Answer:
Step-by-step explanation:
4 days 9 hours 40 minutes
Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form
Answer: The gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].
Step-by-step explanation:
Formula for gradient of a line segment :
[tex]\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}[/tex]
Given points of the line segment: (-5,2) and (4,3)
[tex]\text{Gradient} =\dfrac{3-2}{4-(-5)}[/tex]
[tex]\text{Gradient} =\dfrac{1}{4+5)}[/tex]
[tex]\text{Gradient} =\dfrac{1}{9}[/tex]
Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].
Determine the value of”k” when the lines y=k/3x+2 and y=1/4x+2 are perpendicular.
Answer:
k = -12
Step-by-step explanation:
When lines are perpendicular, their slopes are the opposite reciprocal of each other.
The opposite reciprocal of [tex]\frac{1}{4}[/tex] is -4
[tex]\frac{k}{3}=-4[/tex]
k = -12
A camera and a case cost 100 dollars. If the camera cost 90 more dollars than the case. How much does the case cost.
Answer:
Cost of case = $5
Step-by-step explanation:
x = cost of camera and y = cost of case
x = y + 90
x + y = 100
y + 90 + y = 100
2y = 10
y = 5
x = y + 90
x = 5 + 90
x = 95
Therefore, the cost of the camera is $95 and the cost of the case is $5.
The cost of case is 5 dollars.
What is the equation?The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Let,
Cost of camera = a and
Cost of case = b
Given that, camera and a case cost 100 dollars
a + b = 100
Since, the camera cost 90 more dollars than the case
So, a = b + 90
Substitute the value in the equation a + b = 100
b + 90 + b = 100
2b = 10
Divided by 2 both the sides
b = 5
Substitute the value of b in equation
a = b+ 90
a = 5 + 90
a = 95
So, the cost of the camera is $95 and the cost of the case is $5.
Hence, the cost of the case is 5 dollars.
Learn more about equation here:
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Consider the equation below.
2(n + 4) = 8–6(n-4)
Solve the equation for n.
A
-3
B
D
16
Answer:
N=3
Explanation:
Look at image below
math. please help..with working
Answer:
[tex]\text{(C) }300\pi\:\mathrm{cm^3}[/tex]
Step-by-step explanation:
The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]V=r^2\pi \cdot h[/tex].
What we're given:
[tex]r[/tex] of 5 cm[tex]h[/tex] of 12 cmSubstituting given values, we get:
[tex]V=5^2\pi \cdot 12 =\boxed{300\pi\:\mathrm{cm^3}}[/tex]
Answer:
c
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]V=\pi r^2h[/tex]
We know r is 5, and h is 12.
Then we can just plug the values into the formula.
[tex]V=\pi (5)^2(12)\\ V=\pi (25)(12)\\\V=\pi (300)[/tex]
So the answer is c, 300pi
Explain fully, please
Answer:
Step-by-step explanation:
formula of volume of cone is given so u simply substitute the values given and calculate.
Work is done for u .
Hope this helps u
The window of the school bus need to be washed by the end of the day. Mr.Casey washes 1/3 of the 33 before lunch. If Mr.Casey washes 8 of the remaining windows after lunch, how many windows still need to be washed by the end of the day? A 11 windows B 14 windows C 19 windows D 25 windows
Answer:
14 windows is the answer
Step-by-step explanation:
windows washed before lunch = 1/3 of total windows
= 1/3 * 33
= 11 windows
windows washed after lunch = 8
windows remaining = total - washed before lunch - washed after lunch
remaining = 33 - 11 - 8
= 33 - 19
= 14 windows
investors buy a studio apartment for $240,000 . Of this amount, they have a down payment of 60,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $108,000 down payment be?
Answer:
25%
bc its 1/4 = 0.25 of the purchase price.
the other percentage is 45
108/240 = 54/120 = 18/40 = 4.5/10 = 45/100
?
Answer:
Step-by-step explanation:
She made the -2(6) as a positive 12. it should've been a negative 12 because a negative multiplied by a positive is a negative.
8.
How is the graph of y=5x^2-4 different from the graph of y=5x^2?
A. It is shifted 4 units to the left.
B. It is shifted 4 units to the right.
C. It is shifted 4 units down.
D. It is shifted 4 units up.
Answer:
C. It is shifted 4 units down.
Step-by-step explanation:
Shifted four units down. When a number is at the end of the equation, it means that that number shifts up or down depending on its sign.
Answer:
It is shifted 4 units down
Step-by-step explanation:
When we have a function the constant number that is not multiplied by a variable, in this case, 4 in the first function, indicates where the function will intercept the y-axis, or when x is equal to 0.
In this case, we have two functions:
y = 5x^2 - 4, in which -4 is the constant that will determine where the function intercepts the y-axis. So if we say that we have x=0, then y=-4
In the second function we have:
y= 5x^2, this function is very similar but we don´t have another number after 5x^2, so we will have a similar graph but when x = 0 then y = 0.
So the first graph is shifted 4 units down. We can see this in the attachment.
It shifted 4 u it’s to the left
It is shifted 4 units to the left.
Which statement accurately describes how to reflect point A (3, −1) over the y-axis?
Answer:
Are there any options to choose from???
A university record search of 250 incoming freshmen
at a state university shows that 26 had received college
credit for science courses but not math courses,
and 12 had received college credit for math but not
science. There were 202 that had not received college
credit for either.
a. How many of the students had received college credit for math?
b. How many had received credit for science courses?
Answer:
a. 12 students had received college credit for math
b. 26 students had received college credit for science
HELP ME WITH THIS PLEASEEEE
find any 4 rational number between -1/2 and -1/3
Given:
The two numbers are [tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex].
To find:
The 4 rational numbers between the given numbers.
Solution:
We have,
[tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex]
First we need to make common denominators. So multiply and divide the first fraction by 3 and second fraction by 2.
[tex]-\dfrac{1\times 3}{2\times 3}=-\dfrac{3}{6}[/tex]
[tex]-\dfrac{1\times 2}{3\times 2}=-\dfrac{2}{6}[/tex]
We need to find 4 rational numbers between the given numbers. So, multiply and divide both fractions by five, (4+1=5).
[tex]-\dfrac{3\times 5}{6\times 5}=-\dfrac{15}{30}[/tex]
[tex]-\dfrac{2\times 5}{6\times 5}=-\dfrac{10}{30}[/tex]
Now, the four numbers between -15 to -10 are -14, -13, -12, -11.
[tex]-15<-14<-13<-12<-11<-10[/tex]
[tex]-\dfrac{15}{30}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{10}{30}[/tex]
[tex]-\dfrac{1}{2}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{1}{3}[/tex]
Therefore, the 4 rational number between the given numbers are [tex]-\dfrac{14}{30},\ -\dfrac{13}{30},\ -\dfrac{12}{30}\ -\dfrac{11}{30}[/tex].
Sum1 plz help with this
Answer:
ur answer is 8.06
Step-by-step explanation:
a² + b²= c²
4² + 7² = c²
16 + 49 = c²
65 sooo u do √65= 8.06
Solve for x
1) 3x - 2 = 10
Answer:
Hi, there your answer is x=4
Step-by-step explanation:
Step 1: Add 2 to both sides.
3x−2+2=10+2
3x=12
Step 2: Divide both sides by 3.
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
x=4
On a number line, graph all the temperature that are warmer than -2 degrees Celsius
(a) A temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.
(b)The inequality -2>-5 will be used to illustrate the connection between -2 and -5.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
On a number line, graph all the temperature that are warmer than -2°C.
(a)-2 °C temperature is warmer,As the temperature in the graph is decreasing,-2 °C temperature is warmer than -5 °C.
The inequality to express the relationship between -2 and -5 will be -2>-5.
Hence,temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.
To learn more about the graph, refer to the link;
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How do you prove that lines are similar in triangles if it is parallel? (look at photo)
Answer:
they are similar cuz it resembles a "z" pattern. The angles are so the same.
Does f(x) = - 3x² + 6x - 4 have a maximum or
minimum? Find the value
Answer:
Maximum value.
it = -1.
Step-by-step explanation:
Maximum value as the coefficient of x^2 is negative.
To find this value we convert to vertex form:
y = -3x^2 + 6x - 4
y = -3(x^2 - 2x) - 4
y = -3[(x - 1)^2 - 1] - 4
y = -3(x - 1)^2 + 3 - 4
y = =3(x - 1)^2 - 1
Minimum value = -1.
no links please!!!!!!!!!ty!!!
Answer:
<2 = 75
Step-by-step explanation:
<1 and <2 form a straight line which means that they add to 180
<1+<2 =180
105+<2 =180
Subtract 105 from each side
<2 =180-105
<2 = 75
a/2-8=-4
I have no idea how to do this!!
Answer:
a = 8
Step-by-step explanation:
a ÷ 2 - 8 + 8 = - 4 + 8
a ÷ 2 = 4
a ÷ 2 × 2 = 4 × 2
a = 8
Answer:
a = 8
Step-by-step explanation:
Given
[tex]\frac{a}{2}[/tex] - 8 = - 4 ( add 8 to both sides )
[tex]\frac{a}{2}[/tex] = 4 ( multiply both sides by 2 to clear the fraction )
a = 8
If I roll 3 Dice .. What is the probability that I roll, a Even Number, and Odd Number, and a number bigger than 3. (P even, odd and >3)
State if triangles HAG and CAB are similar and why.
Solve -7u = -21 for u. u =
Answer: u = 3
Step-by-step explanation:
Divide each side by -7 to get u = 3.
Answer:
3
Step-by-step explanation:
-7u = -21
To solve the problem we need to isolate u. Since -7 is being multiplied by u, we could divide to get rid of it.
-7u
[tex] \frac{ - 7u}{ - 7} = - 21 \div - 7[/tex]
u= -21/-7
u = 3
One of the legs of a right triangle measures 12 cm and the other leg measures 16 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer: 20 cm
Step-by-step explanation:
Given
For the right angle triangle, the length of the other two sides of triangle are 12 cm and 16 cm
Using the Pythagoras theorem, [tex](\text{Hypotenuse})^2=(\text{Perpendicular})^2+(\text{base})^2[/tex]
Insert the values
[tex]\Rightarrow H^2=12^2+16^2\\\Rightarrow H^2=144+256\\\Rightarrow H^2=400\\\Rightarrow H=\sqrt{400}\\\Rightarrow H=20\ cm[/tex]
can someone help me with part A please??
Answer:
h=4cm
Step-by-step explanation:
a) volume of a cuboid= LBH
cuboid a=(3x2x8)cm³
=48cm³
cuboidb
6cmx2cmxh=48cm³
12cm²xh=48cm³
12cm²h/12cm²=48cm³/12cm²
h=4cm
What is the median of this set of data?
362, 187, 211, 298, 331, 250, 347, 199
Answer:
187, 199, 211, 250, 298, 331, 347, 362
[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]
Answer:
The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.
Step-by-step explanation:
ascending order : 187, 199, 211, 250, 298, 331, 347, 362
answer: 250, 298 .
Mrs. Smith wants to purchase table pads for her circular dining room table. If the table has a diameter of 3 feet and the pads cost 50 cents per square foot, approximately how much will the table pads cost? Use 3.14 for
Answer:3.53
Step-by-step explanation:
I found it on a quiz game got it right
I’m stuck on this question plz help
Answer:
3(n-8)
Step-by-step explanation:
- Andrew gave half of his money to support a local charity. From what was left, he spent
$22.75 on a present for his sister. If he had $183.89 left over, how much did he have to
begin with?