Answer:
[tex]\huge\boxed{x = -5.8}[/tex]
Step-by-step explanation:
2x + 17.6 = 6
Subtracting both sides by 17.6
2x = 6 - 17.6
2x = -11.6
Dividing both sides by 2
x = -11.6 / 2
x = -5.8
The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 36°.Calcule the height of the pole
===================================================
Work Shown:
x = starting length of the shadow
y = height of the pole
tan(angle) = opposite/adjacent
tan(58) = y/x
1.6003345 = y/x
1.6003345x = y
x = y/1.6003345
x = (1/1.6003345)y
x = 0.62486936y
-------------------------
When the angle changes, the adjacent side gets 90 meters longer
tan(angle) = opposite/adjacent
tan(36) = y/(x+90)
0.72654253 = y/(0.62486936y+90)
0.72654253(0.62486936y+90) = y
0.453994166y + 65.3888277 = y
65.3888277 = y-0.453994166y
65.3888277 = 0.546005834y
0.546005834y = 65.3888277
y = 65.3888277/0.546005834
y = 119.758478075162
y = 119.76
The height of the pole is about 119.76 meters.
What adds to be the bottom numbers but also multiplies to be the top?
39 at the bottom and 25 on the right above 39
Answer:
well i cant answr it if i oont have more inforomartion
Step-by-step explanation:
Answer:
Step-by-step explanation:
if we add 11,36,61,... to the bottom we get bottom as a multiple of numerator.
The specifications for the diameter of a molded part are 10 mm ± 0.5 mm. The actual average and standard deviation from 250 parts sampled is 10.1 mm and 0.1 mm, respectively. The process can be characterized as:
Answer: Capable
Step-by-step explanation: The capability of a process could be exaplained as a measure of the ability of a process to produce part within specified limits by making use of statistical measurement. In determining if a certain process is capable or not, the value of process capability (Cp) is measured, in most cases, a process is deemed capable by having a Cp value of 1.33 or higher.
Cp formula :
(Upper specification limit(USL) - Lower specification limit(LSL) ) / 6* standard deviations
Diameter = 10 mm ± 0.5 mm
Standard deviation = 0.1mm
USL = 10 + 0.5 = 10.5
LSL = 10 - 0.5 =. 9.5
Cp = (10.5 - 9.5) / 6*0.1
Cp = 1/0.6
Cp = 1.6666
Cp = 1.67
Hence, the process is capable
Let f(x) = 4x - 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.
Answer:
7x + 2
Step-by-step explanation:
Answer:
All real numbers
Step-by-step explanation:
Adding f(x) and g(x) together gets you, (4x-5) + (3x-7) = 7x - 12
If you graph this function you get a slanted line, which extends forever so the domain will be all real numbers.
The sum of three consecutive multiples of 7 is 777 find these multiples
let the consecutive multiples be 7(n-1) , 7n and 7(n+1)
so 7(n-1)+7n+7(n+1)=777
or 3n=111,
n=37
252,259,266
[tex]7n+7n+7+7n+14=777\\21n=756\\n=36\\\\7n=252\\7n+7=259\\7n+14=266[/tex]
252,259,266
Please help.. I'm really stuck
Answer:
C. C only
Step-by-step explanation:
Well to determine if the given graphs are functions we need to do the vertical line test to all the graphs,
A. This fails the vertical line test because the vertical line could pass through 2 points on the lines.
B. this also fails because a vertical line could pass through 2 points.
C. This passes because the vertical line doesn’t touch 2 points.
f(x)=x^2 what is g(x)?
pls help me
Answer:
C.
Step-by-step explanation:
The transformation f(x) ---> a f(x) stretches the graph of f(x) vertically by a factor a.
The point (1, 1) on f(x) transforms to (1,9) on g(x).
This is a vertical transformation of factor 9, so g(x) = 9f(x)
= 9x^2 or (3x)^2.
5a - 2b for a = -2 and b = 5
Answer:
-20
Step-by-step explanation:
5a - 2b a=-2 b=5
5(-2)-2(5)
-10-10=-20
Answer:
The answer is - 20Step-by-step explanation:
5a - 2b
To find the value of the expression when
a = -2 and b = 5
Substitute the values of a and b into the expression
That's
5(-2) - 2(5)
-10 - 10
-20
We have the final answer as -20
Hope this helps you
hello :) why is the first one wrong?
Answer:
The cube only belongs to the x and not 2x.
The statement will only be true if there is a bracket around the 2x.
log₃(2x)³= 3log₃2x
logarithm power rule:
logₐ(x)^y = y ∙ logₐ(x)
Answer:
see explanation
Step-by-step explanation:
Given
[tex]log_{5}[/tex] 2x³
= [tex]log_{5}[/tex] 2 + [tex]log_{5}[/tex] x³
= [tex]log_{5}[/tex] 2 + 3[tex]log_{5}[/tex] x
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?
Answer:
She needs to jog 7 laps to make sure she covers at least 7.5 miles
Step-by-step explanation:
Kelly's goal is to complete 7 1/2 miles which in decimal form is: 7.5 miles.
Each lap around the park is 1 1/5 miles, which in decimal form is written as: 1.2 miles
Then, to find how many laps she needs to complete we do the quotient:
7.5/1.2 = 6.25
which means that she needs a quarter of a lap more than 6 laps, so she needs to go for 7 laps to meet the goal
Given only a compass and straightedge, Greeks were able to construct only
regular polygons and circles, thus leaving many constructions impossible to
complete.
A. True
B. False
A regular heptagon (7-sided figure) cannot be constructed with a compass and straightedge.
03. O preço a ser pago por uma corrida de táxi inclui uma parcela fixa, denominada bandeirada, e uma parcela que depende da distância percorrida. Se a bandeirada custa R$ 3,20 e cada quilômetro rodado custa R$ 1,50, qual o valor de v a pagar em uma corrida de n quilômetro? * 1 ponto a) v = 1,50 + 3,20n b) v = 3,20.N c) v = 3,20.N - 1,50 d) v = 3,20 + 1,50n e) v = 1,50n
Answer: d) v = 3.20 + 1.50n.
Step-by-step explanation:
Let 'v' be the price to pay in a 'n' kilometer.
Given: The price to be paid for a taxi ride includes a fixed parcel, called a flag, and a parcel that depends on the distance traveled.
Flag costs = $ 3.20 and
Each kilometre run costs = $ 1.50
Then, the amount of 'v' to pay in a 'n' kilometer race = Flag costs + (n)× (Each kilometre run costs )
⇒ v= 3.20 + 1.50n
Hence, the correct option is d) v = 3.20 + 1.50n.
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!
PLEASE FOR THE LOVE OF FOOD ANSWER MY QUESTION!
Given that a quadrilateral PQRS is a parallelogram, PQ and RS are opposite sides, PQ = 7x + 16, RS = 5x +28, and QR = 67 which of the following statements are correct? More than one answer may be correct.
Answer:
PQ = 58
Perimeter = 250
Opposite sides are congruent
Step-by-step explanation:
PQ = 58:
Because PQRS is a parallelogram, PQ equals RS.
1. Set up the equation and solve
7x + 16 = 5x + 28
2x = 12
x = 6
2. Plug in x into PQ
7(6) + 16 = 58
Perimeter = 250:
PQ = RS and QR = SP
1. Add the sides
58 + 58 + 67 + 67 = 250
Opposite sides are congruent:
definition of a parallelogram
Father's age is 3 times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of two children. Find the age of father.
Answer:
45 is the father's age
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 6 in this number.
672,180
Six hundred thousand
Hope it helps :)
Find the length of UX
A. 6.03
B. 76.11
C. 7.96
D. 76.53
Answer:
Answer would be D
Step-by-step explanation:
The measure of the length UX will be 76.53 units. Then the correct option is D.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The measure of the length UX will be given by sine of angle 6°.
sin 6° = UR / UX
0.1045 = 8 / UX
UX = 76.53 units
Then the correct option is D.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
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Find the measure of each side indicated. Round to the nearest tenth.
А) 8.2 В) 8.8
C) 7.1 D) 93
Answer:
[tex]\huge\boxed{x = 8.2}[/tex]
Step-by-step explanation:
Sin θ = opposite / hypotenuse
Where θ = 34 , opposite = 4.6 and hyp = x
Sin 34 = 4.6 / x
0.6 = 4.6 / x
x = 4.6 / 0.6
x = 8.2
Answer:
x = 8.2
Step-by-step explanation:
Since we have a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 34 = 4.6 /x
x sin 34 = 46
x = 4.6 /sin 34
x =8.22614159
To the nearest tenth
x = 8.2
A table costs Rs 720 to make. He sells it for Rs 920. What percentage of profit did he earn?
Answer:
27 7/9%
Step-by-step explanation:
Take the selling price and subtract the cost
920 -720 = 200
Divide it by the cost
200/720
.27777777
Change to percent form
27.777777%
27 7/9%
Answer:
profit percentage = 27.8 %Step-by-step explanation:
To find the percentage of profit we use the formula
[tex] \frac{profit}{cost \: \: price \: } \times 100[/tex]
Subtract the cost price from the selling price to obtain the profit
Cost price = Rs 720
Selling price = Rs 920
Profit = Rs 920 - Rs 720 = Rs 200
So the profit percentage is
[tex] \frac{200}{720} \times 100[/tex]
We have the final answer as
profit percentage = 27.8 %Hope this helps you
describe importance of public participant
Answer:
the main aim of public participant is to encourage the public to have a meaningful input into the decision making process.
(07.06A) Which scenario best matches the linear relationship expressed in the equation y = 13.50x + 300? Bobby has $300 in the yearbook fund and spends $13.50 on each yearbook. Bobby has $13.50 in the yearbook fund and spends $300 on each yearbook. Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold. Bobby has $13.50 in the yearbook fund and earns $300 for each yearbook sold.
Answer:
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
Step-by-step explanation:
The value of the expression when x is zero is 300. For each increment of 1 in x, the value of the expression increases by 13.50. This best matches the scenario ...
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
convert 28km into cm
Answer:
28km to cm = 2,800,000cm
Step-by-step explanation:
In order to convert km to cm you have to times it by 100,000
So... 28 x 100,000 = 2,800,000
Hope this helps
Answer:2,800,000cm
Step-by-step explanation:
To convert a larger unit into a smaller unit, you must first check how much does the smaller unit need to make the larger unit. Then multiply the given larger unit to the amount of smaller unit that is equal to 1 of the larger unit.
Because: 100,000cm = 1km
So = 28km×100,000 =2,800,000cm
68) Volume of a Bucket: Determine the volume of a cylindrical bucket in cubic inches if the bucket's radius is 5 in.
and the height is 12 in. The formula for the volume of a cylinder is V = yrah. Use the Te key on your calculator.
Answer:
V = 300[tex]\pi[/tex] in³ or 942.48 in³
Step-by-step explanation:
Use the cylinder volume formula, V = [tex]\pi[/tex]r²h, where r is the radius and h is the height.
Plug in the values and solve:
V = [tex]\pi[/tex](5²)(12)
V = 300[tex]\pi[/tex] in³ or 942.48 in³
PLEASE HELP ASAP!! (: One link below. I WILL NAME BRAINLIEST!! 30 points (: Make sure to show ur work. One who shows work and gets correct, gets title of Brainliest!! (: Convert the percentages to a fraction, and then convert the fraction to a mixed number or a whole number!
Answer:
[tex]\boxed{\sf{view \: explanation}}[/tex]
Step-by-step explanation:
To convert percentages into a fraction, divide the value by 100.
[tex]\displaystyle 800\% =\frac{800}{100} =8[/tex]
[tex]\displaystyle 375\% = \frac{375}{100} =\frac{15}{4} =3\frac{3}{4}[/tex]
[tex]\displaystyle 240\% = \frac{240}{100} =\frac{12}{5} =2\frac{2}{5}[/tex]
Answer:
see below
Step-by-step explanation:
To change a percent to a fraction, divide by 100 and simplify
800% = 800/100
Dividing by 100
= 8/1
=8
375% = 375/100
Dividing by 25
=15/4
Changing to a mixed number
4 goes into 14 3 times with 3 left over
3 3/4
240% = 240/100
Dividing by 20
=12/5
Changing to a mixed number
5 goes into 12 2 times with 2 left over
= 2 2/5
if the first step of the equation -x + 6 = 5 - 3x is "subtract 5" then what should the next step be
Answer:
The next step is add x to each side
Step-by-step explanation:
-x + 6 = 5 - 3x
Subtract 5 from each side
-x + 6-5 = 5-5 - 3x
-x+1 = -3x
Add x to each side
-x+1 = -3x+x
1 = -2x
Answer:
Step-by-step explanation:
all you need to do is solve for x right? so in that case when you subtract 5 from both sides you get -x+1=-3x
then you will add x on each side
you should now have 1=-2x
divide each side by -2 and then you will have
-1/2=x
What is the smallest number than can be subtracted from 438 to make it
exactly divisible by 5? Give a reason for your answer.
Answer:
3
Step-by-step explanation:
basically the largest number decided by 5 smaller than 438 is 435. so the answer is 3
Answer:
Any number divisible by 9 must have the sum of its digits divisible by 9. The sum of the digits of 456 is 15, so you need to subtract 6.
PLEASE HELP FOR REAL
In exercises 22 24 , describe how the change affects the surface area of the right prism or right cylinder .
Answer:
22. The surface area is 1/9 of its original value
24. The surface area is 120 m^2 less than its original value.
Step-by-step explanation:
22. For similar figures, the surface area is proportional to the square of the linear dimension scale factor. Multiplying all linear dimensions by 1/3 will result in reducing the surface area to (1/3)^2 = 1/9 of its original value.
__
24. As above, the scaled base surface area will be (1/4)^2 = 1/16 of its original value. Since one dimension of the lateral area is multiplied by 4 and the other dimension is multiplied by 1/4, the net effect on that area is multiplication by (1/4)(4) = 1. That is, the lateral area will remain unchanged.
The overall surface area will be reduced by 15/16 of the area of the bases. The area of the bases is (2)(1/2)(8 m)(16 m) = 128 m^2. The changed figure will have a surface area that is 120 m^2 smaller.
The volume of air in a balloon is represented by the function v(n) = ne?, where r is the radius of the balloon, in
inches. The radius increases with time, in seconds, by the function -1) = 4,2. Which statements are true? Check all
that apply
When V is composed with r, the composite function is
mt
48
When V is composed with r, the composite function is
is u216.
V(r(6)) shows that the volume is 9724 in. when the radius increases to 6 inches
V[r(8)) shows that the volume is 16384 7 in.) when the radius increases to 16 inches.
3
The domain of V(t) is all real numbers.
Answer:
When V is composed with r, the composite function is StartFraction 1 Over 48 EndFraction pi t Superscript 6
V(r(6)) shows that the volume is 972π inches cubed when the radius increases to 6 inches.
Step-by-step explanation:
Answer:
1 and 3 on edge
Step-by-step explanation:
Find a49 of the sequence 70,63,56,49,…. A. -63 B. -266 C. -273 D. -243
Answer:
(B) -266
Step-by-step explanation:
The formula to find the nth term in a sequence is:
[tex]x_{n} = a + d(n-1)[/tex], where a is the first term and n is the "difference."
Looking at this equation, we can see that the number decreases by 7 each time and the first term is 70.
So:
[tex]x_n = 70 + -7(n-1)[/tex]
Solve for the equation:
[tex]x_n = 70 + -7n+7\\x_n = -7n+77[/tex]
Since we want to find the 49th term:
[tex]x_9 = -7(49) + 77\\x_9 = -343+77\\x_9 = -266[/tex]
Hope this helped!
I order 700 notebooks by accident. I only need 3⁄7 of my order. How many notebooks do I return?
I have to return 400 notebooks.
Here, we have,
given that,
I order 700 notebooks by accident. I only need 3⁄7 of my order.
To determine how many notebooks you need to return, you can calculate 4/7 of your order, which represents the portion you don't need.
Let's calculate it step by step:
Calculate the number of notebooks you don't need:
4/7 * 700 = 400
we have,
I only need 3⁄7 of my order.
so, i need = 3/7 * 700
= 300
Subtract the number of notebooks you need from the total order to find the number of notebooks you should return:
700 - 300 = 400
Therefore, you should return 400 notebooks.
To learn more on subtraction click:
brainly.com/question/2346316
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