Answer:
Step-by-step explanation:
We have
[tex]e^\frac{x}{2}^l^n^3 = 5\\[/tex]
[tex]ln(e^\frac{x}{2}^l^n^3) = ln(5)\\\frac{x}{2}ln(3) = ln(5)\\\frac{x}{2} = \frac{ln(5)}{ln(3)} \\x = \frac{2ln(5)}{ln(3)}[/tex]
[tex]x = 2.929947041[/tex]
to the third decimal is 2.930 (i might be wrong on the rounding part)
Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
All of the coins together have a value of $3.45. How many dimes does Jillian have?
o 7 dimes
o 9 dimes
o 12 dimes
o 14 dimes
SUBMIT RESPONSE
Answer:
12 dimes
Step-by-step explanation:
1 dollar= 4 quarters
1 dime=10 cents
3.45-1.20=2.25
2 dollars= 8 quarters
2.25-2.20=.25
1 quarter=.25
SOOOO your answer is 12 dimes
Pls factorise x²-7x+12
Step-by-step explanation: The first thing you're going to probably
try to do here is to factor out a greatest common factor.
The problem is, there is no factor that is in common
to all three of these terms so you may think it's unfactorable.
However, this trinomial is in a special form.
We have an x squared term, an x term, and a constant term.
When a trinomial is in this form, it can be
factored as the product of two binomials.
So start by setting up two sets of parentheses.
Inside each set, we will have the two terms that compose each binomial.
So we have ( )( ).
The first term is a factor of the x² term, x · x.
For the second term, we need factors of 12 that add to -7.
Since the middle term is negative, we use the negative factors of 12.
Notice that -4 and -3 add to -7 and multiply to be 12.
So our answer is (x - 4)(x - 3).
The front and back covers of a textbook are each 0.3 cm thick. Between the covers are 200 sheets of paper, each 0.008 cm thick. How high is a stack of 10 books
Answer:
22 cm
Step-by-step explanation:
Start off by multiplying the number of pages by the thickness.
200*0.008=1.6
Add the thickness of the front and back cover.
1.6+0.6=2.2
Multiply by 10.
2.2*10=22 cm
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,
The thickness of a single book
= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)
= (2 × 0.3cm) + (200 × 0.008cm)
= 2.2 cm
Now, the thickness of 10 books will be,
The thickness of 10 books = 10 × the Thickness of a single book
= 10 × 2.2 cm
= 22 cm
Hence, the height of the 10 stacks of books is 22cm.
Learn more about Multiplication here:
https://brainly.com/question/14059007
#SPJ2
Please someone help me
Answer:
D
Step-by-step explanation:
Answer:
uhh what kinda symbols r those
Step-by-step explanation:
PLEASE HELP ME ANSWER NOW!!!! 15 POINTS
Answer:
x = 4
Step-by-step explanation:
6x + 4 = 12x - 20
x = 4
The veterinarlan told Sally that her cat needs to lose 5 pounds. A healthy weight loss for her cat would be about 1 pound every 2 weeks. To model this situation, she graphed the following line, where y represents the number of pounds left to lose and x represents time in weeks. The equation for this line is y= ___x +___. If she continues the line, she would see that it would take ___ weeks for her cat to lose 5 pounds
Answer:
it would take the adverage of 10 weeks for her to lose 5 pounds did that help?
Step-by-step explanation:
2700 is a perfect cube. True/False?
Answer: False
Step-by-step explanation:
Answer:
It is false hope this will be
Find the missing factor D that makes the equality true.
– 15y4 = (D)(3y?)
Answer:
[tex]-15y^{4} = D(3y^{2})\\-15y^{4}/3y^{2} = -5y^{2} \\D = -5y^{2}[/tex]
Step-by-step explanation:
Please solve: (in a hurry)
will name the brainliest!!!
include steps!
Answer:
Step-by-step explanation:
Write the slope intercept form of the line that goes through points (5,6) and (2, 15)
Answer:
[tex]slope \: = \frac{y2 - y1}{x2 - x1 } \\ slope = \frac{15 - 6}{2 - 5} \\ slope = \frac{9}{3} [/tex]
I need help I don't understand
Solve the following equation by the quadratic formula. 9x 4 + 5x 2 - 4 = 0 {±2/3, ±1} {±2/3, ±i} {±4/9, ±1}
The solution of the equation by the quadratic formula are, {±2/3, ±i}
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The equation is,
⇒ 9x⁴ + 5x² - 4 = 0
Now, Put x² = y in above equation, we get;
⇒ 9y² + 5y - 4 = 0
Bu using quadratic formula as;
⇒ y = - 5 ± √5² - 4×9×- 4 / 2×9
⇒ y = - 5 ± √25 + 144 / 18
⇒ y = - 5 ± √169 / 18
⇒ y = - 5 ± 13 / 18
This gives two solution,
⇒ y = - 5 + 13 / 18
⇒ y = 8/18
⇒ y = 4/9
⇒ x² = 4/9
⇒ x = ±2/3
And, y = - 5 - 13 / 18
⇒ y = - 18 / 18
⇒ y = - 1
⇒ x² = - 1
⇒ x = ±i
Thus, The solution of the equation are {±2/3, ±i}.
Learn more about the quadratic equation visit:
brainly.com/question/1214333
#SPJ1
The local high school sold 1914 tickets this year to its spring musical. That was 174 more tickets sold than last year. What is the percent increase in the number of tickets sold?
Answer:
.909 (ROUNDED)
Step-by-step explanation:
In order to do this all you need to do is divide the number with the number you got this year, 1914, and with the number last year.
1914-174=1740
1740 was the amount they got last year
Now you want to find the percent difference between the two.
1740/1914=.909090 (Repeats)
So the percent increase would be
.909090
.101010
Which expressions are equivalent to 12r-5?
A. 6(2r+(-1))+1
B. -4(2+(-3r))+3
C. None of the above
Answer:
Step-by-step explanation: 12r-6+1= 12r-5
-8+12r+3= 12r-5
A and B
please help asap
is x= -3 what is the value of |x-4|-x^2
thank you
Answer:
16
check your math
|(-3)-4|=7
-3^2=-9
7-(-9)=16
welcome <3
Determine the value of X.
Answer:
25
Step-by-step explanation:
8x-20=180
8x=200
x=25
Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes. Drag steps to show how to find the total number of airplanes.
Answer:
56
Step-by-step explanation:
Given that:
Number of girls = 3
Number of boys = 4
Each student makes 8 paper airplanes.
To find:
The total number of airplanes = ?
Solution:
There can be two ways to find the total number of airplanes.
Method 1:
Keep on adding the number of airplanes for each student.
There are a total of 3+4 = 7 number of students.
First student makes = 8 airplanes
Second student makes = 8 airplanes
Third student makes = 8 airplanes
Fourth student makes = 8 airplanes
Fifth student makes = 8 airplanes
Sixth student makes = 8 airplanes
Seventh student makes = 8 airplanes
Total number of airplanes = 8 + 8 + 8 + 8 + 8 + 8 + 8 = 56
Method 2:
Simply multiply number of airplanes each student makes with the number of students.
i.e. 8 [tex]\times[/tex] 7 = 56
Simplify the expression:
7p+6q-2p+q
Answer:
5p+7q
Step-by-step explanation:
Answer:
5p+7q
Step-by-step explanation:
You add common terms together.
(7p-2p)+(6q+q)
5p+7q
Hope I helped!
A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka’s shadow. include all labels.
Answer:
8 meters
Step-by-step explanation:
This means that the shadows at this time is twice as tall as normal.
4*2=8
Luka's shadow is 8 meters tall.
What is the square root for this numberZ
Please help me out i don’t know what right and left is!!! please tell me :(((
Answer:
put your fingers out in the shape of L's. Which ever finger has the L facing the proper way, is left, and the other is right.
Step-by-step explanation:
Which statement is true about f(x) = -2/3|x+4|-6?
O The graph of f(x) has a vertex of (-4, 6).
O The graph of f(x) is a horizontal stretch of the graph of the parent function.
O The graph of f(x) opens upward.
O The graph of f(x) has a domain of x 5-6.
b. the graph of f(x) is a horizontal stretch of the graph of the parent function.
The True statement is
The graph of f(x) is a horizontal stretch of the graph of the parent function.
What is Function?In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependant one (the dependent variable).
We have,
f(x) = -2/3 |x+4| - 6
So, -2/3 |x+4| - 6 = 0
-2/3 |x+4| = 6
|x+4| = -9
so, the vertex is not (-4, 6).
Here the -6 in the function shows the horizontal stretch.
Learn more about Function here:
https://brainly.com/question/12431044
#SPJ2
If JKLM is a trapezoid, which statements must be true? Check all that apply.
A. JK=~KL
B. J is congruent to M.
DC. JK is parallel to LM.
I D. J is congruent to K.
E. KL is parallel to JM.
OF Jis supplementary to K.
JKLM is a trapezoid. Statements A and E are correct.
What is the definition of geometry?It is concerned with the geometry, region, and density of various 2D and 3D shapes. There are two parallel sides and two non-parallel sides to a trapezoid.
These are the actual statements:
(a) J is supplementary to K
(e) KL is parallel to JM
Hence, statements A and E are correct.
To learn more about geometry, refer to
https://brainly.com/question/7558603.
#SPJ2
Mrs. Adams paid $33.60 for 3.2 pounds of Hawaiian coffee beans. What is the price per pound of the coffee beans?
Answer:
$10.5
Step-by-step explanation:
33.6/3.2(that is unit price formula total by one) which is 10.5
Hope this helps plz mark brainliest :D
Use the remainder theorem to determine the remainder. Then use the remainder to determine if the binomial is the factor of a polynomial. f(x) = x^3 + x^2 - 66x + 54 is divided by x + 9.
a. Remainder: 0; not a factor
b. Remainder: 0; yes a factor
c. Remainder: 270; not a factor
d. Reaminder:270; yes a factor
Answer:
b
Step-by-step explanation:
f(x) = x³ + x² - 66x + 54
= (x² - 8x + 6)(x + 9) + 0
=> the answer is b
Answer:
b
Step-by-step explanation:
If (x + h) is a divisor of f(x) then f(- h) = remainder
If f(- h) = 0 then (x + h) is a factor of f(x)
Here divisor is (x + 9) , then
f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54
= - 729 + 81 + 594 + 54
= 0
Thus remainder is 0 and (x + 9) is a factor of f(x)
Noah bought 4 tacos and paid $6. At this rate, how many tacos could he buy for $15?
Answer:
10
Step-by-step explanation:
each taco is 1.50$ 15$ divided by 1.50$ is 10
Answer:
He can buy 10 tacos with $15.
Step-by-step explanation:
You can do a cross multiplication process. Think in this way:
If he buys 4 tacos for $6, then how many tacos can he get in $15? When you do the cross multiplication process, you'll find that he can get 10 tacos with $15.
Can anyone help?
The question says to expand and simplify it but i dont know how.
Answer:
3x+14
Step-by-step explanation:
remove parenthses
6x+8-3x+6
3x+14
Answer:
3x+14
Step-by-step explanation:
2(3x+4)-3(x-2)
6x+8-3x+6
3x+14
1c) What is 25% of 40?
8.5
25% of 40
=25/100×40
=0.25×40
=10 answer.
3(2m-3)=5(m+1) What is the value of m
Answer:
14!
Step-by-step explanation:
3(2m-3)=5(m+1)
Step 1: 6m-9 = 5m + 5
Step 2 : Add 9 to -9 and 5
6m= 5m+14
Step 3: Subtract 5m from 6 and 14
Simplify!
m=14
Eric plots points showing equivalent ratios on the coordinate plane below.
What is true about the relationship between the four points?
The points form a curve.
The points form a straight line.
The points are randomly scattered.
The points do not show any relationship.
Answer: The points form a straight line.
Step-by-step explanation: