
So here net income = $ (630 - 98.36) = $ 531.64.
Here total expenses = Auto + Clothing + Food + Entertainment + Other = $ 290.02 + $ 92.29 + $90.28 + $ 32 + $ 3 = $ 507.59
So Her Savings = Net Income - Total Expenses = $ 531.64 - $ 507.59 = $ 24.05.
Now in order to save $ 70 per month Maria has to spend = $ 70 - $ 24.05 = $45.95 less than she spend now.
Hence the correct option will be (A).
To know more about Income Statement here
https://brainly.com/question/30705383
#SPJ1
Assessment
What is a brokerage account?
A. An online account used to pay expenses.
B. A deposit account at a financial institution that allows
withdrawals and deposits.
C. An interest-paying deposit account at a financial
institution that provides a modest interest rate.
D. An account used to buy investments like stocks, bonds,
and mutual funds.
5/10
Answer:
Step-by-step explanation:
A brokerage account is an investment account that allows you to buy and sell a variety of investments, such as stocks, bonds, mutual funds, and ETFs.
Therefore the answer is D
A circle with circumference 72π is divided into 10 congruent sectors. Find the area of two sectors. Round to the nearest tenth
Byron worked fewer than 20 days last month. Write an inequality for d, the number of days Byron worked last month.
Answer:
[tex]d < 20[/tex]
Step-by-step explanation:
The key words in this question are fewer than, which signifies the less than sign. So, the number of days that Byron worked is less than 20.
Pablo mixed 2 1/2 quarts of fruit juice with 1 gallon of seltzer. If each serving is 8 fluid ounces, how many servings did Pablo make?
A. 20
B. 26
C. 32
D. 36
Is the inverse of the function shown below also a
function? Explain your answer.
DONE ✔
AY
y
4
We can see here that it is true that the inverse of the function shown is also a function. This is true because the graph of the inverse of the function shown by reflecting the red graph about the line y = x.
What is a function?A function in mathematics is a unique connection between a group of inputs and their results. A function is a rule that specifically assigns one element from another set to each element in a set.
The set of inputs is referred to as the function's domain, while the set of outputs is referred to as the function's codomain.
From the given graph, we can deduce that the resulting graph is true for all x values and for all y values; it passes the vertical line test.
Learn more about function on https://brainly.com/question/11624077
#SPJ1
Los estudiantes de la escuela organizan reuniones del equipo verde para planear maneras de proteger el medioambiente. Esta semana hay 144 miembros en la reunión, que es ek 90% del total del grupo
¿Cuál es el número total de miembros en el equipo verde?
If this week there are 144 members at the meeting, which is 90% of the total group, the total number of members on the green team is 160.
If 144 members represent 90% of the total group, we can set up the equation:
144 = 0.9x
where x is the total number of members on the green team.
To solve for x, we can divide both sides of the equation by 0.9:
144 ÷ 0.9 = x
This simplifies to:
160 = x
To check our answer, we can verify that 144 is indeed 90% of 160:
144 ÷ 160 = 0.9
which confirms that our answer is correct.
To learn more about percentage click on,
https://brainly.com/question/13970098
#SPJ1
Eight fourths is proportional to what value?
Eight fourths is proportional to the value of 2/1
What is proportionality of values?Proportionality of values means the relationship that exists between two variables where their ratios are equivalent to each other.
A ratio that is made up of two variables is said to be proportional to another ratio when after being simplified one arrives at the same ratio.
Using the 8:4 or 8/4. This is equivalent to 2/1 and also equivalent to 16/8 as the simplification leads to 2/1
Learn more about ratios here:
https://brainly.com/question/25927869
#SPJ1
Here is a map of an island with cities A, B and C Jeremy drives
1) The three figure bearing of B from A when B is due East of A is 090°
2) Note that Kenzi drives 60km further than Jafar.
What is bearing?A) A bearing is the angle in degrees measured clockwise from north in mathematics. Bearings are often specified in three figures. 30° clockwise from north, for example, is generally represented as 030°.
Hence in the above case of option A, The three figure bearing of B from A when B is due East of A is 090°
B) To find or compute how much further Kenzi drives than Jafar, we need to convert the distances on the map to their real-world distances using the given scale of 1cm to 200km.
So A to B for Jafar -
Distance from A to B = 2.4cm x 200km/ cm = 480km
Then for B to C for Kenzi -
Distance from B to C = (1.2cm + 1.5cm) x 200km/cm
= 2.7cm x 200km/cm
= 540km
So to determine how much further Kenzi drives compared to Jafar
Kenzi drives 540km - Distance from A to B
= 540km - 480 km = 60km
Therefore, Kenzi drives 60km further than Jafar.
Learn more about bearing at:
https://brainly.com/question/24340249
#SPJ1
Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.