Answer:
2/3
Step-by-step explanation:
The cube has the following numbers written on its faces;
1, 2, 3, 4, 5, 6
Among these numbers, the multiples of 2 and 3 are;
2, 3, 4, 6 .
The probability of rolling a multiple of 2 or 3 is thus;
4/6 = 2/3
Which is the required probability
What is the approximate circumference of a circle that has a center at (3,1) and passes through the point (3,6)?
Answer:
Approximately 31.42
Step-by-step explanation:
You use the Distance Formula
d= √( x2 - x1 )^2 + ( y2 - y1 )^2
substitute
r= √(3-3)^2 + (6-1)^2
√0^2 + 5^2
r = √25
r = 5
Now you can use the equation for finding the circumference
2πr
2π5
≈ 31.42
The surface area of a sphere is 576pi square units. Which choice represents the volume of the sphere?
Answer:
[tex]\large\boxed{V=2304\pi}[/tex]
Step-by-step explanation:
The formula of a surface area of a sphere:
[tex]S.A.=4\pi R^2[/tex]
R - radius
We have
[tex]S.A.=576\pi[/tex]
Substitute and solve for R:
[tex]4\pi R^2=576\pi[/tex] divide both sides by π
[tex]4R^2=576[/tex] divide both sides by 4
[tex]R^2=144\to R=\sqrt{144}\\\\R=12[/tex]
The formula of a volume of a sphere:
[tex]V+\dfrac{4}{3}\pi R^3[/tex]
Substitute:
[tex]V=\dfrac{4}{3}\pi(12^3)=\dfrac{4}{3}\pi(1728)=(4)\pi(576)=2304\pi[/tex]
Please help!!!!
How many more pieces of mail were handled by the United States postal service in 1995 than in 1965? Express your answer in scientific notation.
Answer:
1.08×10^11
Step-by-step explanation:
1.08 times 10 to the power of 11
The number of pieces of mail in 1995 more than 1965 by = 1.08 * [tex]10^{11}[/tex]
What is exponents and powers?Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times. Exponent is the number to which a number is raised so as to define its power as a whole expression.
In 1995 : 1.8 * [tex]10^{11 }[/tex]
In 1965: 7.2 * [tex]10^{10 }[/tex]
So, the difference will be
= 1.8 * [tex]10^{11 }[/tex] - 7.2 * [tex]10^{10 }[/tex]
= 1.8 * [tex]10^{10}*10[/tex] - 7.2 * [tex]10^{10 }[/tex]
=18 * [tex]10^{10 }[/tex] - 7.2 * [tex]10^{10 }[/tex]
= (18-7.2) * [tex]10^{10 }[/tex]
=10.8 * [tex]10^{10 }[/tex]
= 1.08 * [tex]10^{11}[/tex]
Hence, the number of pieces of mail in 1995 more than 1965 by = 1.08 * [tex]10^{11}[/tex]
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Find the measure of CD. Round to the nearest tenth.
PLEASE HELP!!
The measure of arc CD is 88.8°
In circle geometry , there are certain theorems that guides the solving of problem involving circles.
Some of the theorems are ;
angle at the center is twice angle at the circumference.
The measure of arc is the measure of angle substended at the centre.
Using trigonometric ratio to get the angle at the center.
sinX = 6.35/9.06
sinX = 0.70
X = 44.4°
angle at the centre = 2 × 44.4
= 88.8°
Therefore, arc CD is 88.8°
What is (-6-4)divided by(-5)=
= -2? i dont really know either
Answer: 2
Step-by-step explanation:
-6-4=-10 -10/-5=2
What is opposite sides parallel
Answer:
Opposite sides of parallel are just like diagonal and the other diagonal going the other way.
Step-by-step explanation:
Which expression is equivalent for this
Answer: Option A
Step-by-step explanation:
Remember that
[tex]+ * - = -\\- * + = -\\+ * + = +\\- * - = +\\[/tex]
We have the expression
[tex]\frac{1}{2}x + (-7)-2*\frac{1}{4}-(-2)[/tex]
Solve first the multiplication of signs
[tex]\frac{1}{2}x + (-7)-2\frac{1}{4}x-(-2)\\\\\frac{1}{2}x -7-2\frac{1}{4}x+2\ \ \ \ \ \ \ \ Note:\ 2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}\\\\\frac{1}{2}x -\frac{9}{4}x-7+2\ \ \ \ \ \ \ \ Note:\ \frac{1}{2}-\frac{9}{4}=-\frac{7}{4}=-1\frac{3}{4}\\\\-1\frac{3}{4}x -5[/tex]
If two angles of one triangle are congruent to two angles of another triangle, then the _____ are congruent.
Answer:
TRIANGLES
Step-by-step explanation:
What percent of 700 is 14 ?
Answer:
2%
Step-by-step explanation:
We are to find out what percentage of 700 is 14.
Assuming [tex] x [/tex] to be the percent of 700 which is 14, we can write it as:
[tex] \frac { x } { 100 } \times 700 = 14 [/tex]
[tex] \frac { x } {100} = \frac {14} {700} [/tex]
[tex] \frac { x } { 1 0 0 } = 0.02 [/tex]
[tex]x=0.02 \times 100[/tex]
[tex]x=2[/tex]
Therefore, 14 is 2% of 700.
A bag contains 14 gray, 7 black and 10 white marbles. A marble is drawn at random. What is the theoretical probability, as a decimal, of drawing a black marble? Round the decimal to the nearest hundredth.
14 + 7 + 10 = 31 marbles total
7/31 = 0.23 or 23%
The probability of drawing a black marble from a bag containing 14 gray, 7 black, and 10 white marbles is 7/31, which, as a decimal rounded to the nearest hundredth, is 0.23.
The theoretical probability of drawing a black marble from a bag containing 14 gray, 7 black, and 10 white marbles can be calculated by dividing the number of black marbles by the total number of marbles in the bag.
To find the total number of marbles, we add up the counts for each color: 14 gray + 7 black + 10 white = 31 marbles in total.
Next, we calculate the probability by taking the number of black marbles and dividing it by the total number of marbles: Probability = (Number of black marbles) / (Total number of marbles) = 7 / 31.
Converting that probability into a decimal gives us approximately 0.2258. However, rounding this to the nearest hundredth, as asked in the question, gives us 0.23. So, the probability of drawing a black marble is 0.23.
a home owner has 5 zucchini plants in her garden. Over the course of the season, the yields( number of zucchini’s per plant) are:
Answer:
5 zucchini plants
Step-by-step explanation:
Answer: the answer will be 5(x)=x
help!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
64π
Step-by-step explanation:
8²·π = 64π
ANSWER
201.06 square units.
EXPLANATION
The area of a circle is calculated using the formula,
[tex]Area = \pi \: {r}^{2} [/tex]
The given circle has radius, r=8 units.
We substitute the radius into the formula to obtain:
[tex]Area = \pi \times {8}^{2} [/tex]
The exact area is 64π square units.
When we substitute π=3.14, we get,
Area=201.06 units square.
Find the missing value for the exponential function represented by the table below x -2 -1 0 1 2 y 29 20.3 14.21 6.9629
To find the missing value, divide two consecutive y-values to determine the constant factor. Multiply the last given value by the factor to obtain the missing value.
Explanation:To find the missing value for the exponential function represented by the given table, we need to observe the pattern of the function.
The given pattern is:
x -2 -1 0 1 2
y 29 20.3 14.21 6.9629
In this case, we can see that each value of y is obtained by multiplying the previous value by a constant factor.
To determine this factor, we can divide any two consecutive y-values.
For example, dividing 14.21 by 20.3 gives us approximately 0.6988.
So, the missing value can be found by multiplying the last given y-value (6.9629) by this factor.
Hence, the missing value is approximately 4.8616.
Please just help me
Answer:
We can see here that the two sides of both triangle are equal to each other, therefore both triangles are isosceles triangles.
And also the two chords are parallel to each other, which let us know that:
b° = 40°
We also proved that that triangle is an isosceles triangle so:
b° = c° = 40°
Which makes it possible to calculate d°:
b° + c° + d° = 180°
40° + 40° + d° = 180°
d° = 180° - 40° - 40°
d° = 100°
Not sure if my thinking process make sense, but I'm quite sure about the answers.
Which equation can be used to represent the statement?
Sixteen is the same as one and two-tenths times a number added to negative 8.
Answer:
of the number is X, 16 = 1 + (2/10)×X - 8
Answer:
16 = [tex]\frac{6x}{5}[/tex] - 8
Step-by-step explanation:
Topic: One Unkown equation, mixed numbers
first we have to establish our variables, we only have one so we call
x = "a number"
and we start building our one unknown equation part by part by reading
"Sixteen is the same" means in math that "x ="
"one and two tenths" 1 [tex]^{2/10}[/tex]
this means we have (remember how to sum fractions?)
1 + 2 / 10 = 10/10 + 2/10 = 12/10 = 6/5
so " one and two tenths times a number added to negative 8" become [tex]\frac{6x}{5}[/tex] + (-8)
so we have our equation
16 = [tex]\frac{6x}{5}[/tex] + (-8) or 16 = [tex]\frac{6x}{5}[/tex] - 8
F(x)=square root of x^2+24x+144. g(x) = square root of x^3 -216
The square root of f(x) is ±(x + 12) and the square root of g(x) is not defined.
What is function?In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable).
f(x) = x^2 + 24x + 144
f(x) = x^2 + 2(12)x + 12^2
f(x) = (x + 12)^2
Square root of f(x) is ±(x + 12)
g(x) = x^3 - 216
g(x) = (x - 6)(x^2 + 6x + 36)
Here, (x^2 + 6x + 36) does not have real roots hence it is not possible to find the square root of g(x).
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What is the mean, median, mode, and range of the numbers 8,15,3,6,13,9
Hello There!
To find the mean, add up all the numbers and divide according to how many numbers there are. The mean for this set would be "9"
To find the median, place the numbers in value order and find the middle. if there is no middle, add up the two numbers in middle and divide by 2. In this set, the median would be "8.5"
To find the mode or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. In this set, there would be no mode.
The range of a set of data is the difference between the highest and lowest values in the set. In this set, the range would be "12"
heres your answer in a picture
What is the value of X?
Answer:
I think B. 10 2/3
Step-by-step explanation:
I haven't learned this yet but out of experience i think this is how you solve it. Find out the ratio of 18 to 8 by dividing 18/8 to get 2.25. then multiply this by 24 to get 10.66 repeated which equals to 10 and 2/3.
CAN ANYONE HELP ME ANSWER THIS PLEASE
Answer:
3/10 * 3/10 = 9/100
Step-by-step explanation:
First chance to draw pink is 3 out of 10. replace the marble then I have another 3 out of 10 chance.
6x-3 <-9 can someone help me asap
Answer:
x<-1
Step-by-step explanation:
6x-3 <-9
Add 3 to each side
6x-3+3 <-9+3
6x < -6
Divide by 6
6x/6 < -6/6
x < -1
Answer:
x<-1
Step-by-step explanation:
6x-3<-9
Add 3
6x<-6
-6/6=-1
x<-1
What is the solution to the equation?
x – 19 = 1
Answer:
x=20
Step-by-step explanation:
you first got to get x by itself so + 19 on each side of the equal signs which gets rid of the -19 on the left side of the equal and it adds 19 on the right side of the equal making the answer x=20
The solution of the equation with a single variable 'n' x – 19 = 1 will be 20.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
x – 19 = 1
The degree of the equation is one. Then the equation is a linear equation. Simplify the equation, then we have
x – 19 = 1
x = 1 + 19
x = 20
The solution of the equation with a single variable 'n' x – 19 = 1 will be 20.
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anwser asap 50 points
What are the dimensions of the matrix?
[1 0 7 -5 9 ]
[-2 3 10 8 5]
Enter your answers in the boxes.
The matrix is a
×
matrix.
Answer:
[1, 5]
Step-by-step explanation:
Here I see ONE row and FIVE columns, so the dimensions are [1, 5].
Answer: 2,5
Step-by-step explanation:
1. A transformation is an operation that ________, or moves, a preimage (original) onto an image.
A. traces
B. maps
C. copies
D. images
2. Which term describes the number of times a wave is translated in one second?
A. period
B. amplitude
C. sine
D. frequency
3. A shoe box has a volume of 64 cubic inches and a surface area of 160 square inches. What is the surface area of a similar shoe box if its volume is only 27 cubic inches? Show your work or explain how you got your answer.
Have you found out the answer
1. A transformation is an operation that traces or moves, a preimage (original) onto an image.
2.The term describes the number of times a wave is translated in one second is frequency.
What is transformation and frequency?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Frequency is defines as the number of times a wave is translated in one second.
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which equations are equivalent to 3/4+m=-7/4 check all that apply m=10/4 m=-10/4 m=-5/2 11/4+m=-1/4 -5/4+m=-15/4 m+2=-0.5 Help fast!!!!!!!!
Answer:
The correct choices are; B,C,E, and F.
Step-by-step explanation:
The given equation is;
[tex]\frac{3}{4}+m=-\frac{7}{4}[/tex]
We solve for m to obtain:
[tex]m=-\frac{7}{4}-\frac{3}{4}=-2.5[/tex]
We also solve the remaining equations to see which ones give the same result.
A: [tex]m=\frac{10}{4} =2.5[/tex]
B:[tex]m=-\frac{10}{4} =-2.5[/tex]
C:[tex]m=-\frac{5}{2} =-2.5[/tex]
D: [tex]\frac{11}{4}+m=-\frac{1}{4}[/tex]
[tex]m=-\frac{1}{4}-\frac{11}{4}=-3[/tex]
E: [tex]-\frac{5}{4}+m=-\frac{15}{4}[/tex]
[tex]m=-\frac{15}{4}+\frac{5}{4}=-2.5[/tex]
F: [tex]m+2=-0.5[/tex]
[tex]m=-0.5-2=-2.5[/tex]
The equivalent equations are; B,C,E, and F.
Answer:
[tex]m=-\frac{10}{4}[/tex]
[tex]m=-\frac{5}{2}[/tex]
[tex]-\frac{5}{4}+m=-\frac{15}{4}[/tex]
[tex]m+2=-0.5[/tex]
Step-by-step explanation:
Given equation,
[tex]\frac{3}{4}+m=-\frac{7}{4}[/tex]
[tex]\implies m = -\frac{7}{4}-\frac{3}{4}=\frac{-7-3}{4}=-\frac{10}{4}=-\frac{5}{2}[/tex],
Since, [tex]\frac{10}{4}\neq -\frac{5}{2}[/tex]
[tex]\frac{11}{4}+m = -\frac{1}{4}[/tex]
[tex]\implies m = -\frac{1}{4}-\frac{11}{4}=\frac{-1-11}{4}=-\frac{12}{4}=-3\neq -\frac{5}{2}[/tex]
[tex]-\frac{5}{4}+m=-\frac{15}{4}\implies m = -\frac{15}{4}+\frac{5}{4}=\frac{-15+5}{4}=-\frac{10}{4}[/tex]
[tex]m+2=-0.5\implies m = -0.5-2\implies m = -2.5=-\frac{5}{2}[/tex]
What is the measure of each interior angle of a regular polygon with 5 sides?
ANSWER
108°
EXPLANATION
The measure of each interior angle of a regular polygon is given by
[tex] \theta = \frac{(n - 2) \times 180}{n} [/tex]
where n refers to the number of sides of the polygon.
From the question we have n=5 in this case.
We substitute to obtain;
[tex]\theta = \frac{(5 - 2) \times 180}{5} [/tex]
[tex]\theta = \frac{3\times 36}{1} [/tex]
This simplifies to:
[tex]\theta = 108 \degree[/tex]
Hence each interior angles of a regular polygon with 5 - sides is 108°
4x=-4r+2d for x. Mary
Final answer:
To solve the equation 4x = -4r + 2d for x, isolate x by performing the same mathematical operations on both sides of the equation.
Explanation:
To solve the equation 4x = -4r + 2d for x, we need to isolate x on one side of the equation. We can do this by performing the same mathematical operations on both sides of the equation. Let's start by moving the terms containing r and d to the other side:
4x + 4r - 2d = 0
Next, we can factor out the common factor of 4:
4(x + r - 0.5d) = 0
Finally, we divide both sides of the equation by 4 to solve for x:
x + r - 0.5d = 0
The solution for x is x = -r + 0.5d.
If the dimensions of a rectangular garden can be represented by (2x+11) and (3x+5), then what is the area of the garden?
Answer: 6x^2+43x+55
Area=L*W
Area=(2x+11)(3x+5)=x^2+33x+10x+55
Area=6x^2+43x+55
Answer:
the area of the garden would be 6x^+43x+55
Is urgent and will mark brainliest.
What is √33?
Place a dot on the number line at the best approximation.
Please and Thank you!!
Answer:
≈ 5.7
Explanation:
Place the dot at the 7th notch after 5
Hope this helps! :)
~ 5.74 place the dot 3 lines before the 6
can someone show me how to do this step by step? it deals with area, and i'm not very good at math in general. thank you!!
The area of a circle when you know the radius is found using the formula Area = PI x r^2
The small circle has a radius of 7 inches.
The area of the small circle is 3.14 x 7^2 = 3.14 x 49 = 153.86 square inches.
Using the circumference of a circle use the formula Area = C^2 / 4*PI
Area of larger circle = 113.097^2 / 4 *3.14 = 12790.93141 / 12.56 = 1018.39 square inches.
Now to find the blue area subtract the area of the smaller circle from the larger one:
1018.39 - 153.86 = 864.53 square inches.
What is the product of d – 9 and 2d2 + 11d – 4?
Answer:
[tex]2d^3-7d^2-103d+36[/tex]
Step-by-step explanation:
The given expressions are (d-9) and [tex]2d^2+11d-4[/tex].
Their product is given by:
[tex](d-9)(2d^2+11d-4)[/tex]
We expand using the distributive property to obtain;
[tex]d(2d^2+11d-4)-9(2d^2+11d-4)[/tex]
[tex]2d^3+11d^2-4d-18d^2-99d+36[/tex]
We group similar terms to get;
[tex]2d^3+11d^2-18d^2-4d-99d+36[/tex]
We combine the similar terms to get:
[tex]2d^3-7d^2-103d+36[/tex]