Answer:
x = -3/2
Step-by-step explanation:
1. Cancel out log from both sides -> 16^n = 1/64
2. Log16 both sides to isolate n -> log16(16^n) = log16(1/64) -> n = log16(1/64)
log16(1/64) = -3/2
Use the formula d= rt. Find tfor r= 2.3 cm/s and d=596.39 cm.
Answer:
t = 259.3
Step-by-step explanation:
d = rt ( divide both sides by r )
[tex]\frac{d}{r}[/tex] = t ( substitute values for d and r )
[tex]\frac{596.39}{2.3}[/tex] = t , then
t = 259.3
the lengths of the sides of a triangle are in the extended ratio 7:8:9 the perimeter of the triangle is 96cm. what are the lengths of the sides?
Answer:
28 cm, 32cm , 36cm
Step-by-step explanation:
Given:
The lengths of the sides of a triangle are in the ratio 7:8:9Perimeter of triangle is 96cmTo Find:
The lengths of the sides of triangle?Solution:
Let:
1st side = 7x 2nd side = 8x 3rd side = 9xAs, we know that,
★ Perimeter of Triangle = Sum of all sides ★
➝ 7x + 8x + 9x = 96cm
➝ 24x = 96cm
➮ x = 96/24
➮ x = 4
So, length of the sides are:
7x = 7 × 4 ➝ 28cm
8x = 8 × 4 ➝ 32cm
9x = 9 × 4 ➝ 36cm
Given :
The length of the sides of the triangle are in the ratio 7:8:9 .The Perimeter of the Triangle is 96 cm.To Find :
The length of the sides of the triangle.Solution :
Let us assume the sides be 7x cm, 8x cm and 9x cm.
We know,
[tex]\qquad{ \bold{ \pmb{Sum \: of \: all \: sides \: of \: the \: triangle = Perimeter_{(Triangle)}}}}
[/tex]
So, Substituting the values :
[tex]\qquad { \dashrightarrow{ \sf{7x + 8x + 9x = 96}}}[/tex]
[tex]\qquad { \dashrightarrow{ \sf{24x= 96}}}[/tex]
[tex]\qquad { \dashrightarrow{ \sf{ \dfrac{24x}{24} = \dfrac{96}{24} }}}[/tex]
[tex]\qquad { \dashrightarrow{ \bf{ x = 4 }}}[/tex]
Therefore,
The length of the sides of the triangle are :
[tex]\qquad { \dashrightarrow{ \sf{ 7x \: cm= 7 \times 4 \: cm = \bf \: 28 \: cm }}}[/tex]
[tex]\qquad { \dashrightarrow{ \sf{ 8x \: cm= 8 \times 4 \: cm = \bf \: 32 \: cm }}}[/tex]
[tex]\qquad { \dashrightarrow{ \sf{ 9x \: cm= 9 \times 4 \: cm = \bf \: 36 \: cm }}}[/tex]
Someone pls help???????????????????????????????
Leo invests $2,000 at an interest rate of 4%, compounded quarterly.
How much is the investment worth at the end of 3 years?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2000\left(1+\frac{0.04}{4}\right)^{4\cdot 3}\implies A=2000(1.01)^{12}\implies A\approx 2253.65[/tex]
Two bicyclists are traveling along the same road. Bicyclist A's distance, d, from a certain town after h hours Given by the equation
d = 11.5h + 5
Bicyclist B's distance from the same town is shown in the graph .
Which THREE statements are TRUE?
A
B is traveling 1 mile per hour faster than A.
B
After 2 hours, A will have traveled a total of 28 miles.
С
B started from the town, while A started 5 miles from the town.
D
After 5 hours, the two bicyclists will be the same distance from the town.
E
When the two bicyclists reach the same point. A will have traveled 5 more miles than B.
The correct statement are statements B and C
Distance time graphsGiven the following equation for the distance of Bicyclist A expressed as:
d = 11.5h + 5
After 1 hour for A
d(1) = 11.5 + 5
d(1) = 16.5
For bicycle B, the distance traveled after 1 hour is 12.5 miles from the graph. Hence B is not traveling 1 mile per hour faster than A.
After 2 hours for A;
d(2) = 11.5(2) + 5
d(2) = 23 + 5 = 28 miles
Hence after 2 hours, A will have traveled a total of 28 miles.
From the graph, we can see that B started from the town (origin), and from the equation, A started from 5 miles from town (y-intercept is 5)
Hence the correct statement are statements B and C
Learn more on the distance-time graph here: https://brainly.com/question/13877898
hello people ~
Question:
The total surface area of a cylinder
= 2πrh + πr²
⤑True [_]
⤑False[_]
Answer:
False
Step-by-step explanation:
It's only 2 Pi r
Answer:
False
Step-by-step explanation:
Total Surface Area of Cylinder = 2πr(r+h)
Further if you solve it you will get
→ TSA of Cylinder = 2πr² + 2πrh
So, correct answer is False .
Some Additional Points
Volume of Cylinder = πr²hLateral Surface Area of Cylinder=2πrhwhere,
π is 22/7 or 3.14
h is height of cylinder
r is radius of cylinder
Pls help with this Find the circumference of the object. Use $3.14 or 22/7 for Pi. Round to the nearest hundredth if necessary.
Answer: Plese mark brainlest
the circumference is 12.56meters squared
Step-by-step explanation:
The just skates sporting goods store advertises that all in-line skates are on sale for 20% off the regular price. Find the sale price of a pair of skates that cost $160
Answer: $32 is the discount
Step-by-step explanation: i got it right
Answer:
128. It will take away 32$ from 160
Step-by-step explanation:
20% of 160 is 32. 160 - 32 = 128 which will be the cost of the pair of skates.
Write the reciprocal of the number.
28) 1/7
29) 6
30) 1 1/8
31) 3 1/3
32) 2 1/4
33) 2/5
Answer:
1/7 = 7/1
6= 1/6
1 1/8= 9/8= 8/9
3 1/3 = 10/3 = 3/10
2 1/4 = 9/4 = 4/9
2/5 = 5/2
Step-by-step explanation:
In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x⁻¹, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number.
The reciprocal of a number is the number you would have to multiply it by to get the answer 1.
Answer:
28) 7/1
29) 1/6
30) 8/9
31) 3/10
32) 4/9
33) 5/2
Step-by-step explanation:
Complete the steps to find the sum. What is the sum? –7g4 4g3 – 3g2 5g – 3 –4g4 – 3g3 4g2 5g 3 –4g4 4g2 14g – 6 –3g4 14g – 6.
The sum of given polynomials is [tex]4g^2-4g^4+5g-3g^3+3[/tex].
Given polynomials are:
[tex]1)g^2-4g^4+5g+9\\\\2)-3g^3+3g^2-6[/tex]
What is a polynomial?A polynomial is an algebraic expression that constitutes monomials of the form ax^n where n is a whole number.
The sum of expressions is
[tex]g^2-4g^4+5g+9-3g^3+3g^2-6[/tex]
Now, add monomials having similar exponents, like if monomial is like [tex]g^2[/tex] add it with another monomial having a term [tex]g^2[/tex] and do the same for other monomials.
[tex]g^2 + 3g^2 -4g^4+5g-3g^3+9-6[/tex]
[tex]4g^2-4g^4+5g-3g^3+3[/tex]
Therefore, the sum of given polynomials is [tex]4g^2-4g^4+5g-3g^3+3[/tex].
To get more about polynomials visit:
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Answer:
B
Step-by-step explanation:
Determine the value of x in the diagram.
x
2x
2x
Answer:
x = 60
Step-by-step explanation:
The sum of exterior angles in a rectangle is equal to 360
so to find the value of x we need to use all given values and write an equation:
x + 2x + x + 2x = 360 add like terms
6x = 360 divide both sides by 6
x = 60
hii the lateral surface area of a cube is 256 m cube . find the volume of the cube
Answer:
512cm3
Step-by-step explanation:
A lateral surface area of a cube is 256 m2. Find its volume.
A cube is a three-dimensional shape that is made up of 6 congruent square faces.
Answer: If the lateral surface area of a cube is 256 m2, then its volume is 512 cubic meters.
The lateral area of a cube is the sum of areas of all side faces of the cube
Explanation:
The lateral surface area (LSA) of the cube = sum of areas of all 4 side faces.
Let the edge length of the cube be x.
LSA = x2 + x2 + x2 + x2 = 4x2
Given that, LSA of the cube is 256 m2
4x2 = 256
x2 = 256/4
x2 = 64
x = 8
Length of edge of the given cube is 8 m.
The volume of a cube is x3.
The volume of cube = x3 = 83 = 512 m3
Thus, the volume of the given cube is 512 m3.
The volume of the given cube is 512 m³.
What is volume of cube?The volume of a cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.
Given that, the lateral surface area of a cube is 256 m cube.
We know that, the formula to find lateral surface area of a cube is 4a², where a is edge of a cube
Now, 4a²=256
a²=64
a=8 m
The formula to find the volume of a cube is a³, where a is edge of a cube.
Thus, volume of a cube =8³ =512 m³
Therefore, the volume of a cube is 512 m³.
Learn more about the volume of a cube here:
https://brainly.com/question/11168779.
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20 points!!!!!
Solve by using the zero product property to solve y = x^2-4x-21 for its zeroes?
Explain in a short paragraph.
Answer:
x = -3 or 7
Step-by-step explanation:
The zero product property tells you a product will be zero if and only if a factor is zero. This property is used to find the zeros of polynomial functions by factoring them, then considering the variable values that make the factors zero. The zero of a monic linear binomial factor will be the opposite of the constant in that binomial.
__
The factored form of the given polynomial is ...
y = (x -7)(x +3)
The values of x that make these factors zero are ...
x -7 = 0 ⇒ x = 7
x +3 = 0 ⇒ x = -3
The zeros of the polynomial function are x = -3, and x = 7.
One way to convert from inches to centimeters is to multiply the number of inches by 2.54, How many centimeters are there in ⅕ inch?
WILL GIVE BRAINLIEST
Answer:
0.508 cm
Step-by-step explanation:
Your problem statement tells you that you can find the number of centimeters by multiplying 1/5 inch by 2.54 cm/in:
1/5 × 2.54 = 0.508
1/5 inch is 0.508 centimeters
is -17/-40 equal to -0.425
[tex]\left[Hello,Dejanafryer23][/tex]
Answer:
No
Step-by-step explanation:
To Find if -17/-40 equal to -0.425...
We First have to turn -17/-40 into a decimal;
-17/-40 = 0.425 { Negative + Negative = Positive }
Thus,
0.425 > -0.425
Hence, Answer is -17/-40 is Not equal to -0.425
[RevyBreeze]
The solids are similar. Find the volume V of the red solid,
7 mm
7 mm
21 mm
21 mm
Volume = 5292 mm
V
mm
Answer:
1764
.
.
.................
....
What’s the simplified expression
Answer:
1/144
Step-by-step explanation:
1/(2⁴ * 3²)
1/(16*9)
1/144
Mr. And Mrs. Lorenzo want to buy a home valued at $213,500. If they have 18% of this amount saved for a down payment, how much have they saved? a. $384. 30 b. $3,843. 00 c. $38,043. 00 d. $38,430. 0.
Answer:
D- 38,430
Step-by-step explanation:
To find 18% of 213.5k, we need to convert 18% back into its decimal form (0.18), then multiply it by 213.5k and boom! there is your answer.
Factor 60-36w to identify the equivalent expressions
Answer:
12(5 - 3w)
Step-by-step explanation:
60 - 36w
The GCF of 60 and 36w is 12.
60 - 36w = 12(5 - 3w)
PLEASE ASAP PLEASE
Four lines are shown on the grid above
A)(i) write the equation of line L1
(ii) write the equation of line L2
(iii)write the value of (m) and the value of (n) for the line (y=mc+n)
(iv)write the value (p) and (q) for the line y=px+q
B) which of the letters A to K lie in the region where
(i) x >=2. y>=mx +n. and y>=px+q
(ii) y<=2. y<=mx+n. And y<=px+q
C)what is the maximum value of x+y in the region G
The lines L1 & L2 and the equations y = mx + n & y = px + q are illustrations of linear equations
The equation of line L1This is a vertical line that passes through the x = 2
So, the equation of line L1 is x = 2
The equation of line L2This is a horizontal line that passes through the y = 2
So, the equation of line L2 is y = 2
The values of m and n in y = mx + nThe line y = mx + n passes through points (6,3) and (0,0)
This means that n = 0 i.e. the y-intercept.
The value of m is calculated as follows:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
This gives
[tex]m = \frac{0- 3}{0 - 6}[/tex]
[tex]m = 0.5[/tex]
So, the values of m and n in y = mx + n are 0.5 and 0, respectively.
The values of p and q in y = px + qThe line y = px + q passes through points (6,3) and (0,12)
This means that q = 12 i.e. the y-intercept.
The value of p is calculated as follows:
[tex]p = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
This gives
[tex]p = \frac{12- 3}{0 - 6}[/tex]
[tex]p = -1.5[/tex]
So, the values of p and q in y = px + q are -1.5 and 12, respectively.
The letters in the region x >=2. y>=mx +n and y>=px+qThe above region represent the upper region between y=mx +n, y=px+q and line L1
The letter in this region is letter H
The letters in the region y <=2. y<=mx +n and y<=px+qThe above region represent the lower region between y=mx +n, y=px+q and line L2
The letters in this region are letters A and E
Read more about linear equations at:
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Use the distributive property to write an equivalent expression.
12(4n+10). ASAP, thank you.
Answer: 48n + 120
Step-by-step explanation:
12(4n+10)
12(4n) + 12(10)
48n + 120
Solve for all values of x by factoring x2-8x-6=-6
Answer:
Step-by-step explanation:
2−8−6=−6x2−8x−6=−62−8−6−(−6)=0x2−8x−6−(−6)= 02Add the numbers3Use the quadratic formula3 more stepsSolution=8=0
Answer:
[tex]x=0,8[/tex]
Step-by-step explanation:
[tex]x^2-8x-6=-6[/tex] ( Cancel 6 from both sides)
[tex]x^2-8x=0[/tex] ( Factor out the common term x)
[tex]x(x-8)=0[/tex]
[tex]x=0\: or\:x-8=0[/tex]
let's solve the equations
[tex]x-8=0\\x-8+8=0+8\\x=8[/tex]
[tex]x=0[/tex]
Therefore, x=0,8
~
given that x=6 and y = -4, elevate the each of the following expressions.
5x over 3y + x
Step-by-step explanation:
Substitute the given values into the expression;
[tex]\frac{5(6)}{3(-4)} +6[/tex]
Multiply;
[tex]\frac{30}{-12} +6[/tex]
Divide;
30 and -12 aren't common factors. To get to 30 with -12, you need to multiply -12 by -2.5.
[tex]-2\frac{1}{2} +6[/tex]
Add;
[tex]3\frac{1}{2} \; or \; 3.5[/tex]
What is 4. 9 ft rounded to the nearest tenth of a cubic foot
Factor completely 2x^2 + 4x - 2
Answer:
if i were to factor this would be the solution
2(x^2+2x-1)
Doctors recommend that teenagers sleep between 9 and 912 hours each night. Melody and Wilmer construct a box plot to display sleep data collected from two samples of students. Do these data support the petition to delay the school starting time so school starts 1 hour later? Explain
Answer:
Yes because I can see people very sleep-deprived and even if 7 hours is not enough, it's better than 6. For the people who sleep 9 and a half hours, they have 1 more hour to get ready. The median is 8 which most likely means, most of the students will be able to sleep the recommended amount with the extra hour.
Step-by-step explanation:
The radius of a circle is 7.9 ft. Find the circumference \to the nearest tenth to the nearest tenth.
Answer:
49.6 ft.
Step-by-step explanation:
The formula for circumference is 2πr, so just plug the radius into the formula.
2*π*7.9=49.637 ft
Round that to the nearest tenth to get 49.6 ft.
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
B. The total amount of tweets...
E. NCAA basketball tournament
F. Butterfly population doubles each month
An exponential function is a function that grows exponentially.
Exponential functions have a multiplicative rate of change. This means each term can be multiplied by a specific number to get to the next.
Example of an exponential function:
1, 2, 4, 8, 16, 32, 64, 128, 256...
Knowing this, let's look at each example.
A.
The rocket grows at a rate of 45 m/s, but then goes back down. This is not an exponential function. This is most likely a quadratic function.
B.
Each term is being multiplied by 4. This is correct.
C.
This is too vague. We cannot determine what this is.
D.
This is a linear function. It has an additive rate of change; not a multiplicative one. This is wrong.
E.
Each term is 50% of the previous one. This is correct.
F.
The population is multiplied by 2 each month. This is correct.
Answer:
2, 5, 6
(tweets, basketball, butterfly)
Step-by-step explanation:
Rocket: Quadratic function
Tweets: Exponential function (quadruples each time)
Water Park: Quadratic function (or absolute function)
Savings: Linear function (if simple interest)
**compound interest is exponential, but as it stops earning interest after the first year, it is not continually exponential**
Basketball: Exponential function (halves each round)
Butterfly: Exponential function (doubles each month)
Solve the system of equations - 8x - 8y = 0 and -5x – 7y= -12 by combining
the equations
Answer:
y=-12/15-13/15x
Step-by-step explanation:
Which graph represents a linear function?
Answer:
Graph D
Step-by-step explanation:
Graph A is incorrect because that is a graph of a negative exponential function.
Graph B is incorrect because that is a graph of a square root function.
Graph C is incorrect because that is a graph of a positive exponential function.
Graph D is correct because linear functions are always straight lines. Linear functions have the base equation of y = mx + b . Because there is only one "x" value to the first power, the function increases by the same amount between each "x" value.