Answer:
log2(x - 1) - log6(x + 2) = 2
x ≈ 12.1485
In ∆PQR, m P = 60°, m Q = 30°, and m R = 90°. Which of the following statements about ∆PQR are true? Check all that apply.
A. PQ = √3 • PR
B. PQ = 2 • PR
C. QR = 2 • PR
D. QR = √3/2 • PQ
E. QR = √3 • PR
F. PR = √3/2 • PQ
Answer:
C. QR = 2 • PR
Step-by-step explanation:
According to given information we can draw a right triangle with angle measures as follows :
30-60-90 and for this special right triangle the side length would follow as:
The side length that sees angle measure 30 = a
The side length that sees angle measure 60 = a[tex]\sqrt{3}[/tex]
The side length that sees angle measure 90 = 2a
following this information the:
PR(sees 30 degrees) = a (can be represented as PR in this case)
and so
QR(sees 90 degrees) = 2a (2*PR in this case)
PQ(sees 60 degrees) = a[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] *PQ in this case)
The correct option is C. QR = 2 • PR
There are 40 runners in a race. How many ways can the runners finish first, second, and third?
Answer:
117600
Step-by-step explanation:
50 x 49 x 48 = 117,600 ways
You have 50 possible for 1st, 49 for 2nd, 48 for 3rd
or
Permutations 50P3 = 117,600
There are total 59280 ways that can the runners finish first, second and third in a race.
What is permutation?
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
Formula for permutation[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]
Where,
[tex]nP_{r}[/tex] is permutation.
n is total number of objects.
r is number of objects selected.
According to the given question
Total number of runners, n = 40
Total number of runners to be selected for first, second and third position is 3 i.e. r = 3
Therefore,
The number of ways can the runners finish the first, second and third is given by
[tex]40P_{3} = \frac{40!}{((40-3)!} =(40)(39)(38)=59280[/tex]
Hence, there are total 59280 ways that can the runners finish first, second and third in a race.
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4. Lincoln began his speech, “Four score and seven years ago....” How many years is four score and seven? (Hint: A score is 20 years.) Can someone help me?
What is an equivalent expression for 6x6x3x3x3x3
Expand 3(2y+1)
Answer this, please.
Answer:
6y + 3
Step-by-step explanation:
Blake can paint a room in 9 hours, Ned can paint the same room in 6 hours, how long to paint the room together
Please please help me I will give you brainless please
Answer:
[tex]f(x) = 2x - 1 \\ g(x) = 3x \\ h(x) = {x}^{2} + 1 \\ f( g(x)) = 2(3x) - 1 = 6x - 1 \\ f( g( - 3)) = 6( - 3) - 1 = - 19 \\ h(f(x)) = {(2x - 1)}^{2} + 1 \\ h(f(0)) = {(2(0) - 1)}^{2} + 1 \\ h(f(0)) = 2[/tex]
you and your freind are going on a camping trip.you each buy a backpackthat cost $90 and a sleeping bag that costs $60.what is the total cost of the camping eqiptment?
Answer:
$300
Step-by-step explanation:
90 x 2 = 180
60 x 2 = 120
120 + 180 = 300
3p=19 helppppppppppppp
Answer:
p= 6.33333333333
Step-by-step explanation:
U divide 19/3 to get the value of p
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Find the mean for this series of numbers.
15 40 10 40 30
mean =
Answer:
27
Step-by-step explanation:
15+40+10+40+30=135.
135÷5 I.e the total average of the number.
135÷5=27
Answer:
27
Step-by-step explanation:
15+40+10+40+30=135
135/5
Because 5 is the number of numbers
=27
What is the volume of the rectangular prism shown
A.answer the following:
1.what is the common ratio of the following G.P.
a.4,3,9/4..... c.-10,-2,-2/5,-2/27
b.1,-6,36...... d.0.03,0.3,3...
2.find the missing term 120,60,30,__ , __
3.given the G.P.5,10,20......what is the 10th term?
Answer:
30
Step-by-step explanation:
took test
The chart shows data for an object moving at a constant acceleration. A 2 column table with 4 rows. The first column is labeled time in seconds with entries 0, 1, 2, 3. The second column is labeled velocity in meters per second with entries 0, X, Y, Z. Which values best complete the chart? X: 0 Y: 0 Z: 0 X: 2 Y: 4 Z: 6 X: 3 Y: 3 Z: 3 X: 1 Y: 5 Z: 8
Answer:
its B
Step-by-step explanation:
X:2
Y:4
Z:6
The values that best complete the chart as per the concept of ratio are X:2, Y:4, and Z:6.
To determine the correct values for the chart, let's analyze the given information about an object moving at a constant acceleration:
The first column represents time in seconds (0, 1, 2, 3).
The second column represents velocity in meters per second (0, X, Y, Z).
Since the object is moving at a constant acceleration, its velocity is changing by the same amount in equal time intervals.
We can use the formula for constant acceleration:
Velocity (V) = Initial Velocity (U) + (Acceleration × Time)
Given that the object starts from rest (initial velocity, U = 0), we can deduce the following:
At time 1 second (T = 1), the object's velocity is X m/s.
At time 2 seconds (T = 2), the object's velocity is Y m/s.
At time 3 seconds (T = 3), the object's velocity is Z m/s.
Based on this information, the correct values for the chart are:
X: 2 (Velocity at 1 second is 2 m/s)
Y: 4 (Velocity at 2 seconds is 4 m/s)
Z: 6 (Velocity at 3 seconds is 6 m/s)
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my baby chickie is chuuu pretty
Answer:
Don't quite see how this should fall into the mathematics category
Gregory has a credit card with a 30-day billing cycle and an APR of 11.95%. The following table shows Gregory’s credit card transactions for the month of April.
Date
Amount ($)
Transaction
4/1
622.82
Beginning balance
4/4
45.45
Payment
4/10
78.91
Purchase
4/25
16.36
Purchase
Between the adjusted balance method and the daily balance method, which method of computing Gregory’s April finance charge will result in a greater finance charge, and how much greater will it be?
a.
The daily balance method will have a finance charge $0.09 greater than the adjusted balance method.
b.
The daily balance method will have a finance charge $0.54 greater than the adjusted balance method.
c.
The adjusted balance method will have a finance charge $1.40 greater than the daily balance method.
d.
The adjusted balance method will have a finance charge $0.86 greater than the daily balance method.
Answer:
✅B. The daily balance method will have a finance charge $0.54 greater than the adjusted balance method.i got it right on test⬇️
-3y+15 2y+4
_____ = ______
6 7
Please explain this step by step.
5+4(n+9)=-3
Answer:
n = -11
Step-by-step explanation:
5 + 4(n + 9) = -3,
5 + 4n + 36 = -3,
41 + 4n = -3,
4n = -44,
n = -11
Martina runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
Answer:
2 and a half mile
Step-by-step explanation:
As she runs three miles in 25 minutes so she can run 2 and a half miles in 20 minutes because she needs five minutes to complete the third mile
please i need help asap
Answer:
yeah f(x) = 2
Step-by-step explanation:
because there is no x and f(x) is on positive 2
40 percent of 37,500
Answer: 15,000
Step-by-step explanation:
40 percent *37500
= (40/100)*37500
= (40*37500)/100
= 1500000/100 = 15,000
the mean sale per customer for 40 customers at a grocery store is $23.00, with a standard deviation of $6.00. Apply Chebyshev's Theorem to the data using k=2.
help-
i dont remember how to do this or what the answer would be
Answer:
I'm no 100% sure but,
A triangle is 360⁰
So 65 +47 =112
180-112=68
two opposite angles are always equall so
x=68⁰
Sorry if I'm wrong!
Doreen uses 13 apples for every 2 pies she bakes. How many will she use for 12 pies
Answer:bbbbb
Step-by-step explanation:
sssđs
Given : 13 apples for every 2 pies
We know that : 12 = 2 × 6
Therefore, the number of apples will be 13 × 6 = 78
So, the answer is 78
help plssss !!! I need help with this I've been struggling
Answer:
362.984 could be the answer but don't judge me I could be wrong.
Step-by-step explanation:
I'm not 100% sure.
From what I've been taught, they're asking for the amount of snow in cm that is melting per minute.
What I did:
I input 17 where r is in the equation for Volume. I solved it and got the answer: 20579.52628 > Rounded to nearest 10th > 20579.5
I then took that number and multiplied it by 0.1 and got: 2057.95
This is most likely incorrect based on the numbers that were given, but it should help to know that how to solve for Volume.
Find the volume of the composite solid. Round your answer to the nearest hundredth.
700 cubic inches
Step-by-step explanation:
is known :
r = 5 inh = 9 inV = πr²h
V = 3.14 · 5² · 9
V = 3.14 · 25 · 9
V = 78.5 · 9
V = 706.5 cubic inches → Round to the nearest hundredth
V ≈ 700 cubic inches
The Volume of Cylinder is 1271.7 in³.
What is volume of Cylinder?The volume of a cylinder is the amount of space that it occupies. It is a measure of the total capacity or content enclosed by the cylindrical shape.
The formula for calculating the volume of a cylinder is:
Volume = πr²h
We have, Radius= 5 in
Height= 9 inch
So, the Volume of Cylinder
= πr²h
= 3.14 x 5 x 5 x 9
= 3.14 x 5 x 81
= 3.14 x 405
= 1271.7 in³
Thus, the Volume of Cylinder is 1271.7 in³.
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The ratio of men to women working for a company is 5 to 4. If there are 162 total, how may women work for the company
Answer:
72 women
Step-by-step explanation:
sorry it let me answer now
=============================================================
Work Shown:
m = number of men
w = number of women
The ratio of men to women is 5 to 4, which means m/w = 5/4
We can cross multiply and solve for m like so
m/w = 5/4
4m = 5w
m = 5w/4
m = 1.25w
Because there are 162 people total, we then can say:
m+w = 162
1.25w + w = 162
2.25w = 162
w = 162/(2.25)
w = 72
There are 72 women at this company and m = 1.25w = 1.25*72 = 90 men
m+w = 90+72 = 162
m/w = 90/72 = (5*18)/(4*18) = 5/4
Both of those two equations above help confirm our answer.
One of the cutting machines is shut down for repairs. How many parts can the remaining machines cut in 4 1/2 hours?
Answer:
the answer is sike not telling you
Step-by-step explanation:
Will mark BRAINLIEST IF U ANSWER!:
Answer:
-4.62962962963
Step-by-step explanation:
.........................
Step-by-step explanation:
→ (1.2*(10^57)) + 1.2*(10^56) → 1.32e+57→ 1.32 × 10^57 1.(drag) → 1.32 and 2. (drag) → 57» 1.32e+57
What is the equation of the line in slope intercept form write your answer using integers, proper fractions, and improper tractions in simplest form
Answer:
y = 2x - 1
Step-by-step explanation:
To find out the equation of the line, you will always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, we need to choose 2 points from the graph to solve for the slope:
Let (x1, y1) = (0, -1)
(x2, y2) = (3, 5)
Substitute these values into the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{5 - (-1)}{3 - 0} = \frac{5 + 1}{3} = \frac{6}{3} = 2[/tex]
Therefore, the slope (m) = 2.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -1) is the y-intercept. Hence, the y-intercept (b) = -1.
Given our slope, m = 2, and the y-intercept (b) = -1, the linear equation is:
y = 2x - 1
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