Answer:
[tex]k = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
x 2 4 6 8
y 1 2 3 4
Required
Determine the constant of proportionality (k)
The relationship between x and y is:
[tex]y = kx[/tex]
When y = 1, x = 2;
So, we have:
[tex]1 = k * 2[/tex]
[tex]2 * k = 1[/tex]
Make k the subject
[tex]k = \frac{1}{2}[/tex]
Hence, the constant of proportionality is 1/2
Find the perimeter of the square. Be sure to write the correct unit in your answer.
17 mM
Answer:
P=17×4=68mm
...........
A person takes up 18 inches of space on a stadium bleacher. If one row of bleachers is 100 feet long and
there are 20 rows of bleachers, how many people can fit into the stands?
The number of people who can fit into the stands in the stadium is 1,333 people
Number of people in the stadiumSpace taken by each person = 18 inches
Length of a row of bleachers = 100 feet
Rows of bleachers = 20
Conversion of feet to inches1 feet = 12 inches
100 feet = 1200 inches
Number of people per row = 1200 inches ÷ 18 inches= 66.67 people
Number of people that fits the stand = Number of people per row × Rows of bleachers= 66.67 × 20
= 1,333.4
Approximately,
1,333 people can fit into the stands in the stadium
Learn more about unknown number:
https://brainly.com/question/4344214
Find the surface area of the square pyramid
Answer:
341 m²Step-by-step explanation:
surface area of a square base pyramid = base area + 4 ( triangular sides area)
where:
base = 11 m
side height length = 10 m
Surface area = 11² + 2(11)10
= 121 + 220
= 341 m²
5TH GRADE LEVEL QUESTION: LOOK AT PHOTO AND ANSWER (GIVING BRAINLIEST )
Bob opened a savings account with $115. He now saves$35 a month(x). Write an equation representing how much money (y) Bob has in his savings account.
Answer:
y=115+35x
Step-by-step explanation:
[tex]5x^{2} + x-7=[/tex]
Equation: [tex]5x^2+x-7[/tex]
Since there aren't any like terms and it can't be factored, your answer would be:
[tex]5x^2+x-7[/tex]
Hope this answer helped you!
Find the perimeter of this semi-circle with diameter,
d
= 32cm.
Give your answer as an expression in terms of
π
.
Answer:
let the
radius = diameter/2= 32/2= 16cm
now
perimeter of semi circle = 1/2×22/7×r
= 1/2×22/7×16
= 25.14cm
hence perimeter of semi circle is 25 .14cm
On a horizontal number line, -6 is located to the
left
of -4. So, -6 is
than -4.
Answer:
less than -4
Step-by-step explanation:
2(n+5)= -2 pls help this urgent pls
Answer:
-120 = N
Step-by-step explanation:
d-4=19 d=15 answer please
Answer:
I think the answer is 8
A square has sides 5 inches long. what is the approximate length of a diagonal of the square?
Answer:
20
Step-by-step explanation:
5x4= 20
A bus travels at a constant speed of 48 km/h. How long will it take to travel 600 km?
Answer:
It will take 12 and 30 hours
Step-by-step explanation:
To solve this, you need to divide by distance needed to travel by the speed
600/48 is equal to 12.5 hours.
.5 hours is equal to 30 mins because 60mins times .5 is 30 minutes, therefore the final answer is 12.5 hours
I hope this helps :)
What is 20 increased by 50%
Answer:
30.00
Step-by-step explanation:
20 Increased By 50% Is 30.00
Answer:
30
Step-by-step explanation:
20 divided by 2 = 10 + 20 = 30
6z-7=2z-2 can't figure it out
Answer:
[tex]\huge\boxed{z=\dfrac{5}{4}=1\dfrac{1}{4}=1.25}[/tex]
Step-by-step explanation:
[tex]6z-7=2z-2\qquad|\text{add 7 to both sides}\\\\6z-7+7=2z-2+7\\\\6z=2z+5\qquad|\text{subtract}\ 2z\ \text{from both sides}\\\\6z-2z=2z-2z+5\\\\4z=5\qquad|\text{divide both sides by 4}\\\\\dfrac{4z}{4}=\dfrac{5}{4}\\\\\boxed{z=\dfrac{5}{4}}[/tex]
Answer: z = 5/4
Step-by-step explanation: First simplify the equation by subtracting 2z from both sides and adding 7 to both sides to get 4z = 5.
Step by step below
6z -7 = 2z -2
-2z -2z
4z -7 = -2
+7 +7
4z = 5
Now divide both sides by 4 to get z = 5/4
4z/4 = 5/4
z = 5/4
Hope this helps!
HELPPP PLEASEEE ASAPP
Answer:
1.7
Step-by-step explanation:
HELP HELP HELP NOW!!!
Answer:
The 3rd one
Step-by-step explanation:
I think
Answer:
it's the last one
'the slope of ab is different than the slope of BC
Step-by-step explanation:
2s + 4 = 20
s = what
Brody is going to invest in an account paying an interest rate of 3.7% compounded monthly. How much would Brody need to invest, to the nearest hundred dollars, for the value of the account to reach $34,000 in 13 years?
Answer:
21000
this is the answer
The value of the account is to reach $34,000 in 13 years with a rate of 3.7 compounded monthly is $ 21,000.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Brody is going to invest in an account paying an interest rate of 3.7% compounded monthly.
The rate of interest yearly will be
[tex]\rm Yearly \ rate = \dfrac{3.7}{12}\\\\Yearly \ rate = 0.308 \%[/tex]
The value of the account is to reach $34,000 in 13 years.
Amount (A) = $ 34,000
Time (t) = 13 years
Rate (r) = 0.308 %
Then the principal amount will be
[tex]\begin{aligned} A &= P (1 + \dfrac{r}{100})^{12*t}\\\\34000 &= P (1 + \dfrac{0.308}{100}) ^{13 * 12}\\\\34000 &= P (1.00308)^{156}\\\\P &= 21,044 \approx 21,000 \end{aligned}[/tex]
The principal amount is $21,000.
More about the compound interest link is given below.
https://brainly.com/question/25857212
How would you describe this pattern's rule? 65, 62, 59, 56, 53,50
The rule of the pattern follows that each successive number is 3 lesser than the preceeding Value.
The first term = 65
Second term = 65 - 3 = 62
Third term = 62 - 3 = 59
Fourth term = 59 - 3 = 56
Fifth term = 56 - 3 = 53
Sixth term = 53 - 3 = 50
Therefore, each successive number is reduced by 3.
Learn more : https://brainly.com/question/18479471
Solve for x and find the measure of
Answer:
C
Step-by-step explanation:
180 - 42 - 38 = 100
Students at three elementary schools collected a total of 29,294 cans of food to donate to a local food bank. Students at Johnson Elementary collected 9,987 cans of food, while students at Lincoln Elementary School collected 12,462 cans of food. How many cans of food did students at Richardson Elementary School collect
Answer:
6,845 cans
Step-by-step explanation:
Total of 29,294 cans of food to donate to a local food bank
Students at Johnson Elementary collected 9,987 cans of food
Students at Lincoln Elementary School collected 12,462 cans of food.
Total number of food can collected =
Food cans at Johnson Elementary + Food cans at Lincoln Elementary +
Food cans at Richardson Elementary
The Food cans collected at Richardson Elementary = Total food cans - (Food cans at Johnson Elementary + Food cans at Lincoln Elementary )
= 29,294 cans - (9,987 + 12,462) cans
= 29,294 cans - 22,449 cans
= 6,845 cans
Therefore, the cans of food that the students at Richardson Elementary School collected is 6,845 cans
A rectangle has a length of x +5 and a width of
X-7. Write an equation that describes the area, A,
of the rectangle in terms of x.
A = 2x + 12
b. A= 2x - 2
A=x2 + 12x - 35
d. A=x? - 2x - 35
Answer:
A=x2 - 2x -35
Step-by-step explanation:
x+5 x-7
The solution is Option D.
The area of the rectangle is A = x² - 2x - 35
What is the Area of a Rectangle?
The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Now , the value of A is
The length of the rectangle L = x + 5
The width of the rectangle is W = x - 7
And ,
The area of rectangle = L x W
Substituting the values in the equation , we get
The area of rectangle = Length of rectangle x Width of rectangle
The area of rectangle = ( x + 5 ) ( x - 7 )
On simplifying the equation , we get
The area of rectangle A = x ( x - 7 ) + 5 ( x - 7 )
The area of rectangle A = x² - 7x + 5x - 35
The area of rectangle A = x² - 2x - 35
Therefore , the value of A is x² - 2x - 35
Hence , the area of rectangle is x² - 2x - 35
To learn more about area of rectangle click :
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Rewrite the exponential expression 25^3/2as a radical expression-
plss helpp
Answer:
[tex]\huge\boxed{\sqrt{25^{3}}}[/tex]
Step-by-step explanation:
When we have a number to a fraction power, we need to note that
It's the same as taking the denominator root of the base to the numerator powerBasically, for example, [tex]5^{\frac{1}{2}}[/tex] is the same as [tex]\sqrt{5}[/tex] since the numerator is 1 ([tex]5^1 = 5[/tex]) and the denominator is 2 ([tex]\sqrt{5}[/tex]).
Applying this same logic to [tex]25^{\frac{3}{2}}[/tex] -
[tex]25^{3}[/tex]
[tex]\sqrt{25^3}[/tex]
Hope this helped!
Answer:
Step-by-step explanation:
25 3/2 If n is a positive integer that is greater than x and a is a real number or a factor, then a x n = n
√ a x
. a
x n
= n
√ a x Use the rule to convert
25 3 2 to a radical, where a = 25
, x = 3 and, n = 2 .
√25 3
The result can be shown in multiple forms.
Exact Form: √25 3
Decimal Form:
125
One-hour carbon monoxide concentrations in air samples from a large city average 12 ppm (parts per million) with standard deviation 9 ppm.
Required:
a. Do you think that carbon monoxide concentrations in air samples from this city are normally distributed.
b. Find the probability that the average concentration in 100 randomly selected samples will exceed 14 ppm.
Answer:
0.0132
Step-by-step explanation:
No
Carbon monoxide concentrations sample in air from a large city are not normally distributed. This is often so because of the time of the day and that of the night. There exists different concentrations during the day, with respect to during the night. The companies and factories work during the day, so does most vehicles. This means that there tend to be a higher concentration during the day, than there will be during the night.
b)
Assuming that Y' is approximately normal, we can say that
P(Y' > 14) = P(Z > [√100(14 - 12)/9]) and this is equal to
P(Z > 2.22) = 0.013
I need the answer now. Which of the following values in the set below will make the equation 4x + 2 = 18 true? (Only input the number.) {0, 1, 2, 3, 4} (5 points)
Answer:
x=4
Step-by-step explanation:
at x=4
[tex]4(4)+2=18\\16+2=18[/tex]
Answer:
4
Step-by-step explanation:
bc 4 times 4 is 16 plus 2 is 18
Find each missing measure
Help please
2.
Find x
4x+5
10x-40
6x+5
X=
FIND X?!??
Classify the triangle that satisfies the following set of conditions: one right angle and two congruent sides.
Answer:
A Right angled triangle
the largest metric prefix that is ordinarily used is tera, while the smallest prefix is pico. How much larger is a teramtere
Answer:
A terameter is 10²⁴ times larger than a picometer.
Step-by-step explanation:
Here is the complete question:
The largest metric prefix that is ordinarily used is tera, while the smallest prefix is pico. how much larger is a terameter than a picometer.
Step-by-step explanation:
1 tera = 10¹² and
1 pico = 10⁻¹²
To determine how much larger a terameter is than a picometer, we will divide the value of 1 terameter by the value of 1 picometer.
1 terameter = 10¹² meters and
1 picometer = 10⁻¹² meters
1 terameter / 1 picometer = 10¹² / 10⁻¹²
= 10¹²⁻⁽⁻¹²⁾
= 10¹²⁺¹²
= 10²⁴
Hence, a terameter is 10²⁴ times larger than a picometer.
Write an equation of a sphere with center ( 0 , 8 , 0 ) (0,8,0) , and with the sphere tangent to the plane with equation x
Answer:
[tex]\mathbf{ x^2 + (y-8)^2 +(z)^2 = 32}[/tex]
Step-by-step explanation:
Given that:
The center of the sphere = (0,8,0)
[tex]The \ equation \ of \ the \ tangent \ plane \ is:[/tex]
= x - y = 0
x = y
However, the radius of the sphere is equal to the perpendicular distance of the plane from the center.
As such, the radius [tex]r = \Big | \dfrac{ax_1 +by_1+cz_1}{\sqrt{a^2 + b^2 +c^2}} \Big |[/tex]
[tex]r = \Big | \dfrac{1*0 +(-1)*8+0*0}{\sqrt{1^2 + (-1)^2 +0^2}} \Big |[/tex]
[tex]r = \Big | \dfrac{-8}{\sqrt{2}} \Big |[/tex]
[tex]r = \dfrac{8}{\sqrt{2}}[/tex]
[tex]r = \dfrac{4 \times 2}{\sqrt{2}}[/tex]
[tex]r = 4\sqrt{2}[/tex] units
Thus, the equation of the sphere [tex]r^2 = (x -x_1)^2 +(y-y_1)^2 +(z -z_1)^2[/tex]
[tex]\mathbf{\implies x^2 + (y-8)^2 +(z)^2 = 32}[/tex]