Answer:
10/3 or 3 1/3
Step-by-step explanation:
If the principal is $4,500 and the rate of interest is 8%, what is the amount of interest after one year? Formula is I =PRT
Step-by-step explanation:
I=?
P= $4500
R=8%=0.08
T=1 year
8%*0.01= 0.08
I=(4500)(0.08)(1)
(4500)(0.08)=360
360*1=360
The interest after one year is $360
A farmer has 200 feet of fencing to use for a chicken pen. He wants the width of the pen to be 27 feet. What will the length be?
Answer:
Length will be 173
Step-by-step explanation:
help mee asappp plsssss
The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is What is the value
of b?
-18
-9
9
18
Answer:
B.) -9
Step-by-step explanation:
The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9
How to calculate the axis of symmetry of a function?The standard equation of a function in vertex form is given as:
f(x) = (a + x)^2 + h
Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:
3/2= -b/2a
-b/2(3)=3/2
-b/6=3/2
Cross multiply
-2b = 18
-b=9
Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9
Learn more on axis of symmetry here: https://brainly.com/question/21191648
Find the sum, if it exists, of the infinite geometric series S= 1/181 + 1/27+ 1/9+….
a)S= 1/54
b)S=1/9
c)S=1/6
d)This infinite geometric series diverges.
Answer:
S∞=12. Explanation: Formula for sum of infinite geometric series is. S∞=a11−r ; −1<r<1. We have a geometric series ...
Step-by-step explanation:
That's it hope it helps.^^
#carryonlearning
Some for all values of x by factoring
Answer:
{-1, 10}
Step-by-step explanation:
Next time please share the entire set of instrutions.
x^2 - 9x - 15 = -5 should be rewritten in standard quadratic form:
x^2 - 9x - 10 = 0 = (x - 10)(x + 1) = 0.
Setting each factor equal to zero and then solving for x yields {-1, 10}
Answer:
{-1,10}
Step-by-step explanation:
[tex]x^2-9x-15=-5[/tex] given
[tex]x^2-9x-10=0[/tex] addition property of equality
[tex]x^2+(x-10x)-10=x^2+x-10x-10=0[/tex] x-10x = -9x
[tex]x(x+1)-10(x+1)=0[/tex] distributive property ( x( y + z ) = xy + xz
[tex](x-10)(x+1)=0[/tex] distributive property (backwards)
[tex]x-10=0;x=10;x+1=0;x=-1[/tex] at least one factor of 0 has to be 0
{-1,10}
The sum of Ryann and Lori's ages is 96. Lori's age is
seven times Ryann's age. How old is Ryann?
Answer:
R = 12
L = 84
Step-by-step explanation:
R + L =96
L = 7R
R = 1R
L = 7R
1 R + 7R = 8R
R = 12
L = 84
hope it helps,
√320x^3 yz
simplify square roots
Answer:
[tex]8x\sqrt{5x}[/tex]yz
Step-by-step explanation:
before you plug in this answer, is your correct equation [tex]\sqrt{320x^3} yz[/tex] or [tex]\sqrt{320x^3yz}[/tex]
What is the volume of this rectangular prism?
2
cm
2
cm
5
cm
5
Answer:
The volume is 8
Step-by-step explanation:
Volume=abc
V=(2/5)(2/5)(2/5)
V=8
WILL GIVE BRAINLIEST *NO LINKS*
Answer:46%
Step-by-step explanation:
Answer:
23/50 or 46%
Step-by-step explanation:
I just added red and purple out of the total(red+purple/total=11+12/50=23/50)
then I multiplied the fraction by 2 to get out of 100 for the percentage(23/50*2=46/100=46%)
There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what sea is in simplest radical form
Answer:
C = 18
Step-by-step explanation:
There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form
Solution:
A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.
The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).
A right angled triangle is a triangle with one angle equals to 90 degrees.
Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:
sin30 = 9 / C
0.5 = 9 / C
C = 9/0.5
C = 18
No links please or I’m reporting you
Answer:
quadrant 2 the last option
Step-by-step explanation:
hope this helps!
A clothing store donated a percent of every sale to charity. The total sales were $8850, so the store donated $531 what percent of $8850 was donated to charity?
Answer:
6%
Step-by-step explanation:
[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]
A number divided by four is at most 6. Which choice is correct??
A. K/4 > 6
B. 4/k ≤ 6
C. K/4 ≥ 6
D. K/4 < 6
E. K/4 ≤ 6
Please help me with this!!!!!!!!!!!!!!! MATHHHHHH
12. You are measuring the height of a Sitka spruce tree in Alaska. You stand 45 feet from the base of
the tree. You measure the angle of elevation from a point on the ground to the top of the tree
to be 59º. Estimate the height of the tree.
Answer:
tangent 59° = Tree height / 45 feet
Tree Height = 1.6643 * 45
Tree Height = 74.8935 Feet
Step-by-step explanation:
5x-1/5=7/3
Find The LCD That would eliminate the fractions
Answer:
[tex]x=\frac{7}{15}[/tex]
Step-by-step explanation:
[tex]5x-\frac{1}{5} =\frac{7}{3}[/tex]
[tex]5x - \frac{3}{15} = \frac{35}{15}[/tex]
[tex]5x - \frac{3}{15} + \frac{3}{15} = \frac{35}{15} + \frac{3}{15}[/tex]
[tex]5x=\frac{35}{15}[/tex]
[tex]\frac{5x}{5} } =\frac{\frac{35}{15}}{5}[/tex]
[tex]x=\frac{7}{15}[/tex]
Francis earned the following scores on his math quizzes: 86, 84, 90. Jillian earned the following scores on her math quizzes: 84, 90, 86. Who earned a greater total score? Which addition property can you use to find the answer?
It's due in 5 minutes please help
Jillian and Francis both earned the same total score. I used commutative property of addition to find the answer.
Francis: 86, 84, 90 ---> 84,86,90
Jillian: 84, 90,86---> 84,86,90
I hope this helps, have a great day!
Find the value of Sin^-1(-√3/2)
Answer:
The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .
Step-by-step explanation:
5. (08.01) Line M is represented by the following equation: x + y = -1 What is most likely the equation for line P so the set of equations has infinitely many solutions?
O 2x + 2y = 2
O 2x + 2y = 4
O 2x + 2y = -2
O x - y = 1
Answer:
2x + 2y = -2
Step-by-step explanation:
you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions
Betsy's high school is putting on a production of a play as a fundraiser for the school's music programs. A local bank has agreed to allow the school to use a line of credit from which they can withdraw money to pay for the play. Then, any deposits they make at the bank will be applied to the negative balance of the credit account.
The play cost $3,200.00 to produce, and they intend to sell tickets for $10 each. After the play, Betsy will take the ticket proceeds and deposit them with the bank. If 1,007 people attend the play's opening night, what will the balance of the bank account be?
A.
- $3,099
B.
$10,070
C.
$13,270
D.
$6,870
Answer:
10070//B
Step-by-step explanation:hope this helps <3
I NEED HELP! I HAVE A TEST TOMORROW AND I NEVER PAYED ATTENTION!!! Whats the variable next to the number?? Like 2c or 6y
Answer:
It means you multiply the number by that variable.
Step-by-step explanation:
This is used to shorten the equation with a variable. For example, 2c means 2 times c. 6y means 6 times y.
Can somebody help me with writing a real-life problem on this subject Finding angle measures of a right or isosceles triangle given angles with variables thank you?
Answer:
See Explanation
Step-by-step explanation:
See attachment for illustration
(a) Right triangle
The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:
[tex]x + y + 90 = 180[/tex]
Subtract 90 from bot sides
[tex]x + y = 90[/tex]
Make x the subject
[tex]x = 90 - y[/tex]
Make y the subject
[tex]y = 90 - x[/tex]
This implies that, subtract the known angle from 90 to get the unknown angle.
Assume [tex]x = 40[/tex]
We make use of: [tex]y = 90 - x[/tex]
[tex]y = 90 - 40 = 50[/tex]
(b) Isosceles triangle
The sum of angles in an isosceles triangle is:
[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal
[tex]x + 2y = 180[/tex]
Make x the subject
[tex]x = 180 - 2y[/tex]
Make y the subject
[tex]y = \frac{180 - x}{2}[/tex]
Assume [tex]x = 40[/tex], we make use of:
[tex]y = \frac{180 - x}{2}[/tex]
[tex]y = \frac{180 - 40}{2}[/tex]
[tex]y = \frac{140}{2}[/tex]
[tex]y = 70[/tex]
Assume [tex]y = 70[/tex], we make use of:
[tex]x = 180 - 2y[/tex]
[tex]x = 180 - 2 * 70[/tex]
[tex]x = 180 - 140[/tex]
[tex]x = 40[/tex]
(1 point) Find ⋅ if =⟨−1,0,1⟩ and =⟨4,5,2⟩ Is the angle between the vectors "acute", "obtuse" or "right"?
Answer:
Obtuse.
Step-by-step explanation:
If we have a vector v = (a, b, c)
The magnitude of the vector is:
|v| = √(a^2 + b^2 + c^2)
And the dot product of two vectors:
v = (a, b, c)
w = (c, d, e)
is:
v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e
With that relation, we can find the angle between the two vectors.
In this case, we have:
v = ⟨−1,0,1⟩
then:
|v| = √( (-1)^2 + 0^2 + 1^2) = √2
And:
w = ⟨4,5,2⟩
then:
|w| = √( 4^2 + 5^2 +2^2) = √116
Then:
v.w = (√2)*(√116)*cos(θ) = (-1)*(4) + 0*5 + 1*2
(√2)*(√116)*cos(θ) = -4 + 2 = -2
(15.23)*cos(θ) = -2
cos(θ) = -2/15.23
θ = Acos( -2/15.23) = 97.5°
Then the angle is larger than 90°, so the angle is obtuse.
use the information given to find the value of n in each of the following sets of number
Answer:
No picture try uploading it again and I can see if I can help you
what is the value of x? i need the work for it as well thank you so much!
Answer:
x=19
Step-by-step explanation:
okay so all those angles there are pretty simple. because of the vertical angles theorem, the angles that go across from each other are equal to each other. On a thing like this those intersections are congruent. So knowing this we can assume that (6x+4)=118. so if you solve the basic algebra for that (you can use mathpapa or smt if you really need the work for that) then it comes out as x=19 which you can check.
6x+4=118
subtract 4 from both sides
6x=114
divide by 6 on both sides
x=19
Hope this helps!
Marulla's z score on a college entrance exam is 1.3. If the raw scores have a mean of 480 and a standard deviation of 70 points, what is her raw score?
Answer:
571
Step-by-step explanation:
We solve using z score.
z = (x-μ)/σ, where
x is the raw score = ?
μ is the population mean = 480
σ is the population standard deviation = 70
z = 1.3
Hence,
= 1.3 = x - 480/70
Cross Mulitiply
1.3 × 70 = x - 480
91 = x - 480
x = 480 + 91
x = 571
Therefore, Marulla's raw score is 571
A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!
Answer:
16/27
Step-by-step explanation:
12 boys and 16 girls
She already chose a boy so now there are (11+16) = 27 possible outcomes
There are 16 favorable outcomes(girl)
so the fraction is 16/27
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
please help in this........
Helloo!
I founded same type of question from Brainly! People who have been written this solving questions. Also search and check for this question on Brainly!! Or my advice to download course hero because there is so many subjects that you can work on it.
5 (x + 8) = -10 what's the answer
Answer:
x = - 10
Step-by-step explanation:
5(x + 8) = - 10
5x + 40 = - 10
5x + 40 - 40 = - 10 - 40
5x = - 50
5x ÷ 5 = - 50 ÷ 5
x = - 10