Answer:
[tex]a_{1}=6[/tex]
Step-by-step explanation:
It is sum of arithmetic progression
[tex]$S_{20}=\frac{20}{2} [2a_{1}+(20-1)\cdot 4]$[/tex]
[tex]$880=10[2a_{1}+(19)\cdot 4]$[/tex]
[tex]$880=10[2a_{1}+76]$[/tex]
[tex]880=20a_{1}+760[/tex]
[tex]120=20a_{1}[/tex]
[tex]a_{1}=6[/tex]
Please look at number 2. I’m not quite sure how I can figure that out?
Answer:
Circle graph
Step-by-step explanation:
common sense
Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions? –5 –3 3 4
Answer:
b = -5
Step-by-step explanation:
You needy to calculate the Discriminant = b² - 4ac
If D is zero there is one real solution,
If D less then zero there are no real solutions
Only if D is bigger then zero, there are two real solutions.
x² - 5x + 5 D > 0 so 2 real solutions
see attachment.
x² - 3x + 5 D < 0 so no real solutions
x² + 3x + 5 D < 0 so no real solutions
x² + 4x + 5 D < 0 so no real solutions
Answer:
-5
Step-by-step explanation:
It's A on edge I'm doing the assignment rn
The value of x in 5(8+x)=20
Answer:
x = -4
Step-by-step explanation:
5(8+x)=20
Divide each side by 5
5/5(8+x)=20/5
8+x = 4
Subtract 8 from each side
8+x-8 = 4-8
x = -4
The right answer is -4.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Calcula la hipotenusa de un triángulo rectángulo, cuyos catetos miden 24 dm y 20 dm, respectivamente.
Answer:
31.2 dm
Step-by-step explanation:
Podemos calcular a hipotenusa do triángulo empregando a regra de Pitágoras:
[tex]h^2 = a^2 + b^2[/tex]
onde h = hipotenusa
a = unha perna do triángulo
b = outra perna do triángulo
Polo tanto:
[tex]h^2 = 20^2 + 24^2\\\\h^2 = 400 + 576\\\\h^2 = 976\\\\h = \sqrt{976}\\ \\h = 31.2 dm[/tex]
A hipotenusa é de 31,2 dm
What is 5 2/3 divided by 3 1/9?? PLEASE HELP!!! D:
Answer:1 23/28
Step-by-step explanation:
17/3/3 1/9
17/3/28/9
51/28
1 23/28
The fuel efficiency of passenger cars has increased significantly since the 1970s. A linear model of this situation is given below, where x represents the number of years after 1970, and y represents the average miles per gallon. Interpret the slope.
A. For each year since 1970, passenger car fuel efficiency has increased by 0.29 gallons per mile.
B. For each year since 1970, passenger car fuel efficiency has increased by 13 gallons per mile.
C. For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.
D. For each year since 1970, passenger car fuel efficiency has increased by 13 miles per gallon.
its C not A because
For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.
Answer: The answer is C. For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.
Step-by-step explanation:
In a linear model of the form y = mx + b, m is the slope and b represents the y-intercept.
In this situation, 0.29 is the slope.
The slope is the ratio of the change in y to the change in x.
In context, the slope indicates an increase of 0.29 miles per gallon per year after 1970.
Therefore, the slope means that for each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.
Which ordered pair would form a proportional relationship with the point graphed below?
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Option B falls inside of the line, keeping it proportional
Add, write answers as a decimal 3/4 + 0.66
Answer:
1.41
Step-by-step explanation:
3/4 = 75/100 = 0.75
0.75 + 0.66 = 1.41
Answer:
1.41
Step-by-step explanation:
4 divided by 3 = 0.75
0.66 + 0.75 = 1.41
In 3 minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 24 minutes. If both belts are used, find how long it takes to move the cans to the storage area. The time it takes to move the cans to the storage area using both belts is
Answer:
The answer is 1-1/2 minutes.
Step-by-step explanation:
What is the volume of the rectangular prism?
A. 384 cm
6 cm
B. 96 cm3
4 cm
C. 26 cm
16 cm
D. 24 cm
Answer:B
Step-by-step explanation:
Answer: A: 384cm^3
Step-by-step explanation:
L•W•H=
The volume of this rectangular prism is 6x2. What does the coefficient 6
mean in terms of the problem?
height = x
width = X
length = 6x
o
A. The length of the prism is 6 units.
B. The total volume of the prism is 6 cubic units.
O
C. The length is 6 times the width.
D. The width is 6 times the height and the length.
Answer:
C
Step-by-step explanation:
The length is 6 times the width.
6 times x is 6x
You are welcome and don't for get to click THANKS
Answer: C
Step-by-step explanation:
if y=Kxz SQUARED, FIND K IF X=3. Z=2. y=60
Answer:
y = kxz²
k= y/xz²
x= 3 y = 60 z= 2
k = 60/3(2)²
k=60/12
k= 5
Hope this helps.
The word problem below has too little information. Read carefully and then
choose the fact or facts needed to solve the problem.
Carl rode a horse about 15 feet from the center of the carousel. Allison rode
a horse about 10 feet from the center. How much further did Carl's horse
travel in one complete turn of the carousel?
A. Horses on the outside edge are the fastest.
B. Carl's horse travels 90 feet in one turn.
C. Horses near the center are the slowest.
D. Allison's horse travels 60 feet in one turn.
Answer:
5 feet.
Step-by-step explanation:
We have been given that about 15 feet from the center of the carousel. Allison rode a horse about 10 feet from the center of the carousel.
To find the distance covered by Carl's horse more than Allison's horse we will subtract covered by Allison's horse from the distance covered by Carl's horse.
plz plz plz i really need this will mark bianleast
Triangle DEF is to be translated left 2 units, up 4 units.
What are the vertices of the translated triangle?
D'(–1, 5), E'(3, 2), and F'(5, 8)
D'(–1, –3), E'(3, –6), and F'(5, 0)
D'(–5, 5), E'(–1, 2), and F'(1, 8)
D'(–5, –3), E'(–1, –6), and F'(1, 0)
What is the difference between the median number of electoral votes per state and the modal number (mode) of electoral votes?
State | Number of Electoral Votes
=================================
California | 55
Florida | 27
Illinois | 21
Kentucky | 8
Missouri | 11
Nevada | 5
North Carolina | 15
Texas | 34
Utah | 5
======================
A. 50
B. 10
C. 16
D. 11
Answer:
B. 10
Step-by-step explanation:
The median is the middle number, so to find it, we must list the numbers from smallest to largest :
5, 5, 8, 11, 15, 21, 27, 34, 55
The median is 15
The mode is what number occurs most often, which is 5.
The difference will be found by subtracting 5 from 15:
15-5=10
Answer:
10
Step-by-step explanation: you have to find the median number and subtract by 5
5,5,8,11,15,21,27,5
also the median is middle number subtract by 5 because it want the difference number of electoral votes per state
15-5=10
Line segment AB is the diameter of circle C. If the endpoints of the diameter are (3, -4) and (7,2), what are the coordinates of the center of the circle
Answer:
(5, -1)
Step-by-step explanation:
You find the center of both the coordinates. For the x axis: 3+7 = 10. 10/5=2. For the y axis: -4+2=-2. -2/2 = -1. Put them together and get the answer! :)
Hitting the baseball over the lights
Meanwhile, at the ballpark, Juan was practicing his hitting while talking to the girls
standing around watching. He started telling them how he hit the ball over the 50 foot
light tower yesterday. The girls were unsure that he really did that.
The formula for this hit is: H(x)=-16x^2+60x+4 where h is the height of the ball and x is the number of seconds the ball is in the air.
How long did the ball actually hang in the air?
Answer:
Approximately 3.8 seconds
Step-by-step explanation:
H(x)=-16x^2+60x+4
We want to find when the ball hits the ground, or where the zeros are
0 =-16x^2+60x+4
Using the quadratic formula
-b ±sqrt(b^2 -4ac)
---------------------------
2a
-60 ±sqrt(60^2 -4*-16*4)
---------------------------
2(-16)
-60 ±sqrt(3600+256)
---------------------------
-32
-60 ±sqrt(3856)
---------------------------
-32
We want the positive value for time
-60-62.09669879
---------------------------
-32
3.815521837
Approximately 3.8 seconds
What is 3lna+lnb−lnc written as a single logarithm?
Answer: here's the answer
PLATO USERS!
Select the correct answer from each drop-down menu.
cos(420°) =
sin(450°) =
Answer:
see below
Step-by-step explanation:
cos(420°) = cos 60 = 1/2
sin(450°) = sin 90 = 1
Answer:
See below in bold.
Step-by-step explanation:
cos (420) = cos (420 - 360)
= cos 60
= 1/2.
sin 450 = sin(450-360)
= sin 90
= 1.
30 points!!!
Find the value of x. sin 62°=7x
Answer:
Step-by-step explanation:
x = 0.12613537
Match the points on the number line with the rational numbers.
Answer:
A -1 6/8
B -1 2/8
C -0.5
D 1
E 1 5/8
Step-by-step explanation:
hich number line correctly shows –3 – 1.5? A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5.
Answer:
#1
Step-by-step explanation:
#1)-3-1.5
you go 3 units left from zero to get to -3
then, you go 1.5 units to the left of -3,
thus getting to -4.5,
#2) in #2 you went to the right to 3 and 4.5, but dude, it is subtraction, so, it should go the opposite way...wrong
#3) you can't change to order of the things in subtraction like in addition, so #3 is wrong answer of 3
#4) like in # 3, you have to go from 0 to (-3) 3 units to the left first, also you go from -3 to -4.5 1.5 units to the left, not -3 to -1.4 -4.5, which makes no sense, steps shown incorrectly to get any single answer at all
#5) you go from -1.5 to 1.5 , then from 0 to -1.5, same as in 4, 3, and 2 you will never get to -4.5, but same as 4 not get any single answer at all
pls answer for brainliest!!! thank you
Answer:
$6 per week, $600 total
Step-by-step explanation:
$30 total divided equally by 5 weeks = $6 per week. She will rase $6 per week.
After she raises $30 more, her total will be $200. Since her father and mother will also match her total they will both give $200.
$200+$200+$200 (Father+mother+Jane)=$600 total by the family
have a nice day :)
1.) Predict how many times you will roll a number less than 3 if you roll a standard number cube 100 times. Round to the nearest integer, if necessary.
You will roll a number less than 3 about____
times.
2.) you flip a fair coin 28 times. About how many times would you expect heads to appear?
If a fair coin is flipped 28 times then heads should appear about______
times.
Step-by-step explanation:
i dont know one. but number to is 14. hope it helps
What is the solution to the system of equations below?
2x + 3y = 6
x - 3y = 9
Step-by-step explanation:
2x + 3y = 6 3x = 15 5 - 3y = 9
x - 3y = 9 x = 15/3 = 5 y = 9 - 5/-3 = -4/3
3x = 15
which answer justifies why 10 1/3= 3^10
Answer:
they are not equal
Step-by-step explanation:
10 1/3 = 10.33333
3^10 =59049
10.333 does NOT equal 59049
Answer:
Brainliest here!
Step-by-step explanation:
10 1/3 = 10.33333 3333333...
3^10 = 59049
10.333 < 59049
not equal to
NEED ANSWER ASAP. WILL MARK THE BRAINLIEST!
Answer: C) 4955.30
Step-by-step explanation:
Where: A = P(1 + r/n)nt
A= 4000 (1+0.055/1)1*4
A= 4000 x (1.055)^4
A= 4955.30
Simplify (5 + 1)2 – (12 +34) = 3.
A. 5
B. -39
C. -63
D. 29
Answer:
Not possible
Step-by-step explanation:
if you simplify it becomes
-34 = 3
with no variables, its undifined
Answer:
The answer is False
-34 = 3
Step-by-step explanation:
[tex](5 + 1)2 - (12 +34) = 3.\\(6)2 - (46) = 3\\12-46 = 3\\- 34 = 3\\False \\[/tex]
Your mom bought a new couch on sale for $840. If the sale was 30%, what was the Original Price?
Answer:
1200$
Step-by-step explanation:
(840/(100-30))*100
(840/70)*100
12*100
1200
the median and mean
PLZ HELP
Step-by-step explanation:
Data Set A: 14, 21, 24, 28, 28, 35
Data Set B: 18, 19, 21, 25, 29,32
Median:
Data Set A = 26
24 + 28 = 52
52/2 = 26
Data Set B = 23
21 + 25 = 46
46/2 = 23
Mean:
Data Set A = 25
14 + 21 + 24 + 28 + 28 + 35 = 150
150/6 = 25
Data Set B = 24
18 + 19 + 21 + 25 + 29 + 32 = 144
144/6 = 24