Write the prime factorization of 315.
315 =
Write the prime factorization of 315.
315 =
Write the prime factorization of 315.
315 =
Write the prime factorization of 315.
315 =
3 exponent 2 × 5 exponent 1 × 7 exponent 1
Question 3
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
There are 20 marbles in a bag: 8 purple, 5 gold, and 7 silver.
Part A: What is the probability that you select a silver marble? Reduce fractions if possible.
O
A) 20
O B)
O
c)
O D) 70
home within our geographic footprint.
Goals: Increase awareness of key homes for sale in our portfolio and generate traffic to the website for more information.
Step-by-step explanation:
the total is 8+5+7=20
the probabliliy that its gonna be 7/20
this fraction cannot be reduced
HELP ASAP ILL GIVE BRAINLIST
Solve for the measure of ∠PMR. Show your work and explain how you got your answer.
Answer:
61°
Step-by-step explanation:
We have to take the arcs at P to mean angles RPW and MPW are congruent. That means each is 58°/2 = 29°. Angle PMR is the other acute angle in right triangle PMW, so it will be the complement of 29°.
∠PMR = 90° -29° = 61°
HELPPPPPP plsssssssssss
Answer:
270°
Step-by-step explanation:
∠ PQR = 90° ( angle in a semicircle )
PRST is a cyclic quadrilateral
The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°
Then
∠ PRS + ∠ PTS = 180°
∠ PQR + ∠ PRS + ∠ PTS = 90° + 180° = 270°
WILL MARK AS BRAINLIEST
Answer:
18.06
Step-by-step explanation:
7+6=13
34+38=72
13 IS 18.06 PERCENT OUT OF 72.
Answer:
Percentanges are factors so
41 Women + 44 Men = 85 shoppers
7 Women + 6 Men = 13 Online shoppers
13 out of 85 13/85 = 15% of total people surveyed shop online
Step-by-step explanation:
Hope this helps! BH
Keshawn's bank account had a balance of $40.51 last month. This month he won a cash prize of $73.95 for winning a competition. How much money does Keshawn have at the end of the month if there are no other transactions?
Answer:
$114.46
Step-by-step explanation:
40.51+73.95=114.46
PLEASE HELP I WILL GIVE BRAINLIST IF ITS RIGHT
Jessica plants a seed 3 1/2
inches below the ground. The plant grows from there 15 3/4
inches. What is the height of the plant above the ground?
12 1/4 inches
19 3/4 inches
18 2/3 inches
13 1/2 inches
Answer:
49/4 inches
Step-by-step explanation:
Inches below ground= 3 1/2 inches
Plant's full height=15 3/4 inches
Height above ground = 15 3/4 inches -3 1/2 inches
63/4 - 7/2
63-14/4
49/4 inches
Answer:
[tex]12^1/_4[/tex] [tex]inches[/tex]
Step-by-step explanation:
We can make this an equation
[tex]-3 ^1/_{2}+15^3/_4[/tex]
We can make them the same denominator by looking for the GCF which we get as 2
Now we have
[tex]-3 ^2/_{4}+15^3/_4[/tex]
Do the equation and we get
[tex]12 ^1/_4[/tex] [tex]inches[/tex] as our answer
the tens digit was 1. The ones digit was 6. The number was between 600 and 700 what was the number
Answer:
616
Step-by-step explanation: hope it helps :)
Answer:665,830 my answer
Step-by-step explanation:
so. what have you got so far?
How can a digit have no value?
The relationship between the number of gallons of water in a tank and number of hours is proportional. One point on the line modeling the relationship is (2,7200). Find the slope of the line, and draw a graph. Use the graph to find how long it will take to fill the tank if it holds 72,000 gallons.
The slope of the line is __
Answer:
Step-by-step explanation:
I am assuming the tank starts empty. It means that in 1 hour the tank has half that water, or 3600 gallons. And the good thing of lines passing through 0.0 is that the value at 1 IS the slope we need. ie 3600.
At this point it's easy to find that if in 2 hours it filled 1/10th of the tank, in 20 hours the tank will be full.
Graph done with paint, obviously not to scale.
This is what I need the answer for please help much appreciated if done so
Answer:
12a^9b^7
Step-by-step explanation:
Answer
12a^9b^7
Step-by-step explanation:
4x3=12
add the indices
3+6=9
2+5=7
12a^9b^7
The slope of the line that passes through the points (10,8) and (4,12)
Answer:2/3
Step-by-step explanation:
10-4=6
12-8=4
4/6=2/3
find the area of the shape pls help
Answer:
54.28 cm²
Step-by-step explanation:
Area rectangle = 10 x 4 = 40 cm²
Area semicircle = 1/2(π(2²)) = 1/2(π(4)) = 2π ≈ 6.28 cm²
Area triangle = 1/2(4 x (10-14)) = 1/2( 4 x 4) = 2 x 4 = 8 cm²
Total Area = 40 cm² + 6.28 cm² + 8 cm² = 54.28 cm²
-Chetan K
Practice: Find the value of the variable(s) in each figure explain your reasoning.
Answer:
I'm assuming you know how to solve first degree equations, in particular how to move terms from one side to the other.
Top figure. The two angles measuring 3x and 5x-20 are congruent (they are alternate angles related to the two parallels and the transversal closing the triangle.. Now, if 3x = 5x-20 a simple solution is x=10. Now into the triangle, the sum of the internal angles has to be 180, and we already know how much x measures. 2y+4y+30 =180. Solve for y =25
Middle figure. From the bottom right corner, you can already tell that 2y+106= 180, or y=37. But 2y and x are congruent (corresponding angles), so x= 74. Pick the method you prefer to say that either 4z+6=106 (both angles are congruent to the one in the bottom corner since they're corresponding, thus they have to be equal to each other) OR 4z+6+x = 180 (they're conjugate angles to x, so their sum is 180). To get z=25
Bottom row in both cases, the two angles sum up to 90°
Left one: 4x-20+2x-16 = 90 so x = 21
Right one: 2x-30 +x+15= 90 so x = 35
At a craft fair, Emily sold paper flowers for $0.55 each. She sold
48 flowers. How much money did she make?
Answer:
$26.40
Step-by-step explanation:
Answer:
$26.40
Step-by-step explanation:
1 paper flower=$0.55
Therefore,48 paper flowers=?
cross multiplying,we have 0.55×48=$26.40
Please help me asap
DO NOT USE LINKS
what is the answer???????
Answer:
1.12+8.13-3.5=5.75
2.6×300=780
Answer:
1) 5.75
2) 780
Step-by-step explanation:
1.12+8.13=9.25
9.25-3.5=5.75
Multiple 26x300, then move two decimal places to the right
how do you subtract fractions with like numerators
Answer:
Step-by-step explanation:
To SUBTRACT fractions with like or the same denominator, just subtract the numerators then copy the common denominator. Always reduce your final answer to its lowest term.
A is the point (5, 7) and B is the point (9, -1)" Find the equation of the line AB
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, A(5,7) and B(9,-1).
Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (5,7) and going to (9,-1):
Rise = (-1 -7) = -8
Run = (9-5) = 4
Rise/Run (slope) = -8/4 or -2
The equation becomes y = -2x + b
We can find b by entering either of the two given points and solving for b. I'll pick (5,7):
y = -2x + b
7 = (-2)*(5) + b
7 = -10 + b
b = 17
The equation is y = -2x + 17
Check this with a DESMOS graph (attached).
The equation of line AB is y= -2x +17
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Points A(5, 7) and B(9, -1)
So, slope for the equation is
sloe= (-1 - 7)/ (9- 5)
slope = -8/ 4
slope= -2
Now, using slope- intercept form
y - b = m ( x- a)
y - 7= -2( x - 5)
y- 7 = -2x + 10
y= -2x + 17
Hence, the equation of line AB is y= -2x +17
Learn more about slope here:
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#SPJ2
PLEASEEEEE HELP…
In Exploration 3.1.2 you went through a procedure that helped you see how a formula
with n compounds per year relates to the formula for compounding continuously. Select
the appropriate answers to model what you did in the exploration.
Annual growth Rate
A (t) = P(1 + r)
n compounds per year
nt
A () = (1+ a)
a =
[Select]
n
let z = -
7
A (t) = P(1 + [b])"
b = (Select)
let n = ar
Ict
C =
[Select)
A (0) P(1)
110) - P{(x - 2)
+
2
The growth amount is given by the growth rate the duration of the growth
and how the rate is applied to each period.
The correct selections are;
a = n[tex]\displaystyle b = \frac{1}{x}[/tex]c = x·r[tex]\displaystyle \lim_{x \to \infty} \left(1 + \frac{1}{x} \right)^x \to 1[/tex]Reasons:
First part;
The given formula for the annual growth rate is; [tex]A(t) = \mathbf{P \cdot \left(1 + r)^t}[/tex]
[tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{r}{[a]} \right)^{n \cdot t}}[/tex]
Where;
P = The principal
r = The rate per period
n = The number of compounding per period
t = The number of periods
In the above formula, we have that the number of compounding per periods = n
Therefore;
a = nWhich gives the fraction of the interest applied to each period as [tex]\displaystyle \frac{r}{n}[/tex]
Which gives;
[tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]
Second part;
When [tex]x = \displaystyle \frac{n}{r}[/tex], we have; [tex]A(t) = \mathbf{P \cdot \left(1 + [b])^{n \cdot t}}[/tex]
[tex]\displaystyle A(t) = P \cdot \left (1 + \frac{r}{n} \right)^{n \cdot t}[/tex]
Therefore;
[tex]\displaystyle b=\frac{r}{n}[/tex]
[tex]\displaystyle \frac{1}{x} = \frac{1}{\left(\frac{n}{r} \right)} =\frac{r}{n}[/tex]
Which gives;
[tex]\displaystyle b=\frac{r}{n} = \mathbf{\frac{1}{x}}[/tex]
[tex]\displaystyle \underline{ b = \frac{1}{x} }[/tex]
Third part;
Where, n = x·r, and [tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{1}{x} \right)^{[c] \cdot t}}[/tex]
We have;
[tex]\displaystyle x= \frac{n}{r}[/tex]
[tex]\displaystyle \frac{1}{x}=\frac{r}{n}[/tex]
[tex]\displaystyle A(t) = P \cdot \left (1 + \frac{1}{x} \right)^{[c] \cdot t} = \mathbf{P \cdot \left (1 + \frac{r}{n} \right)^{[c] \cdot t}}[/tex]
Which gives;
c = n = x·r
c = x·rFourth part;
If x is a really large number, we have; [tex]\displaystyle \mathbf{\left(1 + \frac{1}{x} \right)^x}[/tex]
Where x approaches ∞, we have;
[tex]\displaystyle \frac{1}{\infty}=0[/tex]
Which gives;
[tex]\displaystyle \displaystyle \left(1 + \frac{1}{x} \right)^x= \left(1 + \frac{1}{\infty} \right)^\infty = \displaystyle \left(1 + 0\right)^\infty = 1 ^\infty = 1[/tex]
[tex]\displaystyle \underline{\lim_{x \to \infty} \left(1 + \frac{1}{x} \right)^x \to 1}[/tex]Learn more about growth rate formula here:
https://brainly.com/question/2284816
0.95929409956639. rational or irrational
Answer:yes
Step-by-step explanation:
*100 POINTS* *100 POINTS*
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answer:
y = - 1/3x - 5Step-by-step explanation:
Use two given points (-6, -3) and (6, -7) to find equation of the line.
The slope:
m = (y₂ - y₁)/(x₂ - x₁) = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = - 1/3The y - intercept is also visible on the graph (0, -5):
b = -5The line is:
y = - 1/3x - 5Answer:
[tex] \huge{ \boxed{y = - \frac{1}{3} x + 1}}[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the graph to find the equation of the line we must first find the slope
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
Using the points (-6 , -3) and (6,-7) we have
[tex]m = \frac{ - 7 - - 3}{6 - - 6} = - \frac{4}{12} = - \frac{1}{3} \\ [/tex]
Next we use the slope that has been found and one of the points to find the equation of the line
To find an equation of a line when given the slope and a point we use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) is the point
From the question using slope -1/3 and point (-6,3) we have
[tex]y - 3 = - \frac{1}{3} (x - - 6) \\ y - 3 = - \frac{1}{3} (x + 6) \\ y - 3 = - \frac{1}{3} x - 2 \: \: \: \\ y = - \frac{1}{3} x - 2 + 3 \: \: [/tex]
The equation of the line in slope-intercept form is
[tex]y = - \frac{1}{3} x + 1 \\ [/tex]
Hope this helps you
Will give brainiest Find the equation of the straight line parallel to the y-axis and passes through the point (-2, 3). _____
Answer:
Step-by-step explanation:
ASAP!! Use the slope formula to find the slope of the line passing through the points ( -66) and ( 3,3) . Use pencil and paper. Find two more points that the line passes through.
The slope of the line is
Answer: y = -66x + 201
Step-by-step explanation:
Help please (((((((((((((((
Answer:
The side ST is 10. If the quadrilateral Q is reflected, and the side is 10, the others should also have 10 as the side for ST.
what is the midpoint of PQ
Answer is (5,7)
Step-by-step explanation:
In the given image, move two points from P to right and move two points left from Q, in such a way that the gap between the two squares of P and Q are equal.
Then from the middle point of the line, mark down to the X-axis where you will get 5. Likewise, from the middle point, mark left to the Y-axis.
Any doubts, please refer the attached image.
So, you will get the answer as (5,7) .
What happens to the decimal point when we multiply a whole number by 100?
Answer:
Step-by-step explanation:
To multiply a decimal by 100, move the decimal point in the multiplicant by two places to the right. Here we multiplied the number 98.26 by 100 so we move 2 places to the right. 3. To multiply a decimal by 1000, move the decimal point in the multiplicant by three places to the right
Ms Castillo took 40 minutes to drive from Town A to Town B at an average speed of 60 miles per hour. (a) Find the distance between A and B. (b) If she increased her speed by 12 mph, how long would she take to travel the same distance?
Answer:
40 miles, 2000seconds or 33minutes and 20 seconds
Step-by-step explanation:
a. multiple time by miles/hour -> 40*60/60=40 so 40 miles
b. 60+12=72 so her new speed is 72mph. next, to find the time we need to divide distance by 1/mph -> 40* 1/(72/60)=40*60/72=100/3 which is 2000seconds or33minutes and 20 seconds
PLS HELP WILL MARK BRAINLIEST! ANSWER W/ SOLUTION
[tex] = \: \: \: c = 0 \\ \\ hope \: it \: \: helps \\ \\ see \: \: the \: \: attachement[/tex]
Help me plzzzz!! It is math and I have to walk the number line. And i don't know how to do it!
Answer:
1 is 13
2 is 13
3 is -7
4 is 7
Step-by-step explanation:
What is the slope of the line that passes through the points (3, 6) and (1, 2)
Answer:
2
Step-by-step explanation:
[tex]\frac{(2-6)}{(1-3)}[/tex]=[tex]\frac{-4}{-2}[/tex]=2