Answer:
y = (-1/2)x + 9/2
Step-by-step explanation:
the equation of a straight line can be written as;
y = mx + c ......1
Where;
m = slope
c = intercept
For two lines to be perpendicular their slope must be opposite reciprocal of each other.
m1 × m2 = -1 .....2
Given;
The equation Contains (3, 3); and perpendicular to the line y = 2x - 1
Slope of the given equation m1 = 2
Slope of the line m2; substituting m1 to equation 2.
2 × m2 = -1
m2 = -1/2
So,
y = (-1/2)x + c
To solve for c, let's substitute the given point on the line; (3,3).
3 = (-1/2)(3) + c
3 = -3/2 + c
c = 3 + 3/2
c = 9/2
Therefore, the equation of the line that has the given properties is;
y = (-1/2)x + 9/2
The what of a figure is a measurement of the space inside it
Answer: It would be area, because it involves multiplying length by width, therefore covering the inside
Step-by-step explanation:
In the figure below, which term best describes point T?
Answer:
A
Step-by-step explanation:
What is the point slope form of a line that has a slope of 1/2 and passes through point -7, two
Answer:
y-2=1/2(x+7)
Step-by-step explanation:
Point slope form:
y − y1 = m(x − x1)
We have the coordinate (-7, 2) and slope aka m (1/2)
y-2=1/2(x+7)
Hope this helps! Please mark brainliest :)
25 POINTS HELP ASAP , Please read question THEN answer correctly also will give BRAINLIEST! No guessing.
Answer:
B and D
Step-by-step explanation:
Simply set each factor, that is the expression in each set of brackets equal to 0;
This will give the equations that you need to solve to get the roots.
£48 is divided between Alf and Ted in the ratio of 7:9. How much does Alf receive?
7:9=7+9=16
Alf is 7 which means 7/16*£48=6.125
Josh is a product designer for electrical company he designed a new table lamp Josh will use plastic to make the lamp he uses this formula to work out the amount of plastic needed P= b2 +2bh.the lenght of the base of the lamo will be 13cm the slope of the lamp will be 34cm.josh thinks the amount of plastic needed will be less than 1000cm2
Answer:
Josh is right, he needs less than 1000 square centimeters.Step-by-step explanation:
We can find the height using Pythagorean's Theorem.
[tex]34^{2} =13^{2} +h^{2} \\h=\sqrt{1,156-169}=\sqrt{987} \approx 31[/tex]
So, the height is 31 centimeters, approximately.
Now, we use the given expression and the base and height
[tex]P=b^{2} +2bh=13^{2}+2(13)(31)=169+806=975 \ cm^{2}[/tex]
Therefore, Josh is right, he needs less than 1000 square centimeters. Specifically, he needs 975 square centimeters.
henry is making potato salad. he used the amount of mayo shown in the measuring cup. Use the figures to answer 4-6
Answer:
Idk but i'm pretty sure u found the answer by now...
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
D
Step-by-step explanation:
Answer:C and D
Step-by-step explanation:
7x^2-42x=0
First find the highest common factor of 7x^2 and 42x
7x^2=7 x X x X
42x=2 x 3 x 7 x X
Highest common factor is 7x
7x(x-6)=0
7x=0. or x-6=0
x=0. or x=6
use the figure to help you explain the statement
The base(b) of a triangle is ----------inches
The height (h) of the triangle is--------inches
The area of a triangle is ------- Square inches
The area of the rectangle is ------ Square centimeters
help fassstttt
Step-by-step explanation:
base is 6 in
height is 4 in
to get the area of a triangle is 1/2base×height
being 1/2(6)(4)=12
to get the area of a rectangle is length×width being 9×8=72
By observing the given figure,
The base(b) of a triangle is 6 inches
The height(h) of a triangle is 4 inches
The area of the triangle is 12 square inches
The area of the rectangle is 72 square centimeter
What is Triangle?A triangle is a polygon with three edges and three vertices
What is Rectangle?A rectangle is a quadrilateral with four right angles
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface
From the given figure
The base(b) of a triangle is 6 inches
The height(h) of a triangle is 4 inches
The area of a triangle = [tex]\frac{1}{2}bh[/tex]
=[tex]\frac{1}{2}(6)(4)[/tex]
=12 square inches
Length of the rectangle = 8 centimeter
Width of the rectangle = 9 centimeter
Area of the rectangle = l × w = 9×8=72 square centimeter
Hence,
The base(b) of a triangle is 6 inches
The height(h) of a triangle is 4 inches
The area of the triangle is 12 square inches
The area of the rectangle is 72 square centimeter
Learn more about Triangle, Rectangle and Area here
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Alex and Micah scored a total of 40 points in the basketball game. Micah scored four more points than twice Alex's score. How many points did Micah score?
a. 10 points
B. 28 points
C. 12 points
D. 22 points
Answer: D
Step-by-step explanation:
2x + (2x +4 ) =40
x= 9
2(9) +4 =22
the table shows jills math quiz scores. what is the minimum score she needs on her next quiz to have a mean of at least 92
week 1: 92
week 2: 96
week 3: 94
week 4: 88
Answer:90
Step-by-step explanation:
The minimum score she needs on her next quiz is 90
What is mean ?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
The mean value of the data set is the ratio of sum of data set's values to number of values it has.
If the data set consists of values
Mean = Sum of observations/the number of observations
[tex]\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}[/tex]
Given;
Mean of 5 weeks= 92
Mean= (week 1 + week 2 + week 3 + week 4+ week 5)/number of weeks
let, the score of next week be x
Mean = (92+96+94+88+x)/5
putting the value of mean;
92= (370+x)/5
460=370+x
x=460-370
x=90
In the next quiz jills need 90 score to get the mean of 92.
Learn more about mean;
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Hummingbird migrate across the gulf of Mexico. If the distance across the gulf Mexico is about 525 miles and hummingbird fly at a speed of 25 miles per hour, how long does it take a hummingbird to cross the gulf of Mexico
Answer:
21 hrs
Step-by-step explanation:
Time = D/S
Time=525 m /25 m/h
Time 21 hrs
Answer: 21 hours.
Step-by-step explanation:
25m = 525
m = 21
What is the factor of k2 + k - 42
Answer:
(k + 7) • (k - 6)
Step-by-step explanation:
Final result :
(k + 7) • (k - 6)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "k2" was replaced by "k^2".
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring k2+k-42
The first term is, k2 its coefficient is 1 .
The middle term is, +k its coefficient is 1 .
The last term, "the constant", is -42
Step-1 : Multiply the coefficient of the first term by the constant 1 • -42 = -42
Step-2 : Find two factors of -42 whose sum equals the coefficient of the middle term, which is 1 .
-42 + 1 = -41
-21 + 2 = -19
-14 + 3 = -11
-7 + 6 = -1
-6 + 7 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 7
k2 - 6k + 7k - 42
Step-4 : Add up the first 2 terms, pulling out like factors :
k • (k-6)
Add up the last 2 terms, pulling out common factors :
7 • (k-6)
Step-5 : Add up the four terms of step 4 :
(k+7) • (k-6)
Which is the desired factorization
Final result :
(k + 7) • (k - 6)
find the area of the shaded region and choose the appropriate result.
Area of the larger square: (4 cm) * (4 cm) = 16 cm^2
Area of the smaller square: (2 cm) * (2 cm) = 4 cm^2
Area of the shaded region = difference between the two areas above, or 12 cm^2
Please help
The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 17 days. About what percentage of births would be expected to occur within 51 days of the mean pregnancy length?
Answer:
About 99.7% of births would be expected to occur within 51 days of the mean pregnancy length
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Standard deviation = 17.
About what percentage of births would be expected to occur within 51 days of the mean pregnancy length?
51/17 = 3.
So, within 3 standard deviations of the mean.
About 99.7% of births would be expected to occur within 51 days of the mean pregnancy length
Simplify the expression below.
14a8y3 - 7 Ay5 + 28a12y2
7aty
A.
OB.
2a²y3 - ay5 + 4a3y2
2a4y? - JA + 428 y
2a4y3 – 5 + 428 y?
D. 2012,4 - 2876 +4215,3
C.
Answer:
14a8y3 - 7 Ay5 + 28a12y2- 7ay2 • (4a11 + 2a7y - y3)
Step-by-step explanation:
Equation at the end of step 1 :
(((14•(a8))•(y3))-(7a•(y5)))+((22•7a12)•y2)
Step 2 :
Equation at the end of step 2 :
(((14•(a8))•(y3))-7ay5)+(22•7a12y2)
Step 3 :
Equation at the end of step 3 :
(((2•7a8) • y3) - 7ay5) + (22•7a12y2)
Pull out like factors
Answer: 7ay2 • (4a11 + 2a7y - y3)
Hope this helps.
In simple linear regression: A The existence of a surrogate variable can explain why two variables have an association without having a causal relationship. B A simple linear regression analysis can prove that there is a causal relationship between two variables. C Both of the above. D Neither of the above.
Answer:
B. A simple linear regression analysis can prove that there is a causal relationship between two variables.Step-by-step explanation:
In statistics, a simple linear regression is a method to obtain a formula that helps to predict the values of one variable from another, where there exists a causal behavior. Specifically, through this method, we can say if there's a relation at all, if the correlation is positive or negative, if it's strong or weak.
Therefore, the right answer is B.
The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1400 hours and a standard deviation of 75 hours. What is the probability that a randomly chosen light bulb will last less than 1380 hours, to the nearest thousandth?
Answer:
0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 this question, we have that:
[tex]\mu = 1400, \sigma = 75[/tex]
What is the probability that a randomly chosen light bulb will last less than 1380 hours, to the nearest thousandth?
This is the pvalue of Z when X = 1380. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1380 - 1400}{75}[/tex]
[tex]Z = -0.27[/tex]
[tex]Z = -0.27[/tex] has a pvalue of 0.394
0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours
Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now?
If Jane's current age is x, the equation will be [ equation ]
Helen is [ ]
years old. Jane is [ ]
years old.
H = 8 + x
H - 20 = 3(x - 20)
8 + x - 20 = 3(x - 20)
x - 12 = 3x - 60
48 = 2x
24 = x (Jane) -->
33 = H (Helen)
6th grade math! Help me please :))
Answer: d 3 * 1/4
Step-by-step explanation:
15. When coffee is packed by machine into 16-ounce cans, the amount can vary. The mean weight is 16.1 ounces and the standard deviation is 0.04 ounce. The weight of the coffee approximates a normal distribution. a. What percent of the cans of coffee can be expected to contain less than 16 ounces of coffee
TBH i found it online because im not that smart but the answer is
.6 %
and if the online question is correct there is another question connected to the question you asked, which the answer is 98.8%
can u pls gimme brainly?
During one year Saul takes 15 credit hours for each three quarters. Tuition and fees amount to $608 per credit hour. Textbooks average $420 per quarter. The prorated monthly cost for tuition and fees and textbooks is?
Answer:
Total textbook cost of tuition fees per month will be $ 2,356 and 25 cents
Step-by-step explanation:
To solve the exercise, we will first define the total cost per quarter.
cost of 1 credit hour = $ 601
then we solve the following:
cost of 15 credit hours = $ 601 * 15 = $ 9015
textbooks = $ 410
then we solve the following:
total cost = 9015 + 410 = $ 9425
total cost for 3 quarters = 3 * $ 9425 = $ 28275 for 12 months
we calculate as follows
Total textbook cost of tuition fees per month will be
$ 28,275 / 12 = $ 2,356 and 25 cents
If you flipped a fair coin 18 times about how many times would you expect heads to appear?
Answer:
9 times
Step-by-step explanation:
hope this helps
Answer:
9
Step-by-step explanation:
Mathematically, 9, although reality wise, you could flip the coin and get heads every time, or the opposite.
I think you mean mathematically though, so yes, it would be 9.
The function fff is given in three equivalent forms. Which form most quickly reveals the zeros (or "roots") of the function? Choose 1 answer: Choose 1 answer: (Choice A) A f(x)=-3(x-2)^2+27f(x)=−3(x−2) 2 +27f, (, x, ), equals, minus, 3, (, x, minus, 2, ), squared, plus, 27 (Choice B) B f(x)=-3(x+1)(x-5)f(x)=−3(x+1)(x−5)f, (, x, ), equals, minus, 3, (, x, plus, 1, ), (, x, minus, 5, )(Choice C) C f(x)=-3x^2+12x+15f(x)=−3x 2 +12x+15f, (, x, ), equals, minus, 3, x, squared, plus, 12, x, plus, 15 Write one of the zeros. xxx =
Answer:
(B) [tex]f(x)=-3(x+1)(x-5)[/tex]
x=5
Step-by-step explanation:
Given the three equivalent forms of f(x):
[tex]f(x)=-3(x-2)^2+27\\f(x)=-3(x+1)(x-5)\\f(x)=-3x^2+12x+15[/tex]
The form which most quickly reveals the zeros (or "roots") of f(x) is
(B) [tex]f(x)=-3(x+1)(x-5)[/tex]
This is as a result of the fact that on equating to zero, the roots becomes immediately evident.
[tex]f(x)=-3(x+1)(x-5)=0\\-3\neq 0\\Therefore:\\x+1=0$ or x-5=0\\The zeros are x=-1 or x=5[/tex]
Therefore, one of the zeros, x=5
Answer:
i dont think the one above is correct. here is the correct answer
Step-by-step explanation:
what is 1+1+5+6+7+8+9 equal to
Answer:
37
Step-by-step explanation:
16. The local hiking club went on a 7-day hiking trip to Denali National
Park. The group started with 98 pounds and returned with no food.
If the decreasing amount of food each day is modeled by a linear
function, what is the slope of the line?
Answer:
The slope of the line is 14 pounds per day
Step-by-step explanation:
We are given that The local hiking club went on a 7-day hiking trip to Denali National Park.
The group started with 98 pounds
We are also given that the decreasing amount of food each day is modeled by a linear function
On Day 1 amount of food = 98 pounds
Since day 7 was the last day
So, On Day 8 amount of food = 0
So,[tex](x_1,y_1)=(1,98)[/tex]
[tex](x_2,y_2)=(8,0)[/tex]
Slope = Constant Rate of change per unit
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{0-98}{8-1}[/tex]
So, Slope =[tex]\frac{-98}{7}[/tex]
Slope = - 14
Negative sign shows decreasing amount of food each day
Hence the slope of the line is 14 pounds per day
how many thousands make 5crore
Answer:
50,000 thousands make a crore.
Step-by-step explanation:
One crore (1,00,00,000) is equal to one hundred lakh (10,000 × 1,000). Thus, 10,000 thousands make a crore.
Gina can write 3 pages per hour. Emily can write 5 pages per hour. If they both write for n number of hours, how many pages will they write altogether?
Answer:
3n+5n
Step-by-step explanation:
8 pages an hour
Answer:
8n hours.
Step-by-step explanation:
Working together they can write 3+5 = 8 pages per hour.
So the answer is 8 * n hours.
Three black beads, two red beads, and a yellow bead are arranged in a line. What is the probability that no black bead is adjacent to the yellow bead?
Answer:
Probability of no black bead is adjacent to the yellow bead is = 0.966
Step-by-step explanation:
First to arrange all the beads without restrictions = 6! = 720
Probability the black bead is adjacent to Yellow bead = 4!/6! = 24 /720
= 0.0333
Probability of no black bead is adjacent to the yellow bead is
= 1- Probability the black bead is adjacent to Yellow bead
= 1-0.033
= 0.966
Write the expanded form of h(3k-12.4)
Answer:3hk - 12.4h
Step-by-step explanation:
h(3k-12.4)
h x 3k - h x 12.4
3hk - 12.4h
