An expression given is to subtract a – b – c from the sum of 3a – 2b + 4c and 3b – 2c .
What is the expression about?An expression in math is known to be the putting together of numbers, variables, etc.
For the expression above,
(3a - 2b + 4c) + (3b - 2c) - (a - b - c)
Therefore:
= 3a - 2b + 4c + 3b - 2c - a + b + c
The answer will be = 2a + 2b + 3c
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Please explain it with EVERY step.
Question 21:
Name the angle:
Answer: Either angle QPO or angle OPQ
Explanation:
When naming an angle, we always have the vertex as the middle letter. That vertex is P. It's where the two rays are joined.
So we could have the name "angle QPO" or "angle OPQ" since the order of the other letters doesn't matter. All that we care about is P is in the middle.
PLSS HELP ILL GIVE BRAINLIEST ASAP
Find the surface area of the regular pyramid
Select the correct answer.
Which graph shows a function and its inverse?
Answer:
Graph B
Step-by-step explanation:
Remember that for a function to have an inverse, the function must be 1-to-1. The two functions must also be symmetrical about the line y=x, which is apparent in the second graph.
Breanna purchased 8 oranges for $10.00. Jonathon purchased 6 oranges for $8.00. What was the unit rate for each purchase?
Answer:
Step-by-step explanation:
breanna's oranges were $1.25
jonathon's oranges were $1.33
B
A
Solve for x and then find the measure of ZB:
LB
Answer:
because measure A and B are supplemantery ,since the measure of $m(A°)+m(B°)=180°$ , then 6z-48+4z+38=180° → 10z=190 → z=19 , therefore
m(B°)=4(19)+38 → m(B°)=114 ,and m(A°)=6(19)-48=66°
2. Solve the following system of equations.
f(x) = 2x^2 – 5x– 7
g(x) = -4x^2+16
O (-1.2,17.88) and (-1.5, 17)
O (2.42,-7.4) and (-1.58, 5.9)
(-1.5, 17) and (3.7, 1788)
O (2.4,- 44) and (3.7, 17.88)
Answer:
Cited by 3 — —1.4 p F, ~ +~~• 3*,7 38 4.0 7 h m 0 16 44.20 17 25.10 —0.7 3326~7 ... O—1.2 —1.4 F ~ ,F~ ~ 7.8 38 26.6 m ~ .8 ~5 2~5 44;65 26 2.95 h -4
Step-by-step explanation:i know
Answer:
(2.42,-7.4) and (-1.58, 5.9)
Explanation:
f(x) = 2x² – 5x– 7g(x) = -4x² + 16Solve algebraically:
⇒ f(x) = g(x)
⇒ 2x² – 5x– 7 = -4x² + 16
⇒ 2x² - 5x - 7 + 4x² - 16 = 0
⇒ 6x² -5x -23 = 0
Now use the quadratic function: [tex]\boxed{ \sf x = \dfrac{-b\pm\sqrt{b^2 - 4ac} }{2a}}[/tex]Identify : a = 6, b = -5, c = -23
Solving Step Wise:[tex]\rightarrow \sf x = \dfrac{-(-5)\pm\sqrt{(-5)^2 - 4(6)(-2)} }{2(6)} \ = \ \dfrac{5\pm\sqrt{577} }{12} \ = \ 2.42, -1.58[/tex]
Solve for y : 2(2.42)² - 5(2.42) -7 and 2(-1.58)² - 5(-1.58) - 7 = -7.4, 5.9
Coordinates: (2.42,-7.4) and (-1.58, 5.9)
Use synthetic substitution to evaluate f(z) = 8z³ - 5z² +9z+9 when z = 5.
A function assigns the values. The value of f(z)=8z³-5z² +9z+9 will be 929.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The value of f(z)=8z³-5z² +9z+9, when the value of z is 5 will be,
f(z)=8z³-5z² +9z+9
f(5)=8(5)³-5(5)² +9(5)+9
f(5)= (8×125) - (5×25) + (9×5) + 9
f(5) = 1,000 - 125 + 45 + 9
f(5) = 929
Hence, the value of f(z)=8z³-5z² +9z+9 will be 929.
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Mary is inscribing a square in the circle shown, but she is having difficulty remembering the process.
Which summary describes the basic process for constructing a square inscribed in the circle?
A.
Create the perpendicular bisector of FO. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
B.
Set the compass width to the length of FO, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle, and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.
C.
Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
D.
Set the compass width to the length of FG, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle, and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.
Make the FG perpendicular bisector. Then draw the square using the perpendicular bisector's points of intersection with the circle, as well as points F and G is the correct procedure. Option C is correct.
What is the procedure for constructing a square inscribed in the circle?The procedure is as follows:
1. A circle's diameter is drawn.
2. Using the approach given in the perpendicular bisector of a segment, draw a perpendicular bisector of the diameter. This is also the circle's diameter.
3. The vertices of the inscribed square are the four points on the circle that result.
The summary describes the basic process for constructing a square inscribed in the circle is to create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
Hence,option C is correct.
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Answer: C
Step-by-step explanation:
C.
Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
What is the solution for x in the equation?
-2x+14+10x=34
Answer: The solution of x is 2.5
Step-by-step explanation: hope it helps:)
Answer: [tex]x=\frac{5}{2}[/tex]
Step-by-step explanation:
Simplify the expression:
[tex]-2x+14+10x=34[/tex]
[tex]\left(-2x+10x\right)+14=34[/tex]
[tex]8x+14=34[/tex]
Group all constants on the right side of the equation:
[tex]8x+14-14=34-14[/tex]
[tex]8x=34-14[/tex]
[tex]8x=20[/tex]
Isolate the x:
[tex]\frac{8x}{8}=\frac{20}{8}[/tex]
[tex]x=\frac{20}{8}[/tex]
[tex]x=\frac{5\cdot 4}{2\cdot 4}[/tex]
[tex]x=\frac{5}{2}[/tex]
The [tex]CORRECT[/tex]answer to this solution is: [tex]x=\frac{5}{2}[/tex]
[tex]calderonj4588~:)[/tex]
Select the correct answer. In which of the scenarios can you reverse the dependent and independent variables while keeping the interpretation of the slope meaningful? A. As the number of cigarettes smoked in a day increases, the risk for lung cancer increases. B. As the age of an infant increases, the height of the infant increases. C. As the number of vehicles in a city increases, the amount of pollution in the city increases. D. As the concentration of salt in water increases, the density of water increases. E. As the number of calls made by a cell phone increases, the cell phone bill amount increases. Reset Next
Answer:
In Option A, we can see that the reverse may not be true as the increase in the risk for lung cancer may not necessarily mean an increase in cigarette smoked in a day. For example, high risk of lung cancer may be due to high exposure to asbestos dust too.
In Option B, again we can see that the reverse may not be true as an increase in the height of an infant does not necessarily mean that the age of the infant is increasing too. For example the infant may have a rapid gain in height even if the age is not increasing as rapidly.
In Option C, too, that an increase in the amount of pollution in a city does necessarily mean that the number of vehicles in the city has increased. For example, this increase in pollution may be due to the establishment of a high pollution causing industry in the city or in it's vicinity.
Likewise, in Option D, an increase in the density of water does not necessarily mean that the concentration of salt in the water has increased.
Only in Option E do we see a possible reverse dependence happening because an increase in the phone bill amount does usually mean an increase in the number of calls made by the cell phone.
So, in the given list of Options only in Option E can we reverse the dependent and independent variables while keeping the interpretation of the slope meaningful.
Step-by-step explanation:
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the ohitcome of a single trial of a random experiment. Compute the probability of each of the following events. 00 Event A: The sum is greater than 9. Event B: The sum is not divisible by 6. Write your answers as fractions.
Answers:
P(A) = 1/6
P(B) = 5/6
=========================================================
Explanation:
Let's calculate P(A).
Refer to the dice chart below.
We have
3 copies of "10"2 copies of "11"1 copy of "12"There are 3+2+1 = 6 sums that are greater than 9.
This is out of 6*6 = 36 sums total
P(A) = 6/36 = (1*6)/(6*6) = 1/6
----------------------
Now to calculate P(B).
The multiples of 6 in the table are: 6, 12
There are 5 copies of "6"There is 1 copy of "12"There are 1+5 = 6 items that are a multiple of 6. This means we have 36-6 = 30 sums that aren't a multiple of 6
P(B) = 30/36 = (5*6)/(6*6) = 5/6
Side note: it's probably coincidence that P(A)+P(B) = 1 in this case.
Steve earns $10.00 per hour. he worked 40 hours at regular rate, 8 hours at time and a half and 8 hours at double time. compute the total wages.
The total wages of Steve will be equal to W=$560 worked for 56 hours.
What are wages?The amount of money charged by a worker for working for a particular company on an hourly or day basis is called the wages.
Here the time of the worker is given as . he worked 40 hours at a regular rate, 8 hours at a time and a half and 8 hours at double time and the earning per hour is $10.
The total time will be:-
40+8+(1÷2)x8x2=56
Now the total earnings will be given as:-
T=10x56=$560
Hence the total wages of Steve will be equal W=$560 worked for 56 hours.
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Pls help asap
ivan made strawberry jam and raspberry jam. he made enough strawberry jam to fill 2/3 of a jar. if he made 4/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?
write your answer as a fraction or as a whole or mixed number.
4/5 × 2/3
= (4×2)/(5×3)
=8/15
7. Parallelogram CDEF with vertices C(-4,-4),
D(-2, 0), E(6, 1), and F(4, -3) in the line y = 2.
I need the coordinates after the reflection.
As per the given data, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).
What is Parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other, and the opposite angles are also equal.
To reflect the parallelogram CDEF across the line y=2, we need to reflect each vertex across the line.
The line y=2 acts as a mirror, so the distance of each point to the line will remain the same before and after reflection, but the sign of the y-coordinate will change.
The reflection of point (x, y) across the line y=2 can be found by the formula (x, 2 - (y-2)) or (x, 4 - y).
Using this formula, we can find the coordinates of the reflected parallelogram:
- The reflected image of point C(-4,-4) is (-4, 8).
- The reflected image of point D(-2, 0) is (-2, 4).
- The reflected image of point E(6, 1) is (6, 3).
- The reflected image of point F(4, -3) is (4, 7).
Therefore, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).
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5TH GRADE WORK HELP PLEASE I DON'T KNOW HOW TO DO THIS
Answer:
1 yard = 3 feet
We will need to multiply the yard lengths by 3 to convert the measurements to feet.
8 feet x 3 = 24 yards >>>> 8 ft = 24 yards
6 feet x 3 = 18 yards >>>> 6 ft = 18 yards
5 feet x 3 = 15 yards >>>> 5 ft = 15 yards
Then you would do Length x width x depth x 7.5 (Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the pool, expressed in gallons.)
So...
24 x 18 x 15 x 7.5 =
48, 600
I hope this helps and this helps and I hope this is the answer you needed.
A country has 33 parks that allow camping and 101 parks that have
playgrounds. Of those, 16 parks both allow camping and have
playgrounds. The country has a total of 346 parks.
What is the probability of randomly selecting a park that allows
camping or has a playground? Write your answer as a fraction.
Answer:
134:346 Add the 33 to 101 to get first number, then total number of parks 346 is the second number, they may end up wanting you to to reduce the fraction.67:143
The top of a monument will be a rectangular pyramid. it will take 22 m3 of bronze to make the top that is 11 m tall. a rectangular pyramid with a base side of 2 meters. what is the missing dimension of the base of the pyramid? 1 m 2 m 3 m 4 m
The missing dimension of the base is 3 meters
How to determine the missing dimension of the base?The given parameters are:
Volume, V = 22Height, h = 11Base side, l = 2Let the missing dimension of the base be w.
So, we have:
V = lwh/3
This gives
22 = 2 * w * 11/3
Multiply both sides by 3
66 = 2 * w * 11
Divide both sides by 22
w = 3
Hence, the missing dimension of the base is 3 meters
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Match the mortgage types with their descriptions. it requires the buyer to make a 20% down payment. a large portion of principal is paid in a single payment at the end of the loan. it has the same interest rate for the life span of the loan. it requires a lower down payment and allows buyers to have a lower credit score. it initially has a fixed rate for three to five years and then adjusts at a predetermined time. it starts with a low interest rate and then adjusts throughout the duration of the loan.
The types of mortgages and their descriptions are:
Government insured - it requires the buyer to make a 20% down payment.Balloon mortgage - a large portion of principal is paid in a single payment at the end of the loan.Fixed rate - it has the same interest rate for the life span of the loan.Coventional - it requires a lower down payment and allows buyers to have a lower credit score.Hybrid - it initially has a fixed rate for three to five years and then adjusts at a predetermined time.Adjustable - it starts with a low interest rate and then adjusts throughout the duration of the loan.What are some types of mortages?There are various types of mortgages to take care of the people of different economic situations.
For instance, government insured mortgages help reduce mortgage rates but require a down payment of 20% of the mortgage and fixed rate mortgages allow for the same payment for the mortgage's life.
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Does anybody know this? I got told it was the third option but it was wrong.Find the area of the shaded sector use 3.14 for pi
Answer:
B) 35.4 ft²
Step-by-step explanation:
Area of a sector
[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]
Given:
[tex]\theta[/tex] = 110°r = 6 ft[tex]\pi[/tex] = 3.14Substitute the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{110^{\circ}}{360^{\circ}}\right) \cdot3.14 \cdot 6^2\\\\& =\left(\dfrac{11}{36}}\right) \cdot3.14 \cdot 36\\\\& =34.54\\\\ & = 35.4\: \sf ft^2 \: (nearest\:tenth)\end{aligned}[/tex]
Hi Student!
Looking at the problem, we first need to determine the important information that is given to us. We can see that we are given a radius of 6 feet and a central angle of 110 degrees. We will need to use both of these given values in our problem.
The second step that we need to take, after gathering our information, is to convert our degrees to radians. The purpose of this is because in our formula we must use radians instead of degrees. To convert degrees to radians, we multiply it by π/180.
[tex]110\ degrees\ *\ \frac{3.14}{180\ degrees}[/tex]
[tex]1.919[/tex]
Now that we have our angle converted to radians, we can plug our information into the formula and solve.
[tex]Sector\ Area = r^2\ *\ \frac{angle}{2}[/tex]
[tex]Sector\ Area = (6\ ft)^2\ *\ \frac{1.919}{2}[/tex]
[tex]Sector\ Area = 36\ ft^2\ *\ 0.9595[/tex]
[tex]Sector\ Area = 34.542\ ft^2[/tex]
Therefore, after solving the entire equation down to the end, we can see that our answer is 34.542 feet squared. This matches option B which would be our answer.
2
Which of the following is a rational number?
(10 Points)
о 3л
O 6√8
O√3+3
O4√16
how do i find the length of a=7.4 b=? c=3.6
Answer:
b=6.5
Step-by-step explanation:
a²+b²=c²
7.4²+b²=3.6²
b²=3.6²-7.4²
b²=12.96-54.76
b²= -41.8
√b²=√-41.8
b=6.465
b=6.5
The table below shows the hours the restaurant is open each week.
Monday through Friday 10 A.M.-7 P.M.
Saturday and Sunday 9:30 AM.-8 P.M.
How many hours is the restaurant open each week?
Answer:
66 hours
Step-by-step explanation:
Monday through Friday is 45 hours
and Saturday and Sunday is 21 hours
Question
There are a total of 101 students in a drama club and a yearbook club. The drama club has 13 more students than the yearbook club. How many students are in the drama club? the yearbook club?
Answer:
students in the drama club: 57
students in the yearbook club: 44
Step-by-step explanation:
101 - 13 = 88
88 / 2 = 44
101 - 44 = 57
44 in the drama club and 57 in the yearbook club
I f the mean of 5 observation is 15 and four of them are 11, 12, 19, 20. what is the fifth number
Answer:
13
Step-by-step explanation:
11 * 12 * 19 * 20 * 13 = 75
75/5 = 15
Answer:
13
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
let x be the fifth number , then
[tex]\frac{11+12+19+20+x}{5}[/tex] = 15
[tex]\frac{62+x}{5}[/tex] = 15 ( multiply both sides by 5 to clear the fraction )
62 + x = 75 ( subtract 62 from both sides )
x = 13
PLEASE HELP USING ALL MY POINTS FOR THIS!!! WILLMARK BRAINLIST
A basketball team allows people to buy either a ticket (T), or an signed autograph ticket (S). If two customers buy one ticket each, what is the sample space for this? Select all the choices that are included in the sample space.
SSS
TTT
TST
TT
ST
TS
TSS
T
SST
STS
S
TTS
STT
SS
An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The sample space for the given situation is {CC, AC, CA, AA}.
What is a sample space?An experiment's or random trial's sample space is the set of all conceivable outcomes or results. Set notation is commonly used to represent a sample space, and the potential ordered outcomes, or sample points, are given as elements in the set.
For the given situation, Let Buying a classical ticket be represented by T, while buying an autograph event ticket is represented by S.
Therefore, The sample space for buying either a classic ticket T or an autograph event ticket S from the table = {TT, TS, ST, SS}.
Hence, the sample space for the given situation is {TT, TS, ST, SS}.
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I NEED THIS DONE ASAP
Answer:
you didnt put anything
Step-by-step explanation:
I want a answer to my question
Answer:
50, 25
Step-by-step explanation:
The general pattern expressed by the sequence 800, 400, 200, 100 seems to be the previous number divided by 2. Therefore the next two numbers in this number pattern are most likely 100 / 2 = 50 and 50 / 2 = 25.
Answer:
50 and 25
Step-by-step explanation:
x / 2 is the constant
next number
100/2 = 50
next number
50/2 = 25
Parallel lines cut by transversal line what is the measurement of angle D?
Answer:
110
Step-by-step explanation:
The angle with given measure 110 and the angle that is represented with letter d are alternate angle and the measure of alternate angles is equal to each other
so the measure of d = 110
The following solid is a right pyramid with a square base. a) Calculate the length of AW b) Find the length of VW
Answer:
Step-by-step explanation: