What is the solution to the equation below. 12 + square root 1 - 4x = 15
Answer:
C) x = -2
Step-by-step explanation:
Original equation:
[tex]12+\sqrt{1-4x}=15\\[/tex]
subtract 12 from both sides:
[tex]\implies \sqrt{1-4x}=3[/tex]
square both sides:
[tex]\implies 1-4x=9[/tex]
subtract 1 from both sides:
[tex]\implies -4x=8[/tex]
divide both sides by -4:
[tex]\implies x=-2[/tex]
[tex]\\ \tt\rightarrowtail 12+\sqrt{1-4x}=15[/tex]
[tex]\\ \tt\rightarrowtail \sqrt{1-4x}=3[/tex]
[tex]\\ \tt\rightarrowtail 1-4x=3^2[/tex]
[tex]\\ \tt\rightarrowtail 1-4x=9[/tex]
[tex]\\ \tt\rightarrowtail -4x=8[/tex]
[tex]\\ \tt\rightarrowtail x=-2[/tex]
A parachutist's elevation changes by - 135 ft in 15 seconds. What is the change in the parachutist's elevation each second?
Her elevation changes ? Feet each second
[tex]\tt =\dfrac{135}{15}=9\:ft/s[/tex]
Can someone please help me with this?
Answer:
Between 8 and 9
Step-by-step explanation:
We know that the equation for the volume of a cone is V = 1/3(pi)r^2h
So,
V = 1/3(pi)r^2h
150pi = 1/3(pi) r^2 h --> the pi's cancel out and then we are left with...
3(150) / h = r^2
Plug in values and simplify --> r = sqrt.(450/6) and you end up getting 8.66025403784.
Hope that helps!
What’s the correct answer for this question? Any help is appreciated
Answer:
Step-by-step explanation:
$5.79 for 8 quarts
[tex]\frac{5.79}{8}[/tex] = 0.72375 ≈ 0.72 dollar per quart
[tex]\frac{8}{5.79}[/tex] ≈ 1.38 quarts per dollar
If f(x) is an exponential function where f(-2.5) = 1 and f(3.5) = 15, then find the value of f(-1.5), to the nearest hundredth.
Answer:
1.57
Step-by-step explanation:
How many grams are there in 4 kilograms
f(x)=x^2-x+3 what is f(4)
Answer:
15
Step-by-step explanation:
In the function f(x), x is the variable. So, whatever is in the parentheses, replacing x, should replace x throughout the entire function. So, to find f(4) simply plug in 4 for x.
First, rewrite the function with 4 as xf(4) = 4^2 - 4 + 3
Next, combine like termsf(4) = 4^2 - 1
Then, raise 4 to the power of 2f(4) = 16 - 1
Finally, subtractf(4) = 15
Answer:
f(4) = 15
Step-by-step explanation:
Substitute 4 for x and solve for f(4).
[tex]f(x)=x^2-x+3\\f(4)=(4)^2-4+3\\f(4)=16-4+3\\f(4)=15[/tex]
Here are six number cards.
-5 -2 -3 2 0-1
Arrange the cards into three pars with the same total
Answer:
-5 and 2
-5 and 2-3 and 0
-5 and 2-3 and 0-2 and - 1
(When you add them you'll get - 3)
Hope this helps!
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Which statement is true about 68 and 112?
A. 68 is greater than 112 because the benchmark 0 is closer to 68 than it is to 112.
B. 68 is less than 112 because 68 is less than the benchmark 12, and 112 is greater than the benchmark 12.
C. 68 is less than 112 because benchmark 1 is closer to 68 than it is to 112.
D.68 is greater than 112 because 68 is greater than the benchmark 12, and 112 is less than the benchmark 12.
Answer:
D.68 is greater than 112 because 68 is greater than the benchmark 12, and 112 is less than the benchmark 12.
How do I figure out the area and perimeter of these shapes and how do you figure out the unknown side? Q9
how many 2/5 are in 4?
Answer:
10
For this case what we must do is a division using the following relationship:
Substituting values we have:
Rewriting the fraction we have:
Simplifying we have:
Answer:
The number of times repeated 2/5 for 4 is:
10
Answers for these? If anyone can do my last 5 credits of geometry let me know I can pay you, just never been good at geometry
Step-by-step explanation:
F = 9(11) + 19 [ z = 11]
= (9 × 11) + 19
= 99 + 19
= 118
H = 11(11) - 3 [z = 11]
= 11 ×11 - 3
= 121 - 3
= 118
Answer:
Angle F and H are equal, and Angle E and G are equal. EFGH is a parallelogram because opposite angles are congruent.
Step-by-step explanation:
Step 1:
Insert z=11 into (9z+19), angle F, and (11z-3), Angle H, to find the angle lengths.
9(11)+19=118
11(11)-3=118
We see that they are the same angles! In step 2, we see the same thing happen. Note that the definition of parallelograms is that opposite sides and angles are equal.
Sentence completion: Angle F and H are equal (We see that in step 1), and Angle E and G are equal (Shown in step 2, which is done for you.) EFGH is a parallelogram because opposite angles are congruent. Hope this helps!
If I have a candy bar divided into 6 equal parts, and I eat 2 of the parts, what fraction of the candy bar did I eat?
Answer:
2/6 or 1/3
Step-by-step explanation:
Nothing it is just basic mathematics
Fraction form
[tex]\\ \tt\rightarrowtail \dfrac{2}{6}[/tex]
[tex]\\ \tt\rightarrowtail \dfrac{1}{3}[/tex]
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help
The given measure of the angle in standard form, -17•π/6, gives;
A. The terminal side of the angle, -17•π/6 is located in the third quadrant
B. The reference angle is 150°
C. The values of the six trigonometric functions are;
cos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = √3What are trigonometric ratios?Trigonometric ratios relates an angle to the ratio of the sides of a right triangle containing the angle.
A. The given measure of the angle is -17•π/6
2•π radians = 360°
π radians = 180°
-17•π/6 = -(2+(5/6))•π
Therefore, the terminal side makes one complete revolution clockwise starting from the x–axis, it then makes a further -(5/6)•π, clockwise, which is -(5/6)×180° = -150°
The terminal side therefore moving clockwise, passes the fourth quadrant and stops at the third quadrant at -150°, which is equivalent to 210° clockwise rotation from the x–axis
The terminal side is in the third quadrantB. The reference angle is the acute angle between the terminal side and the x–axis
Therefore;
The reference angle is 150°C. The six trigonometric functions are;
cosine, sine, tangent, cotangent, secant, and cosecant
cos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2/(√3) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = 3/(√3) = 3•√3/3 = √3Learn more about trigonometric ratios here:
https://brainly.com/question/11967894
#SPJ1
Answer: I hope this helpful
Step-by-step explanation:
The given measure of the angle in standard form, -17•π/6, gives;A. The terminal side of the angle, -17•π/6 is located in the third quadrantB. The reference angle is 150°C. The values of the six trigonometric functions are;cos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = √3What are trigonometric ratios?Trigonometric ratios relates an angle to the ratio of the sides of a right triangle containing the angle.A. The given measure of the angle is -17•π/62•π radians = 360°π radians = 180°-17•π/6 = -(2+(5/6))•πTherefore, the terminal side makes one complete revolution clockwise starting from the x–axis, it then makes a further -(5/6)•π, clockwise, which is -(5/6)×180° = -150°The terminal side therefore moving clockwise, passes the fourth quadrant and stops at the third quadrant at -150°, which is equivalent to 210° clockwise rotation from the x–axisThe terminal side is in the third quadrant B. The reference angle is the acute angle between the terminal side and the x–axisTherefore;The reference angle is 150°C. The six trigonometric functions are;cosine, sine, tangent, cotangent, secant, and cosecantcos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2/(√3) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = 3/(√3) = 3•√3/3 = √3Learn more about trigonometric ratios here:brainly.com/question/11967894#SPJ1Explore all similar answersTHANKS 25.0(3 votes)Need a bit more clarification? Get a high-quality answer with step-by-step explanations from a professional in just minutes instead!GET A VERIFIED ANSWERAdvertisementStill have questions?FIND MORE ANSWERSReady to dive into rabbit hole and unlock a badge.ASK YOUR QUESTIONHelp others with Mathematics questions+1 NEW QUESTION6 minutes agoFirst questionA regular hexagon and a regular pentagon have the same perimeter. All measurements are given in centimetres. The hexagon has a side length given by 7m +3. The pentagon has a side length given by 8m + 6. Work out the value of m.ADD ANSWER+5017 minutes ago(y)/(a)-b=(y)/(b)-a if a is not equal to bADD ANSWER+523 minutes agoFirst questionProducts A and B are made according to the bill of materials diagram shown below. Scheduled quantities of the end products are, for A, 95 units in week 4, 150 units in week 6, and 130 units in week 8, and for B, 80 units in week 3, 70 units in week 6. Lead-times: A = 2 weeks, B = 1 week.ADD ANSWER+524 minutes agoFind the compound interest earned by the deposit. Round to the nearest cent. 1) $3000 at 5% compounded semiannually for 6 years 2) $700 at 8% compounded quarterly for 5 yearsADD ANSWER+725 minutes agoFind the simple interest and the final value of the deposit that earns the given rate for the indicated length of time. Round your answers to the nearest cent. $6282 earning 9% for 9 monthsADD ANSWER+5LOAD MOREPreviousNext
Two brothers, Charles and Brian,each inherit $30000. Charles invests his inheritance ina a savings account with an annual return of 2.5 %, while Brian invest his inheritance ina CD paying 6.2% annually. How much more money than Charles does Brian have after 1 year?
Answer:
$1,110
Step-by-step explanation:
You have to use the interest formula to calculate how much each brother will have after a year.
A = P(1+r)^t
A = future/ending value
P = principle
R = interest rate
T = time (given in years)
Charles = 30,000(1+.025)^1 = 30,750
Brian = 30,000(1+.062)^1 =31,860
31,860-30,750=1,110
Brian will have $1,110 more than Charles after 1 year
i need assistance on This Math problem no links or I will report you
Answer:
B 26 < 30
Step-by-step explanation:
30 is greater than 26, and this is the only statement that is correct.
What is the median movie ticket price?
F. $4.25
G. $4.75
H. $5.00
J. 5.50
Answer:
About $4.88.
Step-by-step explanation:
4 5/6 subtracted by 2 2/6
Answer:
41/12
Step-by-step explanation:
Answer:
2 1/2 (or 2 3/6)
Step-by-step explanation:
[tex]\frac{Numerator}{Denominator}[/tex]
both denominators are the same so you can just subtract 2 from 4 and also the numerators which are 2 and 5.
4 - 2 = 2
5/6 - 2/6 = 3/6
so the answer is 2 3/6 which simplifies to 2 1/2
Suppose a company has fixed costs of $42,000 and variable cost per unit of 4/9x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1861 − 5/9x dollars per unit.
(a) Find the break-even points. (Enter your answers as a comma-separated list.)
(b) Find the maximum revenue. (Round your answer to the nearest cent.)
(c) Form the profit function P(x) from the cost and revenue functions. Find maximum profit.
(d) What price will maximize the profit? (Round your answer to the nearest cent.) $
Answer:
C
Step-by-step explanation:
Because if you can read the whole thing u can find what you need to find
Which combination of transformations can you use to show that one shape is congruent to another?
ОА.
dilations and reflections
OB.
reflections and stretches
Ос.
rotations and translations
OD.
reflections, dilations, and translations
ОЕ.
rotations, translations, and dilations
Answer: I believe is is C, rotations and translations
Step-by-step explanation:
This is because a congruent figure is one that has the same side lengths and angle measures.
Stretches and dilations are non-rigid transformations which change the length of the sides of a shape. While rotations, transformations, and reflections are rigid transformations which preserve angle measure and side length.
So, while a shape can be similar using stretches and dilations, they cannot be congruent.
Suppose the equation 28 = x•4 in the Example is written in the form 4x = 28.
Is 7 still a solution? Explain.
Answer:
Divide each term in
4
x
=
28
by
4
.
4
x
4
=
28
4
Cancel the common factor of
4
.
Tap for more steps...
x
=
28
4
Divide
28
by
4
.
x
=
7
Step-by-step explanation:
hope it helps you
y=-x+4
y=x-4
the picture gives instructions
Answer:
This equation has No Solutions.
Step-by-step explanation:
It is parrel because it has the same x. When equations have the same x it is always parrel or it always has no solutions.
I hope it helps! Have a great day!
Lilac~
The solution to the system of equation is (4, 0)
System of equationGiven the system of equation expressed as:
y=-x+4
y=x-4
Equate both expressions to have;
-x + 4 = x - 4
collect the like terms
-x - x = -4- -4
-2x = -8
x = 4
Since y = x - 4
y = 4-4
y = 0
Hence the solution to the system of equation is (4, 0)
Learn more on system of equations here: https://brainly.com/question/14323743
• Jami and Mami together had $32. Jami
said, "If you give me $5, we'll have the
same amount." How much did each
one have?
Answer:
Jami has $13.5
Mami has $18.5
Step-by-step explanation:
Let j = Jami's money
m - Mami's money
j + m = 32
j = m - 5 (Since Jami basically has 5 less than Mami)
Substitute the j in the top equation
m - 5 + m = 32
2m - 5 = 32
Add 5 to both sides
2m - 5 = 32
2m = 37
Divide both sides by 2
2m/2 = 37/2
m = 37/2 = 18.5
Now plug the new m into the bottom equation
j = 18.5 - 5
j = 13.5
If the polygon is translated 2 units down and 4 units left what will the coordinates of the new image be? Use prime notation in expressing the new coordinate
Answer:
A’ is (3,-3)
B’ is (-1,-4)
C’ is (-1,2)
D’ is (3,1)
Step-by-step explanation: i forgot how i did this but i did it last week in math or somthing sorry if its wrong it was right for me
ANSWER it please Math.Help. Give Explanation on how you did it, too, because my brain needs to know
[tex]\boxed{y}=\cfrac{1}{2}x-4\\\\ y=-2x+1 \end{cases}\qquad \qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\boxed{y}}{\cfrac{1}{2}x-4}~~ = ~~-2x+1} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{1}{2}x-4 \right)~~ = ~~2(-2x+1)}\implies x-8=-4x+2\implies 5x-8=2[/tex]
[tex]5x=10\implies x=\cfrac{10}{5}\implies \blacktriangleright x=2 \blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{y==\cfrac{1}{2}x-4}\implies y=\cfrac{1}{2}(2)-4\implies \blacktriangleright y = -3 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (2~~,~~-3)~\hfill[/tex]
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Introduction - Surface Area of Composite Figures
Peacing
Acellus
Find the surface area of the composite figure.
ch
5
3 in.
11 in.
3 in.
3 in.
Help Resources
6 in
6 in.
11 in.
8 in.
SA
[?] in.2
If you'd like
you can use a
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Enter
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solve for x. -1 = x/2 + 7
Answer:
x = -16
Step-by-step explanation:
a box of dog biscuits biscuits has 18 biscuits a box cost $2.88 how much does one biscuit cost
Answer:
0.16
Step-by-step explanation:
2.88 divided by 18 = .16
Answer:
0.16
Step-by-step explanation:
2.88/18 = 0.16
because you divide the total cost of the box of dog biscuits with the total amount of biscuits that are in the box and then that gives you 0.16.
So each dog biscuit cost $ 0.16
A stick 1 meter long casts a shadow 1.4 meters long. A building casts a shadow 21 meters long. How tall is the building (to 2 decimal places)
Step-by-step explanation:
similar triangles.
all angles are the same in both triangles.
and the ratio of the lengths of a pair of corresponding sides in both triangles is the same for all corresponding side pairs.
so,
21 / 1.4 = height / 1 = height = 15
the building is 15.00 meters tall.