Answer:
Acute.
Step-by-step explanation:
An angle of measure between 0 and 90 degrees is an acute angle.
Each packet of the cooking oil weighs 2/5th of a kilogram and one kilogram of the cooking oil costs $6.5. Sara went to the grocery shop to buy some items to stock her kitchen. If she bought 8 packets of the cooking oil, how much money did she spend? A $19.60 B $18.20 C $20.80 D $23.40
Answer:
C) $20.80
Step-by-step explanation:
1 kg of cooking oil = $6.5
1 packet of cooking oil =2/5 kg
If 1 kg of cooking oil = $6.5
2/5kg of cooking oil = $X
Cross Multiply
1kg × $X = 2/5kg × $6.5
$X = 13/5
$X = 2.6
Hence 2/5kg of oil cost $2.6
Since 1 packet of oil = 2/5kg of oil , 1 packet of oil cost $2.6
The amount she spent if she bought if she bought 8 packets of the cooking oil is calculated as:
1 packet of oil = $2.6
8 packets of oil =
$2.5 × 8
= $20.80
Therefore,if Sara bought 8 packets of oil, the amount she would spend = $20.80
A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance traveled (miles). The fitted regression is Time = −7.126 + .0214 Distance, based on a sample of 20 shipments. The estimated standard error of the slope is 0.0053. Find the critical value for a right-tailed test to see if the slope is positive, using α = .05.A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance traveled (miles). The fitted regression is Time = −7.126 + .0214 Distance, based on a sample of 20 shipments. The estimated standard error of the slope is 0.0053. Find the critical value for a right-tailed test to see if the slope is positive, using α = .05.
Answer:
1.734
Step-by-step explanation:
Given that:
A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance traveled (miles).
The fitted regression is Time = −7.126 + .0214 Distance
Based on a sample size n = 20
And an Estimated standard error of the slope = 0.0053
the critical value for a right-tailed test to see if the slope is positive, using ∝ = 0.05 can be computed as follows:
Let's determine the degree of freedom df = n - 1
the degree of freedom df = 20 - 2
the degree of freedom df = 18
At the level of significance ∝ = 0.05 and degree of freedom df = 18
For a right tailed test t, the critical value from the t table is :
[tex]t_{0.05, 18} =[/tex] 1.734
Find the coordinates of point G that lies along the directed line segment from F(-1, -1) to H(-8, 20) and partitions the segment in the ratio of 5:2.
Answer:
coordinates of point g is ( -6, 14)
Step-by-step explanation:
The coordinates of the point which divides the point (x1,y1) and (x2,y2) in m:n ratio is given by (nx1+mx2)/(m+n), (ny1+my2)/(m+n).
___________________________________________
given point
F(-1, -1) to H(-8, 20)
ratio : 5:2
the coordinates of point g is
(2*-1+5*-8)/(5+2), (2*-1+5*20)/(5+2)
=> (-2 -40/7 , -2+100/7)
=> (-42/7, 98/7)
=>( -6, 14)
Thus , coordinates of point g is ( -6, 14)
what number times itself 3 times go into 343
Answer:
According to an expert your answer is 7.
Step-by-step explanation:
since the unkown number is multiplied by itself what we need to do to get out answer is to work backwards. Thats where we cube root 343 to get 7
HOPE IT HELP!!!!!!!!!!!!IF IT REALLY HELPS SO PLZ MARK ME AS BRAINIESTI need the answers for my bro
Answer:
1)He will use 144 squares in his design
2)He will use 36 squares in his design
Step-by-step explanation:
1) There is 12 squares going horizontally and 12 squares going vertically meaning the total amount of squares needed is:
12 x 12 = 144 inch squares
2) If he wants to cover a smaller box that is 1/2 feet big than he would take the square of 1/2 which is 1/4 and multiple it to the original answer to get the answer of the new question
144 x (1/4) = 36 inch squares
I need help please :(
Answer:
[tex] 5^{-3} = \dfrac{1}{125} [/tex]
Step-by-step explanation:
Rule of negative exponents:
[tex] a^{-n} = \dfrac{1}{a^n} [/tex]
This problem:
[tex] 5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{5 \cdot 5 \cdot 5} = \dfrac{1}{125} [/tex]
Answer:
[tex]\boxed{\frac{1}{125}}[/tex]
Step-by-step explanation:
[tex]5^{-3}[/tex]
Apply rule:
[tex]\displaystyle a^{-b}=\frac{1}{a^b}[/tex]
[tex]\displaystyle 5^{-3}=\frac{1}{5^3}= \frac{1}{125}[/tex]
Bruno is designing his next skateboard. The skateboard store has 3 types of grip tape, 13 types of decks, 7 types of trucks, 4 types of bearings, and 2 types of wheels. How many different skateboards can Bruno create? Assume each skateboard will contain only one type of each component.
Answer:
2184 different combinations
Step-by-step explanation:
To find how many different combinations are possible, multiply all of the values:
3 * 13 * 7 * 4 * 2 = 2184 different combinations
Answer:
2,184 different skateboards.
Step-by-step explanation:
You would have to multiply
3 x 13 x 7 x 4 x 2 = 2184
If it helps you then please mark it as brainliest!
The perimeter of a rectangle is 10 feet. If twice the width is equal to half of the length , find the dimensions of this rectangle.
WRITE AS AN EQUATION
w = 1ft
l = 4ft
Step-by-step explanation:P =2w + 2l
2w = l/2 => l = 4w
10ft = 2w + 2×4w
10ft = 2w + 8w
10ft = 10w
w = 10ft/10
w = 1 ft
l = 4w
l = 4×1ft
l = 4 ft
Answer:
length = 4 ft
Width = 1 ft
Step-by-step explanation:
Let length = l ft
Width = w feet
[tex]\frac{1}{2}l = 2w\\\\l = 2w*2\\\\l = 4w[/tex]
Perimeter = 10 ft
2*(l +w)= 10
2*( 4w + w ) = 10
2*5w = 10
10w = 10
Equation: 10w = 10
Divide both sides by 10
10w/10 = 10/10
w = 1 ft
Plug in the value of w in l = 4w
l = 4 *1
l = 4 ft
A delivery truck company just bought a new delivery truck and they need to know the maximum volume it can carry. In the front of the truck, there is an extra ledge that sticks out over the driver's cab for extra storage space. What is the maximum amount of cargo that can fit into the new truck?
Answer:
The answer is below
Step-by-step explanation:
To find the maximum amount of cargo the truck can carry, we need to find the volume of the truck.
Volume = length × width × height.
Firstly 1 feet (1') = 12 inches (12"),
For the extra ledge that sticks out, the height = 7'8" = 7.667 feet, the width = 16'9" - 14'3" = 16.75 - 14.25 = 2.5 feet, the length = 2'7" = 2.583 feet
Volume of extra ledge = length × width × height = 2.583 × 2.5 × 7.667 = 49.5 feet³
For the truck, the height = 7'8" = 7.667 feet, the length = 14'3" = 14.25 feet, the width = 6'6" = 6.5 feet
Volume of truck = length × width × height = 14.25 × 6.5 × 7.667 = 710.16 feet³
The maximum volume = volume of extra ledge + volume of truck = 49.5 + 710.16 = 759.66 feet³
convert 0.129 into a percentage
Answer:
12.9%
Step-by-step explanation:
Answer:
0.129%
Step-by-step explanation:
Just add the percent sign
Triangle ABC is translated to image A′B′C′. In this translation, A(5, 1) maps to A′(6, –2). The coordinates of B′ are (–1, 0). What are the coordinates of B? B( , )
Answer:
-2, 3
Step-by-step explanation:
To find the coordinates of B, we need to understand the translation that has taken place. In a translation, each point of a figure is moved the same distance and in the same direction.
In this case, point A(5, 1) has been translated to point A'(6, -2). To find the distance and direction of the translation, we subtract the coordinates of A from the coordinates of A': Translation Vector [tex]= (6 - 5, -2 - 1) = (1, -3)[/tex] The translation vector represents the change in x and y coordinates between the original figure and its translated image.
Since B' has coordinates (-1, 0), we can apply the translation vector to find the coordinates of B as follows: B = B' - Translation Vector B [tex]= (-1, 0) - (1, -3)[/tex] B [tex]= (-1 - 1, 0 - (-3)) B = (-2, 3)[/tex] So, the coordinates of B are (-2, 3).
To know more about Translation Vector visit:
https://brainly.com/question/29027060
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The following equation has how many solutions? \left|x-1\right|=7 ∣x−1∣=7
Answer:
Two solutions.
[tex]x = 8, -6[/tex]
Step-by-step explanation:
Given the equation:
[tex]\left|x-1\right|=7[/tex]
To find:
Number of solutions to the equation.
Solution:
First of all, let us learn about modulus function.
[tex]|x|=\left \{ {{x\ if\ x>0} \atop {-x\ if\ x<0}} \right.[/tex]
i.e. Modulus function changes to positive by adding a negative sign to the negative values.
It has a value equal to [tex]x[/tex] when [tex]x[/tex] is positive.
It has a value equal to -[tex]x[/tex] when [tex]x[/tex] is negative.
Here, the function is:
[tex]|x-1|=7[/tex]
So, two values are possible for the modulus function:
[tex]\pm(x-1)=7[/tex]
Solving one by one:
[tex]x-1 = 7\\\Rightarrow x =8[/tex]
[tex]-(x-1) = 7\\\Rightarrow -x+1=7\\\Rightarrow x = -6[/tex]
So, there are two solutions, [tex]x = 8, -6[/tex]
The 4th term of an exponential sequence is 108 and the common ratio is 3. Calculate the value of the eighth term of the sequence.
Answer:
8748
Step-by-step explanation:
The formula for the nth term in a geometric sequence is ar^n-1.
We can find the first term, as a(3)^4-1 = 108 which also means that 27a = 108.
a = 4.
We find the 8th term using this:
(4)(3)^8-1 = (4)(3)^7 = 8748.
6 + x is an example of _____.
a formula
an expression
a constant
a variable
Answer:
An expression
Step-by-step explanation:
The constant in this case would be 6 because it never changes.
The variable would be x because the value of x can change.
A formula is a mathematical rule, which 6 +x is not.
Therefore, 6+x is an expression.
Which statement about the transformation is true?
Consider the transformation.
It is isometric because the side lengths remained the
same.
It is isometric because all angle measures remained the
same.
It is not isometric because the side lengths did not remain
the same.
It is not isometric because the angle measures did not
remain the same.
The image of the transformation is missing so i have attached it;
Answer:
Option C - The transformation is not isometric because the lengths did not remain the same.
Step-by-step explanation:
Transformation means that it preserves the length of the original figure which means that it is a distance preserving transformation.
Now, from the image of the question attached, the two figures can be said to be isometric if they are congruent.
Now, for the figure displaying the transformation we can see that the size of the original figure has changed.
We can see that the figure is dilated by a scale factor of 2 as each of the sides of the polygon which is a trapezoid is increased by a factor of 2.
Due to the fact that the lengths of sides of the original figure and transformed figure are are not same, we can say that the lengths are not preserved.
Thus, the transformation is not isometric because the lengths did not remain the same.
Answer:
C : It is not isometric because the side lengths did not remain the same.
Credits go to the person above me.
;)
Step-by-step explanation:
EDGE 2021
Consider the equation: x 2 − 6 = 2 − 18 x x 2 −6=2−18xx, squared, minus, 6, equals, 2, minus, 18, x 1) Rewrite the equation by completing the square. Your equation should look like ( x + c ) 2 = d (x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or ( x − c ) 2 = d (x−c) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d. 2) What are the solutions to the equation? Choose 1 answer: Choose 1 answer: (Choice A) A x = 9 ± 89 x=9±89x, equals, 9, plus minus, 89 (Choice B) B x = − 9 ± 89 x=−9±89x, equals, minus, 9, plus minus, 89 (Choice C) C x = 9 ± 89 x=9± 89 x, equals, 9, plus minus, square root of, 89, end square root (Choice D) D x = − 9 ± 89 x=−9± 89 x, equals, minus, 9, plus minus, square root of, 89, end square root
Answer:
1. (x+9)^2 = 89
2. (Choice D) D x = − 9 ± 89 x=−9± 89 x, equals, minus, 9, plus minus, square root of, 89, end square root
Step-by-step explanation:
x^2 - 6 = 2 - 18x
1) rewrite the equation by completing the square
x^2 - 6 = 2 - 18x
x^2 + 18x = 2+6
x^2 + 18x = 8
Find the half of the coefficient of x and square it
18x
Half=9
Square half=(9)^2
=81
Add 81 to both sides
x^2 + 18x = 8
x^2 + 18x + 81 = 8 + 81
x^2 + 18x + 81 = 89
(x+9)^2 = 89
Check:
(x+9)(x+9)=89
x^2 + 9x + 9x + 81=89
x^2 + 18x +81 =89
2) (x+9)^2 = 89
√(x+9)^2 = √89
x+9=√89
x=√89 - 9
It can be rewritten as
x= -9 ± √89
(Choice D) D x = − 9 ± 89 x=−9± 89 x, equals, minus, 9, plus minus, square root of, 89, end square root
Find the 9th term of the geometric sequence whose common ratio is 23 and whose first term is 3
Answer:
2.35 x 10^11
Step-by-step explanation:
The formula for finding the nth term in a geometric sequence is ar^n-1.
a = 3, r = 23, and n = 9:
3(23)^9-1 = 3(23)^8 = 2.35 x 10^11.
please help!!! which of these illustrates the associative property of multiplication?
Answer:
B
Step-by-step explanation:
The association property of multiplication states that if we have three numbers such as:
[tex]a\cdot b\cdot c[/tex]
Then the order of parentheses will not matter. In other words:
[tex](a\cdot b)\cdot c=a\cdot (b\cdot c)[/tex]
For instance:
[tex](3\cdot4)\cdot5=3\cdot(4\cdot5)[/tex]
For the choices, it must have at least three terms. Thus, eliminate A.
It must also have parentheses. Eliminate D.
Choice C represents the distributive property, where you distribute a factor into the expression.
Thus, the correct answer is choice B.
And as previously mentioned, the order of the parentheses does not make the product any different.
[tex]6*(9*1)=6*(9)=54\\(6*9)*1=(54)*1=54[/tex]
Answer:
The correct answer choice is B.
Step-by-step explanation:
The digits should still be in order, so A is incorrect. 6 * 91 does not even equal 69 * 1!
B shows that be can multiply 6 * 9 * 1 in any order. This means we can place a pair of parentheses around any of these numbers and the answer will still be the same.
C is incorrect. We want an equation that helps give us a better understanding of MULTIPLICATION, not ADDITION. The equation is also false.
Finally, D illustrates the commutative property of multiplication- you can multiply your numbers in any order and it will still have the same value. Put simply, it's incorrect.
Let me know if you need more elaboration!
HELP!!! Monica measures the number of bacteria that are living on her petri dish. Each day, she measures the amount of change in the number of bacteria. These amounts create a geometric sequence. Use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day. Day Amount of Change in Bacteria 1 2 2 −8 3 32 4 −128 A) −6553.2 B) −10.8 C)6554 D)11.6
Answer:
The correct option is;
C) 6554
Step-by-step explanation:
The given data are;
Day, Amount of change in Bacteria
1, 2
2, -8
3, 32
4, -128
Given that the data follows a geometric sequence, we have;
The first term of the series = 2, the common ratio = -4, the sum of a geometric progression is given by the following formula;
[tex]S_n = \dfrac{a \times \left (r^n - 1\right )}{r - 1}[/tex]
Which gives;
[tex]S_7 = \dfrac{2 \times \left ((-4)^7 - 1\right )}{(-4) - 1} = \dfrac{2 \times \left (-16384- 1\right )}{-4 - 1} = \dfrac{2 \times \left (-16385\right )}{-5} = 6554[/tex]
Therefore, the correct option is C) 6554.
Every ten minutes, Frankie follows a pattern in creating a new group of drawings. Below, you can see how many total drawings Frankie has created by the end of each ten-minute interval. If he continues to follow this pattern, at the end of seventy minutes, how many total drawings will Frankie have created?
Answer:
Frankie will have created 161 drawings.
Step-by-step explanation:
Answer:
161
Step-by-step explanation:
your welcome
How to work out the medium in maths
Answer:
To find the median you cross off the first few numbers and the last few until you get to the middle then when you get the middle number that will be your median
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
It's the middle value of a list of numbers arranged in order.
For example the median of the list 1 2 3 4 5 is 3.
If there are an even number of values, the median is the mean of the middle two. For example:
1 3 4 5 7 9:
The middle 2 numbers are 4 and 5 so
the median is (4 + 5) / 2 = 4.5
Solve equation and show all steps what is 3/8x=36
Answer:
x=96
Step-by-step explanation:
3/8x=36
Multiply both sides by 8/3.
[tex](\frac{8}{3}) (\frac{3}{8} x)=(\frac{8}{3} )[/tex]
x =96
Answer:
96
Step-by-step explanation:
36/3/8=36*8/3.
Therefore, 36*8 is 288,
Then you divide 3 from 288=288/3=96
The answer is 96.
Hopefully this answer helps!!!
Maddy is carrying a 555 liter jug of sports drink that weighs 7.5\text{ kg}7.5 kg7, point, 5, start text, space, k, g, end text. She wants to know how many kilograms a 222 liter jug of sports drink would weigh (w)left parenthesis, w, right parenthesis. She assumes the relationship between volume and weight is proportional. What is the weight of the 2 liter jug?
Answer:
w/2 = 7.5/5
3kg
Step-by-step explanation:
Remaining question below:
Which proportion could Maddy use to model this situation?
a. w/2 = 7.5/5
b. w/7.5 = 5/2
Solve the proportion to determine the weight of a 2 liter jug.
_____kg
5 liters jug of sport drink weighs 7.5kg
2 liters jug of sport drink will weigh x kg
Find w
Ratio of weight to volume
7.5kg : 5liters=7.5/5
wkg : 2 liters=w/2
Equates the ratio
7.5 / 5 = w / 2
Cross product
7.5*2=5*w
15=5w
Divide both sides by 5
3=w
w=3kg
Therefore, weight of the 2liters jug of sport drink is 3kg
Answer:
The answer is 3kg!
Step-by-step explanation:
Factorize Completely
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Hi my lil bunny!
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Factor [tex]2x^3-3x^2-17x+30[/tex]
[tex]2x^3-3x^2-17x+30[/tex]
= [tex]( x - 2) ( x + 3) ( 2x - 5)[/tex]
So your answer would be : [tex]( x - 2) ( x + 3) ( 2x - 5)[/tex]
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If this helped you, could you maybe give brainliest..?
Also Have a great day/night!
❀*May*❀
20. Find the midpoint between the given points.
(3, -8) and (-5, -13)?
I need an answer fast! help if you can!
Hi there! :)
Answer:
[tex]\huge\boxed{(-1, -10.5)}[/tex]
Use the midpoint formula to solve for the midpoint:
[tex](x_{m}, y_{m}) = (\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2}}{2})[/tex]
Plug in the points:
[tex](x_{m}, y_{m}) = (\frac{-5+3 }{2} , \frac{-13 -8}{2})[/tex]
Simplify:
[tex](x_{m}, y_{m}) = (\frac{-2 }{2} , \frac{-21}{2})[/tex]
[tex](x_{m}, y_{m}) = (-1 , -10.5)[/tex]
For the following system, if you isolated x in the first equation to use the substitution method, what expression would you substitute into the second equation?
−x + 2y = −6
3x + y = 8
Answer:
x = 2y + 6
Step-by-step explanation:
-x + 2y = -6
-x = -6 - 2y
x= 6 + 2y
x = 2y + 6
how many unique 10 digit numbers can be formed if the number 2 is in the first place and repetition is allowed?
Answer:
362880 ways
Step-by-step explanation:
Given
10 digits
Required
Number of 10 digits that can be formed if no repetition and 2 must always start;
Since digit 2 must always start and no repetition is allowed, then there are 9 digits left
Digit 2 can only take 1 position
9 digits can be arranged without repetition in 9! ways;
Calculating 9!
[tex]9! = 9 * 8 *7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]
[tex]9! = 362880[/tex]
Number of arrangement = 1 * 362880
Number of arrangement = 362880 ways
find the co efficient of m in the expression of ( m/2-3/2) ( m+2/3)
Answer:
Step-by-step explanation:
We will get m when we multiply (m/2)*(2/3) & m *(-3/2)
[tex]\frac{m}{2}*\frac{2}{3}+m*\frac{-3}{2}=\frac{m}{3}-\frac{3m}{2}\\\\\\=m(\frac{1}{3}-\frac{3}{2})\\\\\\=m(\frac{2}{6}-\frac{9}{6})\\\\\\=\frac{-7}{6}m[/tex]
Coefficient of m = -7/6
kind of urgent!! Please describe a real-world scenario in which it would be important to know how to apply scale factors.
One example is that you're given blueprints and you want to find out how large the object is in real life, rather than just on paper. The scale factor will help find those real life measurements. Let's say a house on paper is 2 inches long, and also let's say the scale factor is labeled "1 inch = 20 feet". This means the real life house is 2*20 = 40 feet long.
You could think of it as 1 inch = 20 feet, so 2 inches = 40 feet (multiply both sides by 2).
Scale factors are also used in maps. Look at the bottom corner of any map and it will show you how each distance on paper corresponds to a real life distance (in miles or kilometers maybe). Usually it shows a checkered "ruler" of sorts.
Answer:
everyday living
Step-by-step explanation:
Scale factors are involved in virtually every aspect of the logistics of everyday life. Scale factors of number of units, price per unit, and tax rate are applied to every shopping experience. Scale factors of miles per gallon, or daily rate, or number of travelers are applied to most travel experiences. Scale factors of number of people and/or serving size are applied to food planning--even when ordering pizza.
Scale factors are involved in virtually every aspect of engineering, from specifying or estimating a job, to scheduling, material choice, purchase, and application. Sometimes, these are "rules of thumb", and sometimes they are based on careful calculation.
Much of modern technology is based on the observation that computing power doubles every 2 years or so--a scale factor consistently seen for more than 50 years. This has informed systems planning in many different industries.
A container in form of a frustum of a cone is 16 cm in diameter at the open end and 24 cm diameter at the bottom. If the vertical depth of the container is 8 cm calculate the capacity of the container.
Answer:
The capacity of the container is 2546.78 cm³.
Step-by-step explanation:
The volume of the frustum of a cone is:
[tex]\text{Volume}=\frac{\pi h}{3}\cdot[R^{2}+Rr+r^{2}][/tex]
The information provided is:
r = 16/2 = 8 cm
R = 24/2 = 12 cm
h = 8 cm
Compute the capacity of the container as follows:
[tex]\text{Volume}=\frac{\pi h}{3}\cdot[R^{2}+Rr+r^{2}][/tex]
[tex]=\frac{\pi\cdot8}{3}\cdot[(12)^{2}+(12\cdot 8)+(8)^{2}]\\\\=\frac{8\pi}{3}\times [144+96+64]\\\\=\frac{8\pi}{3}\times304\\\\=2546.784445\\\\\approx 2546.78[/tex]
Thus, the capacity of the container is 2546.78 cm³.
