Answer: 7/9
I hope that helps. That’s the answer I got.
Answer:
Step-by-step explanation:
[tex][ \frac{5}{6}-(\frac{1}{3})^{2}]*\frac{1}{2}=[\frac{5}{6}-\frac{1}{9}]*\frac{1}{2}\\\\=[\frac{5*3}{6*3}-\frac{1*2}{9*2}]*\frac{1}{2}\\\\=[\frac{15}{18}-\frac{2}{18}]*\frac{1}{2}\\\\=[\frac{15-2}{18}]*\frac{1}{2}\\\\=\frac{13}{18}*\frac{1}{2}\\\\=\frac{13}{36}[/tex]
An airplane flies from point A to point B. Point A is 40 kilometers from a ground signal at point C. Point
B is 56 kilometers from the same ground signal. If AB = 80 kilometers, find the measure of ACB to
the nearest degree.
Answer:
112°
Step-by-step explanation:
The law of cosines can be used to find angle C from the three side lengths. The usual formulation of that law is ...
c^2 = a^2 + b^2 -2ab·cos(C)
Then the angle C can be found to be ...
C = arccos((a^2 +b^2 -c^2)/(2ab))
For the given side lengths,
C = arccos((40^2 +56^2 -80^2)/(2·40·56)) = arccos(-1664/4480)
C ≈ 112°
Which statements about the circle graph are correct? Check all that apply.
25% of the students said blue was their favorite color.
33% of the students said green was their favorite color.
25% of the students said orange was their favorite color.
50% of the students said either green or orange was their favorite color.
66% of the students said either orange or blue was their favorite color.
Answer: C and D
Step-by-step explanation:
25% of the students said orange was their favorite color.
50% of the students said either green or orange was their favorite color.
Answer:
the answer my friend would likley be c and:D
Step-by-step explanation:
Hope this helps
there is $412 and 3 purses how much is in each purse????
Answer:
$412/3 purses = $137.33/purse
Which expression is equivalent to 5(4f+3)-2f
Answer:
f = 5/6
Step-by-step explanation:
5(4f + 3) - 2f
= 20f + 15 - 2f
= 18f + 15
18f = 15
f = 15/18
f = 5/6
Jordana was shown this diagram of an isosceles trapezoid and its reduction. She was asked to find the perimeter of the reduced trapezoid. Her work is shown below.
A trapezoid with side lengths 30 centimeters, 12 centimeters, and 36 centimeters. A trapezoid with side lengths A, 4 centimeters, B.
Figures not drawn to scale.
Jordana’s Work
Scale factor
StartFraction 4 over 12 EndFraction = one-third
Side A
30 times one-third = 10
Side B
30 times one-third = 10
Perimeter
10 + 10 + 4 + 4 = 28
Where, if any, did Jordana first make a mistake in her work?
Jordana made a mistake when finding the scale factor.
Jordana made a mistake when she calculated the length of side A.
Jordana made a mistake when she calculated the length of side B.
Jordana did not make any mistakes in her work.
Answer:
C: Jordana made a mistake when she calculated the length of side B.
Step-by-step explanation:
Jordana made a mistake while calculating the length of side B.
What is a scale factor?A scale factor is a factor by which dimensions of an object are enlarged or diminished.
One parallel length i.e. side A of original isosceles trapezoid = 12cm
One parallel length i.e. side A of reduced isosceles trapezoid =4cm
So, scale factor = 4/12 =1/3
Other parallel length i.e. side B of original isosceles trapezoid =
So, the other parallel length i.e. side B of reduced isosceles trapezoid = 36*1/3 = 12cm
The side lengths of the reduced isosceles trapezoid = 30*1/3 = 10cm
So, the perimeter of the reduced isosceles trapezoid =4+12+10+10 =36cm
While Jordana calculated the length of side B as 4.
Thus, Jordana made a mistake while calculating the length of side B.
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Write an expression, using an exponent, that is equivalent to 8 X 8 X 8 X 8.
Answer:
8 to the 4th power
Step-by-step explanation:
Answer:
8 to the 4th power (but with the 4 to the top right of the 8)
Step-by-step explanation:
each 8 is one power
8x8x8x8
1 2 3 4
Can someone help me with this homework problem?
Answer:
I've already answered this question in another post:
full
[tex]\frac{\theta}{2\pi }[/tex]
[tex]A=\frac{\theta}{2}r^2[/tex]
Is one half percent equal to 50%?
Answer:
i know the answer
Step-by-step explanation:
The value of x is_degrees
Answer:
x=19
Step-by-step explanation:
The total angle in a straight line is 180 degrees.
To work this out you would first add 7 and 4 to -2, this gives you 9. Then you would minus 9 from 180, which gives you 171. This is because you are removing the extra numbers and so all you are left with is the x's. Then you would add 5x and x and 3x, which gives you 9x. Then you would divide 171 by 9, which gives you 19.
1) Add 7 and 4 and -2.
[tex]7+4+(-2)=9[/tex]
2) Minus 9 from 180.
[tex]180-9=171[/tex]
3) Add 5x and x and 3x.
[tex]5x+x+3x=9x[/tex]
4) Divide 171 by 9.
[tex]171/9=19[/tex]
5) [tex]x=19[/tex]
The sum of all the angles is 180 degrees because this is a supplementary angle.
5x + 4 + x - 2 + 3x + 7 = 180
Now you can combine like terms:
(5x + x + 3x) + (4 - 2 + 7) = 180
9x + 9 = 180
Now you must isolate x:
9x + 9 - 9 = 180 - 9
9x + 0 = 171
9x = 171
9x/9 = 171/9
x = 19
Check:
5(19) + 4 + 19 - 2 + 3(19) + 7
95 + 4 + 19 - 2 + 57 + 7
180
Hope this helped! Let me know if you have any further questions
~Just a girl in love with Shawn Mendes
HVAC technician average salary = $28/hour with a one-year Tech school certification costing an average of $7,500. What would your first pay be for your first year a work? Assume you work a 40 hour week for 50 weeks.
Answer:
The answer will be
$56,000
Step-by-step explanation:
40 times 28 times 50
If CDE ~ GDF, find ED
Answer:
10
Step-by-step explanation:
[tex]\triangle CDE \sim \triangle GDF.. (given) \\\\
\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\
\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}[/tex]
If triangle CDE ~ GDF , then length of ED is 10 unit.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion
In Triangles CDE and GDF, sides CD and DG , sides ED and DF are corresponding sides.
So, these corresponding sides will be in proportion.
[tex]\frac{CD}{DG}=\frac{ED}{DF}\\\\\frac{15}{x+3}=\frac{3x+1}{4}\\\\(3x+1)*(x+3)=60\\\\3x^{2} +10x-57=0\\\\3x^{2} +19x-9x-57=0\\\\x(3x+19) -3(3x+19)=0\\\\(x-3)(3x+19)=0\\\\x=3,x=-19/3[/tex]
Since, side can not be negative. Therefore, x= 3
[tex]ED=3x+1=3(3)+1=10 unit.\\[/tex]
Thus, length of ED is 10 unit.
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consider the formula F=NM/P, where F represents the fertility of the soil. N represents the amount of nutrients in the soil. M represents the amount of moisture in the soil. And P represents the amout of pollutants in the soil. select an apropriate measurment unit for fertility of soil
The options are missing, so i have attached it.
Answer:
Measurement unit for F = (Nutrients • Moisture)/Pollutants.
Option C is correct
Step-by-step explanation:
From the question, we are given the formula; F = NM/P
where;
N is the amount of nutrients in the soil
M is the amount of moisture in the soil.
P is the amount of pollutants in the soil
From the definition of the terms above, the units of the can be expressed as;
N = nutrients
M = moisture
P = pollutants
Thus, the measurement unit for fertility is;
F = NM/P = (Nutrients • Moisture)/Pollutants
Find the area of a circle with a diameter of 16.
*First time asking a question. I would appreciate any help.*
What is the surface area of a rectangular prism with A length of 4 cm, width of 5 cm and a height of 10 cm?
Answer:
220
Step-by-step explanation:
plug it into surface area formula for rectangular prisms
A=2(wl+hl+hw)
What is the decimal multiplayer to increase by 4.1%
Answer:
1.041
Step-by-step explanation:
In order to increase by 4.1%, you must multiply whatever number you have by the decimal: 1.041.
Say the number we want to increase by 4.1% is x. Then:
x + (4.1%) * x = x(1 + 4.1%) = x(1 + 0.041) = 1.041x
So, you would multiply by 1.041.
Hope this helps!
Answer:
1.041
Step-by-step explanation:
Increase of 4.1% is basically
100 + 4.1 = 104.1% of the previous value
In decimals,
1.041
The dot plot shows the number of hours students in the
band practiced their instruments.
Which describe the dot plot? Select all that apply.
There is a cluster from 3 to 4.
There is a gap between 1 and 3.
There is a peak at 4.
The data shows symmetry.
The data is skewed left.
The data is skewed right.
Answer:
There is a cluster from 3 to 4.
There is a gap between 1 and 3.
There is a peak at 4.
The data is skewed left.
Step-by-step explanation:
Edg
The correct statements are as follows:-
There is a cluster from 3 to 4.There is a gap between 1 and 3.There is a peak at 4.The data is skewed left.What is a scatter plot?Scatter plots are graphs that show how two variables in a data collection relate to one another. On a two-dimensional plane or in a Cartesian system, it represents data points.
The right statements for the dot plots are as follows:-
There is a cluster from 3 to 4.There is a gap between 1 and 3.There is a peak at 4.The data is skewed left.More about the scatter plot link is given below.
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The first data set represents a linear function with ___ slope.
Answer:
the first Data set represent alinear function with linear slope
Answer:
a
Step-by-step explanation:
can someone please help with this question.
Answer: d) (-1, 0); 2
Step-by-step explanation:
The equation of a circle is: (x - h)² + (y - k)² = r²
(h, k) is the centerr is the radius(x +1)² + y² = 4 can be rewritten as: (x - (-1))² + (y - 0)² = 2²
→ (h, k) = (-1, 0)
→ r = 2
Don collects trading cards. His favorites are baseball and football
cards. For every 8 baseball cards he owns, Don has 15 football cards.
What is the ratio of baseball cards to football cards in his collection?
1 of 5 QUESTIONS
8 and 15
8 to 15
15:8
SUBMIT
The ratio of baseball cards to football cards in Don's collection is 8 to 15.
Explanation:Given that for every 8 baseball cards, Don has 15 football cards, the ratio between baseball and football cards can be expressed as 8 to 15. This ratio signifies the comparative quantity of baseball cards to football cards in Don's collection.
Understanding ratios is essential to represent the relationship between different quantities or values. In this scenario, the ratio 8 to 15 indicates that for every 8 baseball cards, Don owns 15 football cards.
The ratio 8 to 15 is simplified, representing the proportional relationship between the number of baseball cards and football cards in a manner that showcases the relative quantity of each type of card Don possesses.
Ratios help in understanding and comparing quantities, providing a concise way to express relationships between different values or items, as demonstrated in the comparison between the number of baseball and football cards in Don's collection.
The ratio of guppies to angelfish in a shop is 2 : 3. The number of angelfish was 23the number of goldfish. The shopkeeper decided to replace 14of the guppies with some angelfish. The number of angelfish she added was equal to the number of guppies she replaced. There were 30 more goldfish than angelfish in the end. How many guppies were in the shop in the beginning?
Answer:
The number of guppies were in the shop in the beginning = 60
Step-by-step explanation:
guppies ⇒ x , angelfish ⇒ y , goldfish ⇒ z
guppies to angelfish = 2 : 3 ⇒ x : y = 2 : 3 ⇒ x = 2/3 y
The number of angelfish was 2/3 the number of goldfish ⇒ y = 2/3 z
Or z = 3/2 y
The shopkeeper decided to replace 1/4 of the guppies with some angelfish. The number of angelfish she added was equal to the number of guppies she replaced
so, the number of guppies = 0.75x
and the number of angelfish = y + 0.25 x = y + 0.25 * 2/3 y
There were 30 more goldfish than angelfish in the end
z - (y + 0.25 * 2/3 y) = 30
so, 3/2 y - (y + 0.25 * 2/3 y) = 30
3/2 y - y - 1/6 y = 30
1/3 y = 30
y = 90
x = 2/3 y =2/3 * 90 = 60
z = 3/2 * 90 = 135
so, the number of guppies were in the shop in the beginning = 60
Final answer:
By setting up variables for the number of guppies (G) and angelfish (A) and establishing equations based on the given ratios, we can determine that the shop initially had 40 guppies.
Explanation:
To determine how many guppies were in the shop originally, let's set up variables for the number of guppies (G) and angelfish (A). According to the information provided, the ratio of guppies to angelfish is 2:3, which can be represented by the equation G/A = 2/3. The number of angelfish was also 2/3 the number of goldfish (F), meaning A = (2/3)F. When 1/4 of the guppies are replaced with angelfish, the number of guppies becomes 3/4G, and the number of angelfish becomes A + 1/4G. In the end, we are told there are 30 more goldfish than angelfish. Therefore, we have F = A + 30.
From A = (2/3)F and F = A + 30, we can substitute (2/3)F for A in the second equation, yielding F = (2/3)F + 30. Solving this equation for F gives us F = 90. Using the earlier equation A = (2/3)F, we find A = 60. Now, since A was 2/3 the number of goldfish originally, and using G/A = 2/3, we solve for G by setting up the equation G/60 = 2/3, leading to G = 40. Hence, there were 40 guppies in the shop initially.
Find f(2) it f(x)=(x+1)^2
Steps to solve:
f(x) = (x + 1)^2; x = 2
~Substitute
f(2) = (2 + 1)^2
~Add.
f(2) = (3)^2
~Multiply the exponent
f(2) = 9
Best of Luck!
A certain drug dosage calls for 21 mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 181 pounds, how much of the drug should they get each dosage?
To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms and multiply it by the dosage of 21 mg per kg per day. Then, we divide the total amount by 2 to get the amount of the drug per dosage.
Explanation:To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms. Since 1 kilogram is equal to 2.2 pounds, we can divide the weight in pounds by 2.2 to get the weight in kilograms. In this case, 181 pounds is approximately 82.27 kilograms.
Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. This gives us the total amount of the drug needed per day. In this case, the total amount is approximately 1728.67 mg.
Since the drug is divided into two doses every 12 hours, we divide the total amount by 2 to get the amount of the drug per dosage. Each dosage should be approximately 864.34 mg.
Final answer:
To determine the amount of the drug that should be given each dosage, convert the weight from pounds to kilograms and multiply by the dosage of 21 mg per kg per day. The person should receive approximately 862.05 mg of the drug each dosage.
Explanation:
To determine the amount of the drug that should be given each dosage, we first need to convert the weight of the person from pounds to kilograms. 181 pounds is approximately equal to 82.10 kilograms. Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. Thus, the person should receive approximately 1724.10 mg of the drug per day. Because the dosage is divided into two doses, they should receive approximately 862.05 mg of the drug each dosage.
i need help please
Answer:
9/10
Step-by-step explanation:
1/2+2/5= 5/10+4/10= 9/10
Answer:
9/10
Step-by-step explanation:
You first need to find the Least Common Denominator, which is ten. Next, multiply the numerator by what you multiplied the denominator to get 10. You should have 5/10+4/10. Combine like terms to get 9/10
TL:DR
5/10+4/10
9/10
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
A. X-2
B. X-1
C. X+1
D. X+2
Answer:
Step-by-step explanation:
Answer C (x + 1) is correct; if we let x + 1 equal 0, we get the root (x-intercept) -1, which appears on this graph
X + 1 must be a factor of the polynomial graphed
How to find the factor
The factor is solved using the points where the graph intersects the x-axis.
This points are called the roots
Examining the graph the roots are x = -1 and x = 4
Hence x + 1 must be a factor
Consider the sequence 60, 53, 46, 39, 32, 25, ...
The common difference of this sequence is
Select one
formula for the sequence is
The tenth term for this sequence is
Select one
Answer:
The common difference of the sequence is -7
Step-by-step explanation:
Because each time the the numbers are going down by minus 7
The common difference of this sequence is, - 7
And, One formula for the sequence is,
⇒ a (n) = 67 - 7n
And, The tenth term for this sequence is,
⇒ a (10) = - 3
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
⇒ 60, 53, 46, 39, 32, 25, ...
Now, The common difference of this sequence is,
⇒ 53 - 60
⇒ - 7
And, One formula for the sequence is,
⇒ a (n) = a + (n - 1) d
⇒ a (n) = 60 + (n - 1) (- 7)
⇒ a (n) = 60 - 7n + 7
⇒ a (n) = 67 - 7n
And, The tenth term for this sequence is,
⇒ a (n) = 67 - 7n
⇒ a (10) = 67 - 7 x 10
⇒ a (10) = 67 - 70
⇒ a (10) = - 3
Thus, The common difference of this sequence is, - 7
And, One formula for the sequence is,
⇒ a (n) = 67 - 7n
And, The tenth term for this sequence is,
⇒ a (10) = - 3
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What is the name of the figure?
triangular prism
triangular pyramid
rectangular prism
rectangular pyramid
Answer:
Triangular Prism.
The name of the figuare is triangular prism, the correct option is A.
What is the trianular prism?In geometry, a triangular prism is a type of prism with three sides and two bases.
The sides are of rectangle shape and bases are of triangle shape.
A triangular prism is a popular polyhedron. It is having two triangular bases and three rectangular sides.
According to the nature of prism, the two triangular bases are parallel and congruent to each other. It is a pentahedron with nine distinct nets.
The edges and vertices of the bases are connected with each other.
The rectangular sides of this prism are rectangular in shape and are joint with each other side by side.
All the cross-sections parallel to the base faces are triangle.
The given image has the shape of trigular prism.
Hence, the name of the figuare is triangular prism, the correct option is A.
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Subtract.
4x^3−6x^2+8x−9 from 7x^3−16x+18
NEEDED ASAP (25pts)
In circle C, SQ = 10 cm.
Circle C is shown. Chords S Q and R P intersect at point C. Angle P C Q is 30 degrees.
Which statements about the circle are correct? Check all that apply.
Arc PQ is congruent to arc SR.
The measure of arc QR is 150°.
The circumference of circle C is 20π cm.
Arc PS measures about 13.1 cm.
Arc QS measures about 15.7 cm.
Answer:
1-Arc PQ is congruent to arc SR.
2-The measure of arc QR is 150°.
4-Arc PS measures about 13.1 cm.
5-Arc QS measures about 15.7 cm
Step-by-step explanation:
1,2,4,5
Answer:
A
B
D
E
Step-by-step explanation:
C is dum and wrong
A new car is purchased for $ 41 , 000 $41,000 and over time its value depreciates by one half every 3 years. What is the value of the car 17 years after it was purchased, to the nearest hundred dollars?
Answer:
$800
Step-by-step explanation:
A = P [tex](0.5)^{t}[/tex]
Because it's every 3 years, you need to find how many 3 years in the 17-year-period of time.
17/3 = 5.666...
P is initial amount:
A = $41, 000 [tex](0.5)^{5.666...}[/tex]
A = 41, 000 (0.01968...)
A = 807.13692...
A ≈ $800
Rounded to the nearest hundred dollars.
Answer:$800
Step-by-step explanation: trust
Please please please please help!
Wait bro you already got it