[tex]3 b(broccolis=\frac{1}{8} )=\frac{3}{8}[/tex]
[tex]4c(carrots=\frac{1}{6})=\frac{4}{6}[/tex]
Lastly:
[tex]2t(tomatoes=\frac{1}{4})=\frac{2}{4}[/tex]
The graph relates the temperature change y (in degrees Fahrenheit) to the altitude change x (in thousands of feet). Altitude Change
Based on the relationship between the temperature and altitude change, the slope is -3.6 and the y-intercept is 59. The equation of the line is y = - 3.6x + 59.
What is the equation for this line on altitude change v. temperature change?First find the slope. This can be found by the formula:
= (Y₂ - Y₁) / (x₂ - x₁)
Two points on line:
(0, 59) and (7, 33.8)
Slope is:
= (33.8 - 59) / (7 - 0)
= -3.6
The y intercept is the point the line crosses the y axis which is 59.
The formula is:
y = mx + c
Where;
m = slope
c = y intercept
So the equation is:
y = -3.6x + 59
Find out more on linear equations at https://brainly.com/question/2030026.
#SPJ1
Find the surface area of the pyramid.
Answer:
319
Step-by-step explanation:
So, to find the surface area, first we find the base area, which is: 11 x 11 = 121
Then, we have to find the area of the other faces. Since each face is a triangle, we can use the formula A = 1/2 x b x h.
So,
b = 11
h = 9
1/2 x 11 x 9 = 49.5
The, we multiply by 4, the number of sides: 49.5 x 4 = 198
Then, we add the 2, values: 121 + 198,
Which gives us: 319.
Hope this helped!
what is 5.136 rounded to the nearest tenth
Answer:
5.136 is 5.1 to the nearest tenth
An example of a(n) ___is 5, 12 and 13.
Answer:
Pythagorean triple
Step-by-step explanation:
This is usually expressed as a² + b² = c² Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13).
A triangle has one side that is 7 cm long and the other side is 3cm long.
Help please
In any triangle, a side is longer than the difference between the other two. A side is also less the the sum of the other two. If these two rules are not obeyed then a triangle cannot be formed by those sides.
a = 7 cm. b = 3 cm.
Then c > 7-3 = 4 cm and also, c < 7+3 = 10 cm.
4 cm < the third side < 10 cm
Look at the following expression:
the fraction one half x 4 + 6 − 3
Where should a set of parentheses go in the expression to get a value of 2?
Group of answer choices
the fraction one half x (4 + 6) − 3
the fraction one half x 4 + (6 − 3)
( the fraction one half x 4) + 6 − 3
the fraction one half x (4 + 6 − 3)
Answer:
Option AStep-by-step explanation:
Verify the answer choices for the final value of 2.
A) the fraction one half x (4 + 6) − 31/2 × (4 + 6) - 3 = 1/2 × 10 - 3 = 5 - 3 = 2, correctB) the fraction one half x 4 + (6 − 3)1/2 × 4 + (6 - 3) = 2 + 3 = 5 ≠ 2, incorrectC) ( the fraction one half x 4) + 6 − 3(1/2 × 4) + 6 - 3 = 2 + 6 - 3 = 5 ≠ 2, incorrectD) the fraction one half x (4 + 6 − 3)1/2 × (4 + 6 - 3) = 1/2 × 7 = 7/2 = 3 1/2 ≠ 2, incorrectIf three coins are thrown what is the probcbility Obtaining at least two head?
Answer:
2 head and 1 tail form my side
Jean-Paul incorrectly states that
4.2874 + 1.286 = 4.416.
His work is
shown below.
Explain Jean-Paul's
mistake and correct his work.
Please help due at 4:20
What is the solution of the equation 4.5+m=10
Answer:
The first thing that we need to do is subtract 4.5 from both sides because that would removed the 4.5 from the left side and leave us with m by itself. So we get the following [tex]m=5.5[/tex] and that is our solution.
Hope this helps! Let me know if you have any questions
Answer:
5.5
Step-by-step explanation:
to find additional value, subtract the known
[because 4.5 plus (+) a number (m) is equal to (=) 10, the number (m) must be equal to (=) 4.5 minus (-) 10.]
10 - 4.5 = 5.5
to find if this is correct, add it back
4.5 + 5.5 = 10
m = 5.5
hope this helps:)
A student has some $1 and $5 bills in his wallet. He has a total of 17 bills that are worth $49. How many of each type of bill does he have?
The student has $1 bills and
(Type whole numbers.)
$5 bills.
Answer:
He has 8 five $5 bills and 9 $1 bills
Step-by-step explanation:
($5×8)+($1×9)=$49
Jen and her friends are designing a robot for a STEM competition. The goal of the competition is to have a robot complete an obstacle course in the least amount of time.
Jen and her friends need to consider the robot’s height and its width at its base. The robot must be short enough and narrow enough to navigate through several arches along the obstacle course. The director of the competition laid out components of the obstacle course on a coordinate plane. Instead of giving the width and maximum height of the arch, the director created an expression based on the location of the arch on the coordinate plane and gave each team this expression to represent the height of the arch, in inches, at any value of x along the arch:
-x^2 + 5x + 24.
Factor the expression, and use the factors to find the x-intercepts of the quadratic relationship it represents.
Type the correct answer in each box, starting with the intercept with the lower value.
The x-intercepts occur where x =___ and x =___
The x-intercepts for the expression which is used by Jen and her friends to represent the height of the arch, in inches, at any value of x along the arch are 8,0) and (-3,0).
What is a factor of quadratic equation?The factor of a quadratic is the terms in linear form, which are when multiplied together, give the original quadratic equation as a result.
Jen and her friends need to consider the robot’s height and its width at its base. The robot must be short enough and narrow enough to navigate through several arches along the obstacle course.
The expression to represent the height of the arch, in inches, at any value of x along the arch:
[tex]-x^2 + 5x + 24.[/tex]
Factorize this expression by equating it to zero and changing its sign,
[tex]\begin{aligned}-x^2 + 5x + 24=0\\x^2 - 5x - 24=0\\x^2 - 8x +3x- 24=0\\x(x - 8)+3(x - 8)=0\\(x-8)(x+3)=0\\x=8,-3\end[/tex]
Thus, the x intercept of the equation is (8,0) and (-3,0)
Hence, the x-intercepts for the expression which is used by Jen and her friends to represent the height of the arch, in inches, at any value of x along the arch are 8,0) and (-3,0).
Learn more about factor of polynomial here;
https://brainly.com/question/24380382
#SPJ1
Answer: x = 8,0 and x = -3,0
Step-by-step explanation:
Three figures exist such that abcd ≅ ghij and bcda ≅ rstu. if gh = 6 cm, hi = 8 cm, ij = 10 cm, and gj = 9 cm, what is ts? 6 cm 8 cm 9 cm 10 cm
The figures abcd, ghij and rstu are congruent figures, and the value of length ts is 8 cm
How to determine the length ts?The congruent statement is given as:
abcd ≅ ghij and bcda ≅ rstu
The above statement means that:
ts = dc = ij
From the question, we have:
ij = 10 cm
This means that
ts = 10 cm
Hence, the value of length ts is 8 cm
Read more about congruent figures at:
https://brainly.com/question/1675117
#SPJ4
Answer:
D: 10 cm
Worked for me on the "Congruent Figures" quiz on edge
А support wire 12 yards long is attached to the top of a utility pole 10
yards tall and is then stretched taut. To the nearest tenth of a yard, find
how far from the base of the pole wire will be attached from the ground.
Hint: Solve using this equation:
2
2
x² + 10² = 12²
Answer:
6.6 yd
Step-by-step explanation:
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
[tex]10^{2}[/tex]+[tex]b^{2}[/tex]=[tex]12^{2}[/tex] Substitute a= 10 and c=12
100+[tex]b^{2}[/tex]=144 Evaluate the Powers
[tex]b^{2}[/tex]=44 Subtract 100 on both sides.
b=[tex]\sqrt{44}[/tex] Square root both sides b>0 so you dont need ⊥
b=6.6 Use a calculator to evaluate.
Find the length of the curve r=sqrt(1 cos 2 theta)
The length of the curve r=√(1+cos 2θ) is 2π after integrating over the limit 0 to π√2
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have:
[tex]\rm r=\sqrt{(1 +cos 2 \theta)}[/tex]
[tex]\rm r=\sqrt{2cos^2 \dfrac{2 \theta}{2}[/tex]
[tex]\rm r = \sqrt{2}cos\theta[/tex]
[tex]\rm \dfrac{dr}{d\theta}= -\sqrt{2}sin\theta[/tex]
Length:
[tex]\rm L = \int\limits^{\pi\sqrt2}_0 {\sqrt{r^2+(\dfrac{dr}{d\theta}})^2} \, d\theta[/tex]
After the value of r and dr/dθ and solve the definite integral, we will get:
L = 2π
Thus, the length of the curve r=√(1+cos 2θ) is 2π after integrating over the limit 0 to π√2
Learn more about integration here:
brainly.com/question/18125359
#SPJ4
What is the axis of symmetry of h(x) = 6x2 − 60x 147? x = −5 x = −3 x = 3 x = 5
The function h(x) = 6x² - 60x + 147 is a quadratic function, and the axis of symmetry of the function is x = 5
How to determine the axis of symmetry?The equation of the function is given as:
h(x) = 6x² - 60x + 147
Differentiate the function
h'(x) = 12x - 60
Set the function to 0
12x - 60 = 0
Add 60 to both sides
12x = 60
Divide both sides by 12
x = 5
Hence, the axis of symmetry of the function is x = 5
Read more about axis of symmetry at:
https://brainly.com/question/15709421
#SPJ4
Answer:
X = 5 is correct
Step-by-step explanation:
just took the test on edge and got 100%
same thing as last time i just need an answer don't take this down
Answer:
The answer is A.
Answer:
Step-by-step explanation:
Comment
The marks between numbers (there are 3 between each number) represent 0.25
Your point is nearly -6.
Go one backwards -6 + 0.25 = - 5.75
You have to be going toward the positive direction because -6 is smaller than -5.75
Answer: A
Lines a and b are parallel. What is the measuee of angle S?
Answer:
The measure of angle s is 22°
Step-by-step explanation:
Given:
Horizontal lines A and B are parallel and are intersecting because a line is going through the both of them.Top right angle of line A is labeled to be 158°, while the top left angle in line B is labeled S° indicating this variable is the missing degrees.To find:
The angle of S, in degrees.∠1 and 158° are both on a straight line and supplementary.
(Supplementary angles are those angles that sum up to 180 degrees. )
So solving,
⇒ ∠1=180°-158°=22° ....> Angles ∠1 and S are interior angles
Due to lines A and B being parallel, all interior lines are equal.
As a result, the answer is therefore 22°.
WXYZ is a parallelogram. What is the angle DZW?
The correct angle measurement DZW = 55°
How to find the angle DZW?Note the following parameters
, m∠W = 125° and m∠Z = 55°
The measure of angle <DYZ is given as:
<DYZ = 125 ⁰
The opposite angles of a parallelogram are equal.
This means that, angles W and Y have equal measures
This implies that
<ZWZ = <DYZ
<XWZ=125
The adjacent angle of a parallelogram add up to 180 degrees.
This is to say that
<DXW = 180 - <DYZ
<DXW= 180-125
<DXW= 25
Angles X and Z are equal because they are opposite angles.
This is to say that
<Z = 55
Hence, the measure of angle DZW is 55⁰
Learn more about a parallelogram on https://brainly.com/question/29147156
#SPJ1
. Given the number n, write an expression for:
(a) Twice the sum of n and 5
(b) The sum of twice n and 5
© Give a numerical example that shows these are not the same expression.
Answer:
a) 2(n + 5)
b) 2n + 5
Step-by-step explanation:
Writing an algebraic expression:
a) Sum of n and 5 ⇒ n + 5
Twice sum of n and 5 ⇒ 2*(n +5) = 2*n + 2*5
= 2n + 10
b) Twice n ⇒ 2*n = n
Sum of twice n and 5 ⇒ 2n + 5
find the area of this parallelogram 13cm 15cm 20cm
Answer:
260cm²
Step-by-step explanation:
area of this parallelogram 20×13=260cm²
In a random sample of 74 homeowners in a city, 22 homeowners said they would
support a ban on nonnatural lawn fertilizers to protect fish in the local waterways. the sampling
method had a margin of error of +3.1%.
a) find the point estimate.
b) find the lower and upper limits and state the interval.
The point estimate is 29.73% and the lower and upper limits are 26.63% and 32.83% respectively.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
Point estimate = 22/74 = 0.2973 = 29.73%
Lower limit = point estimate - MOE = 29.73 - 3.1 = 26.63%
Upper limit = point estimate + MOE = 29.73 + 3.1 = 32.83%
Thus, the point estimate is 29.73% and the lower and upper limits are 26.63% and 32.83% respectively.
Learn more about the Margin of error here:
brainly.com/question/13990500
#SPJ1
find the width of a rectangular prism if the volume is 165,000 mm3 the length is 100mm and the height is 55 mm
Answer:
Width is 30mm
Step-by-step explanation:
Volume = L×W×H
Volume= 165,000 mm³
Length= 100mm
Height= 55mm
Width= ?
L×H
100mm×55mm= 5500mm
volume ÷ L×W
165,000÷5500=30
width= 30mm
L×W×H=V
100×55×30=165000
which of the following is the solution for the inequality below? -3x+2<8
Answer:
x>-2
Step-by-step explanation:
First you have to subtract 2 from both sides, which leaves you with -3x=6, then you have to divide -3 on both sides to get the variable by itself. Which is x<-2, but you have to switch the sign because you multiplied/divided by a negative number, then you get left with x>-2........Hope that helped!!!!!!!!!!:)
3l of ice cream is 10$ 4l of ice cream is 12% which is the better choice
Answer:
4l of icecream
Step-by-step explanation:
10÷3=3.33
12÷4=3
Find the derivative of the function.
Answer:
b. 4x
Step-by-step explanation:
We can use the power rule for derivatives, which says [tex]\frac{d}{dx} x^n = nx^{n-1[/tex]
So, if [tex]f(x) = 2x^2 + 1[/tex]
then [tex]f'(x) = 4x[/tex].
The 1 goes away because the derivative of any constant is 0.
hope this helped!
Answer:
b. 4x
Step-by-step explanation:
We can use the power rule for derivatives, which says
So, if
then .
The 1 goes away because the derivative of any constant is 0.
Find the distance between the given parallel planes. 4x − 5y z = 16, 8x − 10y 2z = 2
The distance between the two planes 4x-5y+z=16 and 8x-10y+2z=2 will be 2.34 units.
What is a plane?
A plane is a flat surface on which a straight line joining any two points on it would wholly lie.
Given equations are
[tex]4x-5y+z=16[/tex]
[tex]8x-10y+2z=2[/tex]
The distance between two planes is given by the formula:
[tex]D=\dfrac{|d_2-d_1|}{\sqrt{a^2+b^2+c^2}}[/tex]
Here from equations
[tex]4x-5y+z=16[/tex]
[tex]8x-10y+2z=2[/tex]
We can also write the equation [tex]8x-10y+2z=2[/tex] as:
[tex]4x-5y+z=1[/tex]
So now the two equations are:
[tex]4x-5y+z=16[/tex]
[tex]4x-5y+z=1[/tex]
here a=4 b=-5 c =1 and d1=16 d2=1
Putting the values in the equation.
[tex]D=\dfrac{|-16+1|}{\sqrt{4^2+(-5)^2+(10^2)}}[/tex]
[tex]D=2.34[/tex]
Hence the distance between the two planes 4x-5y+z=16 and 8x-10y+2z=2 will be 2.34 units.
To know more about Plane distance follow
https://brainly.com/question/1597347
#SPJ4
can someone pls help need this done by tomorrow
No, no lil one, you're going wrong.
1.a. Calculate the total surface area of the cube. 6(l^2) =144x6 = 864 sq. inch1.b. Calculate the volume of the cube. l^3 =12x12x12 = 1728 cu. inchSlove the rest by yourself
Remember:
Surface area of cuboid is 2(lb+bh+hl), where l is length, b is breadth and h is height. Volume of cuboid is lbh, where l, b, h mean the same as in 1.A watering can contained 5 1/2 quarts water. After all the plants were watered, only 4 cups remained.
How many cups of water were used to water the plants?
A: 7 Cups
B: 18 Cups
C: 40 Cups
D: 84 Cups
Answer:
b:18 cups
Step-by-step explanation:
It is because 5.5 quarts of water is equal to 22 cups of water because 1 quart is equal to 4 cups.
now when you take 4 cups away you have 18 cups left
SOMEONE HELP ME PLEASE IM STUCK ON THIS
Step-by-step explanation:
2×2×2×2
3 3 3 3
2×2×2×2
3×3×3×3
16
3×3×3×3 (divide)
= 16/81
hope it helpsss!!
can you mark me as the brainliest
What is the amplitude of this equation? y = -10cos(5x)
Answer:
The amplitude is 10.
Answer:
the amplitude of this equation is 10
Step-by-step explanation:
I took extra mathematics in high school :)
I hope this helps you! Good luck !