sarah burned 280 calories running 20 minutes the next day sarah burned 490 calories for running 35 minutes write an equation that represents this relationship
The points M(-7,2), N(-3,4), O(-5,8)M(−7,2),N(−3,4),O(−5,8), and P(-9,6)P(−9,6) form a quadrilateral. Find the desired slopes and lengths, then fill in the words that BEST identifies the type of quadrilateral.
The slope of line PO and MN is 0.5. And the slope of the line ON and MP is negative 2. Then each length of the quadrilateral is 4.47 units.
What is a quadrilateral?It is a quadrilateral with four sides. The total interior angle is 360 degrees.
The points M(−7,2), N(−3,4), O(−5,8), and P(−9,6) form a quadrilateral.
Then the slope of each line of the quadrilateral will be
The slope of the line PO will be
PO = (8-6)/(-5+9)
PO = 2/4
PO = 0.5
The slope of the line ON will be
ON = (8-4)/(-5+3)
ON = 4/(-2)
ON = -2
The slope of the line MN will be
MN = (4-2)/(-3+7)
MN = 2/4
MN = 0.5
The slope of the line MP will be
MP = (6-2)/(-9+7)
MP = 4/(-2)
MP = -2
Then each length of the quadrilateral will be
The length of PO will be
PO = √[(-9+5)² + (6-8)²]
PO = 4.47
The length of ON will be
ON = √[(-5+3)² + (8-4)²]
ON = 4.47
The length of MN will be
MN = √[(-3+7)² + (4-2)²]
MN = 4.47
The length of MP will be
MP = √[(-9+7)² + (6-2)²]
MP = 4.47
More about the quadrilateral link is given below.
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i need help for brianliest
simplify........
[tex] {4x}^{2} {y}^{3} \times 3x {y}^{2} [/tex]
Answer:
12x^3y^5
Step-by-step explanation:
4x^2y^3 × 3xy^2 = 12x^3y^5
Help plsss!! I’d rlly appreciate it :]
(You don’t have to answer all of them but I rlly need the first question!!)
The Apple iPad Mini 2 has dimensions of: Height: 7.9 in, Width: 5.30 in, Depth: 0.30 in.
1. What is the volume of the Apple iPad Mini 2?
2. If Pear-Apple applies a scale factor of 1.25 to the iPad Mini 2 to make a new tablet, what would be the new volume in cubic inches?
3. Suppose Pear-Apple applies a scale factor of .75 to the iPad Mini 2 to make the Lil Mini. What would be the volume for the Lil Mini in cubic inches.
4. Pear-Apple scraps their plans and decide to come up with a product that is half the volume of the iPad Mini. What scale factor should they use and what should the dimensions be?
5. Pear-Apple also wants to make a bigger tablet. They want the tablet to have twice the volume from the iPad Mini 2. What’s the scale factor and dimensions of the tablet?
The volume of the Apple iPad Mini 2 is 12.561 in³.
The new volume of the Pear-Apple is 24.53 in³.
The new volume of the Pear-Apple is 5.3in³.
The scale factor to have a volume that is half that of the iPad Mini is 0.79.
The scale factor to have a volume that is double that of the iPad Mini is 1.26
What is the volume of the Apple iPad Mini 2?Volume = length x width x height
7.9 x 5.30 x 0.30 = 12.561 in³
What is the volume after the scale factors are applied?Dimensions after the 1.25 scale factor is applied: (1.25 x 7.9) x (1.25 x 5.30) x (1.25 x 0.3)
= 9.875 x 6.625 x0.375 = 24.53 in³
Dimensions after the 0.75 scale factor is applied: (0.75 x 7.9) x (0.75 x 5.30) x (0.75 x 0.3)
= 5.925 x 3.975 x 0.225 = 5.3in³
Scale factor to have a volume that is double that of the iPad Mini : [tex]2^{1/3}[/tex] = 1.26
Scale factor to have a volume that is half that of the iPad Mini : [tex]0.5^{1/3}[/tex] = 0.79
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solve the quadractic equation 3x^2-5x-7=0
Hello!
[tex]\sf 3x^2-5x-7=0\\\\x = \dfrac{-b\±\sqrt{b^{2}-4ac } }{2a} \\\\\\x = \dfrac{-(-5)\±\sqrt{(-5)^{2}-4 ~\times~3~\times~ (-7) } }{2~\times~ (-5)} \\\\\\\boxed{\sf x = \dfrac{5\±\sqrt{109} }{-10}}[/tex]
On a standardized exam, the scores are normally distributed with a mean of 21 and a
standard deviation of 4. find the z-score of a person who scored 13 on the exam.
The Z score is -2 if the standardized exam, the scores are normally distributed with a mean of 21 and a standard deviation of 4.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have:
u = 21
SD = 4
X = 13
[tex]\rm Z = \dfrac{13-21}{4}[/tex]
Z = -2
Thus, the Z score is -2 if the standardized exam, the scores are normally distributed with a mean of 21 and a standard deviation of 4.
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Michaels goal is to walk 5 miles per week he has already walked 2 1/4 miles how many more miles must he walk to reach his goal
Answer:
2 3/4 miles more
Step-by-step explanation:
5 - 2 1/4 = 2 3/4
need help on this please
Step-by-step explanation:
the slope-intercept form is
y = ax + b
"a" is the slope (the slope is in all forms the factor of x). and "b" is the y-intercept (the y value when x = 0).
so the first equation is
y = -5x + b
b we get by using the point coordinates :
-22 = -5×5 + b = -25 + b
b = 3
so, the full equation is
y = -5x + 3
for the second equation we need to calculate the slope first. remember, it is the ratio "y coordinate change / x coordinate change" :
x changes by +1 (from -4 to -3).
y changes by +7 (from -2 to 5).
the slope is +7/+1 = 7/1 = 7.
the equation looks like
y = 7x + b
again, we use the coordinates of a point to get b. I picked (-4, -2) :
-2 = 7×-4 + b = -28 + b
b = 26
and the full equation is
y = 7x + 26
Here are the approximate populations of three countries, expressed in scientific notation: Panama: 4 × 10 6 ; Peru: 3.2 × 10 7 ; Thailand: 7 × 10 7.
Decide what power of 10 to put on the label for the rightmost tick mark of this number line so that all three countries’ populations can be distinguished.
Using scientific notation, the power of 10 that should be put on the label is of [tex]10^7[/tex], hence x = 7.
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
In this problem, we don't want to increase the base values much. Panama's population can be represented as:
[tex]4 \times 10^6 = 0.4 \times 10^7[/tex]
Hence, the power of 10 that should be put on the label is of [tex]10^7[/tex], hence x = 7.
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if 60% of a number is 120 and 25% of the same number is 50 find 85% of that number
PLEASE HELP!
CORRECT= BRAINLIEST
Answer:
85% of 200 = 170
Step-by-step explanation:
Method
Let the number = x
60/100 * x = 120
0.6 x = 120 Divide by 0.6
0.6x/0.6 = 120/0.6
x = 200
25% x = 50 Convert 25% to a fraction
25/100 x = 50
0.25x = 50 Divide by 0.25
0.25x/0.25 = 50/0.25
x = 200
85% 200 = x Change 85% to a fraction
85/100 * 200 = x Multiply 85 and 200 together
17000 /100 = x Divide by 100
170 = x
Answer
85% of 200 = 170
The probability that it will snow tomorrow is 20%. What are the odds in favour of snowing tomorrow?
A) 4 to 1
B) 1 to 5
C) 1 to 4
D) 5 to 1
One group of friends, Lamoie, Shawn, and Colin, are all one year apart. Another group of friends, Conor
Jakeem, and Caleb, are two years apart. Conor is two years younger than Lamoie. Lamoie is the oldest of his
group. Caleb is the youngest of his group. Jakeem is older than Colin. Which boys are the same age? Explain
your thinking.
NEED THIS QUICK Karen earns $28,000 per year as a fashion consultant. She has personal exemptions that total $2,100. Use the table below to determine how much will be withheld annually for state income taxes.
Annual Gross Pay Tax Rate
First $1,000 1.5%
Next $2,000 3%
Next $2,000 4.5%
Over $5,000 5%
Karen earns $28,000 per year as a fashion consultant. She has personal exemptions that total $2,100. Use the table below to determine how much will be withheld annually for state income taxes.
Annual Gross Pay Tax Rate
First $1,000 1.5%
Next $2,000 3%
Next $2,000 4.5%
Over $5,000 5%
$1,460.00
$3,626.00
$1,210.00
$1,315.00
Answer:
$1,210
Step-by-step explanation:
$28,000 - $2,100 = $25,900
$25,900 - $5,000 = $20,900
1.5% × $1,000 = $15
3% × $2,000 = $60
4.5% × $2,000 = $90
5% × $20,900 = $1,045
$15 + $60 + $90 + $1,045 = $1,210
What is the value of x?
Step-by-step explanation:
2 things to remember :
1. the sum of all angles in a triangle is always 180°.
2. the sum of all angles around a single point on one side of a line is also 180° (because the line can be seen as the diameter of a circle, the point as its center, and so every side of the line is a half-circle = 180°).
so, the third, unnamed angle in the triangle is the supplementary angle to 142° (that means they complete each other to full 180°).
it is therefore
180 - 142 = 38°
and then, inside the triangle
180 = 66 + x + 38 = 104 + x
x = 76°
Expand to write an equivalent expression
-1/4 (-8x + 12y)
Answer:
3y-2x.Step-by-step explanation:
Step 1:
Simplify 1/4:Solution: 1/4(12y - 8x).Step 2:
Pull out like factors:
12y - 8x = -4(2x -3y)Solution to this question:
3y - 2x.Answer:
2x-3y
Step-by-step explanation:
-1/4×-8x= 8/4x = 2x
-1/4×12y= - 12y/4 = -3y
2x-3y
Find the equation of the line that has a slope of -3 and a y-intercept at 5.
y = -3x + 5
y = -5x + 3
y = 5x - 3
y = 3x - 5
2.
Find the equation of the line that has a y-intercept of -1 and a slope of 1/2.
y = -x + 1/2
y = 1/2 x - 1
y = -1/2 x + 1
y = 1x - 1/2
3.
Find the equation of the line where m = 1 and b = 8.
y = x + 8
y = 8 - x
y = 8x + 1
y = 8
4.
Find the equation of the line that goes through the point (1, -1) and has a slope of 5.
y = 5x - 6
y = 5x + 1
y = 5x - 1
y = x + 5
5.
Find the equation of the line that goes through the point (2, -3) and has a slope of -1.
y = -x - 1
y = 2x - 3
y = -x - 3
y = -x + 2
6.
Find the equation of the line that goes through the point (5,1) and has a slope of 0.
y = 5
y = 1
y = 5x + 1
x = 5
7.
Find the equation of the line that goes through the point (-2, -2) and has a slope of -4.
y = -2x - 2
y = -4x - 10
y = -4x - 2
y = -2x - 4
8.
Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 2
y = -5x + 4
y = -1/5 x + 4
y = 1/5 x - 4
9.
Find the equation of the line that goes through the points (2, 2) and (6, 6).
y = 2x + 6
y = 6x + 2
y = x
y = -x
10.
Find the equation of the line that goes through the points (0, 6) and (12, 2).
y = 12x + 2
y = -3x + 6
y = -1/3 x + 6
y = -1/3 x + 2
11.
Find the equation of the line that goes through the points (4, 4) and (8, 6).
y = 4x + 6
y = 1/2 x + 2
y = 2x - 4
y = 1/2 x + 4
Step-by-step explanation:
1. A
2. B
3. A
4. A
5. A
6. B
7. B
8.C
9. C
10. C
11. C
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?
Answer:
See below ~
Step-by-step explanation:
Formula to find shaded area :
Area (shaded) = Area (square) - Area (white triangle)Area (shaded) = s² - 1/2bhArea (shaded) = (4)² - 1/2(4)(4)Area (shaded) = 16 - 8Area (shaded) = 8 square unitsKindly check and refer this working to find a satisfactory expression.
Area
1/2BH1/2(4)(4)1/2(4²16/28units²Please Help ASAP! What is the amplitude of the function graphed below?
Answer:
2
Step-by-step explanation:
To find the amplitude, find the distance between the the highest and lowest y value and divide it by 2.
[tex] | \frac{2 - ( - 2)}{2} | = 2[/tex]
The amplitude of the function is 2.
HELP NEED NOWWWWW I WILL GIVE U BRAINLIEST
Heyo!
idqfxemo iis here to help!
The answer is...
A.
Hopefully, this helps you!!
idqfxemo~
The perimeter of an equilateral triangle is 5.1 m. How long are its sides?
Answer:
1.7 meters
Step-by-step explanation:
because an equilateral triangle has 3 sides and they are all the same you can just divide 5.1 by 3
5.1 / 3 = 1.7
it is 1.7 m
Answer:
x are sides of the traingle
5.1 = 51upon10 51/10
51 upon 10 =3x
3x = 51 upon 10
x= 3/51 upon 10 =
x= 3*10upon 51
=10upon 17
side of the traingle is 10/17
Step-by-step explanation:
help me please
Trina invests $ 16000 at a rate of 5% per year interest. Work out the value of her investment at the end of a year.
Answer:
16820.16 dollar.
Step-by-step explanation:
future =present value *(1+i)^n
n=1 year.
(PLEASE HELP)What is the surface area?
Answer:
it would be six square yards or add all the numbers and your total will be it
Step-by-step explanation:
A scale drawing for a rectangular parking lot measures 7 cm by 13. 3 cm. The scale is 1 cm : 25 m. Find the area of the parking lot
Answer:
58,187.5 m²
Step-by-step explanation:
1 cm : 25 m
7 cm = 25 × 7 m
7 × 25 = 175 m
13.3 × 25 = 332.5 m
area = 332.5 m × 175 m
Does anyone know the answer and how to get the answer ?
Answer:
3. [tex]384\ square\ inches[/tex]
Step-by-step explanation:
To solve this, find the areas of the smaller geometric shapes and add them together.
1. Rectangle (top)
[tex]A_1 = lw = 20 * 5 = 100[/tex]
2. Rectangle (middle)
[tex]A_2 = lw = 20 * 8 = 160[/tex]
3. Rectangle (bottom)
[tex]A_3 = lw = 20 * 5 = 100[/tex]
4. Triangle (left)
[tex]A_4 = \frac{bh}{2} = \frac{8*3}{2} = \frac{24}{2} = 12[/tex]
4. Triangle (right)
[tex]A_5 = \frac{bh}{2} = \frac{8*3}{2} = \frac{24}{2} = 12[/tex]
Add the areas together for the total surface area.
[tex]A_t = 100 + 160 + 100 + 12 + 12 = 384[/tex]
If you bought a pre-made fruit salad at the store, the price is $14. 99. How much do you save by making your own?
please help me with this i’m lost
Answer:
2 is fuction
3 fuction
4 is not a fuction
5 not a fuction
6 is fuction
7 fuction
8 not a fuction
9 fuction
10 fuction
Step-by-step explanation:
the x's should not be repeated
Tell whether the figure is a polygon. If it is a polygon,
classify it and tell whether it is convex or concave.
Answers:
Polygon? YesClassify: PentagonThe polygon is concave===================================================
Explanation:
The figure is a polygon because it's composed of straight lines only, and we have a closed loop (or enclosed area).
This is a pentagon since it has 5 sides
The pentagon is concave because of the angle kicked in up top that caves in, so to speak. This interior angle exceeds 180 degrees and is known as a reflex angle.
Here's another way to determine the figure is concave: It's possible to pick two points inside the polygon such that the segment formed between them crosses outside the boundaries. See the diagram below.
PLS HELP I NEED THIS QUICKKKKK
Answer:
the top two are correct and the third one is the yogurt
eight hundred sixty four minus three hundred three
