Answer:
It takes 0.619 hours (approximately 37 minutes) for the van to catch up with the storm.
They have driven 33.43 miles
They will catch up when their distances are equal.
Step-by-step explanation:
The speed of the van is 54 mph, and the speed of the storm is 33 mph. They are going in the same direction, so the relative speed is the difference of their speeds:
relative speed = 54 - 33 = 21 mph
Now, to find the time when the van reaches the storm, we just need to use the equation:
distance = speed * time
13 = 21 * t
t = 13 / 21 = 0.619 hours
The distance traveled by the van is:
distance = 54 * 0.619 = 33.43 miles
The van will catch up when the distances are equal (the distance of the storm is 13 + 33*0.619 = 33.43 miles)
(08.01 LC)
Find the circumference and area of a circle with a diameter of 10 inches. Leave your
answers in terms of pi.
O C = 51: A = 20
O C = 10; A = 20
O C = 10; A = 25T
O C = 5T; A = 2511
Answer:
Area = πr^2
= π * 5^2
= 25π
Circumference = 2πr
= 2 * π * 5
= 10π
Answer:
C= 10, A= 25
Step-by-step explanation:
d= 10 in
r= d/2= 5 in
C= 2πr= 2π*5= 10 π in
A= πr²= π*5²= 25 π in²
Predecessor and successor of 999
Evaluate cos2θ for cosθ = .
Double angle identity:
[tex]\cos(2\theta)=2\cos^2\theta-1[/tex]
If you know [tex]\cos\theta[/tex], just plug it in.
A line has the equation y=x+3
What are the coordinates of the point where the line intersects the y and x axis?
Answer:
(0, 3 ) and (- 3, 0 )
Step-by-step explanation:
Where the line crosses the y- axis the x- coordinate is zero.
Substitute x = 0 into the equation and solve for y
y = 0 + 3 = 3
Thus the y- intercept is (0, 3 )
Where the line crosses the x- axis the y- coordinate is zero.
Substitute y = 0 into the equation and solve for x
0 = x + 3 ( subtract 3 from both sides )
- 3 = x
Thus the x- intercept is (- 3, 0 )
What is the product? 3x^5(2x^2+4+1)
Answer:
[tex]6x^{7} +15x^{5}[/tex]
Step-by-step explanation:
[tex]3x^{5}[/tex]([tex]2x^{2} +4+1[/tex])
Multiply [tex]3x^{5}[/tex] by each term in the parentheses.
[tex]6x^{7}[/tex] + [tex]12x^{5} +3x^{5}[/tex]
Now, all you have to do is simplify.
[tex]6x^{7} +15x^{5}[/tex]
Can someone teach me how to do this
What is the value of the angle marked with x
Answer:
50
Step-by-step explanation:
opposite angles are equal so 50 is corresponding with x
Answer:
x = 50
Step-by-step explanation:
Parallelogram have opposite sides parallel and equal in length. The opposite angles are equal.
x = 50
Can anyone help me ?????
Answer:
Step-by-step explanation:
The graph of a function and its inverse will always reflect through the line
y = x.
This is because a function has a specific set of coordiates, (x, y). That function's inverse has a set of coordinates that flips the x and y coordinates. For example, if a function has a set of coordinates (0, 1), (2, 3), (4, 5) then its inverse will have the coordinates (1, 0), (3, 2), (5, 4). If you plot the function's points and then the inverse's points in the same plane (meaning on the same graph) and connect the dots, you will see that the function and its inverse are reflections of each other through y = x. Below is an example of this. The dotted purplish line is the line y = x.
Geometry
Find a:
Fill in the blank
Answer:
a=15
Step-by-step explanation:
[tex]a^{2} =9*25\\a^{2} =225\\\\\sqrt{a} =\sqrt{222\\a=15[/tex]
Hope it helps
Given the equation y = 2x - 8, what is the slope and the y-intercept? A.) m = 8 and b = 2 B.) m = 2 and b = 8 C.) m = 2 and b = -8 D.) m = -8 and b = 2
Answer:
C.) m = 2 and b = -8
Step-by-step explanation:
Generally:
In an equation of the form y = mx + b
the slope is m
the y-intercept is b
In our equation y = 2x - 8 = 2x + (-8)
then
m = 2 and b = -8
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold. What expression represents the profit?
A. 27x – 650
B. 27x + 390
C. 33x – 650
D. 33x + 390
Answer:
We need to subtract both equations. 2x3+30x-130-2x3+3x+520
that gives
30x-130+3x + 520
33x+390
D is answer
Answer:
D. 33x + 390
Step-by-step explanation:
Profit is the difference between revenue and cost so subtract the given polynomials:
2x³ + 30x – 130 - (2x³ – 3x – 520) = 2x³ + 30x – 130 -2x³+3x+520
combine like terms: 33x +390
A bag contains four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. You randomly pick a jersey. It is purple or has an even number.
A.0.714 B:0.727 C:0.778 D:286
Answer:
6/7
Step-by-step explanation:
Total number of jerseys = 4 + 3 = 7
Now, the probability of picking a purple Jersey = number of purple jerseys/total number of jerseys = 3/7
Now let’s look at picking a jersey with even number
Even number jerseys are yellow two and yellow four and also purple two
So we have 3 even numbered jersey. The probability of picking an even numbered jersey is 3/7
In probability, once we have or, we add
The probability of picking an even numbered jersey or a purple jersey = 3/7 + 3/7 = 6/7
Answer ASAP, please!!!!!! Will mark brainliest!!!!! 25 points!!!!!
Explain how the Distributive Property can be used to expand the expression on the left side of the equation.
3(x + 4) = 36.
A. Add 3 to each term inside the parentheses.
B. Subtract 3 from each term inside the parentheses.
C. Multiply each term inside the parentheses by 3.
D. Divide both terms inside the parentheses by 3.
Answer:
C
Step-by-step explanation:
The 3 is directly outside the parentheses, meaning you need to distribute the 3 to the x and the 4 because they are inside the parentheses. There is no addition, subtraction, or division involved in this so C is correct.
Answer:
C
Step-by-step explanation:
i took the test
What is the surface area of the rectangular pyramid below?
A. 363 units2
B. 484 units2
C. 1026 units2
D. 242 units2
Answer:
Option (A). 363 units²
Step-by-step explanation:
Surface area of the rectangular pyramid = Area of the rectangular base + Area of the lateral sides of the pyramid
Area of the rectangular base = Length × Width
= 11 × 11
= 121 units²
Area of the lateral sides = 4(Area of one lateral side)
= 4[[tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]]
= 2(11)(11)
= 242 square units
Area of the rectangular pyramid = 121 + 242
= 363 square units
Therefore, Option (A) will be the answer.
I need help with this please!!
Answer:
The answer is Point A is equal to (8,0) and Point B is (26,-20) and point C would be (16,-16) and point D would be (8,-30)
Step-by-step explanation:
If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?
f = 3
f = 4
f = 5
f = 6
Answer:
f = 3Step-by-step explanation:
Given the equation cos(22f − 1) = sin(7f + 4), the following steps must be followed in order to get the value of f;
From the trigonometry identity, sin(90-theta) = cos theta.
cos(22f-1) = sin (90-(22f-1))
cos(22f-1) = sin (90-22f+1)
cos(22f-1) = sin (91-22f)... 3
substituting eqn 3 into the original equation given, we will have;
sin (91-22f) = sin(7f + 4)
91-22f = 7f+4
7f+22f = 91-4
29f = 87
f = 87/29
f = 3
A correct option is an option (a)
Given function is,
[tex]cos(22f-1) = sin(7f + 4)[/tex]
As we know the relation,
[tex]cosx=sin(90-x)[/tex]
Now, apply the above relates to the given function.
[tex]cos(22f − 1) = sin(7f + 4)\\sin(90-(22f-1))=sin(7f + 4)\\90-22f+1=7f+4\\-22f-7f=4-91\\-29f=-87\\f=3[/tex]
So, the required value is [tex]f=3[/tex]
Read More:https://brainly.com/question/16638358
Find the volume of a right circular cone that has a height of 6.5 cm and a base with a
radius of 8.5 cm. Round your answer to the nearest tenth of a cubic centimeter
Answer:
491.8cm
Step-by-step explanation:
v=1/3*π*r^2*h
v=1/3*π*8.5^2*6.5
491.8
Answer:
491.8
Step-by-step explanation:
i did the question it was right
The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?
Answer:
18 x, 36y.
Step-by-step explanation:
18x, 36y.
The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?
So y: 2x (since its double the x)
So
2x = 4x - 36
Doing the math....
18x. since y= 2*x, 36y.
(I got help for this one, credits to jess :) )
hope this helps! :)
The value of X is 18.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio of X and Y = 1 : 2
This means,
X/Y = 1/2
X = x
Y= 2x
Now,
y = 4x - 36
From (2),
2x = 4x - 36
36 = 4x - 2x
36 = 2x
x = 18
Now,
From (1),
X = x = 18
Thus,
The value of X is 18.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
7. A shopkeeper buys 300 identical articles a tota
cost of $1500. He sells 260 articles at a price
20% above the cost price Each of the remain
anicles is sold at a price that is 50% of the si
price of each of the 260 articles Express the
shopkeeper's profit as a percentage of his cost price?
Answer this Q. so that i will mark u as tge brainliest!
Step-by-step explanation and answers:
300 articles at a total cost of $1500:
$1500 / 300 = $5 / article
Sells 260 articles at a price 20% above this ^ price:
20% of $5 is $1, so $5 + $1 = $6
Then he sells 260 articles at the price of ^ $6
260 * $6 = $1560
Each of the remaining articles is sold at a price that's 50% of the 260 he sold.
He sold those for $6, so he would now sell the last 40 for $3
From the remaining 40 articles, he makes 40 * $3, or $120
The shopkeeper made $1560 + $120 = $1680, which is $180 more than he bought them for ($1500)
Therefore, he made a profit percentage of $180 / $1500, (the amount of profit over the amount spent).
He made a profit percentage, compared to the cost price, of 12%.
What is the solution set of -|-x| = -12
Answer:
{-12,12}
Step-by-step explanation:
-|-x| = -12 multiply both sides by -1
|-x| = 12 apply rule for solving absolute value equations
-x = 12 and -x = -12 solve
x = -12 and x =12
Will give BRAINLIEST cuz ion know how to do this yall :)
Describe, in detail, the sequence of transformations for figure 1 to form Figure 3 put slide, flip and turn in the right order as the picture shows
Step-by-step explanation:
1 to 2. object 1 is moved 6 units down, and rotated 180° towards the left
2 to 3. object 2 is moved 6 units right
Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)? Subtract 7 from –5. Multiply 8 and 3. Divide 7 by 2. Add 6 and –5. i neeed help plz
Answer:
Multiply 8 and 3
Step-by-step explanation:
6+ (-5-7/2) -8(3)
Using the order of operations
BODMAS
•BRACKET
•OFF
•DIVISION
•MULTIPLICATION
•ADDITION
•SUBTRACTION
The first step is to deal with the bracket
Which is
6+(-5-7/2)-24
Next is solve the next parenthesis
6+(-12/2)-24
Next
6+(-6)-24
Next
6-6-24
= -24
Answer:
A is correct answer
Step-by-step explanation:
Who is the dictator of USSR
Answer:
No. Leaders Date of death
1 Vladimir Lenin January 21, 1924
2 Joseph Stalin March 5, 1953
3 Georgy Malenkov January 14, 1988
4 Nikita Khrushchev September 11, 1971
Step-by-step explanation:
Can someone please help me to finish this up and I don’t know
Answer:
This is an enlargement.
Step-by-step explanation:
This is an enlargement.
A reduction would be smaller
A rotation would be changing the angle and a reflection would be a mirror image
Which of the following are like terms?
12x
A
-8
3x2
15x
-X
x
Answer:
12x, 15x, -x, and x are like terms.
Step-by-step explanation:
These are terms that can be combined together in equations because they are multiplied by the same term or they are integers, etc. (BTW, I'm not sure if 3x2 means 3 times 2 or 3 times x times 2, if it is 3 times x times 2, then that is also a like term!)
Answer:
12x
15x
-x
Included whole page!
☆
EDGE2022; Good Luck :3!!!
f=
4m + 3
m – 1
make m the subject
Answer:
m = [tex]\frac{f+1}{7}[/tex]
Step-by-step explanation:
f = 4m + 3m -1
f = 7m - 1
Adding 1 to both sides
f+1 = 7m
Dividing both sides by 7
m = [tex]\frac{f+1}{7}[/tex]
Answer:
m= (f+3)/(f-4)
Step-by-step explanation:
It is not clear from the question, but I assume it is:
f= (4m+3)/(m-1)so the solution is:
f= (4m+3)/(m-1)f(m-1)=4m+3fm-f= 4m+3fm- 4m= f+3m(f-4)= f+3m= (f+3)/(f-4)help Write an equation for a line perpendicular to y=-4x+4 and passing through the point (-12,-8)
Answer: [tex]y=\frac{1}{4} x-5[/tex]
Step-by-step explanation:
Lines perpendicular to another line have inversely proportional slopes. We are given that the slope of the line is -4, so the slope of the perpendicular line will be positive 1/4. Now we have a starting point for this line:
[tex]y=\frac{1}{4} x+b\\-8=\frac{1}{4} (-12)+b\\-8=-3+b\\b=-5[/tex]
Notice how I plugged in the points given.
If 8=−3r+7r, then r= [blank] −−−−−−.
Answer:
[tex]r = 2[/tex]
Step-by-step explanation:
[tex]8 = - 3r + 7r \\ 8 = 4r \\ 4r = 8 \\ \\ r = \frac{8}{4} \\ \\ r = 2[/tex]
the value of 2(cos square 45 + tan square 60) is
Answer:
7
Step-by-step explanation:
Using the exact values for
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then
2(cos²45° + tan²60°)
= 2( ([tex]\frac{1}{\sqrt{2} }[/tex] )² + ([tex]\sqrt{3}[/tex] )² )
= 2( [tex]\frac{1}{2}[/tex] + 3 ) ← distribute
= 1 + 6
= 7
2y/5y cube + 4y square + 6y
Answer:
here down is the answer
(2y/5y)^3+4y^2+6y
8y^3/125y^3 +16y^2+6y
8/125+16y^2+6y
8/125+16y^2+6y=0
16y^2+6y+8/125=0
it is in the form of quadratic equation
formula :
x=(-b+-square root of b^2-4ac) /2a
here a=16,b=6&c=8/125
x=(-b+-square root of b^2-4ac)/2a
x=(-6+-square root of 36-4.09)/2a here 4.09 came by calculation
x=(-6+-31.91)/2
so
x=(-6+31.91)/2 first (+);
x=25.91/2
x=12.955;
x=(-6-31.91)/2 then(-);
x=-37.91/2
x=-18.955 ;
ans is = 12.955&-18.955;
Let f(x) = 4x3 + 3x2 − 20x − 15 and g(x) = 4x + 3. Find f of x over g of x.
x2 − 5
4x2 + x
x2 − 5x
4x2 + 12
Answer:
not B
Step-by-step explanation:
I took the test