Answer:
Problem 1:
Width of the larger version = 2.99 in.
Problem 2:
Friday = 5⅞ miles
Step-by-step explanation:
Problem 1:
Since the cell-phones are similar in shape and the width and length of both are proportional, therefore:
Width of the bigger phone/Width of the smaller phone = length of the bigger phone/length of the smaller phone
Width of smaller phone = 2.6 in.
Length of smaller phone = 5.4 in.
Width of bigger phone = x = ? in.
Length of bigger phone = 6.21 in.
Therefore:
6.21/5.4 = x/2.6
Cross multiply
5.4 × x = 2.6 × 6.21
5.4x = 16.146
Divide both sides by 5.4
x = 16.146/5.4
x = 2.99
Width of the larger version = 2.99 in.
Problem 2:
Jen's goal for the 5 days = 22 miles
The number of miles she ran Mon to Thursday was given.
To meet her goal, let's find the number of miles she has to run to meet her goal.
Thus:
Number of miles to run on Friday = 22 - (4¾ + 5⅛ + 0 + 6¼)
Change to improper fraction
= 22 - (19/4 + 41/8 + 0 + 25/4)
= 22 - ((38 + 41 + 0 + 50)/8)
= 22 - 129/8
= (176 - 129)/8
= 47/8
= 5⅞ miles
Which of the following is the correct expanded form for the series below?
0 + 1 + 4 + 9 + 3
(0 + 3) +(1 + 3) + (4 + 3) + (9 + 3)
1 + 3 + 9 + 27 + 3
(0 +3) + (2 + 3) + (4 + 3) + (6 + 3)
Answer:
A) 0+1+4+9+3
Step-by-step explanation:
will give brainiest!!
Find the volume of the cone.
9 cm
r = 6 cm
V = [?] cm3
Round to the nearest tenth.
Volume of a cone is equal to pi * r^2 * h/3.
In this case:
pi * 6^2 * 9/3
pi * 36 * 3
108pi
Answer: 339.3
Answer: 339.292006588 or V ≈ 339.29
Step-by-step explanation: Here is the formula that you need...
V = π [tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]
1. Multiply π (pi or approximately 3.14) by [tex]6^{2}[/tex] (36).
2. Multiply your answer from the last step which is 113.097335529 by [tex]\frac{9}{3}[/tex] or 3.
3. Final Answer should be 339.29 for the nearest tenth.
V = π [tex]6^{2}[/tex] [tex]\frac{9}{3}[/tex] which gives you...
V = 339.29
I hope this helped you!!
If a point in the figure below is chosen at random, what is the probability that it is in the shaded region?
Answer:
254/324 which is about 78.4%
Step-by-step explanation:
found area of entire square to be 18² or 324
found area of 4-quarter circles - which equals one circle with radius of 9
A = 81π which is about 70
subtracted 324 and 70 to get 254
ratio of shaded to unshaded is 254 : 324
The Probability of point to lie is in the shaded region= [tex]\frac{254.34}{324}[/tex]
What is probability ?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
Area of square= side x side
= 18 x 18
= 324 sq. cm.
Area of 4 quadrant =4 x [tex]\frac{\pi r^{2} }{4}[/tex]
= [tex]3.14 * 9 * 9}[/tex]
= 254.34 sq. cm.
So, probability that it is in the shaded region= [tex]\frac{254.34}{324}[/tex]
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
Triangle FCD is cut from parallelogram ABCD moved with left-hand side. What are the dimensions of the resulting triangle AEFD?
Answer:
The answer is below
Step-by-step explanation:
Triangle FCD is cut from parallelogram ABCD moved with left-hand side. What are the dimensions of the resulting rectangle AEFD?
A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel to each other.
A rectangle is a quadrilateral with opposite sides which are parallel and equal to each other. All the angles in a rectangle are at 90 degrees.
From the image, AD = z, FC = x, BF = w and BC = y. Hence:
EB = FC = x.
EF = AD = length = z; AE = FD = height = w
Therefore the dimensions of rectangle AEFD is length z and height w
B) Prove or disprove by example or by exhaustive checking that every integer greater than 1 is either prime or sum of two primes.
Answer:
Every integer greater than 1 is either prime or composite.
Step-by-step explanation:
Let us negate this statement.
Assumption - any number greater than 1, is neither prime nor composite.
A prime number has only 2 divisors, and a composite number has at least 3.
Let a number be X such that X >1.
Now X is divisible by 1 (Any integer is divisible by 1)
And X is divisible by X (X/X = 1, if X is not zero)
So by this, we see X has at least 2 divisors, X is either prime, or composite if it has more divisors!
So our assumption is wrong, and every integer greater than 1 is either prime or composite.
Which point is located at (2, 6)?
On a coordinate plane, point A is 6 units to the right and 2 units up. Point B is 6 units to the left and 2 units up. Point C is 2 units to the right and 6 units up. Point D is 2 units to the left and 6 units up.
A
B
C
D
Answer:
point c
Step-by-step explanation:
:) hope its right
Barry wants to make a drawling this is 1/2 the size of the original. If a tree in the original drawling is 11 inches tall and 7 inches wide, what will be the length and width of the tree in Barry's drawling?
Answer: 5.5 inches, 3.5 inches
Step-by-step explanation:
Given
Barry wants to make a drawing i.e. half the size of original
The length and width of the original drawing are 11 inches and 7 inches respectively.
So, the intended drawing is obtained by multiplying the original dimensions by [tex]\frac{1}{2}[/tex]
The length of barry's drawing is
[tex]\Rightarrow 11\times \frac{1}{2}\\\\\Rightarrow 5.5\ \text{inches}[/tex]
The breadth of barry's drawing
[tex]\Rightarrow 7\times \frac{1}{2}\\\\\Rightarrow 3.5\ \text{inches}[/tex]
PLSSS HELP GIVING BRAINLIEST
Peter cuts a foam block along the red line. When he looks at the newly exposed face, what is the shape of the cross-section? 5 cm 9 cm 7 cm O A. A rectangle, 7 cm by 5 cm OB. A rectangle, 9 cm by 7 cm O C. A square, 7 cm by 7 cm D. A rectangle, 9 cm by 5 cm
Answer:A. A rectangle, 7cm by 5 cm
Step-by-step explanation:
which ones plsss help
Could you help me with one of those two questions, please? Please
Answer
Step-by-step explanation:
Hope it helps you!
If f(x) = 8x2-5, what is f(-1)
Answer:3
Step-by-step explanation:
Simply plug in -1 for anywhere you see x in the equation so...
8(-1)^2-5
8(1)-5
8-5
3
Hope this helps
Step-by-step explanation:
Remember math is a language
f(x) : A function of x where x can be any number including a number you choose
when you see f(-1), this tells you what the function is at this given x value. So you substitute - 1 wherever you see x
8(-1)2 - 5
Write the slope-intercept form of the equation of the line that passes thrqugh (-4, -3) and is
perpendicular to the graph of 2x - 3y = -5.
Answer:
Step-by-step explanation:
Equation of the line y = mx + c
The new line is perpendicular to 2x - 3y = -5
- 3y = - 5 - 2x
3y = 2x + 5
y =[tex]\frac{2x}{3} + \frac{5}{3}[/tex]
Since the lines are perpendicular to each other : [tex]m_{1} . m_{2} = -1[/tex]
where [tex]m_{1} \ slope \ of \ the \ given \ line \ and \ m_{2} \ slope \ of \ the \ new \line\\[/tex].
Slope of the given line
[tex]m_{1} = \frac{2}{3}[/tex]
Slope of the new line
[tex]\\\frac{2}{3}.m_{2} = -1\\ m_{2} = -1 . \frac{3}{2} = \frac{-3}{2}[/tex]
The equation to the new line passing through (-4, -3) and perpendicular to 2x - 3y = -5
[tex](y - y_{1}) = m_{2}(x-x_{2} )\\\\(y - (-4)) = \frac{-3}{2}(x - (-3)) \\\\(y + 4) = \frac{-3}{2} (x+ 3)\\\\2(y +4) = -3(x+3)\\\\2y + 8 = -3x -9 \\\\2y = -3x - 9 -8\\\\y = \frac{-3x}{2} - \frac{17}{2}[/tex]
What is the area of the shaded sector? (Round to the nearest tenth)
10
38
Answer:
33.1
Step-by-step explanation:
First you need to find the area of the circle. The radius is 10 which means that the area is 314. Since a circle has 360 degrees, and the shaded area is 38 degrees, you need to divide 314 by 360 which is 0.87. Then multiply by 38 because the shaded sector is 38. 0.87 x 38 = 33.1.
That is the answer.
pleaseeeeeeeeeeeeeeeeeee answer
Answer:
The answer is y=x-5
Step-by-step explanation:
y=x-5
Ten students participated in the 4 mile relay. Each student ran a fraction of the 4 miles. Chooses which line plot could represent the data of the runners. Explain your reasoning.
Answer:
B
Step-by-step explanation:
To know which line plot could represent the data, we take the sum of the miles covered by the runners and check if it adds up to 4 miles for each plot :
Plot 1 :
(1/12 * 1) + (1/8 * 2) + (1/6 * 1) + (1/4 * 2) + (1/3 * 1) + (1/2 * 3) = 2.8333
Plot 2 :
(1/6 * 2) + (1/4 * 2) + (1/3 * 2) + (1/2 * 3) + 1 = 3 +1 = 4 miles
Since the sum of the miles ran by the runners equals 4 miles for the second plot, hence, the second plot could represent the data for the runners.
96 plus what equals 180?
Answer:
Step-by-step explanation:
180-96
180-96 = 84
96 + 84 = 180
Answer:
84
Step-by-step explanation:
Let x equal how much 96 is plussed by to get 180.
96 + x = 180
Switch the equation to subtraction:
180 - 96 = 84
Now, let's check our work!:
96 + 84 = 180
Hope this helps!
What is the value of x?
Answer:
,
Step-by-step explanation:
Which of the following expressions is equivalent to 13÷34?
Answer:
10 + (3 ÷ 24)
You're not showing me the options so I'm just picking a random expression that could possibly be equivalent.
HELP ME PLEASEEEEEEEEE
[tex](11 + x) \div 2 = 7 \\ 11 + x = 14 \\ x = 14 - 11 \\ x = 3[/tex]
[tex](4 + y) \div 2 = 5 \\ 4 + y = 10 \\ y = 10 - 4 \\ y = 6[/tex]
[tex](3,6) - option \: a[/tex]
A TV is priced at $475.25. There is a 7% sales tax rate. What is the sales tax for the TV in dollars and cents?
Answer:
$33.27
Step-by-step explanation:
En la multiplicación monomio por monomio: 1. se multiplican los signos 2. se suman los coeficientes 3. se multiplican las variables
-Si o No
Answer:
no sabe
Step-by-step explanation:
yo no se
Please help me. I will be giving 50 points, brainliest, a friend request, 5 stars and a heart. Please give an explanation as well.
Answer:
Step-by-step explanation:
Let older brother age be x and the age difference between the brothers be y
Younger brother's current age = x - y
When older brother's age was at x - y, younger brother's age was x - 2y = 2
When young brother's age will be at x, older brother's age will be x + y = 20
Subtracting the first equation from the second: 3y = 18
y = 6
x = 14
So the older brother is 14 and the younger brother is 8.
Sum of three son's ages now = 15 + 11 + 7 = 33
Daddy's age now = 45
Age difference = 12
Each year, daddy's age goes up by 1 while the sum of three son's ages goes up by 3.
Dividing the age difference by the difference in age gain, 12 / (3 -1) = 12 / 2
= 6
So in 6 years when daddy is 51 and the sum of sons at 21, 17 and 13 will be equal.
Answer:
Step-by-step explanation:
older bro age is x
younger bro age is y
age diff = x - y
it was (x-y) years ago when older bro was at age y
younger bro age then was y - (x - y) =2
2y - x = 2
younger bro will be at age x in (x-y) years
older bro age then will be x + (x-y) = 20
2x - y = 20
4x - 2y = 40
adding 2y - x = 2
3x = 42
x = 14
y = 2*14 - 20 = 8
daddy' age, 45 is 12 over the sum of sons (15, 11 and 7)
in 1 yr, dad age +1 n sum of sons +3 = difference of 2
so in 12/2 = 6 yrs they will be the same
what is the mean in these numbers 50 60 80 90 100
Answer:
76
Step-by-step explanation:
MARK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZAnswer:
76
Step-by-step explanation:
Average = Sum / Count
so
Altogether = 380 / 5
mean = 76
Find the distance between the points (4,0) and (0, 3).
Step-by-step explanation:
Given points are (4,0) and (0,3)
The distance between these two points =√(0-4)^2+(3-0)^2
=√16+9
=√25
=5 units
Answer:
(4,0) = ([tex]x_{1}[/tex],[tex]y_{1}[/tex])
(0,3)=([tex]x_{2} ,y_{2}[/tex])
distance between the points = [tex]\sqrt{(x_{1}-x_{2})^2 + (y_{1}-y_2 )^2 }[/tex]
distance=5
Step-by-step explanation:
• El comedor del piso piloto tiene un área de 0,6 dam2 . En él se pondrán dos sofás que ocuparán 2,5 m2 de área cada uno, seis sillas de 2.500 cm2 de área cada una y una mesa de 360 dm2 . ¿Cuántos metros cuadrados libres tendrá el comedor?
Answer:
Quedan libres 49.9 metros cuadrados en el comedor.
Step-by-step explanation:
Un decámetro cuadrado ([tex]dam^{2}[/tex], antiguamente [tex]Dm^{2}[/tex]) equivale a 100 metros cuadrados, un metro cuadrado ([tex]m^{2}[/tex]) equivale a 10000 centímetros cuadrados ([tex]cm^{2}[/tex]) y 100 decímetros cuadrados ([tex]dm^{2}[/tex]). El área libre del comedor se obtiene al sustraer las áreas cubiertas de los muebles del área total del comedor:
[tex]x = 0.6\,dam^{2}\times \frac{100\,m^{2}}{1\,dam^{2}}- 2\times 2.5\,m^{2} - 6\times 2500\,cm^{2}\times \frac{1\,m^{2}}{10000\,cm^{2}} - 360\,dm^{2}\times \frac{1\,m^{2}}{100\,dm^{2}}[/tex]
[tex]x = 49.9\,m^{2}[/tex]
Quedan libres 49.9 metros cuadrados en el comedor.
jasmine left me so I have to improvise anyways
PLS HELP WILL GIVE BRAINLIEST
3 and 1/6
to check your work, if you do 2+1 you get 3. and to do 3 and 1/6 you must do 6 times 3 which is 18 and add 1 bc that is the numerator. so you get 19/6. 6 can go into 19 3 times giving you 18 which will then leave you with 1 making the answer to this question 3 and 1/6. 3 being for how many times 6 can go into 19. 1 being what is left of 19 after 6 fitting into 19 3 times. and 6 being the denominator.
What is the surface area of the cube below? 8 8 O A. 512unit * s ^ 2 O B. 320unit * s ^ 2 O C. 384unit * s ^ 2 O D. 508unit * s ^ 2
Answer:
C
Step-by-step explanation:
Formula for Surface Area of cube :
6 x [tex]a^{2}[/tex]
In our case, the edges are 8, meaning would we would subsuite a with 8 in the equation. We would do 6 x 64, since [tex]8^{2}[/tex] is 64. 6 x 64 is 384, hence our answer is 384.
The Surface Area of the cube is 384 unit².
What is surface Area?Surface area is the amount of space covering the outside of a three-dimensional shape.
Given: the edge of the cube, l= 8 units
Surface area of the cube = 6*l²
= 6*8*8
= 6*64
= 384 unit²
Hence, the surface area of the cube is 384 unit².
Learn more about surface area here:
https://brainly.com/question/13789496
#SPJ2
24 points
what's the answer?
show full step
thanks
[tex]\huge{ \mathrm{ \underline{ Answer} \: \: ✓ }}[/tex]
[tex]\longrightarrow \huge{1}[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Answer:
See belowStep-by-step explanation:
Given:
[tex]a = xy^{p-1}[/tex][tex]b = xy^{q-1}[/tex][tex]c = xy^{r-1}[/tex]Solution:
[tex]a^{q-r}b^{r-p}c^{p-q} =[/tex][tex](xy^{p-1})^{q-r}(xy^{q-1})^{r-p}(xy^{r-1})^{p-q} =[/tex][tex]x^{q-r+r-p+p-q}y^{pq-q-pr+r+qr-r-pq+p+pr-p-qr+q} =[/tex][tex]x^0y^0 =[/tex]1*1 =1TRUE or FALSE
(a) In a scatterplot, the response is shown on the horizontal axis with the explanatory variable
on the vertical axis.
(b) If all of the data lie along a single line with nonzero slope, then the r
2 of the regression is
1. (Assume the values of the explanatory variable are not identical).
(c) If the correlation between the explanatory variable and the response is zero, then the slope
will also be zero.
(d) The use of a linear equation to describe the assocation between price and sales implies
that we expect equal differences in sales when comparing periods with prices $10 and $11
and periods with prices $20 and $21.
(e) The linear equation (estimated from a sequence of daily observerations):
Estimated shipments = b0 + 0.9*(Orders Processed) implies that we expect twice as many
shipments when the number of orders processed doubles only if b0 = 0.
(f) The intercept estimates how much the response changes on average with changes in the
predictor.
I'll do parts (a) through (c) to get you started
(a) False. The explanatory variable is always along the x axis, and the response variable is along the y axis. The response variable reacts to whatever the input explanatory variable is, hence the name "response".
---------
(b) True. If all data lie along a single straight line with nonzero slope, then either r = -1 or r = 1. If we have all data points on a line with some negative slope, then r = -1. If the regression slope is positive, then r = 1. Either way, it will lead to r^2 = 1 because (1)^2 = 1 and (-1)^2 = 1. In other words, there are two solutions to r^2 = 1 and they are r = -1 or r = 1. In the case of r = -1, we say the data has perfect negative linear correlation. With r = 1, the data has perfect positive linear correlation.
---------
(c) True. If r > 0, then we have some level of positive correlation which means the regression slope is positive in some way. If r < 0, then the regression slope is negative in some way. That must mean r = 0 leads to the regression slope having a flat horizontal line. This could mean one of two things: i) The points are all on or near the same curve such as a parabola, ii) The points are completely randomly scattered about. If case (i) happens, then it's better to use nonlinear regression instead of linear regression.
Find the value of x that makes m∥n.
Lines m and n are parallel when x=
Answer:
39
Step-by-step explanation:
the total value of the angle needs to be 150 degrees 150+6=156/4=39 4(39)-6=150