Answer:
√10
Step-by-step explanation:
Magnitude of a vector:
The magnitude of a vector v = <a,b> is given by:
[tex]|v| = \sqrt{a^2 + b^2}[/tex]
v=<-1,3>
Then:
[tex]|v| = \sqrt{(-1)^2 + 3^2} = \sqrt{1 + 9} = \sqrt{10}[/tex]
[tex]\sqrt{10}[/tex] is the magnitude of the vector.
Calculate the volume of the rectangular pyramid below
Answer:
300mm^3
Step-by-step explanation:
formula: [tex]\frac{lwh}{3}[/tex]
10x7.5x12= 900
900/3=300mm^3
answered Which number line represents the solution to the inequality 4x +20 <40
Answer:
the one that has a hollow dot on 5 with the line pointing left
Step-by-step explanation:
4x+20<40
-20 -20
4x<20
/4 /4
x<5
:) ur welcome
Ashe and her two friends will run a relay race. The length of the race is 4/6 mile. If each person runs the same distance, how far will Ashe run?
Answer:
Ashe will run 6 miles
Step-by-step explanation:
4/6 x 3/1 = 12/6 divided by 6 (for numerator and denominator) = 6/1 = 6
When reaching mile marker 6 on the trail, Randy uses his GPS to find that his current elevation is 6220 feet. If he follows the trail until its end at mile marker 13, his elevation will be 8390 feet. What is the average change in elevation of Randy's position from mile marker 6 to mile marker 13, in feet per mile marker?
Answer:
310 feet per mile marker
Step-by-step explanation:
The average change will be the difference in elevation over the difference in mile markers. Randy’s elevation changed from 6220 feet to 8390 feet, which is a difference of
8390-6220=2170 feet. He started tracking at mile markers 6 to mile markers 13, which is a difference of
13-6=7 miles markers. The average change in elevation is 2170 feet / 7 mile markers = 310 feet per mile marker.
Which expression is equivalent to square root 8x^7y^8?
Answer: 2x^3y^4 sqrt 2x or C on edge
Step-by-step explanation:
HELPPP ASAPPPP ONLY ONE WEEK OF SCHOOL LEFT
Answer:
D, no idea how the other one came to the conclusion that B would be right
f(0) is -3, but there is no zero point at -3 (-3/0)
The graph has no minimum value btw, just a maximum value of 1
pls brainliest
Is this correct? If not which is correct?
(3,10) (5,-3) (7,4) (3, 8) is this a function
Answer:
no
Step-by-step explanation:
This is not a function
To be a function each x can only go to one y
x=3 goes to both y=10 and y=8
Not a function
The x-intercept of f(x) = log4^x is ?
DONE
Answer:
x-intercept(s): ( 0 , 0 )
y-intercept(s): ( 0 , 0 )
Step-by-step explanation:
Answer:
it's 1
Step-by-step explanation:
got it right on edge
y=3x+2
y=3x−6
how many solutions does the system have
Answer:
no solutions
Step-by-step explanation:
The lines are parallel since they have the same slope
y = mx+b where m is the slope
They have different y intercepts (b)
The will never intersect so they have no solutions
2 7/9 divided by 5/6 in fraction.
The fraction after the division is A = 46 / 15
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the first fraction be p = 2 7/9
Let the second fraction be q = 5/6
Now , A = p/q
On simplifying the equation , we get
A = 2 7/9 / 5/6
A = ( 25/9 ) / ( 5/6 )
A = ( 25/9 ) x ( 6/5 )
On simplifying , we get
A = 138/45
A = 46 / 15
Hence , the fraction is A = 46/15
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What’s the answer to this answer fast please
Answer:
Hello! answer: 25
Step-by-step explanation:
24 × 24 = 576
7 × 7 = 49
576 + 49 = 625
√625 = 25
25 × 25 = 625 therefore. the hypotenuse is 25 hope that helps!
GIVING OUT BRAINLIEST HELP ME OUT PLEASEE!!!
Answer:
20.9
Step-by-step explanation:
Circumference = 10 * 2 * pi = 62,831853
lenght of the arc
62,831853 : 360 = x : 120
x = (62,831853 * 120)/360 = 20.9
Can someone answer this for me (in the picture)
A friend of yours can shoot free throws with 75% accuracy (she makes 75%
of her shots). If she attempts 25 free throws, what's the probability she'll
make at least 20?
Answer:
4
Step-by-step explanation:
The trapezoid above is cut into two triangles with a black line. Find the area of the two triangles and add the areas together. (HINT: Don't forget that you have to divide by 2 for the area of triangles!) No labels.
Answer:
[tex]42[/tex]
Step-by-step explanation:
The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=\frac{1}{2}bh[/tex]. In the trapezoid, the two triangles share a height of 6, however one has a base of 6 and the other has a base of 8.
Area of smaller triangle (triangle on the left): [tex]\frac{1}{2}\cdot 6 \cdot 6=18\:\mathrm{cm^2}[/tex]
Area of larger triangle (triangle on the right): [tex]\frac{1}{2}\cdot 8 \cdot 6=24\:\mathrm{cm^2}[/tex]
Therefore, the sum of their areas are [tex]18+24=\boxed{42\:\mathrm{cm^2}}[/tex]
Answer:
Step-by-step explanation:
The triangle on the left is going to be a little trickier than the one on the right.
Right
height = 6
base = 8
Area = 1/2 * 6 * 8 = 24
Left
h=6
base = 6
Area = 1/2 * 6 * 6
Area = 18
Total Area = 18 + 24 = 42
Of the 85 learners that packed a lunch for the field trip, 60 have an apple in their lunch and 75 have an orange. All of the learners have at least one apple or orange in their lunch.
What is the probability that a learner chosen at random from the field trip has an orange but not an apple?
Using it's concept, it is found that there is a 0.1765 = 17.65% probability that a learner chosen at random from the field trip has an orange but not an apple.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, of the 85 learners, 75 - 60 = 15 have an orange but not an apple, hence the probability is given by:
p = 15/85 = 0.1765.
0.1765 = 17.65% probability that a learner chosen at random from the field trip has an orange but not an apple.
More can be learned about probabilities at https://brainly.com/question/14398287
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4.
Andrew wants to buy a pair of jeans costing $60. Sales tax on his
purchase is 13%.
a)
How much tax will Andrew be charged?
Answer:
$7.80
Step-by-step explanation:
Find how much tax he will be charged by multiplying 60 by 0.13:
60(0.13)
= 7.8
So, he will be charged $7.80 in tax
Answer:
$7.80
Step-by-step explanation:
13% of 60 = 7.8
so in total 7.80 would be Andrew's TAX
[ Correct me if I'm wrong!! ]
25/22 as a decimal rounded to the nearest hundredths
Answer:
Hi there!
Step-by-step explanation:
First thing we have to do is make 25/22 a proper fraction. That is 1 3/22. This converted to a decimal is 1.1(36) or, rounded to the nearest hundredth, that is 1.1 :)
Hope you enjoy!
From the graph of the function, determine the domain and the range.
Answer:
[tex]\text{Domain: }[-2,0)\cup (0, 5],\\\text{Range: }(-2, 0]\cup [2, 4][/tex]
Step-by-step explanation:
The domain denotes the range of x-values of the function, usually read from left to right. The range denotes the range of y-values of the function, usually read from bottom to top. Parenthesis denote exclusive while square brackets denote inclusive.
The Environmental Protection Agency records data on the fuel economy of many different makes of cars. Data on the mileage of 20 randomly selected cars are listed below. The values are ordered for convenience.
12 13 15 16 16 17 18 18 19 19
20 20 22 23 24 26 26 27 27 29
What is the interquartile range for the mileage data?
A) 8.5 miles per gallon
B) 16.5 miles per gallon
C) 17 miles per gallon
D) 25 miles per gallon
Answer:
A) 8.5 miles per gallon
Step-by-step explanation:
Given
[tex]x = \{12\ 13\ 15\ 16\ 16\ 17\ 18\ 18\ 19\ 19\ 20\ 20\ 22\ 23\ 24\ 26\ 26\ 27\ 27\ 29\}[/tex]
[tex]n = 20[/tex]
Required
The IQR
This is calculated as:
[tex]IQR = Q_3 - Q_1[/tex]
Calculate [tex]Q_1[/tex]
[tex]Q_1 = \frac{1}{4}(n + 1)th[/tex]
[tex]Q_1 = \frac{1}{4}(20 + 1)th[/tex]
[tex]Q_1 = \frac{1}{4}(21)th[/tex]
Remove bracket
[tex]Q_1 = 5.25th[/tex]
This means that:
[tex]Q_1[/tex] is the mean of 5th and 6th item
From the given data:
[tex]5th \to 16[/tex]
[tex]6th \to 17[/tex]
So, we have:
[tex]Q_1 = \frac{1}{2}(16 + 17)[/tex]
[tex]Q_1 = \frac{1}{2}(33)[/tex]
[tex]Q_1 = 16.5[/tex]
[tex]Q_1 = 16.25[/tex]
Calculate [tex]Q_3[/tex]
[tex]Q_3 = \frac{3}{4}(n + 1)th[/tex]
[tex]Q_3 = \frac{3}{4}(20 + 1)th[/tex]
[tex]Q_3 = \frac{3}{4}(21)th[/tex]
Remove bracket
[tex]Q_3 = 15.75th[/tex]
This means that:
[tex]Q_3[/tex] is the mean of 15th and 16th item
From the data:
[tex]15th \to 24[/tex]
[tex]16th \to 26[/tex]
So:
[tex]Q_3 = \frac{1}{2}(24 + 26)[/tex]
[tex]Q_3 = \frac{1}{2}(50)[/tex]
[tex]Q_3 = 25[/tex]
Recall that:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 25 -16.5[/tex]
[tex]IQR = 8.5[/tex]
what is the least common denominator of 1/3 and 4/7?? plsss explain
Answer:
21
Step-by-step explanation:
The smallest number that can go into both 3 and 7 as our denominators is 21. This can be worked about by multiplying them together.
(FYI: In some cases, if the product is even, it may not always work to multiply them together)
Answer:
21
hope this helps
have a good day :)
Step-by-step explanation:
3 multiples are 3, 6, 9, 12, 15, 18, 21, 24
7 multiples are 7, 14, 21, 28
so would need to change both denominators to 21 and multiple 7 and to 1/3 to get 7/21 and 3 to 4/7 to get 12/21
Which transformation below will map an image onto itself?
A. A reflection across the y-axis, followed by a reflection across the x-axis.
B. A dilation of 2 followed by a dilation of 1.5
C. A translation right 2 followed by a translation up 2
D. A counterclockwise rotation of 360
Answer:
B
Step-by-step explanation:
a counter clockwiswe rotation of 360
A counterclockwise rotation of 360° maps an image onto itself.
What is a coordinate transformation?Suppose the initial coordinates are (x₁,x₂). We do 4 kinds of operations on the coordinates which include:
the translation which means to move the coordinate up and downdilation which means to expand or contract the length of the coordinate from the originrotation which means to rotate the coordinate about the origin counterclockwise or clockwise. The reflection which means to reflect the coordinate about the x-axis or y-axis.After doing these operations the final position of the coordinates is called the transformation of the initial coordinate.
How to solve it?On a counterclockwise rotation of 360 degree the coordinate comes back to the original position.
Learn more about the coordinate transformation here-
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-7 2/3 + ( -5 1/2) + 8 3/4 =
Answer:
- 53/12
Step-by-step explanation:
See the image below:)
What is the approximate volume of the cone? Use V=13πr2h
V
=
1
3
π
r
2
h
A 282.6 in3
282.6 in cubed
C 94 in3
94 in cubed
B 141 in3
141 in cubed
D 30 in3
30 in cubed
Will Mark Brainliest
Answer:
C is the correct answer
Step-by-step explanation:
1/3 × pi × 3² × 10 = 94.24777961
what is the slope of a line perpendicular to 3x+2y = 7?
Answer:
2/3
Step-by-step explanation:
First find the slope of the line
3x+2y = 7
Subtract 3x
2y = -3x+7
Divide by 2
y = -3/2x +7/2
This is in slope intercept form y = mx+b where m is the slope
The slope is -3/2
A line perpendicular is the negative reciprocal
-1/(-3/2)
2/3
The slope of the perpendicular line is 2/3
Answer:
Slope of the line perpendicular to the given line = 2/3
Step-by-step explanation:
The product of the slopes of lines perpendicular to each other is - 1
That is,
[tex]slope_{1} \times slope _ 2 = - 1\\[/tex]
Given equation of the line :
3x + 2y = 7
2y = - 3x + 7
[tex]y = -\frac{3}{2}x + \frac{7}{2}[/tex]
[tex]Therefore, \ slope \ of \ the \ given \ line \ , slope _1 = \ -\frac{3}{2}[/tex]
Find slope of the line perpendicular to the given line:
[tex]\frac{-3}{2} \times slope_2 = - 1\\\\slope_2 = - 1 \times \frac{2}{-3} = \frac{2}{3}[/tex]
What is mŁA?
85°
A
145°
Answer:
Ans: 50 degrees.
Step-by-step explanation:
We know, a straight angle is 180 degrees. Also, the sum of the three angles of any triangle is equal to 180 degrees.
So,
(180-85) = 95,
(180-145) = 35,
A = (180-95-35) = 50.
which statement corresponds to the conjunction x > -5 and x < 14
Answer:
-5 < x < 14
Step-by-step explanation:
-5 < x < 14
hope it is helpful to you ☺️
HELPPPPPPPP 17 PTSSSSSSSSSSSSSSSSSS
Answer:
A: 360
Step-by-step explanation:
Split the trapezoid into 2 shapes
Then find the area of the rectangle on the left:
18 × 15 = 270 square yards
Now for the triangle, first find the base by subtracting the 2 parallel lines:
25 - 15 = 10 yards
0.5(10 × 18) = 90 square yards
Add both areas to find total area:
270 + 90 = 360 square yards
All this can be seen in the figure below:
Suppose the x-axis of a density graph represents someone's height in inches. If the area under the density curve from 60 inches to 70 inches is 0.75, what is the probability of someone's height being anywhere from 60 inches to 70 inches? O A. 75% O B. 65% C. 70% D. 60% SUBMIT
OPTION A 75% is the correct answer