Answer:
x= 2, x=14
Step-by-step explanation:
#1
Take b=5,c=3
Lets verify
[tex]\\ \sf\longmapsto x=2[/tex]
[tex]\\ \sf\longmapsto |x-b|=c[/tex]
[tex]\\ \sf\longmapsto |2-5|=3[/tex]
[tex]\\ \sf\longmapsto |-3|=3[/tex]
Verified
#2
Take b=2,c=12
[tex]\\ \sf\longmapsto x=14[/tex]
[tex]\\ \sf\longmapsto |14-2|=12[/tex]
[tex]\\ \sf\longmapsto |12|=12[/tex]
Hence verified
What does p equal Help?
Answer:
your answer will be P=27
Step-by-step explanation:
hope it helps...
From a 18-foot roll of rubber hose, a person cuts lengths of 23 feet, 2 22 feet, and 6 61 feet. How much hose is left on the roll?
Answer:
Trick question? You can't cut 23 feet from an 18 foot roll.
Did you leave out the decimal points?
Step-by-step explanation:
Answer:
You can't cut 23 or 24 feet from 18 foot roll.
Express the shaded area as a fraction, a decimal, and a percent of the whole
Answer:
Fraction : 3/9
Decimal : 0.33333333 (the .3 continues)
Percent : 33.33333%
Step-by-step explanation:
Dividing 3 by 9 will give you a continous set of 3.
An icosahedron has twelve faces, the most of any Platonic solid.
Answer:
Step-by-step explanation:
True
What is the surface area? 4 mm 10 mm 5mm square millimeters
Answer:
200
Step-by-step explanation:
Length*Width*Hight= 4*10*5=200
hope this helps
Answer: I am pretty sure it is 200
Step-by-step explanation:
I may be wrong sorry if it is have a good day :)
2. The numbers from 101 to 150 are written as, 101102103104105.146147148149150.
What will be the remainder when this total number is divided by 3?
Answer:
We know that a number is divisible by 3 if the sum of its digits is a multiple of 3.
if the sum is a multiple of 3 + 1 (like 3*n + 1) the remainder is 1
if the sum is a multiple of 3 + 2 (like 3*n + 2) the remainder is 2.
Then we need to find the sum of all the single digits in the number:
101102103104...149150
the sum of all the single digits is:
( 1 + 1) + (1 + 2) + (1 + 3) + ... + (1 + 4 + 9) + ( 1 + 5)
The method i used is:
(from 101 to 110)
first we sum the hundreds digit 10 times, and then we add the unit digits for each case, this is:
1*10 + (1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 + 1) = 10 + 46
From (111 to 119)
first we add the sum of the hundreds and tens digits 10 times, and then the units:
2*9 + ( 1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 )
now if we also add the number 120 (so we have the range 111 to 120)
the sum becomes:
2*9 + ( 1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 ) + 1 + 2
2*10 + (1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 + 1 ) = 20 + 46
You already can see the pattern here.
in the range from (121 to 130) we will have the sum equal to 30 + 46
in the range from (131 to 140) we will have the sum equal to 40 + 46
in the range from (141 to 150) we will have the sum equal to 50 + 46
Then the total sum is:
(10 + 20 + 30 + 40 + 50) + 5*46 = 380
We know that 380 is multiple of 3 (because 3 + 8+ 0 = 12)
Then the remainder is 0.
The distance around a circle is 69.08 feet. Determine the area of the circle.
Answer:
138.16
Step-by-step explanation:
Admission prices at a football game were $5 for adults and $ 2 for children.
The total value of the tickets sold was $2520, and 654 tickets were sold. How many adult
tickets and how many child tickets were sold?
Show all six steps.
Answer:
404 adult tickets were sold, and 250 child tickets.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that
x is the number of adult tickets sold.
y is the number of child tickets sold.
654 tickets were sold.
This means that
[tex]x + y = 654[/tex]
[tex]y = 654 - x[/tex]
Admission prices at a football game were $5 for adults and $ 2 for children. The total value of the tickets sold was $2520.
This means that
[tex]5x + 2y = 2520[/tex]
Since [tex]y = 654 - x[/tex]
[tex]5x + 2(654 - x) = 2520[/tex]
[tex]5x + 1308 - 2x = 2520[/tex]
[tex]3x = 1212[/tex]
[tex]x = \frac{1212}{3}[/tex]
[tex]x = 404[/tex]
[tex]y = 654 - x = 654 - 404 = 250[/tex]
404 adult tickets were sold, and 250 child tickets.
A carpenter is creating two new templates for his designs. One template will be in the shape of a right triangle, where the longer leg is 4 inches more than six times the shorter leg. The second template will be in the shape of a rectangle, where the width is 5 inches more than the triangle’s shorter leg, and the length is 3 inches. The carpenter needs the areas of the two templates to be the same. Write a system of equations to represent this situation, where y is the area, and x is the length of the shorter leg of the triangle. Which statement describes the number and viability of the system’s solutions?
A. The system has two solutions, but only one is viable because the other results in negative side lengths.
B. The system has only one solution, and it is viable because it results in positive side lengths.
C. The system has only one solution, but it is not viable because it results in negative side lengths
. D. The system has two solutions, and both are viable because they result in positive side lengths.
Answer:
The system has two solutions, but only one is viable because the other results in negative side lengths.
Step-by-step explanation:
Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.
Can someone help me solve for x please it’s urgent
Answer:
37.5
Step-by-step explanation:
16/46 = 20/(20+x)
or, 16(20+x) = 46×20
or, 320 + 16x = 920
or, 16x = 600
or, x = 600/16
x = 37.5
If Johnny caught 2 out of 5 catfish on his first fishing trip how many catfish can he expect to catch if he caught a total of 60 fish?
60
24
600
6
Answer:
B, 24
Step-by-step explanation:
2 : 5 ratio of catching catfish
X : 60
2/5 = X/60
6 x (2/5) = (X/60) x 60
60 x (2/5) = X
X = 60 x (2/5)
X = 24
Therefore he can except to catch 24 catfish
A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated that the overall population mean is $265 with a standard deviation of $40.93. The researcher has a sample of 130 ticket purchases from one location. By the central limit theorem, which interval can the researcher be 95% certain that the sample mean will fall within?
A.
$261.41 and $268.59
B.
$257.82 and $272.18
C.
$264.37 and $265.63
D.
$254.23 and $275.77
Answer:
I believe answer B.
Jazz emerged as musicians combined elements of
A. bluegrass, hip-hop, and concert band music
B. classical, ragtime, and blues
C. folk, rap, and movie music
D. classical, lullabies, and rock 'n' roll
Answer:
B
Step-by-step explanation:
Answer:
The person above is correct.
Step-by-step explanation:
Don't have proof I just know, trust\( ̄︶ ̄*\))
Hi please help me with these questions asap.
Step-by-step explanation:
A. r=42/2=21
B.
[tex] {21}^{2} \pi + 60 \times 42 = \\ = 441\pi + 2520[/tex]
C.
[tex]42\pi + 60 \times 2 = \\ = 42\pi + 120[/tex]
What is the possible number of solutions to a system of linear equations in three variables? Select the three
correct answers.
a) 4
b) 1
c) infinitely many
d) 3
e) 2
a and d and ehxgfhsy eyehe74vd surge
If ADC measures 35º, what does
Answer:
by inscribed angle rule do it.
Step-by-step explanation:
hope this help
Answer:
70°
Step-by-step explanation:
∠ADC is a inscribed angle. ∠ABC is a central angle. The inscribed angle's measurement will be 1/2 of the measurement of the central angle.
In this case, the inscribed angle ∠ADC is given to you with a measurement of 35°. To solve for ∠ABC, multiply 2 to the given value:
35 x 2 = 70
70° is your answer.
~
Mrs. Spina bought 4 boxes of 8 pork chops. She set aside 12 and separated the rest into packs of4 to freeze. How many packs of chops did Mrs. Spina freeze
Step-by-step explanation:
Number of pork chops Mrs Spina bought =
Number of boxes x number of pork chops per box
= 4x8
= 32
Number of Pork chops to freeze = 32 - 12 (set aside) = 20
Number of packs of pork chops to freeze = Number of pork chops to freeze / pork chops per pack
= 20/4
= 5 packs.
If n and k are positive integers and 8” = 2*, what is the value of n/k
Answer:
B) 1/3
Step-by-step explanation:
If n=1 and k=3, then 8^n=2^k is true. Therefore, n/k=1/3.
If <2 = <6, which must be true about <2?
Answer:
If 2 6, which must be true about 2? 2 is complementary to 5.
Step-by-step explanation:
Welcome for the answer. This answer is for good intentions only, report if necessary. Thank you and have a good rest of your day!I know I just fill in -1 with x but I’m stuck with 2 different answers and this is an exam sooooo I don’t wanna risk it. Can someone please tell me the answer?
Answer:
g(-1) = 4
Step-by-step explanation:
Given:
g(x) = [tex] \frac{3x^2 - 2x + 7}{2x + 5} [/tex]
To find g(-1), substitute x = -1
Thus:
g(-1) = [tex] \frac{3(-1)^2 - 2(-1) + 7}{2(-1) + 5} [/tex]
g(-1) = [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]
= [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]
= [tex] \frac{12}{3} [/tex]
g(-1) = 4
ASAP ASAP ASAP ASAP please please help ASAP ASAP please please ASAP ASAP please ASAP help please please ASAP please
Step-by-step explanation:
The lateral area is
[tex]42\pi[/tex]
The surface area is
[tex]60\pi[/tex]
The volume is
[tex]63\pi[/tex]
Ahamd wants to cover a box that is 6 cm long 4 cm high and 4 cm wide with material on all the sides how much material does he need
Answer:
128cm²
Step-by-step explanation:
To find out how much material he needs, you need to find the surface area of the box. Each box has 6 sides, 2 of 3 different sides.
Surface area = 2(6 × 4) + 2(6 × 4) + 2(4 × 4)
= 128cm²
30 points for this A special truck cleans the surface of the ice rink shown. The figure is composed of a square and two semicircles.
85 ft
85 Ft
If the truck cleans the entire surface, how many square feet of ice will the truck clean?
Use 3.14 for . Round your answer to the nearest tenth.
The truck will clean about
square feet of ice
Answer:
12897 square feet
Step-by-step explanation:
So first find the area of the square:
85 * 85 = 7225
Then, the two semi circles together is a full circle. Use the circle area formula,
A = πr^2
The radius (r) would be half the diameter of the circle. The diameter of the circle would be 85. So half of that is 42.5. The radius is 42.5
Now:
A = π(42.5)^2
A = 3.14(42.5)^2
A = 3.14(1806.25)
A = 5671.625
Lastly, add the two areas up for the square and circle:
7225 + 5671.625 = 12896.625
Round to nearest tenth: 12897
Select the correct answer.
If a six-sided die is rolled 30 times, how many times can you expect to get a 6?
OA 3
OB.
5
OC. 6
OD 10
PL HELP WILL MARK BRAINLY 10 POINTS
Answer:
5 times
Step-by-step explanation:
1/6·30=5
so your answer is b)5
Can i have a brainliest please or 10 points?
If cos 0 = 3/radical 22 and angle 0 is in Quadrant I, what is the exact value of tan 20 in
simplest radical form?
Answer:
[tex] \tan2\theta =-\dfrac{3\sqrt{13}}{2} [/tex]Step-by-step explanation:
To find:-
The value of [tex]\tan2\theta[/tex] .Answer:-
We are here given that the value of,
[tex]\longrightarrow \cos\theta=\dfrac{3}{\sqrt{22}} \\[/tex]
And we know that cosine is the ratio of base and hypotenuse. Therefore,
[tex]\longrightarrow \cos\theta =\dfrac{b}{h} \\[/tex]
So we can also say that,
[tex]\longrightarrow \cos\theta = \dfrac{b}{h}=\dfrac{3}{\sqrt{22}}\\[/tex]
Let us take the given ratio to be 3x:√22x . Now we may find out the value of perpendicular using Pythagoras theorem . The Pythagoras theorem is ,
Pythagoras theorem:-
In a right angled triangle the sum of squares of perpendicular and base is equal to the square of hypotenuse.Mathematically,
[tex]\longrightarrow \boxed{ \boldsymbol{p^2+b^2=h^2}} \\[/tex]
where the symbols have their usual meaning.
On substituting the respective values, we have;
[tex]\longrightarrow p^2+(3x)^2=(\sqrt{22}x)^2 \\[/tex]
[tex]\longrightarrow p^2 = 22x^2-9x^2\\[/tex]
[tex]\longrightarrow p^2=13x^2 \\[/tex]
[tex]\longrightarrow \boldsymbol{ p = \sqrt{13}x} \\[/tex]
Now again , we know that, tangent is defined as the ratio of perpendicular and base. Therefore,
[tex]\longrightarrow \tan\theta = \dfrac{p}{b} \\[/tex]
[tex]\longrightarrow \tan\theta = \dfrac{\sqrt{13}x}{3x}\\[/tex]
[tex]\longrightarrow \boldsymbol{ \tan\theta = \dfrac{\sqrt{13}}{3}}\\[/tex]
Now we may use a identity which is ,
[tex]\longrightarrow\boxed{ \boldsymbol{ \tan (2x)= \dfrac{2\tan x}{1-\tan^2 x}}}\\[/tex]
On substituting the respective values, we have;
[tex]\longrightarrow \tan2\theta = \dfrac{ 2\tan\theta}{1- \tan^2\theta}\\[/tex]
[tex]\longrightarrow \tan2\theta = \dfrac{2\bigg(\dfrac{\sqrt{13}}{3}\bigg)}{1-\bigg(\dfrac{\sqrt{13}}{3}\bigg)^2 } \\[/tex]
[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{1-\dfrac{13}{9}} \\[/tex]
[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{9-13}{9}} \\[/tex]
[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{-4}{9}} \\[/tex]
[tex]\longrightarrow \tan2\theta = -\dfrac{2\sqrt{13}\cdot 9}{3\cdot 4 } \\[/tex]
[tex]\longrightarrow \boxed{\boldsymbol{ \tan2\theta = -\dfrac{3\sqrt{13}}{2}}} \\[/tex]
This is the required answer .
8) Do these ratios form a proportion?
20 pedestrians : 5 years
7 pedestrians : 1 year
Please provide explanation.
Answer:
Since the division of the number of pedestrians by the number of years yields different values for each ratio, these ratios do not form a proportion.
Step-by-step explanation:
They will form a proportion if the division of the number of pedestrians by the number of years yields the same results.
20 pedestrians : 5 years
20/5 = 4 pedestrians per year.
7 pedestrians : 1 year
7/1 = 7 pedestrians per year.
Since the division of the number of pedestrians by the number of years yields different values for each ratio, these ratios do not form a proportion.
An equation is shown, where 0 < x < 90 and 0
cos (x) = sin(yº)
Create an expression for x in terms of y.
The expression of x in terms of y for the case when cos(xº) = sin(yº) is x° = cos^(-1)sin(y°)
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
For this case, we have to express x in terms of y for [tex]\cos(x^\circ) = \sin(y^\circ)[/tex]
Since 0 < x < 90, and 0 < x < 90 so taking inverse cosine gives:
[tex]x^\circ= \cos^{-1}(\sin(y^\circ))[/tex]
Thus, the expression of x in terms of y for the case when cos(xº) = sin(yº) is [tex]x^\circ= \cos^{-1}(\sin(y^\circ))[/tex]
Learn more about inverse trigonometric functions here:
https://brainly.com/question/12551115
all numbers that have an absolute vlue of -3
Answer:
No numbers have an absolute value of -3
Step-by-step explanation:
hippity hoppity your pints are my property
absolute value cannot be negative tho
A restaurant can seat 100 diners. Four of
the tables can each seat 6 people. The
rest of the tables can each seat 4 people.
How many tables does the restaurant
have in all?
100 people
6x4= 24
100-24= 76
76÷4= 19
19+4=23
lmk if I'm wrong
a new desk cost (d) dollars. A bookshelf cost $114 less than the desk. A new lamp cost twice as much as the bookshelf
Answer: what are you looking for (d)? there isnt enough info
Step-by-step explanation: