The number that is 10 times less than 0.43 is 0.043, found by dividing 0.43 by 10.
To find the number that 0.43 is 10 times as much as, we need to divide 0.43 by 10. This is the same as multiplying by 10 raised to the power of -1, which is a division by 10.The operation looks like this:
0.43*10^{-1} = 0.043.
Therefore, 0.43 is 10 times as much as 0.043
Of five letters (a, b, c, d, and e), two letters are to be selected at random. how many possible selections are there
If a car is $27,000 and loses 15% of its value each year what will be the value in 5 years
K is the midpoint of line segment lm. the coordinates of k are (5, 12) and the coordinates of l are (2, 6), find the coordinates of m.
(05.05)On the coordinate plane below, what is the length of AB?
A coordinate plane is shown with the following points A at negative 9, 4; B at 5, 4; C at 5, negative 5; D at negative 9, negative 5. All points are connected to create a rectangle.
8 units
9 units
14 units
15 units
Answer:
14 units
Step-by-step explanation:
both points have the same y-coordinate, so therefore, the line is horizontal from x = -9 and x = 5 9 (plus I did the 5.05 math quiz segment two 6th grade)
The distance between points (3, 7) and (x1, y1) is the square root of (x1 - 3)2 + (y1 - 7)2. True or false?
Answer:
True
Step-by-step explanation:
By the distance formula,
The distance between two points [tex](a_1, b_1)[/tex] and [tex](a_2, b_2)[/tex] is,
[tex]d=\sqrt{(a_2-a_1)^2+(b_2-b_1)^2}[/tex]
Here, [tex]a_1=3[/tex], [tex]b_1=7[/tex], [tex]a_2=x_1[/tex] and [tex]b_2=y_1[/tex]
Thus, the distance would be,
[tex]d=\sqrt{(x_1-3)^2+(y_1-7)^2}[/tex]
= the square root of [tex](x_1 - 3)^2 + (y_1 - 7)^2[/tex]
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. −6y2 − 9y = −1
________ probability is used when we know the number of possible outcomes of the event of interest and the total number of possible outcomes in the sample space.
given that (6,-8) is on graph f(x), find the corresponding point for the function f(-1/2x)
Write the sum using summation notation, assuming the suggested pattern continues.
2 - 12 + 72 - 432 + ...
Answer:
[tex]\displaystyle \sum_{k=1}^{n}2(-6)^{k-1}[/tex]
Step-by-step explanation:
we have to write the sum using summation notation of the following series:
2-12+72-432+...
which could also be written as:
2+(-12)+72+(-432)+...
We observe that first term=2
second term=2×-6
Third term=2×-6×-6
Fourth term=2×-6×-6×-6
nth term=[tex]2\times (-6)^{n-1}[/tex]
Hence, the series sum= [tex]\displaystyle \sum_{k=1}^{n}2(-6)^{k-1}[/tex]
A junior basketball has a diameter of approximately 7 in., and a regulation basketball has a diameter of approximately 9.5 in. about how many times as great is the volume of the regulation basketball as the volume of the junior basketball?
WHICH ONE IS IT?////
Which expression can be written as x + 4 = x^2? Assume x > 0
How can an expression or process be determined for an arithmetic sequence?
50 POINTS!!!!!!!!!
Find a number that is between 7/11 and 0.75, theres a line on top of 75
77/99
23/33
25/44
76/99
To convert 0.9 to a fraction, Lauren wrote n=0.9 as her first step. For her second step, what should she multiply both sides of that equation by?
10
100
1000
10000
Which number is between 1/7 and 0.2 ?
9/35
6/35
2/9
1/9
Which fraction shows 5.2 as the quotient of two integers?
11/2
21/5
26/5
51/10
You invest $500 in an account with an annual interest rate of 1.1%, compounded continuously. How much money is in the account after 15 years? Round your answer to the nearest whole number.
How do you solve equations for indicated variables?
ax+r=7
Solving for x?
The solution is x = (7 - r) / a.
To solve the equation ax + r = 7 for x, follow these steps:
Subtract r from both sides of the equation:
ax + r - r = 7 - r
This simplifies to:
ax = 7 - r
Divide both sides by a:
x = (7 - r) / a
Substitute the value of x back into the original equation to ensure it is correct.
Write the equation in vertex form
f (x)= x^2-10x+16
Assume the birth of a boy or a girl is equally likely. The probability that a single child is born a girl is 1/2. What is the probability that the next child born to the same familiy will also be a girl?
probability is 1/4 (b)
Step-by-step explanation:
Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y. Which two figures have the same volume?
Choices:
Prism M
Cylinder p
Cone Z
And
Pyramid N
Prism Q
Cylinder Y
Determine the slope and y-intercept of the line.
y = 5x + 4
a.
Slope = 4, y-intercept is (0, 5)
c.
Slope = 5, y-intercept is (0, 4)
b.
Slope = -5, y-intercept is (0, 4)
d.
Slope = 4, y-intercept is (0, -5)
Please select the best answer from the choices provided
A
B
C
D
A spherical scoop of ice cream is placed on top of a hollow ice cream cone. the scoop and cone have the same radius. the ice cream melts completely and it fills the cone to the top. how many times greater is the height of the cone than the radius of the cone?
Suppose the vertex of a parabola is in the first quadrant and the parabola opens upwards. What can be determined about the value of a and the discriminant?
Final answer:
A parabola in the first quadrant opening upwards implies a positive 'a' value and a discriminant that, if not negative, yields real roots with positive values.
Explanation:
When a parabola has its vertex in the first quadrant and it opens upwards, we can determine specific values for a and the discriminant. The coefficient 'a' in the quadratic equation ax²+bx+c = 0 must be positive for the parabola to open upwards. Concerning the discriminant (calculated as b²-4ac), if the vertex is in the first quadrant, the parabola either does not intersect the x-axis at all (discriminant < 0), or it intersects the x-axis at one point (discriminant = 0) or two points (discriminant > 0) that both have positive x values.
The discriminant plays a key role in determining the nature of the roots of the quadratic equation. For quadratic equations constructed on physical data, they usually have real roots. Practical applications often deem the positive roots significant.
Find the coordinates of point Q that lies along the directed line segment from R(-2, 4) to S(18, -6) and partitions the segment in the ratio of 3:7.
Please help!!
Use the pythagorean theorem to find the distance between x(7,11) and y(-1,5)..
Use the graph below for this question:
graph of parabola going through negative 3, negative 3 and negative 4, negative 1.
What is the average rate of change from x = −3 to x = −4?
3
4
−3
−2
Kite DCFE is inscribed in circle A shown below:
If the measure of arc DEF is 266°, what is the measure of ∠DEF?
Numerical Answers Expected!
Answer:
133 degrees
Step-by-step explanation:
Given is a picture of a kite DCFE inscribed in circle A
The vertices of the kite D, C, E and F lie on the circle.
A is the centre.
Arc DEF = 266 degrees
This means the subtended angle of arc DEF at the centre = Angle DAF = 266
By theorem on circles, we have central angle of any arc is twice the angle subtended by the arc on the remaining part of the circumference
Hence
Angle DEF = 1/2 angle DAF
i.e. DEF =[tex]\frac{266}{2} =133[/tex]
133 degrees
What is the answer to this?
1. A ladybug lands on the end of a pinwheel that is spinning at a steady speed. The equation y = –7 sin (0.4πx) + 11 gives the height of the ladybug y, in centimeters, above the ground x seconds after landing. What is the diameter of the pinwheel
Joe the trainer has two solo workout plans that he offers his clients: Plan A and Plan
b. Each client does either one or the other (not both). On Monday there were 2 clients who did Plan A and 3 who did Plan
b. On Tuesday there were 4 clients who did Plan A and 8 who did Plan
b. Joe trained his Monday clients for a total of 7 hours and his Tuesday clients for a total of 17 hours. How long does each of the workout plans last?
How to factor out the greatest common factor in a polynomial?
Final answer:
To factor out the GCF in a polynomial, identify the highest common factor, write it outside the parentheses, divide each term by the GCF, and write the quotients inside the parentheses.
Explanation:
To factor out the greatest common factor (GCF) in a polynomial, follow these steps:
First, identify the highest common factor that is present in each term of the polynomial.Write down this factor outside of a set of parentheses.Divide each term of the polynomial by the GCF, and place the resulting quotient inside the parentheses. This step can be seen as dividing both sides by the same factor to turn polynomial terms into integers, if that is easier to understand.Check your answer to see if it simplifies further and whether it is reasonable.For example, for the polynomial 6x³ + 9x², the GCF is 3x2. Factoring out the GCF gives us:
3x²(2x + 3)
The products inside the parentheses are the result of dividing the original terms by the GCF. Remember, by finding the GCF, we simplify the algebra and may check the work by expanding the factored form back out to verify it equals the original polynomial.