Answer:
x = 1
Step-by-step explanation:
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Given the function f(x) = 4^x - 1, explain and show how to find the average rate of change between x = 1 and x = 4.
Answer:
84
Step-by-step explanation:
f(1)=4^1 - 1 = 3
f(4) = 4^4 - 1 = 255
rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
(255 - 3) / (4 - 1) = 252 / 3 = 84
Use
f(x)= 800 (1.32)x for 1-3
What is the intial amount?
What is the growth rate?
What is the growth factor?
Which of the following is most likely the next step in the series
Answer:
A
Step-by-step explanation:
The pattern is blue red blue red
+
The pattern is vertical horizontal vertical horizontal
Answer:
A.
The second figure adds another red horizontal line to the first. The third adds a vertical blue line to the second. The fourth must add a red horizontal line to the third.
point A, located at (- 11, -7) on the coordinate plane, is reflected over the x- axis to form point B. Then point B is reflected over the y-axis to form point C. What are the coordinates of points B and C?
Answer:
Point B: (_11 , 7) Point C: (11, -7)CORRECT ME IF THERE'S WRONG!
Somebody please help!
Answer:
57 7/9
Step-by-step explanation:
I used a fraction calculator.
5/7 ÷ 2/3=?
Is it A?
Is it B?
Is it C?
Or is it D?
Answer:
[tex]C.[/tex] 5/7 × 2/3
Step-by-step explanation:
The sidewalk is 5 feet wide and the garden measures 20 feet across. Which measurement is closest to the area of the outer edge of the sidewalk?
A.
200 ft2
B.
400 ft2
C.
700 ft2
D.
1,000 ft2
Answer:
A (obviously)
Step-by-step explanation:
Info Given
Sidewalk is 5 ft. wideGarden is 20 ft. acrossUsing the figure on the left, what is the measure of
LZWY and ZZYW?
Y
N
60° + c + 90° = 180°
60°
C
cº + dº + 90° = 180°
d =
120°60°
60°
DX
w
Answer: first 30 second is 60
Step-by-step explanation:
Answer:
30,60
Step-by-step explanation:
the perimeter of a square field is 880m. Find it's area in hectares
This is the answer hope it helps
The area of the square field is 4840 hectares.
What is perimeter of square?Perimeter of the square is defined as addition the lengths of the square's four sides.
Perimeter of the square equation is 4a
Where, a is length of the square
Given data as :
Perimeter of the square field = 880 m
Side of the square = Perimeter/4
Side of the square = 880/4
Side of the square = 220 m
So, length of each side of the square is 220 m
Area of square = Side × Side
Area of square = 220 m × 220 m
Area of square = 48400 square meters
Area of square = 48.4 square kilometers
As we know that 1 sq km = 100 hectares
So, 48.4 km = 48.4 × 100 = 4840 hectares
Hence, the area of the square field is 4840 hectares.
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The diagram shows the distance a tortoise can walk if it walks at a constant pace for 15 minutes. At the same rate, how many kilometers can the tortoise walk in 1 hour?
Write your answer as a decimal.
Answer:
3,098
Step-by-step explanation:
when you do the ,ath you will get it
10. A new fish tank has a volume of 10x2 + 30x -40 cubic inches. Assuming V =
LWH, determine the expressions of the length, width and height of the fish tank.
9514 1404 393
Answer:
10, (x+4), (x -1)
Step-by-step explanation:
The given volume expression can be factored as ...
V = 10x² +30x -40
= 10(x² +3x -4)
= 10(x +4)(x -1)
The expressions representing length, width, and height might be ...
10, (x+4), (x -1)
An important problem in industry is shipment damage. A electronics distribution company ships its product by truck and determines that it cannot meet its profit expectations if, on average, the number of damaged items per truckload is greater than 12. A random sample of 12 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.64. Select a 99% confidence interval for the true mean of damaged items.
a) [48.26, -30.02]
b) [10.67, 11.93]
c) [-0.6285, 0.6285]
d) [10.69, 11.91]
e) [11.37, 12.63]
f) none of the above
Answer:
the answer is b) (10.67,11.93)
Step-by-step explanation:
hope this helps
y=-9x^2+571x-3884 find x
Answer:
I'm pretty sure it's either 3.1 or 4.1
Step-by-step explanation:
Answer:
x = (571 ± √186217) / 18
x ≈ 7.74840677368558702303.. or 55.69603767075885742140..
x ≈ 7.75 or 55.70
Step-by-step explanation:
y = -9x² + 571x – 3884.
x = (-b ± √b² – 4ac) / 2a
x =
(-(571) ± √((571)² – 4((-9) × (-3884))) / 2(-9)) →
(-571 ± √(326041 – 4(34956))) / -18) →
(-571 ± √(326041 – 139824)) / -18) →
(-571 ± √(186217)) / -18 →
(571 ± √186217) / 18 →
A right-angled triangle, with two sides adjacent to the right angle labeled 7 and 11 respectively, and the hypotenuse is labeled x.
Find the exact value of $x$ .
Answer:
170
c=a^2+b^2=7^2+11^2≈13.0384 or 170
Step-by-step explanation:
mrk me brainliest please
Five times a number is 80 less than 7 times the number. Find the number.
I think its 16 but im not completly sure
how do you change a fraction to a unit rate
Answer:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Step-by-step explanation:
I will give Brainliest
Please help me find the answer
Answer:
in the first traingle
sinC = 36/39 = 12/13
CosC= 15/39 = 5/13
TanA= 15/36=5/12
this is the values i didnt understand the question so i just find the values
in the second Triangle
SinA=2√5/5
CosA=√5/5
TanB= √5/2√5=1/2
cos 30 = √3/2
sin45=√2/2
tan60= √3
hopefully its helpful iam sorry i didnt understand what they mean in the question my engilish is bad
Sin of c. Sin'-1(36/39)=90
Cos of c cos'-1(15/39)=67.38
Tan of a tan'-1(15/36)=22.62
Sin of a sin'-1(2squarroot5/5)=63.43
Cos od a cos'-1(squareroot5/5)=63.43
Tan of b tan'-1(2squareroot5/squareroot5)=63.43
Cos30 is pie/6 or squareroot of 3 /2
Sin of 45 is pie/4 or squareroot2/2
Tan60 is pie/3 or squareroot3
Take a look at the photo and please right an explanation for your answer
Hi, i need to calculate roots x1 and x2 using the vieta theorem, can anyone help me? I have found the answer for x1 and x2, its 1,5 and 2, all i need is a solution on how to get this answer, the equation is in the picture, will give you brainliest if you type down the correct solution for me, thanks.
Answer:
Solution given:
-2x²+7x-6=0
2x²-7x+6=0
Comparing above equation with ax²+bx+c
we get
a=2
b=-7
c=6
By using Vieta's theorem
X1+X2=[tex] \frac{-b}{a} [/tex]=[tex] \frac{7}{2} [/tex]
again
X1X2=[tex] \frac{c}{a} [/tex]=[tex] \frac{6}{2} [/tex]=3
The City of Irvine upgraded a bicycle lane in a section of road to have a physical barrier between the cyclists as opposed to just a painted white line on the road. They now want to do a study to see if the bicycle lane upgrades have encouraged more people to utilize the bike lane. Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25. Test the hypothesis at the 0.05 significance level.
Answer:
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.
Step-by-step explanation:
Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. Test if more people are using now.
At the null hypothesis, we test if the same number of people is still using, that is, the mean is 350. So
[tex]H_0: \mu = 350[/tex]
At the alternate hypothesis, we test if this mean increased, that is:
[tex]H_1: \mu > 350[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
350 is tested at the null hypothesis:
This means that [tex]\mu = 350[/tex]
After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25.
This means that [tex]n = 35, X = 405, s = 25[/tex].
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{405 - 350}{\frac{25}{\sqrt{35}}}[/tex]
[tex]t = 13.02[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 405, which is a right-tailed test with t = 13.02 and 35 - 1 = 34 degrees of freedom.
Using a t-distribution calculator, this probability is of 0.
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.
Pleaseeee helppppp!!
Answer:
60.4
Step-by-step explanation:
90-29.6= 60.4
complimentary means either of two angles whose sum is 90°.
In a survey of 554 U.S. adults, it is found that 360 favor a ban on stem cell research. Set up the null and the alternative hypotheses to test whether there is sufficient evidence that over 61% favor a ban on stem cell research. If alpha is set to 3.0%, should the null hypothesis be rejected
Answer:
The null hypothesis will be rejected
Step-by-step explanation:
The null hypothesis is that people who favour ban on stem cell research is less than or equal to 0.61
The alternate hypothesis is that people who favour ban on stem cell research is greater than 0.61
Proportion of population = 0.61
Total events = 360
Sample size = 554
Sample proportion = 360/554 = 0.649
As per test statistics –
Z = (p-p0)/sqrt {(p0 (1-p0))/n} = (0.649 -0.61)/ {(0.61 (1-0.61))/554}
= 0.039/0.021
= 1.857
P (Z<1.857) = 1- P (Z<1.857) = 1-0.9664 = 0.0336
So alpha value is 0.064.
Thus, we will reject the null hypothesis
When factoring the difference of two squares, what will the signs in the parenthesis be
Answer:
The signs will be + and -
Step-by-step explanation:
Required
The signs in the parenthesis of difference of two squares
Let the expression be:
[tex](x^2 - a^2)[/tex]
Expand
[tex]x^2 - a^2 = x^2 -ax + ax - a^2[/tex]
Factorize
[tex]x^2 - a^2 = x(x -a) + a(x - a)[/tex]
Factor out x - a
[tex]x^2 - a^2 = (x +a)(x - a)[/tex]
See that the sign in front of a is + and - in the parentheses
The Ballantyne area has 200 people over the age of eighty-five living in it of these people, 56 of them have a dog, 24 of them have a cat, and 16 of them have both of a person
is chosen at random, find the probability that they have a cat, if it is known they have a dog.
a. 1/2
b.3/7
c.2/7
d.2/25
The Sine Function
According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
To get a feel for the relationship between the month and the average high temperatures, the data is plotted on the following scatter plot.
If the plot was extended to a two year period with 1 = Jan of the first year, 12 = Dec of the first year, 13 = Jan of the second year, 24 = Dec of the second year, describe the plot with the additional information.
a. Linear
b. Random dots
c. Wave-like and repetitive
d. Quadratic
Please select the best answer from the choices provided
Answer:
C. Wave-like and repetitive
Step-by-step explanation:
I calculated it logically
help me plz god bless
Answer:
d.
Step-by-step explanation:
The gradient is -5 meaning that it's going downwards as x increases
The y-intercept is 3
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Write the expression as a product of expressions.
(Factor this expression.)
`a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}`
PLEASE HELP THIS IS URGENT
Answer:
[tex]a^2(ab^{3}-b^{2}-c^{2})[/tex]
Step-by-step explanation:
Given
[tex]a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}[/tex]
Required
Factor
[tex]a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}[/tex]
Factor out [tex]a^2[/tex]
[tex]a^2(ab^{3}-b^{2}-c^{2})[/tex]
The expression cannot be further factored
Find the slope and the y-intercept of the line. 6x + 3y = -3 Write your answers in simplest form
Answer:
[m] slope = -2
[b] y-intercept = -1 ; (0, -1)
[y = mx + b] slope-intercept = -2x – 1
Step-by-step explanation:
Given the algebraic equation 6x + 3y = -3 currently in standard form:
Ax + By = C →
By = C – Ax →
By = -Ax + C →
y = -Ax / B + C / B →
y = (-A / B)x + (C / B) →
y = mx + b →
m = -A / B. b = C / B.
6x + 3y = -3
↓ ↓ ↓
A = 6. B = 3. C = -3.
[Substitute]
m = -A / B. b = C / B
m = -(6) / (3). b = (-3) / (3)
↓ ↓
m = -2. b = -1.
↓. ↓
Slope = -2. y-intercept = -1.
_______________________
Slope is ∆y/∆x [change in y over the change in x] = y2 – y1 / x2 – x1.
The y-intercept is the point where x is 0.
The easiest way to determine this is to substitute 0 in for x in an equation and solve for y.
This means that the y intercept in coordinate form is (0, b).
Here are some clues about my age. • Both my father’s age and mine are 2-digit numbers. • If you reverse the order of the digits of my father’s age, you get my age. • My father is 27 years older than I am. How old am I? Show your work and justify your thinking.
For the given condition the age of the son will be 69 years.
What is the equation?A mathematical equation asserts the equality of two expressions, which may or may not contain variables or integers. Equations are fundamental concerns, and efforts to rationally address them have served as the primary driving forces behind the creation of mathematics.
Suppose the two-digit number is x,
The father's and son's ages are 10x+y and 10y+x respectively.According to the given condition,
(10x+y) -(10y+x)=27
9x-9y=27
x-y=27/9
x-y=3
The value of x and y will be 4 and 1.
At x=9 and y=6, the age of the son is obtained as,
=10×6+9
=69 years
Thus, the age of the son will be 69 years.
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Find the surface area of the composite figure.
6 cm
5 cm
4 cm
6 cm
15 cm
3 cm
The surface area of the given composite figure will be 384 square cm.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
In the given image we have a composite figure one is a rectangular cuboid and the other is a triangular prism. The surface area will be equal to the sum of all the outer sides of the figure.
The surface area of the triangular shape will be calculated as:-
SA = 2( Area of triangle ) + Area of rectangular surfaces
SA = 2 ( (1/2) B x H ) + (5 x 6 ) + ( 6 x 3 )
SA = ( 3 x 4 ) + ( 30 ) + ( 18 )
SA = 12 + 30 + 18
SA = 60 square cm
The surface area of the rectangular cuboid will be calculated as:-
SA = ( 4 x 6 ) + 2 ( 158 x 4 ) + 2 ( 15 X 6 )
SA = 24 + 120 + 180
SA = 324 square cm
Total surface area will be = 324 + 60 = 384 square cm.
Therefore the surface area of the given composite figure will be 384 square cm.
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