Term 11=a+10d
Here
a=10
d= 7-10= -3
Term 11;
=10+(10×-3)
=10+(-30)
= -20 is the answer
Thank you Hope it helps dear
Answer: -32
Step-by-step explanation:
a=10, d = 7-10 = -3
First find which term is -62
an = -62
a = (n-1) d= -62
Putting values
10 + (n-1)(-3) = -62
10 + (n(-3) -1 (-3) = -62
10 - 3n + 3 = -62
13 - 3n = -62
-3n = -62-13
n = 75/3 = 25
We need to find out 11th term from the last term ie., 25 - 10 = 15th term
So we need to find a14
an = a +(n-1) d
a15 = 10+ (15-1) (-3)
= 10 + 14 (-3)
= 10 -42
= -32
So the 11th term from the 15th term from the first = -32
3. If angles R and S are complementary, which statement about the two angles is true?
mZR = 45° and mzs = 45°.
ZR and ZS form a right angle.
O ZR and 2S are both acute.
LR and ZS are adjacent.
Answer: ZR and ZS form a right angle
Step-by-step explanation:
Complementary angles are angles whose sum = 90ᴼ
If R and S are complementary, then their angle measures add to equal 90ᴼ
A right angle = 90ᴼ
ZR and ZS form a right angle.
What is complementary angle?When the sum of two angles is equal to 90 degrees, they are called complementary angles.
What is right angle?When two straight lines intersect each other at 90˚ or are perpendicular to each other at the intersection, they form the right angle.
According to the given question.
Angles R and S are complementary angles.
Since, R and S are complementary angles. then their angle measured add to equal to 90 degrees or right angle.
Therefore,
The ZR and ZS form a right angle.
Hence, option second is correct.
Find out more information about complementary angles and right angle here:
https://brainly.com/question/5708372
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Lorrie biked d miles in 2 hours. She traveled at an average speed of more than 8 miles per hour. To determine the distance she may have traveled, she uses the inequality 2d > 8. She then determines that she biked at most 4 miles. Analyze Lorrie’s inequality and solution.
Answer:
[tex]\fbox{\begin{minipage}{14em}Lorrie's inequality is incorrect\end{minipage}}[/tex]
[tex]\fbox{\begin{minipage}{16em}The solution is: d is greater than 16\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define the problem
Given:
Lorrie biked [tex]d[/tex] miles in time [tex]t = 2[/tex] hours.
Lorrie traveled at speed [tex]s[/tex] which is greater than [tex]8[/tex] (mile/hour).
Task:
Lorrie wants to determine the distance she may have traveled.
Key point:
The relation among the distance biked [tex]d[/tex], time [tex]t[/tex], and the speed [tex]s[/tex] is represented:
[tex]d = s[/tex] x [tex]t[/tex]
Step 2: Substitute given data into the main relation
with: [tex]s > 8[/tex] and [tex]t = 2[/tex]
=> [tex]d = s[/tex] x [tex]t[/tex]
=> [tex]d[/tex] > [tex]8[/tex] x [tex]2[/tex]
Simplify:
[tex]d > 16[/tex]
Step 3: Verify Lorrie's inequality
Lorrie uses the inequality [tex]2d > 8[/tex] to conclude that she traveled a distance [tex]d[/tex] at most [tex]4[/tex] miles, or [tex]d < 4[/tex].
Considering the correct answer is at step 2, in which, [tex]d > 16[/tex].
=> Lorrie's conclusion is incorrect.
Hope this helps!
:)
Answer:
Lorrie should have used division in the inequality instead of multiplication. She would have determined that she biked more than 16 miles instead of at most 4 miles.
Step-by-step explanation:
took the test
what is equivalent to 5 x a
1. 5a
2. a^5
3. a x a x a x a x a
4. 5^a
Answer:
5a
Step-by-step explanation:
[tex]5\cdot \:a\\\\[/tex]
5 multiply a
5a
A sauce recipe calls for 3/4 cup of chicken broth. To make enough sauce for a party, Marcy needs to triple the recipe.
2 (3) = (*) (6)
cups of chicken broth,
She estimates that the tripled recipe will need
The exact amount of chicken broth needed is
cups.
Answer:
less than 3
9/4
Step-by-step explanation:
Answer:
less than 3
9/4
Step-by-step explanation:
boom!!!
A factory makes car batteries. The probability that a battery is defective is 1/11. If 500 batteries are tested, about how many are expected to be defective?
Answer:
45.45 batteries
Step-by-step explanation:
The probability of any random battery being defective is 1 in 11, the number of expected defects in a population of 500 batteries is given by:
[tex]E= \frac{1}{11}*500\\E=45.45\ batteries[/tex]
45.45 batteries are expected to be defective.
Answer:
45
Step-by-step explanation:
NEED ANSWERS QUICK, I WILL GIVE BRAINLIEST 1.According to the following image, what is the length of
AB, 2. solve for X
Answer:
the length of ab is 8
x=3
Step-by-step explanation:
Subtract -5/8 -(-1/4)
plzz answer now!
Answer: -5/18 - (-1/4) = -1/36
Step by step:
To subtract, find the LCD and then combine
So this is your answer,
-1/36
Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}
Answer:
[tex]|p-q|-(|p|-|q|) = 20[/tex]
Step-by-step explanation:
First let's find the value of 'p-q':
[tex]p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\[/tex]
To find |p-q| (module of 'p-q'), we can use the formula:
[tex]|ai + bj| = \sqrt{a^{2}+b^{2}}[/tex]
Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'
So we have:
[tex]|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25[/tex]
Now, we need to find the module of p and the module of q:[tex]|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15[/tex]
[tex]|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10[/tex]
Then, evaluating |p-q|-{|p|-|q|}, we have:
[tex]|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20[/tex]
i need help pls asap!!
Answer:
No, Electric Pole is 40 ft
Step-by-step explanation:
tan 66.8° = [tex]\frac{x}{15}[/tex]
x = 35
but that is from the top of Danny, so you need to add 5 (his height)
Electric Pole is 40 ft
Which of the following are exterior angles? Check all that apply
Answer:
Options A, E
Step-by-step explanation:
If the angle doesn't lie inside this triangle, we can assume it is an exterior angle, provided it is between a side of this triangle and an adjacent side extended outward;
[tex]< 4 - Doesn't Lie In Triangle, - Exterior Angle,\\< 3 - Lies In Triangle, - Interior Angle,\\\\< 6 - Doesn't Lie In Triangle, Execption, - Neither Interior Nor Exterior,\\\\< 1 - Lies In Triangle - Interior Angle,\\< 5 - Doesn't Lie In Triangle - Exterior Angle\\\\< 2 - Lies in Triangle - Interior Angle[/tex]
Refer to Solution below;
A. Check!
E. Check!
Select all that apply.
Which of the following name a line in the drawings
Answer:
DB
It's the only line that is not a segment.
Step-by-step explanation:
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!
Answer:
n= -11/5+ 3/5m
Step-by-step explanation:
Answer:
g(n) = [tex]\frac{5n+11}{3}[/tex]
Step-by-step explanation:
Given
3m - 5n = 11
Rearrange making m the subject
Add 5n to both sides
3m = 5n + 11 ( divide both sides by 3 )
m = g(n) = [tex]\frac{5n+11}{3}[/tex]
Identify the transformed coordinates of the line segment A (4, 7) and B (9, 7)
when it is reflected across x-axis.
Answer: A (4, -7) B (9, -7)
Step-by-step explanation:
When it’s reflected over the x-axis, the y coordinates become negative but the x coordinates don’t change
x coordinates: 4, 9
y coordinates: 7, 7
Reflected over x-axis: (4, -7), (9, -7)
the lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line?
A. 2/3
B. -2/3
C. -3/2
D. 3/2
Answer:
-2/3
Step-by-step explanation:
Perpendicular slopes have lines that multiply to -1
m* 3/2 = -1
Multiply each side by 2/3
m* 3/2 * 2/3 = -1 * 2/3
m = -2/3
The slope of the perpendicular line is -2/3
Answer:
The answer is B
I use an online graphing calculator called Desmos. You should check it out some time :)
How many cubes eith side lengths of 1/4 cm does it take to fill the prism? Please help
Step-by-step explanation:
In order to find Volume for a rectangle use the formula: L * W * H
2 1/4 * 3/4 * 1 1/4 = 2 7/64
A cube with the side lengths of 1/4: 1/4 * 1/4 * 1/4 = 1/64
Divide 1/64, by the prisms volume, 2 7/64 to get 135.
I'm not sure if this is right, but I hope that helps! :)
What is the area of Dawn’s porch
HELP PLSSSSSS I NEED TO GET THIS DONE
Answer:
1). a = 10, b = 6
2). a = 5, b = 3, c = 8
Step-by-step explanation:
Given expression is,
1). [tex]\frac{7^{6}\times 7^8}{7^4}[/tex] = [tex]\frac{7^a}{7^4}=7^4[/tex]
= [tex]\frac{7^{2+8}}{7^4}[/tex] [Since [tex]x^{m}\times x^n=x^{(m+n)}[/tex]]
= [tex]\frac{7^{10}}{7^4}[/tex]
= [tex]7^{{10-4}}[/tex]
= [tex]7^{6}[/tex]
Therefore, a = 10 and b = 6
2). [tex]\frac{2^5}{4}=\frac{2^5}{2^a}=2^b=c[/tex]
= [tex]\frac{2^5}{2^2}[/tex]
= [tex]2^{{5-2}}[/tex]
= [tex]2^{3}[/tex]
= 8
Therefore, a = 5, b = 3 and c = 8
Find the volume of a cone. Either enter an exact answer in terms of or use 3.14 for pi and round your final answer to the nearest hundredth. The radius is 2 the height is 9
Answer:
12 units³
Step-by-step explanation:
The required formula is V = (1/3)πr²h, where r is the radius and h is the height. Here we get:
V = (1/3)π(2)²(9) = (1/3)π(9)(4) = 12 units³
You and your bestfriend are both on the swim team. You want to beat your bestfriend at the next swim meet so you decide to swim 15 minutes longer than she does on day at practice write an equation for the number of minutes you swim,y, when you bestfriend swims x number of minutes
Answer:
y = x + 15
Step-by-step explanation:
You swim 15 minutes more than a friend.The friend swims x minutes.
The amount of time you swim is 15 more than x.
Your time is y
Therefore y = x + 15 would be the equation.
A triangle can be formed with side lengths 3 in, 5 in, and 9 in.
Yes, it would be a scalene triangle. This can happen.
The Triangle sides have to be greater than c.
a+b > c
With the given inches, substitute it into the equations:
a = 3 in
b = 5 in
c = 9 in
3 + 5 > 9
Solve.
9 > 9
This is False since because a + b is not > c. a + b is equal to c.
How many terms in
(3x^2-4x+2)-(2x^2-4x-5)
[tex]\text{Simplify:}\\\\(3x^2-4x+2)-(2x^2-4x-5)\\\\3x^2-4x+2-2x^2+4x+5\\\\x^2-4x+2+4x+5\\\\x^2+2+5\\\\x^2+7\\\\\boxed{\text{Two terms}}[/tex]
Bernard is one and half times old as Henry six years ago he was twice as old as Henry how old are the boys now
Answer:
Henry=12, Bernard=18
Step-by-step explanation:
let Henry's age = x
let Bernard's age= 1.5x
according to d passage 6yrs ago x×2=1.5x
mathematically that is (x-6)2=1.5x-6
2x-12=1.5x-6
2x-1.5x=-6+12
0.5x=6
divide both sides by the co-efficient of x which is 0.5 can also be written as ½
there fore x=6÷½
x=Henry's age=12years
1.5x=Bernard's age=12×1.5=18years
1. Using the figure below, what is the measure of angle ABE?
Answer:
see below
Step-by-step explanation:
Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.
Answer:
The angle of ∠ABE is 40°.
Step-by-step explanation:
Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.
The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks in California. Which of the following equations would you use to find the number of State Parks in Florida? Note: f represents the number of state parks in Florida
Answer:
number of state parks in Florida is 147.
Equation is 1/3(f) + 36 = 85
Step-by-step explanation:
Given that f represents the number of state parks in Florida.
Also given that number of State Parks in California is 36 more than one third the number of State Parks in Florida
number of State Parks in California = 1/3 (number of State Parks in Florida) + 36
but it is given that There are 85 State Parks in California
and f represents the number of state parks in Florida
85 = 1/3(f) + 36 _________equation
=> 85 - 36 = 1/3 (f)
=> 49 = 1/3 f
=> 49*3 = f
=> f = 147
Thus, number of state parks in Florida is 147.
Equation is 1/3(f) + 36 = 85
pleas help please helpppp
Answer:
the third option
Step-by-step explanation:
the inverse of a statement is just the opposite. So the opposite of your statement would be "if a quadrilateral is NOT a rectangle, then it is NOT a parallelogram."
hope this helps!
what is the midpoint of the segment shown below (-6,-2) (-1,5)
Answer:
(-3.5,2.5)
Step-by-step explanation:
[tex]m=\left( \dfrac{-6+-1}{2},\dfrac{-2+5}{2} \right)=\left( \dfrac{-7}{2},\dfrac{3}{2}\right)=\left( -3.5,2.5 \right)[/tex]
Hope this helps!
Solve x* - 3x2 + 2 = 0 using substitution.
Answer:
x = -2/3 x=1
Step-by-step explanation:
We cant solve by substitution with just one equation
-3x^2 + x +2=0
Factor out a negative
-(3x^2 -x-2) = 0
Divide by negative 1
(3x^2 -x-2) = 0
Factor
(3x +2) (x-1)=0
Using the zero product property
3x+2 =0 x-1 =0
3x= -2 x=1
x = -2/3 x=1
Answer:
[tex]x = \frac{2}{3} \\ x = - 1[/tex]
Step-by-step explanation:
[tex]x - 3 {x}^{2} + 2 = 0 \\ - 3 {x}^{2} + x + 2 = 0 \\ - 3 {x}^{2} - 3x + 2x + 2 = 0 \\ - 3x(x + 1) + 2(x + 1) = 0 \\ ( - 3x + 2)(x + 1) = 0[/tex]
[tex] - 3x + 2 = 0 \\ - 3x = - 2 \\ \frac{ - 3x}{ - 3} = \frac{ - 2}{ - 3} \\ x = \frac{2}{3} [/tex]
[tex]x + 1 = 0 \\ x = - 1[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Sue graphed the formula for converting temperatures from Fahrenheit to Celsius. A graph titled Temperature Conversion has Degrees Fahrenheit on the x-axis and Degrees Celsius on the y-axis. The line goes through points (50, 10) and (64, 18). If the temperature is 50 degrees Fahrenheit, what is the temperature in Celsius? 5 degrees Celsius 10 degrees Celsius 15 degrees Celsius 20 degrees Celsius
Answer:
10 degrees Celsius
Step-by-step explanation:
Since the line goes through point (50, 10) and x represents Fahrenheit, y represents Celsius, then 50 F= 10 C
Answer:
10 degrees
Step-by-step explanation:
Sammy the school custodian is having a debate with Marci the museum curator. Sammy contends that the school is larger than the museum in terms of area. Marci contends the opposite. To settle their debate, they find satellite images of both buildings and juxtapose them on a single coordinate grid (shown below). The area of the school is \text{m}^2m 2 start text, m, end text, squared. Round the final answer to the nearest square meter. Do not round intermediate calculations. The area of the museum is \text{m}^2m 2 start text, m, end text, squared. Round the final answer to the nearest square meter. Do not round intermediate calculations. Who should win the debate?
Answer:
(Satellite images of both the buildings on a single coordinate grid are shown in the ATTACHMENT)
MARCI SHOULD WIN
AREA OF MUSEUM > AREA OF SCHOOL
Step-by-step explanation:
Find the area of School in Grid squares:
[tex]Width=\sqrt{1^2+3^2}\\ Width=\sqrt{10}\\Length=\sqrt{2^2+6^2}\\Length=\sqrt{40}\\Area=(Length)\cdot(Width)=\sqrt{40}\sqrt{10}=20\\[/tex]Area of School = 20 Grid squares*10*10
Area of School = 2000 m²
Find the area of Museum in Grid squares:
[tex]A=\pi{r^2}\\A=\pi(3^2)\\A=9\pi[/tex]
Area of Museum = 9п grid squares
Area of Museum = 2826 m²
AREA OF MUSEUM > AREA OF SCHOOL
For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.
a. To the right of 2.583
Answer:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1- P(t_{16} <2.583)[/tex]
And if we use the t- table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
Step-by-step explanation:
For this case we know that the degrees of freedom are given:
[tex] df = n-1= 16[/tex]
And we want to find the following probability:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1-P(t_{16} <2.583)[/tex]
And if we use the t-table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
