Step-by-step explanation:
f(-1) = 4(2)^-1 ≈ 4 × 1/2 = 2
(x, f(x)) = (-1, 2)
f(0) = 4(2)⁰ = 4×1 = 4
(x, f(x)) = (0, 4)
f(1) = 4(2)¹ = 4×2 = 8
(x, f(x)) = (1, 8)
f(2) = 4(2)² = 4×4 = 16
(x, f(x)) = (2, 16)
What is the surface area of this figure? Enter your answer in the box.
Answer:
915
Step-by-step explanation:
V=l*w*h V=1/2*b*h*l
V of the rectangular block: 15*5*8 = 600
V of the triangular prism--it's easiest to solve half of it, then just multiply that answer by 2: 1/2*5*7*9 = 157.5
When you double it, it cancels out the 1/2
157.5*2=315
315+600=915
It's 582ft I have noclue what dude is talking about
Step-by-step explanation:
A cylinder and cone have the same height and radius. What is the volume of the cylinder if the volume of the cone is 45 cm^2
If two people answer, the one with the work shown gets Brainliest.
(I must have 2 people respond to give someone a Brainliest)
The volume of the cylinder with the same radius and height as the cone is: 135 cm³.
What is the Volume of a Cylinder?Volume of a cone is given as, V = 1/3πr²hVolume of a cylinder = πr²hRelating both volumes, we would have:
Volume of a cylinder = 3(volume of a cone), if they both have equal height and radius.
Given that a cone and a cylinder have the same radius (r) and the same height (h), and the cone has a volume of 45 cm³, therefore:
Volume of the Cylinder = 3(45)
Volume of the Cylinder = 135 cm³.
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7 + -2.9 step by step explanation and a answer plsss help!
+ - makes a minus
+ + make a plus
-- makes a plus
7.0 - 2.9 = 4.1
Hope this helps!
If mMVUW=(4x+6)° and mWUT=(6x+10)°, what is the measure of WUT
As ray UW bisects ( divides the angles into two equal parts )
WUT = WUV
6x - 10° = 4x + 6°
6x - 4x = 6° + 10°
2x = 16°
x = 16° ÷ 2 = 8°
Putting the value of x in the Angle WUT
6 × 8° - 10° = 48° - 10° = 38°
The hypotenuse of a right triangle measures 4 cm and one of its legs measures 3 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.
What is the Pythagorean Theorem?In a right triangle, where the lengths of its two legs are a and b, and the hypotenuse length is c, the Pythagorean theorem states that: c² = a² + b².
Given the following parameters of the right triangle:
c = 4 cma = 3 cmb = ? (other leg)Apply the Pythagorean theorem:
b = √(4² - 3²)
b = 2.6 cm (nearest tenth)
Thus, applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.
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help :(
“x is less than -3”
- The inequality translated in numerical form
- The solution in interval notation
Answer:
-2x
Step-by-step explanation:
x-(-3)
-2x
answer will be -2x ok follow me
You deposit $2500 into an account that pays
3.5% annual interest compounded daily. How long will it take for the
balance to reach $3000
now, this is assuming there are 365 days in 1 year, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$3000\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years \end{cases}[/tex]
[tex]3000=2500\left(1+\frac{0.035}{365}\right)^{365\cdot t}\implies \cfrac{3000}{2500}=\left(1+\frac{0.035}{365}\right)^{365t} \\\\\\ \cfrac{6}{5}=\left(1+\frac{0.035}{365}\right)^{365t}\implies \cfrac{6}{5}=\left(\cfrac{73007}{73000}\right)^{365t}[/tex]
[tex]\log\left( \cfrac{6}{5} \right)=\log\left[ \left(\cfrac{73007}{73000}\right)^{365t} \right]\implies \log\left( \cfrac{6}{5} \right)=t\log\left[ \left(\cfrac{73007}{73000}\right)^{365} \right] \\\\\\ \cfrac{~~ \log\left( \frac{6}{5} \right)~~}{\log\left[ \left(\frac{73007}{73000}\right)^{365} \right]}=t\implies 5.21\approx t\qquad \textit{about 5 years, 2 months and a half}[/tex]
Given that
logaN - logax = 3/2
express x in terms of a and N, giving your answer in a form not involving logarithms.
Answer:
N/a^3/2
Step-by-step explanation:
loga(N/X)=3/2
N/X= a^3/2
X= N/a^3/2
Step-by-step explanation:
When subtracting logarithms with the same base, it is equivalent to combining them into one logarithm, then dividing the arguments inside:
[tex] log_{a}(n) - log_{a}(x) = log_{a}( \frac{n}{x} ) [/tex]
Then use the formula:
[tex] log_{a}( \frac{n}{x} ) = \frac{3}{2} [/tex]
[tex]{a}^{ \frac{3}{2} } = \frac{n}{x} [/tex]
[tex]x = n {a}^{ - \frac{3}{2} } [/tex]
I NEED THIS IN 10 MINUTES
Answer:
I believe the answer is C, the area of a circle, because pi is irrational, and anything multiplied by it will always result in an irrational number.
Step-by-step explanation:
I hope this helps and please mark me as brainliest!
y=4x+3 system of equations
Step-by-step explanation:
y=4x + 3
it should have another one
triangle ABC has vertices as points (-1,6), (-3,2), and (-9,5). what shape does this create
a) equilateral triangle
b) right triangle
c) isosceles triangle
Answer: b
Step-by-step explanation:
Graphing the triangle, we can see that it will be right.
the maximum value of 4x - 6 is 54
Answer:
x=15
Step-by-step explanation:
1. Solve
4x-6=54
4x-6+6=54+6 <=== Add 6 to both sides
4x=60
4x÷4=60÷4 <=== divide by 4 on both sides
x=15
2. Check
4x15-6=54 <=== Replace x with 15 to check
60-6=54 <=== 4x15 equals 60
54=54 <=== 60-6 equals 54 and 54=54
so it is correct!!
What are the domain, range, and asymptote of h(x) = (1.4)x + 5?
domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
domain: {x | x > 5}; range: {y | y is a real number}; asymptote: y = 5
domain: {x | x > –5}; range: {y | y is a real number}; asymptote: y = –5
domain: {x | x is a real number}; range: {y | y > –5}; asymptote: y = –5
Answer:
The answer is
→ A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
Step-by-step explanation:
For every real x, (1.4)x is always positive, therefore the range would be y > 0, but (1.4)x + 5 adds 5 to every integer in the original range. This suggests that the real range is y | y > 5, or all positive values bigger than 5.
This is the sole choice for the range that A has, therefore, it should. (The other two characteristics hold true, as can be any real integer and lim h(x) = 5 x, implying that y = 5 is a horizontal asymptote of h(x).)
Therefore, A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5 is your answer.
Hope this helped! :^)
⭐Brainliest will be appreciated!⭐
✉️Message me if you have any more questions!✉️
- ✨7272033Alt✨
Submitted on 4/20/2022 at 1:37 PM
(To avoid plagarism, by users whom decide to copy.)
Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5. Option A is correct.
The given function is [tex]h(x)=1.4^x+5[/tex].
The domain of a function is the set of all valid inputs (x-values) for which the function is defined.
In this case, there are no restrictions on the base (1.4) raised to any real exponent, and thus, the domain includes all real numbers.
Therefore, Domain: {x | x is a real number}
The range of a function is the set of all possible output (y-values) that the function can produce.
In this case, the base (1.4) raised to any real exponent will always be positive, and when you add 5 to a positive number, you get values greater than 5.
Hence, the range consists of all real numbers greater than 5.
Therefore, Range: {y | y > 5}.
An asymptote is a line that a function approaches but never crosses.
For this exponential function, there are no vertical asymptotes since it is defined for all real numbers.
However, there is a horizontal asymptote. As the value of x approaches negative or positive infinity, the function h(x) will approach 5.
Therefore, Asymptote is y = 5.
Hence, option A is correct, domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5.
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Which inequality does this graph show? LOOK AR PIC PLS ANSWER FAST
Answer:
D.
Step-by-step explanation:
1) if the points (1;-1) and (4;0) belong to the line, then
2) the equation of this line is 3y-x=-4;
3) the inequality is 3y-x≤-4.
Which equation represents the line shown in the graph below
Answer:
b: y = 2x + 5
Step-by-step explanation:
you can find this out by first looking at what the slope is
the slope is rise over run which is 2
then you can see that the y intercept is 5
y = 2x + 5
1. Two numbers have a product of 12 but their sum is -7 what are the numbers.
2. The sum of two numbers is 1 but their product is -30 what are the numbers.
Answer:
1. (-3) and (-4)
2. (-5) and 6; vise versa
Answer:
Step-by-step explanation:
hello :
1)Two numbers have a product of 12 but their sum is -7 :
means : xy=12 ....(*)
x+y = -7 ....(**)
solve this system : use (**) you have x = -y-7 put this value in (*)
so : (-y-7)y = 12
-y²-7y-12 = 0
y² +7y+12=0 a=1 b=7 and c= 12
the discriminant delta =b²-4ac delta = 7²-4(1)(12) = 1
y1 = (-7-1)/2 = -4 and y2 = (-7+1)/2 =-3
but x= -7-y
if :y = - 4 x= -7-(-4) =-3
if : y=-3 x = -7-(-3) =-4
2) same method : xy=-30
x+y=1
Hello everyone i need help with the following question?
If x=3 and y=67
what is 6x × 8y + 27x - 6y + 3=
Answer:
9330
Step-by-step explanation:
6x × 8y + 27x - 6y + 3 = 18 × 536 + 81 - 402 + 3 =
9330
Answer:
The answer is 9330
Hope it helps
✧GHOSTOFSPARTA✧
What are the coordinates of point B on AC such as that ratio of AB to BC is 5:1?
Answer:
Lines can be divided in smaller segments by using ratios
The coordinates of B are:
The given parameters are:
The coordinate of B is calculated using:
So, we have:
Simplify fraction
Hence, the coordinates of B are:
Step-by-step explanation:
How many pieces of tape measuring 2/3 meter can be cut from a roll of tape that measures 5 1/3 meters
how many pieces of tape can be cutted.
solution:[tex]5 \frac{1}{3} \div \frac{2}{3} [/tex]
[tex] = (5 + 0) + ( \frac{1}{3} + \frac{2}{3} )[/tex]
[tex] = 5 + \frac{1 + 2}{3} [/tex]
[tex] = 5 + \frac{3}{3} [/tex]
[tex] = 5 + \frac{3 \div 3}{3 \div 3} [/tex]
[tex] = 5 + \frac{1}{1} [/tex]
[tex] = 6[/tex]
therefore, 6 pieces of tape can be cutted.
How to find out what percent a fraction is to another fraction?
For example: 3/8 is _% of 3/4
Please do number 4. Thanks
Answer:
C because he has to interview every student in his class to collect data
Paul bought 4 DVDs for $9.95 each. What was his total cost?
A.$39.90
B.$40.80
C.$39.80
D.$38.80
please help me answer this
Answer:
1,080
Step-by-step explanation:
Multiply the different amounts of customizations to get all the possibilities 3 sizes × 4 choices of crust is 12 possibilities,
12 possibilities × 3 choices of sauce is 36 possibilities,
36 possibilities × 3 choices of cheese is 108 possibilities,
108 possibilities × 10 different toppings is 1,080 possibilities.
solve this nonlinear system of equations.
y=-x^2+6x-5
y=3
step 1: use substitution to combine the equations. Rewrite so that one side is equal to zero.
step 2: factor the equation
step 3: identify the x-values of the solutions.
step 4: identify the solutions to the system.
Answer:
1. [tex]x^2-6x+8=0[/tex]
2. [tex](x-4)(x-2)=0[/tex]
3. [tex]x=4 \text{ and } x=2[/tex]
4. [tex]x=4 \text{ and } x=2[/tex]
Step-by-step explanation:
1. When using substitution all we do would be is substituse the y for a 3.
This leaves us with the equation:
[tex]3=-x^2+6x-5[/tex]
Rewriting it we get:
[tex]0=-x^2+6x-8[/tex]
or if we shift the 0 to the other side:
[tex]x^2-6x+8=0[/tex]
2. In order to factor the equation we can use the butterfly method:
[tex]\left[\begin{array}{ccc}1&-4\\1&-2\end{array}\right][/tex]
So it factors out to:
[tex](x-4)(x-2)=0[/tex]
You can also use the quadratic formula.
3. To find the solutions we just set each factor to 0
[tex]x-4=0\\\text{and}\\x-2=0[/tex]
So the x-values would be:
[tex]x=4 \text{ and } x=2[/tex]
4. To find the solution to the system we just plug in the values and it turns out to be the same numbers as before.
A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters.
What is the volume, In cubic centimeters, of the cereal box?
Answer:
You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.
Step-by-step explanation:You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.
hello i have a question: when youre doing mean median range and mode, if you get the number 10.33 as the mean for example, do you round it to 10.30 or 10? or keep it as 10.33?? please help ty
Answer:
It depends on the question! You should look at the other values of the data and see what they are rounded to and apply it for the mean too. If not, I normally round it to 3 significant figures.
I need helpppppppppppp
Jermaine plots the points (0, 0) and (4, 11) on a graph to represent a proportional relationship. Which of the following equations represents the relationship between the x and y-values?
The proportional relationship between (0,0) and (4,11) represents a direct variation
The equation that represents the graph is y = 11x/4
How to determine the equation of the graph?The points on the graph are given as:
(x,y) = (0,0) and (4,11)
The equation of the graph is then calculated using:
y = (y₁/x₁) * x
This gives
y = (11/4) * x
Evaluate
y = 11x/4
Hence, the equation that represents the graph is y = 11x/4
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2-root3/root3. Rationalize the following equation
Answer:
-1/3
Step-by-step explanation:
Multiply by root 3 on the top and bottom. Root 3 times root 3 is 3. 2-3 is -1.
Which expressions are equivalent to the one below? Check all that apply. 3^4 * 3^x
A. 3^4 -x
B. 9^4x
C. 81*3^x
D. (3*x)^4
E. 3^4x
F. 3^4+x
Answer:
F, 3^4+x
Step-by-step explanation:
You just have to add the powers together but not the actual base, you keep it as it is