Answer:
a = 2; b = -1; and c = 3
Step-by-step explanation:
Please see attached image for the step by step answer
. Elvira has 3 caps: one red, one green,
and one blue. She also has two green T-shirts, one blue T-shirt
and 3 black T-shirts. Elvira considers it a faux pas to ever be seen wearing blue and green at the same
time. What is the probability that Elvira will commit a fashion faux pas, if she randomly reaches into
her dresser and selects a cap and a T-shirt?
Please help me
Answer:
1/6Step-by-step explanation:
There are 3 caps and 6 T-shirts
Probability of blue cap and green T-shirt is:
1/3*2/6 = 1/3*1/3 = 1/9Probability of green cap and blue T-shirt is:
1/3*1/6 = 1/18Probability of fashion faux:
1/9 + 1/18 = 3/18 = 1/6Could someone help bc I don’t know
Answer:
A. 56 is greater than 37
B. -1 is less than 2
C. -5 is less than 0
D. -4 is greater than -5
E. -6.0 is equal to -6
Step-by-step explanation:
These are the answers because:
1) When we are comaparing positive numbers, the greater the number, the higher value it has, however, when we are comparing negative numbers, the higher the number, the less value it has.
Hope this helps! :D
x reduced by 13 is atleast 15
Answer:
If you need an inequality here it is, can't really tell what you're trying to ask.
x-13≤15
Step-by-step explanation:
When we are talking about AT LEAST we are talking about the minimum.
For example, if I start a party and the age requirements for the party is at least 15, that means anyone who is 15 or older can enter the party.
So in your question, it says x reduced by 13 is at least 15, so reduced basically means to minus. So we are going to have x-13.
Then you have the "is at least 15". The at least is your sign for your inequality.
For example,
At least=≤
At most=≥
So the "is at least 15" is ≤15
Plug the numbers in: x-13≤15
Expand and simplify (x - 5)(x - 4)
Answer:
(x - 5) (x - 4)
x(x - 4) - 5(x -4)
x^2 - 4x - 5x - 20
x^2 - 9x - 20
Expand: x (x - 4) - 5 (x - 4)
Simplify: x^2 - 9x - 20
Wang Yan drove her truck. The fuel remaining in the truck's tank (in liters) as a function of distance (in kilometers) is graphed. What is the approximate average fuel consumption rate, between the 100^\text{th}100
th
100, start superscript, start text, t, h, end text, end superscript kilometer and the 400^\text{th}400
th
400, start superscript, start text, t, h, end text, end superscript kilometer?
Answer:
Step-by-step explanation:
5/6 liters
Answer:
5/6
Step-by-step explanation:
khan
Evaluate the following function for (3, -1):
f(x, y) = 2x – 3y + xy^2
Answer:
f(3, -1) = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x, y) = 2x - 3y + xy²
(3, -1) is x =3 and y = -1
Step 2: Evaluate
Substitute: f(3, -1) = 2(3) - 3(-1) + 3(-1)²Exponents: f(3, -1) = 2(3) - 3(-1) + 3(1)Multiply: f(3, -1) = 6 + 3 + 3Add: f(3, -1) = 9 + 3Add: f(3, -1) = 12In (3,-1) the first number is x and the second number is y.
Replace x and y in the equation and solve:
2x - 3y + xy^2 = 2(3) -3(-1) + (3)(-1)^2
Simplify:
6 + 3 +3 = 12
The answer is 12
500 sixth-grade students were surveyed. Of these students that were surveyed 375 had been to a baseball game, 270 own either a catcor a dog, 125 had traveled on an airplane. What is the ratio of sixth-grade students who traveled on an airplane to the total number of sixth-grade students surveyed?
Economists are studying your local housing market to see whether mortgage approval rates impact home prices. They collect data on mortgage approval rates in your area and compare them with local housing prices. In this experiment, what are the variables measures? A. Mortgage approval rates and discrimination B. Housing prices and income. C. Mortgage approval rates and income. D. Mortgage approval rates and housing prices
Answer:
D. Mortgage approval rates and housing prices
Step-by-step explanation:
From the study being conducted by the economist, the two variables in their study happens to be the Mortgage approval rates and the housing prices. This is because, the local housing market is influenced by those two.
The higher the value of one variable, it may have a direct or indirect influence on the value of the other variable. To determine the relationship between the two means it need to be investigated.
What should the following rate be divided by to convert it to a unit rate?
6 inches
12 hours
A.12/12
B.2/2
C.12
D.6/6
Answer:
Can someone help, please?
-1/2(7z+4)+1/5(5z-15)
Answer:
21
Step-by-step explanation:
bc i said
A map shows a town with a area of 3.5 square inches. if the map has a scale of 1 inch : 4 miles, what is the actual area of the town?
Answer:
14 sq. mi.
Step-by-step explanation:
Based on the scale we can see that for every inch there are an actual 4 miles in the town. Therefore, this is 4 times the model version meaning that if the model's area is calculated as 3.5 square inches then we can multiply this by 4 to get the actual area of the town.
3.5 sq. in. * 4 = 14 sq. miles
Finally, we can see that the area of the town is 14 sq. mi.
Answer:
56
Step-by-step explanation:
56 it’s for Acellus
Which of the following expressions is a monomial?
x-2
y4 - x3
4 - a
5c3
Answer:
5[tex]c^{3}[/tex]
Step-by-step explanation:
A monomial is an "expression" containing one element. It can be operations such as multiplication or division (or exponents, exponents are technically multiplication). A monomial cannot have addition or subtraction.
Answer:
it is 5c3 because it have one term
Ming took a cab across town. His fare was $22, and he leaves an 18% tip. What is the total amount Ming pays the cab driver?
Answer:
$25.96
Step-by-step explanation:
Multiply the original price by the decimal value of the percentage then add that number to the original price
22*.18=3.96
3.96+22=25.96
inverse laplace of L^-1 {5s/s^2 + 3s - 4}
Answer:
[tex]e^t+e^{-4t}[/tex]
Step-by-step explanation:
We have to simplify the original function using partial fraction, hence:
[tex]\frac{5s}{s^2+3s-4} =\frac{5s}{(s-1)(s+4)}\\\\=\frac{A}{s-1}+\frac{B}{s+4}\\\\Therefore:\\\\\frac{A(s+4)+B(s-1)}{(s-1)(s+4)}=\frac{5s}{(s-1)(s+4)}\\\\Eliminating\ the \ denominator:\\\\A(s+4)+B(s-1)=5s\\\\substitute\ s=1:\\\\A(1+4)+B(1-1)=5(1)\\\\5A=5\\\\A=1\\\\tsubstitute\ s=-4:\\\\A(-4+4)+B(-4-1)=5(-4)\\\\-5B=-20\\\\B=4\\\\Therefore\ substituting\ A\ and\ B\ gives:\\\\\frac{5s}{s^2+3s-4}=\frac{1}{s-1}+ \frac{4}{s+4}\\\\[/tex]
[tex]From\ Laplace\ inverse:\\\\But\ L^{-1}[\frac{1}{s-a} ]=e^{at}\\\\Hence:\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]=e^{t}+4e^{-4t}\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=e^{t}+4e^{-4t}[/tex]
Compute the surface area of the portion of the sphere with center the origin and radius 4 that lies inside the cylinder x^2+y^2=12
Answer:
16π
Step-by-step explanation:
Given that:
The sphere of the radius = [tex]x^2 + y^2 +z^2 = 4^2[/tex]
[tex]z^2 = 16 -x^2 -y^2[/tex]
[tex]z = \sqrt{16-x^2-y^2}[/tex]
The partial derivatives of [tex]Z_x = \dfrac{-2x}{2 \sqrt{16-x^2 -y^2}}[/tex]
[tex]Z_x = \dfrac{-x}{\sqrt{16-x^2 -y^2}}[/tex]
Similarly;
[tex]Z_y = \dfrac{-y}{\sqrt{16-x^2 -y^2}}[/tex]
∴
[tex]dS = \sqrt{1 + Z_x^2 +Z_y^2} \ \ . dA[/tex]
[tex]=\sqrt{1 + \dfrac{x^2}{16-x^2-y^2} + \dfrac{y^2}{16-x^2-y^2} }\ \ .dA[/tex]
[tex]=\sqrt{ \dfrac{16}{16-x^2-y^2} }\ \ .dA[/tex]
[tex]=\dfrac{4}{\sqrt{ 16-x^2-y^2} }\ \ .dA[/tex]
Now; the region R = x² + y² = 12
Let;
x = rcosθ = x; x varies from 0 to 2π
y = rsinθ = y; y varies from 0 to [tex]\sqrt{12}[/tex]
dA = rdrdθ
∴
The surface area [tex]S = \int \limits _R \int \ dS[/tex]
[tex]= \int \limits _R\int \ \dfrac{4}{\sqrt{ 16-x^2 -y^2} } \ dA[/tex]
[tex]= \int \limits^{2 \pi}_{0} } \int^{\sqrt{12}}_{0} \dfrac{4}{\sqrt{16-r^2}} \ \ rdrd \theta[/tex]
[tex]= 2 \pi \int^{\sqrt{12}}_{0} \ \dfrac{4r}{\sqrt{16-r^2}}\ dr[/tex]
[tex]= 2 \pi \times 4 \Bigg [ \dfrac{\sqrt{16-r^2}}{\dfrac{1}{2}(-2)} \Bigg]^{\sqrt{12}}_{0}[/tex]
[tex]= 8\pi ( - \sqrt{4} + \sqrt{16})[/tex]
= 8π ( -2 + 4)
= 8π(2)
= 16π
In a sample of 41 water specimens taken from a construction site, 23 contained detectable levels of lead.
A 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is 0.409
Answer:
drippy pen iss
Step-by-step explanation:
PLEASE HELP :( WILL GIVE bRAINLIEST
Answer: im gonna say D srry if it wrong
Step-by-step explanation:
Answer:
answer is b because water evaporates
Solve the following equation for x.
−13−4x−13x=−14+15x
Answer:
x = 0.84375
Step-by-step explanation:
-13 - 4x - 13x = 14 + 15x
-13 - 17x = 14 + 15x
-13 - 17x + 17x = 14 + 15x + 17x
-13 = 14 + 32x
-13 - 14 = 32x
-27 = 32x
-27 / -32 = 32x / 32
0.84375 = x
Hope this helps!
4x−3y=8
4x−y=−8
work out x and y
Answer:
y = -8
x = -4
okay i hope you got it
Helppp me pleaseeeeeee
Answer:
where is ur question bro?
Answer:
what is your doubt
question??
The area of the triangle below is 33.12 square inches. What is the length of the base?
Answer:
Step-by-step explanation:
12.72
abraham has 16 blue marbles and 18 rwd marbles. if he wamts to place them in identical groups without any marbles left over
Answer:
If Abraham divides them into 2 separate groups, he should have 17 marbles on each group.
Step-by-step explanation:
Elton played in a four day golf tournament using the table below what is his final score for the tournament
Answer:
sshbsjbssbjssjnsjs
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
-6-3+2-1=-8
Help please with number 11
Answer:
No
Step-by-step explanation:
The triangles are not similar since triangle B has an angle (18 cm) that does not correspond to 10, unlike the other angles which you can get by multiplying 3/2.
The answer Is A. 6cm,8cm,10cm
Help me please, thanks.
-Tornado
Answer:
[tex]x = - \frac{25}{3} [/tex]
Step-by-step explanation:
[tex] \frac{10}{3} = \frac{x}{( - \frac{5}{2}) } [/tex]
i) simplify the complex fraction[tex] \frac{10}{3} = - \frac{2x}{5} [/tex]
ii) simplify the equation using cross multiplication[tex]5(10) = - 2x(3)[/tex]
[tex]50 = - 6x[/tex]
iii) swap the sides of the equation[tex] - 6x = 50[/tex]
iv) divide both sides of the equation by -6[tex] \frac{ - 6x}{ - 6} = \frac{50}{ - 6} [/tex]
[tex]x = - \frac{50}{6} [/tex]
v) simplify the fraction[tex]x = - \frac{25}{3} [/tex]
Help plz:)))I’ll mark u Brainliest
Answer:
Step-by-step explanation:
b/c they are similar triangles and b/c you know one has an angle of 59 and the other has an angle of 75 that they both have those angels.. and that the total is 180
they are asking what is angle S .. that looks like it's the same one as angle P on the other triangle so ...
S= 59°
A triangle has side lengths of 6, 8 and 10. Which side lengths could be possible in a similar triangle
A) 3,4, and 7
B) 13.2, 17.6, and 22
C)9,15, and 16
D) 1.2, 1.6, and 2.5
pls help asap no trolls!!
Answer:
w= 1
x = 6
Step-by-step explanation:
Congruent Triangles
When two triangles are determined to be congruent, their side lengths and angles have the same measure.
We are given the condition that triangles FGH and ABC are congruent. This implies that sides FH and AC have the same measure, or, equivalently:
x + 12 = 18
Solving:
x = 18 - 12 = 6
x = 6
Similarly, sides HG and CB have the same length, thus:
w + 45 = 46
Solving:
w = 46 - 45 = 1
w= 1
determine the number of terms in each algebraic expression (6a+9)-7b
Answer:
3
Step-by-step explanation:
(6a+9)-7b
There are 3 terms
Answer:
There are three terms, which means it is trinomial expression.
the first term is 6a
the second term is 9 and
the third term is -7b
I don’t understand pls help
Answer:
one solution is the correct answer
Factor the trinomial
x^2+12x+6^2
Answer:
(x+6)(x+6) or (x+6)^2
Step-by-step explanation:
factors of 36 that add up to 12 = 6
so (x+6)(x+6)
(can I get brainliest please)