Answer:
negative
Step-by-step explanation:
Let,
x1 = 0
x2 = 1
y1 = 50
y2 = 44
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 44 - 50 ) / ( 1 - 0 )
= - 6 / 1
= - 6
- 6 is a negative number.
So, the slope is negative.
When the length of each side of a square is increased by 5 cm, its area is increased by 895 cm2. Find the length of a side before the increase.
The length of a side before the increase is...
Answer:
Step-by-step explanation:
Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side: [tex](s+5)^2=s^2+10s+25[/tex]
The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.
Put that together into an equation:
[tex]s^2+10s+25=s^2+895[/tex] and simplify to
10s = 870 so
s = 87
Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is
8464 - 7569 = 895 so we did good!
A truck was carrying 10 bags of sugar. Each bag weighed 50kg. Calculate the total mass of sugar on the truck. Write your answer in grams.
Answer:
1beg-------------50kg
10beg------------x
x=500kg to grames 500×1000=500000grams
Answer:
500000g
Step-by-step explanation:
first of you multiply the 50kg with the 10 bags
which gives 500kg
then you convert 500kg to grams
which is 500kg/1×1000g/1kg
when you cancel out the kg what is left is to multiply both sides and then you get 50000g.
what are the points for the equation y +2 = - 3/4 (x+4)
Answer:A(1,-5)
B(6,-8)
Step-by-step explanation:
Can somebody help me Answer to this ??
X=7
c is the answer:
[tex]3x + 50 = 10x + 1 \\ 10x - 3x = 50 - 1 \\ 7x = 49 \\ x = \frac{49}{7} \\ x = 7[/tex]
La sombra que proyecta un edificio es de 16 m si el coseno del ángulo que se forma entre la punta de la sombra y el techo del edificio es 16/20 cual es la altura del edificio
Answer:
dont understand clearly
Step-by-step explanation:
dont understand clearly
3.)The lateral surface area of a right circular cylinder is 120cm² and the circumference of the bases is 12cm.Find the altitude of the cylinder
Answer:
Lateral surface area= circumference*height
120=12*h
h=10cm
Answer:
h=10 cm
Step-by-step explanation:
cicumference of a circle C=2πr=12
lateral surface area of cylinder=2πrh
120=12h
h=120/12=10 cm
find the sum or difference of the polynomials. Write your answer in descending
order.(-3x2 + 2x + 1) + (-8x2 + 3x + 2)
i think by x2 you meant x²
(-3x² + 2x + 1) + (-8x² + 3x + 2)
-11x² + 5x + 3
Find the sum that amounts to Rs 9,144 in 3 years at 9% per year simple interest.
Given:
Amount = Rs. 9,144
Time = 3 years.
Rate of simple interest = 9%
To find:
The principal value.
Solution:
The formula for simple interest is:
[tex]I=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the simple rate of interest, and t is the number of years.
Putting [tex]r=9,t=3[/tex] in the above formula, we get
[tex]I=\dfrac{P\times 9\times 3}{100}[/tex]
[tex]I=\dfrac{27P}{100}[/tex]
[tex]I=0.27P[/tex]
We know that,
[tex]\text{Amount}=\text{Principal + Interest}[/tex]
[tex]9144=P+0.27P[/tex]
[tex]9144=1.27P[/tex]
Divide both sides by 1.27, we get
[tex]\dfrac{9144}{1.27}=P[/tex]
[tex]7200=P[/tex]
Therefore, the principal value is Rs. 7200.
Can someone help me with this math homework please!
Answer:
Step-by-step explanation:
1) (-2, 0)
2) (2 , 0)
3) (0, -4)
Please anyone help me
If die is rolled two times, find the probably of getting "1'twice.
Math Answer[tex] {1}\{36} [/tex]
Feel fre e too ask me
Please understand it
#BrainliestBunch
Solve for b.
- 3b-5> - 8 or b - 4 < 0
Answer:
b<4
Step-by-step explanation:
- 3b-5> - 8 or b - 4 < 0
Solve the first inequality
- 3b-5> - 8
Add 5 to each side
- 3b-5+5> - 8 +5
-3b> -3
Divide by 3, flipping the inequality
-3b/-3 < -3/-3
b <1
Then solve the second inequality
b-4<0
Add 4 to each side
b<4
Put them back together
b<1 or <4
Merge them since they overlap
b<4
Please help me solve this question
Answer:
A = 16 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
The right triangle on the left is a 3- 4- 5 ( Pythagorean triple )
Then b = 4 and h = 4 , so
A = 4 × 4 = 16 units²
Can someone help me with this math problem please?
Answer:
C
Step-by-step explanation:
g(x) is larger than f(x) and not the same size so B and D are out of question because those are translation not dilation.
f(x) is stretched in the vertical direction to get g(x). So this means the scale factor has to be greater than 1. so A is wrong.
The answer is c
A ball is dropped from a height of 9 feet and allowed to bounce. Each time the ball bounces, it reaches a height that is23the height of the previous bounce. How many times will the ball be exactly 3 feet above the ground?
I'm assuming you meant to say "it reaches a height that is 2/3 the height of the previous bounce".
We have a geometric sequence with a = 9 as the first term and r = 2/3 as the common ratio.
The nth term is a*(r)^(n-1) = 9*(2/3)^(n-1)
Set this equal to 3 and solve for n. You'll need logs to isolate the exponent.
9*(2/3)^(n-1) = 3
(2/3)^(n-1) = 3/9
(2/3)^(n-1) = 1/3
log[ (2/3)^(n-1) ] = log(1/3)
(n-1)*log(2/3) = log(1/3)
(n-1)*(-0.17609) = -0.47712
n-1 = (-0.47712)/(-0.17609)
n-1 = 2.7095235
n = 2.7095235+1
n = 3.7095235
Unfortunately we don't get a whole number. We can see that the terms of the sequence are:
9, 6, 4, 2.667
Each term is found by multiplying 2/3 by the previous term.
We don't land exactly on "3". The closest we get is 2.667 approximately.
So to answer the question, there is no way to get to exactly 3 feet above the ground based on a whole number of bounces.
solve for x. round to the nearest tenth of a degree, if necessary.
x=30°
Answer:
Cos x°=adjacent/hypotenuse
Cos x°=45/52
x°=Cos-¹(45/52)
x°=30°
Which of the following accurately describes the median of a set of data? Multiple choice question. The midpoint of the data when it is arranged in order. The difference in the largest and smallest values. The most numerous observation in a set of data. The arithmetic average of the values in the set.
Answer:
The midpoint of the data when it is arranged in order.
Step-by-step explanation:
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
For example, the median of the following set of numbers is 5
1, 2, 5, 10, 20
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
There are 5 seats in a bus. In how many different ways if there are 5 children. How many different ways are there if there are 4 children, and how many different ways are there if there are 3 children.
Answer:
5=1
4=5
i don't really know for the third one sorry but it's more than 11
Step-by-step explanation:
Please help me!!!!! You have to match the slope of each line
Answer:
it would be line to zero slope that's all I can do for u pal maybe..
Three fourths of the offspring of two fruit flies have short wings, while the rest have wild-type wings . In a batch of offspring from those two flies, 100 have wild-type wings. How many of the flies have short wings?
Answer:
300
Step-by-step explanation:
If three-fourths of the offspring of two fruit flies have short wings and the rest have wild-type wings, then [tex]1-\frac{3}{4}=\frac{1}{4}[/tex] of the offspring must have wild-type wings. This means that the number of offspring that have short wings must be [tex]\frac{3/4}{1/4}=\frac{3}{4}\cdot \frac{4}{1}=3[/tex] times larger than the number of offspring that have wild-type wings. Since there are 100 offspring who have wild-type wings, there must be [tex]100\cdot 3=\boxed{300}[/tex] that have short wings.
Alternative:
If three-fourths of the offspring of two fruit flies have short wings and the rest have wild-type wings, then [tex]1-\frac{3}{4}=\frac{1}{4}[/tex] of the offspring must have wild-type wings. Therefore, 100 represents one-fourth of the total number of offspring, meaning there must be [tex]100\cdot 4=400[/tex] offspring total. Thus, there are [tex]400-100=\boxed{300}[/tex] offspring with short wings.
What is the simplified form of the following expression?
5 58-18-2-82
02.12
o 5.82
o 9.2
O 152
Answer:
[tex]5 \sqrt{2} [/tex]
Find y.
PLEASE HELP ASAPPPP
Answer:
y = 4
Step-by-step explanation:
[tex]\frac{sin(90)}{4\sqrt{2} } = \frac{sin(45)}{y}[/tex]
Answer:
y = 4
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
y = 4
A chocolate chip cookie recipe requires three and one third cups of flour to one cup of chocolate chips. If one and one quarter cups of flour is used what quantity of chocolate chips will be needed according to the recipe?
Answer:
3/40 cup
Step-by-step explanation:
3 1/3 =10/3
10/3 to 1 is 1/4 to x
i then proceeded to use the butterfly method to find the answer
The number of days (d) is equal
to the dividing of the number of hours (h) and 24.
A. d = h - 24
B. h = 24 d
C. h = 24-h
D. h = 24 + h
Answer:
B
Step-by-step explanation:
[tex]d \: = \frac{h}{24} [/tex]
[tex]h \: = 24d[/tex]
find the coordinates of the points which divide the join X(-1,7) and Y(4,-3) in the ratio of 7:2.
Answer:
(26/9 , -7/9)
Step-by-step explanation:
Here,
let the points be
X(-1,7) = (x1, y1)
Y(4,-3) = (x2,y2)
and let the ratio be...
m:n = 7:2
and.. let the point that divides the line be
P(x,y)
now using the section formula for internal division..
P(x,y) = ( m.x2 + nx.1 / m+ n , my2+ny2/m+n )
= ( 7.4+2.-1 / 7+2 , 7.-3 + 2.7/7+2 )
= ( 26/9 , -7/9 )
Please help me multiply this
Answer:
(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)
=3(x-4y)÷(x-8y)
Find UT given the base?
Answer:
19
Step-by-step explanation:
[tex] In \:\triangle HGI[/tex]
HU = UG & HT = TI (Given)
Therefore, U and T are the midpoints of sides HG and HI respectively.
So, by mid point formula:
[tex] UT = \frac{1}{2} GI \\ \\ UT = \frac{1}{2} \times 38 \\ \\ UT = 19 [/tex]
find the missing length indicated.
Answer:
Step-by-step explanation:
x is the geometric mean because it is a part of both the small triangle on the left (with base 81) and the whole triangle (with base 225). Setting up the geometric means formula:
[tex]\frac{81}{x}=\frac{x}{225}[/tex] and cross multiply to get
[tex]x^2 =18225[/tex] so
x = [tex]\sqrt{18225}[/tex] and
x = 135
A jar is filled with 74 different colored marbles, 10 of which are red, 38 of which are blue, and 26 of which are green. A player is asked to draw a single marble from the jar and if they draw a red marble they will win $20, if they draw a blue marble they will lose $10, and if they draw a green marble they will lose $5. You may round your answer to the nearest cent
Solution :
Colored marble Prize
Red ---- 10 20
Blue --- 38 10
Green --- 26 5
P(red) = 10/74 = 5/37
P(blue) = 38/74 = 19/37
P( green) = 26/74 = 13/37
Therefore,
X → Red Blue Green
P(X) 5/37 19/37 13/37
The expected values are :
[tex]$20 \times \frac{5}{37} - 10 \times \frac{19}{37} - 5 \times \frac{13}{37}[/tex]
= -4.189
Thus it is not profitable to play the game.
Which division is shown by the model?
Step-by-step explanation:
where the model step by step explanation
Viết khai triển theo công thức nhị thức Niu-tơn (x + 1) ^ 5
Answer:
x^5+5x^4+10x³+10x²+5x+1
Step-by-step explanation: