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]
Find the domain of f(x)= x^2+4
Answer:
(Negative Infinity to Positive Infinity)
Step-by-step explanation:
A domain is all x values that can go into a function. This is a quadratic. A quadratic can accept any real number so the domain is
[tex]all \: real \: numbers[/tex]
or
(Negative Infinity to Positive Infinity)
Tell the slope of a line that contains the points (5, − 3) and (7, 3).
Answer:
3
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3 - -3)/( 7-5)
= (3+3)/(7-5)
= 6/2
= 3
Answer:
[tex]m = 3[/tex]
Step-by-step explanation:
[tex]slope \: = m = \frac{y1 - y2}{x1 - x2} \\ = \frac{ - 3 - 3}{5 - 7} \\ = \frac{ - 6}{ - 2} \\ = 3[/tex]
Mary, Misa and Mandy have a combined height of 4.84 m. Mary is 9 cm/0.009m
shorter than Misa. Misa is 0.05 m taller than Mandy. How tall, in metres, is
Mandy?
Answer:
Mandy is 1.613 m tall
Step-by-step explanation:
Let us consider
Mary is A, Misa is B and Mandy is C
According to question,
A + B + C = 4.84 m...... (i)
From qsn
9 cm/0.009 m
= 9 cm/ 0.9 cm
= 10 cm
= 0.1 m
Then, A is 0.1 m shorter than B
i.e. A= B - 0.1 m
Also, B is 0.05 m taller than C
i.e B = C + 0.05m
We have to find height of C ( Mandy)
From eqn (i)
C = 4.84 - B - A
or, C = 4.84 - (C + 0.05) - ( B - 0.1)
or, C = 4.84 - C - 0.05 - B + 0.1
or, 2C = 4.89 - B
or, 2C = 4.89 - ( C + 0.05)
or, 2C = 4.89 - C - 0.05
or, 3C = 4.84
or, C = 4.84/3
or, C = 1.613 m
the fast train from london to coventry travels at an average speed of 83 km per hour . how long would it take to travel the distance of the distance of 166 km
2.
Simply do 166 divided by 83 and you'll have your answer
The lines shown below are perpendicular
Answer:
Step-by-step explanation:
y=(-1/3)x + 3
please help me out thank you so much whoever does !!
Determine the measure of the interior angle at vertex E.
Answer:
30
Step-by-step explanation:
5 sides Pentagon=540
3x+4x+4x+4x+3x=540
18x=540
x=540/18
x=30
6. Write an equation for the line that passes through (-4,4) and (8,8) in point-slope
form, slope-intercept form and standard form.
Point-Slope Form:
Slope-Intercept Form:
Standard Form:
Help!!
Answer:
Point-slope form:
[tex]y-4=\displaystyle\frac{1}{3}(x+4)[/tex]
[tex]y-8=m(x-8)[/tex]
Slope-intercept form:
[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]
Standard form:
[tex]-x+3y=16[/tex]
Step-by-step explanation:
Hi there!
1) Point-slope form
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex](x_1,y_1)[/tex] is a point on the line and m is the slope
First, determine the slope:
[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (-4,4) and (8,8):
[tex]m=\displaystyle\frac{8-4}{8-(-4)}\\\\m=\displaystyle\frac{8-4}{8+4}\\\\m=\displaystyle\frac{4}{12}\\\\m=\displaystyle\frac{1}{3}[/tex]
Therefore, the slope of the line is [tex]\displaystyle\frac{1}{3}[/tex]. Plug this into [tex]y-y_1=m(x-x_1)[/tex]:
[tex]y-y_1=\displaystyle\frac{1}{3}(x-x_1)[/tex]
Now, for [tex](x_1,y_1)[/tex], we can either plug in (-4,4) or (8,8):
[tex]y-4=\displaystyle\frac{1}{3}(x-(-4))\\\\y-4=\displaystyle\frac{1}{3}(x+4)[/tex]
or
[tex]y-8=m(x-8)[/tex]
2) Slope-intercept form
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
[tex]y=mx+b[/tex]
Plug in the slope
[tex]y=\displaystyle\frac{1}{3}x+b[/tex]
Now, to determine the y-intercept, plug in one of the points (-4,4) or (8,8) and solve for b:
[tex]8=\displaystyle\frac{1}{3}(8)+b\\\\8=\displaystyle\frac{8}{3}+b\\\\8-\displaystyle\frac{8}{3}=b\\\\b=\frac{16}{3}[/tex]
Therefore, the y-intercept is [tex]\displaystyle\frac{16}{3}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{3}x+b[/tex]:
[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]
3) Standard form
Standard form:
[tex]Ax+By=C[/tex] where A, B, and C are numbers which are typically integers
[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]
Organize this into standard form:
[tex]-\displaystyle\frac{1}{3}x+y=\displaystyle\frac{16}{3}[/tex]
Multiply both sides by 3 so A, B, and C are integers:
[tex]-x+3y=16[/tex]
I hope this helps!
find three consecutive even integers for which -4 times the sum of the first and third is 192
Answer:
-26-24-22Step-by-step explanation:
Let x be the smallest number (first)
Let (x + 2) be the second number (second)
Let (x + 4) be the greatest number (third)
Set equation according to the given information
-4 [x + (x + 4)] = 192
Simplify parentheses
-4 [x + x + 4] = 192
-4 [2x + 4] = 192
Expand bracket and apply the distributive property
(-4) · 2x + (-4) · 4 = 192
-8x - 16 = 192
Add 16 on both sides
-8x - 16 + 16 = 192 + 16
-8x = 208
Divide -8 on both sides
-8x / -8 = 208 / (-8)
[tex]\boxed{x=-26}[/tex]
Find the value of the second term
x + 2 = (-26) + 2 = [tex]\boxed{-24}[/tex]
Find the value of the third term
x + 4 = (-26) + 4 = [tex]\boxed{-22}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Someone plz help giving brainliest
Answer:
Its C.
Step-by-step explanation:
I had this and its C. trust me
help please asap its timed
Answer:
In a representation of 100, the percent change is just a number change, meaning 65 - 52, or 13 is that change. This means that the percent change from 65 to 52 is 13%
Step-by-step explanation:
Please help me out with part 3 i need this asap
Answer:
1) g(x) = 7
2) (-∞,∞)
3) 7
Step-by-step explanation:
A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the parts of the sum.
Answer:
Step-by-step explanation:
Let the greater part = x
Smaller part = 105 - x
2*(greater part) = (3*smaller part) - 15
2*x = 3*(105 -x) - 15
Use distributive property
2x = 3*105 - 3*x - 15
2x = 315 - 3x - 15
2x = 300 - 3x
Add 3x to both sides
2x +3x = 300
5x = 300
Divide both sides by 5
x = 300/5
x =60
Smaller part = 105 - 60 = 45
Greater part = Rs. 60
Smaller part = Rs. 45
3.3(n-8)-n=1.2
Simplify! ::)
Answer:
n=12
Step-by-step explanation:
3.3(n-8)-n=1.2
Distribute
3.3n -26.4 -n = 1.2
Combine like terms
2.3n -26.4 = 1.2
Add 26.4 to each side
2.3n -26.4+26.4 = 1.2 +26.4
2.3n = 27.6
Divide each side by 2.3
2.3n/2.3 = 27.6/2.3
n=12
the solution to the equation is n = 12. Let's simplify the given equation step by step: [tex]\(3.3(n - 8) - n = 1.2\)[/tex]
Step 1: Distribute the 3.3 to the terms inside the parentheses:
[tex]\(3.3n - 3.3 \times 8 - n = 1.2\)[/tex]
Step 2: Perform the multiplication:
[tex]\(3.3n - 26.4 - n = 1.2\)[/tex]
Step 3: Combine like terms:
[tex]\(3.3n - n = 1.2 + 26.4\)\\\(2.3n = 27.6\)[/tex]
Step 4: Isolate n by dividing both sides by 2.3:
[tex]\(n = \frac{27.6}{2.3}\)\\\(n = 12\)[/tex]
So, the solution to the equation is n = 12.
To know more about equation:
https://brainly.com/question/8651602
#SPJ3
Simplify each expression
Answer:
[tex]3. \: \: ( \frac{7}{8} ) ^{2} = \frac{ {7}^{2} }{ {8}^{2} } = \frac{49}{64} = 0.765 [/tex][tex]5. \: \: 8 + 5(7) = 8 + 35 = 43[/tex]
I hope I helped you^_^
WEIGHTS AND MEASURES
One pint is about 5/9 liter. Write 5/9 liter as a decimal.
Answer:
.55555555 infinitely or .556
Step-by-step explanation:
How tall are redwood trees? ( statistical not statistical
Answer:
It's a statistical question.
and there between 250-300 feet.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
URGENT!!!!!!!
For the function h defined by h(x)=2x^2 − 2, find h(0).
Answer:
h(0) = - 2
Step-by-step explanation:
Substitute x = 0 into h(x) and evaluate , that is
h(0) = 2(0)² - 2 = 2(0) - 2 = 0 - 2 = - 2
What is 15 percent of 1135? Explain how you came up with your solution and the actions you took.
Answer:
170.25
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 15 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 15, so we can write it down as 100%=15.
4. We know, that x% equals 1135 of the output value, so we can write it down as x%=1135.
5. Now we have two simple equations:
1) 100%=15
2) x%=1135
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=15/1135
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 1135 is what percent of 15
100%/x%=15/1135
(100/x)*x=(15/1135)*x - we multiply both sides of the equation by x
100=0.013215859030837*x - we divide both sides of the equation by (0.013215859030837) to get x
100/0.013215859030837=x
7566.6666666667=x
x=7566.6666666667
now we have: 170.25
We have to find,
→ 15% of 1135
The value of the percentage is,
→ 15 ÷ 100
→ 0.15
Let's find the solution,
→ 1135 × 0.15
→ 170.25
Hence, the answer is 170.25.
Find the distance between each pair of points (-4,6) and (3,-7)
Answer:
Here is your answer . Hope this helps you.
Answer:
[tex]\boxed {\boxed {\sf \sqrt{218} \ or \ 14.76}}[/tex]
Step-by-step explanation:
The formula for calculating the distance between 2 points is:
[tex]d= \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. The 2 points we are given are (-4, 6) and (3, -7). If we match the value with the corresponding variable we see that:
x₁ = -4 y₁ = 6 x₂ = 3 y₂ = -7Substitute the values into the formula.
[tex]d= \sqrt{(3 - -4)^2 + (-7-6)^2[/tex]
Solve inside the parentheses.
(3--4) = (3+4) = 7 (-7-6) = -13[tex]d=\sqrt {(7)^2 + (-13)^2[/tex]
Solve the exponents.
(7)²= 7*7 = 49 (-13)² = -13 * -13 = 169[tex]d= \sqrt{ (49)+(169)[/tex]
Add.
[tex]d= \sqrt{218}[/tex]
[tex]d=14.76482306[/tex]
If we round to the nearest hundredth place, the 4 in the thousandth place tells us to leave the 6.
[tex]d \approx 14.76[/tex]
The distance between the points (-4, 6) and (3, -7) is √218 or approximately 14.76.
factor of -2800 and -2
Answer:
isn't it just -2 it's the greatest common factor (GCF) of -2800 and -2
Step-by-step explanation:
Kathy has a total of 74 songs on cassettes and CDs in her music library. Each of her cassettes has 6 songs on it, and each
CD has 10 songs. If she has a total of 9 cassettes and CDs, how many of each does she have?
Answer:
4 cassettes and 5 CDs
Step-by-step explanation:
Create a system of equations
c is cassettes and d is CDs
6c+10d=74
c+d=9
I will use substitution
c=9-d
6(9-d)+10d=74
54-6d+10d=74
4d=20
d=5
Plug 5 back into the equation
c+5=9
c=4
Serena worked these hours last week: Monday 8, Tuesday 8, Wednesday 10, Thursday 5, Friday 8. She is paid
$12 per hour
how many hours did serena work last week ?
6. A cube has a volume of 5 feet?. What is the volume of the cube in in?
The answer is 60 inches.
Divide by rationalizing the denominator.
3+5i/10+3i
A. 25+47i/109
B. 60-18i/109
C. 100-30i/109
D. 45+41i/109
Answer:
D
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate of the denominator.
Note that i² = - 1
The conjugate of 10 + 3i is 10 - 3i , then
[tex]\frac{(3+5i)(10-3i)}{(10+3i)(10-3i)}[/tex] ← Expand numerator/denominator using FOIL
= [tex]\frac{30-9i+50i-15i^2}{100-30i+30i-9i^2}[/tex] ← simplify
= [tex]\frac{30+41i+15}{100+9}[/tex]
= [tex]\frac{45+41i}{109}[/tex] → D
I was thrown into this without any help
please help with geometry
Step-by-step explanation:
a) gradient= y2-y1/x2-x1
gradient of AB:
gradient=-4-1/2-3
=-5/-1
=5
gradient of BC:
=-5+4/7-2
=-1/5
b) as the priduct of both gradient is -1 ,both lines are perpendicular.
c) as we have seen lines are perpendicular so it is a right angled triangle.
Simplify 14^15/ 14^5
A 1^3
B 1^10
C 14^3
D 14^10
24/4 ÷ 10
please answer quickly
Answer:
0.48
Step-by-step explanation:
25/4 ÷ 10=0.48
Brainiest plz and hope it helped
Uma indústria produz mensalmente x lotes de um produto. O valor mensal resultante da venda deste produto é V(x) = 3x² + 400x e o custo mensal da produção é dado por C(x) = 5x² − 100x − 540. Sabendo que o lucro é obtido pela diferença entre o valor resultante das vendas e o custo da produção, calcule:
A) O número de lotes de produtos para maximizar o lucro?
B) Qual o lucro Mensal a indústria pode alcançar?
Answer:
The answer would be A
Step-by-step explanation: