Answers
Answer:
f(x) = 5x² + 3
Step-by-step explanation:
Exponential Function: [tex]a(b)^x+c[/tex]
Logarithmic Function: [tex]alog_bx+c[/tex]
5x² + 3 is a quadratic function. Therefore, it is not an exponential or logarithmic function and is incorrect.
log₅x is a logarithmic function. Therefore, it is correct.
5log₃x + 3 is a logarithmic function. Therefore, it is correct.
5ˣ + 3 is an exponential function. Therefore it is correct.
Related Questions
the function f(x)=-(x5+)(x+1) is shown. what is the range of the function
Answers
Answer:
all real numbers less than or equals to 4
Matthew has 170 tiles he can use for this project. Identify the largest patio design that he can make. Show or explain your reasoning.
Answers
Answer:
Design 12Step-by-step explanation:
See the attached for missing part of the questionAs we see each design comprises of entrance and exit - each one tile and:
Design 1 has 1 row and 3 columns,Design 2 has 2 rows and 4 columns,Design 3 has 3 rows and 5 columns.So design x has x rows and two more columns according the pattern we observe.
The number of tiles of design x is:
x by (x + 2) and 2 more tilesWe can put it as equation to get 170 tiles and solve for x:
x(x+2) + 2 = 170x² + 2x - 168 = 0x² - 12x + 14x - 168 = 0x(x - 12) + 14(x - 12) = 0(x + 14)(x - 12) = 0x = - 14 (discarded as negative root)x = 12 (the solution)So this is a design 12
It has 12 rows, 14 columns, 1 entrance and 1 exit tiles, the total number is
12*14 + 2 = 170 tilesWhat is the product? Two-thirds times eight-ninths
10/27
16/27
Two-thirds
Five-sixths
Answers
Answer:
16/27
[tex]\frac{2}{3}[/tex] × [tex]\frac{8}{9}[/tex] = [tex]\frac{16}{27}[/tex]
Solve 2(x - 5) = 48 - 4(x + 1)
Answers
2x - 10 = 48 - 4x - 4
6x = 54
x = 9
Answer:
x = 9
Step-by-step explanation:
first remove the brackets
2x - 5 = 48 - 4x + 1
then take numbers to the opposite sides
2x + 4x = 48 + 5 + 1
I have used addition because since your taking-5 to the other side it becomes+5 and -4 becomes +4
now solve
2x + 4x= 6x
48+5+1= 54
6x = 54
now solve for x
divide both sides by 6x
x = 9
In a recent Super Bowl, a TV network predicted that 53 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 79 people who saw the commercials and found that 41 of them said they would watch one of the television shows.Suppose you have the following null and alternative hypotheses for a test you are running:H0:p=0.53H0:p=0.53Ha:p≠0.53Ha:p≠0.53Calculate the test statistic, rounded to 3 decimal places
Answers
======================================================
Explanation:
We're conducting a one proportion Z test.
The hypothesized population proportion is p = 0.53, which is not to be confused with the p-value (unfortunately statistics textbooks seem to overuse the letter 'p'). Luckily this problem is not asking for the p-value.
The sample population proportion is
phat = x/n = 41/79 = 0.518987 approximately
The standard error (SE) is
SE = sqrt(p*(1-p)/n)
SE = sqrt(0.53*(1-0.53)/79)
SE = 0.056153 approximately
Making the test statistic to be
z = (phat - p)/(SE)
z = (0.518987 - 0.53)/0.056153
z = -0.19612487311452
z = -0.196
Which is approximate and rounded to 3 decimal places.
Which transformation can be used to map one triangle onto the other select two options
Answers
Answer:
Reflection only and rotation then translation.
Step-by-step explanation:
im not sure
Answer:
look at the picture below
Step-by-step explanation:
Clarissa and Shawna, working together, can paint the exterior of a house in 6 days. Clarissa by herself can complete this in 5 days less than Shawna. how long will it take Clarissa to complete the job by herself?
Answers
Answer:
Clarissa will take 10 hours by herself
Step-by-step explanation:
Let s = time for shawna
s-5 = time for clarissa
The formula for determining the time is
1/a + 1/b = 1/c where a and b are the times alone and c is the time together
1/s + 1/(s-5) = 1/6
Multiply each side by 6s(s-5) to clear the fractions
6s(s-5) ( 1/s + 1/(s-5)) = 1/6 *6s(s-5)
Distribute
6(s-5) + 6s = s(s-5)
Distribute
6s -30 +6s = s^2 -5s
Combine like terms
12s -30 = s^2 -5s
Move everything to the right
0 = s^2 -5s -12s +30
0 = s^2 -17s +30
Factor
0 = ( s-15) (s-2)
Using the zero product property
s-15 =0 s-2 =0
s =15 s=2 ( This is not a reasonable answer since it is less than the time together)
s=15
s-5 = 10
Clarissa will take 10 hours by herself
A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. A deer is 10 miles per hour faster than a bison.
Answers
3520/5280 = 2/3 of a mile per minute.
2/3 x 60 minutes per hour = 40 miles per hour.
40-30 = 10
Bison runs 40 miles per hour
The bison runs 10 miles an hour faster than the deer
Answer:
American bison is faster than the white-tailed deer by 10 more miles per hour.
Step-by-step explanation:
In 1 hour there are 60 minutes.
=> 3520 feet = 1 minute
=> 60 minutes = 3520 x 60
=> 211200 feet = 60 minutes
So, 211200 feet can be converted in miles.
=> 1 mile = 5280 feet
=> 211200 feet = x miles
=> x = 211200 / 5280
=> x = 40 miles per hour.
So, a white-tailed deer can run up to 30 miles per hour.
an American bison can run up to 40 miles per hour.
American bison runs 10 more miles per hour than a white-tailed deer.
In triangle ABC, ∠A is a right angle and m∠B = 45°. Find BC. If your answer is not an integer, leave it in the simplest radical form. The question is multiple choice and the choices are below. A. 20[tex]\sqrt{2}[/tex] ft B. 10 ft C. 20 ft D. 10 [tex]\sqrt{2}[/tex] ft
Answers
Answer: D [tex]10\sqrt{2}[/tex]
Step-by-step explanation:
It says that the measure of angle B is 45 degrees. So if we were to put in 45 degrees we could see that is is opposite AC and BC which we needs to find is the hypotenuse. So since we know the opposite of angle B is 10 ft we can using that to find the length of BC. Opposite hypotenuse is the sine function so we will use it to calculate the length of BC.
sin(45) = [tex]\frac{10}{BC}[/tex] multiply both sides by BC
BC sin(45) = 10 divide both sides by sin(45)
BC = [tex]\frac{10}{sin(45)}[/tex]
BC = [tex]10\sqrt{2}[/tex]
Answer:
[tex]\huge\boxed{Option\ D : \ BC = 10\sqrt{2}\ ft }[/tex]
Step-by-step explanation:
Since it's a right angled triangle, We'll use trigonometric rations.
Given that m∠B = 45°
So,
Sin B = opposite / hypotenuse
Where m∠B = 45°, opposite = 10 ft and hypotenuse = BC
Sin 45 = 10 / BC
[tex]\sf \frac{\sqrt{2} }{2} = \frac{10}{BC}[/tex]
BC = 20 / √2
Multiplying and Dividing by √2
BC = 20√2 / √(2)²
BC = 20 √2 / 2
BC = 10√2 ft
10.The sum of first 16 terms of the AP: 10, 6 ,2, ....is
− 320− 320
320320
640640
− 352 − 352
Answers
Answer:
- 320Step-by-step explanation:
a₁ = 10
a₂ = 6
d = a₂ - a₁ = 6 - 10 = -4
n = 16
a₁₆ = a₁ + (n-1)•d = 10 + (16-1)•(-4) = 10 - 60 = -50
[tex]S_{n}=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{16}=\dfrac{10-50}{2}\cdot 16=-40\cdot8=-320[/tex]
also being timed help!
Answers
Answer: 4
Step-by-step explanation:
Please Help Me With This I Will Mark Brainliest If You Are Correct!!!!!!!!!!! Determine the intervals on which the function is increasing, decreasing, and constant. A coordinate axis is drawn with a parabola pointing up that has vertex of 0,3. A). Increasing x 0 B). Increasing x > 0; Decreasing x 3 D). Increasing x > 3; Decreasing x < 3
Answers
Answer:
Increasing x> 3
Decreasing x< 3
Step-by-step explanation:
If you imagine drawing a tangent line (a line which touches a curve or shape at one point) at some point on the graph, you can see if a curve is increasing or decreasing at that point; and on the whole interval.
Doing this I find that the curve is decreasing on x< 3 and increases on x> 3
Write an expression for 267 multiplied by x
Answers
Answer:
267x
Step-by-step explanation:
Multiplication means times
267 * x
267x
Answer:
267x
when you multiply a number by a variable, you can combine the terms if there is no coefficient for the variable.
answer it answer it answer it
Answers
Answer:
22.5
Step-by-step explanation:
cause
Answer:
It is 22.5
Step-by-step explanation:
add up all they shaded parts:
22.5 x 4 = 90 degrees
as each unshaded part is three times more then you do 22.5 x 3 for one part
22.5 x 3 = 67.5 degrees
then times by four because there is four unshaded sections.
67.5 x 4 = 270 degrees
270 + 90 = 360 degrees and there is 360 degrees in a circle so 22.5 degrees is the correct answer.
Point P' (1, 5) is the image of P (-3,1) under a translation. Determine the translation. Use non-negative numbers.
Answers
Answer:
T: 4 units right, 4 units up
Step-by-step explanation:
From x = -3 to x = 1, you need to add 4 to x, so the translation in x is 4 units right.
From y = 1 to y = 5, you need to add 4, so the translation in y is 4 units up.
T: 4 units right, 4 units up
The translation vector is (4, 4).
Vectorially speaking, a translation between two distinct point on cartesian plane is described by the following formula:
[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.[tex]P'(x,y)[/tex] - Translated point.[tex]T(x,y)[/tex] - Translation vector.If we know that [tex]P(x,y) = (-3, 1)[/tex] and [tex]P'(x,y) = (1,5)[/tex], then the translation vector is:
[tex]T(x,y) = P'(x,y) - P(x,y)[/tex]
[tex]T(x,y) = (1,5) - (-3, 1)[/tex]
[tex]T(x,y) = (4,4)[/tex]
The translation vector is (4, 4).
We kindly invite to check this question on translations: https://brainly.com/question/17485121
27
What is the value of the expression
-x(y - 3)2 for x = -2, y = 6 ?
HELP! answer if you can plz and thank you..
Answers
Answer:
12
Step-by-step explanation:
Substitute the given numbers for the variables.
-(-2)(6-3)2
2(3)2
12
It takes 250 \text{ g}250 g250, start text, space, g, end text of pasta and 240 \text{ ml}240 ml 240, start text, space, m, l, end text of sauce to make one batch of spaghetti, and it takes 600 \text{ g}600 g600, start text, space, g, end text of pasta and 700 \text{ ml}700 ml 700, start text, space, m, l, end text of sauce to make one batch of lasagna.
Answers
Answer:
250S + 600L > 4000
240S + 700L > 5000
Step-by-step explanation:
It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti, and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.
Friedrich is a chef who wants to make spaghetti and lasagna using more than 4000 g of pasta and more than 5000 ml of sauce.
Let S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
Write an inequality that represents the condition based on the number of grams of pasta.
Write an inequality that represents the condition based on the number of milliliters of sauce.
Scenario 1: Pasta
The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.
S =the number of batches of spaghetti he makes
L =the number of batches of lasagna he makes.
We have, inequality based on the number of grams of pasta
250S + 600L > 4000
Scenario 2: Sauce
chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.
S= the number of batches of spaghetti he makes
L= the number of batches of lasagna he makes.
We have, inequality based on the number of milliliters of sauce
240S + 700L > 5000
The two inequalities are:
250S + 600L > 4000
240S + 700L > 5000
How can I fin the remainder to 8,595 ÷ 24?
Answers
Answer:
358 and remainder of 3
Step-by-step explanation:
1. Divide it like any other problem
24 goes into 85, 3 times with 13 left overBring down the 9 and 24 goes into 139, 5 times with 19 left overThen bring down the 5 and 24 goes inside 195, 8 times with 3 left overSo your remainder would be 3
Hope this helps
PLZ HELP I WILL MARK YOU AS BRAINLIEST
The ages of two groups of karate students are shown in the following dot plots: The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data? Group A has greater variability in the data. Group A has less variability in the data. Group B has a lower range. Group B has a lower mean.
Answers
Answer:
Group A has less variability in the data.
Step-by-step explanation:
Examining the data for both groups virtually as represented on the dot plot, we can easily tell that the data in group A are less spread compared to group B data.
Group A has a range value of 10 (14 - 4), while group B has a range value of 19 (26 - 7).
Therefore, "Group A has less variability in the data."
Choose the best definition for the following phrase: combining like terms (1 point)
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts
Answers
Answer:
D. Terms that have identical variable parts
Step-by-step explanation:
Like terms refers to terms that have identical variable parts.
For example:
Given the expression
2xy + z + x + 3y - 5z + 4y - xy + 3x
The like terms in the expression are:
2xy - xy= xy
z - 5z= -4z
x + 3x= 4x
3y + 4y=7y
The new expression will be
xy - 4z + 4x + 7y
ABC is an eqilateral triangle with sides 10cm find the length of the prependicular from A to BC
Answers
All sides are equal in an equilateral triangle and the perpendicular bisects the side too.
so BC will be bisected and the segments be 5 each.
you can use Pythagoras theorem to find the altitude length, hypotenuse will be one side of the triangle.
[tex] 5^2+h^2=10^2[/tex]
$h^2=100-25=75$
$h=\sqrt{75}=5\sqrt3$
PLEASE HELP ASAP!! (: One link below. I WILL NAME BRAINLIEST!! 30 points (: Make sure to show ur work. One who shows work and gets correct, gets title of Brainliest!! (:
Answers
Answer:
1) 502.65"
2) 367.57 yd
3) 141.37'
4) 471.24'
Step-by-step explanation:
Formula: volume of a cylinder = πr²h
1) v= πr²h 2) v= πr²h
v= π x 4² x 10 v= π x 3² x 13
v= 502.65" v= 367.57 yd
3) v= πr²h 4) v= πr²h
v= π x 3² x 5 v= π x 5² x 6
v= 141.37' v= 471.24'
I hope this helped
Answer:
1. 502.5 [tex]in^{3}[/tex]
2. 367.38 [tex]yd^{3}[/tex]
3. 141.3 [tex]cm^{3}[/tex]
4. 471 [tex]cm^{3}[/tex]
Step-by-step explanation:
The solution to finding the volume of a cylinder is: [tex]\pi r^{2} h[/tex].
They give us a diameter but no radius. So, we just need to divide the diameter, 8, by two. That leaves us with a radius of 4.
We can also see that the height of the first cylinder is 10. That gives us all our information to find the volume!
3.14 · [tex]4^{2}[/tex] · 10 = 502.5
So, the volume of the first cylinder is 502.5[tex]in^{3}[/tex]
This, hopefully explains how to find the volume of the rest of the cylinders!! :)
Hope this helps!! <3
I beed help nowww hjbiuhkju uhbjknjhiuy
Answers
Answer:
answer hoga 3/2 ok.....
Answer: 3/2
Step-by-step explanation:
BRAINLIEST!!! Plz help ASAP
M(5, 7) is the midpoint of side RS.The coordinates of S are (6, 9). What are the coordinates of R?Please answer with full explanation and no non sense answers will reports. Will give brainiest to those who answered correctly with full explanation. Thank you.
Answers
Answer: R = (4, 5)
Step-by-step explanation: Midpoint is simply the center of a line. So, the equation for it is ((x1+x2)/2, (y1+y2)/2). Hence for this,
x coordinate- (6+x)/2=5
x=4
y coordinates- (9+y)/2=7
y=5
And therefore R is (4, 5)
Talia spent \dfrac34 4 3 start fraction, 3, divided by, 4, end fraction of this week's allowance on candy. Of the money she spent on candy, \dfrac56 6 5 start fraction, 5, divided by, 6, end fraction was spent on gummy bears.
Answers
Answer:
15/24
Step-by-step explanation:
Talia spent 3/4 of this week's allowance on candy. Of the money she spent on candy, 5/6 was spent on gummy bears.
What fraction of this week's allowance did Talia spend on gummy bears?
Answer: Let this weeks allowance be x. Talia spent 3/4 of the weeks allowance on candy, therefore the money spent on candy = (3/4)x.
Out of the money spent on candy, 5/6 was spent on gummy bears. Therefore the money spent on gummy bears = 5/6 × (3/4)x = (15/24)x.
This means that the fraction of money spent on gummy bears was 15/24 of the weeks allowance.
-2(8 - 1)= find the product
Answers
Answer:
-14
Step-by-step explanation:
First, solve what is in the parentheses:
8-1=7
Now you have -2(7)
-2(7)=
-14
The product is -14!
Answer:
-14
Step-by-step explanation:
-2(8-1)
= -2*8 -2*-1
= -16 + 2
= -14
another solutión is:
-2(8-1)
= -2*7
= -14
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system. FYI it’s not b
Answers
Answer:
c.
Step-by-step explanation:
From the last row in the matrix z = 1.
From the second row:
y + 5z = -4
y = -4 -5(1) = -9.
From the first row:
x + -1 = -3
x = - 3 + 1
x = -2.
36. What is the solution to x+3 = -6?
HELP! answer if you can!
Answers
Answer:
x = -9
Step-by-step explanation:
subtract 3 from both sides
x = -9
Answer:
x = -9
Step-by-step explanation:
x + 3 = -6
Subtract 3 from both sides.
x + 3 - 3 = -6 - 3
x = -9
PLEASE help!!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.
Answers
Answer:
Step-by-step explanation:
The shaded regions consist of a triangle and a semicircle
Area of shaded regions = Area of Triangle + Area of semicircle
Area of Triangle = (h x b) ÷ 2
Height, h = 10 cm
Base, b = 8 cm
Are of the triangle component = (10 x 8) ÷ 2
= 80 ÷ 2
= 40 cm^2
Area of semicircle = πr^2 ÷ 2
Diameter, D = 8 cm
Radius, r = 8 cm ÷ 2 = 4 cm
Are of the semicircle component = [π(4^2) ÷ 2)
= 16π ÷ 2
= 16π cm^2
Total area of shaded regions
= (40+16π) cm^2
= 8 (5 +2π) cm^2
Answer:
[tex]\boxed{\sf Area = 8\pi + 40\ cm^2}[/tex]
[tex]\boxed{\sf Perimeter = 4\pi + 22\ cm}[/tex]
Step-by-step explanation:
Area of the figure:
Firstly: Area of semicircle:
[tex]\sf \frac{\pi r^2}{2} \\Where\ r = 4 \ cm\\\frac{\pi (4)^2}{2} \\\frac{16 \pi}{2}\\8 \pi \ cm^2[/tex]
Then Area of Triangle
[tex]\sf 1/2 (Base)(Height)\\1/2(10)(4)\\10*2\\20\ cm^2[/tex]
Area of Figure = Area of Semicircle + 2(Area of triangle)
=> 8π + 2(20)
=> 8π + 40 cm²
Perimeter of Semicircle:
Firstly, we'll have to find the hypotenuse
[tex]\sf c^2 = a^2+b^2\\c^2 = 4^2+10^2\\c^2 = 16+100\\c^2 = 116\\c = 11\ cm[/tex]
Then, Perimeter of the semi-circle:
=> πr
Where r = 4 cm
=> 4π
Now, the perimeter of the whole figure:
=> 4π + 2(11)
=> 4π + 22 cm
solve for x 3(x+2) + 4(x-5)=10
Answers
Answer:
x= 3.43
Step-by-step explanation:
First, use the distributive property and multiply 3 by x and 3 by 2:
3x + 6
next use the distributive property again and multiply 4 by x and -5:
4x - 20
Combine Like terms: 3x + 6 + 4x - 20
3x + 4x = 7x
6 - 20 = -14
Now Add 14 to both sides: 7x - 14 = 10
10 + 14 = 24
Now divide 7 by both sides: 7x = 24
24 / 7 = 3.428571429 = 3.43
Answer:
x=24/7 or 3 3/7
Step-by-step explanation:
3(x+2) + 4(x-5)=10 parenthesis first
3x+6+4x-20=10
7x-14=10 addition on both sides
7x-14+14=10+14
7x=24
x=24/7
check the answer:
3(x+2) + 4(x-5)=10
3(24/7+2)+4(24/7-5)=10
72/7+6+96/7-20=10
168/7-14=10
24-14=10
10=10 correct
