Answer:
1. x + 34
2. 2x - 12
3. x - 16
4. x + 45
5. 23 - x
6. 6(x - 7)
7. 78 - 4x
8. 4x + 10
9. 3x + 2
10. x(13 - x)
Step-by-step explanation:
For problems like this in the future, pay attention to the order of words, and how they go together! For example- "the difference of 23 and a number" means to subtract a number from 23, whereas "the difference of a number and 23" would mean to subtract 23 from the number. Words like "increase" and "sum" both mean addition; "product" and "times" both mean multiplication; "difference" and "less" mean subtraction. Just keep these in mind (and watch for context)!
I hope this helped! :)
Find the range for the measure of the third side of a triangle given the measures of two sides. 5 m, 11 m, ?
a. 16 < x < 6
b. 3 < x < 7
c. 5 < x < 11
d. 6 < x < 16
Answer:
d
Step-by-step explanation:
the length of the third side should be less than the sum of other two sides, that is 5+ 11 = 16 and it should be greater than the 5
6 < x < 16
The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a standard deviation of 7.8 cm. a. Find the probability that an individual distance is greater than 218.00 cm. b. Find the probability that the mean for 25 randomly selected distances is greater than 204.20 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a.
Using the normal distribution, we have that:
a) There is a 0.0548 = 5.48% probability that an individual distance is greater than 218.00 cm.
b) There is a 0.7967 = 79.67% probability that the mean for 25 randomly selected distances is greater than 204.20 cm.
c) Since the underlying distribution is normal, the central limit theorem can be applied.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], as long as the underlying distribution is normal or the sample size is greater than 30.For this problem, the parameters are:
[tex]\mu = 205.5, \sigma = 7.8, n = 25, s = \frac{7.8}{\sqrt{25}} = 1.56[/tex]
Item a:
The probability is one subtracted by the p-value of Z when X = 218, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{218 - 205.5}{7.8}[/tex]
Z = 1.6
Z = 1.6 has a p-value of 0.9452.
1 - 0.9452 = 0.0548.
There is a 0.0548 = 5.48% probability that an individual distance is greater than 218.00 cm.
Items b and c:
Since the underlying distribution is normal, the central limit theorem can be applied, hence the probability is one subtracted by the p-value of Z when X = 204.2.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{204.2 - 205.5}{1.56}[/tex]
Z = -0.83
Z = -0.83 has a p-value of 0.2033.
1 - 0.2033 = 0.7967.
There is a 0.7967 = 79.67% probability that the mean for 25 randomly selected distances is greater than 204.20 cm.
More can be learned about the normal distribution at https://brainly.com/question/4079902
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Write the equation of the line through the given points :
I need help please
Answer:
[tex]y=-3x+5[/tex]
Step-by-step explanation:
The equation for slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can substitute the given coordinates into the equation:
[tex]Slope=\frac{3-0}{\frac{2}{3}-\frac{5}{3}}=\frac{3}{\frac{2-5}{3}}=\frac{3}{\frac{-3}{3}}=\frac{3}{-1}=-3[/tex]
The slope is -3
The equation for a line is:
[tex]y=mx+b[/tex]
m: slope
b: y-intercept
x, y: (x, y) coordinate pair
Now, plug in the slope and one of the (x, y) coordinate pairs to solve for the y-intercept.
[tex]y=mx+b\\y=-3x+b\\0=-3(\frac{5}{3})+b\\0=\frac{-15}{3}+b\\0=-5+b\\$Add 5 to both sides\\b=5[/tex]
Therefore the equation is:
[tex]y=-3x+5[/tex]
what is the perimeter
Solution:
Perimeter is the sum of the figure's sides.
Note that:
10 + 10 + 4 + 10 + 4 + 10 + 10 + 30 = Perimeter of figureSimplify the expression:
5(10) + 2(4) + 30 = Perimeter of figure=> 50 + 8 + 30 = Perimeter of figure=> 88 cm = Perimeter of figureI have attached the labelled diagram, Let's find the perimeter now..
Perimeter = Sum of all sidesLength of all sides:
10 cm10 cm10 cm10 cm10 cm4 cm4 cm30 cmNow, Let's add these values
[tex] \sf: \implies \: 10 + 10 + 10 + 10 + 10 + 4 + 4 + 30[/tex]
[tex] \sf: \implies \: 50+ 4 + 4 + 30[/tex]
[tex] \sf: \implies \: 50+ 8+ 30[/tex]
[tex] \sf: \implies \: 58+ 30[/tex]
[tex] \boxed{ \tt: \multimap \: 88}[/tex]
Thus, The perimeter of the given figure is 88 cm...~
What new ideas about mathematics did you learn?
Answer:
I learned how to multiply
Step-by-step explanation:
8×8=64
8 times the number you are multiplying
like this look
IIIIIIII there are Eight sticks each one has a value of 8
so you go 8,16,24,32,40,48,56,64. more
Jason sees a tall building from across town. He
turns 90° and walks 100 yards. Jason then turns to
face the building, and the angle between his line
of sight and his path is 35º as shown below. Which
of the following is the closest to the distance from
Jason's original position to the building, in yards?
Answer:
Jason's original position is 70.02 yards, or 70 yards
Step-by-step explanation:
These types of questions are understood better when drawn out.
What is the equation of the line that passes through the point (-7,8) and has a slope of -1?
NO LINKS!!! Part 2: Complete the sequence
Answer:
40, 80t(n) = 5×2^(n-1)see attachedStep-by-step explanation:
The sort of sequence it is can be determined by looking at the differences of n-values and the differences of t(n)-values. When the n-value differences are constant, the nature of the relation between the t(n)-values can tell you the kind of sequence.
a)Here, the n-values all differ by 1. The t(n)-value differences double with each increase in n. That is, they are 5 and 10. We notice also that the t(n) values double with each increase in n. We can fill the rest of the table using that relationship:
t(n) = t(n-1) × 2 . . . . . each term is double the previous term
t(4) = t(3) × 2 = 20 × 2 = 40
t(5) = t(4) × 2 = 40 × 2 = 80
When the terms of the sequence have a common ratio, the sequence is geometric, and the function describing the sequence is an exponential function.
__
b)The general term of a geometric sequence is ...
t(n) = t(1) × r^(n-1)
The table tells us the first term is ...
t(1) = 5
And our observation above tells us the common ratio is r = 10/5 = 2. Then the equation of the sequence is ...
t(n) = 5 × 2^(n-1)
__
c)See the attachment for a graph.
Answer:
a) (4, 40) and (5, 80)
b) [tex]t(n)=2.5 \cdot2^n[/tex]
c) see attached
Step-by-step explanation:
As the value of t(n) doubles each time, we can conclude that this is an exponential function.
Therefore, the missing ordered pairs are (4, 40) and (5, 80)
General form of an exponential function: [tex]y=ab^x[/tex]
where:
[tex]a[/tex] is the y-intercept (or initial value)[tex]b[/tex] is the base (or growth factor)[tex]x[/tex] is the independent variableIf [tex]b > 1[/tex] then it is an increasing function
If [tex]0 < b < 1[/tex] then it is a decreasing function
Given:
(2, 10)(3, 20)Substitute these ordered pairs into the general form of the exponential function:
Equation 1: [tex]ab^2=10[/tex]
Equation 2: [tex]ab^3=20[/tex]
Divide Equation 2 by Equation 1 to find [tex]b[/tex]:
[tex]\implies \dfrac{ab^3}{ab^2}=\dfrac{20}{10}[/tex]
[tex]\implies b=2[/tex]
Now substitute the found value of [tex]b[/tex] into one of the equations and solve for [tex]a[/tex]:
[tex]\implies ab^2=10[/tex]
[tex]\implies a\cdot 2^2=10[/tex]
[tex]\implies a=\dfrac{10}{4}[/tex]
[tex]\implies a=2.5[/tex]
So the final exponential equation is: [tex]t(n)=2.5 \cdot2^n[/tex]
Graphing
Plot the points from the table
To find the y-intercept:
Substitute [tex]n = 0[/tex] into the equation:
[tex]\implies t(0)=2.5 \cdot2^0[/tex]
[tex]\implies t(0)=2.5[/tex]
Therefore, the y-intercept is at (0, 2.5)
Asymptote: [tex]t(n) = 0[/tex]
What is the header for this page? A) Algebra 1, B) Linear Functions, C) The slope, D) Ordered Pairs. Will Mark Brainliest if answered correctly .
What is the header for this page?
The slopeHeader means the text written at the top of the page. The word written at the top of our page is The slope. Hence, it is the header for the page...~
Which term describes this material. A) caption, B) header, C) glossary, D) objective Will Mark Brainliest if answered correctly.
Answer:
C) glossary
Step-by-step explanation:
It is the one given in the picture.
Please help me! A dealership recently sold a 4-door sedan, which it purchased for $18,000, at 15% markup. It accepted a trade-in for it, and it paid $5000 for the trade. Next, it marked the trade-in up 25% and sold it in a week. What was the dealership's profit on these two vehicles?
Step-by-step explanation:
The answer is 3950 $
First we will calculate the two profits the dealership earned.
1. Profit on purchase.
18000 x 15% = 18000 x 0.15
=2700 $
2. Profit on Sale:
5000 x 25% = 5000 x 0.25
= 1250$
3. Adding both profits:
Total profit = 2700 + 1250 = 3950 $
I need help on this one question! Can anyone help me?
15 burritos in five minutes how many burritos can be made in one hour
Answer:
180 burritos
Step-by-step explanation:
15 burritos = 5 mins
x burritos = 60 mins
cross multiply
5x = 60 ×15
5x = 900
x = 900/5
therefore x = 180 burritos
Determine if true:
3^5x2=64
Answer:
False
Step-by-step explanation:
3^5=234
234x2=486
486=64
The numbers dont match.
Hence, the equation is false
Answer:
Not true
Step-by-step explanation:
= 3⁵ x 2
= 3 x 3 x 3 x 3 x 3 x 2
= 9 x 9 x 6
= 81 x 6
= 486
486 ≠ 64
Not true
please answer this question
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Here, we will use the concept of integration and algebric identities
Integration is the process of finding function that is a derivate of given function Three important trigonometric identities :-[tex]\sf{ sin^{2}{\theta}+ cos^{2}{\theta} = 1 }[/tex][tex]\sf{ 1 + tan^{2}{\theta} = sec^{2}{\theta} }[/tex][tex]\sf{ 1 + cot^{2}{\theta} = cosec^{2}{\theta} }[/tex]Let's Begin :-We have,
[tex]\bold{\displaystyle\int}{\bold{\dfrac{ cos^{2}x}{1 + sinx}}}{\bold{dx}}[/tex]
By using trigonometric identity,
[tex]\sf{ sin^{2}{\theta}+ cos^{2}{\theta} = 1 }[/tex][tex]\sf{\displaystyle\int}{\sf{\dfrac{ 1 -sin^{2}x }{1 + sinx}}}{\sf{dx}}[/tex]
By using algebraic identity :-
[tex]\sf{ a^{2} - b^{2} = ( a + b) (a - b) }[/tex][tex]\sf{\displaystyle\int}{\sf{\dfrac{ (1 + sinx) (1 - sinx) }{1 + sinx}}}{\sf{dx}}[/tex]
[tex]\sf{\displaystyle\int}{\sf{( 1 - Sinx)dx}}[/tex]
[tex]\sf{ {\displaystyle\int} dx - {\displaystyle\int}sinxdx}[/tex]
We know that,
[tex]\sf{{\int\displaystyle}sin{\theta} d{\theta} = - cos {\theta} + C }[/tex][tex]\sf{ x - (-cosx) + c}[/tex]
[tex]\bold{ x + cosx + c}[/tex]
Hence, The answer is x + Cosx + c.
We are given with an integral and need to solve the integral , so let's start ;
[tex]{:\implies \quad \displaystyle \int \sf \dfrac{\cos^{2}(x)}{1+\sin (x)}dx}[/tex]
As we know that sin²(x) + cos²(x) = 1 , using this
[tex]{:\implies \quad \displaystyle \int \sf \dfrac{1-\sin^{2}(x)}{1+\sin (x)}dx}[/tex]
Can be further written as
[tex]{:\implies \quad \displaystyle \int \sf \dfrac{1^{2}-\sin^{2}(x)}{1+\sin (x)}dx}[/tex]
[tex]{:\implies \quad \displaystyle \int \sf \dfrac{\cancel{\{1+\sin (x)\}}\{1-\sin (x)\}}{\cancel{\{1+\sin (x)\}}}dx\quad \qquad \{\because a^{2}-b^{2}=(a+b)(a-b)\}}[/tex]
[tex]{:\implies \quad \displaystyle \int \sf \{1-\sin (x)\}dx}[/tex]
Now , as integrals follow distributive property , so ;
[tex]{:\implies \quad \displaystyle \int \sf 1\: dx-\int \sin (x)dx}[/tex]
Now , as antiderivative (Integration) of sin(x) is -cos(x) + C and that of dx is x + C So ;
[tex]{:\implies \quad \displaystyle \bf \therefore \underline{\underline{\int \bf \dfrac{\cos^{2}(x)}{1+\sin (x)}=x+\cos (x)+C}}}[/tex]
This is the Required answer
Which of these is an equation?
F
6 + x + 24
G 6 + x = 24
U I
H
6 + X - 24
J
6 + X
Answer:
the answer is 6+x=24
Step-by-step explanation:
awesome
Answer:
6 + x = 24
Step-by-step explanation:
This is an equation because it has an EQUAL SIGN "=". an expression with an equal sign makes an equation.
It's in the name "EQUATION" (EQUAL)
A representation " = "
The median weight of 15 dogs in a pet store is 12 pounds.
Which action could change the median?
The addition of the new dog will change the median. The correct answers may be A and D.
What is the median?The Median is the middlemost value of the numbers arranged in ascending order. If the number of the data is an odd number so the median will be a middle number if the number of the data is even then the median is the mean of the middle two numbers.
In light of the fact that the average weight of 15 dogs in a pet shop is 12 pounds. The median will shift as a result of the new dog. The right responses could be A and D.
To know more about the median follow
https://brainly.com/question/26151333
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If an object is shot upward with an initial velocity, vo, in feet per second (ft/s), the velocity, v, in ft/s is given by the formula v = vo - 32t where t is time in seconds. Find
the initial velocity of an object if the velocity after 3 seconds is 44 ft/s
Answer:
3s
Step-by-step explanation:
the answer is 3 seconds
There are 7 times as many males as females on the maths course at university. What fraction of the course are female?
Give your answer in its simplest form.
Answer:
1/8
Step-by-step explanation:
Suppose there are 7 males so there will be 1 female according to the question.
So there is 1 female out of a total of 8 students. So the answer is 1/8.
Because the female is 1 out of the 8 people.
What matches with the number line?
The larger the negative number gets, the farther from zero it becomes. -9.8 is closer to zero- therefore "larger" than -11.3.
Have a nice day/night :)
~pinetree
plss answer for my friend
Th
This is the Answer really
today at basketball practice the team worked on three skills. they ran for 22 minutes, they did passing drills for 35 minutes. they practiced shooting free throws for 27 minutes. tomorrow the coach wants the team to spend an equal amount of time on each drill. if the team spends the same total number of minutes on these 3 drills as today, how many minutes will the team spend on each drill
Answer:
28
Step-by-step explanation:
So first you need to add up the time they played yesterday which means add up the times for each drill(22+35+27) which equals 84. Now you need to divide 84 by 3 because there are 3 drills(84÷3) which equals 28 and you will get your answer
22 + 35 + 27 = 84 ÷ 3 = 28
Hope this helps
Please mark brainliest.
The volume of the rectangular prism is 35/15yd. Determine the missing measurement using a one step equation
Area=4/5yd
Height= ?
Answer:
let x yd be the height of the rectangular prism.
4/5x = 35/15
x= 2 11/12 yd
Step-by-step explanation:
since the formula for the volume of cuboids is base area times height, we can use that equation to find out! :D
Impuesto de venta Un agente de ventas necesita calcular el
costo de un artículo cuyo impuesto de venta de 8.25%. Escriba
una ecuación que represente el costo total c de un artículo que
cuesta x dólares.
Answer:
costo total = c
costo del artículo = x
impuesto = 8,25 % = 0,0825 {cambiar el porcentaje a decimal moviendo el punto decimal dos a la izquierda}
Para encontrar impuestos:
- multiplique el costo del artículo por el porcentaje de impuestos (como decimal)
= .0825x
Para encontrar el costo total:
- agregue el costo del artículo más impuestos
= x + .0825x
c = x + .0825x {costo del artículo más impuestos}
Step-by-step explanation:
which propety of multiplication is shown
9 x (2 x 12) = (12 x 9) x 2
Answer:
216
Step-by-step explanation:
9*(2*12)
9*(24)
9*24
216 ans
Robert plans to make a box-and-whisker plot of the following set of data.
27, 14, 46, 38, 32, 18, 21
Which of the following should Robert's box-and-whisker plot look like?
10
15
20
25
30
35
40
45
50
o
10
15
20
25
30
35
40
45
50
O
10
15
20
25
30
35
40
45
50
5
10
15
20
25
30
35
40
Answer:
To make a box and whisker plot, you need to draw a number line that would be able to represent all the values in the data (look at your lowest and highest numbers).
You will need to graph the following 5 points on your number line (median, lower quartile, lower extreme, upper quartile, and upper extreme).
Create a box around the quartiles and extend the lines to the extremes.
See the picture I have attached for the box and whisker box for this data set.
Step-by-step explanation:
IM BEGGING YOU PLEASE HELP PLEASE HELP I NEED HELP PLEASE
Answer:
area of shaded region: 21.07 ft²
Given for semi circle:
radius of semi-circle: 7 ftGiven for rectangle:
width: 7 ftlength: 14 ftFind area of rectangle:
Length * Width
14 * 7
98 ft²
Find the area of semi circle:
1/2 * π * r²
1/2 * 3.14 * (7)²
76.93 ft²
Area of shaded region:
area of rectangle - area of semi-circle
98 ft² - 76.93 ft²
21.07 ft²
You fill a 10 1/2 gallon tub 1/3 full of water. How many gallons of water are in the tub?
Answer:
3.5
Step-by-step explanation:
10.5 divided by 3= 3.5
30 POINTSSS IS MY ANSWER 2 CORRECT???
Answer:
2286
Step-by-step explanation:
If you take 14 percent of a number and get 320, then what is that number? In other words, you know that 14 percent of a number is 320 and you want to know what that initial number is.
To solve this problem you multiply 320 by 100 and then divide the total by 14 as follows: (320 x 100) / 14
When we put that into our calculator, we get the following answer:
2285.71
can't have a portion of someone to you round it to the nearest whole number.
Answer:
The town’s population is 2286 (approximately)
Step-by-step explanation:
Let x be the number of the town’s residents :
We can translate the statement “14% of the town’s population is over the age of 65 and there are 320 residents over the age of 65” mathematically like this :
[tex]\frac{14}{100} x=320[/tex]
[tex]\Longrightarrow 14x=320\times 100\\\\\Longrightarrow 14x=32000[/tex]
[tex]\Longrightarrow x=\frac{32000}{14}[/tex]
[tex]\Longrightarrow x=2285.71428571429[/tex]
PLEASE SHOW ALL WORK
Shannon won $10,000. She will be paid $20 a day until the money runs out. How many days will the money last?
Group of answer choices
500 days
499 days
480 days