Answer:
x = 6y = - 1Step-by-step explanation:
2x + 5y = 7 ......... Equation 1
x = 2 - 4y .......... Equation 2
Substitute x that's equation 2 into equation 1 and solve for y
That's
2( 2 - 4y ) + 5y = 7
4 - 8y + 5y = 7
- 3y + 4 = 7
- 3y = 7 - 4
- 3y = 3
Divide both sides by - 3
y = - 1
Substitute the value of y into equation 1
That's
x = 2 - 4(-1)
x = 2 + 4
x = 6
Therefore the solutions are
x = 6y = - 1Hope this helps you
Can anyone help me on this one
Hello !
Answer :
\({x}^{ - \frac{8}{3} }\)\(\sqrt[3]{ {x}^{ - 8} }\)\(\sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }\)Explanation :
\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)
\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)
\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)
Have a nice day ;)
The difference of six times a number and eight times the same number is 12.
You picked one marble out of a bag that contains 6 red marbles, 5 white marbles, and 3 blue marbles. Find p(red and blue).
PLEASE HELP!! i’ll mark you brainliest please !
Kendall has eaten 74/100 of her sandwich. Parker ate 5/10 of his sandwich. How much more of a sandwich did Kendall eat than Parker?
Answer: 24/100 more
Step-by-step explanation:
Answer:
kendall ate 24/100 more than parker
What does the point where the line crosses the y-axis mean for each sponsor?
Answer:
That's what they started out with.
Step-by-step explanation:
In this case, the sponsors each had different starting amounts of money.
An investment company advertised that last year its clients, on average, made a profit of 8% . Assuming that average refers to the mean, which of the following claims must be true based on this information?
a. This year some of their clients will make a profit of at least 8%.
b. Last year some of their clients made a profit of at least 8%.
c. Last year more than half of their clients made a profit of at least 8%.
d. Last year at least one of their clients made a profit of more than 11%.
e. Last year at least one of their clients made a profit of exactly 8%.
f. None of the above statements is true.
Answer:
The answer is "Option 2".
Step-by-step explanation:
Please find the complete question in the attached file.
When there is a mean value k in a set of data. Otherwise, we will assert with certainty that at least one of the values is k. They can't say anything at all about the maximum or even the minimum using knowledge only. Nevertheless, we know that certain numbers cannot be over and that all numbers cannot be below than mean. Mean also no value throughout the data set must be equal.
Graph the equation. Identify the intercepts.
1.) y + 2 = -4(x - 2)
x-int:
y-int:
For the following equation, the x-intercept is (3/2, 0) and the y-intercept is (0, 6).
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Here,
y+2=-4(x-2)
for x-intercept=(x,0)
2=-4(x-2)
2=-4x+8
4x=6
x=6/4=3/2
for y-intercept=(0,y)
y+2=-4(*-2)
y=6
The x-intercept is (3/2,0) and y-intercept is (0,6) for given equation.
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Find the equation of the line tangent to……
Photo is attached to see full problem. Please help! Will give brainliest!!
Answer:
\(y=\dfrac{3x}{2\sqrt 2}+\sqrt 2\)
Step-by-step explanation:
\(\text{Given that,}\\\\y = f(x)= \sqrt{2x^2 +3x +2 }\\\\\text{Plug x = 0 in the equation,}\\\\y = \sqrt{2 \cdot 0^2 +3 \cdot 0 +2} =\sqrt{2}\\ \\\text{So, the coordinate is~} \left(0,\sqrt 2 \right).\\\\\text{Now,}\\\\\text{Slope} = f'(x)\\\\~~~~~~~~=\dfrac{1}{2\sqrt{2x^2 +3x +2 }} \cdot \left(4x+3+0\right)\\\\\\~~~~~~~=\dfrac{4x+3}{2\sqrt{2x^2 +3x +2}}\\\\\\\)
\(~~~~~=\dfrac{4\cdot 0 +3 }{2 \sqrt{ 2 \cdot 0^2 +3 \cdot 0 + 2}}~~~~~~~~~~~~~~;[\text{at x = 0}]\\\\\\~~~~~~=\dfrac{3}{2\sqrt 2}~~~~~~~~~~~~~~\)
\(\text{Equation of tangent line,}\\\\~~~~~~~y-y_1 = f'(x) (x-x_1)\\\\\\\implies y - \sqrt 2 = \dfrac 3{2 \sqrt 2} \left(x - 0\right)\\\\\\\implies y = \dfrac{3x}{2\sqrt 2}+\sqrt 2\\\)
4x -2 + 5x + 6
What does this equAl
Answer:
9x + 4
Step-by-step explanation:
Step 1: Write expression
4x - 2 + 5x + 6
Step 2: Combine like terms (x)
9x - 2 + 6
Step 3: Combine like terms (constants)
9x + 4
Answer:
9x + 4
Step-by-step explanation:
discuss the implications for classroom practice relative to understanding learning difficulties in mathematics. 1.variations in teaching strategies
The implications for classroom practice relative to understanding implications for mathematics teaching .
What are the social cognitive theory's guiding principles?
The five following social cognition and behavior principles are discussed: (1) the influence of situation on conduct; (2) blindness to situational influences; (3) social perception and self-perception are constructive processes; (4) blindness to the constructed character of social and self-perception; and (5) self.
What does SCT mean by self-regulation?
When faced with externally imposed stimuli, self-regulation enables a person to maintain control over their behavior or response. A person's ability to self-regulate is strengthened through feedback, an externally imposed control that enables behavior modification.
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American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 53.0% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone.
Required:
a. What is the random variable?
b. What is the probability that none of the households in the sampled group have landline phone service?
c. What is the probability that exactly five of the households in the sampled group have a landline phone service?
Solution :
a). According to the reports, 53.0% of the American households still have a landline phone service. Out of which 8 households are randomly called.
Here, the landline phone service is p = 53.0%
n = 8
Therefore, q = 1 - p
= 1 - 0.53
= 0.47
here we use the binomial distance because the probability of having the landline phone service is constant and the number of the trial are finite.
b). Let x be the number of household in the sample group having landline phone service.
Probability that none of the household in the sample group have a landline service is
= P( x = 0)
\($=^8C_0 (0.53)^0(0.47)^8$\)
= 0.002 (using the binomial calculation )
c). Probability that exactly 5 of the household in the sample have a landline service is given by :
P(x = 5)
\($=^8C_5 (0.53)^5(0.47)^3$\)
= 0.24
You are traveling in a car. Your speed is 30 miles per hour. What is your speed in feet per minute?
Answer:
.5
Step-by-step explanation:
30 miles a hour divide by 60 so your going half a mile a minute
Your speed in feet per minute is 2640 ft/min.
What is unit rate?A unit rate means a rate for one of something.
Given that, Your rate of speed is 30 miles for every 1 hour
We know, 1 mile = 5280 feet
Therefore, 30 miles = 30x5280 = 158400 feet
That means, you are travelling 158400 feet for every hour
In an hour, there are 60 minutes,
Therefore, you are travelling 158400 feet in every 60 minutes.
In 60 minutes = 158400 feet
In 1 minute = 158400/60 = 2640 feet
That means you are travelling 2640 feet in every 1 minute.
Hence, your speed in feet per minute is 2640 ft/min.
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(A) 2 2/3 =2 + 2 + 3 (B) 2 2/3 = 1 + 1 + 2 + 3 (C) 2 2/3 = 1 + 1 + 1/3 + 1/3 (D) 2 2/3= 1 + 1 + 1/3 Which equation is true?
Answer:
C
Step-by-step explanation:
This is because C is the only answer that equals 2 2/3
Option C (2 2/3 = 1 + 1 +1/3 + 1/3) is the correct equation.
A) 2 + 2 + 3 = 7
B) 1 + 1 + 2 + 3 = 7
C) 1 + 1 + 1/3 + 1/3 = 2 2/3
D) 1 + 1 + 1/3 = 2 1/3
I attached a picture to make it simpler!
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
a player scored 89 points in a single professional basketball game. he made a total of 55 baskets, consisting of field goals (worth two points) and fouls shots (worth one point). find the number of field goals and the number of fouls shots that the player made
The player made 38 foul shots.
Let's indicate the player's total number of field goals made by F and foul shots attempted by S. Based on the data in the problem, we may construct an equation system:
F + S = 55 (the player made a total of 55 baskets) (the player made a total of 55 baskets)
2F + S = 89 (the player scored a total of 89 points) (the player scored a total of 89 points)
The substitution approach can be used to find the values of F and S. We start by resolving the initial S equation:
S = 55 - F
Next, we change S in the second equation to the following expression:
2F + (55 - F) = 89
When we simplify and find F, we obtain:
F = 17
Hence, the player connected on 17 field goals. We may change this value of F into the first equation and then solve for S to determine the total number of foul shots:
17 + S = 55
S = 38
The player so scored 38 fouls.
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1. The value of y varies directly with x. If
x = 13, then y = 65. What is the value of x
when y = 35?
Answer: x=7
Step-by-step explanation:
To find the value of x, we can set a proportion since the problem states that "y varies directly with x".
\(\frac{13}{65} =\frac{x}{35}\)
Here, we see that the x is the numerator and y is the denominator.
\(\frac{13}{65} =\frac{x}{35}\) [cross multiply]
\(455=65x\) [divide both sides by 65]
\(x=7\)
Now, we know that x=7. Logically, we know this is also correct because y=35 is less than y=65. This tells us that x has to be smaller than x=13.
Graham is folding a piece of paper to make an origami figure. Each time he folds the paper, the thickness of the paper is doubled. The paper starts out flat, with a thickness of 3 millimeters.
A. Write a list of six ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded. Explain how you came up with your ordered pairs.
B. Is this relation a function? Explain why or why not using the ordered pairs you came up with in Part A.
Answer:
A. Graph attached
B. It's a function. One input has only one output, it passed the vertical line test.
Step-by-step explanation:
a₀ = 3 a₁ = 6 = 3 x 2¹ a₂ = 6 x 2 = 3 x 2² ..... aₙ = 3 x 2ⁿ
answer graph attached
A list of ordered pairs may or may not represent a function.
The six ordered pairs are: \(\mathbf{(x,y) = \{(0,3),(1,6),(2,12),(3,24),(4,48),(5,96)\}}\).The ordered pair is a function.(a) The ordered pair
Let x represent the number of folds, and y represent the thickness.
So, the first ordered pair is:
\(\mathbf{(x,y) = (0,3)}\)
When x increases by 1, the value of y gets doubled.
So, the six ordered pairs are:
\(\mathbf{(x,y) = \{(0,3),(1,6),(2,12),(3,24),(4,48),(5,96)\}}\)
(b) Is the ordered pair, a function
In (a), we have:
Every x value has a different corresponding y value.
This means that the ordered pair is a function.
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Part 2 - Find the error(s) and solve the problem correctly. Explain your corrections. Solve: 2cos x = 4 cos x sin 2 x Answer: 2cos x = 4 cos x sin 2 x 2cos x = 4 cos x sin ( 2 x 2 cos x in common onboth sides) 1 = sin 2 x The only place sin x = 1 is where the angle is . π 2 x = π
Answer:
l dont know l am not studying it sorry
Answer:
hey what was the answer?
Step-by-step explanation:
I need help im going to failllll!!!!!!
Samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. The result is 120 grams of 15% sugar syrup. How much pure sugar is in x grams of 10% syrup?
Answer:
40 grams
Step-by-step explanation:
........................
Answer: 0.10x grams
Step-by-step explanation:
There are 100 candies in a candy dish. It took 3 bags of candy to fill the dish. How many candies
were there in each bag? (3 points)
PLEASE HELP. ILL MARK YOU BRAINIEST!
Answer:
33 candies in each bag but there's 1 bag with 34 candies
Answer:
33 and 34 in 1
Step-by-step explanation:
help pleaseeeeeee!!!!!!!
Answer:
a) 100π
Step-by-step explanation:
A = πr²
A = (10²)π
A = 100π
based on the spss output what cna you concllude about the relationship between degree attainment and age dbrn for men
There is sufficient statistical evidence at 5% level of significance that there is relationship between degree attainment and AGEKDBRN for women.
What is ANOVA model for men?
To ascertain whether there are any statistically significant differences between the means of three or more independent (unrelated) groups, the one-way analysis of variance (ANOVA) is used.
An n-way ANOVA allows a researcher to employ more than two independent variables (with n being the number of independent variables you have). For instance, any disparities in IQ scores can be investigated concurrently by country, gender, age group, ethnicity, etc.
Relationship between degree attainment and AGEKDBRN for women
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Find the component form of V given its magnitude and the angle it makes with the positive x-axis. (Round your answers to four decimal places.) ||V|| = 4, theta = 3.5degree v =
The component form of V is 0.650i + 0.375j
< 0.650 , 0.375 >
Horizontal Component
The direction of a vector in a two-dimensional coordinate system is determined by the angle it makes with the positive x-axis. Vector V is split into two components: v x and v y. V x is known as the Horizontal Component of the vector V. V y is known as the vertical component of the vector V.
In the i-direction is the horizontal component:
x = ||v|| cos(theta)
x = ¾ cos(30)
x = 0.6495190528
Vertical Component
Vertical component means the calculated vertical distance from the point of entry to the terminus of the lateral.
In the j-direction is the vertical component:
y = ||v|| sin(theta)
y = ¾ sin(30)
y = 0.375
0.650i + 0.375j
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Select all of the algebraic expressions that could represent the phrase below.
nine more than the product of 5 times the number of tires t
9 + 5t
5 ▪ t + 9
(9 + 5)t
(5 × t) + 9
5 + 9t
5t + 9
Step-by-step explanation:
"The product of five times the number of tires t" means that you need to multiply 5 and t. "Nine more" means you need to add 9 to the product of 5 and t.
Answer:
\(5 \: times \: the \: number \: of \: tires \: t \: = 5t. \\nine \: more \: than \: that \: is \: 9 + 5t.\)
hence the statement is represented by the expression 9 + 5t.
At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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Pls help will give brainlist
The table and corresponding image show the proof of the relationship
between the slopes of two parallel lines. What is the missing statement in
step 4?
A. c-d=b-a
B. b-c=d-a
OC. c-0=a-b
OD. d-0=8-a
Option A. c - 0 = b - a is the missing statement in Step 4 of the proof.
To determine the missing statement in Step 4 of the proof, let's examine the given table and image related to the relationship between the slopes of two parallel lines.
Step 1: Given the slopes of two parallel lines, m₁ and m₂.
Step 2: Assume two points on each line: (0, a) and (c, b).
Step 3: Calculate the slopes using the slope formula: m₁ = (b - a) / (c - 0) and m₂ = (d - a) / (0 - c).
Step 4: ??? (Missing Statement)
Step 5: Since the lines are parallel, the slopes are equal, so m₁ = m₂.
By analyzing the given information, we can identify the missing statement by comparing the calculated slopes:
From Step 3, we have:
m₁ = (b - a) / (c - 0)
m₂ = (d - a) / (0 - c)
Comparing the two slopes, we can see that (b - a) / (c - 0) = (d - a) / (0 - c).
To express this relationship, the missing statement in Step 4 should be:
A. c - 0 = b - a
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15 points help with math pls
Answer:
b or c i think
Step-by-step explanation:
not for sure just a guess
A particle moves in the xy plane so that at any time
,
x=3sint
and
.y=t-4cost+1
What is the vertical component of the particle's location when it's horizontal component is 2?
Responses
y = -1.05
y = -1.05
y = -2.25
y = -2.25
y = -1.25
y = -1.25
y = 0.73
The vertical component of the particle's location, when its horizontal component is 2, is:
y = -1.25
How to solveTo find the vertical component of the particle's location when its horizontal component is 2, we need to first find the value of t when x = 2.
Given the equation:
x = 3sin(t)
Substitute x with 2:
2 = 3sin(t)
Now, isolate t by dividing both sides by 3:
sin(t) = 2/3
Take the inverse sine (arcsin) of both sides:
t = arcsin(2/3)
Now, plug the value of t back into the y equation:
y = t - 4cos(t) + 1
y = arcsin(2/3) - 4cos(arcsin(2/3)) + 1
Using a calculator to find the approximate value of y, we get:
y ≈ -1.25
Therefore, the vertical component of the particle's location when its horizontal component is 2 is:
y = -1.25
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which of the following is not a characteristic of both surveys and observational studies?
a. the researcher direct control over at least one variable
b. data are collected about population
c. the researcher does not control or change the population
d. results are not used to prove cause and effect
The characteristic of the researcher having direct control over at least one variable to both surveys and Observational .
The option that is not a characteristic of both surveys and observational studies is:
a. The researcher has direct control over at least one variable.
Surveys and observational studies have several characteristics in common, such as collecting data about a population and not proving cause and effect. However, the characteristic of the researcher having direct control over at least one variable is not applicable to both surveys and observational studies.
In a survey, the researcher collects data by asking questions to individuals or groups. They do not have direct control over the variables being studied but rather collect information based on participants' responses. The researcher's role is primarily in designing the survey, selecting the sample, and analyzing the data.
In an observational study, the researcher observes and records data without intervening or manipulating any variables. The researcher does not have control over the variables being observed; instead, they observe and document the existing conditions or behaviors.
the characteristic of the researcher having direct control over at least one variable is not applicable to both surveys and observational studies. Both methods involve data collection about a population and do not establish cause and effect relationships, but control over variables is not a shared characteristic.
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488 = 4 hundreds 8 tens 8 ones we have 4 hundreds they can be divided into 4 groups with————————— hundred in each group
Answer:
I am not sure if I understand the question correctly, but I believe it would be 1 hundred in each group.
Step-by-step explanation:
400 divided by 4 = 100