Answer:
y = 14 [tex](6)^{x}[/tex]
Step-by-step explanation:
For an exponential function of the form y = a[tex]b^{x}[/tex]
Use the given points to find a and b
Using (0, 14 ), then
14 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , thus
a = 14
y = 14[tex]b^{x}[/tex]
Using (3, 3024 ) , then
3024 = 14 b³ ( divide both sides by 14 )
216 = b³ ( take the cube root of both sides )
b = [tex]\sqrt[3]{216}[/tex] = 6 , thus
y = 14 × [tex]6^{x}[/tex] ← exponential function
A book sold 35,300 copies in its first month of release. Suppose this represents 6.3 of the numbers sold to date. How many copies have been sold to date?
Answer:
560,317.460
Step-by-step explanation:
The computation of copies that have been sold is shown below:-
we assume the number of copies is x
So, the number of copies in the first month is
= [tex]\frac{6.3}{100} x[/tex]
As per the situation the number of sold copies is 35,300 so the equation will be
[tex]\frac{6.3}{100} x = 35,300[/tex]
[tex]6.3x = 35,300\times 100[/tex]
[tex]x = \frac{35,300\times 100}{6.3}[/tex]
after solving the above equation we will get the number of copied that have been sold to date
= 560,317.460
An underwater canyon begins at 40 feet below sea level and is 105 feet deep. What is the elevation of the bottom of the canyon?
Answer:
145 ft below sea level
Step-by-step explanation:
40 + 105 = 145
Answer:
145 feet
Step-by-step explanation:
Why is it important that the term “locked” is used when making the following statement? You can use a locked compass setting and a straightedge to draw two congruent segments.
You use a compass to draw an arc (or a full circle). The radius must be kept the same so that you can copy the length of the segment properly. If the compass could move freely, then it is unlikely the arc will be a piece of a circle, and rather some squiggly curve. So this is why the compass width must be locked into place.
A shop has a 3 for 2 offer on chocolate bars The normal price of a chocolate bar is 72p Sian gets 3 chocolate bars from the shop using this offer How much does she spend Give your answer in pounds
Answer:
1.44 pounds
Step-by-step explanation:
From the above question, we are told that:
The shop has 3 for 2 offer on chocolate bars going on .This means a customer can buy 2 chocolates get 1 free, for the price of 2 chocolates, a customer can get 3 chocolates.
If the price of 1 chocolate bar = 72p
2 chocolate bars =
72p × 2
= 144p
Hence, Sian spends 144p
We are asked to convert our answer to pounds
The symbol p represent pence in money form
Hence,
100p(pence) = 1 pound
144p(pence) = x
100p × x = 144p × 1
x = 144p/100p
x = 1.44 pounds
Therefore, Sian spends 1.44 pounds
simplify 4y+6x-3(x-2y)
Answer:
10y + 3x
Step-by-step explanation:
(4y + 6x) - 3 • (x - 2y)
Answer:
I think it's 10y+3x
Step-by-step explanation:
I search it up :(
Find the area of the shaded figure in square feet. Round to the nearest tenth if
necessary.
Answer:
to be honest I'm not sure
What is 27 multiplied by 4,684. Please do not answer in decimals. I need a whole number and a remainder.
Answer:
126468 is the result of 27 multiplied by 4684
(WILL GIVE BRAINLIEST!)
Find the distance d(A,B) between points A and B.
A(1,-6); B(1,6)
Answer:
12
Step-by-step explanation:
Since the x values are the same, we only have to look at the difference between the y values
6 - -6
6+6
12
The distance is 12
Answer:
[tex]\Huge \boxed{12}[/tex]
Step-by-step explanation:
To find the distance between two points, apply the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2 }[/tex]
Plug in the values.
[tex]d=\sqrt{(1-1)^2+ (6-(-6))^2 }[/tex]
Evaluate.
[tex]d=\sqrt{(0)^2+ (12)^2 }[/tex]
[tex]d=\sqrt{144}[/tex]
[tex]d=12[/tex]
Town B is 6 miles due north of town A, and town C is due east of town A. It is 11 miles from town B to town C. Find the distance from town A to towAn C.
Answer:
12.53 miles
Step-by-step explanation:
6² + 11² = x²
36 + 121 = x²
157 = x²
x = 12.53 miles
The distance from town A to town C would be; 12.53 miles.
What is a numerical expression?A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
We are given that Town B is 6 miles due north of town A, and town C is due east of town A. It is 11 miles from town B to town C.
Therefore,
6² + 11² = x²
36 + 121 = x²
157 = x²
x = 12.53 miles
Hence, the distance from town A to town C would be; 12.53 miles.
To know more about an expression follow;
brainly.com/question/19876186
#SPJ5
Check whether the numbers are divisible by 4:
(i) 23408
(ii) 100246
(iii) 34972
(iv)150126
(v) 58724
Step-by-step explanation:
a no. is divisible by 4 if the last two digits are a mutiple of 4
is divisble because of 08is not divisible because of 46is divisible 72not divisible 26divisible 24Just divide the last two no. by 4 to find the divisibilityAnswer:
(i), (iii), (v).
Step-by-step explanation:
If a number is divisible by 4 then its last 2 digits are divisible by 4.
For example 23408 is because 08 is divisible by 4.
Can someone answer these three questions? Thank you
Answer:
D, B, B
Step-by-step explanation:
Question 1: D
We need to solve for x.
z = 2π * (x / y)¹/²
z = 2π * (x¹/² / y¹/²)
z = 2π * (√x / √y)
z = √x * 2π / √y
√x = √y * (z / 2π)
x = y(z /2π)²
Question 2: B
(x⁵ + x⁴) / (x³ + x²)
= x⁴(x + 1) / x²(x + 1)
= x⁴ / x² = x⁽⁴⁻²⁾ = x²
Question 3: B
Let's try out A. Substituting p = 1, q = 1:
√1 * √1 = √(1 + 1)
1 * 1 = √2
1 = √2 FALSE
Let's try B. Substituting p = 2, q = 2:
√2 * √2 = √(2 + 2)
√4 = √4 TRUE so the answer is B.
Find the measure of b+d. A. 74 B. 90 C. 32 D. 58
Answer:
B. 90°
Step-by-step explanation:
Quadrilateral inscribed in the circle with center O is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
(b + d) + (32° + 58°) = 180°
b + d + 90° = 180°
b + d = 180° - 90°
b + d = 90°
some whole numbers are irrational numbers true or false and why ?
Answer:
False
Step-by-step explanation:
The set of numbers that include 0 plus the set of counting numbers. Which also includes 1-Infinity. Example....1,2,3,4, etc.
Answer:
False
Step-by-step explanation:
Whole numbers and irrational numbers are different set of numbers and they don't cross or overlap, therefore no whole number can be part of irrational numbers set
The endpoints of segment GH are G(-3,0) and H(11,- 4). What is the midpoint of segment
GH?
Answer:
The answer is ( 4 , - 2)Step-by-step explanation:
The midpoint M of a line segment can be found by using the formula
[tex] M = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
G(-3,0) and H(11,- 4)
Their midpoint is
[tex]M = ( \frac{ - 3 + 11}{2} , \frac{0 - 4}{2} ) \\ = ( \frac{8}{2} , - \frac{4}{2} )[/tex]We have the final answer as
( 4 , - 2)Hope this helps you
In Ms. Ford's classroom 13 students are able to fit comfortably into a 5 by 5 square.
Use this value to estimate the size of a crowd that is 10 feet deep on both sides of the street standing
along a 1-mile section of a parade route.
Answer:
Estimate of crowd is 27456.
Step-by-step explanation:
Given that a square of 5 by 5 can have 13 students.
Area of a square = [tex]side^2[/tex] = 25
Area of 25 can have 13 students.
Now, it is given that 10 feet square are used for crowd.
Area of square of side 10 feet = 100
So, area of 100 can have 13 [tex]\times[/tex] 4 = 52 people from crowd
Now, it is given that the parade route is 1 mile long.
1 mile = 5280 feet
1 mile = 528 [tex]\times[/tex] 10 feet
It means that there are 528 number of such squares on the 1 mile section of the parade route.
Kindly refer to the attached image as well.
So, number of people or the estimate of the size of crowd is:
528 [tex]\times[/tex] 52 = 27456
8+35/w=15
a.8
b.6
c.10
d.5
Answer:
[tex] \boxed{ \bold{ \huge{ \bold{w = 5}}}}[/tex]
Option D is the correct option
Step-by-step explanation:
[tex] \sf{8 + \frac{35}{w} = 15}[/tex]
⇒[tex] \sf{ \frac{8 \times w + 35}{w} = 15}[/tex] { w ÷ 1 = w , So, I wrote 8 × w }
⇒[tex] \sf{ \frac{8w + 35}{w} = 15}[/tex]
Apply cross product property
⇒[tex] \sf{8w + 35 = 15w}[/tex]
Move 15w to left hand side and change it's sign
Similarly, Move 35 to right hand side and change it's sign
⇒[tex] \sf{8w - 15w = - 35}[/tex]
Collect like terms
⇒[tex] \sf{ - 7 w = - 35 }[/tex]
Divide both sides of the equation by -7
⇒[tex] \sf{ \frac{ - 7w}{ - 7} = \frac{ - 35}{ - 7} }[/tex]
Calculate
⇒[tex] \sf{w = 5}[/tex]
Hope I helped!
Best regards!!
Answer:
w = 5
Step-by-step explanation:
8 + [tex]\frac{35}{w}[/tex] = 15
subtract 8 from both sides
8 + [tex]\frac{35}{w}[/tex] - 8 = 15 - 8
simplify
[tex]\frac{35}{w}[/tex] = 7
35/7 = w
w = 5
In an interview last month, the rebels estimated that a few hundred of their fighters had been trained over the past two years, and they received close to two million dollars worth of ammunition, guns, and heavy artillery during the same time period.
A) had been trained over the past two years, and they
B) were trained over the past two years, and they had
C) were trained over the past two years and they have
D) had been trained over the past two years and that they had
E) had been trained over the past two years and that they have
Answer:
D) had been trained over the past two years and that they had
Step-by-step explanation:
In the context, the sentence speaks of something that happened in the past, so 'had been' is required and also it speaks of parallelism of events, as an estimation is being made so, parallelism should be maintained.
Hence, option (D) satisfies the two requirements. And eliminate option A, B, C and E.
Thus, (D) is correct.
Please help! 3. Tim grouped these numbers together.
3
2
8
-101, -6.41, -19,-1,-0.3
3'
What rationale could Tim provide?
Answer:round up to the Nernst number
Step-by-step explanation:
Hope this helps
Answer:
round up the number
Step-by-step explanation:
Suppose the population of a town is 8,200 and is growing 4% each year, what is the population expected to be in 10 years
Answer:
12,138 people
Step-by-step explanation:
Create an equation using the basic exponential growth equation:
y = a(1 + r)^t, where a is the initial amount, r is the growth rate as a decimal, and t is the amount of time in years.
Plug in the values we know
y = a(1 + r)^t
y = 8200(1 + 0.04)^10
y = 8200(1.04)^10
= 12,138 people
can someone help me please
Answer:
(4x + 5)(x² + 25)
Step-by-step explanation:
Given
4x³ + 5x² + 100x + 125 ( factor the first/second and third/fourth terms )
= x²(4x + 5) + 25(4x + 5) ← factor out (4x + 5) from each term
= (4x + 5)(x² + 25)
A box is filled with 2 yellow cards, 4 blue cards, and 12 red cards. A card is chosen at random from the box. What is the probability that the card is not blue? Write your answer as a fraction in simplest form.
Answer:
7/9
Step-by-step explanation:
Given:
Number of yellow cards=2
Number of red cards=12
Number of blue cards=4
Total number of cards= Number of yellow cards+Number of red cards+Number of blue cards
= 2+4+12=18cards
Probability of a NON-blue card = number of non blue/ total number
where NON-blue= Number of red cards+
Number of yellow cards
= 2+12=14
P(not blue)=
=14/18
7/9
Therefore, probability that the card is not blue is 7/9
Solve 15 and 21, will give BRAINLIST!!
Answer:
Step-by-step explanation:
4/x=2/10cross multiplication:
4*10=2*x
40=2x
x=40/2=20
w/2 = 4.5/6.86.8w=2(4.5)
6.8w=9
w=9/6.8=1.32352941
How to find value of x on line segment
Answer:
by going to the x then going straight up or down depending on where your x is on the line graph then go back to the x and go straight across to the number from it then put the y value over x value in Thats your answer simplify if you need to
what is the coefficient of the x-term in the expression 4x+5xy-2y
Answer:
5
Step-by-step explanation:
PLEASE ANSWER FAST
What association does the scatter plot show?
A.Positive nonlinear association
B.Positive linear association
C.No association
D.Negative nonlinear association
E.Negative linear association
Answer:
Negative nonlinear association
Answer:
D is wrong
Step-by-step explanation:
I followed advice of a person above me and got it wrong on test. I now realise that the only logical and correct answer is C
Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Nelsons, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which Mr. and Mrs. Nelson hire the design firm. Which of the following statements are true? Select all that apply. he expression 50ℎ represents the total charge for Rock the House Digital Designs.
a.The expression 75ℎ represents the total charge for Elegance Home Architects.
b.The expression 500 + 75ℎ + 50ℎ represents the total amount the Nelsons will spend working drawings of their new house plans.
c.If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.
d.If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.
Answer:
The correct statements are (a), (c) and (d).
Step-by-step explanation:
The information provided is:
Rock the House Digital Designs charges $500.00 for the initial consultation with the Nelsons plus $50.00 for every additional hour of work for the house plans.Elegant Home Architects charge $75.00 per hour for the house plans.The variable h represent the number of hours for which Mr. and Mrs. Nelson hire the design firm.The total charge for Elegance Home Architects, if the Nelsons choose them will be:
Total for Elegance = 75 × h = 75h.
Suppose the Nelsons hire the design firm for 15 hours.
Total for Elegance = 75 × h = 75 × 15 = $1,125
Total for Rock = 500 + (50 × h) = 500 + (50 × 15) = $1,250
So, the Elegance Home Architects will be cheaper.
Suppose the Nelsons hire the design firm for 25 hours.
Total for Elegance = 75 × h = 75 × 25 = $1,875
Total for Rock = 500 + (50 × h) = 500 + (50 × 25) = $1,750
So, the Rock the House Digital Designs will be cheaper.
Thus, the correct statements are (a), (c) and (d).
Please help, I am desperate!?! Will name Brainliest!!
Suppose that a spotlight is used for lighting objects at many different distances and that the area A of the light circle produced is related to the distance x to the lighted object by A=0.1x^2.
a. If the spotlight produces 250 lumens of light energy, what function gives the intensity of the light I, (in lumens per square foot) as a function of the distance x in feet from the spotlight to its target?
b. Write and solve equations that match these questions about the light intensity from the spotlight.
i. What is the intensity of light on an object that is 20 feet from the spotlight source?
ii. How far from the spotlight is an object that recieves 100 lumens of light per square foot?
Answer:
Intensity = 2500/x^2
6.25 lumem
5 Feets
Step-by-step explanation:
Given the following :
Area (A) = 0.1x^2
Intensity, Energy and Area are related by the formular :
Intensity = power / Area
A) If 250 lumens of light energy is produced :
Intensity (I) = 250 / 0.1x^2
Intensity = 2500/x^2
x = distance
B) USING THE EQUATION :
1) What is the intensity of light on an object that is 20 feet from the spotlight source?
x = 20
Intensity = 2500/x^2
Intensity = 2500/20^2
Intensity = 2500/400
Intensity = 6.25 lumen
11) How far from the spotlight is an object that recieves 100 lumens of light per square foot?
Intensity = 100
100 = 2500 / x^2
100x^2 = 2500
x^2 = 2500/ 100
x^2 = 25
x = 5 Feets
f(x) = = 3x + 10
g(x) = x - 2
Find f(g(5))
9
19
23
-10
Given : f(x) = 3x + 10 and g(x) = x - 2
To Find : f(g(5))
[tex]:\implies\sf\:g(x) = x-2[/tex]
[tex]:\implies\sf\:g(5) = 5-2[/tex]
[tex]:\implies\bf\:g(5) = 3[/tex]
Now,
[tex]:\implies\sf\:f(x)=3x+10[/tex]
[tex]:\implies\sf\:f(g(5))=3x+10[/tex]
[tex]:\implies\sf\:f(3)=3(3)+10[/tex]
[tex]:\implies\sf\:f(3)=9+10[/tex]
[tex]:\implies\boxed{\bf{\blue{f(3)=19}}}[/tex]
Add. Write your answer as a fraction in simplest form. 9/10+(−4/5)= will mark brainliest
Answer:
[tex]\boxed{\frac{1}{10}}[/tex]
Step-by-step explanation:
[tex]\frac{9}{10}+(-\frac{4}{5})\\\\ \frac{9}{10}-\frac{4}{5}\\\\\text{LCM} (10,5): 10\\\\\rightarrow \frac{4*2}{5*2}=\frac{8}{10}\\\\\frac{9}{10} -\frac{8}{10}\\\\\boxed{\frac{1}{10}}[/tex]
Hope this helps.
Find the value of k, if (1, -1) is a solution of the equation 3x-ky = 8. Also, find the coordinates of another point lying on its graph.