Answer:
Step-by-step explanation:
Because 3x10=30 and 31 is greater than 30 by 1 more.
It's not. 3 times 10 is 30.
30<31
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 .
Find m∠ABC.
132°
48°
19°
21°
Answer:
Step-by-step explanation:
48
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
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
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.
- 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?
(HELP) A glass jar contains 5 red, 7 green, 9 blue and 11 yellow marbles. If a single marble is picked at random from the jar, what is the probability of it being a blue marble? *
1/11
5/18
9/32
5/12
Answer:
Find the volume of this prism.
Triangle MNO has vertices M(6,5), N(2,2), and O(7,0). It's image has vertices M'(-6,5), N'(-2,2), and
O'(-7,0). Which line of reflection maps triangle MNO onto its image?
x = 1
y=1
x = 0
.y=0
Answer:
x=0
Step-by-step explanation:
because the y values are not changing and the x values are only changing from positive to negative.
Interest earned:$45 Principal: ? Interest rate: 3% Time: 2 years
Answer:
The Principal = $75,000
Step-by-step explanation:
Formula for finding the principal:
I × 100/ R × T
Therefore;
Principal = 45 × 100 / 3/ 100 × 2
[tex] = \: \frac{45 \times 100}{ \frac{3}{100} \times 2} \\ = \frac{4500}{ \frac{3}{50} } \\ = 4500 \times \frac{50}{3} \\ = 1500 \times 50 \\ = 75000.00[/tex]
Which means that the Principal is $75,000.00
can someone please explain to me how to do this?
Answer:
The fourth coefficient is 4.
Step-by-step explanation:
Pascal's Triangle in this case has 5 rows of coefficients because the highest power in (y + w)^4 is 4. 4 plus 1 is 5.
Here's the appropriate Pascal's Triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1 Use this row when expanding the 4th power of (v + w).
Notice that in the given expansion, the coefficients are
1, 4, 6, 4 1
This corresponds to the last (5th) row of Pascal's Triangle (above).
So the correct coefficient to be placed in the box is 4.
I’m stuck on this question plz help
Answer:
3(n-8)
Step-by-step explanation:
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
Find the circumference of the circle.
Answer:
37.68 is the correct answer
Step-by-step explanation:
diameter of the given circle is 12ft
circumference of a circle = pi x diameter.
= 3.14 x 12 ft
= 37.68 ft
Answer:
A
Step-by-step explanation:
because use the equation circumference of a circle
[tex]2 \times \pi \times r[/tex]
so 12 is diameter half it will be 6 which is radius. Then insert the number in the equation. hope this helps:)
Find the radius y of circle C, given that x = 12 and z = y + 8.
PLEASEEE HELP ME
The radius of the given circle is 5, option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In the given figure, y is the radius.
By pythagoras theorem we find the radius
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
AC²+AB²=BC²
y²+12²=(y+8)²
y²+12²=y²+64+16y
144=16y+64
Subtract 64 from both sides
144-64 = 16y
80=16y
Divide both sides by 16
y=5
Hence, the radius of the given circle is 5, option C is correct.
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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
what is the correct answer
Answer:
Step-by-step explanation:
B is correct answer
1. If one leg gets longer the other leg must also
get longer in order to keep the hypotenuse the
same.
TRUE
FALSE
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.
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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
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.
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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
13 1 point
Determine if the two triangles are congruent. If they are, state how you know.
A) Not enough information
C) SSS
B) SAS
D) AAS
the SAS is a special forces Unit let's goo
Place the following linear equation in slope intercept form: 6x - 4y = 9
Answer:
y = 3/2 x - 9/4
Step-by-step explanation:
bring all the y's to one side.
4y = 6x-9
divide by 4 to isolate the y
y = 6/4x - 9/4
simplify
y = 3/2 x - 9/4
Answer:
y = (3/2)x - 9/4
Step-by-step explanation:
Slope intercept form is
y = mx + b
------------------
6x - 4y = 9
subtract 6x from both sides
-4y = -6x + 9
Divide both sides by -4
y = (3/2)x - 9/4
Identify the property being demonstrated for each expression.
13+ (5 + 7) = (3 + 5) + 7
(3)[5(7)] = (3)[7(5)
5 + 0 = 5
Answer:
3 + (5 + 7) = (3 + 5) + 7
Associative property
(3){5(7)} = (3){7(5)}
Commutative Property
5 + 0 = 5
Identity Property
Step-by-step explanation:
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
round to the nearest tenth for 69.08, 43.96, 39.564 please show how to do it
Answer:
69.08 ⇒ nearest tenth
To round 69.08 to the nearest tenth, 0 is in the tenths place and 8 is in the hundredths place. Since the digit in the hundredths place (8) is greater than 5, add 1 to the digit in the tenths place (0).
1 + 0 = 1, so the digit in the tenths place becomes 1 & the digit in the hundredths place is dropped.
∴ 69.08 ≈ 69.1 (corrected to the nearest tenth)
43.96 ⇒ nearest tenth
To round 43.96 to the nearest tenth, 9 is in the tenths place and 6 is in the hundredths place. Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (9), add 1 to the digit in the tenths place (9). This will also add 1 to the whole number part and make the fractional part 0.
1 + 9 = 10
∴ 43.96 ≈ 44 (corrected to the nearest tenth)
39.564 ⇒ nearest tenth
To round 39.564 to the nearest tenth, 5 is in the tenths place and 6 is in the hundredths place. Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (5), add 1 to the digit in the tenths place (5).
1 + 5 = 6, so the digit in the tenths place becomes 6 & the digit in the hundredths and thousandths place is dropped.
∴ 39.564 ≈ 39.6 (corrected to the nearest tenth)
Rounding to the nearest tenth are:
69.08 rounded to the nearest tenth is 69.1.43.96 rounded to the nearest tenth is 44.0.39.564 rounded to the nearest tenth is 39.6.Rounding to the nearest tenth means finding the nearest multiple of 0.1 or one decimal place.
To do this, examine the digit in the hundredth place and decide whether to round up or down based on that digit.
For 69.08, the digit in the hundredth place is 0.
Since 0 is less than 5 then round down, which means the digit in the tenths place remains the same.
Thus, 69.08 rounded to the nearest tenth is 69.1.
For 43.96, the digit in the hundredth place is 9.
Since 9 is greater than or equal to 5, increasing the digit in the tenths place by 1.
Therefore, 43.96 rounded to the nearest tenth is 44.0.
For 39.564, the digit in the hundredth place is 5.
Since 5 is exactly halfway between 0 and 10, round to the nearest even number.
Thus, 39.564 rounded to the nearest tenth is 39.6.
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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.
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].
What is the remainder when 4x^3+8x-32 is divided by x+10?
Answer:
The remainder is -4112.
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. According to the PRT, when we divide a polynomial P(x) by a binomial in the form of (x - a), then the remainder will be P(a).
We are dividing:
[tex](4x^3+8x-32)\text{ by } (x+10)[/tex]
We can rewrite the divisor as:
[tex]x+10=x-(-10)[/tex]
So, a = -10.
Then according to the PRT, the remainder of the operation will be:
[tex]R=P(-10)=4(-10)^3+8(-10)-32=-4112[/tex]
