The equation of the line that is perpendicular to y = 5 and that passes through the point (-7, -5) is x = -7.
We have to find the equation of a line that is perpendicular to y = 5 and that passes through the point (-7, -5).
y = 5 is a line that is parallel to the x-axis hence, the line perpendicular to it will be parallel to the y-axis.
Also, the line touches (-7,-5) hence, it will touch the line y = 5 at (-7,5).
Hence, the line perpendicular to y = 5 and that passes through the point (-7, -5) is x = -7.
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A major retailer has stuff of 6,400 employees for the holidays after the holiday they will decrease their staff bye 30 how many employees will they have after the holidays
Answer:
4480 employeesStep-by-step explanation:
Total number of staffs = 6400 employees
If after the holiday they will decrease their staff bye 30%, the amount of staffs decreased = 30% of 6400
= 30/100 * 6400
= 1920employees.
Amount of staffs that they will have after the holiday = Total staffs - decrement
Amount of staffs that they will have after the holiday = 6400 - 1920
= 4480employees
Marilyn grade on her math test teacher was 24/60. What was her percentage?
Answer:
40%Step-by-step explanation:
soln24/60 ×100%24/3×58×540% answeridentify the slope of the line in the graph below:a slope=5b slope=undefined c slope=0d slope=1
Given the vertical line, the slope of a straight line is expressed as;
\(m\text{ = }\frac{y_2-y_1}{x_2-x_{1_{}}}\)From the line, we can choose any two coordinates, using the coordinates (5, 0) and (5, 5)
x1 = 5, y1 = 0, x2 = 5 and y2 = 5
Substitute into the formula as shown;
\(\begin{gathered} m\text{ = }\frac{5-0}{5-5} \\ m\text{ = }\frac{5}{0} \\ m\text{ =}\infty \end{gathered}\)Any value divided by zero always tends to infinity. Hence the slope of the line is undefined.
Note that the slope of any vertical line does not exist.
In a study of helicopter usage and patient survival, among the 52,129 patients transported by helicopter, 188 of them left the treatment center against medical advice, and the other 51,941 did not leave against medical advice. If 60 of the subjects transported by helicopter are randomly selected without replacement, what is the probability that none of them left the treatment center against medical advice?The probability is
The probability that none of the 60 randomly selected patients left the treatment center against medical advice:
P(none left against medical advice) = (51941/52129)⁶⁰ = 0.8051091626179727
This means that there is an 80.51% chance that none of the 60 randomly selected patients left the treatment center against medical advice.
To understand this probability, we can break it down into smaller steps. First, we need to find the probability that a randomly selected patient did not leave against medical advice. This probability is equal to the number of patients who did not leave against medical advice divided by the total number of patients, which is 51941/52129 = 0.9982.
Next, we need to find the probability that 60 randomly selected patients all did not leave against medical advice. This probability can be calculated using the binomial distribution. The binomial distribution is a probability distribution that describes the probability of getting a certain number of successes in a series of independent trials. In this case, the trials are the individual patients being selected, and the success is the patient not leaving against medical advice.
The binomial distribution can be used to calculate the probability of getting 0 successes in 60 trials, which is equal to (0.9982)⁶⁰ = 0.8051091626179727.
This means that there is an 80.51% chance that none of the 60 randomly selected patients left the treatment center against medical advice.
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Anyone know how to solve this?
Answer:
0,-5 is the marking if that's your answer to the question
Helllp ASAP!!! I will give you a brainlist
Write the equation that describes the line with slope = 2 and y-intercept = in slope-intercept form.
O x = 2y +3/2
O y = 3\2+2
O y = 2x +3/2
O 2x + y =3/2
Answer:
y=2x+3/2
Step-by-step explanation:
2x is the slope and 3/2 is the y intercept
Answer:
y=2x+3/2
Step-by-step explanation:
because i said so.
i will give you brainliest
Answer:
6/30=1/5
16/48=1/3
Step-by-step explanation:
Answer:
the first one is 1/5 and the second one is 1/3
Step-by-step explanation:
3N and 3N+3 are two consecutive multiples of three.
a The sum of the two numbers is 141. Write down an equation to show this.
b Solve the equation to find the value of N
c Work out the values of the two initial numbers.
Answer:
Step-by-step explanation:
a) 3n+3n+3=141, 6n+3=141
b) 6n+3=141, 6n=138, n=23
c) 3n and 3n+3, 3(23) and 3(23)+3, 69 and 72
Solve the equation. u+3=7
Answer: 4
Step-by-step explanation:
u+3=7
u=7-3
u=4
Given that the sum of squares for error (SSE) for an ANOVA F-test is 12,000 and there are 40 total experimental units with eight total treatments, find the mean square for error (MSE).
To ensure that all the relevant information is included in the answer, the following explanations will be given.
There are different types of ANOVA such as one-way ANOVA and two-way ANOVA. These ANOVA types are determined by the number of factors or independent variables. One-way ANOVA involves a single factor and can be used to test the hypothesis that the means of two or more populations are equal. On the other hand, two-way ANOVA involves two factors and can be used to test the effects of two factors on the population means. In the question above, the type of ANOVA used is not given.
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There are 10 chocolates in a box.
7 of the chocolates have soft centres and 3 of the chocolates have hard centres. Kyla takes at random a chocolate from the box and eats it.
She then takes at random another chocolate from the box and eats it.
The probability of getting chocolates with harder center is 7/15.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Given that, there are 10 chocolates in a box. 7 of the chocolates have soft centers and 3 of the chocolates have hard centers.
Probability of choosing first chocolate with hard center is
Total number of outcomes =10
Number of favorable outcomes =7
Now, probability is 7/10
Probability of choosing second chocolate with hard center is
Total number of outcomes =9
Number of favorable outcomes =6
Now, probability is 6/9
Probability of an event = 7/10 × 6/9
= 7/10 × 2/3
= 7/5 × 1/3
= 7/15
Therefore, the probability of getting chocolates with harder center is 7/15.
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"Your question is incomplete, probably the complete question/missing part is:"
There are 10 chocolates in a box. 7 of the chocolates have soft centers and 3 of the chocolates have hard centers. Kyla takes at random a chocolate from the box and eats it. She then takes at random another chocolate from the box and eats it. Find the probability that Kyla chooses both the chocolates with a hard center.
which is the correct expression for calculating 20 percent of the existing field cost?
To calculate 20 percent of the existing field cost, you would need to multiply the field cost by 0.20.
This will give you the amount of the cost that represents 20 percent of the total.
For example, if the existing field cost is $10,000, the calculation would be:
$10,000 x 0.20 = $2,000
20 percent of the existing field cost is $2,000.
To calculate 20 percent of the existing field cost, you can use the following expression:
Existing Field Cost x 0.20 = 20% of Existing Field Cost
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Peremetere- 18cm,length = 3cm
Find the breadth and give a copmlete ans
The breadth of the rectangle is 6 cm.
To find the breadth, we can use the formula for the perimeter of a rectangle:
Perimeter = 2 × (length + breadth)
Substituting the given values, we get:
18 cm = 2 × (3 cm + breadth)
Simplifying the right side of the equation, we get:
18 cm = 6 cm + 2 × breadth
Subtracting 6 cm from both sides of the equation, we get:
12 cm = 2 × breadth
Dividing both sides by 2, we get:
breadth = 6 cm
Therefore, the breadth of the rectangle is 6 cm.
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Nick can type 30 words a minute. How many words can be typed in 9.5 minutes ?
Answer:
285 words in 9.5 min
Step-by-step explanation:
Use the appropriate conversion factor here:
30 words x
---------------- * -------------
1 minute 9.5 min
So x = number of words typed in 9.5 min = 285
Michael and Ashley each buy x pounds of turkey and y pounds of ham. Turkey costs $3 per pound at Store A and $4.50 per pound at Store B. Ham costs $4 per pound at Store A and $6 per pound at Store B. Michael spends $18 at Store A, and Ashley spends $27 at Store B. Could Michael and Ashley have bought the same amount of turkey and ham?
please help me please
Michael and Ashley bought same amount of turkey and ham.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Michael and Ashley each buy x pounds of turkey and y pounds of ham.
Michael purchased from store A.
Cost of turkey per pound at store A = $3
Cost of ham per pound at store A = $4
Michael spends $18 at store A.
3x + 4y = 18
Ashley purchased from store B.
Cost of turkey per pound at store B = $4.50
Cost of ham per pound at store B = $6
Ashley spends $27 at store B.
4.5x + 6y = 27
We get two linear equations,
3x + 4y = 18
4.5x + 6y = 27
Multiplying the first equation throughout with 4.5 and the second equation throughout with 3, we get,
13.5x + 18y = 81
13.5x + 18y = 81
Since both the equations coincide, Michael and Ashley bought same amount of Turkey and Ham.
Hence Michael and Ashley bought same amount of turkey and ham.
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Jordan saved $225 and continues to save $45 each week. RayAnn saved $150 and continues to save $60 each week. Write and solve a system of equations using any method for the given situation.
Equation for Jordan:
Equation for RayAnn:
Solution:
Jordan and RayAnn will have saved the same amount of money at 5 weeks.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given that Jordan saved $225 and continues to save $45 each week. RayAnn saved $150 and continues to save $60 each week.
Jordan: 225 + 45x
RayAnn: 150 + 60x
Therefore, 225 + 45x = 150 + 60x
225 - 150 = 60x - 45x
15x = 75
x = 5 weeks
Thus At 5 weeks, Jordan and RayAnn will have saved the same amount of money.
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Answer Asap!
<3 THX <3
XOXO Also giving out brainliest!
Answer:
4,3 becomes 0,0 after the changes
Answer:
32
Step-by-step explanation:
28 29 30
The area of a kite is 51. 68 square inches. One diagonal measures 15. 2 inches. What is the measure of the other diagonal? 3. 4 inches 6. 8 inches 13. 6 inches 15. 2 inches.
The measure of the other diagonal line is 6.8 inches
A kite is a quadrilateral with two distinguishable consecutive sides. The area of a kite can be calculated by the multiplication of the two diagonal lines divided by 2.
Mathematically, we have:
\(\mathbf{A = \dfrac{pq}{2}}\)
where:
A = area of the kite = 51.68 inches²Let the first diagonal length be p = 15.2 inchesThe other diagonal length q = ???∴
Using the formula for an area of a kite to determine the other diagonal length, we have:
\(\mathbf{51.68 \ inches^2 = \dfrac{15.2 \ inches \times q}{2}}\)
\(\mathbf{q = \dfrac{51.86 \ inches^2 \times 2}{15.2 inches} }\)
q = 6.8 inches
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Clare puts $600.00 into an account to use for school expenses. The account earns 10% interest, compounded annually. How much will be in the account after 5 years?
Answer:
\(A=\) $\(966.306\)
Step-by-step explanation:
we know that
The compound interest formula is equal to
\(A=P(1+\frac{r}{n})^n^{t}\)
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
\(t= 5\) \(years\)
\(P=\) $\(600.00\)
\(r=10\)% \(=10/100=0.10\)
\(n=1\)
substitute in the formula above
\(A=600(1+\frac{0.10}{1})^1^*^5\)
\(A=600(1.10)^5\)
\(A=\) $\(966.306\)
Two families attended a baseball game. The first family bought 4 bags of popcorn and 5 souvenir cups, which totaled $50. The second family bought 6 bags of popcorn and 4 souvenir cups, which totaled $54. How much did one bag of popcorn cost? $4 $5 $6 $7
Answer:
$5
Step-by-step explanation:
Let x = price of 1 bag of popcorn.
Let y = price of 1 souvenir cup
First family:
4x + 5y = 50
Second family:
6x + 4y = 54
We have a system of 2 equations with 2 variables.
4x + 5y = 50
6x + 4y = 54
We are asked for the price of 1 bag of popcorn, x, so we will eliminate y and solve for x.
Multiply both sides of the first equation by -4. Multiply both sides of the second equation by 5.
-16x - 20y = -200
30x + 20y = 270
Add the equations to eliminate y.
14x = 70
x = 70/14
x = 5
Answer: $5
Answer:
$5
Step-by-step explanation:
I took the test
hypothetically, say the popcorn WAS 5 dollars. 5x4 = 20
$50 - $20 = 30 that makes the souvenirs $6 because 30/5 = 6.
If we use this for the next family, 5x6 is 30 for the popcorn plus 6x4 for the souvenirs totals at 54 making this equation correct.
If Denise were to paint her living room alone, it would take 55 hours. Her sister Rachel could do the job in 77 hours. How many hours would it take them working together
Total time taken by Denise and Rachel to paint the room together us around 32.10 hours.
To determine how many hours it would take Denise and Rachel to paint the living room together:
Denise can complete the job within 55 hours, so her work rate is 1/55 of the job per hour.
Rachel can complete her job in 77 hours, so her work rate is 1/77 of the job per hour.
When they work together to paint, their work rates are also combined. Therefore, the combined work rate of Denise and Rachel is the sum of their individual work rates:
= 1/55 + 1/77
= 0.01818 + 0.01299
= 0.03117
To find the time taken by them for working together, we take the reciprocal of the combined work rate obtained:
1 / 0.03117 = 32.10 hours
Therefore, it would take Denise and Rachel approximately around 32.10 hours to paint the living room together.
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Complete the table with rotations of 180° or less. Include the direction of rotation for rotations of less than 180°.
Select:
clockwise
counterclockwise
Answer:
90° clockwise
Step-by-step explanation:
Quadrants are numbered I through IV counterclockwise from upper right. Rotation from quadrant I to quadrant IV is rotation clockwise one quadrant, or 90°.
for the curve r(t), write the acceleration in the form atT+anN. r(t)=(9sin(5t/9)+2)i+(9cos(5t/9)-7)j+12tk
A) a=25T
B) a=25N
C) a=25T+25N
D) a=T+25N
The acceleration vector can be written as a = (25/9)T + 0N, or simply a = (25)T. (option a).
To find the acceleration, we need to take the second derivative of the position vector r(t) with respect to time, which represents the rate of change of velocity. Let's start by finding the first derivative of r(t):
r'(t) = (d/dt)(9sin(5t/9) + 2)i + (d/dt)(9cos(5t/9) - 7)j + (d/dt)(12t)k
The unit tangent vector T is defined as the normalized version of the velocity vector, which is r'(t)/||r'(t)||. To find T, we calculate the magnitude of r'(t) and normalize it:
||r'(t)|| = √((25/9)²(sin²(5t/9) + cos²(5t/9))) = √((25/9)²) = 25/9
Therefore, the unit tangent vector T is given by:
T = r'(t) / ||r'(t)|| = [(25/9)(-sin(5t/9))i - (25/9)(cos(5t/9))j] / (25/9) = (-sin(5t/9))i - (cos(5t/9))j
The unit normal vector N is perpendicular to the unit tangent vector T and is given by N = (cos(5t/9))i - (-sin(5t/9))j, or simplifying it, N = (cos(5t/9))i + (sin(5t/9))j.
Now, we can express the acceleration vector in the form atT + anN by taking the dot product of r''(t) with T and N:
aT = r''(t) · T = (25/9)(-sin(5t/9))(-sin(5t/9)) + (25/9)(cos(5t/9))(-cos(5t/9)) = 25/9
aN = r''(t) · N = (25/9)(-sin(5t/9))(cos(5t/9)) + (25/9)(cos(5t/9))(sin(5t/9)) = 0
Therefore, the correct answer is: A) a = 25T
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Complete the sequence,
13, 14, 27, 41,
Answer:
68
Step-by-step explanation:
We can see that the nth term would be the sum of the previous two terms. Continuing this would result in 68.
GUYS I NEED HELP!!!
your friend graphs the equation y = 4.
is your friend correct?
o yes
o no
Explain your reasoning.
Answer:
No
Step-by-step explanation:
1 ) Since there is no x, the line is horizontal and has a slope of 0.
2 ) Knowing this we can go to 4 on the y-axis and draw a horizontal line that runs both through the negative and positive sides.
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If you know the area of a circle, how can you find its radius? Use the drop-down menus to explain your answer. (Choose: A. Divide B. Multiply) the area by π, and then take the (Choose: A. Square B. Square root) of the answer.
Pls answer and show WORK pls do it right
Answer:
4/6
Step-by-step explanation:
1/2 needs to be converted to sixths, so we would multiple the numerator and the denominator by 3, because 2 goes into 6, 3 times, then we would get 3/6 + 1/6, then just add, 1 + 3 = 4, and then you end up with 4/6. Have A Great Day!
1.) What is the reciprocal of 3 2/5
Answer:
17/5
Step-by-step explanation:
3 + 2/5 = (3*5+2)/5
If f(x) is given as an equation and g(x) is given as a table, how i can tell they are inverses
Answer: f(x) and g(x) both represent y of the equations
Step-by-step explanation: f(x) and g(x) both represent the y of the equation for example f(x)=mx+b or g(x)+mx+b both would be to find y of that specific equation and that would also make them inverses because you could use the table to label the inverses on a graph.
What is the value of x- 4.5 when x = 0.4
Answer: -4.1
Step-by-step explanation:
0.4 - 4.5 = -4.1