Step-by-step explanation:
\(2015 \: - \: (2015 \: \div \: 5(x \: - \: 5) \: \div 5) \: = \: 2014\)
First we do the division, and then we convert the division to a fraction.\(2015 \: - \: (403 \: \times \: \frac{x \: - \: 5}{5} ) \: = \: 2014\)
We proceed to calculate the product of the parentheses.\(2015 \: - \: \frac{403(x \: - \: 5)}{5} \: = \: 2014\)
We distribute "403" in the terms.\(2015 \: - \: \frac{403x \: - \: 5}{5} \: = \: 2014 \)
We proceed to multiply both sides of the equation by "5".\(10075 \: - \: (403x \: - \: 2015) \: = \: 10070\)
Since we want to remove the parentheses but there is a negative sign in front (-) we change the signs of each term that contains the parentheses.\(10075 \: - \: 403x \: + \: 2015 \: = \: 10070\)
We add the positive numbers.\(12090 \: - \: 403x \: = \: 10070\)
We pass the member to the right side changing the sign.\( - 403x \: = \: 10070 \: - \: 12090\)
We subtract the numbers.\( - 403x \: = \: - 2020\)
Finally, we divide both sides of the equation by "403".\( \boxed{ \bold{x \: = \: \frac{2020}{403} }}\)
MissSpanishWhich statement about the zeros of the graphed function is true?
A polynomial function passes through (0.8, 4), (2, minus 4), (4.6, 0.5), (6, 0), and (7.5, 8) also intercepts the x-axis at 1, 4 and 6 units.
A.
The function has three distinct real zeros.
B.
The function has two distinct real zeros and two complex zeros.
C.
The function has four distinct real zeros.
D.
The function has one distinct real zero and two complex zeros.
The function has three distinct real zeros.
The correct answer is A.
To determine the statement about the zeros of the graphed function, let's analyze the given information.
We have the following points on the graph:
(0.8, 4), (2, -4), (4.6, 0.5), (6, 0), and (7.5, 8)
Additionally, the function intercepts the x-axis at 1, 4, and 6 units.
To find the zeros of the function, we need to identify the x-values where the function intersects the x-axis.
From the given information, we know that the function intersects the x-axis at 1, 4, and 6 units.
These three x-values correspond to three distinct real zeros of the function.
The correct statement about the zeros of the graphed function is:
The function has three distinct real zeros.
The correct answer is A.
For such more questions on real zeros
https://brainly.com/question/29286241
#SPJ8
The angles are supplementary angles determine the measures of each
Answer:
Step-by-step explanation:
The angles are supplementary, so they add to 180.
x + (6x -2 ) = 180
7x = 182
x = 182/7 = 26 = m∠2
6(26) - 2 = 154 = m∠1
Giải phương trình vi phân
a. dy/dx
b. y' + 2xy = 4x
Your first differential equation is incomplete, so I'll just look at the second one.
y' + 2xy = 4x
Multiply both sides by exp(x ²):
exp(x ²) y' + 2x exp(x ²) y = 4x exp(x ²)
The left side is the derivative of a product:
(exp(x ²) y )' = 4x exp(x ²)
Integrate both sides:
exp(x ²) y = ∫ 4x exp(x ²) dx
For the integral, substitute u = x ² and du = 2x dx :
exp(x ²) y = 2 ∫ exp(u) du
Solve for y :
exp(x ²) y = 2 exp(u) + C
exp(x ²) y = 2 exp(x ²) + C
y = 2 + C exp(-x ²)
two glasses of milk and 4 snack bars have a total of 78 carbohydrates (carbs), and 4 glasses of milk and 3 snack bars have a total of 86 carbs. Determine how many carbs are in one glass of milk and in one snack bar.
there are ____ carbs in one glass of milk
there are ____ carbs in one snack bar
Step-by-step explanation:
Answer: there are 11 calories in one glass of milk and 14 calories in one snack bar.
Step-by-step explanation:
Take milk to to be M and snack bars to be S.
Use algebra, so
2m + 3s = 64 and also
4m + 2s = 72
Multiply the top equation by 2 so both have 4m, so
4m + 6s = 128 and also
4m + 2s = 72
Then minus the numbers form the top equation by the bottom equation, so
4m + 6s = 128
- - -
4m + 2s = 72
This gives you 4s=56 so divide by 4 so s=14
No put 14 into the equation for s and rearrange to solve for m, so
2m+3s=64 So
2m+3x14=64
2m+42=64
Then minus 42
2m=22
m=11
The points J (9,7), K (2,1), L(0,−8) and M (7,−2) form quadrilateral JKLM.
Plot the points
slope of JK =
length of JK =
slope of KL =
length of KL =
slope of LM =
length of LM =
slope of MJ =
length of MJ =
Quadrilateral JKLM can BEST be described as
Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.
To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:
J(9, 7) K(2, 1)
L(0, -8) M(7, -2)
To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.
Slope of JK:
Slope (m) = (change in y) / (change in x)
m(JK) = (7 - 1) / (9 - 2) = 6/7
Length of JK:
Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]
d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85
Slope of KL:
m(KL) = (-8 - 1) / (0 - 2) = -9/2
Length of KL:
d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85
Slope of LM:
m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)
Length of LM:
d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85
Slope of MJ:
m(MJ) = (7 - (-2)) / (9 - 7) = 9
Length of MJ:
d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40
Based on the calculations, we can describe quadrilateral JKLM as follows:
The slope of JK and LM is 6/7.
The slope of KL is -9/2.
The slope of MJ is 9.
The length of each side (JK, KL, LM, MJ) is √85.
The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.
For more such question on Quadrilateral. visit :
https://brainly.com/question/23935806
#SPJ8
Which of these is an opinion
(helppp)
Answer:
A
Step-by-step explanation:
because all the other ones are facts
Identify the algebraic rule that would translate a figure 3 units left and 2 units up.
The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). Option B.
To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.
When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.
Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.
Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.
For more question on algebraic visit:
https://brainly.com/question/30652385
#SPJ8
Is the answer to this math problem A?
The inverse of any function is when you switch the position of the 'y' and 'x' variables, like such:
\(x = \sqrt[3]{y+10} \\x^3=y+10\\y = x^3-10\\f^{-1} (x)=x^3-10\)
Hope that helps!
Combine the like terms to create an equivalent expression 4p+6-3
Answer:
-3/4
Step-by-step explanation:
4p+6-3=0
4p+3=0
4p=-3
p= -3/4
please help, 50 points :)
Answer:
ok nice for me i get 25 points hahahhahhah
Step-by-step explanation:
Answer:
ok nice for me i get 25 points hahahhahhah
Step-by-step explanation:
HELPNEEDED.Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pianist, the other as the alternate.
What is the probability that the pianist will be a boy and the alternate will be a girl?
30%
40%
50%
60%
Which of the following numbers is irrational?
Answer:
D
Step-by-step explanation: always remember that sign as irrational
a high school sells students tickets for $5 as well as general admission tickets for $7 to attend thier football games. The school needs to bring in at least $1500 per game in order to maintain the costs of the football team
The cost of students ticket is $37.5and the cost of general admission is $187.5.
What is system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.
Assume s be the students tickets cost and g be the general admission cost.
From the given information,
⇒ s + g = 225 ..(1)
5s + 7g = 1500 ..(2)
From equation (1),
s = 225 - g
Plug the value of s in equation (2)
5(225 - g) + 7g = 1500
1125 - 5g + 7g = 1500
2g = 1500 - 1125
2g = 375
g = 187.5
Plug g = 125 in equation (1),
s + 187.5= 225
s = 225 - 187.5
s = 37.5
To know more about system of equations, click on the link
brainly.com/question/13729904
#SPJ1
12+6÷2-3.5 hurry pls
Answer:
5.5
Step-by-step explanation:
12+6=18
18÷2=9
9-3.5=5.5
Answer: You use the method of pendas and in this case u gonna do first the division, then addition and last substract. first u do 6/2 = 3. Now that u had that answer you sum 3 + 12 = 15 - 3.5 = 11.5
Please help you get 100 points and brainly
You have points R(2, 10) and S(6, - 8).
There two ways to construct a right triangle with RS being a hypotenuse.
Please see both ways reflected in the attached.
One triangle is RST and another one is RSU with red or blue legs.
write the equation of lines shown on the graph.
Answer: um look it up or cause i dont know how to get out of answering this cause i clicked answer so this is here my bad
Step-by-step explanation:
At 5:00 a.m., the temperature outside was 1°F below zero. By noon, it rose by 12°F. At 7:00 p.m., the temperature dropped by 6°F. What was the evening temperature?
Answer:
5 Fahrenheit
Step-by-step explanation:
In the morning, it was 1 below zero. Subtract.
0 - 1 = -1.
Then, it went up 12 degrees.
-1 + 12 = -11.
In the evening, it went down -6.
11 - 6 = 5.
The answer is 5.
2
x 6 =
5
What is ttsgsfsyysyyzhzjkanabzhhzhxvgxgxgvxbxbxvxvvxvxvxvxushd
Answer:
what's that? lol
Step-by-step explanation:
should I make the question? lol
2×6×5= 60
great day :)
4 x 5 - (2² - 2) =?
(18 ÷ 3) + (3² - 7) =?
solve the inequality-2+4x<14
Answer: x<4
Step-by-step explanation:
If we break this down as
-2+4x<14 and we add 2 to both sides
4x+<16 and divide by 4
and you get x<4
Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answer:
The cost of the meal should be multiplied by 1.19.---------------------------------------
Let the cost of the meal be x.
Adding a tip of 19%:
x + 19% = x + 0.19x = x (1 + 0.19) = 1.19xAnswer:
Wyatt should multiply with 1.19.
Step-by-step explanation:
Forming the expression,
→ 1 + (19% of 1)
Now the required number is,
→ 1 + (19% of 1)
→ 1 + ((19/100) × 1)
→ 1 + (19/100)
→ 1 + 0.19 = 1.19
Hence, required number is 1.19.
R IN Complete the following statement. The quotient of 5 = A is equal to the quotient of A +5. А. B C D E O== 0 1 NEXT QUESTION O ASK FOR HELP
A=5 and 0=5A is there answer
If I am buying something that cost $1,560 and a 7% is added what’s is my total?
Answer: $1669.20
Step-by-step explanation:
1% of $1560=$15.60
$15.60x7=$109.20
$1560+$109.20=$1669.20
A conclusion which is arrived at by Inductive reasoning is called a _____?
Answer: A conclusion you reach using inductive reasoning is called conjecture.
Step-by-step explanation: Examining several specific situations to arrive at a conjecture is called inductive reasoning.
A conclusion that is arrived by inductive reasoning is called a conjecture.
An inductive reasoning is made following observable patterns. For instance when the patterns occurring in a sequence are closely monitored, inductive reasoning can be used to know what would be the next terms of the sequence.
A conjecture is a conclusion that one gets to while they are using the inductive type of reasoning.
Read more on https://brainly.com/question/3602353?referrer=searchResults
Please help me in this math problem
Answer:
Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!
The scores on a test are normally distributed with a mean of 130 and a standard deviation of 26. What is the score that is 25 standard deviations below the mean?
Answer: The z-score for an ACT score of 26 is 0.17.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that
Find the z-score for an ACT score of 26.
This is Z when X = 26. So
The z-score for an ACT score of 26 is 0.17.
The z-score for an ACT score of 26 is 0.17.
What is z-score?
When assessed in terms of standard deviation units, a raw score's location in relation to its distance from the mean is indicated by a z-score. If a value is above the mean, the z-score is positive; if it is below the mean, it is negative.
In a set with mean and standard deviation , the z-score of a measure X is given by: z-score=(x-μ)/σ
How do you find z-score?
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that
We need to find z-score for an ACT score of 26.
This is Z when X = 26. So
The z-score for an ACT score of 26 is 0.17
Learn more about z-score,
https://brainly.com/question/25638875
#SPJ2
A highway inspector needs an estimate of the mean weight of trucks crossing a bridge on the interstate highway system. she selects a random sample of 49 trucks and finds a mean of 15.8 tons with a sample standard deviation of 3.85 tons. the 90 percent confidence interval for the population mean is:
Answer:
14.90 to 16.70 tons
Step-by-step explanation:
We are given;
Sample size; n = 49
Mean; x¯ = 15.8
Sample standard deviation; s = 3.85
At 90% Confidence interval, z = 1.645
Formula for confidence interval is;
CI = x¯ ± z(s/√n)
Thus;
CI = 15.8 ± 1.645(3.85/√49)
CI = 15.8 ± 0.90
CI = 14.90 to 16.70 tons
for F(x) = 2x + 1 and G(x) = x^2 - 7, what is (F.G)(x)
Answer:
Step-by-step explaThe composition of two functions F(x) and G(x), denoted by (F.G)(x), is obtained by first evaluating the function F(x) for some argument x, and then plugging that result into the function G(x). In other words, (F.G)(x) = G(F(x)).
So, for the given functions F(x) = 2x + 1 and G(x) = x^2 - 7, we have:
(F.G)(x) = G(F(x)) = G(2x + 1) = (2x + 1)^2 - 7
So, the composition of F(x) and G(x) is (F.G)(x) = (2x + 1)^2 - 7nation:
pleas anwear fast
Graph the function.
�
(
�
)
=
4
⋅
(
3
2
)
�
f(x)=4⋅(
2
3
)
x
f, left parenthesis, x, right parenthesis, equals, 4, dot, left parenthesis, start fraction, 3, divided by, 2, end fraction, right parenthesis, start superscript, x, end superscript
The graph of the function f(x) = 4(2/3)^x is added as an attachment
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x)=4⋅(
2
3
)
x
Express the equation properly
So, we have
f(x) = 4(2/3)^x
The above expression is a an equation of a exponential function
Next, we plot the graph using a graphing tool
To plot the graph, we enter the equation in a graphing tool and attach the display
See attachment for the graph of the function
Read more about graphs at
https://brainly.com/question/30390162
#SPJ1
A fashion designer wants to know how many new dresses women buy each year. A sample of 208 women was taken to study their purchasing habits. Construct the 85% confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 6.2. Assume that the population standard deviation is 1.1.
Answer:
The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).
Step-by-step explanation:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.85}{2} = 0.075\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.075 = 0.925\), so Z = 1.44.
Now, find the margin of error M as such
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.
\(M = 1.44\frac{1.1}{\sqrt{208}} = 0.1\)
The lower end of the interval is the sample mean subtracted by M. So it is 6.2 - 0.1 = 6.1
The upper end of the interval is the sample mean added to M. So it is 6.2 + 0.1 = 6.3
The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).