solve for x. Round to the nearest tenth, if necessary.
Answer:
50.8°
Step-by-step explanation:
In ∆ IJK :-
sin x = 6.2/8 x = sin -¹ ( 62/80) x = sin -¹ ( 31/40 ) x = 50.8°if f(x)= 3^x+10x and g(x)= 2(x) = 2x - 4 find (f+g)(x)
Answer:
(f + g)(x) = 3^x + 12x -4
Step-by-step explanation:
Here, we want to get the value of (f + g)(x)
Mathematically, we have this as;
(f + g)(x) = f(x) + g(x)
= 3^x + 10x + 2x-4
= 3^x + 12x -4
At Billy's school, 80 students come to school by bicycle or by car. Together, the vehicles they arrive to school in have 270 wheels. How many of each are used
Answer:
x = number of bicycles = 35
y = number of cars = 55
Step-by-step explanation:
Let
x = number of bicycles
y = number of cars
x + y = 80 (1)
2x + 4y = 270 (2)
From (1)
x = 80 - y
Substitute x = 80 - y into (2)
2x + 4y = 270 (2)
2(80 - y) + 4y = 270
160 - 2y + 4y = 270
- 2y + 4y = 270 - 160
2y = 110
y = 110/2
y = 55
Substitute y = 55 into (1)
x + y = 80 (1)
x + 55 = 80
x = 80 - 55
x = 35
x = number of bicycles = 35
y = number of cars = 55
How many terms are in the algebraic expression
Also, What do they mean by "Terms"
Answer:
There are 4 terms
Step-by-step explanation:
A term is a single mathematical expression. Terms can be identified with a plus or minus sign in front of them. Terms can also be multiplied and divided.
So, in this case, the terms are:
-7
12x^4
-5y^8
x
CH 2. PPLYNOMIALS 1. The number 0 is called a
Step-by-step explanation:
The number 0 is called a. zero polynomial. binomial.
zigya
A basketball-player scores a free-throw with probability 0.9. What is the probability that her first miss occurs on the 6th shot
Answer:
[tex]Pr = 0.059049[/tex]
Step-by-step explanation:
Given
[tex]p = 0.9[/tex] --- probability of scoring
Required
Probability that his first miss is his 6th shot
Let q represent the event that he did not score.
Using complement rule:
[tex]q = 1 - p = 1 - 0.9 = 0.1[/tex]
The event that his first miss is his 6th is represented as:
p p p p p q ---- That he scoress the first 5 attempts
So, the probability is:
[tex]Pr = p^5 * q[/tex]
[tex]Pr = 0.9^5 * 0.1[/tex]
[tex]Pr = 0.059049[/tex]
Hey guys please try this is kinda urgent. what is the value of x in the geometric progression. 16/9 , x, 1, y.
============================================================
Explanation:
Let r be the common ratio. Also, we'll make r nonzero, i.e. [tex]r \ne 0[/tex]
Multiplying this common ratio by any term gets us the next term of the geometric sequence.
16/9 is the first term, so that makes (16/9)*r the second term
Since (16/9)r is the second term, the third term is (16/9)r*r = (16/9)r^2
Set this equal to 1 and solve for r.
(16/9)r^2 = 1
r^2 = 1*(9/16)
r^2 = 9/16
r = sqrt(9/16) or r = -sqrt(9/16)
r = 3/4 or r = -3/4
Now that we know what r is, we can determine the second term
If r = 3/4, then,
(16/9)*r = (16/9)*(3/4) = 4/3
Or if r = -3/4, then,
(16/9)*r = (16/9)*(-3/4) = -4/3
So the second term is either 4/3 or -4/3 depending on which r value you go for.
Maths problem
Mass
Solve the problems below.
1. A box has 3 books. Each book has a mass of 250g.
(a) What is their total mass?
Answer:
250 x 3 = 750g
750g is your final answer
A bag contains 13 blue marbles, 12 red marbles, 6 yellow marbles, and 8 green marbles. What is the probability of picking a red marble, putting that one back and then picking another red marble?
Answer:
(12/39) * (12/39) or 16/169
Step-by-step explanation:
Which of the Following best describes a cylinder?
Answer:
D
Step-by-step explanation:
all the options seems similar..but i can find the D more suitable
Which inequality describes the graph?
Answer:
1 describe the inequality graph
the ratio of boys to girls is 4:3 .if there are 24boys ,how many are there?
Answer:
[tex]{ \bf{total \: ratio = 4 + 3 = 7}} \\ { \tt{let \: population \: be \: p}} \\ \frac{4}{7} \times p = 24 \\ 4p = 168 \\ p = 42 \\ { \bf{there \: are \: 42 \: people}}[/tex]
Boys to girls- 4:3
Boys and girls- 24 and x (let the girls be x)
4/3=24/x
=4x= 72
= x= 72/4
= x= 18 girls
Ans: There are 42 children (24+18)
Type your response in the box. Imagine that this graph represents the distance Brianna travels to get to her babysitting job with respect to time. Describe a relation that the graph may represent.
Answer:
Brianna left home and drove 3 miles in 6 minutes. She then stopped for 4 minutes to pick up coffee. Finally, she traveled the last 4 miles in 6 minutes to arrive at her babysitting job.
Step-by-step explanation:
This answer is from Plato.
7. The revenue for the school play is given by: R= -50t^2 + 300t , where “t” is the ticket price in dollars. The cost to produce the play is given by: C = 600-50t. Determine the ticket price that will allow the school play to break even. (Note: breaking even means that revenue = cost.) Sketch the graphs of both equations as seen on your calculator (indicate the window you used
in the space provided).
Answer:
R= -50t^2 + 300t
-50tt(t-6)
-50(t-12)
so lets say that they sold 10 dollar tickets
-5000(4)
so they would lose -20000 dollars
-50(-2)
and the play would cost 100 dollars
Hope This Helps!!!
if u help me i will give you brainliest <3
Answer:
a) 6
b) 12:35 ( not so sure about this one)
Step-by-step explanation:
a)
distance = speed * time
ruths distance = 4* 1.5 (because it takes her 1h 30 mins)
distance = 6miles
b) 1/4 here is quarter so, 15mins
10:30 and then add 50 mins to that.
she leaves at 11:20 and takes 1h and 15 mins ( 75mins) to walk home
so 11:20 + 1h 15min
= 12:35
hope this helps :)
Answer:
a) 6 miles
b) 12:35 pm
Step-by-step explanation:
a) 9 am to 10:30 am = 1 hour and 30 mins = 1.5 hours
4mph x 1.5 = 6miles
b) 10:30 am + 50 mins = 11:20 am
1 hour = 60 mins
60/4 = 15 mins
1 1/4 = 1 hour 15 mins
11:20 am + 1 hour 15 mins = 12:35 pm
What are the steps in order of operations
The velocity of a car over five hours is given by v(t) = 60 ln(t + 1), 0 < t < 5
in kilometers per hour. What is the total distance traveled from t = 0 to t = 5?
Round your answer to the nearest whole number and do not include units.
Answer:
345
Step-by-step explanation:
The velocity of a car over five hours is given by:
[tex]\displaystyle v(t)=60\ln(t+1),\, 0 \leq t \leq 5[/tex]
And we want to find the total distance traveled from t = 0 to t = 5.
Recall that distance is the integral of the absolute value of the velocity function. Since we want to find the total distance traveled from t = 0 to t = 5, our limits of integration are t = 0 and t = 5. Hence:
[tex]\displaystyle D=\int_0^5 |\underbrace{60\ln(t+1)}_{v(t)}|\, dt[/tex]
Since v(t) ≥ 0 for all t in the interval [1, 5], we can remove the absolute value. Use a calculator:
[tex]\displaystyle D=60\left(6\ln(6)-5)=345.0334...\approx 345[/tex]
Can someone help me with this math homework please!
Answer:
The first answer
Step-by-step explanation:
Domain refers to the set of x values and range refers to the set of y values. Since x goes from 0 to 3, and does not exclude any values within those numbers, the first answer applies to that set.
Answer:
option 1
that is
{t| 0 <= t <= 3}
Step-by-step explanation:
as the graph plots height ove time
time will be the domain, taken on the x axis, with values ranging from 0 to 3.
so the domain is
{t| 0 <= t <= 3}
Ethan buys 4 pack of muffins. he uses a coupon an saves 2$ off total.
Which expression represents his total cost?
Answer:
4x-2
Step-by-step explanation:
X=muffins
Find the height h of the triangle.
Answer:
A, 12 times the square root of 3
Step-by-step explanation:
24 sqaured plus 12 squared=432
square root of 432=20.9
12 times the sqaure root of 3=20.9
Find the length of the line AB if A is (-2,3) and B is (5,7)
Answer:
[tex]{ \tt{length = \sqrt{ {( - 2 - 5)}^{2} + {(3 - 7)}^{2} } }} \\ = \sqrt{65} \\ = 8.06 \: units[/tex]
Please help me with this
Answer:
52 in^2
Hope this helps!
A rectangle has a perimeter of 80 cm and its length is 1 cm more than twice its width. Find the dimensions of a rectangle given that its perimeter is 80 cm and its length is 1 cm more than twice its width. Set up your solution using the variables L for the length, W for the width, and P for the perimeter. Part a: Using the definition of the perimeter, write an equation for P in terms of L and W. Part b: Using the relationship given in the problem statement, write an equation for L in terms of W. Solve the equations from parts a and b. Part c: The length is ? Cm. Part d: The width is? Cm.
Answer: (a) P = 6W + 2
(b) L = 2W + 1
(c) Width = 13cm
Length = 27cm
Step-by-step explanation:
The formula for perimeter of a rectangle is 2(length + width). Since the length is 1 cm more than twice its width, then the length will be:
L = (2 × W) + 1
(b) L = 2W + 1
Therefore, P = 2(L + W)
P = 2( 2W + 1) + 2W
P = 4W + 2 + 2W
(a) P = 6W + 2
Since perimeter is given as 80cm. Therefore,
P = 6W + 2
6W + 2 = 80
6W = 80 - 2
6W = 78
W = 78/6
W = 13
Width is 13cm
Length = 2W + 1
Length = 2(13) + 1
Length = 27cm
The width of the rectangle is 13cm and the length is 27cm.
Description of a rectangleA rectangle is a quadrilateral. Opposite sides are equal. The four angles in a rectangle is equal to 90 degrees.
The formula for determining the perimeter of a rectangle = 2x (length + width)
P = 2(L + W)
Perimeter = 80 length = 1 + 2w Width = w Determining the values of width and length80 = 2(1 + 2w + w)
80 = 2(1 + 3w)
40 = 1 + 3w
40 - 1 = 3w
39 = 3w
w = 13cm
Length = 1 + 2(13) = 27cm
To learn more about rectangles, please check: https://brainly.com/question/16595449
HELP. Drag the tiles to the correct boxes to complete the pairs.
Match each product of complex numbers with its value.
Answer:
[tex]i^{2} (2i^{2} -5)[/tex]
[tex]2i^{2} \times i^{2} -5i^{2}[/tex]
[tex]2(-1)(-1)-5(-1)[/tex]
[tex]2+5[/tex]
[tex]=7[/tex] [tex]i^{2}(2i-5)[/tex]
------------------
[tex]i^{2} (3+i^{2} )[/tex]
[tex]i^{2} \times 3+i^{2} \times i^{2}[/tex]
[tex](-1)3+(-1)(-1)[/tex]
[tex]-3+1[/tex]
[tex]-2[/tex] [tex]=i^{2} (3+i^{2} )[/tex]
---------------------
[tex]2i(2i-i^{3} )[/tex]
[tex]2i\times 2i-i^{3} \times2i[/tex]
[tex]4i^{2} -2i^{4}[/tex]
[tex]4(-1)-2(1)[/tex]
[tex]-4-2=[/tex]
[tex]-6=2i(2i-i^{3} )[/tex]
-------------------
[tex]i(4i^{3} -i)[/tex]
[tex]4i^{3} \times i-i\times i[/tex]
[tex]4i^{4} -i^{2}[/tex]
[tex]4(1)-(1)[/tex]
[tex]4+1=5[/tex]
--------------------
ANSWER:
[tex]-6\Longrightarrow 2i(2i-i^{3} )[/tex]
[tex]5\Longrightarrow i(4i^{3} -i)[/tex]
[tex]7\Longrightarrow i^{2} (2i-5)[/tex]
[tex]-2\Longrightarrow i^{2} (3+i^{2} )[/tex]
----------------------------
Hope it helps...
Have a great day!!
Uma empresa do ramo de confecções produz e comercializa calças jeans. Se x representa a quantidade produzida e comercializada (em milhares de reais) e L(x) = -x² + 8x – 16 representa o lucro (em milhares de reais) da empresa para x unidades, então quando L(x) = 0 a empresa terá produzido e comercializadas quantas unidades dessas calças jeans? *
Answer:
I am in 5 classso i did not known answer
The area of a duck enclosure is 300 square feet, with 100 square feet occupied by a pond. Each duck in the enclosure needs more than 20 square feet of space on dry land. If x ducks can be put in the enclosure, which is the simplest inequality that represents this situation?
Answer: x = 100 duck
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
the value of x-y+xy if x=1 y=1 is
Answer:
1
Step-by-step explanation:
x-y+xy=1-1+1*1=0+1=1
Answer:
1
Step-by-step explanation:
X=1
Y=1
here,
x-y+xy=1-1+1×1
or,x-y+xy=0+1=1
Staysafe❤
The gradient of the line passing through A (2,3), B (k,7) is
23
23
. Find the value of k. help pls
Given:
The gradient of the line passing through A(2,3), B(k,7) is [tex]\dfrac{2}{3}[/tex].
To find:
The value of k.
Solution:
The gradient or slope of a line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The gradient of the line passing through A(2,3), B(k,7) is [tex]\dfrac{2}{3}[/tex]. So,
[tex]\dfrac{2}{3}=\dfrac{7-3}{k-2}[/tex]
[tex]\dfrac{2}{3}=\dfrac{4}{k-2}[/tex]
On cross multiplication, we get
[tex]2(k-2)=4(3)[/tex]
[tex]2k-4=12[/tex]
[tex]2k=12+4[/tex]
[tex]2k=16[/tex]
Divide both sides by 2.
[tex]k=\dfrac{16}{2}[/tex]
[tex]k=8[/tex]
Therefore, the value of k is 8.
Choose the smallest number 3 1/8 or 10/3
Answer:
10/3
Step-by-step explanation:
31/8= 3.8
10/3= 3.3
D=rt What does T equal? Lol how is this possible
Answer:
t = D/r
Step-by-step explanation:
you rearrange the equation so that is the subject. when you bring something over the equal sign, it reverses the function so D = r×t becomes t = D/r