Answer:
x= 5t - a
Step-by-step explanation:
6x + a = 5(x+t)
If you expand 5(x+t), you will get 5x + 5t
i.e. 6x + a = 5x + 5t
Add the additive inverse of 5x to both sides (The additive inverse of 5x is -5x)
i.e. 6x + a - 5x = 5x + 5t - 5x
x + a = 5t
Then, add the additive inverse of "a" to both sides (The additive inverse of a is -a)
i.e. x + a - a = 5t - a
x = 5t - a
Hope this helps!!!
The vertices of a rectangle are A(-2, 4), B(-2,6), C(3,6), and D(3, 4). Which expression
shows how to find the length of the diagonal?
Answer:
Third option correct
Step-by-step explanation:
The diagonal is the distance between 2 of the vertices, and to end.
So the option we shall choose will contain 2 of the vertices in a distance between points equation.
Mathematically, the distance between two points is given by;
D = √(x2-x1)^2 + (y2-y1)^2
The correct option is the third option.
This is because it takes into consideration two of the vertices which are points A and point C
Answer: c the third one
Step-by-step explanation:
Simplify the expression:
6b – 2b+ 5b – 8
Answer:
9b-8
Step-by-step explanation:
6b+5b-2b-8
11b-2b-8
9b-8
Point A lies on the circle and has an x-coordinate of 1.
Which is the correct calculation of the y-coordinate of point A?
Answer:
y=0
correct way to solve it is y= xtan(theta)
Step-by-step explanation:
You did not mention if it is trigonometry but we assume that it is.
In trigonometry, a point with x-coordinate = 1 at a circle is horizontal line. the angle at this point is 0.
The correct way to solve it is to say tan = opposite/adjacent
since the angle is zero, and adjacent side x=0, tan 0=opposite/1
opposite (y) = 1 tan 0
y = 1*0 =0
Answer:
d
Step-by-step explanation:
u do the thing and u do it right and somehow it equals 2 (edge 2022)
A high square prism has a length L and width W units. if its height is H Units long the find the lateral surface area of the prism .
Answer:
2(L+W)H
Step-by-step explanation:
The lateral surface area of a prism is the total of the area of the faces.The lateral area of the prism is equal to the perimeter of the base times the altitude.Surface area= 2(L+W)H
Two bags contain coloured cubes.
Bag 1 has 3 red cubes and 1 blue cube.
Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.
Is the probability that you will get a red cube from Bag 1 and the yellow cube from Bag 2 more or less than the probability of getting the blue cube from Bag 1 and a green cube from Bag 2? Explain.
Answer:
equal
Step-by-step explanation:
Bag 1 has 3 red cubes and 1 blue cube. = 4 cubes
Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.= 5 cubes
P ( red bag 1) = red /total = 3/4
P (yellow bag 2) = yellow /total = 1/5
P(red bag1 , yellow bag2) = 3/4* 1/5 = 3/20
P ( blue bag 1) =blue /total =1/4
P (green bag 2) = green /total = 3/5
P(blue bag1 , green bag2) = 1/4* 3/5 = 3/20
The probabilities are equal
A line passes through (-1,7) and (2,10) which answer is the equation of the line
Answer: -x + y = 8
Step-by-step explanation:
So first you are going to want to find the slope of the equation. The equation for that it (y2 - y1)/(x2 - x1) = (10 - 7)/(2 - -1) and that equals 1. So your slope will be 1.
Now you have half of your equation complete, currently it looks like, y = x + b. So we have to find the y intercept. You can do that by plugging in a pair of coordinates into the current equation and solve for b.
Lets plug in (2,10)
10 = 2 + b
10 - 2 = b
b = 8
So now you have your equation in slope intercept form, y = x + 8. Just move the x over to the left side and there is your answer.
-x + y = 8
explain why 3 into 5 into 7 + 7 into 11 is a composite number
Answer:
As per BODMAS rule: 3 x 5 x 7 + 7 = 105 + 7 = 112. 112 is an even number and is therefore a composite number
Step-by-step explanation:
you need to do BODMAS so
3 x 5 x 7 = 105
then add 7 so there for 112
112 is an even number and therefore a composite number
Given a normal distribution of the lengths of wing-spans of a certain butterfly has a mean of 20 mm and standard deviation 3.5 mm. Find, ROUNDING YOUR ANSWERS TO 4 DECIMAL PLACES. A) What wing-span has an area of 0.1005 on it left side under the standard normal curve? B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?
Answer:
a) 15.52mm
b) 25.8275mm
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left side of the curve. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, that is, the area to the right side of the curve.
A) What wing-span has an area of 0.1005 on it left side under the standard normal curve?
This is X when Z has a pvalue of 0.1005. So it is X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 20}{3.5}[/tex]
[tex]X - 20 = -1.28*3.5[/tex]
[tex]X = 15.52[/tex]
This wing-span is 15.52mm.
B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?
This is X when Z has a pvalue of 1 - 0.0480 = 0.9520. So this is X when Z = 1.665.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.665 = \frac{X - 20}{3.5}[/tex]
[tex]X - 20 = 1.665*3.5[/tex]
[tex]X = 25.8275[/tex]
This wing-span is 25.8275mm.
Find the slope of the line that passes through (3, 2) and (10, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
m=1/7x
Step-by-step explanation:
Answer:
[tex] slope= \frac{1}{7} [/tex]
Step-by-step explanation:
[tex](3 \: \: \: \: \: \: \: 2) = > (x1 \: \: \: \: \: \: \: x2)\\ (10 \: \: \: \: 3) = > (y1 \: \: \: \: \: \: \: y2)[/tex]
[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{2 - 3}{3 - 10} \\ = \frac{ - 1}{ - 7} \\ = \frac{1}{7} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
I can’t find the area can you please help me with it. It’s the question with the question mark
Answer:
1947 units^2
Step-by-step explanation:
you can split it up into different sections of rectangles.
the first one is 25x39= 975
The second section is the connector which you do
43-25=18
and you do 39-27=12 and then
you multiple 18x12 which equals 216
and the final section you do 24+12=36
and 36x21=756
and finally you add them all up to equal 1947 units^2
Help please.... question number 1
Answer:
20
Step-by-step explanation:
The height of the platform is when t=0
h(0) = -4(0)^2 + 75(0) +20
=20
The height of the platform is 20
What is 46% of 22? Use a fraction and express your answer in simplest form.
Answer:
10 3/25
Step-by-step explanation:
46/100x22 =46x22 divide by 100
1012/100
10 12/100 both twelve and hundred can be divided by 4 thus final answer is ten whole(10) and three over twenty five(3/25)
Use the 2016 marginal tax rates to compute the tax owed by the following person.
A married woman filing separately with a taxable income of $186,000.
Answer:
If you are talking about the amount of money, it is $664,285.71
If not then lmk
Step-by-step explanation:
A box contains 56 balls. The probability of selecting a red ball at random is 5/7. How many balls in the box are not red?
Answer:
Brain to me plz
Step-by-step explanation:
2/7 is the balls are not red, so 2/7 multiplyed by 56
which is 16
Answer:
16 balls
Step-by-step explanation:
If 5/7 of the balls are red then the fraction of balls that are not red is;
[tex]\frac{7}{7} - \frac{5}{7} = \frac{2}{7}[/tex]
Which means 2/7 of the balls are not red. So to get the number;
[tex]= \frac{2}{7} * 56 \\= 2 * 8\\[/tex]
= 16
∴16 balls are not red
Is 1/2x-4 a function?
Answer:
Yes it is
Step-by-step explanation:
Each x value is represented by exactly one y value.
I have been asking for assistance for an hour and a half now, I will greaty appreciate anyone that can help with this..Find the Slopes,and for the third one find Mid-point
Answer:
1st graph: m = -1/2. (m is the slope)
2nd graph: m = 3/2.
3rd graph: Midpoint = (1/2, 1/2)
Step-by-step explanation:
1st graph:
Find the slope by looking for two points on the line. Use the formula [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
We can derive the points (-3, 0) and (1, -2). Plug these into the equation above.
[tex]m= \frac{-2-0}{1-(-3)}[/tex]
Simplify this, giving you: m = -1/2.
2nd graph:
Use the same formula as stated above. From this graph, you can plug in the points (-1, 1) and (1, 4)
[tex]m = \frac{4-1}{1-(-1)}[/tex]
Simplifying gets you: m = 3/2.
3rd graph:
To find the midpoint, use the formula: [tex](\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]
Plug in the end-points of the graph, or (-3, 2) and (4, -1).
You get:
[tex](\frac{-3+4}{2}, \frac{2-1}{2})[/tex]
Simplify:
Midpoint = (1/2, 1/2)
x + 2 4/5 = 3 1/6
someone please help me i don’t get the problem
-11/10
Step-by-step explanation:
so first get the x on one side of the equal sign and the numbers on the other.
x+2 4/5 = 3 1/6
- 2 4/5 - 2 4/5
x= -11/10
Please help me (this is one questionn)
Answer:
Below.
Step-by-step explanation:
Reading off the graph:
y-intercept = (0, 2.5)
x-intercept = (3.5, 0)
Find the value of n (-2/3)^4 ÷ (-2/3)^3 = (-3/2)^n
Answer:
Left side simplifies to (-2/3)^1 and the right side simplifies to (-2/3)^(-n) which means 1 = -n so n = -1.
Running from the top of a flagpole to a hook in the ground there is a rope that is 13 meters long. If the hook is 5 meters from the flagpole, how tall is the flagpole?
Answer:
12 meters
Step-by-step explanation:
Looking at the problem we can see that it typifies a right angled triangle. The rope running from the top of the flagpole to the hook on the ground is the hypotenuse of the triangle. Let us call this hypotenuse c. Let the distance between the hook and the foot of the flagpole be b. Let the height of the flagpole be a.
From Pythagoras theorem;
c^2 = a^2 + b^2
a^2= c^2 - b^2
a= √c^2-b^2
From the question
c= 13 metres
b= 5 metres
a= the unknown
a= √c^2-b^2
a= √(13)^2 - (5)^2
a= √169 - 25
a= √144
a= 12 meters
Answer:
The flagpole 12 meters tall
Step-by-step explanation:
Running from the top of a flagpole to a hook in the ground there is a rope that is 13 meters long
∵ The hook is 5 meters from the flag pole
∵ The flagpole and the ground ⊥ to each other
By using Pythagoras theorem:
hypothenus side is 13m
base is 5m
how tall is the flagpole is x
[tex]13^2=x^2+5^2\\\\169=x^2+25\\\\x^2=169-25\\\\x^2=144\\\\x=12m[/tex]
The flagpole 12 meters tall
Prove that 6+7 root 2 is irrational
Answer:
Step-by-step explanation:
49 is a perfect square, since it equals 7*7; 56 is not. If you have 35.2 and 37T, 36 is the perfect square between the two integers. Take the square root of the perfect square. If you have your square roots for memory, you know that the square root of 36 is equal to 6.
Write an
explicit formula for An, the nth term of the sequence
15, 7, -1,....
Answer:
aₙ=23 - 8n
Step-by-step explanation:
15, 7, -1,....
AP with the first term of 15 and common difference -8
aₙ=a₁+(n-1)d= 15+(n-1)*(-8)= 15 -8n +8= 23 - 8n
aₙ=23 - 8n
A focus group is made up 12 males and 4 females. Half of the males have college degrees. A member is selected at random from the geoup. What is the probability that the member is a male with a college degree?
Answer:
3/8
Step-by-step explanation:
We first have to find the probability that the person selected is a male and then multiply that by the probability that the male has a college degree.
There are 12 males and 4 females. There are 16 people in total. The probability of selecting a male is:
12/16 = 3/4
Half of the males have a college degree. Therefore, 6 males have a college degree. The probability that a selected male has a college degree is:
6/12 = 1/2
Therefore, the probability that a male is selected and that the male has a college degree is:
3/4 * 1/2 = 3/8
please help me on this!
Answer:
The rocket reached its maximum height at 1.25 seconds.
Step-by-step explanation:
If v varies directly as w, and v=24 when w=8, find the equation that relates v and w.
Answer:
v = 3w
Step-by-step explanation:
Given that
v ∝ w
The, v = k w ---------------(1)
Where k is the constant of proportionality
Now, v = 24, w = 8
Putting in (1)
24 = k(8)
Dividing both sides by 8, we get
k = 3
Putting k =3 in (1)
v = 3w
This is the required equation connecting both
What is the common denominator method. Pls explain with detail
Answer:
when both bottom numbers on a fraction are the same at the lowest form
Step-by-step explanation:
example: 2/4 + 6/8 the common denomenator is 8 as both numbers go into it and you only have to times by 2 so answer would be 10/8 which is also 1 2/8
Which data set could be represented by the box plot shown below?
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. A left whisker extends from 1 to 6. The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12. The right whisker extends from 16 to 19. All values estimated.
Answer:
Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
Step-by-step explanation:
Interpreting Box Plots
A box plot is used to present the 5-Number summary of a set of data.
The 5-Number summary consists of the following in their order of appearance on the box plot.
Minimum ValueFirst Quartile, [tex]Q_1[/tex]Median, [tex]Q_2[/tex]Third Quartile, [tex]Q_3[/tex]Maximum ValueIn the box plot, the following rules applies
The whisker starts from the minimum value and ends at the first quartile.The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median. The end whisker starts at the third quartile and ends at the maximum value.Using these, we interpret the given box plot
A left whisker extends from 1 to 6.
Minimum Value=1First Quartile =6The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.
Median=12Thrid Quartile=16The right whisker extends from 16 to 19.
Maximum Value =19Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
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Answer:
Yes,she had enough
½pound=8ounces
she needs a total of 24ounces
Step-by-step explanation:
She had enough because ½pound is 8ounces thus 16ounces+8ounces add up to 24ounces.
Answer:
Yes,she had enough
½pound=8ounces she needs a total of 24ounces
Step-by-step explanation:
Josh practice gymnastics each day after school the data shows the lengths of time josh practiced gymnastics for two weeks
Make a Tally table and line plot to show data
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer
Make a tally table and line plot to show the data.
Time (in hours) Tally Total
[tex]\frac{1}{4}[/tex] // 2
[tex]\frac{1}{2}[/tex] / 1
[tex]\frac{3}{4}[/tex] /// 3
1 //// 4
Hope it will find you well.
-6(4 + 5v) - 3 = -57 solve for V
-6(4 + 5v) - 3 = -57
Use distributive properties
-24 -30V -3 = -57
Combine like terms
-27 -30v = -57
Add 27 to both sides
-30v = -30
Divide both sides by -30
V=1
Answer:
v = 1
Step-by-step explanation:
-6(4 + 5v) - 3 = -57
Add 3 to each side
-6(4 + 5v) - 3+3 = -57+3
-6(4 + 5v) = -54
Divide by -6 on each side
-6(4 + 5v) / -6 = -54/-6
4+5v = 9
Subtract 4 from each side
4+5v-4 = 9-4
5v = 5
Divide each side by 5
5v/5 = 5/5
v =1