Answer:
Certain and likely.
17. A glider lands 26 miles west and 12 miles south from where it took off. The result of the trip
can be described by the vector (-26, -12).
What is another description of this vector using distance (for magnitude) and direction?
about 29 miles at 25° south of west
about 25 miles at 29° south of east
about 29 miles at 25° south of east
about 25 miles at 29° south of west
By finding the magnitude and bearing, we conclude that the correct option is:
"about 29 miles at 25° south of west"
How to write the vector in polar coordinates?For a vector (x, y), the polar coordinates are the magnitude R and the bearing θ.
Such that:
[tex]R = \sqrt{x^2 + y^2} \\\\\theta = Atan(y/x)[/tex]
In this case, the original vector is (-26, -12), replacing that we get:
[tex]R = \sqrt{(-26)^2 + (-12)^2} = 28.6 \\\\\theta = Atan(-12/-26) = 24.7\°[/tex]
Where the angle is measured from the negative x-axis counterclockwise, so it is South of West.
Then we can describe this vector as:
"About 29 miles at 25° south of west".
The first option is the correct one.
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There are 914 students enrolled in Lakeview Elementary School. Frederich Elementary School has 276 fewer students enrolled. How many students are enrolled at Frederich Elementary School?
Answer:
638 students.
Step-by-step explanation:
girl this is basic math i don’t think i need to explain
how many pop tarts come in a pop tart?
The volume of an aquarium is 4,000 cubic feet and has a height of 10 ft. if a similar aquarium has a height of 1 foot, how many cubic feet would the smaller aquarium hold
The volume that the similar aquarium will hold is 400 cubic feet
Similar figuresSimilar figures are figures that have similar angles and sides.
Given the following parameters
volume of aquarium = 4000 cubic feetheight of aquarium = 10feetheight of similar aquarium = 1 feetRequiredVolume of similar aquarium
Substitute into the formula
V/H = v/h
4000/10 = v/1
400 = v
v = 400 cubic feet
Hence the volume that the similar aquarium will hold is 400 cubic feet
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15,266,783.93 + 6,332,682.27442 - 92.833 + 20/100 divided by 42
Answer: 21599373.37618
Step-by-step explanation:
the simplified form of 6ab + 14a - 2ab + 3a is:
A) 21ab B) 4ab + 11a C) ab + 7a D) 4ab + 17a E) 4 + 17a
the solution to the equation 2x - 3 = 7 is:
A) x = 2 B) x = -5 C) x = 5 D) x = 6.5 E) x = 0.5
the solution to [tex]\frac{x}{3} -1 =4[/tex] is:
A) x = 13 B) x= 7 C) x = 9 D) x = 15 E) [tex]x=\frac{5}{3}[/tex]
the expanded form of 3(2y - 1) is:
a) 6y - 3 b) 5y - 1 c) 6y - 1 d) 6y + 2 e) 3y - 3
an equivalent equation to 5x = 2x + 9 is:
a) 2x = 5 b) 3x = 9 c) 0 = 3x + 9 d) 7x = 9 e) x = 9
the solution to the equation 2(x - 3) = 7 is:
a) x = 5 b) x = [tex]\frac{13}{2}[/tex] c) x = 2 d) x = [tex]\frac{1}{2}[/tex] e) x =[tex]\frac{7}{3}[/tex]
Eli is x years old. his sister is 2 years older. the sum of their ages is 22. a simplified equation to represent this is:
a) x + 2 = 22 b) 2x + 2 = 22 c) 2(x + 2) = 22 d) x(x + 2) = 22 e) 2x = 22
if A = [tex]\frac{1}{2}[/tex]bh with A = 360 and h = 40, then the value of b is:
a) 90 b) 4.5 c) 20 d) 18 e) 9
Answer:
2) x=5
4) 6y-3
Step-by-step explanation:
2) 2x-3=7
Add 3 on both sides (-3+3 cancel each other out and 7+3 is 10)
Now your equation is 2x=10
Divide 2 from both sides
2x/2 cancel each other and 10/2 is. Therefore, x=5
4) 3(2y-1)
3 times 2y is 6y
3 times -1 is -3 (negative times positive is negative)
Equation: 6y-3
What is the slope of the line that passes through the points (-1, 1) and (-1, 4)? Write your answer in simplest form.
Answer: undefined
Step-by-step explanation:
slope form: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
simply plug in values
[tex]\frac{4-1}{-1-(-1)}[/tex]
[tex]\frac{3}{0}[/tex]
Answer: undefined
you can also tell by realizing both x coords are the same, meaning the line is verticle and verticle lines' slopes are undefined
The following data points represent the number of quesadillas each person at Toby's Tacos ate.
Sort the data from least to greatest.
0,0, 1/2, 1/2, 1/4, 1, 1, 1, 5/4, 2, 2.
What is the interquartile range of this data?β
The interquartile range for the given data is 1 quesadilla.
What is the interquartile range?The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.
To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.
There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.
Since we know the median is 1, we can find the first quartile by finding the median of the following numbers:
0, 0, 1/4, 1/2, 1/2 (any number less than 1).
There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with the first quartile of 1/4.
Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "
1: 1, 1, 5/4, 2, 2.
Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with the third quartile of 5/4.
Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile.
5/4 - 1/4 = 4/4 = 1.
Therefore, the interquartile range is 1 quesadilla.
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Suppose that the mean GPA (grade point average) for a random sample of all seventh graders at your school is 3.25 and the mean GPA for a random sample of all eighth graders at your school is 2.85. Explain why this does not tell us that the mean GPA of all seventh graders at your school is different from the mean GPA of all eighth graders at your school.
Answer:
I don't know how to explain
A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o
feet.
. She travels down 20.6 feet.
. She then rises 12.5 feet.
• Next, she descends a second time, 32.4 feet.
How many feet must she now ascend to get back to
sea level?
Based on the illustration given above, the feet that she now need to ascend to get back to sea level is 40.5.
What is the sea level about?Note that the first descend was 20.6 - 12.5 =
8.1 feet
Then she drop 32.4 feet again
So to get back up she need to add:
= 32.4 feet + 8.1 feet
= 40.5
Therefore, based on the calculation given above, the feet that she now need to ascend to get back to sea level is 40.5.
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Nick has a rope that is 3 1/4 yards long. He cuts off a piece of the rope so that it is now 5/9 as long as the original rope? What is the length of his rope now?
The length of the rope remaining after Nick cut off a piece of the rope is 1 29/36 yards
How to solve fractionsTotal length of Nick's rope = 3 1/4 yardsLength remaining = 5/9 of original length
5/9 of 3 1/4
= 5/9 × 13/4
= 65/36
= 1 29/36 yards
Therefore, the length of the rope remaining after Nick ncur off a piece of the rope is 1 29/36 yards
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Find the values of the numbers m and n that will make (2x + m)2 = 4x2 + nx + 9 true, given
that both m and n are positive numbers.
The values of the numbers m and n that makes the given expression true are 3 and 12 respectively
Solving an equationFrom the question, we are to determine the values of the numbers m and n that will make the given expression true
The given expression is
(2x + m)² = 4x² + nx + 9
Opening the bracket on the left hand side,
(2x + m)²
(2x + m)(2x + m)
4x² + 2mx + 2mx + m²
4x² + 4mx + m²
∴ 4x² + 4mx + m² = 4x² + nx + 9
By comparing,
4mx = nx;
Then, 4m = n
and
m² = 9
∴ m = ±√9
m = ±3
Since we are given that both m and n are positive numbers,
∴ m = 3
Substitute the value of m into the equation, 4m = n
4×3 = n
∴ n = 12
Hence, the values of the numbers m and n that makes the given expression true are 3 and 12 respectively
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11. Evaluate: 5x +1 when x = 2 ? A. -11 C. 6 B. -6 D. 11
help me please
Answer:
11
Step-by-step explanation:
First, you replace x with 2
5×2+1
Then multiplication comes before addition so 5×2
5×2=10
Then just add the 1
10+1=11
1) How big is a horsefly if 1 cm = 1m?
2) How big is the ghost if 1 cm= 20 cm?
3) How big is the kitty if 1 cm = 10 cm?
Ryan ran 0.5 miles on july 1st. each day
thereafter, he ran 0.3 miles more than the
previous day. find the total number of
miles ran in the month of july.
Answer:
155 miles
Step-by-step explanation:
The sum of n terms of an arithmetic series is given by the formula ...
Sn = (2·a1 +d(n -1))(n/2)
__
The number of miles Ryan ran in July is described by the arithmetic series ...
0.5 +0.8 +1.1 +... (a total of 31 terms)
The first term is a1=0.5, and the common difference is d=0.3.
The total number of miles Ryan ran in July is ...
S31 = (2(0.5) +0.3(31 -1))(31/2) = (1 +9)(31/2) = 155
Ryan ran 155 miles in July.
Please, someone help. I will give brainliest. (I dont need an explanation just an answer please.)
Answer:
C
Step-by-step explanation:
In 3 options, the coefficient of x on both sides is the same. Hence, they will all have no solution. The only one which has exactly one solution is :
C. 6x + 8 = -6x + 201. it has at least 10 values. 2. it has at least 3 values that are different. 3. it has a mean and median of 12.
Answer: 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
Step-by-step explanation:
First, we can ensure that 12 is the median by putting it in the middle and putting the same amount of numbers to its left and right side. To make the values have a mean of 12, the easy why to do it is to subtrate one as you move to the left and add one as you move to the right, that way they will cancel each other out and keep the mean at 12. The answer has a total of 11 values, has more than 3 values that are different, and has a mean and median of 12.
7+8+9+10+11+12+13+14+15+16+17=132
132/11=12
There are 5 values to each side of 12, making 12 the median.
What is the value of log4 superscript 16?
1
2
4
8
answer ASAP
Emma lends half her collection of anime novels to her friend, Emily. Emma then buys six more novels. If she has 14 books now, how many novels did Sweden have initially?
Answer:
16
(14-6)×2=16 So initially Emma had 16 books.
write 13/20 fraction to percent
The volume of the prism is 275 cm³ the area of the base of the prism is 25 square centimeters what is the height of the prism
Answer:
11
Step-by-step explanation:
volume of a prism = area of base × height
plug in what we are given
volume = 275cm³area of base = 25cm²275 = 25 × height
==> divide both sides by 25
11 = height
How many solutions does this system
have?
6x+3y = 9
2x + y = 3
Answer:
The system of equation has infinite solution.
Step-by-step explanation
2x + y = 3
6x = 9 – 3y
First we re-write the second equation in standard form
So, we add 3y both sides
6x+3y=9 ---------------- (2)
2x+y = 3----------------- (1)
3(2x)+3y = 3(3)
6x+3y=9
6x-6x + 3y-3y = 9-9
0=0
LHS=RHS
This is true statement. If statement is true then infinite number of many solution.
Answer:
infinite
Step-by-step explanation:
acellus
(rounding) 0.46. whats the nearest tenth?
Answer:
0.5
Step-by-step explanation:
4 is in the tenths place and 6 is in the hundredths place
Since the digit in the hundredths place (6) is greater than or equal to 5, add 1 to the digit in the tenths place (4)
1 + 4 = 5, so the digit in the tenths place becomes 5
The digit in the hundredths place is dropped
0.46 rounded to the nearest tenth (one decimal place) = 0.5
Which two expressions are equivalent?
O z
7 (6+z)
7.6+7.2
O
3 (9+y)
3.9+ y
O
t +(4.5)
(t + 4).5
X + 12 : 4
(4+12) = x
Answer:
First option
Step-by-step explanation:
The result of first expression:
7(6+z) multiply 7 with inside the parenthesis
7(6+z) = 42 + 7z
the result of second expression:
since we need to do multiplying first,
7*6 = 42 and 7*z = 7z
then we add them
42 + 7z this is the same result we found for the first equation
Find the area of a circle with an arc length of 4π and a central angle of 45 degrees. Leave the answer in terms of π.
[tex]~~~~~~\text{Arc length} = r \theta \\\\\implies 4\pi = r\left( 45 \times \dfrac{\pi}{180} \right)~~~~~~~~;[\theta ~ \text{is in radians.}]\\\\\implies 4 = \dfrac{45r}{180}\\\\\implies 45r = 180 \times 4 = 720\\\\\implies r = \dfrac{720}{45}\\\\\implies r = 16~ \text{units.}\\\\\text{Now,}\\\\\text{Area} = \pi r^2\\\\~~~~~~~=\pi \cdot 16^2\\\\~~~~~~~=256\pi~ \text{units}^2[/tex]
Give the MOST specific name for the figure shown. A) parallelogram B) quadrilateral C) rhombus Eliminate D) trapezoid
Answer: C
Step-by-step explanation:
Because there are two pairs of opposite parallel sides, it is a parallelogram.
Since the diagonals intersect at a right angle, the parallelogram is also a rhombus.
What is the length of the hypotnuse in a right triangle with sides lengths of 8 and 15
Answer:
Hypotenuse = 17
Step-by-step explanation:
if: a = 8, b = 15 c = hypotenuse:
[tex]c=\sqrt{a^{2}+b^{2} }[/tex]
[tex]c = \sqrt{(8)^{2} +(15)^{2} } =\sqrt{64+225}=\sqrt{289} =17[/tex]
Hope this helps
a right triangle has a height of 27 inches and a base of 30 inches what is the area of the triangle
Answer:
The answer is 405
Step-by-step explanation:
FIrst you would do 27 times 30 which is 810 then you would divided by 2 which in turn gives you 405
Hope this helped!
Bag contains fewer than 90 lollipops it is possible to evenly divide all of the lollipops among 2, or 6, or 7 children. how many lollipops are in the bag? list all possible answers
Grade 8 Mathematics level 3
The value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
What is an Equation?
An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given that;
√( 1 + (25/144) ) = 1 + (x/12)Find the value of x.First, we square both sides
√( 1 + (25/144) ) = 1 + (x/12)
(√( 1 + (25/144) ))² = (1 + (x/12))²
1 + (25/144) = 1 + ( x²/144)
Collect like terms
1 - 1 + (25/144) = ( x²/144)
25/144 = x²/144
We cross multiply
25 × 144 = x² × 144
Multiply each sides by 1/144
x² = 25
x = √25
x = 5
Therefore, the value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
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