Answer:
x = 0, 2
Step-by-step explanation:
[tex] {4}^{x} - 5( {2}^{x} ) + 4 = 0 \\ {({2}^{x})}^{2} - 5( {2}^{x} ) + 4 = 0 \\ {u}^{2} - 5u + 4 = 0 \\ (u - 1)(u - 4) = 0 \\ u = 1 \: or \: u = 4 \\ {2}^{x} = 1 \: or \: {2}^{x} = 4 = {2}^{2} \\ x = 0 \: or \: x = 2[/tex]
Solve for x.
Enter the solutions from least to greatest.
—4x2 – 7 = -11
lesser x =
greater x =
Answer:
lesser x = - 1 , greater x = 1
Step-by-step explanation:
- 4x² - 7 = - 11 ( add 7 to both sides )
- 4x² = - 4 ( divide both sides by - 4 )
x² = 1 ( take square root of both sides )
x = ± [tex]\sqrt{1}[/tex] = ± 1
then
lesser x = - 1
greater x = 1
In ΔHIJ, \text{m}\angle H = (x-1)^{\circ}m∠H=(x−1)
∘
, \text{m}\angle I = (2x+5)^{\circ}m∠I=(2x+5)
∘
, and \text{m}\angle J = (7x+6)^{\circ}m∠J=(7x+6)
∘
. What is the value of x?x?
The measure of angle L is 52
Step-by-step explanation:
Mathematically, in a triangle, the sum of the angles equal 180
So in this case;
J + K + L = 180
So therefore;
8x + 6 + 2x + 2 + 4x + 4 = 180
8x + 2x + 4x + 6 + 2 + 4 = 180
14x + 12 = 180
14x = 180 -12
14x = 168
x = 168/14
x = 12
So to get the measure of angel L, we simply substitute the value x in the equation for L
From the question, L = 4x + 4
So therefore L = 4(12) + 4 = 48 + 4 = 52
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
If in ΔHIJ, m∠H = x - 1, m∠I = 2x + 5, and m∠J = 7x + 6.
The value of x is 17.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
Example:
Triangle ABC:
m∠A + m∠B + m∠C = 180
We have,
ΔHIJ
m∠H = x - 1
m∠I = 2x + 5
m∠J = 7x + 6
We know that,
The sum of the angles of the triangle is 180 degrees.
m∠H + m∠I + m∠J = 180
(x - 1) + (2x + 5) + (7x + 6) = 180
x - 1 + 2x + 5 + 7x + 6 = 180
10x + 10 = 180
Take 10 common.
10 (x + 1) = 180
Divide both sides by 10.
x + 1 = 180/10
x + 1 = 18
Subtract 1 on both sides.
x = 18 - 1
x = 17
Thus,
If in ΔHIJ,
m∠H = x - 1
m∠I = 2x + 5
m∠J = 7x + 6.
The value of x is 17.
Learn more about triangles here:
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A rectangle has a width of x centimetres and a perimeter of 8x centimetres. A square has
sides of length one fourth the length of the rectangle.
a) Determine the length of the rectangle.
b) Determine the perimeter of the square.
c) Determine how many centimetres greater the rectangle's perimeter is than the square's
perimeter if x = 4.
d) Determine how many square centimetres greater the rectangle's area is than the square's
area if x = 4.
Answer:
Part A) The length of rectangle is [tex]3x[/tex] [tex]cm[/tex]
Part B) The perimeter of the square is [tex]3x[/tex] [tex]cm[/tex]
Part C) [tex]20[/tex] [tex]cm[/tex]
Part D) [tex]39[/tex] [tex]cm^2[/tex]
Step-by-step explanation:
Part A) Find the length of the rectangle
we know that
The perimeter of rectangle is equal to
[tex]P=2(L+W)[/tex]
we have
[tex]P=8x[/tex] [tex]cm[/tex]
[tex]W=x[/tex] [tex]cm[/tex]
substitute and solve for L
[tex]8x=2(L+x)[/tex]
[tex]4x=(L+x)[/tex]
[tex]L=4x-x=3x[/tex] [tex]cm[/tex]
Part B) Find the perimeter of the square
we know that
The perimeter of a square is
[tex]P=4b[/tex]
we have that
[tex]b=(1/4)L[/tex]
substitute the value of L
[tex]b=(1/4)3x=(3/4)x[/tex] [tex]cm[/tex]
Find the perimeter of the square
[tex]P=4(3/4)x=3x[/tex] [tex]cm[/tex]Part C) Find how many cm greater the rectangle's perimeter than the square's perimeter if x=4
Find the value of rectangle's perimeter
[tex]P=8x[/tex] [tex]cm[/tex] ------> [tex]P=8(4)=32[/tex] [tex]cm[/tex]
Find the value of square's perimeter
[tex]P=3x[/tex] [tex]cm[/tex] ------> [tex]P=3(4)=12[/tex] [tex]cm[/tex]
Find the difference
[tex]32[/tex] [tex]cm[/tex] [tex]-12[/tex] [tex]cm[/tex] [tex]=20[/tex] [tex]cm[/tex]
Part D) Find how many square cm greater the rectangle's area is than the square's area if x=4
Find the value of rectangle's area
[tex]A=(3x)(x)=3x^2[/tex] [tex]cm^2[/tex] ------> [tex]A=3(4^2)=48[/tex] [tex]cm^2[/tex]
Find the value of square's area
[tex]A=((3/4)x)^2[/tex] [tex]cm^2[/tex] ------> [tex]A=((3/4)(4))^2 = 9[/tex] [tex]cm^2[/tex]
Find the difference
[tex]48[/tex] [tex]cm^2[/tex] [tex]-9[/tex] [tex]cm^2[/tex] [tex]=39[/tex] [tex]cm^2[/tex]12) In two successive years, the population of a town is increased by 15% and 20%. What
percent of the population is increased after two years?
A. 32%
B. 35%
C. 38%
D. 68%
Can someone please help me with this? Thank you. No links!
Answer: 2(mJKL)=mJL
Step-by-step explanation: The arc angle is double the inscribed angle
NEED HELP WITH THIS QUESTION QUICK!!!
Answer:
204 degrees is the answer
Step-by-step explanation:
.l
6 increased by 14 divided by 7
Answer:
2
Step-by-step explanation:
I think it's 2 if it is wrong pls correct me
Help please :(
Kelly's mother is 35. Kelly is 13. How old will Kelly be when her mom is 50?
Kelly's mother is 35. Kelly is 13. How old will Kelly's mom be when Kelly is 50?
REAL CAREFULLY PLEASE HELP
[tex]Thank you![/tex]
________________________________________________________
If Kelly's mom is 35, it will take her 15 more years to become 50. Make an equation to represent this.[tex]35 + 15 = 50[/tex]
Next, you want to add 15 to Kelly's age because for each year her mom ages, she ages for that same number of years.[tex]13 + 15 = 28[/tex]
________________________________________________________
For the second problem, we just do an inverse of the problem. If Kelly is 13 and her mom is 35, how long will it take Kelly to become 50? How old will her mom be?It would take Kelly 37 more years to become 50, because 37 + 13 = 50
Now that we have found the number of years remaining, add her mother's age by the remaining years left, r
[tex]35 + r(37) = 72[/tex]
908636549723 times 47647647 divided bye 98
Answer:
4.4177953e17
Step-by-step explanation:
i think that's the answer im not sure i worked it out in my notebook sorry if it's wrong
bob has 12 red cards and 20 green cards. what is the ratio of bobs red cards to his green card
Answer:
3:5
If Bob has 12 red cards and 20 green cards, all we have to do is write the two numbers seperated by a colon.[tex]12~to~20 -- > 12:20[/tex]
How did we get 3:5 then, you may be asking? It is just a few simple steps. All you need to do is find the divisor. How do we find the divisor? Find the lowest or highest number that both parameters are divisible by.[tex]\frac{12 / 4}{20 / 4} = \frac{3}{5} -- > 3:5[/tex]
________________________________________________________
The problem is now complete, time to go over what we just learned while reading this.
________________________________________________________
What did we learn?We learned how to find and simplify ratios in a story problem.
Related questions? Ask me in the comments box.
Help picture below problem 15
Which number best represents the slope of the graphed line?
Y410
-10
10
10
Answer:
1/2
Step-by-step explanation:
I took the test and rise/run is being asked
A pizza was divided into fourths. Jack ate 1/2 of one of the fourths. What part of the pizza de he eat?
I am a teacher and need to proofread my student's work. But it makes it quite hard when I need to watch a 30-second ad to make sure their answers are right. Is there any way I can bypass this without having to pay because this is a huge inconvenience?
Answer:i dont think so..
Step-by-step explanation:
URGENT PLS HELP 20 POINTS
Step-by-step explanation:
The radius,r is 1 unit
The sum of angles is = π + π/4
5π/4
The length of the arc = (5π/4)/2π • 2πr
= 5π/4 units
Vivian is trying to save money for her summer vacation. She puts $40 in her lucky money jar on week 1. She will put an additional $15 in the lucky jar each week.
a. Write an explicit formula for this scenario?
b. How much money will she have saved for her vacation by week 20.
Answer:
she saved $340 in total
Step-by-step explanation:
(15 x 20) + 40 = s
s = savings
Can you guys answer b
Answer:
2⁶-1
Step-by-step explanation:
[tex] ({2}^{0} + {2}^{1} + {2}^{2} + {2}^{3}) + {2}^{4} + {2}^{5} \\ = ({2}^{4} - 1) + {2}^{4} + {2}^{5} \\ = 2( {2}^{4} ) + {2}^{5} - 1 \\ = {2}^{5} + {2}^{5} - 1 \\ = 2( {2}^{5} ) - 1 \\ = {2}^{6} - 1[/tex]
Andrew can paint a painting 2 times faster than Ethan can. When they work together on a painting it takes them 9 hours to paint. How long would it take Ethan to paint the painting by himself?
Answer:
13.5
Step-by-step explanation:
it rlly easy
Linda is baking a pumpkin pie for her family and friends at Thanksgiving.
She is baking the pie in a 10 inch pie plate. What is the area of her pie?
Answer:
about 78in^2
Step-by-step explanation:
A = [tex]\pi r^{2}[/tex]
A = [tex]\pi 5^{2}[/tex]
A = [tex]\pi * 25[/tex]
A = 3.14 * 25
A ≈ 78[tex]in^{2}[/tex]
Please help now
Pic below
Hey who knows how to copy and paste please wyd
Answer:
CTRL C to copy and CTRL V to paste
Step-by-step explanation:
please mark brainliest and btw if you dont want to get plagarized use quillbot
Apr 13, 11:50:23
A group of friends wants to go to the amusement park. They have no more than $90
to spend on parking and admission. Parking is $16.50, and tickets cost $10.50 per
person, including tax. Use the drop-down menu below to write an inequality
representing p, the number of people who can go to the amusement park.
Answer:
16.50 + 10.50p ≤ 90
Step-by-step explanation:
add the parking amount and the ticket cause per person (p) to make it less than or equal to $90 since that’s the only amount of money that could be used
What is the absolute deviation of 30 in this data set?
{26, 35, 27, 30, 22}
2
3
5
8
Using it's concept, it is found that the absolute deviation of 30 in the data set is of 2.
What is the absolute deviation of a measure?The absolute deviation of a measure is given by the absolute value of the differente between the measure and the mean.
The mean is the sum of all observations divided by the number of observations. In this data-set, it is given by:
M = (26 + 35 + 27 + 30 + 22)/5 = 28
30 - 28 = 2, hence, the absolute deviation of 30 in the data set is of 2.
More can be learned about absolute deviation at https://brainly.com/question/17381861
Answer:
The answer is 2
Step-by-step explanation:
I took the test
9. The price of one gallon of heating oil is $2.689.Which is this number rounded
to the nearest penny?
A $2.68
B $2.69
C $2.70
D $3.00
Easy math help picture below problem 4
Answer: is 126 degrees
Step-by-step explanation:
Mr. Mares' class has 28 students. If five people can work together on a group project, estimate the number of groups that there will be by rounding the larger number.
28/5 = 5.6
then round it up so it would be 6
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
119
Step-by-step explanation:
all angles in a triangle add up to 180
180-61-58=61
so missing inner angle is 61
then to solve 1:
180-61=119
Nathan and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $4.50 and a drink for $4.25. How much would it cost if they bought 7
bags of popcorn and 3 drinks? How much would it cost if they bought p bags of
popcorn and d drinks?
Answer:
$44.25
Step-by-step explanation:
($4.50×7)+(4.25×3)
=$31.50+$12.75
=$44.25
$44.25 is the cost if they bought 7 bags of popcorn and 3 drinks and 4.50p+4.25d is for p bags of popcorn and d drinks.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that
popcorn for $4.50
drink for $4.25.
There are 7 bags of popcorn and 3 drinks.
So let us find the total cost.
7(4.50)+3(4.25)
31.5+12.75
44.25
So $44.25 is the cost if they bought 7 bags of popcorn and 3 drinks
Now we need to find cost for p bags of popcorn and d drinks.
4.50p+4.25d
Hence $44.25 is the cost if they bought 7 bags of popcorn and 3 drinks and 4.50p+4.25d is for p bags of popcorn and d drinks.
To learn more on Equation:
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Deb recorded the number of cups of water she drank for 7 days.The median number of cups of water she drank was 6.The range of the number of cups of water she drank was 4. Which statement can be made from the given information?
Answer:
lol, that is true she should stop drinking too much water.
But all jokes aside, the answer is A. At least one day she drank exactly 6 cups of water.
Find the product of 40 and
100.
Answer:
4000
Step-by-step explanation:
40 x 100