Answer:
d × (5d + 11)
Step-by-step explanation:
5d² + 11d
Factor out d from the expression
When d is factored out;
5d² becomes 5d
11d becomes 11
And d multiplies it all;
d × (5d + 11)
What is the per capita GDP of the United States?
Answer:
The per capita GDP will be "$62,790".
Step-by-step explanation:
Per capita GDP seems to be a calculation including its overall production of such a nation to take that GDP as well as dividing it by the number of individuals in that region. GDP per capita is particularly evident when analyzing one country or state to the next, as it indicates the remarkable success of that same country.So that the above seems to be the right answer.
What is the coordinate of point P that lies along the directed line segment from Q(2, 5) to R(7, 12) and partitions the segment in the ratio of 3 to 2? Your answer: (3, 4.2) (4.5, 8.5) (5, 9.2) (5, 7)
Answer:
Option (3). (5, 9.2)
Step-by-step explanation:
If Point P divides the line segment QR in the ratio of m : n.
Let the coordinates of the point P are (x, y)
Since coordinates of the point P are given by,
x = [tex]\frac{m(x_2)+n(x_1)}{m+n}[/tex]
y = [tex]\frac{m(y_2)+n(y_1)}{m+n}[/tex]
Where [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are the ordered pairs representing points Q and R.
If [tex](x_1,y_1)[/tex] represents (2, 5) and [tex](x_2,y_2)[/tex] represents (7, 12),
Coordinates of point P(x, y) which divides the segment in the ratio of 3:2.
x = [tex]\frac{3(7)+2(2)}{3+2}[/tex]
x = [tex]\frac{25}{5}=5[/tex]
y = [tex]\frac{3(12)+2(5)}{3+2}[/tex]
y = [tex]\frac{46}{5}=9.2[/tex]
Therefore, Point P will be represented by (5, 9.2)
Option (3) will be the answer.
What is the approximate value of tan C?
B
13.93
5
13
Answer:
B you need to plug it in the calculator
The approximate value of tan C is 0.38 (Option D).
To find the approximate value of tangent (tan) of angle C, we can use the given side lengths of the right-angled triangle ABC:
Hypotenuse (c) = 13.93
Base (b) = 13
Height (a) = 5
The tangent of angle C is defined as the ratio of the height (a) to the base (b):
tan C = a / b
tan C = 5 / 13
Now, let's calculate the approximate value of tan C:
tan C ≈ 0.3846
Among the given options (0.36, 0.93, 2.6, 0.38), the closest approximation to the value of tan C is option D: 0.38.
Therefore, the approximate value of tan C is 0.38.
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Complete Question:
What is the approximate value of tan C?
anyone good at maths who can help me?
brainiest will be given, THANK YOU!!!
Answer:
Step-by-step explanation:
83% of 408:
83/100 x 408 = 338.64 pounds
41% of 53 :
41/100 x 53 = 0.41 x 53 = 21.73 kg
97% of 345m:
0.97 x 345 = 334.65
please mark brainiest
83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We need to find
a)83% of 408 pounds
Firstly we need to convert 83% to decimal by dividing with 100.
83/100=0.83
Now multiply 0.83 with 408
0.83×408=338.64
b)41% of 53 kg
Firstly we need to convert 83% to decimal by dividing with 100.
41/100=0.41
Now multiply 0.41 with 53
0.41×53=21.73
c)97% of 345m
Firstly we need to convert 97% to decimal by dividing with 100.
97/100=0.97
Now multiply 0.97 with 345
0.97×345=334.65m
Hence 83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m
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The diagram below is a scale drawing of a building and the parking lot outside of it. A scale factor of 1cm= 6ft was used to make the drawing
What is the area of the parking lot
Plz help this makes no sense to me
Answer:
8,181 ft^2
Step-by-step explanation:
Area of the parking lot = Area of the whole structure - Area of the building
The building is a square of 12cm by 12cm
which is 72ft by 72ft since 1 cm is 6 ft
its area is thus 72 * 72 = 5,184 ft^2
The structure measures 16.5 cm by 22.5 cm
Multiplying the sides by 6, we have 99 ft by 135 ft
So its area is 99 * 135 = 13,365 ft^2
The area of the parking lot = 13,365 - 5,184 =
8,181 ft^2
Two particles, A and B, are initially 37.5 m apart. A is projected in a straight line directly towards B with initial speed 2 ms^–1 and accelerates uniformly at 0.6 ms^–2. At the instant when A is released, B is projected in a straight line directly towards A with an initial speed of 3 ms^–1 and it accelerates uniformly at 0.4 ms^–2. The particles collide at point C. Find the distance from A's starting point to C. (Please explain how you get the answer, I don't understand how to get to it!!!! Thanks!)
Answer: 6.66 metres
Step-by-step explanation:
Given that the two particles, A and B, are initially 37.5 m apart.
Acceleration a = velocity/time
Make time t the subject of the formula.
Time t = velocity/acceleration
Time taken by particle A will be
Time t = 2/0.6 = 3.33 seconds
Let's use 2nd equation of motion
S = Ut + 1/2at^2
Distance covered by particle A will be achieved By substitute the values for speed and acceleration into the formula
S = 2 × 3.33 + 1/2 × 0.6 × 3.33^2
S = 6.66 + 0.3 × 11.1
S = 9.99 m
Time taken by particle B will be
Time t = 3/0.4 = 7.5 seconds
Distance covered by particle B will be by using the same formula
S = 3 × 7.5 + 1/2 × 0.4 × 7.5^2
S = 22.5 + 0.2 × 56.25
S = 33.75 metres
Adding the distance covered by particle A
Distance = speed × time
Distance = 2 × 3.33 = 6.66
the distance from A's starting point to C. Is 6.66 metres
What is the area of a rectangle that is 5 meters long and 8 meters wide? 40 m 2 26 m 2 35 m 2 13 m 2
Answer:
The area of the 5m by 8m is 40 I don't know what you want with the other numbers but this is for the sentence
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Did da test
Which is an equation of the line containing the points (4, 6) and (6, 10) in standard form
A) 2x -y= -2
B) -2x -y= -22
C) -2x +y= -8
D) -2x +y=-2
Answer:d
Step-by-step explanation on ed
Solve this equation 3x-1/5-2/9x=124/5 , simply by combining like terms, Which terms can be combined? Isolate the variable term by adding this value to both sides of the equation?
Answer:
x=9
Step-by-step explanation:
x in (-oo:+oo)
3*x-((2/9)*x)-(1/5) = 124/5 // - 124/5
3*x-((2/9)*x)-(1/5)-(124/5) = 0
3*x+(-2/9)*x-1/5-124/5 = 0
25/9*x-25 = 0 // + 25
25/9*x = 25 // : 25/9
x = 25/25/9
x = 9
Answer:
1/5
Step-by-step explanation:
i got it right
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
plz help me w this!!! lowkey forgot how to do it lol. marking brainiest aswell!!!
Answer:
B
Step-by-step explanation:
A = 1/2π * r²
A/(1/2π) = r² (Divide by 1/2π)
r = √(2A/π) (Take the square root of both sides then simplify)
Answer:
B. r=[tex]\sqrt{\frac{2A}\pi}}[/tex]
Step-by-step explanation:
First multiply both sides by 2. This gives us 2A=[tex]\pi[/tex]r². Now, divide both sides by [tex]\pi[/tex]. Now we have [tex]\frac{2A}{\pi}[/tex]=r². Now, square root both sides. The final answer is r=[tex]\sqrt{\frac{2A}{\pi}}[/tex]
Find the sum of the first 9 terms of the following series, to the nearest integer 3, 3.75, 4.6875
Answer:
77.4
Step-by-step explanation:
The first term, a, of the series is 3.
It is a geometric progression, so we can calculate the common ratio, r:
3.75 / 3 = 1.25
The sum of n terms of a geometric progression is given as:
[tex]S = \frac{a(1 - r^n)}{(1 - r)}[/tex]
where n = number of terms considered
The sum of the first 9 terms will therefore be:
[tex]S_9 = \frac{3(1 - 1.25^9)}{(1 - 1.25)} \\\\S_9 = \frac{3(1 - 7.45)}{-0.25}\\ \\S_9 = \frac{3 * -6.45}{-0.25}\\ S_9 = \frac{-19.35}{-0.25}\\ \\S_9 = 77.4[/tex]
Find all possible values of the fraction below. (Assume different letters are different digits, and the same letters are the same digits.)
Answer:
{0, undefined}
Step-by-step explanation:
There are 10 unique letters in the expression, so each one must stand for a different digit. Assuming the digits are multiplied as indicated, the digit 0 must appear in either the numerator or the denominator.
If 0 appears in the numerator, the value of the fraction is 0.
If 0 appears in the denominator, the value of the fraction is "undefined."
The only possible values of this fraction are {0, undefined}.
Help me ASAP please.
If two lines intersect and one angle measures 25°, what are the measures of the other angles?
25
75
155
125
Answer:
155 and 25
Step-by-step explanation:
Answer: 155
Step-by-step explanation:
Two Lines that intersect form TWO angles. The sum of the Two Angles is always 180 degrees.
180-25 = 155
HELP TIMED! WILL MARK BRAINLIEST Which table represents a liner function?
Answer: y= 5, 10, 15, 20, 25
Step-by-step explanation:
1, 2, 3, 4, and 5 each are 1 number apart
5, 10, 15, 20, 25 each are 5 numbers apart
the rate of change is 1/5
[tex] - \frac{1}{2} x > 4[/tex]
Answer:
x< -8
Step-by-step explanation:
To solve the inequality, we must get x isolated.
-1/2x>4
We have to perform the inverse operation to both sides. x is being multiplied by -1/2. The inverse of multiplication is division. Divide both sides by -1/2.
-1/2x / -1/2 > 4/ -1/2
When dividing by fraction, you can also multiply by the reciprocal.
To find the reciprocal, flip the numerator and the denominator.
-1/2–> -2/1
-2/1 *-1/2x > 4* -2/1
x> 4* -2/1
When multiplying or dividing by a negative number in an inequality, you must flip the inequality sign.
x < 4* -2/1
x < 4*-2
x< -8
Can you please help me
Answer:
Supplementary angle = 98°
Complementary angle = 8°
Step-by-step explanation:
By definition, sum of complementary angles is equal to 90°.
Therefore, complementary angle of 82° = 90° - 82°
= 8°
Similarly, sum of supplementary angles is equal to 180°.
Therefore, supplementary angle of 82° = 180° - 82°
= 98°
The supplementary angle 98°
The complementary angle 8°.
Can the polynomial in the numerator of the expression x^2-5x+7/x-9 be factored to derive (x − 9) as a factor
Answer:
Step-by-step explanation:
We can find out by using synthetic division and the fact that x - 9 Might be a 0. If x = 9 is a 0 of that polynomial, then we will get no remainder when we divide the polynomial by 9:
9 | 1 -5 7
____________
First thing to do is bring down the 1 and multiply it by the 9 and put that product up under the -5:
9 | 1 -5 7
______9____
1
Now add down the column to get:
9 | 1 -5 7
_____9____
1 4
Now multiply 4 by 9 and put that product up under the 7:
9 | 1 -5 7
______9__36
1 4
Now add to see what the remainder is:
9 | 1 -5 7
_______9_36
1 4 R43
we have a remainder of 43. Since it is not a 0, then the polynomial is not evenly divisible by x - 9.
So the answer is No.
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
To figure out if something is increasing or decreasing, you must read the graph from left to right. If it appears to be going down, then it is decreasing. When it appears to be to be going up, it is increasing. For both A & B, the graph is decreasing. When you look from when the x-values are between 2.5 and 3.5, you can see the line going down. That means it is decreasing.
I hope this helps!
i think of a number, multiply it by 2, subtract 3, and multiply the result by 4
Answer:
4(2x-3)
Step-by-step explanation:
Let the number be x
⇒ Multiplying by 2 makes it 2x
⇒ Subtracting 3 makes it 2x-3
⇒ Multiplying the whole by 4 gives 4(2x-3)
What is the area of ABC? Round to the nearest tenth of a square unit
Answer:
A=61.8\ units^2
Step-by-step explanation:
what would be the answer???
Answer:
120
Step-by-step explanation:
The sum of the angles in a quadrilateral is 360 degrees
2t+t+2t+t = 360
6t = 360
Divide by 6
6t/6 = 360/6
t = 60
Angle Z = 2t
Angle Z = 2*60 = 120
Answer:
[tex]120 \: \: degrees[/tex]
Second answer is correct.
Step-by-step explanation:
The sum of the angles in a qudrilateral = 360°
[tex]t + 2t + t + 2t = 360 \\ 6t = 360 \\ \frac{6t}{6} = \frac{360}{6} \\ t = 60[/tex]
angle z
[tex]2t = 60 \times 2 \\ \: \: \: \: \: \: \: = 120[/tex]
Tina throws a baseball straight up from a height of 3 feet and at a speed of 50 feet per second. The height of the ball in feet is given by the polynomial -16t^2+50t+3, where t is the time in seconds. How high is the ball after 3 seconds?
Answer:
9 feet
Step-by-step explanation:
The height of the ball in feet is given by the polynomial:
[tex]h(t) = -16t^2+50t+3[/tex]
where t is the time in seconds.
After 3 seconds, t = 3:
[tex]h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet[/tex]
The height of the ball after 3 seconds is 9 feet.
If Colin tosses a normal die from a board game, what is the probability that the result will be prime?
A. 2/3
B. 5/6
C. 1/2
D. 1/6
What is the domain of f(x) = 2|x − 1| + 3? A. {x | x ≥ 3} B. {x | x < 1} C. {x | x ≤ -1} D. {x | x = all real numbers}
Answer:
all real numbers
Step-by-step explanation:
f(x) = 2|x − 1| + 3
The domain is what values can we put in for x
There is no limit to what we can put in for x
therefore the domain is all real numbers
work out the area of this circle when its the diameter 9m take pie to be 3.142 and give your answer to 2 decimal places.
3.142*4.5²=63.6255
Answer=63.63
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment..
Solve for x in the diagram below.
8x
50°
X =
Answer:
x=5
Step-by-step explanation:
The 2 angles are inside of a right angle (the little square in the corner denotes a right angle). This means they are complementary angles, and add to 90 degrees.
8x+50=90
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
50 is being added to 8x. The opposite of addition is subtraction. Subtract 50 from both sides.
8x+50-50=90-50
8x=90-50
8x=40
x is being multiplied by 8. The opposite of multiplication is division. Divide both sides by 8.
8x/8=40/8
x=5
x is equal to 5.
What is 46% of 22? Use a fraction and express your answer in simplest form.
Answer:
10 3/25
Step-by-step explanation:
46/100x22 =46x22 divide by 100
1012/100
10 12/100 both twelve and hundred can be divided by 4 thus final answer is ten whole(10) and three over twenty five(3/25)
The Jacobson family drove 240 miles miles in 6 hours. If you graph their trip with hours on the X axis and miles on the Y axis, what will be the slope of the line?.
Answer:
40 mph
Step-by-step explanation:
Recall that the slope of this line is also the speed at which the car was driven, and that, in turn, is:
240 miles
------------------- = 40 mph
6 hrs
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.