Hello,
All the numbers must begin with 6.
There are still 2,3,4,5 digits : 4 possibilities.
4!=4*3*2*1=24
The first is 62345 and the last 65432.
The rope required to measure the diametwr of acicular pond is 90 m shorter than measurin its circumference. find the diameter of the pond.
11. What is the value of y when 10y-5=20
Answer:
y = 2.5
Step-by-step explanation:
Given
10y - 5 = 20 ( add 5 to both sides )
10y = 25 ( divide both sides by 10 )
y = 2.5
Answer:
5/2
Step-by-step explanation:
The given equation to us is ,
[tex]\implies 10y -5 = 20 [/tex]
Add 5 both sides ,
[tex]\implies 10y -5 +5 = 20 +5 \\[/tex]
[tex]\implies 10y = 25[/tex]
Divide both sides by 10 ,
[tex]\implies 10y \div 10 = 25\div 10 \\[/tex]
[tex]\implies \boxed{ y = \dfrac{5}{2}}[/tex]
After the increase the price of a rail season ticket from brighton to london was 2828.80 work out the price before this increase
Answer:
2720
Step-by-step explanation:
Given that,
Price of the ticket = 2828.80
To find,
The price before the increase = ?
Procedure:
Let the price before the increase be x
so,
x(100% + 4%) = 2828.80
⇒ 1.04x = 2828.80
⇒ x = 2828.80 ÷ 1.04
∵ x = 2720
Thus, the price before the increase was 2720.
stackrel(harr)(AB) is perpendicular to 'stackrel(harr)(CD)'. How many
90° angles are formed by the intersection?
Answer:
4.
Step-by-step explanation:
A line AB is perpendicular to the line CD.
As shown in the diagram, there are four angles which measures 90°.
What is the solution for this inequality? -10x ≤ 40 A. x ≤ -4 B. x ≤ 4 C. x ≥ -4 D. x ≥ 4
Answer:
C. x ≥ -4
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-10x ≤ 40
Step 2: Solve for x
[Division Property of Equality] Divide -10 on both sides: x ≥ -4Answer:
C. x ≥ -4
Step-by-step explanation:
To solve this inequality isolate the variable. Do this by using the properties of equality, specifically the division property. So, divide both sides by -10. This equals, x ≤ -4. However, whenever an inequality is divided or multiplied by a negative number the sign must be flipped. Therefore, the final answer is x ≥ -4.
The sides of the triangular base of prism are 10 cm 8 cm and 6cm respectively and it is 15 cm long .Find the total suface area of the prism.
Answer:
408 cm²
Step-by-step explanation:
the total SA = (2×½×6×8) + (10+8+6)×15
= 48 + 360
= 408 cm²
The total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².
What is a triangular base?In order to create the triangle base, the three triangular sides slant upward. A pyramid with a triangular base is also known as a tetrahedron since it is made up of four triangles.
The shape of a pyramid's base is often used to describe it. A hexagonal pyramid has a base that is a hexagon, as does a triangular pyramid, for example. Pyramids with triangular bases are called triangular pyramids.
A triangle's area is equal to half the sum of its base and height, according to the formula for triangular bases. Whether it be a scalene triangle, an isosceles triangle, or an equilateral triangle, this formula can be used to determine their properties.
The total surface area of the prism calculations are,
b = 6 cm, h = 8 cm, l = 10 cm, and L = 15 cm
[tex]Total\ Surface\ Area = (2\times \frac{1}{2} \times b \times h) + (l+h+b) \times \\ L=(2\times \frac{1}{2} \times 6 \times 8) + (10+8+6) \times 15\\= 48 + 360\\= 408 cm^2[/tex]
Therefore, total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².
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If f(a) is an exponential function where f(-3) = 18 and f(1) = 59, then find the
value of f(0), to the nearest hundredth.
Given:
For en exponential function f(a):
[tex]f(-3)=18[/tex]
[tex]f(1)=59[/tex]
To find:
The value of f(0).
Solution:
The general form of an exponential function is:
[tex]f(x)=ab^x[/tex] ...(i)
Where, a is the initial value and b is the growth/ decay factor.
We have, [tex]f(-3)=18[/tex]. Substitute [tex]x=-3,f(x)=18[/tex] in (i).
[tex]18=ab^{-3}[/tex] ...(ii)
We have, [tex]f(1)=59[/tex]. Substitute [tex]x=1,f(x)=59[/tex] in (i).
[tex]59=ab^{1}[/tex] ...(iii)
On dividing (iii) by (ii), we get
[tex]\dfrac{59}{18}=\dfrac{ab^{1}}{ab^{-3}}[/tex]
[tex]3.278=b^{1-(-3)}[/tex]
[tex]3.278=b^{4}[/tex]
[tex](3.278)^{\frac{1}{4}}=b[/tex]
[tex]1.346=b[/tex]
Substituting the value of b in (iii).
[tex]59=a(1.346)^1[/tex]
[tex]\dfrac{59}{1.346}=a[/tex]
[tex]43.83358=a[/tex]
[tex]a\approx 43.83[/tex]
The initial value of the function is 43.83. It means, [tex]f(0)=43.83[/tex].
Therefore, the value of f(0) is 43.83.
Please help with this!!! 8 points!!!
Answer:
d
Step-by-step explanation:
40 points if helped question is in the picture
Answer:
15 9 3
Step-by-step explanation:
15 9 3
sorry i guessed on this one
but it does work
when they said 3 in the first sentence i helped me guess
Answer:
first term = 15
second term = 9
Third term = 3
Step-by-step explanation:
Let the first term be 3x
Let the second term be = 3x - 6 [ 6 less than first term]
Let the third term be = 1/5 of 3x
[tex]=\frac{1}{5} \times 3x\\\\=\frac{3}{5}x[/tex]
Difference between first and third term = 12
That is ,
[tex]3x - \frac{3}{5}x = 12\\\\\frac{(3x \times 5) - 3x }{5} = 12\\\\15x - 3x = 12 \times 5\\\\12x = 60\\\\x = \frac{60}{12} = 5\\\\Therefore , \ first \ term = 3x = 3 \times 5 = 15\\\\second \term = 3x - 6 = 3( 5) - 6 = 15 - 6 = 9\\\\Third \ term = \frac{1}{5} \times 3x = \frac{1}{5} \times (3 \times 5) = 3[/tex]
Use a calculator to find the cross products. Compare the cross products and determine if the ratios form a proportion. Write “Y” if the ratios do form a proportion, and write “N” if the ratios do not form a proportion.
1. 3/12 and 10/30
2. 7/16 and 42/66
3. 13/70 and 39/200
4. 16/34 and 80/170
5. 11/12 and 66/72
6. 14/17 and 112/134
7. 2/3 and 120/190
8. 23/99 and 115/495
What could be the possible "one's" digits of the square root of the number 183184? 2 or 8 4 or 6 2 or 6 only 2
Answer:
2 or 8
Step-by-step explanation:
Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.
Given the following number;
183184
Taking the square root, we have;
√183184 = 428
The place value of 4 is hundreds.The place value of 2 is tens.The place value of 8 is ones or units (8 is in ones place).*Therefore, the possible "one's" digits of the square root of the number 183184 is 2 or 8.
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
Hello!
|m² - 7| + n² =
= |-2² - 7| + 5² =
= |-4 - 7| + 5² =
= |-11| + 5² =
= 11 + 5² =
= 11 + 25 =
= 36
Good luck! :)
Answer:
28
Step-by-step explanation:
Write in the form a to the power of k, where a is a prime number and k is rational
[tex]\sqrt[4]{27}[/tex]
The answer is 3 to the 3/4 power.
4a=5b+5 2a=3b+2. solve using the method of elimination
please help !*
Answer:
a = 2.5, b = 1
Step-by-step explanation:
Given the 2 equations
4a = 5b + 5 → (1)
2a = 3b + 2 → (2)
Multiplying (2) by - 2 and adding the result to (1) will eliminate a
- 4a = - 6b - 4 → (3)
Add (1) and (3) term by term to eliminate a
0 = - b + 1 ( add b to both sides )
b = 1
Substitute b = 1 into either of the 2 equations and solve for a
Substituting into (2)
2a = 3(1) + 2 = 3 + 2 = 5 ( divide both sides by 2 )
a = 2.5
Answer:
a = 2.5
b = 1
Step-by-step explanation:
4a = 5b + 5 and 2a = 3b + 2
→ Multiply the second equation by 2
4a = 6b + 4
→ Subtract this new equation from the first one
0 = b - 1
→ Find b by adding 1 on both sides
b = 1
→ Substitute b into one of the equation
4a = ( 5 × 1 ) + 5
→ Simplify
4a = 10
→ Divide both sides by 4
a = 2.5
Find the product.
(-2 x2 ) 3 ·3 x
Answer: -24x^7
Step-by-step explanation:
pemdas so you do parentheses first therefore getting (2x^2)^3x3x
remove the parentheses
do -8x^6x3x
after that you end up with -24x^7
Simplify (-2x^2) ^3 by raising each term by 3:
-2^3x^6
Now you have
-2^3 x^6 times 3x
-2^3 = -8
x^6 tomes x = x ^7
-8 x 3 = -24
Answer is -24x^7
PLEASE HELP! Which point would be included in the solution set of this system of inequalities?
A. (-2,10)
B. (2,10)
C. (0,0)
D. (-2,-10)
Answer:
D
Step-by-step explanation:
-10 < -6 - 1
-10 < - 7 (ok)
-10 < -4 - 3
-10 < -7 (ok)
The answer is D (-2, -10)
Find the surface area of the pyramid
The time spent by Nadia to answer the geography quiz is 30 minutes more than the time spent to answer the history quiz. What is the total time that Nadia took to answer both quizzes?
Answer:
1 hour
Step-by-step explanation:
hope it helps ....
Identify the equivalent expressions of 4(2x + x – 3) – 3x + 3.
Answer:
9x - 9
Step-by-step explanation:
4(2x + x - 3) - 3x + 3
Simplify the expression, combine like terms in the parenthesis,
4(3x - 3) - 3x + 3
Distribute, multiply every term inside the parenthesis by the number outside of it;
(4)(3x) + (4)(-3) - 3x + 3
Simplify,
12x - 12 - 3x + 3
Combine like terms,
12x - 12 - 3x + 3
9x - 12 + 3
9x - 9
Encontrar la magnitud de la velocidad angular de un disco de 0.75 rev/así como la magnitud de su desplazamiento angular Si su movimiento duró 180 segundos
Answer:
La magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.
Step-by-step explanation:
Podemos encontrar la magnitud de la velocidad angular (ω) del disco con la siguiente ecuación:
[tex] \omega = \frac{\theta}{t} [/tex]
En donde:
θ: es el desplazamiento angular = 0.75 rev
t: es el tiempo = 180 s
Primero debemos cambiar las unidades del desplazamiento angular de revoluciones a radianes:
[tex] \theta = 0.75 rev*\frac{2\pi rad}{1 rev} = 4.71 rad [/tex]
Entonces, la velocidad angular es:
[tex] \omega = \frac{4.71 rad}{180 s} = 0.026 rad/s [/tex]
Por lo tanto, la magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.
Espero que te sea de utilidad!
I need help ASAP!
List the fractions and decimals in order least to greatest.
Question1. 2.3 , 2 4/5 , 2.6
Question 2. 0.5 , 3/16 , 0.75 , 5/48
Who ever helped me thank you :D
Answer:
Q1: 2.3, 2.6, 2 4/5
Q2: 5/48, 3/16, 0.5, 0.75
Step-by-step explanation:
that should be correct sorry if im wrong
Answer: The answer is already completed
Step-by-step explanation:
I WILL GIVE BRAINLIEST I NEED HELP NOW!!! I PROMISEThe table shows the relationship “Kevin read 35 pages per hour.”
Hours (h)
Pages (p)
1
35
2
70
3
105
4
140
5
175
Which statements are correct? Check all that apply.
The variable h is the independent variable.
The variable p is the independent variable.
The number of pages read increases as the amount of time decreases.
The number of hours spent reading causes a change in the number of pages read.
The variable p is the dependent variable.
The variable h is the dependent variable.
The more pages that are read, the less time it takes.
Answer:
The correct answers are:
The variable p is the independent variable.
The number of hours spent reading causes a change in the number of pages read.
The variable p is the dependent variable.
Step-by-step explanation: Hope this helps :)))
These two statements are correct and applicable
(1) The number of hours spent reading causes a change in the number of pages read.
(2) The variable p is the dependent variable.
What is a variable?"A Variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables."
What is a dependent variable?"A dependent variable is the variable that changes as a result of the independent variable manipulation."
What is a linear graph?"A Line graph is a graphical display of information that changes continuously over time. A line graph may also be referred to as a line chart. Within a line graph, there are points connecting the data to show a continuous change. A Line graph has two axes(X- axis and Y-axis)"
We have,
Kelvin read 35 pages per hour
According to the question,
Number of hours increasing, number of pages also increasing
∵ The table data shows linear graph
We can clearly say that from a line graph definition,
These two are correct and applicable to Kelvin's situation
(1) The number of hours spent reading causes a change in the number of pages read.
(2) The variable p is the dependent variable.
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The sum of three consecutive odd numbers is 63. What are the numbers?
Answer:
19, 21 and 23
Step-by-step explanation:
→ Make an algebraic expression for the 3 consecutive numbers
2x + 1, 2x + 3 and 2x + 5
→ Add the expressions together and make it equal to 63
2x + 1 + 2x + 3 + 2x + 5 = 63
→ Simplify
6x + 9 = 63
→ Minus 9 from both sides
6x = 54
→ Divide both sides by 6
x = 9
→ Resubstitute x = 9 into the 3 expressions
x = 9 into 2x + 1 is 19
x = 9 into 2x + 3 is 21
x = 9 into 2x + 5 is 23
pLZ HELPPPPPPPPPPPPPPPPPPPPPPPPP.
Answer:
x^4+4x^3+6x^2+7x+2
Which equation in slope-intercept form represents a line that passes through the point (5, -1) and is
parallel to the lin y = 2x - 7?
A) y=-11x-7
B) y= -1/2x-7
C) y= 2x-9
D) y= -9x-7
E) y= 2x-11
Answer:
E) y= 2x-11
Step-by-step explanation:
as we know the equation of line parallel to
y =2x-7 or, 2x-y-7=0 is 2x-y+k=0
as the line passes through the point (5,-1)
substituting the value of x and y in equation 2x-y+k=0
we get,
2×5-(-1)+k=0
or, 10+1+k=0
or, k=-11
hence putting the value of k in ep 2x-y+k=0
we get 2x-y-11=0
or, y=2x-11
Translate the problem into a mathematical sentence, using was your variable
name. Do not use spaces in your answer.
Lisa bought 15 CDs in December. Of those, 3 were jazz, the rest were world
music. How many world music discs did she buy?
HELPPP
Answer:
12
Step-by-step explanation:
Total CD's Lisa bought = 15
Jazz music = 3
World music = x
Find x
Total CD's Lisa bought = Jazz music + World music
15 = 3 + x
Subtract 3 from both sides of the equation
15 - 3 = 3 + x - 3
12 = x
x = 12
Therefore,
World music = x = 12
Compare the rates for different numbers of texts. If Roger's father wants to get a 600-text message plan, what is the difference in price for the Dial It Up and Ring Ring plans?
Answer:
[tex]\$6[/tex]
Step-by-step explanation:
Given
See comment for complete question
Required
The difference in the cost of 600 text messages plan
Representing the given data as; Cost to Number of text messages, we have:
[tex]Dial\ Up = \$5 : 100[/tex]
and
[tex]Ring\ Ring= \$8 : 200[/tex]
Multiply the dial-up by 6 to get the cost of 600
[tex]Dial\ Up = \$5 *6 : 100 * 6[/tex]
[tex]Dial\ Up = \$30 : 600[/tex]
So, the cost of 600 text messages is $30 --- for dial-up
Multiply the Ring Ring by 3 to get the cost of 600
[tex]Ring\ Ring= \$8 *3: 200*3[/tex]
[tex]Ring\ Ring= \$24: 600[/tex]
So, the cost of 600 text messages is $24 --- for Ring Ring
The difference (d) is:
[tex]d = \$30 - \$24[/tex]
[tex]d = \$6[/tex]
HURRY I NEED HELP. ASAP.
What are the coordinates of the quadrilateral STUV when reflected over the X-axis.
S(3,4), T(3,1), U(-2,1, V(-2,4)
Step-by-step explanation:
here is the answer friend
Find the HCF of
[tex] 4x {}^{2} y \: and \: 12xy {}^{3} [/tex]
Answer:
I hope the pic i gave is helpful!!!
Find the values of x and y. Round your answers to the nearest tenth if necessary,
Answer:
[tex]x=12,\\y=12\sqrt{3}[/tex]
Step-by-step explanation:
In any 30-60-90 triangle, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.
In the given 30-60-90 triangle, the longest side (hypotenuse) is marked as 24. Since [tex]x[/tex] is opposite to the 30 degree angle,
Therefore, we have:
[tex]x=\frac{24}{2},\\x=\boxed{12}[/tex]
Based on our side length ratio [tex]x:x\sqrt{3}:2x[/tex], [tex]y[/tex] is then:
[tex]y=x\sqrt{3}\text{ for}\implies x=12,\\y=\boxed{12\sqrt{3}}[/tex]
Answer:
[tex]\huge\boxed{x=12;\ y=12\sqrt3\approx20.8}[/tex]
Step-by-step explanation:
Look at the picture.
We have:
[tex]2a=24\\a=x\\a\sqrt3=y[/tex]
Therefore:
[tex]x=24:2=12\\\\y=12\sqrt3\approx12\cdot1.73=20.76\approx20.8[/tex]
