Answer:
x = 10 m∠3 = 74
Step-by-step explanation:
(10x + 6) + (7x + 4) = 180 degrees
17x + 10 = 180
17x = 170
x = 10
check answer
(10(10) + 6) + (7(10) + 4) = 180
106 + 74 = 180
180 = 180
true!
angle 5 is vertical angles with 3, so they are congruent
use same equation as 5
7(10) + 4
70 + 4
74 :)
The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.
The table shows the same relationship for Jaleel's brownie recipe.
Jaleel and Angela buy a 12-cup bag of sugar and divide it evenly to make their recipes.
If they each use ALL of their sugar, how much FLOUR do they each need?
Answer:
Angela needs 3 cups of flour, Jaleel 4
Step-by-step explanation:
Both get 6 cups of sugar when they divide it even. Then you set 6 for x and "solve" for y.
For Angela you can read the number from the graph, y = 0,5x
Angela needs a half cup of flour per whole cup of sugar.
Jaleel: get 6 cups of sugar too, you can easily double the cups from the table, which means 4 cups of flour with 6 cups of sugad
Solve. 3w-4z=8 solve. 2w+3z=-6
a)w=-3 b) w=0 c) w=4 d) w=-2
z=0 z=-2 z=1 z=0
The solution to the system of equations is w = 0 and z = -2
Given equations are 3w - 4z = 8 ...(1)
2w + 3z = - 6 ...(2)
By multiplying the first equation by 3 and the second equation by 4, we get:
9w - 12z = 24 ...(3)
8w + 12z = -24 ....(4)
Adding equation (1) and (2)
17w + 0 = 0
w = 0
Putting the value of w in first equation
3(0) - 4z = 8
- 4z = 8
z = - 2
Therefore, the solution to the system of equations is w = 0 and z = -2
Learn more about equations here
https://brainly.com/question/11720294
#SPJ4
Which of these numbers is not larger than -2 on a number-line?
(a) 0
(b) -1
(c) 5
(d) -3
Answer:
D is correct.
0 is greater than -2.
-1 is greater than -2.
5 is greater than -2.
-3 is smaller than -2.
Hope this helps!
1) Find the value of x and y
X
15
78
10
Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.
What are the values of x and y?To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.
Applying law of cosine;
x² = 15² + 10² - 2(15)(10)cos78
x² = 225 + 100 - 300cos78
x² = 225 + 100 - 62.4
x² = 262.6
x = √262.6
x = 16.2 units
From this, we can apply law of sine to determine y;
x / sin X = y / sin Y
Substituting the values into the formula above;
16.2 / sin78 = 10 / sin y
Cross multiply both sides and solve for y;
16.2siny = 10sin78
sin y = 10sin78 / 16.2
sin y = 0.6038
y = sin⁻¹ (0.6038)
y = 37.14°
Learn more on law of sine here;
https://brainly.com/question/30401249
#SPJ1
a student has a 73% of being let out of class late. if he leaves class late. if he leaves class late, there is a 23% chance that he will miss his train. what is the probability that he gets out of class late and misses the train?
Answer:
16.79 %
Step-by-step explanation:
hythjuuhhhjuhhhh
Suppose the population of a town is 8,200 and is growing 4% each year, what is the population expected to be in 10 years
Answer:
12,138 people
Step-by-step explanation:
Create an equation using the basic exponential growth equation:
y = a(1 + r)^t, where a is the initial amount, r is the growth rate as a decimal, and t is the amount of time in years.
Plug in the values we know
y = a(1 + r)^t
y = 8200(1 + 0.04)^10
y = 8200(1.04)^10
= 12,138 people
A politician claims that a larger proportion of members of the news media are Democrats when compared to the general public. Let p1 represent the proportion of the news media that is Democrat and p2 represent the proportion of the public that is Democrat. What are the appropriate null and alternative hypotheses that correspond to this claim
Answer:
\(H_{o}\): Larger proportion of news media = democrats
Ha : Large proportion of news media \(\neq\) democrats
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
Nina purchased 4 pounds of strawberries for a total of $6.40.How much did she pay for one pound of strawberries?
Answer:
1.6$
Step-by-step explanation:
6.4/4=1.6
Find the volume of the rectangular prism that has a width of 3 cm, a length of 8cm, and a hight of 7cm
Answer:
V = 168 cm^3
Step-by-step explanation:
L length - 8cm
W width - 3 cm
H height - 7 cm
V = w h l (Right rectangular prism)
(1 + 15 ➗ 5 + 3) evaluate each expression
Answer:
1+15 / 5+3
we know 1+15 is 16
and 5+3 is 8
therefore; we get
16 / 8
2 is the answer
What is the simplified form of StartRoot 64 x Superscript 16 Baseline EndRoot? 8x4 8x8 32x4 32x8
Answer:
8x4
Step-by-step explanation:
i got you
big brain
Answer:
8x(8)
Step-by-step explanation:
Explain how recapturing a higher percent of marked alligators affects the estimated total population
Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.
What is Population?This is referred to as the total number of species or organisms in an area at a given period of time.
Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.
Read more about Population here https://brainly.com/question/25896797
#SPJ1
Perform the calculation and record the answer with the correct number of significant figures. (34.123 + 1.70)/(98.7654 - 2.565)
The calculation and record the answer with the correct number of significant figures. The final answer is 0.3724, accurate to four significant figures.
When performing calculations with significant figures, it is important to consider the precision of the numbers involved. In this case, we are adding 34.123 and 1.70, which gives us 35.823. The subtraction of 2.565 from 98.7654 gives us 96.1994.
To find the final result, we divide 35.823 by 96.1994, resulting in 0.372352. However, we must round the answer to the appropriate number of significant figures. Since 2.565 has the least number of significant figures (four), we round our answer to four significant figures as well.
Performing the calculation, we have:
(34.123 + 1.70) = 35.823
(98.7654 - 2.565) = 96.1994
Dividing the sum by the difference, we get:
35.823 / 96.1994 = 0.372352
Considering significant figures, we look at the least precise number, which is 2.565, with four significant figures. Therefore, our final answer should also have four significant figures.
Rounding the result to four significant figures, the answer is 0.3724.
Learn more about significant figures here:
https://brainly.com/question/29153641
#SPJ11.
An arts academy requires there to be 4 teachers for every 100 students and 5 tutors for every 60 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 144 standents?
Answer: 25 students per teacher and 12 students per tutor. They need 2.4 tutors for the school
5
(a)
The inequality y>-2z+6
has a y-intercept of ___?
a slope of ?
and ?
we should use a ? Line
and shaded ? Line .
(b) Graph the solutions to the linear inequality: y> -2x+6
Use the "Line" tool to click on two points to create a line
Use the "Dashed" tool to click on one of the points to switch between solid and
dashed lines
Use the "Area" tool to select the region you'd like to shade
The slope is 2 and the y-intercept is 6.
Given that an inequality y > -2x + 6, we need to graph it,
and determine the slope and the y-intercept of the same,
To determine the slope and y-intercept of the inequality y > -2x + 6, we can first rewrite it in the form of y = mx + b, where m represents the slope and b represents the y-intercept.
The given inequality can be rewritten as an equation by changing the inequality sign to an equal sign:
y = -2x + 6
Comparing this equation with the standard form y = mx + b, we can identify the slope and y-intercept:
The slope (m) is the coefficient of x, which is -2.
The y-intercept (b) is the constant term, which is 6.
Therefore, the slope of the equation y > -2x + 6 is -2, and the y-intercept is 6.
To graph the inequality y > -2x + 6, we'll start by graphing the corresponding equation y = -2x + 6.
Then, we'll determine which side of the line represents the solution to the inequality.
Graph the equation y = -2x + 6:
To plot the line, we'll need to find two points on it.
We can do this by assigning values to x and solving for y.
Let x = 0:
y = -2(0) + 6
y = 6
So, one point on the line is (0, 6).
Now, let's choose x = 3:
y = -2(3) + 6
y = 0
Another point on the line is (3, 0).
Plotting these two points, we can draw a straight line through them:
Determine the side of the line representing the solution:
Since the inequality is y > -2x + 6, we want to shade the area above the line.
Using a dashed line to represent the equation y = -2x + 6, we shade the region above the line to indicate y > -2x + 6
Learn more about inequality click
brainly.com/question/20383699
#SPJ1
A farmer has a land of 500m length and 300m breadth. It was near to a forest area. He wished to make a fence to be secured from the wild animals. To make the fence the cost is estimated as Rs.20 per metre. In his land he planned to dig a well in 3m radius. He wished to build a farm house in 20mx30m and a path of 5m width inside the land around it. i) Draw a rough figure of the land, fence, farm house, well and path ii) Find the cost of fencing iii) Find the area of the land remaining for farming
ii) the cost of fencing the land is Rs. 32,000. iii) the area of the land remaining for farming is 150,000 sq.m - 600 sq.m - 1200 sq.m - 9π sq.m.
i) Here is a rough figure depicting the land, fence, farm house, well, and path:
_________________________________________
| |
| |
| Farm House (20m x 30m) |
| |
| |
| |
| |
|_________________________________________|
| Path (5m width) |
| |
| |
| |
| |
| |
| |
|_________________________________________|
| |
| |
| |
| Well |
| |
| |
| |
|_________________________________________|
| |
| |
| |
| |
| |
| |
| |
|_________________________________________|
ii) The cost of fencing can be calculated by finding the perimeter of the land and multiplying it by the cost per meter. The perimeter of a rectangle is given by the formula P = 2(length + breadth).
Perimeter = 2(500m + 300m) = 2(800m) = 1600m
Cost of fencing = Perimeter * Cost per meter = 1600m * Rs.20 = Rs. 32,000
Therefore, the cost of fencing the land is Rs. 32,000.
iii) The area of the land remaining for farming can be calculated by subtracting the area of the farm house, the path around it, and the well from the total area of the land.
Area of the land = Length * Breadth = 500m * 300m = 150,000 sq.m
Area of the farm house = Length * Breadth = 20m * 30m = 600 sq.m
Area of the path around the farm house = (Length + 2width) * (Breadth + 2width) = (20m + 25m) * (30m + 25m) = 30m * 40m = 1200 sq.m
Area of the well = π * radius^2 = π * (3m)^2 = 9π sq.m
Area remaining for farming = Area of the land - Area of the farm house - Area of the path - Area of the well
= 150,000 sq.m - 600 sq.m - 1200 sq.m - 9π sq.m
Therefore, the area of the land remaining for farming is 150,000 sq.m - 600 sq.m - 1200 sq.m - 9π sq.m.
Learn more about cost here
https://brainly.com/question/2292799
#SPJ11
helpppppp me pleasee
Answer:
the volume would be 84
Step-by-step explanation:
multipacation
Calculate the perimeter of the composite figure. Round your answer to the nearest hundredth. Use 3.14 for $\pi$ .
th sides are 8 and 10
1. Perimeter is 3 + 3 +3 +4 +5 = 18 feet
Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet
2. perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters
Area = 3*.5 = 1.5, 3*2=6, 6+1.5 = 7.5 square meters
3. perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches
Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 52.3 inches
4. surface area = 2*π*6*20+2*π*6^2= 980.2 yards
Volume = π*6^2*20 = 2261.9 cubic yards
5.surface area = 2*(9*7+2*2+2*9) = 190 cm
Volume = 2*7*9 = 126 cubic cm
6. surface area = 2*(11*11+11*11+11*11) = 726 mm
Volume = 11 *11*11 = 1331 cubic cm
For box plot data where Q1 = 200, Q2 = 250, and Q3 = 290, the
IQR
The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.
Given that,
For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290
We have to find the data of IQR.
We know that,
IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.
IQR Formula is Q₃ - Q₁
So,
Q₃ = 290
Q₁ = 200
Then ,
IQR = Q₃ - Q₁
IQR = 290 - 200
IQR = 90
Therefore, The value of IQR is 90.
To know more about IQR visit:
https://brainly.com/question/31207390
#SPJ4
Childe, needs help please
will give brainlest!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Ok! Thx!! (btw there is no question)
Answer:
Thx!! but there's no question!!!
Given that 8 x − 3 y = 36 Find x when y = 3 Give your answer as an improper fraction in its simplest form.
Answer:
5.62
Step-by-step explanation:
8x-3y=36
8x-3×3=36
8x=36+9
x=5.62
Answer:
x= 45/8
Step-by-step explanation:
8x - 3y = 36
8x - 3(3) = 36
8x - 9 = 36
8x=45
x=45/8
Which is the graph of y=(-2x)^2 +2
Answer:
Step-by-step explanation:
you run a one-sample z test (z.test) in excel and get the following result: 0.7326 what does the output of 0.7326 represent? group of answer choices the sample value the critical value the one-tailed probability value the significance level
The output of 0.7326 represents the test statistic (Z-score) computed from the 1-sample Z-test in Excel.
It tells you how many standard deviations the sample mean is from the population mean under the null hypothesis.
A test statistic (Z-score) is a numerical value used in statistical hypothesis testing to assess the evidence against the null hypothesis.
A test statistic measures the difference between a sample statistic (eg sample mean) and the corresponding population parameter (eg population mean) assuming the null hypothesis is true.
For the Z-test, the test statistic is computed as
z = (x - μ) / (σ / √n)
where x = sample mean,
μ = population mean,
σ= population standard deviation,
and n = sample size.
The resulting Z-score indicates how many standard deviations the sample mean is from the population mean, assuming the null hypothesis is true.
learn more about test statistics (Z-score)
brainly.com/question/30792829
#SPJ4
Find 3 1/4 - 4 1/2 show your work!
Answer: 3 1/4 + 2 1/3 = 67/
12
= 5 7/
12
≅ 5.5833333
Step-by-step explanation:
What decimal number does the bit pattern 0 × 0C000000 represent if it is a two’s complement integer? An unsigned integer?
The bit pattern 0x0C000000 represents the decimal number 201326592 when interpreted as both a two's complement integer and an unsigned integer.
To determine the decimal representation of the bit pattern 0x0C000000, we need to consider whether it is interpreted as a two's complement integer or an unsigned integer.
If the bit pattern is interpreted as a two's complement integer, we follow these steps:
Check the most significant bit (MSB). If it is 0, the number is positive; if it is 1, the number is negative.
In this case, the MSB of the bit pattern 0x0C000000 is 0, indicating a positive number.
Convert the remaining bits to decimal using the positional value of each bit. Treat the MSB as the sign bit (0 for positive, 1 for negative).
Converting the remaining bits, 0x0C000000, to decimal gives us 201326592.
Therefore, if the bit pattern 0x0C000000 is interpreted as a two's complement integer, it represents the decimal number 201326592.
If the bit pattern is interpreted as an unsigned integer, we simply convert the entire bit pattern to decimal.
Converting the bit pattern 0x0C000000 to decimal gives us 201326592.
Therefore, if the bit pattern 0x0C000000 is interpreted as an unsigned integer, it represents the decimal number 201326592.
To know more about integers click here
brainly.com/question/10930045
#SPJ11
A circle has a circumference of 7{,}8507,8507, comma, 850 units. What is the radius of the circle?
Use 3. 14 for pi and enter your answer as a decimal
Find the distance between the points(5, 7) and (5, -4) . Pelas Help
Answer: 11
Step-by-step explanation:
Use distance formula: \(\sqrt{(x_1 - x_2)^2 + (y_2 - y_1)^2\\}\)
5 - 5 = 0
7 - - 4 = 7 + 4 = 11
\(\sqrt{11^2} = 11\)
SOMEBODY HELP ITS 30 POINTS
The distance in miles a car travels over time in minutes is shown in the table.
Distance (miles)
Time (minutes)
10
15
20
30
30
45
40
60
Kwame is not sure whether to use a line graph or a line plot to display the data. Which best explains which graph is a better representation of the data?
The line graph because it shows how the number of miles increases over the number of minutes.
The line graph because the numbers in the data table are equally spaced.
The line plot because numbers can be plotted on a number line.
The line plot because there are only a few data points.
Answer:
The line graph because it shows how the number of miles increases over the number of minutes.
Step-by-step explanation:
ake it or leave it
The best explanation graph is a better representation of the data below: "The line graph because it shows how the number of miles increases over the number of minutes."
What is a graph?A graph can be defined as a visual representation or a diagram that represents data or values.
The distance in miles a car travels over time in minutes is shown in the table.
Distance (miles) Time (minutes)
10 15
20 30
30 45
40 60
A line graph is a good choice for representing data that show a change in value over time. In this case, the value being measured is the distance in miles traveled, and the time is being used as the variable. A line graph is a good choice because it can show the change in distance over time, which is what the data represents.
Hence, the correct answer would be an option (A).
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ2
help i keep getting it wrong :(
Answer: 65.4
V = pi r^2 h/3
V = pi (2.5^2) (10/3)
V = pi (6.25) (3.33)
V = 65.4
Answer:
\(v = \pi {r}^{2} \frac{h}{3} = {2.5}^{2} \times 3.14 \times \frac{10}{3} = 65.416\)