Answer:
[tex]2\sqrt{2}[/tex]
Step-by-step explanation:
1/2 power = square root so [tex]\sqrt{8} =[/tex] [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] = [tex]2\sqrt{2}[/tex]
A recipe for pancake batter uses 2 cups of flour and makes 10 small pancakes. How many cups of flour are needed to make batter for 25 small pancakes? *
A3 B4 C5 D6
Answer:
C5
Step-by-step explanation: 10 x 2 = 20 so you add the 2 to the other one and get 4. Then half of 10 is 5 and half of 2 is 1, so add 1 to 4 and your answer is 5.
10x2= 20 +5= 25 Answer:5
Find the value of each variable so that the quadrilateral is a parallelogram.
-2x + 6
X+ 12
y + 23
X =
y =
Answer:
x = -2
y = -5
Step-by-step explanation:
Properties of a Parallelogram
Two pairs of opposite sides are parallel. Two pairs of opposite sides are equal in length. Two pairs of opposite angles are equal in measureThe diagonals bisect each other. Adjacent angles are supplementary. Each diagonal divides the quadrilateral into two congruent triangles.Each diagonal is divided into two measures expressed with variables. Since diagonals bisect each other:
y + 23 = -4y - 2. And
-2x + 6 = x + 12
Solve the first equation. Adding 4y:
5y + 23 = - 2
Subtracting 23:
5y = -25
Dividing by 5:
y = -5
Solve the second equation. Subtracting x and 6:
-3x = 6
Dividing by -3:
x = -2
Solution:
x = -2
y = -5
Explain when you would reverse the direction of the inequality when solving an inequality problem.
Express as a fraction or mixed number 1.5%
Answer:
3/2 g.oogle if you want the explanation of your work.
I will give brainlist
Answer:
J
Step-by-step explanation:
hope it helps
The following integrals calculate areas of regions in the xy-plane. Say what shape each integral gives the area of. Be specific; for example, if the shape is a rectangle, give the base and height of the rectangle. Include a sketch of the region, showing the variable of integration, an arbitrary slice, and any other relevant quantities.
a. ∫ 3xdx
b. ∫ √15-y^2dy
c. ∫ √81- x^2 dx
d. ∫ (5- y/7)dy
Answer:
a. [tex]\frac{3}{2}[/tex]
b. [tex]\frac{15\pi }{4}[/tex]
c. [tex]\frac{81\pi }{2}[/tex]
d. [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
P.S - The exact question is -
a. [tex]\int\limits^1_0 {3x} \, dx[/tex]
y = 3x
Shape of the given integral = A Triangle
Area of Triangle = [tex]\int\limits^1_0 {3x} \, dx[/tex] = [tex]\frac{1}{2}[/tex]×1×3 = [tex]\frac{3}{2}[/tex]
The graph of integral is as follows :
b.[tex]\int\limits^\15 _0 {\sqrt{15 - y^{2} } } \, dy[/tex]
x = [tex]\sqrt{15 - y^{2} }[/tex]
⇒x² = 15 - y²
⇒x² + y² = 15
⇒x² + y² = (√15)²
Shape of the integral = Quarter circle of radius √15
Area of Quarter circle = [tex]\int\limits^\15 _0 {\sqrt{15 - y^{2} } } \, dy[/tex] = [tex]\frac{1}{4}[/tex]×[tex]\pi[/tex]×r² = [tex]\frac{1}{4}[/tex]×[tex]\pi[/tex]×(√15)² = [tex]\frac{15\pi }{4}[/tex]
The graph of the following integral is as follows :
c.[tex]\int\limits^9_-9 {\sqrt{81 - x^{2} } } \, dx[/tex]
y = [tex]\sqrt{81 - x^{2} }[/tex]
⇒y² = 81 - x²
⇒y² + x² = 81
⇒y² + x² = 9²
Shape of the integral = Semi circle of radius 9
Area of semi circle = [tex]\int\limits^9_-9 {\sqrt{81 - x^{2} } } \, dx[/tex] = [tex]\frac{1}{2}[/tex]×[tex]\pi[/tex]×r² = [tex]\frac{1}{2}[/tex]×[tex]\pi[/tex]×9² = [tex]\frac{81\pi }{2}[/tex]
The graph of the following integral is as follows :
d. [tex]\int\limits^7_0 {5 - \frac{y}{7} } \, dy[/tex]
x = 5 - [tex]\frac{y}{7}[/tex]
⇒[tex]\frac{y}{7}[/tex] = 5 - x
⇒y = 35 - 7x
At y = 0 , x = 5
At y = 7 , x = 4
Shape of the integral = A triangle
Area of Triangle = [tex]\frac{1}{2}[/tex]×(5-4)×7 = [tex]\frac{1}{2}[/tex]×(1)×7 = [tex]\frac{7}{2}[/tex]
The graph of the integral is as follows :
Mayor factor común de 24y 76
Answer:
4
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST
The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below: A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 13, 26, 39, 52, 65, 78. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 26. The second straight line joins 2, 26 and 3,26 and the third straight line joins ordered pair 3,26 with the ordered pair 5,52. Which of the following best describes the motion of the car shown? (1 point) It travels for 2 hours, then stops for 3 hours, and finally travels again for 2 hours. It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours. It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
Answer:
The correct answer is the last choice. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
Step-by-step explanation:
In the first segment of the trip, the car goes from 0 to 2 hours and the line is moving up. Therefore, it traveled for 2 hours.
In the second segment, the line went straight horizontal for 1 hour. That means the distance didn't change, in other words, it didn't move.
In the last segment, it moved up again for 2 hours.
It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
What is a simple definition of distance?Distance is the total movement of an object without any regard for direction. We can define distance as how much ground an object has covered despite its starting or ending point.
What is the scientific term for distance?Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
Learn more about distance here https://brainly.com/question/2854969
#SPJ2
You have a litre bottle of water and drink 375 millilitres.
How much is left?
Answer:
625 ml
Step-by-step explanation:
1 litre is 1000 milliliters
1000 milliliters minus 375 milliliters is 625 milliliters
you have to subtract because you are looking for what is left
Evaluate f(4) represented by this table?
Please help me it urgent
Complete the table.
(Type whole numbers or decimals)
Answer:
1 package is 13.8 pounds and 8 packages is 110.4
Step-by-step explanation:
95% of what number is 19? if necessary round final answer to nearest tenth.
Answer:
20
Step-by-step explanation:
95% × ___ = 1919 ÷ 95% = 19 ÷ (95 ÷ 100)19 ÷ (95 ÷ 100) = (100 × 19) ÷ 951,900 ÷ 95 = 20I hope this helps!
Solve x2
- 10x– 11 =
Answer:
x = -1 and x = 11
Step-by-step explanation:
x² - 10x - 11 can be factored to be (x + 1) (x - 11)
x + 1 = 0
x = -1
x - 11 = 0
x = 11
Amarosa Logistics purchased a new pick-up for the office employees to use for $28,000.00. The vehicle is expected to last for
10 years with a residual value of 56,250,00. For tax purposes, it is assumed that the depreciation is linear and the pickup's
value can be determined by the equation
p(t) = -21755 + 28,000,
where x is the number of years since the pick-up was purchased. What is the depreciated value of the pick-up after 3 years?
A $25,825.00
B. $21,475,00
C. $15,225.00
D 519,300.00
Answer:
I think B but I am not sure.
The depreciated value of the pick-up after 3 years is $15,225
Given that Amarosa Logistics purchased a new pick-up for the office employees to use for $28,000.00.
The vehicle is expected to last for 10 years with a residual value of 56,250,00.
The depreciation is linear and the pickup's value can be determined by the equation
p(t) = -21755t + 28,000
To find the depreciated value of the pick-up after 3 years
Plug in t as 3
p(t) = -21755(3)+ 28,000
=$15,225
Hence, $15,225 is the depreciated value of the pick-up after 3 years
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Mr.Bruns measured the height of 16 apples trees
1
52°
2x
n
What is the measure of Zy, in degrees?
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 look at the picture
Answer:
600.
Step-by-step explanation:
How would you write this number in numeric form?
one hundred fifty-six thousandths
Jack bought a sweater at a sale price of $15. The original cost of the sweater was $50. What percent represents the discount that Jack received when buying the sweater? *
Answer:
The sweater was 30% off
Step-by-step explanation:
To find this answer you need to simply dived 15 ÷ 50 to get the answer of 0.3 and 0.3 as a percent would be 30 making the sweater 30% off
30 points and brainlest Need help with math
Answer:
x = 45
135°
Step-by-step explanation:
180 - 45 = 135
3x = 135
3x/3 = 135/3
x = 45
Answer:
45 degrees
Step-by-step explanation:
Since 45 and 3x are on a straight line together, they add up to 180 degrees. This means you can have the equation
45 + 3x = 180
subtract 45 from both sides
3x = 135
x = 45 degrees
what is the recipocal of 5
Answer: 0.2
Step-by-step explanation:
Answer:
The reciprocal of 5 is 1/5 (0.2).
Explain how this diagram can represent 3 - 7 = n
Answer:
n = 4
Step-by-step explanation:
87 ÷ 17 + [672 - 83] another one
Answer:
594.1
Step-by-step explanation:
87÷15=5.1
672-83=589
so then you add those to together and get 594.1
Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 samples are summarized as follows:
Conforms
Yes No
1 22 8
Supplier 2 25 5
3 30 10
Let A denote the event that a sample is from supplier 1, and let B denote the event that a sample from any supplier conforms to specifications. If a disk is selected at random, determine the following probabilities. Input your answers in the fractional form (do not simplify).
a. P(A)=0.3
b. P(B)=0.77
c. P(A Intersection B) =0.22
d. P(A U B)=0.85
Answer:
[tex]P(A) = \frac{30}{100}[/tex]
[tex]P(B) = \frac{77}{100}[/tex]
[tex]P(A\ n\ B) = \frac{22}{100}[/tex]
[tex]P(A\ u\ B) = \frac{85}{100}[/tex]
Step-by-step explanation:
Given
See attachment for proper format of table
[tex]n = 100[/tex] --- Sample
A = Supplier 1
B = Conforms to specification
Solving (a): P(A)
Here, we only consider data in sample 1 row.
In this row:
[tex]Yes = 22[/tex] and [tex]No = 8[/tex]
So, we have:
[tex]n(A) = Yes + No[/tex]
[tex]n(A) = 22 + 8[/tex]
[tex]n(A) = 30[/tex]
P(A) is then calculated as:
[tex]P(A) = \frac{n(A)}{Sample}[/tex]
[tex]P(A) = \frac{30}{100}[/tex]
Solving (b): P(B)
Here, we only consider data in the Yes column.
In this column:
[tex](1) = 22[/tex] [tex](2) = 25[/tex] and [tex](3) = 30[/tex]
So, we have:
[tex]n(B) = (1) + (2) + (3)[/tex]
[tex]n(B) = 22 + 25 + 30[/tex]
[tex]n(B) = 77[/tex]
P(B) is then calculated as:
[tex]P(B) = \frac{n(B)}{Sample}[/tex]
[tex]P(B) = \frac{77}{100}[/tex]
Solving (c): P(A n B)
Here, we only consider the similar cell in the yes column and sample 1 row.
This cell is: [Supplier 1][Yes]
And it is represented with; n(A n B)
So, we have:
[tex]n(A\ n\ B) = 22[/tex]
The probability is then calculated as:
[tex]P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}[/tex]
[tex]P(A\ n\ B) = \frac{22}{100}[/tex]
Solving (d): P(A u B)
This is calculated as:
[tex]P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)[/tex]
This gives:
[tex]P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}[/tex]
Take LCM
[tex]P(A\ u\ B) = \frac{30+77-22}{100}[/tex]
[tex]P(A\ u\ B) = \frac{85}{100}[/tex]
I WILL MARK BRAINLIEST PLEASE FIND ANGLE DAB ITS DUE AT 12 PLEASE HELP I WILL MARK BRAINLIEST
Answer: 65°
Explanation:
We are given that angle ACB is 40° and angle CAB is 25°.
Since the two triangles are congruent to each other, the angle of CAB is equal to the angle ACD- of which both are 25°
Similarily, angle ACB is equal to angle CAD- 40°
Knowing that angle CAB is 25° and angle CAD is 40°, simply add the two together to compute angle DAB:
25°+40°=65°
Thus, angle DAB is 65°
Help me pls thank you a lot.
Carmen's water bottle holds 1 8/10 liters of water. Jorge's water bottle holds 2 2/5 liters of water. Jorge says his bottle holds about 1/2 liter more of water than Carmen's. Estimate if this is true or not. What is the actual difference?
Step-by-step explanation:
Carmen's water bottle = 1.8 litres ≈ 2 litres
Jorge's water bottle = 2[tex]\frac{2}{5}[/tex] = 2.4 litres ≈ 2 litres
Therefore, from estimate, Jorge's water bottle does not hold half litre more of water than Carmen's.
Actual difference = 2.4 - 1.8 = 0.6 litres
What is the probability of flipping a coin 12 times and getting heads 4 times?
Round your answer to the nearest tenth of a percent.
Answer:
its 12.08percent
Step-by-step explanation:
12.8 percent
What are the basic principles of probability?
The probability of an event can only be between 0 and 1 and can also be written as a percentage.The probability of the event is often written as If, the then event has a higher chance of occurring than an event.If, then events are equally likely to occur.Let's suppose the number of heads is r which represents the head times and in this case r = 4
Assuming that the coin is unbiased, you have the probability of success ‘p’(where p is considered as success) [tex]\frac{1}{2}[/tex] and the probability of failure ‘q’ (where q is considered as failure).
The number of trials is represented by the ’n’ and here n = 12.
Now use the function for a binomial distribution:
P(R = r) = nCrprqn-r
P(R = 4) = (12C4)(1/2)4(1/2)12-4
= 495/4096
= [tex]\frac{495}{4096\\}[/tex]
= 12.0849609%
learn more about Probability here https://brainly.com/question/14210034
#SPJ2
Ms. Herty spent 15 hours grading math quizzes in December each grading session lasted 3/4 of an hour how many grading sessions did she work
Answer:
11.25 :D
Step-by-step explanation: