Answer:
8,996,734,079 numbers
Step-by-step explanation:
First let's find the number of ten-digit numbers.
The maximum ten-digit number is 9,999,999,999 and the minimum is 1,000,000,000. So the number of ten-digit numbers is:
[tex]N(total) = 9999999999 - 1000000000 = 8,999,999,999[/tex]
Now, to find the number of ten-digit numbers with at least two equal digits, we can find the number of ten-digit numbers with all digits different, and then subtract this amount from the total ten-digit numbers.
To find the number of ten-digit numbers with all digits different, we can use the following logic:
The first digit can have 9 different values (0 not included), the second can also have 9 (one digit used), then the third can have 8 (two digits used), the fourth can have 7, and so on. So we have that:
[tex]N(different) = 9*9! = 3,265,920[/tex]
Then the number of ten-digit numbers with at least two equal digits is:
[tex]N(two\ equal) = N(total)-N(different) = 8999999999 - 3265920[/tex]
[tex]N(two\ equal) = 8,996,734,079[/tex]
Which expression is equal to the expression below?
(7•2)7
Answer:
C. 7⁷ × 2⁷
Step-by-step explanation:
The exponent is outside of the brackets, so we distribute the exponent to all the terms inside the brackets.
(7 × 2)⁷
7⁷ × 2⁷
Answer:
c. [tex]7^7[/tex]· [tex]2^7[/tex]
Step-by-step explanation:
please mark me brainliest!
Here are 4 fractions labelled A,B,C,D. A is 3/4 B is 5/6 C=16/25 D=9/15 Using the label A,B,C,D, Write the fractions in order of size starting with the smallest fraction
Answer:
Starting with the smallest, we will have; D , C, A, B
Step-by-step explanation:
Given;
A = 3/4
B = 5/6
C = 16/25
D = 9/15
Convert the fractions to decimal, to determine their sizes;
A = 3/4 = 0.75
B = 5/6 = 0.833
C = 16/25 = 0.64
D = 9/15 = 0.6
From the decimal form of the fractions, it be observed that,
B > A > C > D
Starting with the smallest, we will have; D , C, A, B
Determine if the equation defines y as a function of x: y2 = x2. yes or no
Answer:
no it's not, since y has two functions , a positive and negative in terms of x.
what are the roots of the polynomial equation x⁴+x³=4x²+4x? use the graphing calculator and a system of equations.
-2,-1,0,2
-2,0,1,2
-1,0
0,1
Answer: A
Step-by-step explanation:
Sphere A has a diameter of 2 and is dilated by a scale factor of 3 to create sphere B. What is the ratio of the volume of sphere A to sphere B?
A 2:6
B 4:36
C 1:3
D 1:27
Answer:
1:27
Step-by-step explanation:
I will use solve in terms of pi
Know that Original volume * scale factor cubed = new volume.
The scale factor is 3 and 3^3 is 27,
Therefore the ratio is 1:27
Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. The correct option is D.
What are Scaled figures?Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:
[tex]L = k \times M[/tex]
where 'k' will be called a scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k²
to get each other corresponding quantities from their similar figures' quantities.
So the area of the first figure = k² × the area of the second figure
Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or
The volume of the first figure = k³ × volume of the second figure.
It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
Given that the diameter of sphere A is 2 units, it is dilated by a scale factor of 3 to create sphere B. Therefore, the diameter of sphere B is,
Diameter of sphere B = 3 × Diameter of sphere A
= 3 × 2 units
= 6 units
Now, the ratio of diameters of the sphere and the volume of the sphere can be written as,
[tex](\dfrac{\text{Diameter of sphere A}}{\text{Diameter of sphere B}})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} \\\\\\(\dfrac{2}{6})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}}\\\\\\\dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} = \dfrac{1}{27}[/tex]
Hence, the correct option is D.
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What is the measure of circumscribed ∠X? 45° 50° 90° 95° please answer asap
Answer:
90°
Step-by-step explanation:
Data provided in the question
Angle V = right angle = 90°
YX and WX = tangents,
And YV and WV = radii
So, we can say that
Angle Y = 90°
And,
Angle W = 90°
Now as we know that sum of four interior angles is 360°
So,
the equation is
V + Y + W + X = 360°
90° + 90° + 90° + X = 360°
270° + X = 360
Therefore,
X = 360° - 270°
= 90°
Answer:
c. 90
Step-by-step explanation:
PLZ HELP QUICK!!! A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check.
Answer:
It is 8 children and 32 adults
Step-by-step explanation:
8+32=40
11*8=88
20*32=640
640+88=728
Have a good day and stay safe!
If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area
Answer:
[tex]\huge\boxed{SA=2466\ (mm^2)}[/tex]
Step-by-step explanation:
The formula of a Surface Area of a rectangular prisms:
[tex]SA=2(lw+lh+wh)[/tex]
l - length
w - width
h - height
We have:
[tex]l=39mm;\ w=12mm;\ h=15mm[/tex]
Substitute:
[tex]SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)[/tex]
3. A un hombre le pagan doble el tiempo que trabaja por encima de las 40 horas. La
pasada semana, él trabajó 47 horas y recibió un cheque de $648.00. ¿Cuál es su
salario regular por hora?
Answer: Su salario regular por hora es $12
Step-by-step explanation:
Hola, para resolver este problema debemos plantear una ecuación:
A el hombre le pagan doble el tiempo que trabaja por encima de las 40 horas, el trabajo 47, o lo que es equivalente = 40+7.
Las primeras 40 horas recibió su salario regular por hora (x) y las otras 7 recibió el doble (2x). LA suma de esos productos da un total de $648.
Matemáticamente hablando:
40 x+ 7 (2x) = 648
Resolviendo para x (salario regular por hora)
40x +14x =648
54x =648
x = 648/54
x = 12
An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to the time in hours, x, since the storm started. A graph of the equation is created. Which quadrants of a coordinate grid should be used to display this data? please help.
Answer:
the first and fourth quadrants
Step-by-step explanation:
We have that the time found hours is given on the x-axis and that the temperature is represented on the y-axis.
Let's first analyze time:
Time cannot be negative, therefore, the x coordinate cannot be negative therefore, for the x axis, we can use the first and fourth quadrants
Second let's analyze the temperature:
The temperature can be negative, therefore, the coordinate and can be positive or negative therefore, that for the y axis, we can use all four quadrants.
If we combine the two previous conditions, we can deduce that we can only use the first and fourth quadrants to represent the required data.
What is the product?
Answer:
B
Step-by-step explanation:
3•(-6)=-18
3•(-11)=-33
3•(-14)=-42
3•(-9)=-27
Answer:
B. [ -18 -33]
[ -42 -27]
you have to distribute the x3 to all four numbers in the matrix
an arc of length 8in. is intersected by a central angle in a circle with a radius of 3 in. what is the measure of the angle? round your answer to the nearest tenth
A) 0.4 radian
B) 1.0 radian
C) 2.7 radians
D) 5.0 radians
Answer:
C.
Step-by-step explanation:
2.7 radians
Answer:c
Step-by-step explanation:2.7 radians
3х
Which expression is equivalent to X+ 1 divided by x + 1?
3х 1
X+1 x+1
1
3х
х+ 1 x+1
3х
х+1
1
Х+ 1
х+1 x+1
3х 1
Answer:
first option
Step-by-step explanation:
Given
[tex]\frac{3x}{x+1}[/tex] ÷ x + 1 = [tex]\frac{3x}{x+1}[/tex] ÷ [tex]\frac{x+1}{1}[/tex]
To perform the division
Leave the first fraction, change division to multiplication and turn the second fraction upside down, that is
= [tex]\frac{3x}{x+1}[/tex] × [tex]\frac{1}{x+1}[/tex]
Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression 3x/x+1 divided by x+1.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 3x/x+1 divided by x+1.
We need to find the equivalent expression of it.
3x/x+1 divided by x+1 can be mathematically written as below
(3x/x+1)/x+1
(3x/x+1) is the numerator and x+1 is in denominator
(3x/x+1)/(x+1/1)
When a fraction is divided by another fraction the denominator is multiplied to numerator as a reciprocal.
(3x/x+1).(1/x+1)
Hence, Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression 3x/x+1 divided by x+1.
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WILL MARK BRAINLIEST!! PLZ HELP!!! 20 POINTS Create a graph of the polynomial function g(x) = (x + 2)(x − 1)(x − 2)
Answer:
We have: g(x)=(x+2)(x-1)(x-2)
multiply the 3 terms:
(x+2)(x-1)(x-2)(x²-4)(x-1) x^3 -x²-4x+4This is a polynimial function with 2 vertices
The roots are approximatively:
0.8 and -1.5
their images are:
1.9 and 8.8
plot these two vertices and draw some other points
here is a drawing:
Simplify: -(-x + 1) -x − 1 x − 1 -x + 1 x + 1
Answer:
x -1
Step-by-step explanation:
-(-x + 1)
Distribute the minus sign
- 1 * -x + -1 (-x)
x -1
Steps to solve:
-(-x + 1)
~Distribute the negative sign
(- * -x) + (- * 1)
~Simplify
x - 1
Best of Luck!
Which equations represent the line that is parallel to 2x-7y=9 and passes through the point
(5-3) ? Select two options.
Answer:
e. 2x - 7y = 31.
Step-by-step explanation:
If you want a line parallel to the equation, the line must have the same slope.
2x - 7y = 9
-7y = -2x + 9
y = 2/7x - 9/7
You are looking for a line where the slope is 2/7.
a. Slope is 7/2.
b. Slope is -7/2.
c. Slope is 7/2.
d. Slope is...
y + 2 = 3/4x + 3
y = 3/4x + 1
Slope is 3/4.
e. Slope is -2/-7, which is 2/7. Just make sure to check whether it passes through (5, -3) by substituting those points into the equation.
2 * 5 - 7 * -3 = 31
10 --21 = 31
10 + 21 = 31
And there's your answer: e.
Hope this helps!
which equation represents a line that is parallel to the y axis, is perpendicular to the x-axts, and has an undefined slope?
o v = 2 + + 3
Answer:
x=7/2
Step-by-step explanation:
Answer:
X=7/2
Step-by-step explanation:
TWO MINUTES HURRY HELP ME PLEASE
Answer:
x=-1
Step-by-step explanation:
Answer: x. = -1
Step-by-step explanation:
I need help with this please help me
Answer:
The graph is shown below.
Step-by-step explanation:
The given piecewise function is
[tex]f(x)=\begin{cases}-x & \text{ if } x<0 \\ x^2 & \text{ if } x\geq 0 \end{cases}[/tex]
From the given piecewise function, it is clear that
[tex]f(x)=-x[/tex] for x<0.
Put different values of x in f(x) where x<0 and find the values of f(x) to make a table of values as shown below.
Table of values:
x f(x)
-3 3
-2 2
-1 1
Now, plot the points (-4,4),(-3,3),(-2,2),(-1,1) and join them by straight line. There is an open circle at x=0 because 0 is not included in this function.
From the given piecewise function, it is clear that
[tex]f(x)=x^2[/tex] for [tex]x\geq 0[/tex].
Table of values:
x f(x)
0 0
1 1
2 4
Plot the points (0,0), (1,1), (2,4) and join them by a curve. There is closed circle at 0 because 0 is included in this function.
The graph is shown below.
What is the value of x?
Answer:
The answer is option C.
Step-by-step explanation:
Angles in a triangle add up to 180°
To find x add up all the angles in the triangle and subtract it from 180°
Thus
x + 95 + 57 = 180
x = 180 - 152
x = 28°
Hope this helps
The ratio of students who own a.car to those who own a dog is 4.3. If 36 students own dogs, how many students own cats?
A. 48
B. 36
C. 27
D. 18
Answer:
A. 48
Step-by-step explanation:
cat/dog= 4/3
4/3=x/36
x= 36*4/3= 48
Option A. 48
On a school trip, the ratio of teachers to students is 2:21? how many teachers are there?
Answer:
Number of teacher = 4
Step-by-step explanation:
Assume:
Total number of person = 46
Given:
Ratio teachers to students = 2:21
Find:
Number of teacher
Computation:
Number of teacher = Total number of person[2/(2+21)]
Number of teacher =46[2/(23)]
Number of teacher = 2[2]
Number of teacher = 4
PLZ HELP ME PLZZZ I NEED HELP
Answer:
y = 40.5 cm
Step-by-step explanation:
The total area of the shape is 792 cm²
let's find the area of the four parallelograms
To do that we should calculate the area of the rhombus inside and then substract it from the total area
The area of a rhombus is given by the formula:
A = [tex]\frac{d*d'}{2}[/tex] where d and d' are the diametersLet A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms
A"= A - A' A" = A -[tex]\frac{d*d'}{2}[/tex] A" = 792- [tex]\frac{18*7}{2}[/tex] A" = 729 cm²Let a be the area of the single parallelogram
a = A"/4 since the parallelograms are congruent a = 729/4 a = 182.25 cm²the area of a parallelogram is fiven by the formula :
A = b*h b is the base (here y/2) and h the height (here 18/9)let's find y
a = [tex]\frac{y}{2}[/tex] * 9182.25*2 = y*9 364.5 = y*9 y = 364.5/9 y = 40.5Find the volume of each sphere to the nearest hundredth?
Answer:
Can i have a diagram please
Step-by-step explanation:
Peter deposited $5000 in a bank paying 5% interest compounded yearly. Find the balance in his account after 3 years.
Answer:
5750
Step-by-step explanation:
[tex]\frac{5}{100}[/tex]×5000=250
250×3=750
5000+750=5750
What is the equation of the translated function, g(x), if
f(x)=x²?
O g(x) = (x-4)2 + 6
O g(x) = (x + 6)2 - 4
O g(x) = (x - 6)2 - 4
O g(x) = (x + 4)2 + 6
Answer:
the answer is (x+6)2-4
The correct equation of the translated function, g(x) is,
⇒ g(x) = (x + 4)² 6
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
here, we have,
Given that:
The function is,
,⇒ f (x) = x²
Here, f(x) has vertex point is (0,0)
and g(x) vertex point is (-4,6)
Hence, The general form of equation with vertex is
⇒ y = a (x - h)² + k
where (h, k) are the vertex.
So, the equation of g(x) form is
⇒ g(x) = (x + 4)² + 6
Therefore, Option D is correct.
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Simplify the expression.
Write your answer without negative exponents.
Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]
Step-by-step explanation:
Any negative exponent can be moved to the other side of the fraction as a positive exponent.
Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4. Then, use the exponent rule to get 5a^2/-10a^4b^9
Hope it helps <3
Aaron borrows 150.00 from Austin.he promised to pay back the money in 4 monthly installments.each month he wants to pay half the amount he paid the previous month.how much should Aaron pay the 1st month
Answer:
he would want to pay 80
Step-by-step explanation:
if you think about it he wants to pay half of the amount he paid for last month so its basically a trial and error/ guess and check question so i started with 15 and went 15+30 because half of 30 is 15 so you would multiply by 2 so 15+30= 45+60, 60 being half of 30 45+60= 105+120, again half is 60 105+120= 225 once i found out 15 was not correct i then tried the number 10. 10+20= 30+40=70+80= 150
i hope this helps you
$80
$80+$40+20+$10=$150
For every 10 minutes that Tia plays on the computer, she plays outside
for 19 minutes. What is the ratio of minutes Tia plays on the computer
to minutes she plays outside?
Answer: 10:19
Step-by-step explanation:
Time she plays on computer = 10 minutes
Time she plays outside = 19
Ratio will be 10:19
in an abc triangle, the hypotenuse is 10 and the other sides are x, the measurement of angle B is 90 deg, what is the value of x
Answer:
x = [tex]5\sqrt{2}[/tex].
Step-by-step explanation:
The question says that the hypotenuse is 10, while the other two sides are both x. That means that the triangle is a 45-45-90 angle.
Because this is a 45-45-90 triangle, the proportions of the side lengths are 1-1-sqrt(2).
Since the hypotenuse is 10, and the side length is x, we can make a proportion.
[tex]\frac{10}{\sqrt{2}} =\frac{x}{1}[/tex]
[tex]x\sqrt{2}[/tex] = 10
x = [tex]\frac{10}{\sqrt{2} }[/tex]
x = [tex]\frac{10 * (\sqrt{2} )}{(\sqrt{2})(\sqrt{2} ) }[/tex]
x = [tex]\frac{10\sqrt{2} }{2}[/tex]
x = [tex]5\sqrt{2}[/tex]
Hope this helps!