Answer:
x = 16.1051577
Step-by-step explanation:
tan0 = opp/adj
tan0 = 14/x
tan(49)× 14 = 16.1051577
PLEASE HELP, I UNDERSTAND BUT DONT UNDERSTAND
Answer:
(7/12) + (4q/6)
Step-by-step explanation:
[tex] \frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3} \\ = \frac{11}{12} + \frac{4}{6} q - \frac{1}{3} \\ = \frac{11}{12} - \frac{1}{3} + \frac{4}{6} q \\ = \frac{11}{12} - \frac{4}{12} + \frac{4}{6} q \\ = \frac{7}{12} + \frac{4}{6} q[/tex]
Answer:
Step-by-step explanation:
Like terms have same variable with same power.
(11/12 and 1/3 are like terms) & (-1q/6 & 5q/6 are like terms}
[tex]\dfrac{11}{12}-\dfrac{1}{6}q+\dfrac{5}{6}q-\dfrac{1}{3}=(\dfrac{11}{12}-\dfrac{1}{3})-\dfrac{1}{6}q+\dfrac{5}{6}q\\\\=(\dfrac{11}{12}-\dfrac{1*4}{3*4})+[\dfrac{-1+5}{6}]q\\\\=(\dfrac{11}{12}-\dfrac{4}{12})+\dfrac{4}{6}q\\\\=\dfrac{(11-4)}{12}q+\dfrac{4}{6}q\\\\=\dfrac{7}{12}+\dfrac{4}{6}q[/tex]
4 - 2(x-4)/ 3= 3(2x+5)/2
linear equation in one variable
no spamms❌❌❌❌
Step-by-step explanation:
4-2x+8/3 = 6x+15/2
12-2x+8/3= 6x+15/2 ( taken LCM. of 1,3,3 in LHS)
20-2x/3=6x+15/2
Do cross multiplication
2(20-2x) = 3(6x+15)
40-4x=18x+45
-4x-18x=45+40
-22x= 85
-x= 85/22
x= - 3.86..
hope it helps
Is the expression 2•4 equal to the expression 8x? Explain your answer
9514 1404 393
Answer:
no
Step-by-step explanation:
The expression 2·4 has the value 8.
The expression 8x has the value 8x, which is only equal to 8 when x=1. In general, x may have any value, so the expressions are not equal.
Which equation represents a population of 490 animals that increases at an annual rate of 20% ?
Answer:
Step-by-step explanation:
The standard form of this exponential function is
[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is
[tex]y=490(.2)^x[/tex]
Midpoints & endpoints
Answer:
The coordinates of A are (1, -4)
Step-by-step explanation:
The formula for finding a midpoint is ((x1 + x2) / 2, (y1 + y2) / 2)
However, in this problem, we're already given the midpoint. We're trying to find an endpoint. So, the equation changes into:
((x + 9) / 2 = 4, (y + 0) / 2 = -2)
For the x and y coordinates, multiply both sides by 2
(x + 9 = 8, y = -4)
(x = -1, y = -4)
Rewrite as coordinates.
(-1, -4)
0.5t + 0.25(t +16) =4 + 0.75t
Answer:
0.5t + 0.25(t +16) =4 + 0.75t
0.5t + 0.25t + 4 = 4 + 0.75t
0.5t+ 0.25t – 0.75 t = 4– 4
0.5t +0.25t–0.75t = 0 —> 0 = 0
I hope I helped you^_^
Answer: All Real Numbers or A.R.N
Step-by-step explanation:
Given
0.5t + 0.25 (t + 16) = 4 + 0.75t
Expand parentheses and apply the distributive property
0.5t + 0.25 · t + 0.25 · 16 = 4 + 0.75t
0.5t + 0.25t +4 = 4 + 0.75t
Combine like terms
0.75t + 4 = 4 + 0.75t
Subtract 0.75t on both sides
0.75t + 4 - 0.75t = 4 + 0.75t - 0.75t
4 = 4
Since both sides are left with the same term, this means any number would be able to make the equation true.
Therefore the answer would be All Real Numbers, or [tex]\boxed{A.R.N}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
find EF given E (-7, -2) and B (11, 3)
how do i solve this?
Answer:
EF ≈ 18.68
Step-by-step explanation:
Based on the info I am given I believe they are asking for the distance between E and F (i think you wrote B by mistake). (d = distance)
d =√ (x2 - x1)² + (y2 - y1)² --> (this is the distance formula)
d =√ (11 - (-7))² + (3 - (-2))²
d =√ (18)² + (5)²
d =√ 324 + 25
d =√ 349
d ≈ 18.68
Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
х
y
6
2.
А
12
4
30
10
х
у
3
1.8
B
7
4.2
9
5.4
T
y
4
1.2
с
8
2.4
13
3.9
Answer:
C
Step-by-step explanation:
y=kx or xy=k are true such that k=0.3
in C, 1.2=4*0.3, 2.4=8*0.3, and 3.9=13*0.3, so C follows this rule
[tex]\frac{1}{3} (21y + 39) = -36[/tex]
1/3(21y+39)=-26 can be simplified into
7y +13 = -26
Next, subtract 13 from both sides
7y= -39
Now divide both sides by 7
Your answer is y=-39/7
Answer:
y = -7
Step-by-step explanation:
1/3 (21y+39) = -36
Distribute
7y +13 = -36
Subtract 13 from each side
7y+13-13 = -36-13
7y = -49
Divide each side by 7
7y/7 = -49/7
y = -7
2(2t+4)=3/4(24−8t) please help
Step-by-step explanation:
the process is shown above hope you understand.
can someone help me please?
[tex]\\ \sf\longmapsto \dfrac{2}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1(5)}{2(5)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{5}{10}[/tex]
[tex]\\ \sf\longmapsto 0.5[/tex]
#2
[tex]\\ \sf\longmapsto \dfrac{3}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3(25)}{4(25)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{75}{100}[/tex]
[tex]\\ \sf\longmapsto 0.75[/tex]
#3
[tex]\\ \sf\longmapsto \dfrac{7}{8}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7(125)}{8(125)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{875}{1000}[/tex]
[tex]\\ \sf\longmapsto 0.875[/tex]
#3
[tex]\\ \sf\longmapsto \dfrac{3}{8}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3(125)}{8(125)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{375}{1000}[/tex]
[tex]\\ \sf\longmapsto 0.375[/tex]
Plz Help!!
Kim is planning to rent a bike. It costs $15 per day plus $5 per hour. Kim's total bill was $100, how many hours did she rent the bike?
Answer:
17 hours
Step-by-step explanation:
total cost = fee + cost per hour * hours
100 = 15 + 5h
Subtract 15 from each side
100-15 = 5h
85 = 5h
Divide by 5
85/5 = 5h/5
17 =h
Answer:
Kim rent the bike for 17 hours.
Step-by-step explanation:
h=hours
15 + 5h = 100
Subtract 15 on both sides.
5h = 85
Divide 5 on both sides.
h = 17
can someone solve this for me?
Help please.
Simplify: 2 + 3i / 4 + 2i
Answer:
○ [tex]\displaystyle \frac{7 + 4i}{10}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{2 + 3i}{4 + 2i} → \frac{2 + 3i[4 - 2i]}{4 + 2i[4 - 2i]} = \frac{14 + 8i}{20} = \boxed{\frac{7}{10} + \frac{2}{5}i}[/tex]
When dividing complex numbers, multiply the denominatour and numeratour by the conjugate of the denominatour. Then simply towards the end.
* Here is something you should know:
[tex]\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\: [every\:multiple\:of\:four][/tex]
I am joyous to assist you at any time.
How do you translate "Twelve decreased by a quarter of number, x. in a variable expression
Answer:
12 - (¼*x)
Step-by-step explanation:
If something is "decreased by" in mathematics we are looking at a minus sign (-).
For instance 5 decreased by 2 is 5 - 2
Monica has $10-off coupon. write an expression that describes the cost of t T-shirts, not including sales tax.
Answer:
19.95t - $10
Step-by-step explanation:
I think this is the answer but i could be absolutely wrong
find the measures of the labeled angles
Answer:
4x° = (80 - x)°
Step-by-step explanation:
These angles are known as vertical angles. Vertical angles are equal to one another.
Answer:
64
Step-by-step explanation:
4x=80-x
16×4=64
80-16=
n the expression below, the letters A,B, C, D and E represent the numbers 1, 2, 3, 4
and 5 in some order.
A×B +C ×D +E
What is the largest possible value of the expression?
Answer:
A × B + C × D + E
1 × 2 + 3 × 4 + 5
= 19
if a set of 14 pens is 12.44 then what is the cost of each pen
Answer:
Convert to a decimal by dividing the numerator by the denominator.
$1.15 = Estimate.
pens per then .
Step-by-step explanation:
14 Divided 12.44
if two rectangles have the same perimeter, do they have to be congruent??
Answer:
No they do not have to be congruent.
Two rectangles with the same perimeter but may not be congruent, because the length and width dimensions of each may be different.
How do you factorise with letters and numbers please explain clearly example
7ab+14b how do I put that in brackets and what are the rules when factoring
Answer:
7b(a+2)
Step-by-step explanation:
First. look at the coefficient. See if they are common multiple of some number. If so find the GCF between them.
Then find the variable both terms share.
Put the GCF coeffiecnt and the variable both terms share outside the parentheses.
Inside the parenthesis will be a term that multiplied by the term outside of the parenthesis will equal the original equation.
For example, 7ab+14b.
Set up equation.
[tex]7ab + 14b[/tex]
Both terms share a b variable and 7 and 14 GCF is 7 so
let factor out 7b.
[tex]7b(a + 2)[/tex]
Why is inside the parenthesis is the term (a+2). If we divide 7ab+14b by 7b separately we get
[tex]a + 2[/tex]
Claire is c years old now. In 6 years' time she will be 18.
Answer:
12
Step-by-step explanation:
she is now 12 years old.how easy question.
Simplify. (4x^2 - 2x) (-3x^2 - 4x^2 +1)
A) -12x^5 - 10x^4 + 8x^3 + 4x^2 -2x
B) -12x^5 -22x^4 - 8x^3 + 4x^2 - 2x
C) 12x^5 - 10x^4 +8x^3 + 4x^2 -2x
D) 12x^5 - 22x^4 - 8x^3 + 4x^2 - 2x
Answer: Is the equation enered correctly?
1. The second term, (-3x^2-4x^2+1) is the same as (-7x^2 + 1)
2. I don't see how the answer could contain an x^5 term. The largest I see from the information is x^4
Step-by-step explanation:
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
Give an example of a repeating decimal where
two digits repeat. Explain why your number is a rational number.
Answer:
0.63636363~ (63 repeats, cant find the symbol here :( )
rational number means it can be expressed as a fraction, 0.636363636~ =7/11
What is the equation of the line that passes through the point (8,1) and has a slope
of –3/4?
Answer:
[tex]y=-\frac{3}{4}x+7[/tex]
Step-by-step explanation:
The slope is already given as [tex]-\frac{3}{4}[/tex] so all we have to do is solve for y-intercept
First, write the equation in slope-intercept form
[tex]y=-\frac{3}{4}x+b[/tex]
Next, use the point to substitute the x and y value and solve for the y-intercept
[tex]y=-\frac{3}{4} x+b[/tex] where b = y-intercept
point: (8, 1)
[tex]1=-\frac{3}{4}(8)+b[/tex]
Then multiply 8 and -3/4
[tex]1=-6+b[/tex]
Finally, solve for the b (y-intercept)
b = [tex]1--6[/tex]
b = 7
so the y-intercept is 7
And the equation of the line that passes through the point (8, 1) and has a slope of -3/4 is [tex]y=-\frac{3}{4}x+7[/tex]
Evaluate :
A. [tex]x^{x^3}=3[/tex]
B. [tex]4^x +6^x =9^x[/tex]
Answer:
A. [tex]x^{x^3} = 3[/tex]log [tex]x^{x^3}[/tex] = log 3x³ log x = log 33x³ log x = 3 log 3x³ log x³ = log 3³[tex]x^3^{x^3}[/tex] = 3³x³ = 3x = [tex]3^{1/3}[/tex]B.4ˣ + 6ˣ = 9ˣ2²ˣ + 2ˣ3ˣ = 3²ˣDivide both sides by 2²ˣ
1 + (3/2)ˣ = (3/2)²ˣSubstitute (3/2)ˣ = t
t² - t - 1 = 0Solve for t:
t = (1 ± √5)/2Positive root is considered as (3/2)ˣ can't be negative.
(3/2)ˣ = (1 + √5)/2x = log [(1 + √5)/2] / log (3/2)x = 1.18681439028You have a cup with 19 coins inside. The total inside the cup is $1.30. Determine how many nickels and dimes are inside the cup. Use a system of equations. Be sure to defined the variables and show all your work. PLS HELP!
Answer:
7 dimes and 12 nickels.
Step-by-step explanation:
12 nickels = $0.60 and 7 dimes = $0.70. $0.70 + $0.60 = $1.30.
Find the value of x and y
2x+7y=4
-4x-3y=14
Answer:
x=-5 y=2
Step-by-step explanation:
1) multiplying equation 1 by 4 and multiplying equation 2 by 2 .
2)adding them we get value of y.
3) replacing value of y in either of given equation
Match each value with its formula for ΔABC.
(choices are in 2nd pic)
Answer:
1- x b
2-sinc
3-sin b
4-sin a
5- x c
6- x a
Step-by-step explanation:
