Answer:
B. x = 5/2
Step-by-step explanation:
-2x+14+ 10x=34
-2x+10x=34-14
8x=20
x=20/8 =5/2
Simplify the expression given below.
(17^14)^20
A. 289^34
B. 289^280
C. 17^280
D. 17^34
Answer: Heyaa! ^^
When you simplify (17^14)^20 Your Answer is
C. 17^280Step-by-step explanation:
Multiply the exponents in (17^14)^20And Simplify!!Hopefully this helps you!
You toss a coin and roll a number cube. The table shows the sample space,
where H means heads, T means tails, and the numbers represent the number
cube roll?
What is the probability of tossing heads and rolling a number less than 3?
A.1/4
B.1/3
C.1/6
D.1/2
Please help me on this and answer quickly if you get it correct and I’ll give brainlist if you don’t I won’t give brainlist but hurry please!!
Using it's concept, it is found that the probability of tossing heads and rolling a number less than 3 is given by:
C. 1/6
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there were 12 trials. Of those, 2 are H1 and H2, which are heads and a number less than 3, hence the probability is given by:
p = 2/12 = 1/6.
Which means that option C is correct.
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Calculate the Theoretical probability of the following experiments.
Use a tree diagram to visualize your calculations. *** Note that these are independent experiments. Once she has removed a fruit, she will put it back in before removing a second fruit.***
Jane has a bag with 5 oranges, 4 grapefruits, and 3 apples.
What is the probability that she will NOT randomly take out two oranges in a row?
What is the probability that she will NOT randomly take out two grapefruits in a row?
What is the probability that she will NOT randomly take out two apples in a row?
What is the probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order?
The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order is 0.2917.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
A.) The probability that she will NOT randomly take out two oranges in a row,
Probability = 1 - (5/12)² = 0.8264
B.) The probability that she will NOT randomly take out two grapefruits in a row,
Probability = 1 - (4/12)² = 0.8264 = 0.8889
C.) The probability that she will NOT randomly take out two apples in a row,
Probability = 1 - (3/12)² = 0.8264 = 0.9375
D.) The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order,
Probability = (7/12) × (9/12) × (8/12) = 0.2917
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What does 0 = 0 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
Answer:
There are infinitely many solutions to the system because the equations represent the same line
a is a common factor of 72 and 108
b is common multiple of 4 and 10
work out the highest possible value of a/b
Answer:
the value is 14
Step-by-step explanation:
because im just trying to get points
This table shows some values of an exponential function.
What is the function?
The exponential function of the table is y = 0.75(2)^x
How to determine the exponential function?From the table, we have the following points
(x,y) = (0,0.75) and (1,1.5)
An exponential function is represented as:
y = ab^x
At (0,0.75), we have:
0.75 = ab^0
a = 0.75
Substitute a = 0.75 in y = ab^x
y = 0.75b^x
At (1,1.5), we have:
1.5 = 0.75b^1
Evaluate
1.5 = 0.75b
Divide both sides by 0.75
b =2
Substitute b =2 in y = 0.75b^x
y = 0.75(2)^x
Hence, the exponential function is y = 0.75(2)^x
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wright the follwing in decimlal form:25/8
Answer:
25/8 in decimal form is 3.125.
Step-by-step explanation:
I hope this helps! :)
In a random population, out of 500 people, 160 had blue eyes. In a group of 2500 people, how many would have blue eyes?
======================================================
Work Shown:
(160 with blue eyes)/(500 total) = (x with blue eyes)/(2500 total)
160/500 = x/2500
x = 2500*(160/500)
x = 800
------------
Another approach:
160/500 = 0.32 = 32% of the first group has blue eyes
Assuming this percentage is the same for any group, then,
32% of 2500 = 0.32*2500 = 800 people of the second group are estimated to have blue eyes, of the 2500 total.
This Week's High Temperatures (°F)
29, 38, 45, 31, 50, 58, 62
Last Week's High Temperatures (°F)
44, 31, 66, 32, 26, 58, 78
Which measures of center and variability for the
temperatures were lower this week than last week?
Check all that apply.
mean
median
mode
range
mean absolute deviation
Done
The measures of center and variability for the
temperatures that were lower this week than last week include mean, range, mean absolute deviation.
What is a mean?It should be noted that a mean simply means the average set if numbers given.
Also, the range is the difference between the highest number and the lowest number in the data.
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Answer:
mean,range,mean absolute deviation
Step-by-step explanation:
just took it on edge
Use the equation of y = 1.5x +5 to predict the amount of milk needed for a 17-pound goat and a 55-pound goat
The amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively
How to determine the amount of milk?The equation is given as:
y =1.5x + 5
For a 17-pound goat, we have:
x = 17
This gives
y =1.5 * 17 + 5
y = 30.5
For a 55-pound goat, we have:
x = 55
This gives
y = 1.5 * 55 + 5
y = 87.5
Hence, the amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively
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Pls Help, Will Give Brainlest
Answer:
19.1 ft³
Step-by-step explanation:
Hello!
Volume of a cylinder: [tex]V = \pi r^2h[/tex]
V = volumeπ = pi (3,14)r = radiush = heightWe can plug in the values and solve.
Solve[tex]V = \pi r^2 h[/tex][tex]V = (3.14)(1.5)^2(2.7)[/tex][tex]V = (3.14)(2.25)(2.7)[/tex][tex]V = 19.0755 \approx 19.1[/tex]The volume is approximately 19.1ft³
Step-by-step explanation:
[tex]\pink{\large{\underline{\underline{\sf Given:-}}}}[/tex]
[tex] \sf Radius_{\blue{cylinder}}=1.5 \: feet[/tex][tex] \sf Height_{\blue{cylinder}}=2.7 \: feet[/tex][tex]\pink{\large{\underline{\underline{\sf To\:find:-}}}}[/tex]
[tex] \sf Volume_{\blue{cylinder}}=?[/tex][tex]\pink{\large{\underline{\underline{\sf Solution:-}}}}[/tex]
We know that,
[tex]\underline{\boxed{\sf Volume_{cylinder}=πr^2h}}[/tex]
[tex]\longmapsto \sf 3.14×(1.5)^2×2.7[/tex]
[tex]\longmapsto \sf 3.14×2.25×2.7[/tex]
[tex]\longmapsto \sf 3.14×6.075[/tex]
[tex]\longmapsto \sf 19.0755≈19.1\: cubic\:feet[/tex]
13 = m/4 + 7 can you show work too
The correct value of this equation is m = 24
Resolution methodThis equation contains a fractional term. We note that the denominator of this equation is the term 4. Therefore, we will multiply the sides by 4:
13 = m/4 + 7
13 . 4 = 4(m/4) + 7 . 4
52 = m + 28
Now, let's isolate the variable "as negative" and after the equality - we'll be subtracting the terms:
52 = m + 28
-m = 28 - 58
-m = -24
m = 24
Therefore, the correct value of this equation will be m = 24
Find the angle of CD. Round to the nearest tenth. 12.7 cm 45.5° 9/06 cm mCD= [?]°
Using the information in the diagram, the measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is 89.0°
Calculating the angle subtended by an arcFrom the question, we are to determine the measure of [tex]\overset{\LARGE\frown}{CD}[/tex]
Consider the right triangle
The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is twice the measure of the unknown angle
Let the unknown angle in the right triangle be x
∴ The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 2x
Then,
x + 90° + 45.5° = 180° (Sum of angles in a triangle)
x = 180° - 90° - 45.5°
x = 44.5°
Thus,
The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 2×44.5°
The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 89°
Hence, the measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is 89.0°
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somebody please help me
Answer:
66°
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in a triangle is 180°.
__
79° +x +35° = 180°
x = 180° -114° . . . . . . . . subtract 114° from both sides
x = 66° . . . . . simplify
What is the relationship between the values m and n plotted on the number
line below?
m
n
H
A. m = n
OB. m> n
OC. m
h
Answer:
C
Step-by-step explanation:
M is less than n because it comes before it in the number line
Triangle ABC is a right triangle. The length of one of the legs is 12 centimeters, and the length of the hypotenuse is 20 centimeters. What is the length of the other leg?
Answer: 16 centimeters
Step-by-step explanation:
We will use the Pythagorean theorem to solve. The c variable is the hypotenuse, the a and b variables are the legs.
a² + b² = c²
12² + b² = 20²
144 + b² = 400
b² = 256
b = [tex]\sqrt{256}[/tex]
b = 16
The length of the other leg is 16 centimeters.
Answer:
The other leg is 16 cm long.
Explanation:
Use the Pythagorean theorem:
[tex]c^2=a^2+b^2[/tex],
where:
[tex]c[/tex] is the hypotenuse, and [tex]a[/tex] and [tex]b[/tex] are the other two sides (legs).
Let [tex]a=12[/tex] [tex]cm[/tex]
Rearrange the equation to isolate [tex]b^2[/tex]. Plug in the values for [tex]a[/tex] and [tex]c[/tex], and solve.
[tex]b^2=c^2-a^2[/tex]
[tex]b2=(20 cm)^2-(12 cm)^2[/tex]
Simplify.
[tex]b^2=400 cm^2-144cm^2[/tex]
[tex]b^2=256 cm^2[/tex]
Take the square root of both sides.
[tex]b=\sqrt{256cm^2}[/tex]
Simplify.
[tex]b=16[/tex] [tex]cm[/tex]
Circle O has secant lines AB and BD intersects circle O at points C and D. if AD=40 degrees and BC=120 degrees, find
Answer:
Angle AED: 40
Angle BEC: 105
Explanation:
1) To find Angle AED, you have to do arc BC minus arc AD then divide by 2.
120 - 40 = 80.
80 / 2 = 40
2) To find Angle BEC, you have to do arc BA + CD then divide by 2. But that's only angle CED. You'll have to double the number because BEA is vertical; then minus 360.
62 + 88 = 150
150 / 2 = 75
75 times 2 = 150
360 - 150 = 210
210 / 2 = 105
- You'll divide 210 by 2 because of the vertical angles of AED and BEC.
What is the solution for x in the equation?
x-3/7=2x-25/7
Step-by-step explanation:
please mark me as brainlest
Answer: x = 4/3
Step-by-step explanation: I just answered the answer
PLEASE HELPP! RIGHT ANSWERS ONLY!!!
Answer:
[tex] \large {\boxed{ \sf{y = 2x + 5}}}[/tex]
Step-by-step explanation:
Suppose the slope of the line is k.
So,
[tex] \large {\bold {k = \frac{7 - ( - 1)}{1 - (3)} = \frac{7 + 1}{1 + 3} = \frac{8}{4} = 2 }}\\ [/tex]
So the line:
[tex] \large \bold{ \frac{y - 7}{x - 1} = k = 2 } \\ [/tex]
[tex] \: [/tex]
So,
[tex] \large \bold{y - 7 = 2(x - 1)}[/tex]
[tex]\large \bold{y - 7 = 2x - 2}[/tex]
[tex]\large \bold{y = 2x - 2 + 7}[/tex]
[tex]\large \bold{y = 2x + 5}[/tex]
[tex]{\rule{200pt}{4pt}}[/tex]
[tex] \large \bold{-N} \frak{unx-}[/tex]
What is the (LCM) of 5/6 and2/5
Answer:
30
Step-by-step explanation:
[tex]\frac{5\cdot\frac{6}{6} }{2\cdot\frac{6}{6} } = \frac{25}{30}, \frac{12}{30}[/tex]
is 0.9999 really the same as 1
Answer:
No but on a calculator it will just be rounded up. If 0.99999 was 1, maths would be pretty much useless.
Answer:
no the value tends to go to 1 but it is not exactly one.
The diagram shows a rectangle. The area of the rectangle is 310 m². Work out the value of w when 5x-9 is the length and 3x+7 is the another length
Answer:
w = 10
Step-by-step explanation:
First we take the two values for the breadth of the rectangle
So:
5x - 9 = 3x + 7
now we solve this equation as follows:
5x - 3x = 9 + 7
2x = 16
x = 8
now that we have found the value for x, we can substitute it in the equation, 5x - 9,or in the equation, 3x + 7.
when we substitute x in any of these equations, we get
5(8) - 9 = 31
3(8) + 7 = 31
now that we have the value for the breadth we can form the following equation:
31 × w = 310
31w = 310
w = 310/31 = 10
Answer:
10
Step-by-step explanation:
Firstly, we find the value of X
since 5X-9 and 3X+7 are lenghts
5X-9= 3X+7
5X-3X= 7+9
2X = 16
dividing bothsides by 2
2X/2= 16/2
X = 8
Hence,
5X-9= 5(8)-9= 40-9 = 31
3X+7=3(8)+7= 24+7= 31
To find the width
Area= lenght×width
310= 31×w
31w= 310
w= 310/31
W= 10
Sybil can put a total mass of 950 g in her bag. she buys a book that weighs 450 g and a notebook that weighs 210 g. write an equation to represent how much more mass, m, her bag can hold. then, solve for the answer and include an explanation of how you solved the equation
Answer:
M =290
Step-by-step explanation:
Subtraction of numbers
Geometry, Angles questions
Answer:
X= 82⁰
z= 82⁰
Step-by-step explanation:
for X:
we can use co-interior angles sum up to make 180 so,
x+ 98= 180
x= 180-90= 82⁰
for z, we can use either angles on a straight line or corresponding angles
using angles on a straight line,98 + z= 180
z= 180-98= 82⁰
using corresponding anglescorresponding angles are always equal and can be found in the F shape diagram when lines are parallel
therefore X and z are corresponding angles and since we found x= 82⁰ then z= 82⁰
If the measure of arc AB is 50 degrees, what is the measure of angle ADB?
90 degrees
100 degrees
25 degrees
50 degrees
Answer:
25 degrees
Step-by-step explanation:
arc divided by 2 = angle
50/2=25
The scatter plot shows the relationship between the saturation specific humidity, in grams per kilogram of air, and the ambient temperature, in degrees celsius, of the atmosphere. which type of relationship would best model this data?
By critically observing the scatter plot (see attachment), the type of relationship that would best model this data is positive nonlinear.
The types of relationship in a scatter plot.In Statistics, there are four (4) main types of relationship (association) in a scatter plot and these include the following:
Positive linear association.Negative linear association.No association (None).Non-linear association.By critically observing the scatter plot shown in the image attached below, we can logically deduce that the type of relationship that would best model this data is positive nonlinear because the change in one of the variables doesn't result in a constant change in other variables.
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List the first 4 terms of a geometric sequence with the first term of 2 and a common ratio of 5.
Answer:
2, 10, 50, 250
Step-by-step explanation:
For geometric sequences, multiply the previous term by the common ratio.
Using the formula for geometric sequences [tex]a_{n} =ar^{n-1}[/tex] , with [tex]a_{n}[/tex] being the nth term (so n=4 for the fourth term), a being the first term, and r being the common ratio.
Our starting term is 2. So that is automatically the first term of the four.
Second term:
[tex]a_{2} =2*5^{2-1}=2*5^1=2*5=10[/tex]
Third term:
[tex]a_{3} =2*5^{3-1}=2*5^2=2*25=50[/tex]
Fourth term:
[tex]a_{4} =2*5^{4-1}=2*5^3=2*5*5*5=10*25=250[/tex]
Write the equation for the graph of the line
shown.
My answer is y= 2x-1 but I’m not sure if it’s right
Answer: Hope this explains everything for you!
y= -2x+3
Step-by-step explanation:
y= 2x-1 is wrong
First, we will start by identifying the y-int, the y-int is when x is zero. The y-int is 3 since when x is 0, y is 3, (0,3).
y= 2x+3 (So that means -1 is actually 3)
Plus even if your slope is 2, since from the 2 points you go up 2 and run by 1, if you're not going to calculate it with 2 points, you need to see if its uphill, downhill, etc. (More info in the image below) The slope is actually negative meaning it is -2.
So the equation of the line is actually y= -2x+3
Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room. how many quarts of paint did mieko use in the living room?
The number of quarts of paint did mieko use in the living room is A = 3 quarts
Given data ,
Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room
Now , on simplifying the equation , we get
Two gallons of paint is equal to 8 quarts (2 x 4 = 8)
Mieko used 1/4 of the paint on her bedroom, which is equal to 2 quarts (1/4 x 8 = 2)
She used 3 quarts of paint on the hallway
Thus, Mieko used a total of 2 + 3 = 5 quarts of paint on the bedroom and hallway
Therefore , she used 8 - 5 = 3 quarts of paint in the living room
Hence , the number of quarts is A = 3 quarts
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Which of the following best describes the histogram?
The histogram is evenly distributed.
The histogram is symmetrical.
The left side of the histogram has a cluster.
The left side of the histogram is the mirror image of the right side.
histor Grammer
Step-by-step explanation:
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