Yes.
8/7 (1 1/7) is rational.
Point L is on line segment km. Given km =5x+10, LM=4x, and KL=3x, determine the numerical length of kL
Answer:
KM= KL+LM
5x+10=3x+4x
5x+10=7x
2x=10
x=5
now
kl=3x=3*5=15
Solve the equation, 5- 2y = –8
Answer:
Step-by-step explanation:
5 - 2y = - 8
Subtract 5 from both sides
-2y = - 8 - 5
-2y = - 13
Divide by - 2
-2y/-2 = - 13/-2
y = 6 1/2 or 6.5
When x is decreased by 2 and then that number is divided by 2, the result is 2. What is the value of x?
Answer:
x=6
Step-by-step explanation:
6 minus 2 is 4 and 4 divided by two is 2
Are All integers are in the set of real numbers.
One of the most spectacular and least known hummingbirds is the Marvelous Spatuletail, Loddigesia mirabilis, found in only in a single remote valley in northern Peru (see photo below). In this valley the mean density is 3 spatuletails per 100-hectare quadrat. (a) What is the probability a random quadrat contains less than 3 spatuletails
Answer:
P(x < 3) = 0.42319
Step-by-step explanation:
From the given information:
The mean density [tex]\lambda =[/tex] 3
Let x be the random variable that follows a Poisson distribution.
Therefore:
[tex]\mathtt{P(x) = \dfrac{e^{-\lambda} \lambda ^x}{x!}}[/tex] for x =1, 2, 3...
However, the probability that a random quadrat contains less than 3 spatuletails can be computed as:
[tex]\mathtt{P(x <3 ) = \dfrac{e^{-3}3 ^0}{0!}+ \dfrac{e^{-3}3 ^1}{1!}+ \dfrac{e^{-3} 3 ^2}{2!} }[/tex]
[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{3 ^0}{0!}+ \dfrac{3 ^1}{1!}+ \dfrac{3 ^2}{2!} \end {pmatrix} }[/tex]
[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{1}{1}+ \dfrac{3 }{1}+ \dfrac{9}{2} \end {pmatrix} }[/tex]
[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} 1+3+ 4.5 \end {pmatrix} }[/tex]
[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix}8.5 \end {pmatrix} }[/tex]
P(x < 3) = 0.42319
Solve for x: 3.8x − 2(x − 9) = 4.4x + 5
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]3.8x-2(x-9)=4.4x+5[/tex]
Distribute the -2:
[tex]3.8x+(-2x+18)=4.4x+5[/tex]
Combine like terms on the left:
[tex]1.8x+18=4.4x+5[/tex]
Subtract 1.8x from both sides. The left cancels:
[tex]18=2.6x+5[/tex]
Subtract 5 from both sides. The right cancels:
[tex]13=2.6x[/tex]
Divide both sides by 2.6:
[tex]x=13/2.6[/tex]
Simplify (multiply both layers by 10 to get rid of the decimal):
[tex]x=130/26[/tex]
Reduce (divide both layers by 26):
[tex]x=5[/tex]
So, the value of x is 5.
Answer:
5
Step-by-step explanation:
Step 1:
3.8x - 2 ( x - 9 ) = 4.4x + 5
Step 2:
3.8x - 2x + 18 = 4.4x + 5
Step 3:
1.8x + 18 = 4.4x + 5
Step 4:
18 = 2.6x + 5
Step 5:
13 = 2.6x
Answer:
5 = x
Hope This Helps :)
HELP!!! Will give brainliest!!! How do you slove a two step equation with fractions involved?
I hope that this is what you are looking for
Step-by-step explanation:
Let's take the following question as an example,
[tex]\frac{2}{3} x-\frac{1}{4} = \frac{1}{6}[/tex]
Start by adding 1/4 to both sides.
[tex]\frac{2}{3} x - \frac{1}{4} + \frac{1}{4} = \frac{1}{6} + \frac{1}{4}[/tex]
[tex]\frac{2}{3}x = \frac{1}{6}+ \frac{1}{4}[/tex]
To add both 1/6 and 1/4 together we must have a common denomitor.
The common denominator for 1/6 and 1/4 is 12
[tex]\frac{2}{3}x = (\frac{1}{6}*\frac{2}{2} ) + (\frac{1}{4}*\frac{3}{3} )[/tex]
Multiple to get the common denomiators
[tex]\frac{2}{3}x = (\frac{2}{12}) + (\frac{3}{12} )[/tex]
Now we can add the fractions.
[tex]\frac{2}{3}x = \frac{5}{12}[/tex]
To get the x by itself we can either multiple by the reciprobcal of 2/3 or multiple by 3 and then divide by 2
[tex](\frac{3}{2} )* \frac{2}{3} x = (\frac{5}{12})(\frac{3}{2})[/tex]
The left side will become x as 3/2 and 2/3 cancel each other out
[tex]x = (\frac{5}{12}) (\frac{3}{2})[/tex]
Multiple the right side to get a value for x
[tex]x = \frac{15}{24}[/tex] or [tex]x = \frac{5}{8}[/tex]
If you notice we can simplfy the fraction to 5/8
Find surface area of the regular pyramid plz help ASAP
Answer:
B. 3,157 in^2
Step-by-step explanation:
surface area of a pyramid shown = 3x lateral area + base area
given:
s1 = s2 = s3 = 42 in
L = 38 in
lateral area = ( 1/2 * 42 * 38 ) = 798 sq. in
base area = √3 * s^2
4
= √3 * 42^2
4
= 763.834 sq. in
therefore,
surface area of a pyramid shown = 3x 798 + 763.834 = 3,157 in^2
Answer:
= 3,157 in^2
Step-by-step explanation:
surface area = 3x lateral area + base area
given:
side lengths area s1 = s2 = s3 = 42 in
slant height = 38 in
lateral area = ( 1/2 * 42 * 38 )
= 798 sq. in
base area = (√3 * s^2 ) / 4
= (√3 * 42^2 ) / 4
= 763.83 sq. in
surface area = 3x 798 + 763.834
= 3,157 in^2
State the horizontal asymptote of the rational function.
f(x) = quantity x plus nine divided by quantity x squared plus four x plus two
Answer:
there is no meme
Step-by-step explanation:
The region between the graphs of X = y2 and X = 5y is rotated around the line y=5. The volume of the resulting solid is_________.
Answer and Step-by-step explanation:
The volume of the resulting solid is shown below:-
The lines in for
y can be y = sqrt(x) using square root
and y = x ÷ 5
In this, the intersect is done when sqrt(x) = x ÷ 5 using square root
Now
x = x^2 ÷ 25
x = 0
or
x = 25
so outermost is x ÷ 5 innermost is sqrt(x) using square root
Therefore A is
= integral of pi ( (x ÷ 5-5)^2 - (sqrt(x)-5)^2) using square root
from 0 to 25
= 625 pi ÷ 6
Is this correct as well?
Answer:
yes it is
Step-by-step explanation:
use the point slope form to find the linear equation of a line that passes through the points 2,-1 and 10,7
Answer:
Step-by-step explanation:
Y2-y1 , x2-x1
7-3=5
10-(-1=11
5/11 so y=5/11x is the answer
Answer:
Y= 1x+-3
Step-by-step explanation:
Which is the correct option?(attached)
Answer:
I believe it's D
Step-by-step explanation:
Find the prime factorization of the following number. 110
Answer:
{2, 5, 11}
Step-by-step explanation:
First, 110 = 2 * 55
Next, 55 = 5 * 11
Thus, the prime factors of 110 are {2, 5, 11}
2. Select all ratios that are equivalent to 3:18.
21:126
6:36
1:6
1:18
15
21
Answer:
21:126
6:36
1:6
Step-by-step explanation:
10. Use Structure What could be a first step to
solving the equation 3x + -0.5(x + 3) + 4 = 14?
Explain.
scientific notation
Answer:
1.45
Step-by-step explanation:
not sure but trying to help :)
1) Simplify x3 x4 using the product of powers property.
Les
Answer:
Step-by-step explanation
[tex]a^{m} * a^{n} = a^{m+n}\\\\x^{3}*x^{4} = x^{3+4} = x^{7}[/tex]
In product of powers, if base is same, just add the powers
please help me im confused
Answer:
it a d) option i.e d) AAS test
make me as brilliest and follow me....mc=200x+1,600
solve for x
Answer:
[tex] \huge \: \orange { \boxed{x = \frac{c}{200} - 8 }}[/tex]
Step-by-step explanation:
[tex] \huge \: c = 200x + 1600 \\ \\ \huge \:c - 1600 = 200x \\ \\ \huge \:\frac{c - 1600}{200} = x \\ \\ \huge \: \frac{c}{200} - \frac{1600}{200} = x \\ \\ \huge \:\frac{c}{200} - 8 = x \\ \\ \huge \: \red{ \boxed{x = \frac{c}{200} - 8 }}[/tex]
Look at the photo HELPPPP I NEED IT RNN!!!
Answer:
-150
Step-by-step explanation:
Corporate bonds from Dagofi Radar are selling at 88.354, bonds from Chambers Translation are selling at 112.894,
and bonds from Essentia Inc. are selling at 96.262. If Roger wants to buy two bonds with a par value of $1,000 each
from Dagofi Radar, five bonds with a par value of $500 each from Chambers Translation, and four bonds with a par
value of $1,000 each from Essentia Inc., how much can he expect to spend?
a. $8,439.91
b. $8,500.00
C. $2,975.10
d. $9,343.97
Answer:
(A) $8,439.91
Step-by-step explanation:
Just took test
Jeff bought 10 cookies and ate 4 of them. He ate ____% of the cookies. (Make sure to enter the answer using numbers only. Do not enter special characters such as the percent symbol.)
Answer:
40 percent
Step-by-step explanation:
4/10=40/100=40 percent
Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.40. After one month, Paul bought 21 passes and spent a total of $38.40. How much did he spend on the student discount card? Paul spent $ on the student discount card.
1.40 x 21 passes = 29.40 for passes.
38.40 - 29.40 = 9.00
He spent $9.00 on the card
Write each number as a product of primes 1. 120 2. 160
Answer:
120=2*2*2*3*5
160=2*2*2*2*2*5
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
1. 120 = 12 * 10
= 2*2*3*2*5
= 2*2*2*3*5
2. 160 = 10 * 16
= 2*5*2*2*2*2
= 2*2*2*2*2*5
which equation is equivalent to the given expression
[tex]x {}^{2} - 6x = 8[/tex]
A.
[tex](x - 3) {}^{2} = 17[/tex]
B.
[tex](x - 6) {}^{2} = 20[/tex]
C.
[tex](x - 3) {}^{2} = 14[/tex]
D.
[tex](x - 6) {}^{2} = 44[/tex]
Answer:
[tex](x - 3)^{2} = 17[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 6x = 8 \\ {x}^{2} - 6x + 9 = 8 + 9 \\ (x - 3)^{2} = 17[/tex]
can ratios be thought of as fractions?
Which set of ordered pairs represents a function?
O {(2,-2), (1,5), (-2, 2), (1, -3), (8, -1)}
O {(3,-1), (7, 1), (-6, -1), (9, 1), (2, -1)}
O {(6, 8), (5, 2), (-2,-5), (1, -3), (-2, 9)}
O {(-3, 1), (6, 3), (-3, 2), (-3,-3), (1, -1)}
pls I need help
If m∠1= (7x –19)°, and m∠2 = (x + 5)°, find m∠2.
Given :
∠m1 = ( 7x - 19 )° .
∠m2 = ( x + 5 )° .
To Find :
The value of x .
Solution :
Since , relation between angle ∠m1 and ∠m2 is not given .
Let , us assume that sum of ∠m1 and ∠m2 is 180° .
So ,
[tex](7x-19)+(x+5)=180^{\circ}\\\\8x-14=180\\\\8x=194\\\\x=24.25^{o}[/tex]
Angle ∠m2 = (24.25 + 5 )° = 29.25° .
Therefore , ∠m2 = 29.25° .
Hence , this is the required solution .
Answer:
Given :
∠m1 = ( 7x - 19 )° .
∠m2 = ( x + 5 )° .
To Find :
The value of x .
Solution :
Since , relation between angle ∠m1 and ∠m2 is not given .
Let , us assume that sum of ∠m1 and ∠m2 is 180° .
So ,
Angle ∠m2 = (24.25 + 5 )° = 29.25° .
Therefore , ∠m2 = 29.25° .
Hence , this is the required solution .
Step-by-step explanation:
To address a falling GDP, a government may:
A. raise interest rates to allow businesses to borrow more money.
B. reduce the amount of money it puts into circulation.
C. invest in programs in order to help people in need.
D. lower interest rates to allow businesses to borrow more money.
Answer: D. Lower interest rates to allow businesses to borrow more money
Step-by-step explanation:
just took the test
To address a falling GDP, a government may lower interest rates to allow businesses to borrow more money. The correct option is A.
What is GDP?Real GDP (short for real GDP) is a macroeconomic measure of the value of economic output adjusted for price changes. This adjustment transforms the money-value measure, nominal GDP, into an index for the quantity of total output.
It is computed using the prices of a given base year. To calculate Real GDP, you must first determine how much GDP has been changed by inflation since the base year and then divide that amount by the number of years.
A government may lower interest rates to allow businesses to borrow more money in order to address a falling GDP.
To know more about GDP follow
https://brainly.com/question/1383956
#SPJ5