Answer:
[tex]S_{1000}=500500[/tex]
Step-by-step explanation:
[tex]\displaystyle S_n=\frac{n(a_1+a_n)}{2}=\frac{1000(1+1000)}{2}=500*1001=500500[/tex]
X 1 3 5 7
у -9 -17 -25 -33
find the equation of the linear function represented by the table in slope intercept form
The equation of the linear function represented by the table in slope intercept form is y = -4x - 5.
What is slope-intercept form?
The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
Given two points (x,y), the slope is the change in y divided by the change in x.
The points are (1,-9) and (3,-17) -
m = (y2-y1)/(x2-x1)
m = [-17-(-9)]/(3-1)
m = -8/2
m = -4
Then the slope equation will be -
y = -4x + b
Taking points (1,-9) and substituting in the equation to get the value of b -
-9 = -4(1) + b
-9 = -4 + b
-9 + 4 = b
b = -5
Therefore, the slope intercept form of equation is y = -4x - 5.
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simplifica la expresion 3(6-2)+4³÷8_3²=
Answer:
la ma espole
Step-by-step explanation:
Answer:
11................. ..............
A circular pool has a footpath around the circumference. The equation x2 + y2 = 2,500, with units in feet, models the
outside edge of the pool. The equation x2 + y2 = 3,422.25, with units in feet, models the outside edge of the footpath.
What is the width of the footpath?
8.5 ft
17 ft
O 30 ft
O 58.5 ft
Answer:A. 8.5 ft
Step-by-step explanation:
edge2021
The width of the footpath is 8.5 feet.
What is radius in a circle?Radius of a circle is the distance from the center of the circle to any point on it's circumference.
given equation is :x² + y² = (r)²
We have for the pool:
x² + y² = 2500 or x² + y² = (50)²
So, for the outside edge of the footpath
x² + y² = 3422.25 or x² + y² = (58.5)²
So, we find the radius of each circumference
For the outside edge of the poolr₁ = 50 feet
For the outside edge of the footpathr₂ = 58,5 feet
Then the width of the footpath is58,5 - 50 = 8,5 feet
Thus, width of the footpath is 8.5 feet.
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hey any help? (please make sure this is correct i'd appreciate it)
Answer:
Below
Step-by-step explanation:
Line AB is of the form y = mx + b where m is the slope = 2
Line BC is perpendicular to this and will have slope - 1/m = - 1/2 and includes the point C (0,6)
The point slope form of line BC will then be
( y-6) = - 1/2 ( x - 0) which can be re-arranged to
y = - 1/2x + 6 < ==== equation for line BC
what is 3 3/4 - 1 1/4?
Answer:
2 2/4 or 2 1/2
Step-by-step explanation:
3-1=2
3/4-1/4=2/4
2/4=1/2
A store sells the basic model of a phone for $60 and the upgraded model for $200. It costs the store $10 to buy each basic model and $50 to buy each upgraded model from the phone company. On Tuesday, the store has $1,800 in sales for these two models, and it paid the phone company $400 to buy these phones. How many upgraded models did the store sell on Tuesday?
6 upgraded phones
10 upgraded phones
15 upgraded phones
42 upgraded phones
Answer:
Step-by-step explanation:
C.) 15 upgraded phones
The triangles shown are similar. Which similarity statement expresses the relationship between the two triangles?
Answer:
C
Step-by-step explanation:
if you got this answer ED 2022
Teddy works part-time in the Sony Store. He has a base salary of $12.50/h plus a commission of 12% of the total sales he makes.
If Teddy works 10 hours and sells $1500 electronics, how much will he earn this week?
Answer: $305
Step-by-step explanation:
1) 12.50 multiplied by 10= 125
2) 12% of 1500 is 180
3) 125+180=305
Answer the problem in the photo below! Please answer simply:)
Answer:
32
Step-by-step explanation:
Let's start with x to the third power. x=4 So that would be 4 to the third power. that would be 4x4=16. 16x4=64. So that would be 1/2*64. That equals 32
Determine how many tablets, capsules, or ml to give to the patient. Answers should be either expressed as 1/2 tablets or rounded to the nearest whole tablet.
Ordered: Voltaren 450 mg
Label reads: Voltaren 150 mg tablets
How many tablet(s) should you give?
Answer: We know that the order from the doctor is 450mg
The stock available has a value of 150mg
Order/Available stock=450mg/150mg=3 tablets
Step-by-step explanation:
Special right triangles.
Find u.
Please help due in 30 min!!
Answer:
2 km
Step-by-step explanation:
use the 45-45-90 triangle formula to find u.
The cost c in pounds of hiring a van for d days is given by the formula c=10+45d work out the cost for 5 day
The cost c in pounds of hiring a van is 235
The cost c in pounds for 1 day =45
Then cost c in pounds for five days is c=10+45d
Which is multiple 5 days to the 45
5 x 45 = 225
Add the 10 to the answer
225 + 10 = 235
The cost of a van hiring for number of days is 5
Then the final answer for cost c in pounds of hiring a van for five days are 235
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Are The Numbers 16,64,18 and 72 In Proportion
Answer: Yes.
Step-by-step explanation: They are in 1:4::1:4
Hope this helps
Answer:
Yes
Step-by-step explanation:
Are The Numbers 16,64,18 and 72 In Proportion?
A proportion is an equation in which two ratios are set equal to each other16 : 64 = 18 : 72
0.25 = 0.25
or
1/4 = 1/4
so your answer is yes
Evaluate the expression: 18-3(1+4)
Answer:
3
Step-by-step explanation:
Multiply 3*5
than calculate 18-15
you will get the solution 3
REMEMBER PEDMAS ( parentheses, expodents, divide, multiply, add and subtract
Solve the exponential equation. 1/16 = 64^4 x − 3
Answer:
x=7/12Step-by-step explanation:
1/16=64^4x-3
1/4^2=(4^3)^4x-3
4^-2=(4^3)^4x-3
4^-2=4^3*(4x-3)
Since the bases are equal (to 4), the exponents must be equal to each other.
-2=3*(4x-3)
-2=12x-9
-2+9=12x
7=12x
7/12=x
x=7/12
So the answer is x=7/12
Please mark me brainliest if this helped!
WHAT IS THE ANGLE MEASUREMENTS?? AND TELL ME HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answer:
18,72,90
Step-by-step explanation:
Let the measure of /_M be 'x'. As reported,
/_N is 5 times of x = 5x
/_O is 4 times of x = 4x
In any ∆, sum of interior angles is 180°.
=> /_M + /_O + /_N = 180
=> x + 4x + 5x = 180
=> 10x = 180
=> x = 180/10 = 18
Angles are x = 18°
4x = 4(18°) = 72°
5x = 5(18°) = 90°
evaluate 6²-2(5+1+3)
Answer:
18
Step-by-step explanation:
36-10-2-6
26-8
18
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6^2 - 2(5 + 1 + 3)}\\\mathsf{= 6^2 - 2(5) - 2(1) - 2(3)}\\\mathsf{= 6^2 - 10 -2(1) - -2(3)}}\\\mathsf{= 6\times 6 - 10 - 2(1) - 2(3)}\\\mathsf{= 36 - 10 - 2(1) - 2(3)}\\\mathsf{= 26 - 2(1) - 2(3)}\\\mathsf{= 26 - 2 - 2(3)}\\\mathsf{= 24 - 2(3)}\\\mathsf{= 18}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{18}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
When Yosef was born, his parents put $1000 into a savings account that earns 4%
interest each year. How much will be in the account when he is 21?
Answer:
$840 interest
Step-by-step explanation:
4% of 1000 is 40
40•21= 840
If you are adding the interest rate and the $1000 together then you get $1840
Hope this helps
i love yall thx for helping
Answer:
A is the answer check once before you submit
Step-by-step explanation:
No need to say thank
The temperature at a mountain cabin on
Saturday morning measured -12 degrees
Fahrenheit. The temperature decreased
another 8 degrees Saturday night. In
degrees Fahrenheit, what was the
temperature at the cabin Saturday night?
G-12 H 12
F -20
J -4
On Saturday night, the temperature at the mountain cabin decreased another 8 degrees from -12 degrees Fahrenheit, so the temperature at the cabin on Saturday night was -12 degrees - 8 degrees = -20 degrees Fahrenheit.
One bucket of gravel has a mass of 7.05 KG. What is the mass of 20 buckets of gravel in kilograms?
Is it either
A 14.1 KG
B 150 KG
C 27.05 KG
Or
D 141 KG
Answer:
D: 141 KG
Step-by-step explanation:
7.05 x 20 = 141
Just multiply the mass of the object by however many objects there are if they all weigh the same.
Which of the following is the solution to the inequality below?
-6(4- x) < -4(x + 1)
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3gVQKw3
17
i already did the test
Answer:
17
Step-by-step explanation:
I believe the answer is 17.
Simplify
17
=17
Now,
Consider point O at zero on the number line.
Mark a point A such at number 4 such that OA= 4
Draw a perpendicular AB at point A of unit length.
Join AB
Taking radius of length AB draw an arc to intersect the number line at C.
Finally, OC=\sqrt{17}
Thus proving the answer is 17 or [tex]\sqrt{289} = 17[/tex]
Which term below refers to events that all have the same probability of occurring?
(1) same chance occurrences
(2) equal probability events
(3) evenly divided happenings
(4) equally likely outcomes
The term below that refers to events that all have the same probability of occurring is; (2) equal probability events
What is the probability of occurrence?By definition, we can say that the probability of occurrence of an event is defined as the number of trials in which a particular event happened divided by the total number of trials.
Probability = number of trials in which event happened/total number of trials.
Now, when we say that all items have the same probability of occurring, what we simply mean is they all have equal chance of occurrence or they all have equal outcomes. For example when we flip a coin, we have equal chance of getting a head or tail.
Thus, the term that best defines the above would be Option 2.
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HELP ME!! PLEASE 10 POINTSSS
Answer:
The answer is 47°
Step-by-step explanation:
90°- 43°
Answer:
x = 47
Step-by-step explanation:
subtract 43 from 90
Why do owls get invited to parties?
Cuz they are funowls!
Answer:
theyre such a hoot!
Step-by-step explanation:
The graph of g(x) = f(x+4) is the graph of f(x) moved 4 units________
Answer:
to the left
Step-by-step explanation:
This looks backwards to some, but it's correct: replacing x with x + 4 in a function moves the graph 4 units to the left.
The reason?
Just suppose that f(6) = 7. To get f(x + 4) to equal 7, you have to use 2 as a value for x, 4 units less than the 6 that was used before.
See attached image for an example.
[tex]y=x^2[/tex] is the black graph
[tex]y=(x+4)^2[/tex] is the red graph
The volume of this sphere is 4500m³.
Find the length of the radius, r.
Answer:
[tex]r=\frac{15\sqrt[3]{\pi ^2} }{\pi }[/tex] meters
[tex]r=10.24[/tex] meters
Step-by-step explanation:
Here is the equation for the volume of a sphere
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
Lets solve for [tex]r[/tex].
Multiply both sides of the equation by [tex]\frac{1}{\frac{4}{3}\pi}[/tex].
[tex]\frac{1}{\frac{4}{3}\pi}(\frac{4}{3}*(\pi r^3))=\frac{1}{\frac{4}{3}\pi}V[/tex]
Simplify the left side.
Combine [tex]\frac{4}{3}[/tex] and [tex]\pi[/tex].
[tex]\frac{1}{\frac{4\pi }{3}}(\frac{4}{3}*(\pi r^3))=\frac{1}{\frac{4}{3}\pi}V[/tex]
Multiply the numerator by the reciprocal of the denominator.
[tex]\frac{3}{4\pi } (\frac{4}{3}*(\pi r^3))=\frac{1}{\frac{4}{3}\pi}V[/tex]
Cancel the common factor of [tex]\pi[/tex] by factoring it out of the first term.
[tex]\frac{3}{4} (\frac{4}{3}*r^3)=\frac{1}{\frac{4}{3}\pi}V[/tex]
Combine [tex]\frac{4}{3}[/tex] and [tex]r^3[/tex].
[tex]\frac{3}{4}*\frac{4r^3}{3}=\frac{1}{\frac{4}{3}\pi}V[/tex]
Multiply the numerators on the left side of the equation. Then multiply the denominators.
[tex]\frac{12r^3}{4*3}=\frac{1}{\frac{4}{3}\pi}V[/tex]
[tex]\frac{12r^3}{12}=\frac{1}{\frac{4}{3}\pi}V[/tex]
Cancel the common factor of 12.
[tex]r^3=\frac{1}{\frac{4}{3}\pi}V[/tex]
Simplify the right side.
Combine [tex]\frac{4}{3}[/tex] and [tex]\pi[/tex].
[tex]r^3=\frac{1}{\frac{4\pi }{3}}V[/tex]
Multiply the numerator by the reciprocal of the denominator.
[tex]r^3=\frac{3V}{4\pi }[/tex]
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
[tex]r=\sqrt[3]{\frac{3V}{4\pi } }[/tex]
Now we have an equation to find the radius.
Substituting our number for volume gives us
[tex]r=\sqrt[3]{\frac{3*4500}{4\pi } }[/tex]
Enter this into a calculator
[tex]\sqrt[3]{\frac{3*4500}{4\pi } }[/tex]
You can leave the answer in simplest radical form or as a decimal.
[tex]r=\frac{15\sqrt[3]{\pi ^2} }{\pi }[/tex]
[tex]r=10.24[/tex]
A rating/review would be much appreciated. Hope this helps!
Complete the following ordered pairs
(x,y) so that they satisfy the equation
5x+3y=15.
(-6,3)
(3,0)
( , -10)
(, 10)
Answer:(0,5
Step-by-step explanation:
Solve for x.
2x + 6
X + 9
x = [?]
Answer:
wheres the y
Step-by-step explanation:
Answer:
Solution given:
2x+6+x+9=180°[alternative exterior angle is a supplementary]
3x=180-15
x=165/3
x=55