Answer:
[tex]17860[/tex]
Step-by-step explanation:
To answer this, let's recall a few properties of summations:
[tex]\sum_{i=0}^{n}(a_i+b_i)=\sum_{i=0}^{n}a_i+\sum_{i=0}^{n}b_i\\\\ \sum_{i=0}^{n}(c*a_i)=c*\sum_{i=0}^{n}(a_i)\\\\ \sum_{i=0}^{n}(c)=(n+1)*c[/tex]
With these in mind, we can rewrite the given summation as follows:
[tex]\sum_{n=0}^{75}(6n+10)=\sum_{n=0}^{75}6n+\sum_{n=0}^{75}10=6*\sum_{n=0}^{75}n+76*10\\\\ =6*\frac{75*76}{2} +760=3*75*76+760=17860[/tex]
PLS HELP!! :))
How many faces, edges, and vertices does this figure have?
Answer: 5 faces,8 edges,5 vertices
Step-by-step explanation:5 faces - of which 1 is a square face at the base and 4 isosceles triangle, above.
5 vertices - of which 4 are at the base where 3 edges meet and one above where 4 edges meet.
8 edges - of which 4 are equal in length and at the base and the other 4 are equal in length and above.
In 2015, there were 310 rats that were counted living in a park outside of New Haven, CT. The town laid out traps to exterminate the rats and the population decreased by 70%. How many rats can be anticipated in the park now?
93 rats can be anticipated in the park now.
In 2015, there were 310 rats that were counted living in a park.
the rats and the population decreased by 70%
percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.
Since rat decreased by 70 %,
= 310 x 70 / 100
= 217
Now the decrease in rats = 310 - 217
anticipated rats in the park = 93
Thus the 93 rats can be anticipated in the park now.
Learn more about percentage here:
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Section: 4: Interpret:
Which of the following statements are TRUE for the child dependency ratio for the Midwest region?
Select all that apply
OA. There are approximately 30 children for every 100 workers in the Midwest region.
OB. There are 298 children for every 1000 workers in the Midwest region.
C. 29.8% of the workers are children in the Midwest region.
D. 29.8% of the people are children in the Midwest region.
E. There are 298 children for every 1000 people in the Midwest region.
OF. None of the above statements is true.
Which of the following statements are TRUE for the old-age dependency ratio for the Midwest region?
Select all that apply
A. There are approximately 20 elderly for every 100 people in the Midwest region.
B. 19.7% of the workers in the Midwest region are elderly.
C. There are 197 elderly for every 1000 people in the Midwest region.
D. There are 197 elderly for every 1000 workers in the Midwest region.
OE. 19.7% of the people in the Midwest region are elderly,
OF. None of the above statements is true.
Which of the following statements are TRUE for the age dependency ratio for the Midwest region?
Select all that apply
OA. There are approximately 50 dependents for every 100 workers in the Midwest region.
OB. For every 1000 people in the Midwest region there are 495 dependents.
C. 49.5% of the workers in the Midwest region are dependent.
OD. 49.5% of the people in the Midwest region are dependent.
E. Approximately 50 workers in the Midwest region are dependent.
F. For every 1000 working people in the Midwest region there are 495 dependents.
O G. None of the above statements is true,
Section: 5: Extend:
The measures of the angles of a triangle are in the extended ratio of 3:7:10. What is the measure of the LARGEST angle?
pls help me quick
9514 1404 393
Answer:
90°
Step-by-step explanation:
The ratio of the largest angle to the total is ...
10/(3+7+10) = 10/20 = 1/2
The largest angle is half the total of all angles:
1/2×180° = 90° . . . . measure of the largest angle
2/3 x 6 + 2/3 x 1
2/3 is a fraction
Answer:
5 and 1/9
Step-by-step explanation:
(2/3 × 6) + (2/3 × 1 and 2/3)
4 + 1 and 1/9 = 5 and 1/9
The images show further explanation:
..............................................help
Answer:
Its C
Step-by-step explanation:
Pretty ez since 8 divided by 12 is 2/3 or you just simply simplify it.
Answer:
C. 2/3
I promise this is right.
explain how to solve. g ÷ 4 = 24
[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]
[tex]g/4 = 24 // - 24\\g/4-24 = 0\\1/4*g-24 = 0 // + 24\\1/4*g = 24 // : 1/4\\\g = 24/1/4\\g = 96\\g = 96[/tex]
[tex]- Yaoii[/tex]
Answer:
g = 96
Step-by-step explanation:
Rewrite : g ÷ 4 = 24
Write the division as a fraction : 1/4g = 24
Multiply both sides : 1/4g = 24
Multiply both sides of the eqaution by 4 :
g = 96
Final answer g = 96
What is the approximate volume of the cylindrical cup? Use 3.14 for n.
Answer:
The answer is....
The volume of a cylinder is 2462 feet³.
Please give Brainly
Step-by-step explanation:
Answer:
37.68 cubic inches
Step-by-step explanation:
V=pi*r^2*h
V=3.14*2^2*3
What is the value of 4)1/8 divided by 5)1/2
Answer:
I'm assuming that you meant to type: The question is x/5=1/2+1/8 ; X= ?
If so, we're solving for x.
x/5 = 1/2 + 1/8
2 is a factor of 8, so let's start with common denominators.
x/5 = 1/2 *(4/4) + 1/8
x/5 = 4/8 + 1/8
x/5 = 5/8 As long as we just need to know the value of x, let's use inverse operations.
x/5 *5 = 5/8 *5
x = 25/8 or 3.125
Name a plane parallel to plane CIJ
A. Plane AFL
B. Plane AFD
C. Plane IJL
D. Plane BCI
Answer:
i think its c
Step-by-step explanation:
HELP ME DO THIS PLZ
Answer:
It landed at a height of 14 feet
Step-by-step explanation:
Given
[tex]y = -\frac{1}{8}x^2 +4x[/tex] --- Path of a t-shirt
[tex]3y = 2x - 14[/tex] --- height of bleachers
Required
Height when t-shirts land in bleachers
[tex]3y = 2x - 14[/tex]
Make y the subject
[tex]y = \frac{2}{3}x - \frac{14}{3}[/tex]
Substitute [tex]y = \frac{2}{3}x - \frac{14}{3}[/tex] in [tex]y = -\frac{1}{8}x^2 +4x[/tex]
[tex]\frac{2}{3}x - \frac{14}{3} = -\frac{1}{8}x^2 +4x[/tex]
Multiply through by 24
[tex]16x- 112 = -3x^2 +96x[/tex]
Express as:
[tex]3x^2 + 16x -96x- 112 = 0[/tex]
[tex]3x^2 -80x- 112 = 0[/tex]
Using a calculator:
[tex]x = 28[/tex] or [tex]x = -\frac{4}{3}[/tex]
x can not be negative:
So:
[tex]x = 28[/tex]
Substitute [tex]x = 28[/tex] in [tex]y = -\frac{1}{8}x^2 +4x[/tex] to calculate the height it landed
[tex]y = -\frac{1}{8} * 28^2 + 4 * 28[/tex]
[tex]y = 14[/tex]
estimate to find the quotient if 823 divided by 23
Answer:
Step-by-step explanation:
35.7826087
I'm guessing you want it estimated to the nearest tenth so 35.8
3. What are the domain and range of (x) = 4* ?
Domain:
Range:
que alguien me ayude cuanto hace q yo sali de escuela
Answer:
a=20 m²
b=21 cm²
c=36 dm²
Step-by-step explanation:
A) 12²+16²=a²
144+256=a²
400=a²
√400=a
a=20
B) 28²+b²=35²
784+b²=1225
b²=1225-784
b²=441
b=√441
b=21
C) c²+15²=39²
c²+225=1521
c²=1296
c=√1296
c=36
Please help due soon.
(No Links Allowed)
Answer: x = 5, x = -5 If you need more....
x = [tex]5^{1}[/tex]
x = [tex]\sqrt{25}[/tex]
solve the equation a/a^2-9 +3/a-3=1/a+3
can sb help me wit dis ?
Answer:
x=55 degrees
DOE = 117 Degrees
Step-by-step explanation:
You know EOF is equal to COD so you can say
x+8=63
x+8-8=63-8 (subtract 8 from both sides)
x=55 degrees
Next
63 and DOE add up to 180
DOE = 180-63
DOE = 117 Degrees
Explain how to use models to divide 2.1 by 0.7
Answer:
3
Step-by-step explanation:
surface area of rectangular prism
Answer:
1. 10
2.96
3.252
4.16
5.105
6.90
Step-by-step explanation:
in the diagram, which pair of angles are corresponding angles?
A. 1 and 8
b. 4 and 6
c. 3 and 7
d. 2 and 4
What is the discriminant of -x^2+2x+12=0
Answer: The solutions of the equation is [2+2⋅13−−√2;2−2⋅13−−√2]
Step-by-step explanation:
I need help please?????!!!
Use slopes and y-intercepts to determine if the lines -3x – 3y = 1 and -3x – 4y = 5 are parallel.
Answer:
they are not parallel
Step-by-step explanation:
Given the equations -3x – 3y = 1 and -3x – 4y = 5
Get the slope of each line
REwrite in the form y = mx+c
For the line -3x-3y = 1
-3y = 3x + 1
y = 3x/-3 + 1/-3
y = -x - 1/3
Slope m = -1
For the line -3x - 4y = 5
-4y = 3x + 5
y = -3/4 x - 5/4
Slope of the line is -3/4
Hence since both lines have different slopes, they are not parallel
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
[tex]fg^{2} - g =[/tex] -42
Step-by-step explanation:
[tex]fg^{2} - g[/tex]
f = -1
g = 6
substitute the numbers for the letters:
[tex](-1) (6^{2}) - 6[/tex]
[tex](6^{2}) = 36[/tex]
new equation:
-1 x 36 - 6
-36 - 6
= -42
Graph triangle RST with vertices R(3, 7), S(-5, -2), and T(3, -5) and its image after a reflection over x = -3.
Given:
The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).
To find:
The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.
Solution:
If a figure reflected across the line x=a, then
[tex](x,y)\to (-(x-a)+a,y)[/tex]
[tex](x,y)\to (-x+a+a,y)[/tex]
[tex](x,y)\to (2a-x,y)[/tex]
The triangle after a reflection over x = -3. So, the rule of reflection is
[tex](x,y)\to (2(-3)-x,y)[/tex]
[tex](x,y)\to (-6-x,y)[/tex]
The vertices of triangle after reflection are
[tex]R(3,7)\to R'(-6-3,7)[/tex]
[tex]R(3,7)\to R'(-9,7)[/tex]
Similarly,
[tex]S(-5,-2)\to S'(-6-(-5),-2)[/tex]
[tex]S(-5,-2)\to S'(-6+5,-2)[/tex]
[tex]S(-5,-2)\to S'(-1,-2)[/tex]
And,
[tex]T(3,-5)\to T'(-6-3,-5)[/tex]
[tex]T(3,-5)\to T'(-9,-5)[/tex]
Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).
The sum of 43 and z is equal to 72.98. Enter the equation that represents the description.
sum is an answer to an addition problem, so we have to add 43 and z. z+43=72.98
Subtract 43 on both sides.
z=29.98
---
hope it helps
Answer:
43 + z = 72.98
Step-by-step explanation:
Sum meaning add the two (or more numbers together) we get 43+ z = 72.98
If you're trying to find "z" simply subtract 43 from 72.98 to get 29.98 as z
Using traditional methods, it takes 95 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6. A level of significance of 0.01 will be used to determine if the technique performs differently than the traditional method. Is there sufficient evidence to support the claim that the technique performs differently than the traditional method
Answer:
There is not sufficient evidence to support the claim that the technique performs differently than the traditional method.
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 95[/tex]
The alternate hypotesis is:
[tex]H_{1} \neq 95[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6.
This means, respectively, that [tex]n = 260, X = 94, \sigma = 6[/tex]
The test-statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{94 - 95}{\frac{6}{\sqrt{260}}}[/tex]
[tex]z = -2.69[/tex]
The pvalue is:
2(P(Z < -2.69))
P(Z < -2.69) is the pvalue of Z when X = -2.69, which looking at the z-table, is 0.0036
2*(0.0036) = 0.0072
0.0072 < 0.01, which means that the null hypothesis is accepted, that is, there is not sufficient evidence to support the claim that the technique performs differently than the traditional method.
Find the circumference of the circle below
Which property of equality would you use to solve the following equation? W/5=10
Answer:
Multiplication property of equality because we need to multiply both sides by 5 to get rid of the denominator, so we get w = 50.
Hope this helps and brainliest please
Answer:
You would use the multiplication property of equality and by using that you get W=50.
Pls help 30 points 7th grade math