Answer:
300 time 15 = the answer
Answer:
4500
Step-by-step explanation:
The transformation from the function f(x)=3x to the function f(x) 3x-8
Answer:
It moves 8 to the right
Step-by-step explanation:
This is in the y axis so it will move 8 on the x axis
A town has a population of 5000 and grows 3.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 7300?
Answer:
Step-by-step explanation:
This is an exponential function. In order to find the answer to the question, we need to first determine what the equation is that models this information. The standard form for an exponential function is
[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth/decay rate. If the starting population is 5000, then
a = 5000
If the population is growing, that means that it retains 100% of the initial population and is added to by another 3.5%. So in a sense the population grows 100% + 3.5% = 103.5% or, in decimal form, 1.035. So
b = 1.035
Our function is
[tex]y=5000(1.035)^x[/tex] where y is the ending population and x is the number of years it takes to get to that ending population. We want to know how long, x, it will be til the population reaches 7300, y.
[tex]7300=5000(1.035)^x[/tex] and we need to solve for x. The only way to do that is by using logs. I'll use natural logs for this.
Begin by dividing both sides by 5000 to get
[tex]1.46=1.035^x[/tex] and take the natural log of both sides:
[tex]ln(1.46)=ln(1.035)^x[/tex]
The power rule for natural logs is that we can now bring the exponent down in front of the ln to get:
[tex]ln(1.46)=xln(1.035)[/tex] To solve for x, we now divide both sides by ln(1.035):
[tex]\frac{ln(1.46)}{ln(1.035)}=x[/tex]
Do that division on your calculator and get that
x = 11.0 years.
That means that 11 years after the population was 5000 it will be expected to reach 7300 (as long as the growth rate remains 3.5%)
can someone please help me
Answer:
Step-by-step explanation:
correct one is b
Each of these figures is based on a rectangle whose centre is shown.
How many of the figures have rotational symmetry of order two?
The last 2 shapes.
When you rotate both of them 360 degrees only at 180 and back at 360 it looks same.
+
Complete the fraction calculation below
3/8 + 1/6
Answer:
[tex]\frac{13}{24}[/tex]
Step-by-step explanation:
=> [tex]\frac{3}{8} +\frac{1}{6}[/tex]
LCM = 24
=> [tex]\frac{9+4}{24}[/tex]
=> [tex]\frac{13}{24}[/tex]
Answer:
[tex]\frac{13}{24}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8} +\frac{1}{6}[/tex]
[tex]\frac{3 \times 6}{8\times 6} +\frac{1\times8}{6\times8}[/tex]
[tex]\frac{18}{48} +\frac{8}{48}[/tex]
[tex]\frac{18+8}{48}[/tex]
[tex]\frac{26}{48}[/tex]
[tex]\frac{13}{24}=0.54166...[/tex]
A point Q is 24 km away and at a bearing of 072 degrees from P. From Q a man walks at a bearing of 320 degrees, to a point R, located directly north of P. Calculate the distance of PR and QR.
Answer:
RQ=35.51 km
PR=34.62 km
Step-by-step explanation:
Bearing of Q from P = 72 degrees
The complementary angle of 72 degrees is 18 degrees.Using alternate angles, we get the first angle at Q to be 18 degrees.Bearing of R from Q=320 degrees
320=270+50
Therefore, the second angle of Q is 50 degrees.
[tex]\angle P=72^\circ\\\angle Q=68^\circ\\\angle R=180^\circ-(72^\circ+68^\circ)=40^\circ[/tex]
Using Law of Sines
[tex]\dfrac{r}{\sin R} =\dfrac{p}{\sin P} \\\dfrac{24}{\sin 40} =\dfrac{p}{\sin 72} \\p=\sin 72 \times \dfrac{24}{\sin 40}\\\\p=RQ=35.51$ km[/tex]
Using Law of Sines
[tex]\dfrac{q}{\sin Q} =\dfrac{r}{\sin R} \\\dfrac{q}{\sin 68} =\dfrac{24}{\sin 40} \\q=\dfrac{24}{\sin 40}\times \sin 68\\\\q=PR=34.62$ km[/tex]
Can anybody help me with this and show work ?? :)
Answer: 3/2
Step-by-step explanation:
Just take the length of 1 side, for example LP, and count the length in units.
LP = 8 units
Now, L’P’ = 12 units, so divide the length of L’P’ by LP to get the factor of dilation.
12/8 = 3/2
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h = –16t^2 + 36t + 10. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. b. What is the ball’s maximum height?
Step-by-step explanation:
We have,
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :
[tex]h=-16t^2 + 36t + 10[/tex] ......(1)
Part (a) :
The maximum height reached by the ball is given by :
[tex]\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s[/tex]
Part (b) :
The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :
[tex]h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m[/tex]
5. BD and EG are parallel lines. Find the angle marked x in the picture
below. *
Answer:
The third option: 48 degrees.
Step-by-step explanation:
Angle GFH is congruent to angle CFE, which is congruent to ACB, therefore, all are congruent and equal to 48.
Answer:
x = 48
Step-by-step explanation:
∠x ≅ ∠C (vertical angles)
∠C ≅ ∠CFG (corresponding angles)
∠CFG ≅ ∠HFG ≅ 48° (vertical angle)
So
∠x ≅ 48 (Transitive property of equality)
Is 1,2,3,4 a geometric sequence ?
HOW DO U COMBINE LIKE TERMS I LITERALLY FORGOT LMK DO NOT LOOK IT UP OR ELSE CAUSE IMMA USE GRAMMARLY FOR UR ANSWERS AND SEE IF U DIDNT LOOK IT UP THANK YOU SMMMMM
Answer:
you combine like terms by adding them up
Step-by-step explanation:
Jayden is running laps at track practice. The track is 25 kilometers around. Jayden runs 1 lap in 2 minutes. How many minutes does it take Jayden to run 1 kilometer?
Answer:
0.08 minutes for a kilometer.
Step-by-step explanation:
If the track is 25 kilometers, and he runs 25 kilometers in 2 minutes, he runs a kilometer in 2÷25 minutes or 0.08 minutes which is 4.8 seconds.
I'm pretty sure the track isn't 25 kilometer or he can't run a lap in 2 minutes. But if so, the answer is 0.08 minutes.
find the value of sin (31π/3)
Answer:
[tex] \sin( \frac{31\pi}{3} ) [/tex]
= 0.537
Answer:
√3/2
Step-by-step explanation:
sin((31π/3)= sin( 10π + π/3)= sin(π/3) =√3/2
There are 870 boys and 800 girls in a school
The probability that a boy chosen at random studies Spanish is 2 thirds the probability that a girl chosen at random studies Spanish is three fifths. Work out the number of students in the school who study Spanish
Answer:
1060
Step-by-step explanation:
Given:
No. of boys = 870
No. of girls = 800
Probability that a boy chosen studies Spanish = [tex]\dfrac{2}{3}[/tex]
Probability that a girl chosen studies Spanish = [tex]\dfrac{3}{5}[/tex]
the number of boys in the school who study Spanish :
[tex]\dfrac{2}{3}\times 870=290\times 2=580[/tex]
the number of girls in the school who study Spanish :
[tex]\dfrac{3}{5}\times 800 \\=3\times 160\\\\=480[/tex]
Therefore, total number of students who study Spanish would be :
480+580=1060
The volume of the Atlantic Ocean is about 3.1 \cdot 10^{17}3.1⋅10 17 3, point, 1, dot, 10, start superscript, 17, end superscript cubic meters. The Mississippi River has an annual flow of 6.3 \cdot 10^{11}6.3⋅10 11 6, point, 3, dot, 10, start superscript, 11, end superscript cubic meters. How many times would the annual flow of the Mississippi River fit in the Atlantic Ocean? Write your final answer in scientific notation, and round to two decimal places.
Answer:
4.92*10^5
Step-by-step explanation
The annual flow of the Mississippi River would fit in the Atlantic Ocean approximately 4.92 x 10⁵ times.
What is volume?The space occupied by an object in three-dimensional space is called the volume of an object. In simple words, space is taken by an object.
To find out how many times the annual flow of the Mississippi River would fit in the Atlantic Ocean, we need to divide the volume of the Atlantic Ocean by the annual flow of the Mississippi River:
number of times = (volume of Atlantic Ocean) / (annual flow of Mississippi River)
= (3.1 x 10¹⁷ cubic meters) / (6.3 x 10¹¹ cubic meters)
= 4.92 x 10⁵
Rounding to two decimal places, the final answer is approximately 4.92 x 10⁵. Therefore, the annual flow of the Mississippi River would fit in the Atlantic Ocean approximately 492,000 times.
To learn more about the volume;
https://brainly.com/question/23477586
#SPJ2
The price of a bracelet is $1.29. If the tax rate is 5%, find the total cost of
the bracelet
Answer: $1.35
Step-by-step explanation:
1.29 * 5% = 1.29 * 0.05 = 0.0645
0.0645 rounds down to 0.06
1.29 + 0.06 = 1.35
5196
A large rectangle is made by joining three identical small rectangles as shown.
The perimeter of one small rectangle is 21 cm.
The width of one small rectangle is x cm.
x cm
Work out the perimeter of the large rectangle.
The final line of your answer should be of the form,
Perimeter of large rectangle is ... cm
Answer:
35 cm
Step-by-step explanation:
As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,
The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:
2(length + width) = Perimeter
2(2x + x) = 21
2(3x) = 21
6x = 21
x = 21/6 = 3.5 cm
x = 3.5 cm
From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:
2(length + width) = Perimeter
2(3x + 2x) = Perimeter
Perimeter = 2(5x)
Perimeter = 10x
Perimeter = 10(3.5)
Perimeter = 35 cm
WORTH 10 POINTS
can someone help me solve this question? Thank you.
Answer:
-10
Step-by-step explanation:
Variable k is denoted as vertical movement. In this case, the -10 is k. Therefore, the graph is moving 10 units down from the parent graph.
Express in the form n : 1 12 : 2
Answer:
6 : 1
Step-by-step explanation:
Given the ratio
12 : 2 ( divide both parts by 2 )
= 6 : 1 ← in the form n : 1
The rate StartFraction 165 ounces Over 11 boxes EndFraction describes the relationship between the number of boxes and the weight of the crackers in the boxes. What is the weight, in ounces, of one box?
Answer:
The weight in ounces of one box = 15ounces
Step-by-step explanation:
We are told the relationship between the number of boxes and the weight of the crackers in the boxes is given as 11boxes and 165ounces respectively.
In order words, 11boxes weigh 165ounces.
To determine the weight, in ounces, of one box, we would divide the weight of the 11boxes by the number of boxes.
Weight of the 11boxes = 165ounces
Number of boxes that gives that weight = 11
The weight of one box = 165/11
The weight of one box = 15ounces
Answer:
(C)
Step-by-step explanation:
I took the quiz
Which of the following represents the factorization of the polynomial below x^2+13x+42
Answer:
(x+7)(x+6)
Step-by-step explanation:
x²+13x+42
x²+6x+7x+42
x(x+6)+7(x+6)
(x+6)(x+7)
Answer:
a) (x+7) (x+6)
Step-by-step explanation:
That is the correct answer because you get it when you factor the current equation.
Hope it helps
Rewrite as a square or cube of a number: 1 11/25
Answer:
1.2^2
Step-by-step explanation:
1 11/25=36/25
square rout of 36/25=1.2
Answer:
1 11/25 is the same as 36/25. Since 36 and 25 are 6² and 5² respectively the answer is (6 / 5)².
yooo please help me w dis!! marking brainiest answer!!
Answer:
D.
[tex] {4}^{x + 7} [/tex]
Step-by-step explanation:
since it is an exponential graph shifted 7units to the left would be
[tex] {4}^{x + 7} [/tex]
What is the first step when constructing an angle bisector using only a compass and a straightedge? A. Place the compass needle on one of the legs of the angle, and draw an arc intersecting the other leg. B. Mark a point outside the angle, and draw an arc centered at the point, intersecting the vertex of the angle. C. Mark a point outside the angle, and draw a ray in any direction from the point. D. Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle. E. Mark a point in the angle's interior, and draw an arc centered at the point, intersecting both legs of the angle.
Answer:
d
Step-by-step explanation:
To construct an angle bisector with a compass D. Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle.
What is an angle bisector ?An angle bisector is a line segment that divides angle into two equal parts.
According to the given statements to construct an angle bisector using a compass span any width of radius in a compass pace in onto the vertex of the angle cut the two arc on the two lines then without changing the radius draw two arcs where the previous arcs have intersected the two lines.
learn more about angle bisector here :
https://brainly.com/question/3642603
#SPJ2
Mr. Scott uses an 8 GB flash drive to store his files for his classroom. His principal buys him a new 64 GB flash drive. What is the percent of increase in memory?
Answer:
12.5%
Step-by-step explanation:
8 / 64*100 =
(8 * 100) / 64 =
800 / 64 = 12.5
Hope this helped buddy! :D
Answer:
total memory = 8 GB + 64 GB
= 72 GB
extra memory = 64 GB
so percentage increase of memory
= ( 64 GB / 72 GB ) × 100
= 88.89 %
A rectangle with perimeter 18 cm has a length that is 3 cm more than twice its width. Find the dimensions of the rectangle. SOLVE EACH APPLICATION USING ALGEBRA. TYPE THE EQUATION OR INEQUALITY AND PLEASE SHOW WORK.
Answer:
Length = 7 cm
Width = 2 cm
Step-by-step explanation:
Perimeter of rectangle = 18 cm
Let length of rectangle = [tex]l[/tex] cm
Let width of rectangle = [tex]w[/tex] cm
As per given statement, length is 3 cm more than the twice of its width:
Writing equation:
[tex]l = 2\times w +3 ....... (1)[/tex]
Formula for perimeter of a rectangle is given as:
[tex]P = 2 \times (Length + Width)[/tex]
OR
[tex]P = 2 \times (l + w)[/tex]
Putting values of P as given and [tex]l[/tex] by using equation (1):
[tex]18 = 2 \times (2w +3 + w)\\\Rightarrow \dfrac{18}2 = 3w +3 \\\Rightarrow 9 = 3w +3\\\Rightarrow 3w = 9 -3\\\Rightarrow w = \dfrac{6}{3}\\\Rightarrow w = 2\ cm[/tex]
Putting value of [tex]w[/tex] in equation (1):
[tex]l = 2\times 2 +3 \\\Rightarrow l = 4+3\\\Rightarrow l = 7\ cm[/tex]
So, the dimensions are:
Length = 7 cm
Width = 2 cm
Simplify the polynomial, then evaluate for x=2. x=3x^2+2x-3-4x^2+6
Answer:
-x^2+3x+3; 5
Step-by-step explanation:
polynomial is -x^2+3x+3
when x=2 then -2^2+3*2+3=-4+6+3=5
The solution is Option B.
The value of the equation is A = -x² + 3x + 3 , and when x = 2 , A = 5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = x + 3x² + 2x - 3 - 4x² + 6 be equation (1)
On simplifying the equation , we get
A = 3x² - 4x² + x + 2x - 3 + 6
A = -x² + 3x + 3
Now , when x = 2
Substitute the value of x = 2 in the equation , we get
A = - ( 2 )² + 3 ( 2 ) + 3
A = -4 + 6 + 3
A = 9 - 4
A = 5
Therefore , the value of A is 5
Hence , the equation is A = -x² + 3x + 3
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Find the product of (x − 3)2
Answer:
x^2-6x+9
Step-by-step explanation:
(x-3)^2
(x-3)(x-3)
x^2-3x-3x+9
x^2-6x+9
A. One player places 1 red, 5 green and 3 blue tiles in Bag A, and 6 red, 4 green, and 2 blue in Bag B. What is the probability that the second player draws 2 tiles of the same color?
Answer:
[tex]\frac{8}{27}[/tex] is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.
Step-by-step explanation:
In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:
Red: The player pulls out a red tile first. This has a [tex]\frac{1}{9}[/tex] probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a [tex]\frac{6}{12}[/tex] probability attached to it. [tex]\frac{1}{9}[/tex] × [tex]\frac{6}{12}[/tex]=[tex]\frac{1}{18}[/tex] probability of happening.
Green: There is a [tex]\frac{5}{9}[/tex] probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be [tex]\frac{4}{12}[/tex]. [tex]\frac{5}{9}[/tex]×[tex]\frac{4}{12}[/tex]=[tex]\frac{5}{27}[/tex].
Blue: There is a [tex]\frac{3}{9}[/tex] probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is [tex]\frac{2}{12}[/tex] on its own, and them both being blue is [tex]\frac{3}{9}[/tex]×[tex]\frac{2}{12}[/tex]=[tex]\frac{1}{18}[/tex]
Adding [tex]\frac{1}{18}[/tex]+[tex]\frac{1}{18}[/tex]+[tex]\frac{5}{27}[/tex] we get the answer [tex]\frac{8}{27}[/tex].
Resolve into factors:2p(p-1)-p+1
Answer:
Do it your self
Step-by-step explanation: