Answer:
[tex] \frac{ - 31}{70} [/tex]Step-by-step explanation:
[tex] \frac{3}{5} + ( \frac{ - 6}{7} ) + ( \frac{ - 2}{5} ) + \frac{3}{14} [/tex]
[tex] = \frac{42 + ( - 60) + ( - 28) + 15}{70} [/tex]
[tex] = \frac{42 + 15 - 60 - 28}{70} [/tex]
[tex] = \frac{57 - 88}{70} [/tex]
[tex] = \frac{ - 31}{70} (ans)[/tex]
With 4 weeks remaining in the season, Lisa has 31 more homeruns than Mark. If Mark is to hit more homeruns than Lisa, he must average at least how many more homeruns per week than Lisa?
Answer:
31/4
= 7.75
So Mark has to average more than 7.75 homeruns per week.
Step-by-step explanation:
Mark me as brainliest.
Solve the following equation:
14a – (2a + 9) = {(12a - 18)
a =
Answer:
no solution
Step-by-step explanation:
14a – (2a + 9) = (12a - 18)
Distribute the minus sign
14a – 2a - 9 = (12a - 18)
12a -9 = 12a -18
Subtract 12a from each side
12a -9-12a = 12a-18-12a
-9 = -18
This is not a true statement so there is no solution
1Use the Zero Product Property to solve for x.
a. (x +13)(x - 7) = 0
b. (2x+ 3)(3x - 7) = 0
C. x(x-3) = 0
d. x^2 – 5x = 0
e. x^2 – 2x – 35 = 0
f. 3x^2 + 14x - 5 = 0
a. x + 13 = 0
x = -13
x-7= 0
x= 7
b. 2x +3 = 0
2x = -3
x= -3/2 or -1.5
3x -7 = 0
3x = 7
x = 7/3
c. x = 0
or x = 3
these you have to change it into that form first
d. x= 5
or x = 0
e. x= 7
or x = -5
f. x = 1/3 or -5
An object travels back and forth along a straight line. Its velocity, in centimeters per second, is given by the
function v(t)
= 13 sin(pi/(45)t), where t is time in seconds.
What is the maximum velocity of the object?
O 0 cm/s
O 13 cm/s
O 26 cm/s
O 90 cm/s
A function in mathematics is a relation between two sets such that each element of the first set is matched to exactly one of the second set element
The correct option for the maximum velocity of the object is the option;
13 cm/s
The reason for the selection is as follows:
The known parameters of the motion of the vehicle are:
The type motion of the vehicle = Repetitive back and forth
The path of the motion of the object = Along a straight line
The function that gives the velocity in centimeters per second (cm/s) is given as follows;
[tex]v(t) = \mathbf{13 \cdot sin \left(\dfrac{\pi}{45} \cdot t \right)}[/tex]
Where;
t = The time in seconds (a set of the input variables of the function)
v(t) = The velocity of the object (the output variables of the function)
The velocity of the object, v(t), depends (is given by) on the time t, therefore;
The maximum velocity is given at a particular value of t, which together with [tex]\dfrac{\pi}{45}[/tex] is operated by the sine function
The maximum output value of the sine function = 1, therefore;
[tex]\mathbf{Maximum \ value \ of \ sin \left(\dfrac{\pi}{45} \cdot t \right)_{max}} = 1[/tex]
[tex]The \ maximum \ velocity \ v(t)_{max}} = 13 \times sin \left(\dfrac{\pi}{45} \cdot t \right)_{max} = 13 \times 1 = \mathbf{ 13}[/tex]
The units of the of the function is cm/s
Therefore, the maximum velocity of the object is 13 cm/s
Learn more about functions here:
https://brainly.com/question/23999020
Answer: B. 13 cm/s
Step-by-step explanation:
Help anyone can help me do this question,I will mark brainlest.
Your answer is in the attachment .
Note: I have only done upto q.n d because you haven't clearly uploaded question of no. e. stay blessed !!!!!!
4 1/6 = 3 1/3c
WAHT?!? HOW IN THE WORLD DO YOU EVEN DO THIS?!?
Answer:
1 1/4 =c
Step-by-step explanation:
4 1/6 = 3 1/3c
Change the mixed numbers to improper numbers
4 1/6 = ( 6*4+1)/6 =25/6
3 1/3 = ( 3*3+1)/3 = 10/3
25/6 = 10/3c
Multiply each side by 3/10
25/6 * 3/10 = 10/3c * 3/10
3/6 * 25/10 = c
1/2 * 5/2 =c
5/4 =c
Change back to a mixed number
1 1/4 =c
(help pls), What numbers are a distance of 68 unit from 18 on a number line?
Select the locations on the number line to plot the points.
Shevonia wants to decrease her energy bill by 189. If her
electric bill is currently $348 a month, what will her bill be
if she is successful?
Answer:
$159
Step-by-step explanation:
$348-189
=$159
28 + 2h = 2h + 6. What does “h” equal?
2h – 2h = 28-6 —> 0 = 22
It cannot be solved because 2h -2h equals zero, so there is no h .
I need help solving this systems of equations problemn
Answer:
thequantity in column b is greater
Step-by-step explanation:
7a+b=33......(1)
3a-b=7.........(2)
(1)+(2)
7a+b+3a-b=33+7
10a+b-b=40
10a=40
a=4
in equation (1)
7*4+b=33
28+b=33
b=33-28
b=5
b>a
Point Q is the image of Q (0,6) under the translation (x,y) (x+7,y-5)
What are the coordinates of Q?
Answer
7, 1
Step-by-step explanation:
do math
Denver is 5,280 ft above sea level. Stone Mountain is 1,686 ft above sea level. How much higher is
Denver than Stone Mountain? Explain how you got your answer.
Answer:
3,594
Step-by-step explanation:
It is asking *than* which means subtraction. so simply subtract and you get the answer
not hard!
I will give brainliest to correct answer
-2^2(-5x+10)=100 solve for x
Answer:
x = 7 would be the correct answer to your question.
I hope this helped! :D
What’s m=y2-y1 divided by x2-x1 for Y2
Answer:
slope formula
Step-by-step explanation:
find the value p with working
Answer:
64/672/882(986)*866772
How much money does an employee working
for a salary of $52,000 per year get paid
monthly?
A. $52,000 per month
B. $1,000 per month
C. $2,000 per month
D. $4,333 per month
Answer:
433
Step-by-step explanation:
433. . . . . . . ............,.. srry it made me write this much to answer
Answer:
The correct answer would be D!Step-by-step explanation:
Employee's salary: $52,000
Months in a year: 12
52000 / 12 = 4,333.333(r)
Closest answer: D
Need help on this hm THE MIDDLE ONE
Answer:
{0, 1, -1}
Step-by-step explanation:
2x - 6 = 3x + 1 - x - 7
2x - 6 = 2x - 6
0 gives you -6 = -6
1 gives you -4 = -4
-1 gives you -8 = -8
b) Convert 101, into denary number
If 101 is given in base b, then in base 10 you have
[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]
For instance, if b = 2, then
101₂ = 2² + 1 = 5₁₀
If b = 3, then
101₃ = 3² + 1 = 9₁₀
If b = 4, then
101₄ = 4² + 1 = 17₁₀
The answer depends entirely on the base of the given number.
Write an algebraic expression for each verbal expression. 1. the sum of k and 8
2. 17 less than a number x times 9
6. four times the difference of a cubed and 8
PLZ HELP ASAP
Answer:
k + 8 = y
9x - 17
4(x²-8)
What is the transformation shown in the graph?
6
c
A
360° rotation
180° rotation
90° rotation
reflection
Answer:
Reflection is shown in the graph.
Half the difference of a number n and 20 is 30. What is the number?
Answer:
80Step-by-step explanation:
Half the difference of a number n and 20 ⇒ (n - 20)/2... is 30 ⇒ = 30Solve the equation for n:
(n - 20)/2 = 30n - 20 = 30*2n - 20 = 60n = 60 + 20n = 80The number is 80
Answer:
Number is 40
Step-by-step explanation:
Let the number be n
(n - 20)/2 = 30
(n - 20) = 2 × 30
n = (2 × 30) + 20
n = 60 + 20
n = 80
what is the value of x when the distance between the points (-2,-3) (-3,x) is equal to 5
Answer:
(-3,-4)
Step-by-step explanation:
The function f(x)=x^2+2 is not one to one. Determine a restricted domain that makes it one to one and find the inverse function
Answer:
Hope it helped
Step-by-step explanation:
The restricted domain that makes the given function one to one is (-∞,0] or [0.∞) and the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .
What is inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function.
Now the given quadtratic function is,
f(x) = x² + 2
Now vertex of the given quadratic function is (0,2)
Thus the range of the function is [2,∞)
If we restrict the domain of this function to either (-∞,0} or [0.∞), it will become one to one function.
Now the inverse function is given as,
y = x² + 2
Upon interchanging x and y, we get:
x = y² + 2
⇒ y² = x - 2
or, y = ±[tex]\sqrt{x-2}[/tex]
Hence, the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .
Thus, the restricted domain that makes the given function one to one is (-∞,0] or [0.∞) and the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .
To learn more about function :
https://brainly.com/question/17210215
#SPJ2
Solve for x: -2 - 4 > 8
(9th grade Algebra 1)
Answer:
A
Step-by-step explanation:
-2x-4>8
-2x>12
-x>6
x<-6
Answer:
[tex]x < - 6[/tex] (first option)
Step-by-step explanation:
[tex] - 2x - 4 > 8[/tex]
[tex] - 2x > 8 + 4[/tex]
[tex] - 2x > 12[/tex]
[tex] = x < - 6[/tex]
600 miles/day into miles per hour
Solve the fraction problems and reduce the answer to its lowest form:-
1)7/10×2/21
2)9/16×10/21
3)11/12×26/55
4)2/6×18/12×2/3
5)5/6×9/10
Answer:
1/1515/5613/301/33/4Step-by-step explanation:
1) 7/10 × 2/21
1/15
2) 9/16 × 10/21
90/336
15/56
3) 11/12 × 26/55
13/30
4) 2/6 × 18/12 × 2/3
72/216
1/3
5) ⅚ × 9/10
45/60
3/4
help whhhahahahaha Helpppppppp
Answer:
320/420 = 4/3
Step-by-step explanation:
4/7= x /560
Cross multiply
7x = 2240
Divide by 7:
x=320
The school has 320 boys and 240 girls
I hope this helps u:)
Answer:
Problem(1): [tex]21[/tex]
Problem(2): Side length = [tex]\frac{1}{4}[/tex] Area = [tex]\frac{1}{16}[/tex]
Problem(3): Boys = [tex]320[/tex] Girls = [tex]240[/tex]
Step-by-step explanation:
(Notes steps are cut from this answer so that it isn't too long)
1. Problem (1)
One is given the following information:
[tex]x+\frac{1}{x}=5[/tex][tex](x-\frac{1}{x})^2[/tex]The most logical first step is to solve for the value of (x). One can solve for the numerical value of (x) with the first equation.
[tex]x+\frac{1}{x}=5[/tex]
Multiply the entire equation by (x),
[tex]x^2+1=5x[/tex]
Inverse operations put the equation in the general format of a quadratic equation. The general format of a quadratic equation is as follows,
[tex]ax^2+bx+c=0[/tex]
Put the given equation in this format,
[tex]x^2-5x+1=0[/tex]
Now use the quadratic formula to solve for the value of (x). The quadratic formula uses the coefficients of the terms in a quadratic equation to find the roots of the equation. The quadratic formula is as follows,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Use the coefficients of the terms in the given quadratic equation in the formal, then simplify to solve for solutions of the given equation,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]
Simplify,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]
[tex]\frac{5(+-)\sqrt{21}}{2}[/tex]
Now substitute these values into the equation and simplify, even though there are two values of (x), there will only be one solution,
[tex]((\frac{5+\sqrt{21}}{2}-\frac{1}{\frac{5+\sqrt{21}}{2}})^2[/tex] [tex]((\frac{5-\sqrt{21}}{2}-\frac{1}{\frac{5-\sqrt{21}}{2}})^2[/tex]
[tex](\frac{5+\sqrt{21}}{2}-\frac{2}{5+\sqrt{21}})^2[/tex] [tex](\frac{5-\sqrt{21}}{2}-\frac{2}{5-\sqrt{21}})^2[/tex]
Convert to a common denominator,
[tex](\frac{5+\sqrt{21}}{2}*\frac{5+\sqrt{21}}{5+\sqrt{21}}-\frac{2}{5+\sqrt{21}}*\frac{2}{2})^2[/tex] [tex](\frac{5-\sqrt{21}}{2}*\frac{5-\sqrt{21}}{5-\sqrt{21}}-\frac{2}{5-\sqrt{21}}*\frac{2}{2})^2[/tex]
[tex](\frac{(5+\sqrt{21})^2-4}{2(5+\sqrt{21})})^2[/tex] [tex](\frac{(5-\sqrt{21})^2-4}{2(5-\sqrt{21})})^2[/tex]
Simplify,
[tex](\frac{25+10\sqrt{21}+21-4}{10+2\sqrt{21}})^2[/tex] [tex](\frac{25-10\sqrt{21}+21-4}{10-2\sqrt{21}})^2[/tex]
[tex](\frac{42+10\sqrt{21}}{10+2\sqrt{21}})^2[/tex] [tex](\frac{42-10\sqrt{21}}{10-2\sqrt{21}})^2[/tex]
[tex]\frac{1764+840\sqrt{21}+2100}{100+40\sqrt{21}+84}[/tex] [tex]\frac{1764-840\sqrt{21}+2100}{100-40\sqrt{21}+84}[/tex]
[tex]\frac{3864+840\sqrt{21}}{184+40\sqrt{21}}[/tex] [tex]\frac{3864-840\sqrt{21}}{184-40\sqrt{21}}[/tex]
[tex]21[/tex]
2. Problem (2)
All four sides of a square are congruent (have the same measure), thus dividing the perimeter of a square by (4) will yield the side length of the square,
[tex]Perimeter\ of\ the\ square: 4\\Side\ length: \frac{1}{4}[/tex]
The area is the two-dimensional space that a figure takes up, in the case of a square, the area is the side length times itself:
[tex]A=(\frac{1}{4})^2=\frac{1}{16}[/tex]
3. Problem (3)
Let (x) represent the amount by which the ratio of boys to girls was scaled down. Assuming that these are the only two genders in the school, one can state that the sum ratio coefficients times the scaling value for both boys and girls, will equal the total number of people in the school. Thus, one can form the following equation and solve it with inverse operations and simplification,
[tex]boys + girl = total\ students\\4x + 3x = 560\\7x = 560\\x = 80[/tex]
Now substitute this into the expression for the two genders in this scenario, respectively, to solve for the actual number of students of that gender,
Boys, Girls,
[tex]4(x)[/tex] [tex]3(x)[/tex]
[tex]4(80)[/tex] [tex]3(80)[/tex]
[tex]320[/tex] [tex]240[/tex]
any advice on geometry
Answer:
Just study and pay attention in class and take good notes. I would say that you should pay more attention when they teach you the trigonometry unit.
8. 7.6 + (-7.1) = what does it equal plz help
Answer:
vsddddddddddddddddddddddddddddddddddddddddddddddddddddddbgtresxvzjdhdf;lsjb
Step-by-step explanation:
(7-4) + 17 / -14 + 2 x 5
Answer:
165/14
Step-by-step explanation:
(7-4) + 17 / -14 + 2 x 5
3 + 17/-14 + 2 x 5
3 - 17/14 + 2 x 5
3 - 17/14 + 10
165/14
