3g = total cost in dollars paid for the gas of the trip
The answer to (x+5) (x+4)
Answer: 9x^2+41x+20
Step-by-step explanation:
The angle bisector of the angle ABC is BP. If angle ABP is 6nº, what is angle ABC?
The measure of the angle ABC given that the bisector is ABP is 12n degrees
How to determine the measure of angle ABCFrom the question, we have the following parameters that can be used in our computation:
Angle measures
The angle measures and the relationships are given as
The angle bisector of the angle ABC is BPThe measure of the angle ABP is 6nºUsing the above as a guide, we have the following:
The above statements mean that
ABC = 2 * ABP
substitute the known values in the above equation, so, we have the following representation
ABC = 2 * 6n
Evaluate the products
ABC = 12n
Hence, the measure is 12n degrees
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What is the equation of the line that passes through the point (-4,1) and has a slope of -5/4
Answer:
y = -5/4x -4
Step-by-step explanation:
slope(m)= -5/4
x1=-4,y1=1
using the formula for one point form
y-y1=m(x-x1)
y-1= -5/4(x-(-4))
y-1 = -5/4x + -5/4 × +4
y - 1 = -5/4x -5
y=-5/4x -5 + 1
y = -5/4x -4.
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URGENT HELP A contest allows anyone to enter as many times as they would like and at the end of the contest, a winner is randomly chosen from all the entries. Suppose 450 people enter the contest. If Sabine entered 3 times and Joe entered 5 times, then what is the probability Joe or Sabine will win the contest?
Answer:
4/225
Step-by-step explanation:
Formula :
Probability (Event) = No. of times event has occurred / Total possibilities
==============================================================
Solving :
⇒ P (Joe or Sabine) = No. of times Joe or Sabine has entered / Total number of people
⇒ P (Joe or Sabine) = 3 + 5 / 450
⇒ P (Joe or Sabine) = 8/450
⇒ P (Joe or Sabine) = 4/225
Can someone help me Solve:
-2√3+√75=
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)PLEASE HELP FAST!! IT IS URGENT!! The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the recommended 10,000 steps per day, using a = 0.01. He selects a random sample of 50 days with the intention of testing the hypotheses Hop-10,000 steps versus Hp 10,000 steps where the true mean number of steps taken per day. Which of the following values of the alternative hypothesis would yield the greatest power to reject the null hypothesis?
u=9,000
u=9,500
u = 10,000
u = 10,500
Answer:
The correct answer is: u = 10,500. When the value of the alternative hypothesis is greater than that of the null hypothesis, the power of the test will be increased, so a value of u = 10,500 would yield the greatest power to reject the null hypothesis.
A rectangular room is
1.5
times as long as it is wide, and its perimeter is
35
meters. Find the dimension of the room.
The length is :
meters and the width is
meters.
The dimensions of the room are approximately 7 meters by 10.5 meters.
The length is 10.5 meters and the width is 7 meters.What are dimensions?In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.
Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.
The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:
\(\text{Perimeter} = 2(\text{length} + \text{width})\)
Substituting the values we have for length and width, we get:
\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)
Simplifying the equation, we get:
\(\rightarrow35 = 2(2.5\text{x})\)
\(\rightarrow35 = 5\text{x}\)
\(\rightarrow\text{x}=\dfrac{35}{5}\)
\(\rightarrow\bold{x\thickapprox7}\)
So the width of the room is 7 meters.
To find the length, we can substitute x into the expression we have for the length:
\(\rightarrow\text{Length} = 1.5\text{x}\)
\(\rightarrow\text{Length} = 1.5(7)\)
\(\rightarrow\bold{Length=10.5}\)
So the length of the room is 10.5 meters.
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75.65 to the nearest ten
You have written ten.
If it means tens then your answer is:
80
If it means tenths then your answer is:
75.7
It takes at 45 minutes to complete his science homework. It takes him 2/3 as long to complete his math homework. How long does it take add to complete his math homework?
Answer:
30 minutes
Step-by-step explanation:
45 = 15 +15 +15 (3 parts of 15)
2 parts of 15 = 30
Multiply and fill in the blanks
a) 5pq(p2+ q2+pq)
b) -7pr (pq – qr - rq)
c) (4x-3y) (5x-4a)
with explanation pls !
The solution to the simplification of the algebraic expressions are;
A) 5p³q + 5pq³ + 5p²q
B) 14pqr² - 7p²qr
C) 20x² - 15xy - 16ax + 12ay
A) We have the expression;
5pq(p² + q² + pq)
Multiplying out using the concept of distributive property, we have;
(5pq × p²) + (5pq × q²) + (5pq × pq)
>> 5p³q + 5pq³ + 5p²q
B) We have the expression;
-7pr(pq – qr - rq)
Multiplying out using the concept of distributive property, we have;
-7p²qr + 7pqr² + 7pqr²
>> 14pqr² - 7p²qr
C) (4x - 3y)(5x - 4a)
By quadratic expansion, we have;
(4x * 5x) - (3y * 5x) - (4x * 4a) + (4a * 3y)
>> 20x² - 15xy - 16ax + 12ay
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The probability that an international flight leaving the United States is delayed in departing (event D) is 34. The probability that an
international flight leaving the United States is a transpacific flight (event A is 51. The probability that an international flight leaving the
U.S. is a transpacific flight and is delayed in departing is 13.
(a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a
transpacific flight? (Round your answer to 4 decimal places.)
Answer:
the answer is answer nice answer my answer
Step-by-step explanation:
if u answer the answer then answer u should be able to answer within the answer with answer present and answer nice answer answer answer answer answer answer answer answer
What is the area of the triangle in the diagram?
Answer:
B.
Step-by-step explanation:
the area of a triangle is
Area = baseline × height / 2
the baseline can be any of the 3 sides.
the height is then the perpendicular connection from the corner point opposite of the chosen line to the chosen line.
in this example the easiest approach would be to pick (x1,y1) to (x2,y1) as baseline, and the height would then be the piece of the y-axis from (0,0) to the baseline.
so, how long is the baseline ?
we need to calculate the difference between the coordinates of both corner points.
we have here an easy case, as both points have the same y value, so we only need to look at the difference in x.
baseline = x2 - x1
and the height is here simply (because of the special case) the difference of the baseline from (0,0) on the y-axis
height = y1
therefore, the area of the triangle is
Area = (x2-x1) × y1 / 2 = 1/2 × y1(x2-x1) = solution B
if the corner points and height are not so nicely aligned with the coordinate axis, then we need to calculate the distances by using Pythagoras to determine the "Hypotenuse" of the triangles created by the differences of the individual coordinates.
in our example
((x1,y1) to (x2,y1))² = (x2-x1)² + (y1-y1)² = (x2-x1)² + 0 = (x2-x1)²
and therefore
(x1,y1) to (x2,y1) = (x2-x1)
and we are back to our original solution.
Find 0% of 48:
Find 100% of 48:
Find 50% of 48:
Find 25% of 48:
Find 75% of 48:
Answer:
0
48
24
12
36
Step-by-step explanation:
The recently released iPhone XS Max comes in three different storage sizes: 64GB, 256GB, and 512GB. The price of the 64GB phone is $1,099. If prices were proportional to the phone's storage size, how much would the 256GB phone and the 512GB phone cost
Please help me fast i need help but please no links
Answer:
dont click that other guys link its an ip grabber
Step-by-step explanation:
A square with 20 meters shown as 12 centimeters, how long would a girder appear 15 meters long?
9.6 centimeters
EXPLANATION
20 meters = 12 centimeters
15 meters = x
20 meters/12 centimeters = 15 meters/x
20 meters/0,12 meters = 16 meters/x
1666.66 = 16 meters/x
x = 16 meters : 1666.66
x = 0.096 meters
x = 9.6 centimeters
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Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc? input your answer as a number only, in units of mpc.
Galaxy distance is 118 mpc.
Given:
Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.
According to hubble's law:
v = \(H_0\\\) * D
where
v = velocity = 8254
\(H_0\\\) = hubble constant = 70
D = v/\(H_0\\\)
= 8254/70
= 4127/35
= 117.91
≈ 118 mpc.
Therefore Galaxy distance is 118 mpc.
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solve simultaneously 2x - y = - 10 and 3x + 2y = - 1
The solution to the system of equations is x = -3 and y = -4.
To solve the system of equations:
Equation 1: 2x - y = -10
Equation 2: 3x + 2y = -1
We can use the method of substitution or elimination to find the values of x and y.
Let's use the method of elimination:
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(2x - y) = 2(-10)
4x - 2y = -20
Now, we can eliminate y by adding Equation 2 and the modified Equation 1:
(3x + 2y) + (4x - 2y) = -1 + (-20)
7x = -21
x = -3
Substitute the value of x into Equation 1 to solve for y:
2(-3) - y = -10
-6 - y = -10
y = -10 + 6
y = -4
Therefore, the solution to the system of equations is x = -3 and y = -4.
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One leg of a triangle has a length of 3m. The other sides have lengths that are consecutive integers find these lengths
The length of the other two sides are 4m and 5m
How to determine the lengthsUsing the Pythagorean theorem, we have that the square of the hypotenuse sides is equal to the sum of the squares of the other two sides of the triangle
This is represented as;
x² = y² + z²
From the information given, we have that;
z = 3m
x = x + 1
y = x
Substitute the values, we get
(x + 1)² = x² + 3²
Find the squares
(x + 1) ² = 9 + x²
expand the bracket
(x + 1) ( x + 1) - x² = 9
x² + x + x + 1 - x² = 9
collect like terms
2x = 8
x = 4
Then,
x + 1 = 5
x = 4
Hence, the values are 4m and 5m
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The drawing plan for an art studio shows a rectangle that is 192 inches by 4 inches. The scale in the plan is 2 in: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio. The length is feet feet the width is feet, and the area is square
Answer:
Step-by-step explanation:
192in(5ft/2in)=480ft
4in(5ft/2in)=10ft
A=480ft(10ft)=4800ft^2
can someone help me forgot to stuffy due in 1 hour pls.
Answer:
m∠GFC=69
Step-by-step explanation:
∠FBC is Supplementary to ∠BFG because ║lines mean that same side interior angles are supplementary.
So if x represents ∠GFC, the equation would be:
41+70+x=180
Just solve for x.
111+x=180
x=69
Lauren has a $70 gift card for a department store. Lauren buys new sunglasses with her gift card. The gift card has a remaining balance of $3.66 after she purchases the sunglasses. If the sales tax is 7%, what was the price of the sunglasses before tax?
If the sales tax is 7%, the price of the sunglasses is $61.6962
How to find the original price of the sunglasses before tax?She has $70 gift card for a department store.
She buys a new glasses with her gift card.
The gift card had a remaining balance of $3.66.
Therefore,
amount she bought the sunglasses with tax = 70 - 3.66 = $66.34
Hence,
Sales tax = 7 / 100 × 66.34 = $4.6438
Therefore,
The original price before tax = 66.34 - 4.6438 = $61.6962
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Can someone help me it’s due today
Answer:
1 quart must be added
Step-by-step explanation:
To do this, set up an equation.
Let x be the number of quarts of antifreeze to be added. Then, you know that the new solution will have a total of 4 quarts with 2/5 of it being antifreeze, so \(\frac{2}{5} (x+3)\) would be the amount of antifreeze. Another way to represent the amount of antifreeze is \(x + \frac{3}{5}\) because the original mixture has 3/5 of quart of antifreeze, while the added stuff is fully antifreeze.
Now, you just solve the equation:
\(\frac{2}{5} (x + 3) = x + \frac{3}{5}\)
multiply both sides by 5
\(2(x + 3) = 5x + 3\)
Use the distributive property on the left
\(2x + 6 = 5x + 3\)
subtract 2x from both sides
\(6 = 3x + 3\)
subtract 3 from both sides
\(3 = 3x\)
divide both sides by 3
\(1 = x \\x = 1\)
Therefore the answer is 1 quart
Danielle buys two submarine sandwiches for an after-school party. One sandwich is 20 inches
long and the other sandwich is 12 inches long. Danielle wants to cut servings of the same
length from both sandwiches, without having any sandwich left over. What is the greatest
length serving that Danielle can cut?
The greatest length serving that Danielle can cut is 4.
What is factorization?It is important to note that factorization has to do with writing a number a a product of several factors that are of same kind.
In this case, Danielle buys two submarine sandwiches for an after-school party and one sandwich is 20 inches long and the other sandwich is 12 inches long.
Here, we have to find the factor of both numbers. This will be:
12 = 1, 2, 3, 4, 6, 12.
20 = 1, 2, 4, 5, 10, 20
Therefore, the highest common factor here is 4.
In conclusion, the greatest length is 4.
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I am a parallelogram. Two of my sides are parallel to the bottom of the paper. The endpoints of the bottom side are at (2, 5) and (9, 5). The slope of the line segments that form my two sides is 0.75, and the length of each side is 5 units. What are my other two vertices?
According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).
How to find the vertices of the parallelogram?To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,
m = slope(x1, y1) = point on the lineFor the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = 0.75(x - 2)Simplifying, we get:
y = 0.75x + 3.5To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:
y = 0.75(7) + 3.5 = 8Therefore, the vertex at the top right of the parallelogram is (7, 8).
For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = -0.75(x - 9)Simplifying, we get:
y = -0.75x + 11.25To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:
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What is the equation of the line in slope-intercept form?
Answer:
y=4/3x+4
Step-by-step explanation:
Simplify the expression so there is only one positive power for the base, -5.
Answer:
c
Step-by-step explanation:
it's a property of powers, when the base is the same (-5) , you need to
sum the powers when both terms are multiplyng
subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)
What is the remainder and quotient of 23 divided by 861
Answer:
37 r10
explanation
0 3 7
2 3 L 8 6 1
− 0
8 6
− 6 9
1 7 1
− 1 6 1
1 0
7 is subtracted from the cube of a number
Answer:
(7 + x3)
Step-by-step explanation:
Let x represent the number.
Then the expression will (7 + x3)
HELP ME PLEASE!!!!!!!!!!!!
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is: ∠A = 39.6°
3) The length of side x is: x = 39.5 mm
How to find the trigonometric ratios?The six trigonometric ratios of a right angle triangle are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
cot x = 1/tan x
sec x = 1/cos x
cosec x = 1/sin x
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is gotten from:
∠A = cos⁻¹ (47/61)
∠A = 39.6°
3) The length of side x using trigonometric ratios is:
21/x = tan 28
x = 21/tan 28
x = 39.5 mm
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