Answer:
1026
Step-by-step explanation:
Common difference = d = 2nd term - first term
d = -3 - (-11) = -3 +11 = 8
First term = a = -11
First we need to find the number of terms in this series
[tex]a_{n} = 125\\\\a + (n- 1)d = a_{n}\\\\[/tex]
-11 + (n- 1) * 8 = 125
(n-1)*8 = 125 + 11
(n-1) * 8 = 136
n -1 = 136/8
n -1 = 17
n = 17+1
n = 18
[tex]S_{n} =\frac{n}{2}(a+a_{n})\\\\S_{18} =\frac{18}{2}(-11+125)\\\\[/tex]
= 9 * 114
= 1026
The expression 2x and x² have the same value for only two values of x. What are these values?
Answer:
0 and 2
Step-by-step explanation:
[tex]\text{Solve the system of equations:}\\\\\left \{ {{y=3x+5} \atop {y=-4x+7}} \right.\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
(0.286, 5.587)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
I have graphed the two equations in a program. When graphed, the lines intersect at point (0.286, 5.587). See the graph attached.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
Answer:
its the 2nd
Step-by-step explanation:
The graph showing common region to both inequalities represents the solution coordinates that satisfy both inequalities.
What is inequality in mathematics?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given are the following inequalities -
x – 4y < 4
y < x + 1
We have the following inequalities -
x – 4y < 4
y < x + 1
Inequality [1]
x - 4y < 4
x - 4 < 4y
4y > x - 4
y > x/4 - 1
Inequality [2]
y < x + 1
Refer to the graph attached. The common region to both inequalities represents the solution.
Therefore, the graph showing common region to both inequalities represents the solution coordinates that satisfy both inequalities.
To solve more questions on inequalities, visit the link below-
brainly.com/question/26434651
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Find the value of x. Write it as a decimal.
Answer:
68.5
Step-by-step explanation:
Arc ABE = 360 - 2x
Arc AE = 2x
half the difference between the two arcs is 43
43 = [tex]\frac{1}{2}[/tex] [360 -2x - (2x)]
In a scale model of a table, 1 centimeter represents 8 inches.
C
Scale
1 cm: 8 in
Answer the following.
?
(a) The height of the real table is 48 inches. What is the
height of the table in the scale model?
[centimeters
(b) In the scale model, the length of the table is 9
centimeters. What is the length of the real table?
inches
Answer:
(a): 6 centimeters
(b): 72 inches
Step-by-step explanation:
Rule: From centimeters to inches, multiply centimeters × 8
so from inches to centimeters, divide inches by 8
Scale:
1 cm : 8 in
? cm : 48 in
6 cm : 48 in
Scale:
? in : 9 cm
72 in : 9 cm
What are the coordinates of points E, F, and GS
A. E (2, 3), F (8,5), G (5,8)
B. E (3, 2), F (8,3), G (5,6)
C. E (3, 2), F (8,4), G (5,7)
D. E (3, 3), F (9, 4), G (6,7)
Answer:
its a i think
Step-by-step explanation:
Help! This is so hard!
1.4
2.8
3.7 by 10
*Others do by your self*
Step-by-step explanation:
1. 3×4/3= 4
2.⅖×20=8
3.6/5×7/18=7/15
4.10/7×9/5=18/7= 2 4/7. Mixed Fraction
5.4/15×25/8=5/6
6.6×¾= 9/2= 4 1/2. Mixed Fraction
help fast pls i need it
____ more than 3455 is two hundred seventy -eight thousand five hundred eighty three
Answer:
275,128
Step-by-step explanation:
"___ more than 3455" is the same as saying "___ added to 3455"
So it will look something like this:
___ + 3,455 = 278,583
Then rearrange the equation to use subtraction to solve it:
278,583 - 3,455 = ____
Plug it in the calculator or solve it by hand, and you have your answer!
(To double check, add 3,455 and 275,128, and you get 278,583)
Hope it helps (●'◡'●)
If < A and < B are a linear pair, and < A = 68 °, then < B = _____.
Select one:
a. 68 °
b. 112 °
c. 101 °
d. 90 °
Answer:
Option b, 112°
Step-by-step explanation:
<A+<B=180
or, 68+<B=180
or, <B=112
Answered by GAUTHMATH
A normal distribution has \mu = 65 and \sigma = 10. Find the probability that the average score of a group of n = 4 people is between 70 and 75 (both limits included).
Answer:
The probability that the average score of a group of n = 4 people is between 70 and 75=0.13591
Step-by-step explanation:
We are given that
[tex]\mu=65[/tex]
[tex]\sigma=10[/tex]
n=4
We have to find the probability that the average score of a group of n = 4 people is between 70 and 75.
[tex]P(70<\bar{x}<75)=P(\frac{70-65}{\frac{10}{\sqrt{4}}}<\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}<\frac{75-65}{\frac{10}{\sqrt{4}}})[/tex]
[tex]=P(\frac{5}{5}<Z<\frac{10}{5})[/tex]
[tex]=P(1<Z<2)[/tex]
[tex]=P(Z<2)-P(Z<1)[/tex]
[tex]=0.97725-0.84134[/tex]
[tex]=0.13591[/tex]
Hence, the probability that the average score of a group of n = 4 people is between 70 and 75=0.13591
Evaluate the function. f(x)=3x^2 −4x Find f(−1)
Answer:
7
Step-by-step explanation:
evaluate the function means substitute x=-1 and calculate
f(x) = 3x²-4x
f(-1) =f(x=-1) = 3(-1)²-4(-1) =3+4 =7, because (-1)²=1 and -4(-1) =4
Need help on this!! 10 points!!
Answer:
Step-by-step explanation:
The change of base formula is
[tex]log_a(b)=\frac{log_{10}b}{log_{10}a}[/tex] so filling in our given:
[tex]log_{13}}(297)=\frac{log_{10}297}{log_{10}13}[/tex] (Note: you do not have to put the base of 10 in the change of base formula because the "normal" base for a log is 10 and that is how your calculator figures it.)
Do this on your calculator to get
[tex]\frac{log297}{log13}=2.2198[/tex] Not sure how many decimal places you needed!
this is boring
this is hard
i hate stuff that relates to pie
its anouyuibng
ask a question. will try to help and make it
[tex]easy \: as \: \pi[/tex]
Can somebody help me please?!!
Answer:
Step-by-step explanation:
9/5C + 32 =59
I'm stuck on how to do this .. please help
Answer:
C= 15
Step-by-step explanation:
[tex] \frac{9}{5} C + 32 = 59 [/tex]
subtracting 32 from both sides
[tex] \frac{9}{5}C = 59 -32 [/tex]
[tex] \frac{9}{5} C = 27[/tex]
Dividing both sides by 9/ 5
[tex]C = 27 \times \frac{5}{9} [/tex]
[tex]C = 3 \times 5[/tex]
[tex]C = 15[/tex]
instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given
***I need help before it’s due**
SSS (side-side-side) requires that all three sides of the potentially congruent triangles be congruent.
Triangle WVU & Triangle UBW are our two triangles.
The middle line, UW and WU are congruent by the reflexive property, so that is not the information we need to prove SSS.
For SSS, we need to know that sides WV and UB are congruent.
Hope this helps!
Find the smallest number by which 2250 should be multiplied ,so that the product is a perfect square.
Answer:
10
Step-by-step explanation:
[tex]2250[/tex] = 2x5x5x5x3x3
therefore,2and 5 don't have a pair so , 2x5=10 .
So, the smallest number by which 2250 is 10
In MQN, m
a.
Solve for x. Show all work.
b. Find the measure of <1. Show all work.
Answer:
were is the problem
Step-by-step explanation:
16x7[(99-64)•2] PLEASE HELP!!!
Answer:
7840
Step-by-step explanation:
start with the (). 99-64 is 35. then 35 times 2 is 70. 16 times 7 (whats on the outside) is 112 and 112 times 70 is 7840
5. Nicholas bought a map of a city. It uses a scale of 1 inch to 8 miles.
Nicholas's house and school are 1/2 inches apart on the map. How far apart
would his house and school be on the map if the scale was 1 inch to 6 miles?
What’s the answer to this?
Scale is 1 inch to 6 mile.
So, ½ inch = 6 mile/2 = 3 mile
A boy spent 20% of his money on books and 20% of the remainder on food.If he had $2000 left, how much money did he have at first?
Answer:
[tex]\$3,125[/tex]
Step-by-step explanation:
Let [tex]s[/tex] represent the amount of money he initially started with.
After he spent 20% on books, he will have [tex]100\%-20\%=80\%[/tex] of his initial money left. We can represent this as [tex]0.8s[/tex].
Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have [tex]100\%-20\%=80\%[/tex] of the remainder of money he had left after he purchased the books. Therefore, he ends up with [tex]0.8(0.8s)=0.64s[/tex] of his money left.
Since we're given that he had $2,000 after all these transactions, we have the following equation:
[tex]0.64s=\$2,000[/tex]
Divide both sides by 0.64 to isolate and solve for [tex]s[/tex]:
[tex]s=\frac{2,000}{0.64}=\boxed{\$3,125}[/tex]
Therefore, the boy had $3,125 to begin with.
Answer:
2800
Step-by-step explanation:
20%+20%=40%
40/100x2000=2800
A ball rolls down and the distance traveled by the ball is given by d = 5t + t2/3 feet in t seconds. Find the time when the ball reaches the distance of 18 feet.
resolve the factors ( xy+z)^2 (y-xz)^2
Answer:
=x4y2z2−2x3y3z+2x3yz3+x2y4−4x2y2z2+x2z4+2xy3z−2xyz3+y2z2
Make me brainliest
Answer:
x2y-x2z-xy2+xz2+y2z-yz2
step by step
step.1
Equation at the end of step 1:(((x2)•(y-z)(+((y2)•(z-x)))+z2•(x-y)
step2
Equation at the end of step2
(((x2)•(yz))+yz•(z-x))+z2•(x-y)
step.3
equation at the end of step 3.
(x2•(y-z)+y2•(z-x))+z2•(x-y)
step4
trying to factor by pulling out:
factoring: x2y-x2z-xy2+xz2+y2z-yz2
thought fully split the expression at hand into groups,each group having two terms:
group1: y2z-yz2
group 2: x2y-x2z
group 3: xz2-yz2
pull out from each groups separately:
group 1:(x-z)•(-y2)
group 2:(y-z)•(x2)
group 3:(x-y)•(z2)
looking for common sub-expressions:
group 1:(x-z)•(-y2)
group 2:(y-z)•(x2)
group 3:( x-y)•(z2)
bad news !! factoring by pulling out fails:
The groups have no common factor and cannot be added up to form a multiplication.
final result:
x2y-x2z-xy2+xz2+y2z-yz2
Write an inequality representing the total cost of your purchase. a. Each pound of fruit costs $4. Write an expression that shows the total cost of the fruit. Use the variable you identified in question 1.
Answer:
$4n
Step-by-step explanation:
The variable identified in question 1 isn't given ;
If the cost per unit of fruit = $4
The total cost of fruit will be :
Cost per fruit * number of fruits
If the number of fruits is denoted by the variable, n
The the total cost of fruit will be :
Cost per fruit, $4 * number of fruits, n
Total cost = $4 * n = $4n
The width of a rectangle is (2x – 7)inches and its width is (x^2 – 5) inches. Find an expression for the perimeter of the rectangle.
a. 2x^3 + 35
b. x^2 - 2x + 2
c. x^2 + 2x – 12
d. 2x^2 + 4x – 24
Answer:
(2x²+4x-24) in.
Step-by-step explanation:
.
Moses and Louis ran laps after school to train for the basketball team. The ratio of the number of laps Moses ran to the number of laps Louis ran was two to three.
If Moses ran 8 laps, how many laps did Louis run?
Answer:
Moses ran 8 Luis ran 12.
Step-by-step explanation:
.
Number of laps to Louis run is 12 when Moses ran 8 laps.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio of the number of laps Moses ran to the number of laps Louis ran = 2 : 3
Now,
Since, The ratio of the number of laps Moses ran to the number of laps Louis ran = 2 : 3
So, Number of laps Moses ran = 2x
And, Number of laps Louis ran = 3x
If Moses ran 8 laps.
Then, we get;
2x = 8
x = 4
Then, Number of laps Louis ran = 3x
= 3 × 4
= 12
Thus, Number of laps to Louis run is 12 when Moses ran 8 laps.
Learn more about the ratio visit:
https://brainly.com/question/25927869
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A straight line is drawn through the points A(1,1) and B(5,-2). Calculate the gradient
Answer:
-3/4
Step-by-step explanation:
The line passes through the two points which are A(1,1) and B(5,-2) . We know that the slope of the line passing through two points is ,
[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies Slope =\dfrac{ -2-1}{5-1}\\\\\implies Slope =\dfrac{-3}{4} \\\\\implies \underline{\underline{ Slope (m) =\dfrac{-3}{4}}}[/tex]
Hence the slope of the line is -3/4 .
Select "equivalent" or "not equivalent" to indicate whether the expression above is equivalent or not equivalent to the values or expressions in the last column.
Answer:
equivalent
Step-by-step explanation:
Which is equivalent to 2^5?
Answer:
Are there certain options?
Step-by-step explanation:
2^5 is in other words 2x2x2x2x2
the answer to this is 32
Hope I helped?
Answer:
32
Step-by-step explanation: