Answer:
6 and -120
Step-by-step explanation:
The first 3 positive integers are 1, 2 and 3 and their product is 6, the first 5 negative integers are -1, -2, -3, -4 and -5 and their product is -120.
Which point on the number line best represents√57?
Answer:
8.
Step-by-step explanation:
[tex]\sqrt{57} =\sqrt{3 * 19}[/tex]
Since this cannot be further simplified, we will calculate the square root of 57 with our calculators.
We find that the square root of 57 is 7.549834435, and since the tenths place is a 5, we will round up to the next whole number. So, the point on the number line that best represents the square root of 57 is 8.
Hope this helps!
the perimeter of a right angled triangle is 60 cm and its area is 120cm².find the lengths of the triangle.
Step-by-step explanation:
The area of triangle given as 120 cm2
Area of Triangle = 1/2 x b x h = 120
therefore bxh = 240
240 can be factorized as 10 x 24
The perimeter of the triangle is given as 60
so the other side has to be 26 cm
As this is a right angle triangle it should satisfy pythagoras theorem
(10)2 + (24)2 = (26)2
100+576 =676
Hence the sides of the triangle are 10 cm, 24 cm and 26 cm
What is the solution to this system of equations?
5x + 2y = 29
x + 4y= 13
Answer:
x = 4.5
y = 3.25
Step-by-step explanation:
Use elimination
5x + 2y = 29
x + 4y = 13 (-5)
4y(-5) = 13(-5)
2y = 29
-20y = -65
y = 3.25
Sub it back into the equation
5x + 6.50 = 29
5x = 22.5
x = 4.5
Please help me get the answers
Answer:
1. (4)
2. (2)
Step-by-step explanation:
Sams building a suspension bridge for the playground at the elementary school I needed some chain-link and some rope he bought a total of 80 feet of materials and The chain-link cost two dollars per foot and the rope cost 1.50 per foot he spent a total of $135 how much of each did he buy
Answer:
Amount of material for chain link = 30 feet
Amount of material for rope = 50 feet
Step-by-step explanation:
Let the amount of chain link = X
The amount of rope be represented by Y
He bought a total of 80 feet of materials
Hence we have:
X + Y = 80 ....... Equation 1
Y = 80 - X
The chain-link cost two dollars per foot and the rope cost 1.50 per foot he spent a total of $135
X × $2 + Y × $1.50 = $135
2X + 1.5Y = 135 ......Equation 2
Substitute 80 - X for Y in Equation 2
2X + 1.5(80 - X) = 135
2X + 120 - 1.5X = 135
Collect like terms
2X - 1.5X = 135 - 120
0.5X = 15
X = 15/0.5
X = 30 feet
Substitute 30 feet for X in Equation 1
X + Y = 80 ....... Equation 1
30 + Y = 80
Y = 80 - 30
Y = 50 feet
Hence the amount of material he used for the chain link = 30 feet and the amount of material he used for the rope was = 50 feet
how many are 3 raised to 3 ???
Answer:
27
Step-by-step explanation:
3^3 = 3 x 3 x 3 = 27
Please answer this question now
Answer:
Surface Area = 85.75 ft²
Step-by-step explanation:
Surface area of pyramid = ½(Perimeter of triangular base * slant height of pyramid) + Area of triangular base
Perimeter of triangular base = sum of all sides of the triangular base = 5+5+5 = 15 ft
Slant height of pyramid = 10 ft
Area of triangular base = ½*base of triangle*height of triangle = ½*5*4.3 = 10.75 ft²
Plug in the above values:
Surface Area = ½(15*10) + 10.75
= (15*5) + 10.75
= 75 + 10.75
Surface Area = 85.75 ft²
Simplify 4x (2x−y) − 3x (x-2y) −2x + 1 and find its value for = -1 and y = 2.
Answer:
Step-by-step explanation:
4x*(2x - y) - 3x(x - 2y) - 2x + 1
Use distributive property
= 4x*2x - 4x*y -3x *x - (-3x) * 2y - 2x +1
= 8x² - 4xy - 3x² + 6xy - 2x + 1
= 8x² - 3x² - 4xy + 6xy - 2x + 1
Combine like terms
= 5x² + 2xy - 2x + 1
Substitute x = -1 & y = 2
= 5(-1)² + 2*(-1)*2 - 2(-1) + 1
= 5*1 - 4 + 2 + 1
= 5 - 4 + 2 + 1
= 4
If the point (b,15) lies on the straight line with equation Y=5x fonde the value of b ?
Answer:
b = 3
Step-by-step explanation:
Substitute the y- coordinate 15 into the equation , that is
15 = 5x ( divide both sides by 5 )
3 = x
This is the x- coordinate of the point , so b = 3
If f(x) = 3х2 +1 and g(x) = 1-х, what is the value of (f-g)(2)?
12
14
оооо
36
38
Answer:
( f - g)(2) = 14Step-by-step explanation:
f(x) = 3x² + 1
g(x) = 1 - x
To find (f - g)(2) first find (f - g)(x)
To find (f - g)(x) subtract g(x) from f(x)
That's
(f - g)(x) = 3x² + 1 - ( 1 - x)
(f - g)(x) = 3x² + 1 - 1 + x
(f - g)(x) = 3x² + x
To find ( f - g)(2) substitute 2 into (f - g(x)
That's
( f - g)(2) = 3(2)² + 2
( f - g)(2) = 3(4) + 2
( f - g)(2) = 12 + 2
We have the final answer as
( f - g)(2) = 14Hope this helps you
Simplify the following expression: 6(5 - 3x) - 5(3x + 2)
�� 20 - 33x �� 40 + 33x
�� 20 + 33x �� 40 - 33x
Answer:20-33x
Step-by-step explanation:
Find the product.
1.(a + 3)(a - 4)
2. (x - 3)2
3. (2a – 62)(a + 462)
4.(x - 5)(x2 + 4x - 6)
Answer:
1. a²-a-12
2. 2x-6
3. 2a²+862a-28644
4. x³-x²-26x+30
Step-by-step explanation:
1. (a + 3)(a - 4) = a²-4a+3a-12 = a²-a-12
2. (x - 3)2 = 2x-6
3. (2a – 62)(a + 462) =2a²+924a-62a-28644 = 2a²+862a-28644
4.(x - 5)(x²+ 4x - 6) = x³+4x²-6x-5x²-20x+30 = x³-x²-26x+30
ASAP HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Haley fills a balloon with water until it becomes a sphere with a diameter of 5 centimeters. Approximately, how much water does the balloon contain? Use 3.14 for .
A. 26.17 cubic centimeters
B. 65.41 cubic centimeters
C. 523.33 cubic centimeters
D. 104.67 cubic centimeters
Answer:
523.33 cm³
Step-by-step explanation:
Volume of sphere is given by the formula :
V = (4/3)×pi×r³
= (4/3)×3.14×125
= 523.33 cm³
find the perimeter of a square of length of 5cm
Answer:
20cm
Step-by-step explanation:
If each side of the square = 5 cm, 5 cm times 4 sides = 20 cm.
Answer:
P=20cm
Step-by-step explanation:
To find the perimeter of a square, you just add all the four sides.
Because it says the sides are 5cm, and squares always have the same length, you just:
5+5+5+6=20cm
So, the perimeter of this square is 20cm.
Hope this helps, and have a nice day:)
An owner of Honda City car sells his car at a price of RM 7.50,000 with a loss present of 12.5%. Then find the price at which he purchased the car and also find the loss suffered by the owner.
Answer:
Cost = RM 857143
Loss = RM 107143
Step-by-step explanation:
Given:
Selling price SP = RM 750000Loss% = 12.5Cost price CP = xCost price is found as:
SP = CP - 12.5%750000 = x - 12.5%750000= x*(100-12.5)/100750000= 0.875xx= 750000/0.875x≈ RM 857143Loss is:
RM 857143 - 750000 = RM 107143X(X + 8) = 9
Algebra 2
Answer:
x = -9, 1
Step-by-step explanation:
x (x + 8 )= 9
x^2 + 8x = 9
x^2 + 8x - 9 = 0
(x + 9)(x - 1) = 0
x = -9, 1
Hope this helps!
Answer:
x = 3 and x = 0
Step-by-step explanation:
A way to solve is simplifying the given equation:
X^2 + 8x = 9
So
x = 3 and x = 0
3^2 + 8(0) = 9
9 + 0 = 9
9 = 9
The 100-meter dash times in the girls track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds. What is the probability that a runner finished between 12.4 and 14 seconds?
Answer:
The probability is 0.97682
Step-by-step explanation:
We start by finding the z-values of the runner times given.
Mathematically;
z-score = (x-mean)/SD
From the question, mean = 13 seconds and SD = 0.3 seconds
So for 12.4 seconds, we have;
z = (12.4-13)/0.3 = -0.6/0.3 = -2
For 14 seconds, we have;
z = (14-13)/0.3= 1/0.3 = 3.33
So the probability we want to calculate is;
P(-2<z<3.33)
We can find this using the standard normal distribution table
Mathematically;
P(-2<z<3.33) = P(z<3.33) - P(z < -2)
Using the standard normal distribution table, the value of this is;
P(-2<z<3.33) = 0.97682
really need help to do step by step
Answer:
x/4+10=2
x/4=2-10
x/4=-8
x=-8 x 4
x=-32
Step-by-step explanation:
u and v are position vectors with terminal points at (-8, 5) and (-3, -12), respectively. Find the terminal point of u + v
(-11, -7)
(-11, 7)
(-5, -7)
(5, -17)
Answer:
(-11,-7)
Step-by-step explanation:
U V
(-8,5) + (-3,-12)
(-8 - 3) , (5 - 12)
-11 , -7
(-11,7)
Answer:
(-11,-7)
Step-by-step explanation:
u = (-8, 5)
v = (-3, -12)
u+v = ( -8+-3, 5+-12)
= (-11,-7)
A giant pie is created in an attempt to break a world record for baking. The pie is shown below: A circle is shown with a central angle marked 38 degrees and the diameter marked 20 feet. What is the area of the slice of pie that was cut, rounded to the nearest hundredth? 22.08 ft2 13.19 ft2 33.14 ft2 28.97 ft2
Answer:
33.14 ft^2
Step-by-step explanation:
First find the area of the circle
The diameter is 20 ft so the radius is 1/2 of the diameter of 20*1/2 = 10 ft
A = pi r^2 = pi ( 10)^2 = 100 pi
The central angle is 38
That is a fraction of the circle, which is 360 degrees
38/360 = 19/180
Multiply the fraction of the circle by the area
19/180 * 100 pi
19/9 * 5 pi
Using 3.14 for pi
33.144444
To the nearest hundredth
33.14 ft^2
The area of the slice of pie that was cut, rounded to the nearest hundredth 33.14 ft^2.
We have to first find the area of the circle.
The diameter is 20 ft so the radius is 1/2 of the diameter of
20*1/2 = 10 ft.
What is the area of the circle?
The area of a circle [tex]A = \pi r^2[/tex]
By using the formula we have,
A= pi ( 10)^2
A = 100 pi
The central angle is 38.
That is a fraction of the circle, which is 360 degrees
38/360 = 19/180
Multiply the fraction of the circle by the area
19/180 * 100 pi
19/9 * 5 pi
Using 3.14 for pi
33.144444
To the nearest hundredth, it is 33.14 ft^2.
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Write and solve an inequality for x.
I will give BRAINLIEST TO ANYONE WHO ANSWERS CORRECTLY!
Answer:
A
Step-by-step explanation:
So, we are given a right triangle and we know that 2x+4 is the length of the hypotenuse and 8 is the length of one of the sides.
Remember that the hypotenuse in a right triangle will always always be the longest side. Therefore, we can write the following inequality:
[tex]2x+4>8\\2x>4\\x>2[/tex]
The answer is A.
Answer:x>2
Step-by-step explanation:
2x+4>8
2x>8-4
2x>4
x>4/2
x>2
is the sum of any two numbers is greater than the larger of the two numbers?
Answer: Yes the sum of any two numbers is greater than the larger of the two numbers.
Step-by-step explanation:
Yes the sum of any two numbers is greater than the larger of the two numbers.
Let us assume that the two numbers are a and b and ab is the number.
a + b > a
b > a – a
b > 0
This therefore implies that b > 0.
This may however not be true when the value of b is zero(0) or a negative number.
Geometry, please answer question ASAP
BECAUSE ACCORDING TO THE PERIMETER (TRIANGLE ) FORMULA = B * H / 2.
B = BASE.
H = HEIGHT.
THE HEIGHT IS A VARIABLE VLAUE NEEDED IN ORDER TO ONTINUE TO SOLVE AND EVENTUALLY LEADING TO THE ANSWER (TRIANGLE PERIMETER.
-3x=3x+10 drnrjrjrjirjrjrjrjrje
Answer:
-1.666666...
Step-by-step explanation:
What is the cost of buying 5 kg of cheese worth
$9.00 per kg?
Cost of 1 kg = $9
So, cost of 5 kg = $9 × 5 = $45
Father's age is 3 times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of two children. Find the age of father.
Answer:
45 is the father's age
Step-by-step explanation:
calculate the area of shaded region
Answer:
528 cm squared
Step-by-step explanation:
A parallelogram (slanted shape at the bottom) is essentially the same area as a rectangle.
Therefore, both shapes have the same measurements.
Multiply the length and height of the rectangle to get its area: 22cm×12cm =264cm squared
Since the area of the rectangle corresponds geometrically to the area of the parallelogram, just multiply the area of the rectangle (264cm squared), by 2.
So 264×2, = 528cm squared
Ta da...
does anyone understand this?
Answer:
Answer is 3
Step-by-step explanation:
[tex] \frac{ \sqrt{144} }{ \sqrt[5]{243} } - 5 + 16 \div \sqrt[3]{64} \\ = \frac{12}{3} - 5 + (16 \div 4) \\ \\ = 4 - 5 + 4 \\ = 3[/tex]
Answer:
3
Step-by-step explanation:
step by step explaination is in picture
The following are house prices in Southern California:
$750,000 $680,000 $600,000 $880,000 $1,200,000 $760,000 $480,000
What is the median house price?
Answer:
$750,000
Step-by-step explanation:
$750,000 $680,000 $600,000 $880,000 $1,200,000 $760,000 $480,000
Write the prices in increasing order and choose the middle one.
$480,000 $600,000 $680,000 $750,000 $760,000 $880,000 $1,200,000
Answer: $750,000
Yazmin is investigating the growth of plants under different conditions for her science class. Once the little sprouts were 1 inch tall, she found that they were growing at a steady rate of about 1/2 inch per day. Write a function that helps Yazmin to see how many days it takes for the plants to reach a given height. Let h = height of the plant (inches), and let d = number of days (days)
Answer:
0.5+d=h
Step-by-step explanation:
If a plant is growing at a steady rate of 0.5 inches (h) in 1 day (d) then after one day your equation should look like: 0.5+1 which would give you the height of the plant in inches. If this is true, then you would keep the height per day the same (0.5) substitute the 1 for d (one day); then your equation would look like this: 0.5+d which would give you the height of the plant in inches (h).
0.5+d=h
The function that helps Yazmin to see how many days it takes is h = 1 + 0.5d.
What is a function?Functions were originally the idealization of how a varying quantity depends on another quantity.
Now it is given that,
Height of sprout = 1 inch
Growth per day = 1/2 inch
Let h = height of the plant (inches), and let d = number of days (days)
∵ Growth per day = 1/2 inch
So, Growth of plant in d days = d * 1/2 = d/2 = 0.5d
Thus, height of the plant, h = 1 + Growth of plant in d days
⇒ h = 1 + 0.5d
Thus, the function that helps Yazmin to see how many days it takes is h = 1 + 0.5d.
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