You pick a card at random, put it back, and then pick another card at random. 3 4 5 6 What is the probability of picking a 5 and then picking a 3?
Answer:
1/16
Explanation:
You have a 1/4 chance both times but in probability you multiply when in a sequence of events. 1/4*1/4= 1/16
The x-intercept is the point on the x-axis where the line crosses it. The
y-coordinate of the line's x-intercept is always zero. The x-coordinate of the
x-intercept is the number where it crosses the x-axis. A line with an x-
intercept of (5,0) crosses the x-axis at the number 5. A line with an x-
intercept of (-5,0) crosses the x-axis at -5.
Which of these coordinates could be a line's x-intercept?
A
(3,1)
B
(0,-12)
С
(-5,4)
(-7,0)
Answer:
D
Step-by-step explanation:
1 gold plate weight 30 mg if the weight of some plates is 450 ml mg find the number of plates
Answer:
15 plates
Step-by-step explanation:
450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.
Answer:
15
Step-by-step explanation:
Your units are a little confused.
The mass (total ) is 450 mg
1 plate weighs 30 mg
1 plate / 30 mg = x plates / 450 mg Cross multiply
1 * 450 = 30x Divide by 30
450 / 30 = x
x = 15
There are 15 gold plates.
The table shows the number of gallons of water
Answer:
Hello! answer: 360
Step-by-step explanation:
The rule is multiply by 30 I found this out by using the info shown in the table like...
120 ÷ 4 = 30 90 ÷ 30 = 3 60 ÷ 30 = 2 and so on matching up with the chart! so what I did was 12 × 30 to get the final answer to follow the pattern so... 12 × 30 = 360 therefore the answer is 360 HOPE THAT HELPS!
which polygon matches this set of ordered pairs?
A (1,3),B(1,9),c(4,9),d(4,3)
Answer:
B
Step-by-step explanation:
Hence, Solve the equation
X Х
1- x
4x=
Name the postulate, if possible, that makes the triangles congruent. *
Answer:
answer is ASA
Step-by-step explanation:
two triangles are congruent by angle side angle theorem.
Consider function f.
f(1) = 170 – 21
Place the steps for finding /-(s) in the correct order.
y = 171 – 21
I = V7y - 21
1
432 + 3 = 1-1(), where I > 0
1
(1 +21)2 = 77
$(72 – 21) = |-|(s), where a > 0
1
12 + 21 = 7y
12 = 7y - 21
1
42 +3 = 4
1
Given:
The function is:
[tex]f(x)=\sqrt{7x-21}[/tex]
To find:
The steps of finding the inverse function [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=\sqrt{7x-21}[/tex]
The steps of finding the inverse function are:
Step 1: Substitute [tex]f(x)=y[/tex].
[tex]y=\sqrt{7x-21}[/tex]
Step 2: Interchange x and y.
[tex]x=\sqrt{7y-21}[/tex]
Step 3: Taking square on both sides, we get
[tex]x^2=7y-21[/tex]
Step 4: Adding 21 on both sides, we get
[tex]x^2+21=7y[/tex]
Step 5: Divide both sides by 7.
[tex]\dfrac{1}{7}x^2+3=y[/tex]
Step 6: Substitute [tex]y=f^{-1}(x)[/tex].
[tex]\dfrac{1}{7}x^2+3=f^{-1}(x)[/tex], where [tex]x\geq 0[/tex].
Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{1}{7}x^2+3[/tex] and the arrangement of steps is shown above.
What is the equation of the line that is parallel to y minus 3 x = 2 and that passes through (6,1)?
Answer:
y = 3x - 17
Step-by-step explanation:
y - 3x = 2
y = 3x + 2
Parallel slope (m) = 3
Passes through (6, 1)
Slope-intercept:
y - y1 = m(x - x1)
y - 1 = 3(x - 6)
y - 1 = 3x - 18
y = 3x - 17
7k-6,2k+14 solve for K
Answer:
0.8k +14
Step-by-step explanation:
See the steps below:)
suppose that A and B are 3x3 matrices I is tje Identity matrix of order 3 such that AB=2l. lf det |B|=6 . what is the det(A^t)?
sum of 1/3, 1/5 and 1/6 in simplest form
Answer:
7/10
Step-by-step explanation:
1/3 + 1/5 = 8/15
8/15 + 1/6 = 21/30
21/30 = 7/10
Answer:
[tex]{\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex] \frac{1}{3} + \frac{1}{5} + \frac{1}{6} [/tex]
First you need to find the LCM of the denominators.
LCM of 3, 5, 6 = 30
[tex] \frac{1}{3} \times \frac{10}{10} \\ = \frac{10}{30} [/tex]
[tex] \frac{1}{5} \times \frac{6}{6} \\ = \frac{6}{30} [/tex]
[tex] \frac{1}{6} \times \frac{5}{5} \\ = \frac{5}{30} [/tex]
Now, since the denominators are equal you can easily add them.
[tex] \frac{10}{30} + \frac{6}{30} + \frac{5}{30} \\ = \frac{10 + 6 + 5}{30} \\ = \frac{21}{30} \\ = \frac{7}{10} \\ = 0.7[/tex]
✏ Answer = 7/10 in fraction form & 0.7 in decimal form.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
rational numbers
help me please
Answer:
use a calculater multiply them
2 over 9 would just be 9 x 9= 81
4 over 2 would just be 2 x 2 x 2 x 2 = 16
do NOT do 2 x 4 bec that will be 8
Question 5 of 10
How many solutions over the complex number system does this polynomial
have?
2x4 – 3x3 – 24.x2 + 13x +12=0
Enter your answer as an integer.
Answer:
4 solutions
Step-by-step explanation:
if the equation is 2x^4 -3x^3 -24x^2 +13x +12 = 0 you look at the highest degree to find how many solutions. the degree being the highest exponent. so in this case it would be the exponent that is 4 so there should be 4 solutions.
if 7x - 9 equals 15, what is the value of 7x +1
Answer:
25Step-by-step explanation:
First,
7x - 9 = 15
=> 7x = 15 + 9
=> 7x = 24
[tex] = > x = \frac{24}{7} [/tex]
Now putting its value in 7x + 1,
= 7x + 1
[tex] = 7 (\frac{24}{7} ) + 1[/tex]
[tex] = 7 \times \frac{24}{7} + 1[/tex]
= 24 + 1
= 25 (Ans)
What is an equation of the line that passes through the points (-2,7) and (1, -8)?
Answer:
y=-5x-3
Step-by-step explanation:
You need to plug both of them into the equation
y=mx+b
This would give us
7=m(-2)+b
-8=m+b
15=-3m
m=-5
y=-5x-3
Answer:
y=-5x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-8-7)/(1-(-2))
m=-15/(1+2)
m=-15/3
m=-5
y-y1=m(x-x1)
y-7=-5(x-(-2))
y-7=-5(x+2)
y=-5x-10+7
y=-5x-3
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
cos
Step-by-step explanation:
take 31 degree as reference angle
using cos rule
cos 31=adjacent/hypotenuse
0.85=14/x
x=14/0.85
x=16.47
x=16.5
Find the value of the variable. Round decimal to nearest tenth if necessary.
Given:
In a right angle triangle,
Length of legs are x and 7.
Length of hypotenuse = y
Measure of angle between leg 7 and hypotenuse = 33 degrees.
To find:
The value of x and y.
Solution:
In a right angle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan (33^\circ)=\dfrac{x}{7}[/tex]
[tex]7\times \tan (33^\circ)=x[/tex]
[tex]7\times 0.6494=x[/tex]
[tex]4.5458=x[/tex]
Approximate the value to the nearest tenth.
[tex]x\approx 4.5[/tex]
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos (33^\circ)=\dfrac{7}{y}[/tex]
[tex]y=\dfrac{7}{\cos (33^\circ)}[/tex]
[tex]y=\dfrac{7}{0.83867}[/tex]
[tex]y=8.34655[/tex]
Approximate the value to the nearest tenth.
[tex]y\approx 8.3[/tex]
Therefore, the correct option is D.
Use 3.14 as an approximation of π. Which is the area of a circle with a radius of 6cm?
A. 18.84 cm^2
B. 28.26 cm^2
C. 37.68 cm^2
D. 113.04 cm^2
E. About 355 cm^2
Answer:
D - 113.04cm²
Step-by-step explanation:
πr² (formula for area of a circle)
3.14×6²
= 113.04
Complete the blanks:
Horizontal lines have _____
slope and vertical lines have slope.
Horizontal lines have _______ equations that say __= any number.
Vertical lines have equations that say __= any number.
Answer:
Horizontal lines have __zero___
slope and vertical lines have undefined slope.
Horizontal lines have ___linear____ equations that say _y_= any number.
Vertical lines have equations that say _x_= any number.
Answer:
To write the equation of a horizontal line, we only need to specify where it intersects with the y-axis. This will look like y=k, where k is where the line crosses the y-axis.
The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .
Step-by-step explanation:
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Find the distance between the two points rounding to the nearest tenth (if necessary).
(-6, 6) and (3, -6)
Answer:
[tex]\displaystyle d = 15[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-6, 6)
Point (3, -6)
Step 2: Identify
(-6, 6) → x₁ = -6, y₁ = 6
(3, -6) → x₂ = 3, y₂ = -6
Step 3: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(3--6)^2+(-6-6)^2}[/tex][√Radical] (Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(9)^2+(-12)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81+144}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{225}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 15[/tex]Sove for X choose one. Pls
Find the value of x. If necessary, write your answer in simplest radical form.
12
9
Answer:
3√7
Step-by-step explanation:
9²+B²=12²
simplify
81+B²=144
minus the 81
B²= 63
Let BC=CD=12cm, and the length of arc BD=15cm. Find the area, in square centimeters, of sector BCD.
Answer:
option b : 90 sq. cm
Step-by-step explanation:
1) Area of circle with radius = 12cm
Area = π r^2
= 3.14 * (12) (12)
= 3.14 * 144
= approx 452.4
2) Circumference of circle with radius = 12cm
Circumference = 2πr
= 2 * 3.14 * 12
= approx 75 .4
3) Arc length = 15cm ......(given)
[tex] \frac{area \: of \: sector}{total \: area} = \frac{arc \: length}{circumference} [/tex]
[tex] \frac{area \: of \: sector}{452.4} = \frac{15}{75.4} [/tex]
[tex]area \: of \: sector \: = \frac{15 \times 452.4}{75.4} [/tex]
[tex] = \frac{6786}{75.4} [/tex]
[tex] = 90 {cm}^{2} [/tex]
what is the additive inverse of the complex number –8 + 3i?
C on edg.
Your neighbor's are building a dog pen in the shape of a right triangle. The legs of the triangular pen measures 9 meters and 12 meters. Find the perimeter of the enclosed space
A 82-inch candle burns down in 11 hours. How far has it burned after 11 hours?
Use the dropdown menu to state your answer as a decimal, mixed number, or
improper fraction.
Answer type: Whole number/Decimal
in.
Submit Answer
Answer:
Anger.
Step-by-step explanation:
What is the length of a 50-inch TV that has a width of 27 inches?
Answer:
42.08inches
Step-by-step explanation:
Given data
SIze of TV= 50 inch
Width= 27inches
Length= ??
Applying Pythagoras theorem
z^2= x^2+y^2
50^2= x^2+27^2
square root both sides
50^2= x^2+27^2
2500= x^2+ 729
2500-729=x^2
1771=x^2
x= √1771
x= 42.08
Hence the lenght is 42.08inches
Sam is practicing speed skating at an ice rink.The distance around the rink is 150 yards. He skated around the rink 5 times. How many feet did Sam skate
What are the dimensions of the rectangle shown on the coordinate plane?The base is 5 units and the height is 3 units.The base is 4 units and the height is 7 units.The base is 7 units and the height is 5 units.The base is 7 units and the height is 3 units.
Answer:
Identify the radius and the center of a circle whose equation is (x – 5)² + y² = 81.
Step-by-step explanation:
The radius of the circle is
⇒ 9 units.
The center of the circle is at (
⇒ 5,
⇒ 0).