Answer:
10,000
Step-by-step explanation:
f = feet above ground
r = rate of descent
m = minutes
f = 30000 - r · m
f = 30000 - 20000m
After five minutes:
f = 30000 - 2000(5)
f = 30000 - 10000
f = 20000
After five minutes the plane is at 10,000. feet.
8. You are skiing down a 1,350 meter ski slope at 60 meters per second. Let t
represent your skiing time in seconds and d(t) represent the distance from the
bottom of the ski slope.
The time taken to reach the bottom when the person skies down will be 22.5 seconds.
How to calculate the value?It should be noted that the person is skiing down a 1,350 meter ski slope at 60 meters per second.
There, t represent your skiing time in seconds.
The appropriate expression to illustrate the scenario will be:
1350 - 60t = 0
Therefore, 60t = 1350
t = 1350/60
t = 22.5
The time taken to each the bottom will be 22.5 seconds.
Learn more about time on:
brainly.com/question/10428039
#SPJ1
Write a simplified equation for the set of points that are equally far from $(12,0)$ as they are from $(3,0)$.
12,0$+3,0$=15,0$ its korrect now
alita received twenty-two dollars, seven quarters, and five dimes as change at the grocery store. how much was her change worth? write the amount using numbers and words.
Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.
For given question,
Alita received twenty-two dollars, seven quarters, and five dimes as change at the grocery store.
The value of coins is all counted in cents.
1 Penny = 1 cent
1 Nickel = 5 cents
1 Dime = 10 cents
1 Quarter = 25 cents
And 1 Dollar = 100 cents
Alita received seven quarters, and five dimes coins as change at the grocery store.
seven quarters = (7 × 25) cents
= 175 cents
five dimes = (5 × 10) cents
= 50 cents
The total coins are:
seven quarters, and five dimes
= 175 + 50 cents
= 225 cents
Now we add all change together.
twenty-two dollars, seven quarters, and five dimes
= 22 dollars + 225 cents
= 22 dollars + 2.25 dollars
= 24.25 dollars
= $24.25
Therefore, Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.
Learn more about the dollar bills, dimes, and pennies here:
https://brainly.com/question/13697394
#SPJ4
please help with these 2 problems in math!!! thank uu!!
(factorize the expressions by regrouping)
Answer:
Sorry if im wrong but for c put (x+8) x (x+y)
for d put (x+3y-1) x (x+y)
Step-by-step explanation:
=
6 Find the value of y and each
angle if m²SOP -
MZSOR = (5y + 12).
(7y - 12) ° and
My
k
S
Þ
0
Q
6 Fi
an
M
If angle m∠SOP=(7y-12)° and m∠SOR=(5y+12)°, then the value of y=15 and m∠SOP is equal to 93°.
Given that m∠SOP=(7y-12)° and m∠SOR=(5y+12)°.
We are required to find the value of y and the angle m∠SOP.
We know that sum of all the angles which lie on the straight line is equal to 180°.
And here m∠SOP and m∠SOR both lie on the straight line PR. So,
m∠SOP+m∠SOR=180
7y-12+5y+12=180
12y=180
y=180/12
y=15
We have to use y=15 in m∠SOP=(7y-12)°.
m∠SOP=7*15-12
=105-12
=93°
Hence if angle m∠SOP=(7y-12)° and m∠SOR=(5y+12)°, then the value of y=15 and m∠SOP is equal to 93°.
Learn more about angles at https://brainly.com/question/25716982
#SPJ9
it turns out that approximately 20% of the students in the sample already read the book as part of another class. obviously, these students are likely to perform better than students who did not already read the book. assuming that random assignment was used to ensure equivalent groups in the two conditions, this variable (i.e., whether or not subjects already read the book) should be considered:
The given problem falls under the extraneous type of variable.
What do you mean by an extraneous variable?To find out whether or not changing the values of an independent variable has an impact on a dependent variable is the entire objective of performing an experiment. Any variable that you're not interested in researching but that might also impact the dependent variable is an unnecessary variable. For instance, we would be interested in finding out how a basketball player's average points per game are influenced by the number of hours they exercise each week. The amount of time they spend stretching each week, though, is an unrelated factor that might also impact their points per game.
To learn more about variables, Visit:
https://brainly.com/question/28248724
#SPJ4
What is the distance between points A and B?
Answer:
6 units
Step-by-step explanation:
Examine the triangles. Two similar triangles. The first triangle has a side length of 6 inches, which corresponds to the second triangle's side of 18 inches. The first triangle has a side length of 11 inches that corresponds to the missing side on the second triangle. If the triangles are similar, what is the length of the missing side? Note: The triangles may not be drawn to scale.
The length of the missing side of the triangle is 33 inches.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by ‘~’ symbol.
Let the length of the unknown sides of the second triangle be represented by x.
Given that the two triangles are similar triangles, therefore, the length of the corresponding sides will be in the same ratio. Thus, we can write the ratio of the sides of the triangle as,
6 inches / 18 inches = 11 inches / x
x = (11 inches × 18 inches) / 6 inches
x = 33 inches
Hence, the length of the missing side of the triangle is 33 inches.
Learn more about Similar Triangles here:
https://brainly.com/question/25882965
#SPJ1
Factor the expression.
4xy + 18ry²
Answer:
2y ( 2x + 9ry)
Step-by-step explanation:
A.) Find the greatest common factor and factor out:
(2y x 2x) + (2y x 9ry) = 2y ( 2x + 9ry )
or
B.) Expand each expression:
4xy = ( 2 x 2 x X x y )
18ry^2 = ( 2 x 3 x 3 x r x y x y )
( 2 x 2 x X x y ) + ( 2 x 3 x 3 x r x y x y )
Then, take out like terms and put the expanded factors back together:
2y ( 2 x X + 3 x 3 x r x y ) = 2y ( 2x + 9ry )
Hope this helps!
Given the set of information, find a linear equation satisfying the conditions.
X-intercept at (x,y)=(7,0) and y-intercept at (x,y)=(0,2)
Answer:
y = -2/7x + 2
Step-by-step explanation:
y=mx + b is the slope intercept form of a line. The b is the y-intercept. We are given that. The point (0,2) tells us that the line crosses the y intercept at 2.
Now we have to find the slope. The slope is the change in y over the change in y. Given the points (7,0) and (0,2) The y's are 2 and 0 and the x's are 0 and 7. Subtract the y's and subtract the x's.
[tex]\frac{2 - 0}{0 - 7}[/tex] = [tex]\frac{-2}{7}[/tex]
Now we can put in the slope and the y-ntercept
y = mx + b
y = [tex]\frac{-2}{7}[/tex]x + 2
I WILL CHOOSE THE BRAINLIEST ANSWER!!! What is the area of the backyard that the grass takes up?
The area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²
Calculating areaFrom the question, we are to determine the area of the backyard that the grass takes up
Area of the backyard that the grass takes up
= Area of the backyard - Area of the rectangle pool deck - Area of the circle pool
Area of the backyard = 6x × 6x
= 36x²
Area of the rectangle pool deck = 2x × x
= 2x²
Area of the circle pool = πx²
Thus,
Area of the backyard that the grass takes up = 36x² - 2x² - πx²
Area of the backyard that the grass takes up = 34x² - πx²
Hence , the area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²
Learn more on Calculating Area here: https://brainly.com/question/25092270
#SPJ1
Help me for this ASAP
Pls now
Answer:
9×9=81
4×4×4×4×4= 1024
4×4×4×4×4×4×4=65536
7×7×7=343
9³=729
10∧5=100000
If satisfied please give a like
miles per hour. on her way home, she travels at 12 miles per hour. the total travel time is 2 hours. which equation can be used to find the distance in miles from bree’s house to the library? distance (mi) rate (mph) time (hr) trip to library x 6 mph startfraction x over 6 endfraction trip to home x 12 mph startfraction x over 12 endfraction startfraction x over 6 endfraction startfraction x over 12 endfraction
The equation to calculate the distance will be 12 × 2.
How to compute the equation?From the information given, she travels at 12 miles per hour and the total travel time is 2 hours.
It should be noted that:
Distance = Speed × Time
Therefore,
Distance = 12 × 2
The distance is 24 miles.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
A walking map of a city has a scale of 1 inch to 2,000 feet. Another map of the same city has a scale of 1 inch to 1,500 feet Which map is smaller? Explain how you know.
by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller than the map of scale of 1 inch to 1,500 feet as it includes more area in a single inch.
We are given that:
A map of the city has a scale of 1 inch to 2,000 feet.
This means that 1 inch of the map represents the 2,000 feet of the actual area of the city.
Now, we are given another map which has a scale of 1 inch to 1,500 feet.
This means that 1 inch of the map represents the 1,500 feet of the actual area of the city.
So, by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller as it includes more area in a single inch.
Therefore. by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller than the map of scale of 1 inch to 1,500 feet as it includes more area in a single inch.
Learn more about comparing here:
https://brainly.com/question/1206328
#SPJ9
I need help with this algebra question
Linear inequality of the given graph is given by option (A) and (C) .
Graphing inequalities is the process of showing which parts of a number line contain values that "satisfy" a given inequality. This inequality plot shows the numbers you can use to replace x and y in the inequality to make the true statement.
(A) y > x /6 +2 ..(1) this line is represented by upper line .
and y ≤ x /4 + 1 ....(2) this line is represented by lower line .
Let consider a point (2, 3)
Put in equation (1) , we get
3 > 0.33 +2
3 > 2.33
which is true so shading will be in lower part of this line .
Put in equation (2) , we get
3 ≤ 0.5 +1
3 ≤ 1.5
which is false so shading will be in opposite direction in upper part of this line.
Hence , there is a common shading area between the lines which is required area .
(b) y < x /6 +2 ..(1) this line is represented by upper line and y ≥ x /4 + 1 ....(2) this line is represented by lower line . Let consider a point (2, 3)
Put in equation (1) , we get
3 < 0.33 +2
3 < 2.33
which is false so shading will be in opposite direction to the point in upper part of this line .
Put in equation (2) , we get
3 ≥ 0.5 +1
3 ≥ 1.5
which is true so shading will be in lower part of this line.
Hence , there is no common shading area between the lines .
(C) y ≥ x /6 +2 ..(1) this line is represented by upper line and y < x /4 + 1 ....(2) this line is represented by lower line . Let consider a point (2, 3)
Put in equation (1) , we get
3 ≥ 0.33 +2
3 ≥ 2.33
which is true so shading will be in direction to the point in lower part of this line .
Put in equation (2) , we get
3 < 0.5 +1
3 < 1.5
which is is false so shading will be in opposite direction to the point in upper part of this line
Hence , there is a common shading area between the lines which is required area .
(D) y ≤ x /6 +2 ..(1) this line is represented by upper line and y > x /4 + 1 ....(2) this line is represented by lower line . Let consider a point (2, 3)
Put in equation (1) , we get
3 ≤ 0.33 +2
3 ≤ 2.33
which is false so shading will be in opposite direction to the point in upper part of this line .
Put in equation (2) , we get
3 > 0.5 +1
3 > 1.5
which is true so shading will be in lower part of this line.
Hence , there is no common shading area between the lines .
Learn more about graph of inequality here :
https://brainly.com/question/11234618
#SPJ9
Pls help me PLSPLS #ineedhelp #helpme #isuckatmath
Answer:
300 ones
Step-by-step explanation:
300 one = 300 of 1 = 300
The other answers are wrong
30 ones = 30 of 1 = 30
3 tens = 3 of 10 = 30
300 tens = 300 of 10 = 3000
-2.5 + 5.99 find the sum
Answer Choices are
A. 1
B.0
2.-4
3.2
According to the graph, The value of f(5) from the graph of f(x) is 1.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
From the graph of f(x), the point C(5, 1) represent the point f(5). The value of f(5) from the graph of f(x) is 1.
Find out more on equation at: https://brainly.com/question/13763238
#SPJ1
Jessica can make a necklace out of beads in 20 minutes. She sells each
necklace for $4.25. If Jessica fills an order for necklaces worth $59.50, how
much time did she spend making necklaces? Show your work.
Answer:
4h40min
Step-by-step explanation:
necklaces she made
=$59.50/$4.25
=14necklaces
time spent making 14 necklaces
=14x20min
=280min
=4h40min
Answer:
280minutes or 4hours 40minutes
Step-by-step explanation:
Number of necklaces:
$59.50 ÷ $4.25 = 14
Time taken:
14 × 20minutes = 280minutes
The perimeter of the triangle shown is 556 meters. Find
the length of each side.
x meters =
4x meters =
(8x - 3) meters =
(Type integers or decimals.)
4x meters
(8x - 3) meters
x meters
The sides of the triangle are as follows:
a = 43 meters
b = 172 meters
c = 341 meters
Given, we have the perimeter of the triangle as 556 meters.
The sides of the triangle are:
a = x meters
b = 4x meters
c = (8x - 3) meters.
we know that perimeter of the triangle = a + b + c
therefore, a + b+ c = Perimeter
x + 4x + (8x - 3) = 556
x + 4x + 8x - 3 = 556
13x - 3 = 556
13x = 556 + 3
13x = 559
x = 559/13
x = 43
hence we get the value of x as 43.
substitute x value in the sides of the triangle to get the orignal values of the sides.
a = x = 43 meters.
b = 2x = 4 × 43 = 172 meters.
c = 8x - 3 = 8(43) - 3 = 341 meters.
Hence the sides of the triangle are 43 meters , 172 meters and 341 meters.
Learn more about Triangles here:
brainly.com/question/2217700
#SPJ9
I need help asap!!!!!!
Answer:
Second choice: Student failed to square the x part
Step-by-step explanation:
x - 2y = 6 - 2.3 = 0 so that is the only plausible explanation
Answer: The student failed to square the x² part. This led to calculating x² as six instead 36
A, B & C form the vertices of a triangle, where ∠CAB = 90°.
AB = 10.2 m and AC = 5.6 m.
Evaluate ∠CBA, giving your answer rounded to 3 SF.
The unknown angle of the right triangle is as follows:
∠CBA = 28.8°
How to find the angle of a right triangle?The triangle is a right triangle because one of its angle is equals to 90 degrees.
The angle ∠CBA, can be found using trigonometric rations,
hence,
tan ∅ = opposite / adjacent
where
∅ = ∠CBA
Therefore,
tan ∠CBA = opposite / adjacent
opposite side = 5.6 m
adjacent side = 10.2 m
Hence,
tan ∠CBA = 5.6 / 10.2
tan ∠CBA = 0.54901960784
tan ∠CBA = 0.54901960784
∠CBA = tan⁻¹ 0.54901960784
∠CBA = 28.7676493388
∠CBA = 28.8°
learn more on triangle here: brainly.com/question/27701864
#SPJ1
WILL CHOOSE THE BRAINLIEST ANSWER!!!
If a circle with a radius 3x is inscribed in a square, then the difference between the area of the square and the area of the circle is [tex]9x^{2} (4-\pi )[/tex]
Given,
The radius of the circle = 3x
The area of the circle = [tex]\pi r^{2}[/tex]
Where r is the radius of the circle
Substitute the values in the equation
Area of the circle = [tex]\pi (3x)^{2}[/tex]
=[tex]9x^{2} \pi[/tex]
We know when a circle is inscribed in a square the diameter of the circle is equal to the side of the square
Diameter of the circle = 2× radius
=2×3x
=6x
The area of the square = [tex]a^{2}[/tex]
Where a is the side of the square
Area of the square = [tex](6x)^{2}[/tex]
=[tex]36x^{2}[/tex]
The difference between the area of the square and the area of the circle= Area of the square - Area of the circle
[tex]=36x^{2} -9x^{2} \pi \\=9x^{2} (4-\pi )[/tex]
Hence, if a circle with a radius 3x is inscribed in a square, then the difference between the area of the square and the area of the circle is [tex]9x^{2} (4-\pi )[/tex]
Learn more about area here
brainly.com/question/27683633
#SPJ1
Mrs Smith packed 7,866 grams of mixed nuts into 25 big and small packets. There were 13 big packets of 462 grams of mixed nuts. What was the mass of each small packet of mixed nuts?
10 points for this math question
Answer:
a = x -4b = y +3Step-by-step explanation:
You want the transformation rule that describes the translation from R(5, 0) to R'(1, 3).
TranslationThe difference between R' and R is ...
R' -R = (1, 3) -(5, 0) = (1-5, 3-0) = (-4, 3)
The difference between the point (x, y) and the translated point (a, b) is ...
(a, b) -(x, y) = (a -x, b -y)
These differences are equal, so we have ...
a -x = -4 ⇒ a = x -4b -y = 3 ⇒ b = y +3<95141404393>
NEED HELP ASAP TODAY IF Can. I have no idea how solve these....
Answer:
62º
Step-by-step explanation:
So this is supplementary angles. Supplementary angles are two or more angles that add up to 180º. This is also vertical angles. Vertical angles are angles across from one another that are congruent(such as the 180º angle and the one up and to the right of it). So if vertical angles are congruent that means that the angle to the right of x is also 118º. And since it is a supplementary angle this is now simple subtraction.
180-118=62.
Hope I could help!
Answer:
62.Step-by-step explanation:
Find the value of x:
118 + x = 180180 - 118 = x180 - 118 = 6262 = xValue x equals 62.Maggie is making trail mix. She makes 4 batches of the recipe shown. She divides it into 3 equal-sized bags. How many ounces are in each bag?
Answer:
There are several steps to this problem, but they are easy steps . First, determine how many ounces are in one recipe by adding all the ounces of the ingredients together: 8 + 5 + 2 + 3 = 18.
Now multiply that amount by 4, because she made 4 batches:
18 x 4 = 72
Finally, divide the total amount by 3, because she put it in three bags. 72/3 = 24
convert the following angles from decimal degrees to degrees, minutes, and seconds (round to the nearest second). note: you must show all the steps for full credit. a) 45.5013 b) 168.7862 c) 87.2530
Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68"
Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".
Decimal degrees 87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".
DMS to Decimal Degree Conversion:To translate decimal degrees into DMS, take the following actions:
The whole number portion of the decimal should be used for the degrees.Divide the last decimal by 60 to get the minutes. Employ a whole number.minutes as a portion of the response.Add 60 to the new decimal to account for the seconds.According to the given information:Converting the following angles from decimal degrees to degrees, minutes, and seconds.
A) 45.5013
The whole number is degrees. So 45.5013 gives you 45degrees.
Multiply the remaining decimal by 60.
0.5013*60 =30.078, so the whole number 30 equals minutes.
Multiply the remaining decimal by 60.
.078*60 = 4.68, so the whole number 4.68 equals seconds.
Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68".
B) Similarly for this 168.7862.
Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".
C)Similarly for this 87.2530.
Decimal degrees 87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".
To know more about Decimal Degree Conversion visit:
https://brainly.com/question/13684141
#SPJ4
what is the vertex of h(x) = |x| − 2??? please help
=====================================================
Explanation:
The parent function y = |x| has its vertex at the origin (0,0). This is the lowest point on the V shaped graph.
The -2 at the end will shift every point 2 units down. This is because we're subtracting 2 from the y coordinate of each point.
So the vertex (0,0) moves down to (0, -2)
The graph is below.
Write an inequality for the graph
The absolute value inequality graphed is:
y ≥ |x - 5| + 1
How to write the graphed inequality?
We can see that we have an absolute value equation, and the region above the graph is shaded, so we have:
y ≥ absolute value equation
We can see that the slope of the absolute value equation is 1, and the vertex is (5, 1), then the equation is:
|x - 5| + 1
Replacing that in the inequality we will get:
y ≥ |x - 5| + 1
That is the graphed inequality.
If you want to learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1