x = -1
Step-by-step explanation:
[tex] {4}^{5x} = {2}^{2(5x)} = {2}^{10x} [/tex]
[tex] {( \frac{1}{32}) }^{(1 - x)} = {2}^{ - 5(1 - x)} = {2}^{(5x - 5)} [/tex]
or
[tex] {2}^{10x} = {2}^{(5x - 5)} [/tex]
Since both sides have the same base, we can write
10x = 5x - 5
or
5x = -5
x = -1
Please help me thank you
Answer:
0.2
Step-by-step explanation:
Easy divide 1/5 as a decimal and you should get a decimal form number 0.2
1÷5=0.2
Hope this helps
WILL GIVE BRAINLIEST
Answer:
Should be $300
let me know if it's correct:)
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
(hegarty maths))
Answer:
The probability of getting 2 blues is 25/121.
Step-by-step explanation:
There are 6 + 5 marbles in total, 11 marbles.
The chances of picking a blue marble is 5/11.
Since you replace the marble you drew, the chances each draw remain 5/11
You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11.
5/11 * 5/11 = 25/121
The probability of getting 2 blues is 25/121.
Hope this helps, please mark brainliest! :) Have a great day.
Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown.
Answer:
16.6 inches
Step-by-step explanation:
using the pythagorean theorem which is a^2 + b^2 = c^2 you can add 9^2 + 14^ together to get 277 and when you find the square root of 277 you get 16.6
a survey of 100 high school students provided this frequency table on how students get to school: what is the probability that a randomly selected student either takes the bus or walks
Answer:
3/5
Step-by-step explanation:
;)
The probability that a randomly selected student either takes the bus or walks is 3/5.
What is the probability?
The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes.
A survey of 100 high school students provided this frequency table on how students get to school:
The probability that a student selected is a senior student or one that drives to school.
From the table, the number of senior students is 25 + 20 + 5 = 50
So the probability of selecting a senior student is 50/100 = 1/2
Now the probability of selecting a student that drives to school.
The number of students that drive to school is 3 + 2 +5 = 10
So the probability of a student who drives to school is 10/100 = 1/10.
The probability that a randomly selected student either takes the bus or walks is;
[tex]=\dfrac{1}{2}+\dfrac{1}{10}\\\\= \dfrac{1 \times 5+1\times 1}{10}\\\\= \dfrac{1+5}{10}\\\\= \dfrac{6}{10}\\\\=\dfrac{3}{5}[/tex]
Hence. the probability that a randomly selected student either takes the bus or walks is 3/5.
Learn more about probability here;
https://brainly.com/question/16937234
#SPJ2
Three times a number increased by ten to equal to twenty less than six times the number. Find the number.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
will mark brainlist.
Answer:
x =10
Step-by-step explanation:
3x + 10 = 6x -20
3x - 6x + 10 = -20
-3x + 10 = -20
-3x = -20 -10
-3x = -30
x = -30/-3
x = 10
Check:
3(10) + 10 = 6(10) - 20
30 + 10 = 60 - 20
40 = 40
A quadratic monomial with a leading coefficient of 6
A linear binomial with a leading coefficient of 2
Given:
A quadratic monomial with a leading coefficient of 6.
A linear binomial with a leading coefficient of 2.
To find:
The mathematical terms for the given statements.
Solution:
Monomial: The expression with single term.
Binomial: The expression with two terms.
Quadratic: Highest power of the variable is 2.
Linear: Highest power of the variable is 1.
Coefficient: In the product of a number and a variable, the number is known as the coefficient of that variable.
The first statement is "A quadratic monomial with a leading coefficient of 6".
Quadratic monomial means single term with degree 2. The leading coefficient of 6. So, the term is [tex]6x^2[/tex].
The second statement is "A linear binomial with a leading coefficient of 2".
Linear binomial means [tex]ax+b[/tex], where a and b are real values. The leading coefficient is 2. So, [tex]a=2[/tex].
Let [tex]b=1[/tex], then the required linear binomial is [tex]2x+1[/tex].
Therefore, a quadratic monomial with a leading coefficient of 6 is [tex]6x^2[/tex].
A linear binomial with a leading coefficient of 2 is [tex]2x+1[/tex].
Find the equation of the parabola that has zeros of x = –2 and x = 3 and a y–intercept of (0,–30).
A)
y = x2 – 5x – 30
B)
y = 5x2+ 5x – 30
C)
y = –5x2 + 5x + 30
D)
y = 5x2 – 5x – 30
It's the letter B y=-5x2+5x+30.
[tex]1,6 + 6,13[/tex]
= 1,6 + 6,13
= 7,73 .
FollowMe? FollowBack.
Answer:
7,73Step-by-step explanation:
1,6
6,13 +
7,73
[tex] \: \: \: [/tex]What is the measure of ACB in O below?
Answer:
A
Step-by-step explanation:
The central angle is equal to the arc that subtends it , then
arc AB = 30°
arc ACB = 360° - 30° = 330° → A
type a digit that makes this statement true.7458__4 is divisible by four
There are 5 numbers that can make the above statement true. They are [tex]\boxed{0,\:2,\:4,\:6\:and\:8}[/tex].
[tex]\longrightarrow{\green{}}[/tex] [tex]\sf\red{745804}[/tex], [tex]\sf\purple{745824}[/tex], [tex]\sf\blue{745844}[/tex], [tex]\sf\pink{745864}[/tex], [tex]\sf\orange{745884}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{745804}{4} = 186451 \\ \frac{745824}{4} = 186456 \\ \frac{745844}{4} = 186461 \\ \frac{745864}{4} = 186466 \\ \frac{745884}{4} = 186472[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Write the word sentence as an inequality. Then solve the inequality. Eight times a number $n$ is less than 72
Answer:
8n < 72
n < 9
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
for example : 2 < 3 means 2 is less than 3
3 >2 means 3 is greater than 2
8 times n = 8n
8n is less than 72, this can be represented by the equation : 8n < 72
to determine the value of n, divide both sides of the equation by 8
n < 9
It didn't really give a question
Answer:
x=58 degree
Step-by-step explanation:
angle AGF +32 =90 degree (being perpendicular)
angle AGF =90-32
angle AGF =58 degree
angle x =angle AGF (being vertically opposite angles)
x=58 degree
Answer: It is asking for the answer to angle x, which is 68 degrees
Solve for xxx. Enter the solutions from least to greatest. (x + 5)^2 - 64 = 0
Answer:
x1= -13,x2=3
Step-by-step explanation:
we have
(x+5)^2 -64=0
<=>x^ 2 + 10x+ 25-64=0
<=>x^ 2+10x-39=0
<=>( x-3).(x+13)=0
Answer:
-13, 3
Step-by-step explanation:
khan
What is the probability of getting 1 red and then blue?
Answer:
Find the volume of this prism.
Simply
7p2 x 3p
14p4
Answer:
[tex]{ \tt{ = \frac{7 {p}^{2} \times 3p}{14 {p}^{4} } }} \\ = { \tt{ \frac{21 {p}^{3} }{14 {p}^{4} } }} \\ = { \tt{1.5 {p}^{ - 1} }}[/tex]
what is 8690 rounded off to the neareset hundred?
am just asking
Answer:
8700
Step-by-step explanation:
If it is 8,690 and you round to the nearest hundred it would add one to 90 making it 8,700
Answer:
Did not necessarily round up or down, but to the hundred that is nearest to 8690.
8690 rounded to the nearest hundred is: 8700
A 2m tall man observes the angle of elevation of a tower 45m to be 30 degree.find the distance between man and the tower
Answer:
CARRY ON LEARNING BEGGINER PALANG PO KASI AKO EH
Step-by-step explanation:
sorry po
Examine the diagram of circle O, where JW⎯⎯⎯⎯⎯⎯⎯⎯ and JV⎯⎯⎯⎯⎯⎯⎯ are tangent to circle O at points W and V, respectively. The diagram as described in the problem. © 2016 StrongMind. Created using GeoGebra. If JW=x8+4 and JV=x4+2, what is the length of JW?
a. 2
b. 6
c. 16
d. 10
Answer:
6
Step-by-step explanation:
Just got it right.
Which equation represents a line that passes through (5,1) and has a slope of 1/2?
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
y = 1/2x + b
1 = 1/2(5) + b
1 = 5/2 + b
-3/2 = b
Answer:
y=1/2x-3/2
Step-by-step explanation:
y-y1=m(x-x1)
y-1=1/2(x-5)
y-1=1/2x-5/2
y=1/2x-5/2+1
y=1/2x-5/2+2/2
y=1/2x-3/2
What is the recursive rule for the sequence?
−2.7, −8.3, −13.9, −19.5, −25.1
an=an+1+5.6, where a1=−2.7
an=an+1−5.6, where a1=−2.7
an=an−1+5.6, where a1=−2.7
an=an−1−5.6, where a1=−2.7
Answer:
[tex]a_{n} =a_{n-1} -5.6[/tex] where [tex]a_{1} =-2.7[/tex]
Step-by-step explanation:
This is an arithmetic sequence with the first term is [tex]a_{1}[/tex] = -2.7 and has a common difference of [tex]d=-5.6[/tex].
Arithmetic Sequence: [tex]a_{n} =a_{n-1} +d[/tex]
[tex]a_{n}[/tex] is the nth term and [tex]d[/tex] is the common difference.
The common difference: -2.7, -8.3, -13.9...
Subtract: -2.7- (-8.3) = -5.6, -13.9 - (-8.3) = -5.6
Common difference: [tex]d = -5.6[/tex]
Recursive rule: [tex]a_{n} = a_{n-1} -5.6[/tex]
Can somebody help me? Plsss
Answer:
3/10
Step-by-step explanation:
There are 52 cards in a deck. This means that there are four of each one. If all types of all three cards are removed, there are still 40 cards. There are 12 face cards. 12/40 is 3/10
Answer:
3/13
Step-by-step explanation:
Total cards in a deck=52
There are four cards of each number which in this case is 2,3,4
Total of 2s,3s,and 4s=12
12/52 simplify this and u get
3/13
Hope this helps u
What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …
Answer:
y = 3x -7?
Step-by-step explanation:
started from 7 and going infinite
What’s the least number of faces a polyhedron can have? And why?
Answer:
The minimum number of faces a polyhedron can have is 4 faces.
Step-by-step explanation:
We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).
in the function f(x) is translated 3 units
==========================================================
Explanation:
Imagine that we're able to move the xy grid freely but keep the f(x) curve fixed in place. Now imagine that we move the xy grid 3 units to the left. This would give the illusion the f(x) curve moves 3 units to the right.
If we replace each input x with x-3, then that will effectively move the xy grid 3 units to the left. So that's why f(x-3) is a translation of 3 units to the right.
The negative out front will reflect the curve over the x axis. Points of the form (x,y) become (x,-y). For example, if (1,2) is on the curve then (1,-2) is on the reflected curve.
Putting this all together and it leads us to -f(x-3) which is choice D.
help! f(x)=x^2 what is g(x)
Answer:
C.) g(x) = 3x^2
✨HELP ASAP *Please*✨Theese figures are congruent. What series of transformations moves pentagon ABCDE onto pentagon A'B'C'D'E? Note: Rotations are clockwise Reflections are over the x-ory-axis.
A Rotation, translation
B. Reflection, translation
C. Reflection, rotation
D. Transation ansition
Answer: C
Brainliest Me
Find numbers a and b, or k, so that f is continuous at every point.
Answer:
[tex] \boxed{k = 7} [/tex]
Step-by-step explanation:
When interpreting this piecewise function, to determine whether or not the function is continuous, the limit to the left must be the same as the limit to the right.
Therefore to find an a value where the function is continuous at every point, we must determine where the limit is for the function.
In this case, the function is continuous at x = 7.
lim x→7 [x²] = lim x→7 [kx].
(7)² = k(7)
49 = 7k
÷7 ÷7
7 = k
k = 7.
Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket
Given:
Total amount spend on movie = $75
Each friend bought a ticket and a small popcorn that cost $8.25.
To find:
The price of each ticket.
Solution:
Let x be the price of each ticket.
Total cost of ticket and popcorn of each friend [tex]=x+8.25[/tex]
Total cost of ticket and popcorn of three friend [tex]=3(x+8.25)[/tex]
It is given that, the total amount spend on movie is $75. So,
[tex]3(x+8.25)=75[/tex]
[tex]x+8.25=\dfrac{75}{3}[/tex]
[tex]x+8.25=25[/tex]
Subtract 8.25 from both sides.
[tex]x=25-8.25[/tex]
[tex]x=16.75[/tex]
Therefore, the cost of each movie ticket is $16.75.
Brad makes his own snack mix using whole grain cereal and mixed nuts. One batch of his recipe makes 6 cups of snack mix. Brad uses 3 times as much cereal as mixed nuts. The system below can be used to find the number of cups of cereal and number of cups of mixed nuts Brad uses to make one batch of snack mix.
A system of equations. c plus m equals 6. m equals StartFraction c over 3 EndFraction.
Which describes the ingredients Brad uses to make one batch of snack mix?
2 cups of cereal and 4 cups of mixed nuts
3 cups of cereal and 9 cups of mixed nuts
4.5 cups of cereal and 1.5 cups of mixed nuts
7.5 cups of cereal and 4.5 cups of mixed nuts
