Answer:
Answer is A all multiples of 5 end with 5 or 0
Find the next two numbers in the number pattern.
5, 10, 11, 22, 23,
9
3 lets We State
2 in
5 in
sain.
8 in
book
10 in
empty box
If a=-2 and b=-4 find the value of 3a+b+4
Answer:
-6
Step-by-step explanation:
hey laudu
[tex]3a + b + 4[/tex]
[tex]3( - 2) + ( - 4) + 4[/tex]
[tex] - 6 - 4 + 4[/tex]
[tex] - 6[/tex]
Step-by-step explanation:
❀ [tex] \underline{ \underline{ \text{Given}}} : [/tex]
a = -2 & b = - 4❀ [tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
value of 3a + b + 4✏ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]
All you need to do is plug the value and simplify !
⟶ [tex] \tt{3 \times ( - 2) + ( - 4) + 4}[/tex]
⟶ [tex] \tt{ - 6 + ( - 4) + 4}[/tex]
⟶ [tex] \tt{ - 6 - 4 + 4}[/tex]
⟶ [tex] \tt{ - 10 + 4}[/tex]
⟶ [tex] \boxed{ \tt{ - 6}}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ - 6}}}}}}[/tex]
Hope I helped ! ♪
Have a wonderful day / night ! ♡
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Is it a, b , c , or d?
The line has a positive slope. Let's look at all the slopes:
1) -3
2) -3
3) 3
4)3
Which ones are positive? That's right, 3 and 4. We don't know which equation would be the equation of the line. That's where the other information comes in.
The line intersects the y-axis at at a point that has a negative y-coordinate. Lets write the last two equations in slope-intercept form.
1) y = -3/2x - 5/2
2) y = -3/2x + 5/2
We have to graph both of the lines now. The graphs are at the very bottom. Take a look at them. In the first one, the y-intercept is a negative and in the second one, the y-intercept is positive.
The third one AKA 3x + 2y = -5 is the equation of the line. I hope this helps! Let me know if I got it wrong or if you need any more help.
Consider the equations: y= 2x + 2 and y= x+2
Answer:
(0,2)
Step-by-step explanation:
X=0 and y=2
Find the value of k given that the line through (k, 2) and (7, 0) is perpendicular to the line y=x−285.
Answer:
k = 5.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope, and b is the y-intercept(y when x = 0).
Perpendicular lines
When two lines are perpendicular, the multiplication of their slopes is -1.
Perpendicular to the line y=x−285.
This line has slope 1, so the line we want to find the equation has slope [tex]m = -1[/tex]
Then
[tex]y = -x + b[/tex]
Passes through (7, 0)
This means that when [tex]x = 7, y = 0[/tex]. So
[tex]y = -x + b[/tex]
[tex]0 = -7 + b[/tex]
[tex]b = 7[/tex]
So
[tex]y = -x + 7[/tex]
Find the value of k given that the line through (k, 2)
This means that when [tex]x = k, y = 2[/tex]. So
[tex]y = -x + 7[/tex]
[tex]2 = -k + 7[/tex]
[tex]k = 7 - 2 = 5[/tex]
The value of k is k = 5.
The length of a rectangle is (x - 9) feet. Its width is x feet. Write an expression you could use to find the perimeter
Answer:
The expression for the perimeter of the rectangle is: [tex]P = 4x - 18[/tex]
Step-by-step explanation:
Perimeter of a rectangle:
A rectangle has length l and width w. It's perimeter is given by:
[tex]P = 2(l + w)[/tex]
In this question:
[tex]l = x - 9, w = x[/tex]
So
[tex]P = 2(x - 9 + x) = 2(2x - 9) = 4x - 18[/tex]
The expression for the perimeter of the rectangle is: [tex]P = 4x - 18[/tex]
10 Which of these transformations make the pre-image
and image congruent?
a) Reflection
b) Dilation
c) Translation
d) Rotation
Answer:
reflection and rotation
Step-by-step explanation:
I need help with this
Answer:
1) The factorized form of the polynomial is [tex](x-5)\cdot (x+2) = 0[/tex].
2) The factorized form of the polynomial is [tex](x+6)\cdot (x-4) = 0[/tex].
3) [tex]r_{1} = -3[/tex], [tex]r_{2} = -2[/tex]. (Option D)
4) [tex]r_{1} = -7[/tex], [tex]r_{2} = 5[/tex]. (Option A)
Step-by-step explanation:
All exercise are case of factorization of second grade polynomials of the form [tex]x^{2} +(-r_{1} - r_{2})\cdot x + r_{1}\cdot r_{2}[/tex], where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the two roots of the polynomial. Now we proceed to solve each polynomial:
1) [tex]x^{2}-3\cdot x-10 = 0[/tex]
In this case, the coefficients have the following characteristics:
[tex]-r_{1}-r_{2} = -3[/tex]
[tex]r_{1}\cdot r_{2} = -10[/tex]
The solution of this system of nonlinear equations is: [tex]r_{1} = 5[/tex], [tex]r_{2} = -2[/tex].
Then, the factorized form of the polynomial is:
[tex](x-5)\cdot (x+2) = 0[/tex]
2) [tex]x^{2}+2\cdot x -24 = 0[/tex]
In this case, the coefficients have the following characteristics:
[tex]-r_{1}-r_{2} = 2[/tex]
[tex]r_{1}\cdot r_{2} = -24[/tex]
The solution of this system of nonlinear equations is: [tex]r_{1} = -6[/tex], [tex]r_{2} = 4[/tex].
Then, the factorized form of the polynomial is:
[tex](x+6)\cdot (x-4) = 0[/tex]
3) [tex]x^{2} + 5\cdot x +6 = 0[/tex]
In this case, the coefficients have the following characteristics:
[tex]-r_{1}-r_{2} = 5[/tex]
[tex]r_{1}\cdot r_{2} = 6[/tex]
The solution of this system of nonlinear equations is: [tex]r_{1} = -3[/tex], [tex]r_{2} = -2[/tex].
Hence, the correct answer is D.
4) [tex]x^{2}+2\cdot x -35 = 0[/tex]
In this case, the coefficients have the following characteristics:
[tex]-r_{1}-r_{2} = 2[/tex]
[tex]r_{1}\cdot r_{2} = -35[/tex]
The solution of this system of nonlinear equations is: [tex]r_{1} = -7[/tex], [tex]r_{2} = 5[/tex].
Hence, the correct answer is A.
60% of 300 equal . 60 of what is equal to 300. 60 out of 300 is how many percent
Step-by-step explanation:
6/10*300=180
60% of 500 is 300
6/10x=300 x=500
60/300=1/5=20%
Write the simplest polynomial for the given zeros in standard form 7 ,2 , -6
Answer:
x³-3x²-40x+84
Step-by-step explanation:
y = (x-7)(x-2)(x+6)
= (x²-9x+14)(x+6)
= (x³-9x²+14x)+(6x²-54x+84)
= x³-3x²-40x+84
I need some help please (very simple and 50 points)
did it rotate then reflect
translated then rotated
rotated then translated
reflected then translated
Answer:
Step-by-step explanation Yes u did It right
in one town, 76% of adults have health insurance. what is the probability that 7 adults selected at random from the town all have health insurance?
Answer:
15% probability that 7 adults selected at random from the town all have health insurance.
Step-by-step explanation:
(sample/population)^number of times selected
(76/100)^7 = (0.76)^7 = 0.15 = 15%
What is 86,503 when writing in expanded
Answer:
86 thousand 5 hundred and 3
Step-by-step explanation:
When a building casts a 20 meter shadow, a woman that is 1.8 meters tall casts a shadow that is 2.4 meters long. What is the difference in the height of the building and it's shadow length?
Answer:
Difference = 5 meters
Step-by-step explanation:
Given that:
Length of shadow of building = 20 meter
Height of woman = 1.8 meters
Shadow length of woman = 2.4 meters
Height of building = x
Ratio of building's height to shadow = x : 20
Ratio of woman's height to shadow = 1.8 : 2.4
x : 20 :: 1.8 : 2.4
Product of mean = Product of extreme
20 * 1.8 = 2.4x
2.4x = 36
Dividing both sides by 2.4
[tex]\frac{2.4x}{2.4}=\frac{36}{2.4}\\x=15[/tex]
Difference in height and shadow = 20 - 15 = 5 meters
Hence,
Difference = 5 meters
find the area of the rectangular prism
Answer:
384 sq ft.
Step-by-step explanation:
Given:
L = 12 ft
W = 9 ft
H = 4 ft
Required:
Surface area of the rectangular prism
SOLUTION:
Surface Area of rectangular prism = 2(LW + LH + WH)
SA = 2(12*9 + 12*4 + 9*4)
SA = 2(108 + 48 + 36)
SA = 2(192)
SA = 384 ft²
What is the average rate of change of f(x) = esin x over the interval Left-bracket StartFraction pi Over 2 EndFraction, pi Right-bracket?
StartFraction e minus 1 Over pi EndFraction
StartFraction 1 minus e Over pi EndFraction
StartFraction 2 (e minus 1) Over pi EndFraction
StartFraction 2 (1 minus e) Over pi EndFraction
Answer: [tex]2(\dfrac{1-e}{\pi})[/tex] or StartFraction 2 (1 minus e) Over pi EndFraction
Step-by-step explanation:
The average rate of function f(x) over the interval [a,b] is given by:-
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given : [tex]f(x)=e^{\sin x}[/tex]
The average rate of change over [tex][\dfrac{\pi}{2},\pi][/tex] will be:
[tex]\dfrac{f(\pi)-f(\dfrac{\pi}{2})}{\pi-\dfrac{\pi}{2}}=\dfrac{e^{\sin \pi}-e^{\sin \dfrac{\pi}{2}}}{\dfrac{\pi}{2}}\\\\=\dfrac{e^0-e^1}{ \dfrac{\pi}{2}}\\\\=2(\dfrac{1-e}{\pi})[/tex]
Hence, the average rate of change over [tex][\dfrac{\pi}{2},\pi][/tex] is [tex]2(\dfrac{1-e}{\pi})[/tex].
Answer:
2 (1 minus e) Over pi
Step-by-step explanation:
edge 2023
Two square rooms have a total floor area of 230 m2, and one is 4 metres bigger each way than
the other. Let the smaller room have a length x. Find the dimensions of the room.
Please explain your answer
Answer:
12.54m by 12.54 and 8.54m by 8.54m
Step-by-step explanation:
Area of a square = L²
L is the side length of the room
The total area of the two square room = A₁+A₂
T = A₁+A₂
T = L₁²+x²
If the two square rooms have a total floor area of 230 m², then;
L₁²+x² = 230. ..... 1
If one room is 4 meters bigger each way than other, then;
L₁ = x + 4 .... 2
where x is the length of the smaller room
Substitute equation 2 into 1;
From 1: L₁²+x² = 230
(x+4)²+x² = 230
x²+8x+16+x² = 230
2x²+8x+16-230 = 0
2x²+8x-214 = 0
x²+4x-107 = 0
x = -4±√16-4(-107)/2
x = -4±√16+428/2
x = -4±21.07/2
x = 17.07/2
x = 8.54m
L₁ = x+4
L₁ = 8.54+4
L₁ = 12.54m
Hence the dimensions of the room is 12.54m by 12.54 and 8.54m by 8.54m
William was parasailing at about 900 feet in the air while a shark swam
directly below him at 30 feet below the surface of the ocean. How far is
William from the shark?*
Answer:
930m
Step-by-step explanation:
It says they were 900 feet in the air below him is the ocean so thats 900 meters away from him and the shark is 30 feat below the surface of the ocean so you would do 900+30=930m so the shark is 930m away from him
A local store, Faith Ltd has two options to choose either Big Van or Small Van or both types of van to supply bags of rice to local restaurants.
(a) Big Van has capacity of 15 tonnes at £250
(b) Small Van has capacity of 9 tonnes at £151.
If the Faith Ltd wants to supply 50 tonnes of rice what is cheapest cost £ to pay?
Answer:
Cheapest cost to pay = £906
Step-by-step explanation:
Given that:
Rice to supply = 50 tonnes
Option A:
Big van has capacity of 15 tonnes.
Number of big vans = [tex]\frac{50}{15}=3.33[/tex]
It means that 4 big vans will be needed for transporting 50 tonnes of rice.
Cost of 4 vans = 4*250 = £1000
Option B:
Small van has capacity of 9 tonnes.
Number of small vans = [tex]\frac{50}{9} = 5.55[/tex]
It means that 6 small vans will be nedded for transporting 50 tonnes of rice.
Cost of 6 vans = 6*151 = £906
Therefore,
The company can transport the rice through small vans.
Hence,
Cheapest cost to pay = £906
What is -2.3 - ( 4.5 - 3 1/2)?
a) 2.3
b)-10.3
c) -3.3
d)-1.3
PLEASE HELP ME SOON!!!!!
Answer:
-3.3 (Choice 3)
Answer:
-3.3
Step-by-step explanation:
1/2=0.5 so 3+0.5=3.5
4.5-3.5=1 Brackets comes first because BIDMAS
-2.3-1= -3.3
The visual representation shown correctly represents the relationship between whole numbers and integers?
Answer:
b) False, all integers are whole numbers, but not all whole numbers are integers
Tessa is training for her town's annual fun run. Today, she plans to run along a 1.55-mile loop trail in a nearby park. If Tessa wants to run a total of 3.1 miles, how many loops should she do?
Answer:
2 loops
Step-by-step explanation:
If Tessa wants to run a total of 3.1 miles, then she has to complete 2 loops.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
Tessa is training for her town's annual fun run.
Today, she plans to run along a 1.55-mile loop trail in a nearby park.
If Tessa wants to run a total of 3.1 miles.
Then the number of the loop will be
[tex]\rightarrow \dfrac{3.1}{1.55}\\\\\rightarrow 2[/tex]
Then the total number of the loops is 2.
More about the division link is given below.
https://brainly.com/question/369266
#SPJ2
A tank contains 100 kg of salt and 2000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the same rate.
Required:
a. What is the concentration of our solution in the tank initially?
b. Find the amount of salt in the tank after 4.5 hours.
c. Find the concentration of salt in the solution in the tank as time approaches infinity.
a. The concentration of the solution is 0.05 kg/L. b. The amount of salt is 154 kg after 4.5 hours. c. The concentration of salt in the solution in the tank approaches 0 as the time approaches infinity.
a. The concentration of the salt in the tank initially is given by the amount of salt divided by the volume of water:
0.025 kg/L = 100 kg / 2000 L = 0.05 kg/L
b. Let t be the time in minutes. The amount of salt in the tank after t minutes is given by:
100 kg + 0.025 kg/L × 8 L/min × t
To find the amount of salt after 4.5 hours, we convert the time to minutes:
4.5 hours × 60 minutes/hour = 270 minutes
And substitute this value of t into the equation:
100 kg + 0.025 kg/L × 8 L/min × 270 min = 100 kg + 54 kg = 154 kg
c. The concentration of salt in the solution in the tank as the time approaches infinity is given by:
154 kg / (2000 L + 8 L/min × t) as t approaches infinity
As t approaches infinity, the volume of water in the tank approaches infinity, so the concentration of salt in the solution approaches 0.
So, the concentration of salt in the solution in the tank approaches 0 as the time approaches infinity.
Learn more about the concentration of the salt here:
https://brainly.com/question/14177007
#SPJ1
What is the values of the expression below?
2[32-4(4-1³)
Answer:
The answer is 40.
Step-by-step explanation:
Calculate within the parenthesis. After calculate the outside by the inside.
4 (x-9) = -48 x= please help me
distribute the 4:
4x-36=-48x
subtract 4x
-36=-52x
divide by -52
x=1/2
Dominic answered 43 of the 50 questions on his spelling test correctly. Which decimal represents the fraction of problems he answered incorrectly?
A 0.86
B 0.07
C 0.93
D 0.14
ASAP PLEASE I HAVEE 5 MORE MIN
and please explain how to do it
Answer:
0.86
Explanation:
He answered 43 out of 50 questions.
As a fraction this is written
43
50
To convert this fraction to a decimal fraction divide 43 by 50 .This
can be done on a calculator to obtain 0.86
Step-by-step explanation:
Brainliest?
A bottle rocket is shot off a bridge into the stream below. The height of the rocket (in feet) above
the water is modeled by h (t) = -1662 +96t + 112, where t represents time (in seconds).
How many seconds will it take for the rocket to reach its maximum height?
seconds
What is the maximum height the rocket will reach?
feet
How many second will it take for the rocket to hit the water?
seconds
The correct model of the height of rocket above water is;
h(t) = -16t² + 96t + 112
Answer:
time to reach max height = 3 seconds
h_max = 256 ft
Time to hit the water = 7 seconds
Step-by-step explanation:
We are given height of water above rocket;
h(t) = -16t² + 96t + 112
From labeling quadratic equations, we know that from the equation given, we have;
a = -16 and b = 96 and c = 112
To find the time to reach maximum height, we will use the vertex formula which is; -b/2a
t_max = -96/(2 × -16)
t_max = 3 seconds
Thus, maximum height will be at t = 3 secs
Thus;
h_max = h(3) = -16(3)² + 96(3) + 112
h_max = -144 + 288 + 112
h_max = 256 ft
Time for it to hit the water means that height is zero.
Thus;
-16t² + 96t + 112 = 0
From online quadratic formula, we have;
t = 7 seconds
compare the box plot for two data sets.which statement is true{in iready diagnostic
Answer: Set A is greater than set B
Step-by-step explanation:
You can see that the scale of set A is larger than the scale of set B. Therefore making set A greater than set B
Solve for y: 2x+3y=15
Answer:
[tex]\huge\boxed{y=5-\frac{2}{3}x}[/tex]
Step-by-step explanation:
With the equation [tex]\displaystyle 2x+3y=15[/tex], we can solve for y by algebraically manipulating the question until we have y isolated on one side.
It's important to note that if we do something to one side, we have to do it to another. Just as [tex]5=5[/tex], adding two to both sides still makes it true [tex]5+2=5+2, 7=7[/tex].
[tex]2x+3y=15[/tex] [tex]\displaystyle \frac{2x}{3} + \frac{3y}{3} = \frac{15}{3}[/tex] [tex]\displaystyle \frac{2}{3}x+y=5[/tex] [tex]\displaystyle \frac{2}{3}x - \frac{2}{3}x +y=5 - \frac{2}{3}x[/tex] [tex]\displaystyle y = 5 - \frac{2}{3}x[/tex]Therefore, this equation for y is [tex]\displaystyle y = 5 - \frac{2}{3}x[/tex] .
Hope this helped!
2x + 3y = 15
3y = 15 - 2x
y = 15 - 2x/3
