Answer:
0.94
Step-by-step explanation:
-3.7x - 2.3 = -5.8
+2.3 +2.3
-3.7x = -3.5
------ ------
-3.7 -3.7
x = 0.94594594594
x = 0.94
Answer:
0.94
Step-by-step explanation:
are you in 7th grade
Find the x-intercent(s) and the coordinates of the vertex for the parabola y = -x + 2x + 15. If there is more than one x-intercept, separate them with commas
Answer:
1
Step-by-step explanation:
Answer the following as the website for my hwk says I am incorrect:
a) 6/24 as its simplest form (I put 1/4)
b) 52.491 to 2 decimal places (I put 52.49)
c)how many 0.125m drinking straws are needed for a bridge which is 0.85m long (I put both 6.8 and 7)
d) 756.985 × 45 - 14.325 ( I put 34,050)
Select the correct answer. Which is the minimum or maximum value of the given function?
A. The function has a maximum value of -3.
B. The function has a minimum value of -3.
C. The function has a maximum value of -4.
D. The function has a minimum value of -4.
Answer:
The answer is D I believe
Step-by-step explanation:
If you look at the lowest point it lands on -4
Debra runs each lap in 8 minutes. She will run more than 40 minutes today. What are the possible numbers of laps she will run today?
Answer
At least 5 laps
Step-by-step explanation:
Divide by 8 on both sides
HELP PLS THIS IS HARD ANYONE
Answer:
The answer is (14,-6)
Step-by-step explanation:
I got it right on my test.
4(−5z+2)+(−6) using distributive property
Answer:
Step-by-step explanation:
-20z+8+(-6)
-20z+2
Answer:
it is (-20z+8)+(-24)
Step-by-step explanation:
the operation that is done here is multiplication. so, now you can just multiply each term, -5z times 4, 2 times 4, -6 times 4.
-5z times 4: -20z
2 times 4: 8
-6 times 4: -24
if 500 pieces of something is a pound how much does 1 piece weigh?
Answer:
0.002 pounds
Step-by-step explanation:
1lb / 500 = 0.002 pounds
Jaxon is flying a kite, holding his hands a distance of 2.5 feet above the ground and
letting all the kite's string play out. He measures the angle of elevation from his hand
to the kite to be 33. If the string from the kite to his hand is 150 feet long, how many
feet is the kite above the ground? Round your answer to the nearest hundredth of a
foot if necessary
Answer:
Step-by-step explanation:
As Jaxon holding his hands a distance of 2.5 feet above the ground.
means h1= 2.5 feet
elevation angle from the hand is 33° so ∅=33°
distance of kite from his hand is 150 feet
so from the image we can see , now
as we know that ,
Sin∅ =h2/150
Sin33°=h2/150
0.55 =h2/150 (Sin33°= 0.545)
so h2= 81.70 feet
so height from ground is (H)=h1+h2= 2.5+81.70
H=84.20 feet
In 1974 a mother was 6 times as old as her daughter. If the mother turned 50 in the year 2000, in what year was the mother double her daughter’s age?
This is in the topic of linear equations and please provide an explanation. (The working out)
Answer:
1990
Step-by-step explanation:
Since the mother was 50 years old in 2000, she was 50 - (2000-1974) = 50 - 26 = 24 years old in 1974.
Hence, the daughter was 24/6 = 4 years old in 1974.
In "x" years after 1974, the daughter will be 4+x years old, while the mother will be 24+x years old.
We need to find "x" from the equation
2(4 + x) = 24+x.
8 + 2x = 24 + x,
x = 24 - 8 = 16.
1974 + 16 = 1990.
Answer In 1990 the mother doubles her daughter's age
Check In 1990 mother's age is/was 24 + 16 = 40 years.
In 1990 the daughter's age is/was 4 + 16 = 20 years.
Solve Each Equation PLS SHOW WORK
|5k-8| / 10 = 2
|5k-8| / 10 is a fraction btw
Answer:
K is -12/5
k is also 28/5
Step-by-step explanation:
Here, we want to solve the equation
|5k-8| = 10(2)
5k-8 = 20
5k = 20 + 8
5k = 28
k = 28/5
or
5k-8 = -20
5k = -20 + 8
5k = -12
k = -12/5
Solve -2(5x – 3) = 41.
-2a + 22 = 22
8a + 22 = 22
-2a + 2 = 22
8a + 2 = 22
Answer:
I would recommend...
Step-by-step explanation:
try using a website called WolframAlfa. its easy to use just plug in the equation and It will give you a step-by-step.
:) hope this helps lol
How many integer solutions are there to x1+x2+x3+x4+x5=31 with(a) xi≥0(b) xi>0(c) xi≥i(i=1,2,3,4,5)
To find the number of integer solutions for x1+x2+x3+x4+x5=31 with the given conditions, we can use the stars and bars formula. Therefore, the number of integer solutions to x1+x2+x3+x4+x5=31 with (a) xi≥0 is 5,814, with (b) xi>0 is 4,755, and with (c) xi≥i (i=1,2,3,4,5) is 8,907.
a) xi≥0: In this case, we can use the formula (n+k-1) choose (k-1) where n is the number of stars (31 in this case) and k is the number of bars (4 in this case since there are 5 variables). Therefore, the number of solutions is (31+4-1) choose (4-1) = 34 choose 3 = 5,814.
b) xi>0: In this case, we can subtract 1 from each variable to get y1+y2+y3+y4+y5=26 with yi≥0. Then, we can use the same formula to get the number of solutions which is (26+4-1) choose (4-1) = 29 choose 3 = 4,755.
c) xi≥i: In this case, we can subtract i from xi to get z1+z2+z3+z4+z5=16 with zi≥0. Then, we can use the same formula to get the number of solutions which is (16+4-1) choose (4-1) = 19 choose 3 = 8,581 for i=1, 13 choose 3 = 286 for i=2, 7 choose 3 = 35 for i=3, 4 choose 3 = 4 for i=4, and 1 for i=5.
Therefore, the total number of solutions is 8,581+286+35+4+1 = 8,907.
Therefore, the number of integer solutions to x1+x2+x3+x4+x5=31 with (a) xi≥0 is 5,814, with (b) xi>0 is 4,755, and with (c) xi≥i(i=1,2,3,4,5) is 8,907.
We need to find the number of integer solutions for the equation x1+x2+x3+x4+x5=31 with given constraints:
(a) xi≥0
(b) xi>0
(c) xi≥i for i=1,2,3,4,5
To solve this, we can use the stars and bars method for each case.
(a) xi≥0: We can treat the variables as stars, and we need to divide these 31 stars into 5 groups using 4 bars. We have 31 stars + 4 bars = 35 objects to arrange. So, the number of ways to arrange them is C(35, 4) = 52,360.
(b) xi>0: To satisfy this condition, we need to subtract 1 from each variable, so we have x1+x2+x3+x4+x5=31-5=26. Now, we need to divide these 26 stars into 5 groups using 4 bars. We have 26 stars + 4 bars = 30 objects to arrange. So, the number of ways to arrange them is C(30, 4) = 27,405.
(c) xi≥i for i=1,2,3,4,5: Here, we subtract the minimum value for each variable: x1+x2+x3+x4+x5=31-1-2-3-4-5=16. Now, we need to divide these 16 stars into 5 groups using 4 bars. We have 16 stars + 4 bars = 20 objects to arrange. So, the number of ways to arrange them is C(20, 4) = 4,845.
In summary, there are:
(a) 52,360 integer solutions for xi≥0,
(b) 27,405 integer solutions for xi>0, and
(c) 4,845 integer solutions for xi≥i for i=1,2,3,4,5.
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PLEASE HELP THIS IS FOR A TEST I AM TAKING RN AND MY TEACHER DOESN'T TEACH US AT ALL!!!
You are a graphic artist. You are given an image that is 1.2 inches tall and 2.1 inches wide. Your customer wants the image enlarged to create a banner 7 feet wide. Calculate how tall your banner should be to create a proportional image. Remember to include correct units in your answer!
Height / Width = 1.2in / 2.1in
Height / Width x / 84in (7feet)
Solve for X using cross multiplation
2.1x = 1.2 * 84
2.1x = 100.8
x (height) = 48 inches or 4 feet.
Evaluate limx-4 √x-2/ x-4 without using L'Hospital's Rule, i.e. using a strategy we
studied in Chapter 2.
The limit is equal to 1/4. To evaluate the limit lim(x→4) (√x-2)/(x-4) without using L'Hospital's Rule, we can use a technique from Chapter 2 involving algebraic manipulation. First, multiply the numerator and denominator by the conjugate of the numerator:
lim(x→4) [(√x-2)/(x-4)] * [(√x+2)/(√x+2)]
In mathematics, a limit is the value that a function approaches as the input approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.
This simplifies to:
lim(x→4) [(x-4)/((x-4)(√x+2))]
Now, you can cancel out the (x-4) terms:
lim(x→4) [1/(√x+2)]
Now, substitute x = 4:
1/(√4+2) = 1/4
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Can someone please help on both questions!! Thank you
Question 7
Answer: A) 15---------------------
Work Shown:
angle B = angle D = 56
angle C = angle F = 64
The missing angle A adds with B and C to get 180
A+B+C = 180
A = 180-B-C
A = 180-56-64
A = 60
Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.
angle E = angle A
3x+15 = 60
3x = 60-15
3x = 45
x = 45/3
x = 15
Side note: I'm not sure why your teacher marked angle E as the same as angles C and F. They should have used another angle marker to indicate that angles A and E are the same.
================================================
Question 8
Answer: B) 17------------------------------
Work Shown:
Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.
Therefore, we have these three pairings
angle A = angle Eangle B = angle Dangle C = angle FWe'll first need angle C
A+B+C = 180
C = 180-A-B
C = 180-42-108
C = 30
which we'll then solve for x
angle F = angle C
4x-4 = 30
4x = 30+4
4x = 34
x = 34/4
x = 8.5
which doubles to
2x = 2*8.5
2x = 17
Solve 2x + 5 = 12 please
Answer:
\(x = \frac{7}{2}\)Step-by-step explanation:
move all the terms that don't contain x to the right side and solve.
¯\_(ツ)_/¯
A sequence starts with the terms 1 and 10.
a. Find the next two terms if it is arithmetic: 1, 10, _,_,
b.find the next two terms if it is geometric: 1,10,_,_.
C find two possible next terms if it is neither arithmetic nor geometric: 1,10_,_.
Answer:
1, 10, 19, 28
1, 10, 100, 1000
1, 10, 1, -8
Step-by-step explanation:
The next two terms if it is arithmetic are 19 and 28.
The next two terms if it is geometric are 100 and 1000.
The two possible next terms, if it is neither arithmetic nor geometric, are 27 and 52.
Given,
A sequence starts with the terms 1 and 10.
We need to find
- the next two terms if it is arithmetic: 1, 10,,.
- the next two terms if it is geometric: 1,10,.
What are the types of sequences?Arithmetic sequence -A sequence where the difference between the consecutive term is the same.
The difference is called common difference denoted by d.
To find the nth term we use:
a_n = a + ( n - 1 ) d.
Geometric sequence - A sequence where each term is found by multiplying the preceding by a common ratio.
a_n = a_1 r^(n-1)
If 1, 10, , , is an arithmetic sequence.
a_1 = 1
d = 10 - 1 = 9
d = 9
a1 = 1
a2 = 10
a3 = 1 + ( 3 - 1 ) 9
a3 = 1 + 2 x 9 = 1 + 18 = 19
a3 = 19
a4 = a + ( 4 - 1 ) 9
a4 = 1 + 3 x 9 = 1 + 27 = 28
The given sequence is 1, 10, 19, 28.
If 1, 10, , , is a geometric sequence.
a_1 = 1
r = 10 / 1 = 10
a_n = a_1 r^(n-1)
a_3 = 1 x 10^(3-1)
a_3 = 10^2 = 100
a_4 = 1 x 10^(4-1)
a_4 = 10^3 = 1000
The given sequence is 1, 10, 100, 1000.
If 1, 10, , , is neither arithmetic nor geometric.
We can have,
(1 x 1) , (2 x 5), (3 x 9), (4 x 13)
1, 10, 27, 52
Thus,
The next two terms if it is arithmetic are 19 and 28.
The next two terms if it is geometric are 100 and 1000.
The two possible next terms, if it is neither arithmetic nor geometric, are 27 and 52
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Nell's mortgage is $50,150 at 10 percent for 30 years.
What is her monthly payment if she must pay $8.78 per $1,000?
Answer:
The correct option is a.
Step-by-step explanation:
It is given that Nell's mortgage is $50,150 at 10 percent for 30 years and she must pay $8.78 points per $1,000.
EMI on $1000 is $8.78, so EMI on $1 is
EMI on $1 = 8.78/1000 = 0.00878
EMI on $50150 is
EMI on $50150 = 0.00878 x 50150 = 440.317 = 440.32
Therefore the correct option is a.
Hope this help you! ^_^
What’s the answer, I will mark brainless
Answer:
68x
Step-by-step explanation:
you first of all find the area
1/2b×h=
1/2x×34
1/2×1/34x
68x
PLEASE HELP! :) IMAGE IS BELOW!! QUESTION: Describe a series of transformations that will transform ∆ABC to ∆A'B'C'.
Answer:
Dilation and translation.
Hope that helps!
Step-by-step explanation:
Does anyone know how to solve this question?
Answer:
Step-by-step explanation:
X^2 - 11 = -2x + 4
X^2 + 2x - 15 = 0
(x - 3)(x + 5) = 0
x = 3 , -5
7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 and 18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = { vt ++3 dt Jo Answer 8. g(x) = {* In (1+tº) dt
By using Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is ln(sqrt(x + x^3)). The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is ln(1 + x^2).
The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.
So, applying this theorem, we have:
g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]
= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)
= ln(sqrt(x + x^3))
Therefore, g'(x) = ln(sqrt(x + x^3)).
Using the Fundamental Theorem of Calculus, we have:
g'(x) = d/dx [∫1_x ln(1 + t^2) dt]
= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)
= ln(1 + x^2)
Therefore, g'(x) = ln(1 + x^2).
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____The given question is incomplete, the complete question is given below:
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0. 8. g(x) = { In (1+t^2) dt} where limit are from x to 1.
How many miles closer to Omaha is Chicago than Dallas? Use the table and follow the steps below to solve. a. Estimate the answer. b. Write the solution to the problem in word form. c. Explain why your answer is reasonable.
Based on the distances between the cities, the answer to this question will be 185 miles.
Distance between Dallas and Omaha - 644 miles
Distance between Chicago and Omaha - 459 miles
How much closer is Chicago to Omaha than Dallas?= Distance between Dallas and Omaha - Distance between Chicago and Omaha
= 644 - 459
= 185 miles
In conclusion, it is 185 miles which is One Hundred and Eighty Five miles.
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I WILL AWARD BRAINLIEST FOR CORRECT ANSWER :)
Answer:
The first one is correct
The second one is 20years
The third one is £8820
Step-by-step explanation:
PLEASE I NEED HELP NOW!!!!
Answer:
80
Step-by-step explanation:
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John took a 5-mile walk to his friend's house.
He left at 11 a.m. and arrived at his friend's house at 12:45 p.m.
If the return trip took a half hour longer,
what is the average speed on the return trip?
Answer:
2 hours
Step-by-step explanation:
add the time before and after adding 30 mins. (1 hour and 45 minutes/ 2 hours and 15 mins.) then divide by 2
classify each structure according to its functional class. compound a contains a carbonyl bonded to two alkyl groups. compound b contains an oxygen bonded to two alkyl groups. compound c contains a carbonyl bonded to propyl and n h c h 3. compound d is a nitrogen bonded to three alkyl groups.
The classification of the compounds according to their functional class: A | Aldehyde
B | Alcohol
C | Ketone
D | Amine
Compound A contains a carbonyl group (C=O) bonded to two alkyl groups (R-). This is the general structure of an aldehyde. Aldehydes are characterized by their strong, sweet odor.
They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.
Compound B contains an oxygen atom (O) bonded to two alkyl groups (R-). This is the general structure of an alcohol. Alcohols are characterized by their ability to dissolve other polar compounds, such as water. They are also used in a variety of products, such as solvents, cleaners, and fuels.
Compound C contains a carbonyl group (C=O) bonded to a propyl group (CH3CH2CH2-) and an amino group (NH2). This is the general structure of a ketone.
Ketones are characterized by their strong, sweet odor. They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.
Compound D contains a nitrogen atom (N) bonded to three alkyl groups (R-). This is the general structure of an amine. Amines are characterized by their basic properties. They are also used in a variety of products, such as pharmaceuticals, plastics, and fertilizers.
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Warner received 7 letters. Each letter weighed between 3.92 ounces and 4.1 ounces. Warner estimates a reasonable weight of all the letters to be 30 ounces.
Is this a reasonable estimate?
The estimate made by Warner is 95% reasonable.
What is inequality? What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Warner received 7 letters and each letter weighed between 3.92 ounces and 4.1 ounces.
If the we take the maximum possible weight of each letter, which is 4 ounces, then the total weight of 7 letters will be equal to (4 x 7) = 28. But since the weights are weighted between 3.92 ounces and 4.1 ounces, let us assume that the weight of each letter is equivalent to -
w(a) = (3.92 + 4.10)/2 = 8.02/2 = 4.01
So, the weight of 7 letters would be -
W{7} = w(a) x 7 = 7 x 4.01 = 28.7
28.7 = 29 (round off) ≈ 30
So, yes the estimate of the Warner is reasonable.
Therefore, the estimate made by Warner is 95% reasonable.
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A Moving to another question will save this response. ≪ Question 16 4 points Jean purchases a house for $750,000 and is able to secure an interest only, 5 year fixed rate mortgage for $600,000 at 5% interest. After five year, the house appreciates to $792078.31. What is Jean's equity as a percent of the house value? Write your answer as a percent rounded to two decimal points without the % sign (e.g. if you get 5.6499%, write 5.65 ). Nastya takes our a 10-year, fixed rate, fully amortizing loan for $622422 with 5.2% interest and annual payments. What will be her annual payments? Round your answer to the nearest cent (e.g. if your answer is $1,000.567, enter 1000.57).
Nastya's annual payments on the loan will be approximately $7,350.68 (rounded to the nearest cent).
To find Jean's equity as a percent of the house value, we need to calculate the equity and divide it by the house value, then multiply by 100 to get the percentage.
Jean's equity is the difference between the house value and the mortgage amount. So, the equity is $792078.31 - $600,000 = $192,078.31.
To calculate the percentage, we divide the equity by the house value and multiply by 100: ($192,078.31 / $792078.31) * 100 = 24.26%.
Therefore, Jean's equity as a percent of the house value is 24.26%.
Now, let's move on to Nastya's question.
To calculate Nastya's annual payments on a fully amortizing loan, we need to use the formula for calculating the monthly payment:
P = r * PV / (1 - (1 + r)^(-n))
Where:
P = Monthly payment
r = Monthly interest rate (annual interest rate / 12)
PV = Present value of the loan
n = Total number of payments
Given:
PV = $622,422
Annual interest rate = 5.2%
n = 10 years
First, we need to convert the annual interest rate to a monthly interest rate: 5.2% / 12 = 0.43333%.
Next, we substitute the values into the formula and solve for P:
P = (0.0043333 * 622422) / (1 - (1 + 0.0043333)^(-10))
Using a calculator, we get P ≈ $7,350.68.
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What is your answer to the level 4 question? Do not include a comma in answer. Round to the nearest tenth.
please check the answer
Answer:
V=11550cm³
Step-by-step explanation:
V=1/3pier²h
V=1/3×22/7×21²×25
V=22×21×25
V=11550cm³