Answer:
The answer is the option A.
x=(5±)/4
Step-by-step explanation:
The quadratic formula has the following form for a quadratic equation ax²+bx+c:
x=(-b±))/(2a)
We apply the quadratic formula and we obtain:
x=(-(-5)±))/(2(2))
x=(-(-5)±))/(4)
x=(-(-5)±))/(4)
brainliest pls
4. A team of scientists is digging for fossils. The
amount of soil in cubic feet that they remove is
equal to 6. How many cubic feet of soil do the
scientists remove?
mower
If it's not 6 cubic feet (because by the wording the answer is given).
If one dimension of the amount of soil they remove is 6, then you have to do 6*6*6= 216
If the total amount of soil removed is 6 cubic feet, then the dimensions of the cube would be [tex]\sqrt[3]{6}[/tex]
solve the trigonometric function
tan∅ × sin∅ × cos∅ + cos2∅
Answer:
cos²Θ
Step-by-step explanation:
simplify the expression using the identities
tanΘ = [tex]\frac{sin0}{cos0}[/tex]
cos2Θ = 1 - 2sin²Θ
cos²Θ = 1 - sin²Θ
then
tanΘ × sinΘ × cosΘ + cos2Θ
= [tex]\frac{sin0}{cos0}[/tex] × sinΘ × cosΘ + 1 - 2sin²Θ ( cancel cosΘ on numerator/ denominator )
= sinΘ × sinΘ + 1 - 2sin²Θ
= sin²Θ + 1 - 2sin²Θ
= 1 - sin²Θ
= cos²Θ
Answer:
[tex]\cos^2(\theta)[/tex]
Step-by-step explanation:
Trig identities used:
[tex]\cos(2\theta)=\cos^2(\theta)-\sin^2(\theta)[/tex]
[tex]\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}[/tex]
Therefore,
[tex]\tan(\theta)\times\sin(\theta)\times\cos(\theta)+\cos(2\theta)[/tex]
[tex]=\dfrac{\sin(\theta)}{\cos(\theta)}\times\sin(\theta)\times\cos(\theta)+\cos(2\theta)[/tex]
[tex]=\sin^2(\theta) +\cos(2\theta)[/tex]
[tex]=\sin^2(\theta) +\cos^2(\theta)-\sin^2(\theta)[/tex]
[tex]=\cos^2(\theta)[/tex]
(06.03 MC)
Which expression shows a sum of three terms?
O 3x
O 3 + x + 3
O 3 + x
OX3
Help please
Answer:
The answer is b, which is 3+x+3
Factor h^2-17h+70=0
Help me
18. Jace has $2.15 in nickels and dimes. If he has 7 more nickels than dimes, how many of each kind of coin does he have?
There are 12 dimes and 19 nickels
The required simultaneous equationsSince Jace has $2.15 in nickels and dimes.
We know that 1 nickel = $ 0.05 and 1 dime = $0.10
Let
n = number of nickels and n' = number of dimesWe have that
0.05n + 0.10n' = 2.15 (1)
Since he has 7 more nickels than dimes, we have that
n = n' + 7 (2)
The number of dimes
Substituting equation (2) into (1), we have
0.05n + 0.10n' = 2.15 (1)
0.05(n' + 7) + 0.10n' = 2.15
0.05n' + 0.35 + 0.10n' = 2.15
0.15n' + 0.35 = 2.15
0.15n' = 2.15 - 0.35
0.15n' = 1.8
n' = 1.8/0.15
n' = 12
The number of nickels,
Since the number of nickels, n = n' + 7
Substituting n = 12 into the equation, we have
n = n' + 7
n = 12 + 7
n = 19
So, there are 12 dimes and 19 nickels
Learn more about simultaneous equations here:
https://brainly.com/question/21654746
please help! i can’t seem to find a answer to the this question.
Answer:
B (6,0) because when graphed it would make a 90° angle
Answer: (B)
Step-by-step explanation:
For the triangle formed to be a right triangle in this case, the next point has to have the same x value as one of the two points in order for it to form a right triangle.
Hope that helps!
help me with this question.
Answer:
B. 3x = 15
Step-by-step explanation:
To find out which equation is the correct one, we just have to replace x with 5 for each one.
2 + x = 3
2 + 5 = 7
Since 2 + 5 is 7, this one is incorrect.
3 x 5 = 15
3 times 5 is 15, so B is correct. Let's try out the other ones anyway.
5 / 2 = 2.5
Incorrect.
5 - 7 = -2
Incorrect.
The only correct equation was B. 3x = 15
Round 30.59 to the nearest 1 decimal place
Answer:
30.6
Step-by-step explanation:
if the decimal previous is 5 or above, round it up
if the decimal previous is 4 or below, leave it as it is
Answer:
31
Step-by-step explanation:
Because since .9 is a big number it would round up 5 into a 6 so the 6 would round up 30 into 31
Question 7: Help Me Please
Answer:
m∠UQT = 52°
m∠UTQ = 42°
x = 1
Step-by-step explanation:
∠UQT is an alternate interior angle of ∠RSQ
Therefore, ∠UQT is 52°
∠UTQ is an alternate interior angle of ∠URS
Therefore, ∠UTQ is 42°
The diagonals of a parallelogram are congruent, so 4x + 1 is 5
-Chetan K
QS is the intersector
<UQT=<QSR(Alternative interior angles)=52°Similarly
<UTQ=<URS=42°Now
Diagonals of parallelogram bisect eachother
[tex]\\ \rm\Rrightarrow 4x+1=5[/tex]
[tex]\\ \rm\Rrightarrow 4x=4[/tex]
[tex]\\ \rm\Rrightarrow x=1[/tex]
- i need a help ......
Answer:
magnitude of D = 36⁰
magnitude of E = 72⁰
magnitude of F = 72⁰
Is -11 greater or less than 0
Answer:
less than.
Step-by-step explanation:
Any negative number is less than 0
If you jump rope 192 times in 6 minutes - how many times do you jump in 1 minute?
Answer:
you jump 32 times in one minute
Step-by-step explanation:
192 ÷ 6 = 32
Answer:
32 times in one minute.
Step-by-step explanation:
192/6 = 32
Write 4.83…. (The 3 repeats infinitely)as a mixed number
Answer:
[tex]4\frac56[/tex]
Step-by-step explanation:
[tex]\frac56=0.8 \dot{3}[/tex]
[tex]\implies 4.8 \dot{3}=4\frac56[/tex]
4 5/6 if you need more answers go to decimal converts fractions and you will have it on your own
have a wonderful day
Hailey lee
Complete.
A rectangular tank shown is filled with water to À of its height
Water from a tap flows into the tank at 2.5 liters a minute.
How much water is in the tank after 5 minutes?
Give your answer in liters. (1 L = 1000 cm)
Volume of water in the tank
30 cm
Х
Х
Х
3
cmº
28 cm
45 cm
Х
L
Volume of water from the tap =
=
L
Volume of water in the tank =
liters of water is in the tank after 5 minutes.
293
Lesson 15.5 Volume of a Rectangular Prism and Liquid
Answer:
50cm had a good day at work and
Triangle A"B"C"is the image of triangle ABC after a sequence of
transformations. Which sequence of transformations could have been
applied?
A. AABC is translated 2 units right, then rotated 90° clockwise about
the origin
B. AABC is translated 2 units right, then rotated 90° clockwise about
the origin
C. AABC is translated 1 unit down, then rotated 90° clockwise about
the origin
D. AABC is translated 1 unit right, then rotated 90° clockwise about
the origin
The answer is D) AABC is translated 1 unit right, then rotated 90° clockwise about the origin
Step-by-step explanation:If you follow the steps translating triangle ABC to A"B"C" and rotating it. You will get that answer. I can envision it mentally simply by following one coordinate at a time which can help me during tests and is how the translations work.
For instance if you moved the A coordinate 2 units to the right it would sit on the y axis, and when rotated 90 degrees wouldn't 1 unit above the x axis but on it. You can simply use mental math for questions like this because they are simple enough to follow where you just pick a coordinate and do the translating and dilating based on what you are given.
Sorry if it's not a mathematical explanation but it's how I usually solve these questions! Hope I could help!!
~Neo
The Sequence of Transformation that has been applied is; D. AABC is translated 1 unit right, then rotated 90° clockwise about the origin.
How to work with Translation Rotations?From triangle translation of ABC to A"B"C" and rotation of it, we can see that;
If we moved the A coordinate 2 units to the right it would sit on the y axis, but when rotated 90°, it would be 1 unit on the x axis.
Thus, applying the principe of translation and rotation we can say that AABC is translated 1 unit right, then rotated 90° clockwise about
the origin.
Read more about Translation and Rotation at; https://brainly.com/question/5612016
#SPJ5
help anyone pls? don’t quite understand
For the function f(x) = —8x + 3, determine f(—2).
Answer:
here
Step-by-step explanation:
Find the values of the coefficients b and c in the quadratic equation 3x2+bx+c if the sum and product of the roots of this equation are respectively 7/3 and 13/3.
Answer:
a = 3
b = -7
c = 13
Step-by-step explanation:
[tex]\sf{given \ equation: 3x^2+bx+c[/tex]
[tex]\sf{sum \ of \ roots :\sf\frac{7}{3}[/tex]
[tex]\sf{product \ of \ the \ roots:\frac{13}{3}[/tex]
a = 3b = bc = c[tex]\sf{sum \ of \ roots \ = -\dfrac{coefficient \of \ x}{coefficient \ of \ x^2} }[/tex]
[tex]\sf \frac{-b}{3} = \frac{7}{3}[/tex]
[tex]\sf b = \frac{-7*3}{3}[/tex]
[tex]\sf b =- 7[/tex]
[tex]\sf{product \ of \ roots \ = \dfrac{constant \ term}{coefficient \ of \ x^2} }[/tex]
[tex]\sf{\frac{c}{3} =\frac{13}{3}[/tex]
[tex]\sf c = \frac{13*3}{3}[/tex]
[tex]\sf c = 13[/tex]
Therefore found that a = 3, b = -7, c = 13
Answer:
b = -7
c = 13
Step-by-step explanation:
[tex]3x^2+bx+c[/tex]
[tex]\textsf{sum of roots}=\dfrac{-b}{a}\\\\\textsf{product of roots}=\dfrac{c}{a}[/tex]
[tex]\textsf{Given sum of roots}=\dfrac73:[/tex]
[tex]\implies \dfrac{-b}{a}=\dfrac73[/tex]
[tex]\implies a=3, b=-7[/tex]
[tex]\textsf{Given product of roots}=\dfrac{13}{3}:[/tex]
[tex]\implies \dfrac{c}{a}=\dfrac{13}{3}[/tex]
[tex]\implies a=3, c=13[/tex]
Therefore,
[tex]3x^2-7x+13[/tex]
NB: The actual calculated roots are imaginary numbers as the function [tex]f(x)=3x^2-7x+13[/tex] does not intercept the x-axis
1) A sprint runner can run 10 laps around a track in
about 15 minutes. How many minutes per lap is
that?
Answer:
so, 10 laps in 25 mins we want to make mins=1 so
10/25=2/5 times 5/5=2/5
if you multiply 2/5 by 2/2 then you get 4/10 and 4/10=0.4
the runner can run 0.4 or 2/5 lap in 1 minute
Step-by-step explanation:
it is the answer box I'm a genius
Write the fraction as a sum of unit fractions. 6/12=
Answer:
This is the answer: 1/2
Step-by-step explanation:
hope this helps
Need help please i mean i get it but dont understand it?
Answer: 19
Step-by-step explanation:
We know that [tex].\overline{6}=2/3[/tex], so [tex].0\overline{6}=2/30 = 1/15[/tex]
Meaning we have [tex]3.1+1/15 = \frac{31}{10}+\frac{1}{15}=\frac{31(3)+1(2)}{30}=\frac{95}{30}=\frac{19}{6}[/tex]
Solve
a cylinder of radius r cm and height h cm has a curved surface area A cm[tex] {}^{2} [/tex], where[tex]A = 2\pi rh.[/tex]
a) obtain a formula for h
b) find the value of h when A = 93 ,R = 2.5 and [tex]\pi[/tex]= 3.1
Answer:
(a) h = A/2πr
(b) 360.375
Step-by-step explanation:
(a) divide both sides by 2πr
h = A/2πr
(b) h= 93 / 2*3.1*2.5
= 360.375
What is the area of a rectangle whose sides are 12 feet long and 5 feet wide?
Answer:
60
Step-by-step explanation:
Area of rectangle (A)=Length (L) × Width (W)
A=12×5
A=60
Which is the least
Pleas help ?!
Answer:
0.35
Step-by-step explanation:
Answer: 12/50
Step-by-step explanation: convert all of them to decimals.
solve each proportion. 6.6/p = 9/12.15
Answer:
59.4/ 82.5 = 9/12.5
Step-by-step explanation:
6.6/p = 9/12.15
A fraction equal with another fraction, so we can cross multiply to to have a multiplication equal another multiplication.
6.6 * 12.5 = 9* p
To isolate p (our unknown) we divide both sides by 9
( 6.6 * 12.5) /9 = (9* p)/ 9
( 6.6 * 12.5) /9 = p
82.5 / 9 = p
The proportion is:
6.6/p = 9/12.15, substitute p = 82.5 / 9
6.6/(82.5/9) = 9/12.15, use that: a / (b/c) = (a/1 )*(c/b) = (a*c) / b
(6.6*9)/82.5 = 9/12.5
59.4/ 82.5 = 9 /12.5
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
W=A/3 What does A equal?
Answer:
[tex]\huge\boxed{\bf\:A = 3W}[/tex]
Step-by-step explanation:
If [tex]\sf\:W = \frac { A } { 3 }[/tex], then A = ?
At first let's shift the the term 'W' to the LHS & A/3 to the RHS to bring the equation in the standard form.
[tex]\sf\:\frac{A}{3}=W[/tex]
Now, we know that, A/3 is the same as ⅓ A. Then,
[tex]\sf\:\frac{1}{3}A=W[/tex]
By multiplting both sides by 3..
[tex]\sf\:\frac{\frac{1}{3}A}{\frac{1}{3}}=\frac{W}{\frac{1}{3}} \\\sf\: A=\frac{W}{\frac{1}{3}}[/tex]
Divide [tex]\sf\:\frac{W}{\frac{1}{3}}[/tex] by its reciprocal.
[tex]\sf\:A=\frac{W}{\frac{1}{3}} \\ \sf\:A = \frac{3W}{1}\\[/tex]
So, the value of A is [tex]\downarrow[/tex]
[tex]\boxed{\bf\:A = 3W}[/tex]
__________
Have a great day ahead!
Find each percent decrease. Round to the nearest percent.
6. From 100 ounces to 25 ounces
Answer:
-75%
Step-by-step explanation:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((25 - 100) / 100) * 100 = -75 %
If f(x) = ax + c and f(3) = f(8), then a =
Answer:
Is there any information in what the value of c is
Use cross products to solve the proportion.
14/21=a/9
Answer:
[tex]\sf\boxed{a=6}}}[/tex]
Step-by-step explanation:
Isolate the term of a from one side of the equation.
14/21=a/9
Use cross products.
[tex]\sf{14*9=21*a}[/tex]
Solve by a.
[tex]A=\dfrac{14*9}{21}=\dfrac{126}{21}=\boxed{\sf{6}}[/tex]
a=6
So, the final answer is a=6.
I hope this helps! Let me know if my answer is wrong or not.