Step-by-step explanation:
Converting 20 minutes into second....
20 × 1 minute
20 × 60 seconds
1200 seconds...
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)
A number cube has edges of 8 centimeters. What is the surface area of the number cube?
-64 square centimeters
-192 square centimeters
-384 square centimeters
-512 square centimeters
Answer:
384 square centimeters
Step-by-step explanation:
The surface area formula for a cube is 6L^2
(L=length or in this case edge)
Plug in values and solve the formula.
SA=6L^2
SA=6(8^2)
SA=6(64)
SA=384 square centimeters
109, 94, 87, 103, 89, 112, 98, 115, 99 Find the lower quartile
109, 94, 87, 103, 89, 112, 98, 115, 99 Find the median.
2 QUESTIONS TO ANSWER PLEASE ANSWER THIS ASAP WILL GIVE BRAINIEST
Answer:
Below in bold.
Step-by-step explanation:
109, 94, 87, 103, 89, 112, 98, 115, 99
First arrange them in ascending order.
87 89 94 98 99 103 109 112 115
The median is the middle value:
= 99.
The lower quartile
= (89+94) / 2
= 183/2
= 91.5.
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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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
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
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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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
I NEED THIS DONE ASAP
Answer:
you didnt put anything
Step-by-step explanation:
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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PLEASE HELP!!! DUE BY THE END OF NIGHT (LOOK AT PICTURE PLEASE)
Answer: 60%, or D. hope this helps!
Step-by-step explanation:
Add all Blue - 30 + 20 = 50 so since theres 30 with no nuts its 30/50, divide them and you get 0.60, and as a percentage that is 60%
Answer:
D. 60%
Step-by-step explanation:
50 total blue candies (20 + 30)
30 of them contain no nuts according to the table, which means that is 30/50. This reduces to 6/10 or 0.6. As a percentage that is 60%
PLEASE HELP ASAP!!
Describe the transformations from the parent function, and define the function of the following graph.
Answer:
-x^2-4x+2
Step-by-step explanation:
(-2,6) (0,2) (2,-4)
You just really like math to answer this one ngl
Answer:
p(a tail on the second toss) = 4/8
p(exactly one head) = 3/8
p(a head on each of the last two tosses) = 2/8
Step-by-step explanation:
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.
Please explain it with EVERY step.
PLSS HELP ILL GIVE BRAINLIEST ASAP
Find the surface area of the regular pyramid
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.
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
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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Which expression calculates the time in hours and object takes to travel 38 miles at the speed of 2 m/h?
38/2
38—2
38+2
38 • 2
Reason:
Distance = rate*time
time = distance/rate
time = (38 miles)/(2 mph)
time = 38/2 hours
time = 19 hours
Julia earned $2,000 during the month of September. Use the paycheck statement to find the missing amounts and percent rates of the taxes Julia paid. I WILL MARK BRAINLIEST. only want answers
Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.
What is the income tax rate?It is defined as the tax rate applied on the solely earned money by a single entity.
Julia paid to social security as a payroll tax = 6.2% of 2000
= (6.2×2000)/100
= $124
Julia paid to Medicare as a payroll tax = 1.45% of 2000
= (1.45×2000)/100
= $29
Julia paid a percent of her income to the federal government as an income tax:
= (260/2000)×100
= 13%
Julia paid a percent of her income to state government as an income tax:
= (120/2000)×100
= 6%
Thus, Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.
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2
Which of the following is a rational number?
(10 Points)
о 3л
O 6√8
O√3+3
O4√16
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.
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]
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:
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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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.
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
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