Answer:
4/2
Step-by-step explanation:
Find number closest to 1.5
\(\frac{4}{2} = 2\\1/2=0.5\\6/2 = 3\\\\2/4 = 0.5\)
4/2 is closest to 1.5
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If it takes 5 gallons of gas to drive 125 miles, how many miles can be driven using 8 gallons of gas? (GIVE ONLY NUMERICAL ANSWER)
2.) Kyle swims a 1/2 mile every 1/4 hour. How far will he swim in one hour?
Answer:
I think it would be 2 miles
Step-by-step explanation:
This is because 1/4 of an hour is 15 minutes
so in 15 minutes he swims half a mile
4 x 15 = 60 minutes
so 4 x 1/2 = 2miles
Ethan Planted a tree that was 1.85 meters tall. Several years later, the tree is 5.30 meters tall. Which equation can be used to find x, the number of meters the tree has grown?
A. 1.85x= 5.30
B. 1.85+ x= 5.30
C. 1.85+ 5.30= x
D. 1.85 (5.30)= x
Answer:
x = B the answer is b
Step-by-step explanation:
Help I need help ON THISSSS
Answer:
ms girll i think you multiply
Answer:
3. 147 \(ft^{3}\) 4. \(\frac{160}{3} \pi\) \(ft^{3}\)
Step-by-step explanation:
3. Volume of a square pyramid = \((base.edge.length)^{2}\) × \(\frac{height}{3}\)
Variables:
V = volume
x = base edge length
h = height
V = \(x^{2}\) × \(\frac{h}{3}\)
x = 7 ft
h = 9 ft
Plug the values in the equation:
V = \(7^{2}\) × \(\frac{9}{3}\)
V = 49 × 3
V = 147 \(ft^{3}\)
4. Volume of cone = \(\pi r^{2} \frac{h}{3}\)
Variables:
V = volume
r = radius
h = height
V = \(\pi r^{2} \frac{h}{3}\)
r = 8ft /2 = 4 ft (radius is half of the diameter)
h = 10 ft
V = \(\pi 4^{2} \frac{10}{3}\)
V = \(\pi\) × 16 × \(\frac{10}{3}\)
V = \(\frac{160}{3} \pi\) \(ft^{3}\)
How do you find the length of a rectangle when given the area?
we will find the length of rectangle when area is divided by the breadth of rectangle.
what are the properties of rectangle?Some properties are rectangle are stated below:
1. rectangle has four right angles
2. rectangles has four sides and equal opposite sides which are parallel to each other.
3.rectangle has two diagonals which are similar in length.
which is the formula for finding the length?The bigger side lengths are called length and the smaller sides are called breadth of rectangle.
if area of rectangle is given, we can find length when area is divided by its breadth.
length = area/breadth
hence, length of rectangle is determined from the value of area and breadth.
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Alejandra correctly wrote the equation y - 3 = (x - 10) to represent a line that her teacher sketched. The teacher then
changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent
the new line?
O y-6 = 2(x - 10)
Oy-2 = 5(x - 10)
Oy-3 = {(x-2)
Oy-3 = 2(x - 10)
The diameter of a pinhead is 0.000004 mm. What is this number,
without units, in scientific notation?
Answer:
4*10^-6
Step-by-step explanation:
PLEASE HURRY LIMITED TIME TEST QUESTION!!!!
Question Write the standard form equation of a circle given the center of (-7, -15) and an area of A = π. Show all work for your calculations using the equation editor.
The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.
What is the equation of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
The area of the circle is 9π. Then the radius of the circle is given as,
A = π
πr² = π
r² = 1
The center of the circle is at (-7, -15). Then the equation of the circle is given as,
(x + 7)² + (y + 15)² = 1
The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.
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Any help is appreciated<3
A jewelry shop is offering a percent discount on the original price of a jade pendent. The original price of the pendant was $200.
Let d represent the percent discount, written as a decimal. Write an equation to find the discount price, y dollars, of the pendant.
An equation to find the discount price, y dollars, of the pendant is y=2d.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The original price of the pendant was $200.
Let d represent the percent discount, written as a decimal.
The discount price, y dollars, of the pendant.
y=d% of 200
y=d/100 ×200
y=2d
Therefore, an equation to find the discount price, y dollars, of the pendant is y=2d.
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the diameter, in centimeters (cm), of each tree in a random sample of trees in a forest was measured. the histogram shown summarizes the diameters.
(A) The distribution consists of two clusters and a gap, which best describes the distribution.
What is a histogram?The AA histogram is an approximation of the distribution of numerical data. Karl Pearson was the first to coin the phrase. The first step in creating a histogram is to "bin" (or "bucket") the range of values, which means dividing the entire range of values into a series of intervals and then counting how many values fall into each interval. Bins are typically specified as non-overlapping, consecutive intervals of a variable. The bins (intervals) must be adjacent and are frequently (but not always) of equal size.So, in the given situation the distribution consists of two clusters and a gap, which best describes the distribution.
Therefore, (A) the distribution consists of two clusters and a gap, which best describes the distribution.
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The complete question is given below:
The diameter, in centimeters (cm), of each tree in a random sample of trees in a forest was measured. The histogram shown summarizes the diameters.
Which of the following is the best description of the distribution?
A. The distribution consists of two clusters and a gap.
B. The distribution is approximately normal.
C. The distribution is symmetric with a skew to the right.
D. The distribution is skewed to the left.
E. The distribution is uniform.
Please help me with this sheet asap!!!!b
Step-by-step explanation:
1)
SA= 2 (Length x Breadth + breadth x height + Length x height)
SA= 2(2*5+5*6+6*2)=2(10+30+12)=104cm^2
2)
2(3*4+4*5+5*3)= 2(12+20+15)=94cm^2
3)
2(7*9+9*12+12*7)=2(63+108+84)= 510cm^2
4)
SA=
\(A=2πrh+2π {r}^{2}
\(A=2πrh+2π {r}^{2} \)
= 2π 6*5+2π6*6= 188.495+226.194
SA= 414.689 cm^2
5)
2π7*4+2π*4*4=
SA=276.46 cm^2
6)
2π6*4+2π*4*4=
SA= 251.33 cm^2
7)
(3*4)/2=6
(3*4)/2=6
(3*8)=24
4*8=32
8*5=40
SA =6+6+24+32+40=108 cm^2
8)
(6*8)/2=24
(6*8)/2=24
6*12=72
8*12=96
10*12=120
SA= 24+24+72+96+120= 336 cm^2
9)
(5*12)/2=30
(5*12)/2=30
5*8=40
12*8=96
13*8=104
SA= 30+30+40+96+104= 300 cm^2
If 9: x= x4, then x=
Answer:
x = ±6
Step-by-step explanation:
9 : x = x : 4
9/x = x/4
Cross multiply.
x² = 9 × 4
x² = 36
x = ±√36
x = ±6
Find the sum of the first five terms using the geometric series formula for the sequence left curly bracket 1 half comma space minus 1 comma 2 comma negative 4 comma... right curly bracket
Answer:
\(\bold{\dfrac{11}{2 }}\)
Step-by-step explanation:
Given the geometric series:
\(\{\dfrac{1}2, -1, 2, -4, ..... \}\)
To find:
Sum of series upto 5 terms using the geometric series formula = ?
Solution:
Formula for sum of a n terms of a geometric series is given as:
\(S_n=\dfrac{a(1-r^n)}{1-r} \ \{r<1 \}\)
\(a\) is the first term of the geometric series
\(r\) is the common ratio between each term (2nd term divided by 1st term or 3rd term divided by 2nd term ..... ).
Here:
\(a = \dfrac{1}{2}\)
\(r = \dfrac{-1}{\dfrac{1}{2}} = -2\)
\(n=5\)
So, applying the formula for given values:
\(S_5=\dfrac{\dfrac{1}2(1-(-2)^5)}{1-(-2)} \\\Rightarrow S_5=\dfrac{1-(-32)}{2 \times 3} \\\Rightarrow S_5=\dfrac{1+32}{6} \\\Rightarrow S_5=\dfrac{33}{6} \\\Rightarrow \bold{S_5=\dfrac{11}{2}}\)
So, the answer is
\(\bold{\dfrac{11}{2 }}\)
Solve for x
2(4x - 3)-8=4+2x
Thanks!
Answer: 3
Step-by-step explanation:
first substitute 2 into 4, so its 2*4 = 8x
Second, substitute 2 into -3 so itś 2*-3= -6
So, so far we're at 8x-6-8+4+2x, we combine the integers (which is -6 & -8, and we get -14)
So far, we are now at 8x-14=4+2x.
Now we add 14, to cancel out -14.
Then, we add 14 to 4, making 18.
Then, we subtract -2 to cancel out 2x.
Then, we subtract 2x to 8x, Making 6x
Now, final step :)
We divide 6x=18
which is 18 divided by 6
which is 3 :)
You got this, you're doing great!
Factor 44+38. Write your answer in the form a(b+c) where a is the GCF of 44 and 38
44 + 38 can be written in the form a(b + c) as:
44 + 38 = 2(22 + 19) = 2(41)
To solve this problemWe may use the distributive property to factor 44 + 38 by first determining their greatest common factor (GCF), which is 2, and then writing the result as follows:
44 + 38 = 2(22) + 2(19)
By removing the second from the equation, we may further reduce it: 44 + 38 = 2(22 + 19).
Therefore, 44 + 38 can be written in the form a(b + c) as:
44 + 38 = 2(22 + 19) = 2(41)
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If Cyrus knows that △ABC∼△EDC and AB¯¯¯¯¯¯¯¯∥ED¯¯¯¯¯¯¯¯, how can he prove that line m passing through AB¯¯¯¯¯¯¯¯ has the same slope as line l passing through ED¯¯¯¯¯¯¯¯?
As AB and ED are parallel, they have the same slope. This means that since lines that are colllinear with parallel segments are parallel, lines l and m are parallel.
solve using unit rates. . David gets paid $36 for 4 hours of work. Kevin gets paid $55 for 6 hours of work. How much does each person get paid per hour and who gets paid more David: s Kevin: S Who gets more per hour?
Answer:David gets paid 9$ per Hr
Kevin also gets paid 9.20$
So Kevin gets paid more
Step-by-step explanation:
Hope this helps
I need this by tomorrow! please help me, I'm desperate. I dont understand it well.
a client has orders to receive 3,000 ml of iv fluid at a rate of 150 ml/hr. if the infusion starts at 0800, when would it be finished?
Step-by-step explanation:
3000 ml / 150 ml/hr = 20 hrs from 0800 would be 0400 the NEXT day.
This quote came from _________. "He brought the cup to his lips and drank off the poison"
Answer:
Socrates
Step-by-step explanation:
select all that apply. in a population of 250 students, 60% are whites, 20% are latinos, 15% are blacks, and 5% others. in a proportionate stratified random sample of 120, group of answer choices the number of whites selected is 72. the number of blacks selected is 50. the number of latinos selected is 37. the number of other racial and ethnicity background selected is 6.
In proportionate stratified random sample of 120, 72 are Whites, 24 are latinos, 18 are blacks, and 6 are others.
From the question, we have
In a population of 250 students, 60% are whites, 20% are latinos, 15% are blacks, and 5% others.
sample = 120
Number of whites = 60% of 120
= 0.6 × 120
=72
Number of latinos = 20% of 120
= 0.2 × 120
=24
Number of blacks = 15 % of 120
= 0.15 × 120
= 18
Number of others = 5% of 120
= 0.05 × 120
= 6
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. We frequently do one of the fundamental mathematical procedures. Using multiplication tables is the most obvious application. To represent the repetitive addition of one number to another, mathematicians multiply two numbers. Natural numbers, fractions, integers, whole numbers, and other types of numbers can be included. When M is multiplied by n, M is either added to itself 'n' times or subtracted from itself.
Complete question:
select all that apply. In a population of 250 students, 60% are Whites, 20% are Latinos, 15% are Blacks, and 5% others. In a proportionate stratified random sample of 120, ______.
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To get the right color to paint the house, Wendy must
mix 1 gallon of green paint with 3 gallons of white paint.
Wendy is told ahead of time that she will need to
purchase about 12 gallons of paint in order to cover the
entire house.
Write equivalent ratios to determine the amount of
green and white paint she will need to purchase.
Answer: she needs 6 green and 2 white:)
Step-by-step explanation:
5p2 =20 encuentra el valor de p2
Hola!!
5p² = 20
p² = 20/5
p² = 4
p = √4
p = 2.
El valor de p² es 4 & p es 2.
------------
¡Espero que te ayude!
RainbowSalt2222 ☔
consider the equation 3.45 log (y) = 2.33 + 87.6 log(x). what is the elasticity?
To determine the elasticity, we need to differentiate both sides of the equation with respect to x and then multiply by (x/y):
Differentiating the equation with respect to x:
3.45 * d/dx(log(y)) = 87.6 * d/dx(log(x))
Using the property of logarithmic differentiation, we have:
3.45 * (1/y) * dy/dx = 87.6 * (1/x) * dx/dx
Simplifying and rearranging the equation:
(1/y) * dy/dx = (87.6/3.45) * (1/x)
(1/y) * dy/dx = 25.43/x
Multiplying both sides by (x/y):
dy/dx = (25.43/x) * (x/y)
dy/dx = 25.43/y
The elasticity is given by the ratio of the derivative of y with respect to x to the ratio of y to x. In this case, the elasticity is:
Elasticity = dy/dx * (x/y)
Substituting the value we obtained for dy/dx:
Elasticity = (25.43/y) * (x/y)
Elasticity = 25.43 * (x/y^2)
Therefore, the elasticity is given by 25.43 times the ratio of x to y squared.
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You need a thrust block for the riser for a
fire hydrant. The pyramidal form is 1 foot
high and 18 inches by 16 inches at the
base. How many cubic inches of concrete
will you need?
The number of cubical required are \(3456/n\) here n is the area where it is kept.
To find the the number of blocks required, first you are suppose to know the volume of each brick and the area of the place where it is suppose to be kept. The area is not mentioned in this question because it is incomplete.
So, to proceed with it the volume of this block is L×B×H.
Given; length = 18 inches
breadth= 16 inches
and height = 1 foot = 12 inches
Thus Volume of cubical is 18× 16× 12= 3456 inches.
The number of bricks required is \(3456/n\) here n represents the area of the place where it is supposed to be kept.
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Graph the equation y = -²- 10x - 16 on the accompanying set of axes. You
==
must plot 5 points including the roots and the vertex.
Click to plot points. Click points to delete them.
-10 9 8 7 6 5 4 3
-2
10
4
y
9
-
-4
-10
3
4
56 7
8
9
10
Answer:
I'm unable to plot graph, but I can give you the steps to graph the equation y = -²- 10x - 16 on the given set of axes.
Plot the vertex of the parabola: The vertex of the parabola is the point where the parabola changes direction. To find the vertex, you can use the formula (-b/2a, f(-b/2a)), where a, b, and c are the coefficients of the equation y = ax² + bx + c. In this case, a = -1, b = -10, and c = -16, so the vertex is (-10/2(-1), -(-10/2(-1))² - 10(-10/2(-1)) - 16) = (5,16).
Plot the roots: The roots of the equation are the values of x that make y = 0. To find the roots, you can set y = 0 and solve for x. In this case, y = 0 = -x² - 10x - 16. This equation can be solved by factoring or by using the quadratic formula. The roots are x = 4 and x = -2.
Plot five points on the parabola, including the vertex and the roots. To do this, you can substitute different values of x into the equation y = -x² - 10x - 16 and find the corresponding y-values. For example, you could plot the point (4,0), which is one of the roots, and (5,16), which is the vertex.
Connect the points to form a parabola.
Keep
Step-by-step explanation:
Simplify the expression:
7(–3 + r) =
what is the second equation for this??
Step-by-step explanation:
She spent nine dollars in the second equation, so it would be one adult ticket and two children's tickets, or 1x + 2y= 38
What is the solution to this inequality?
7x+9≥65
Please help me , I don’t know how to do it , please tell me the process of how did you get the answer please :(
The percent of data is given as follows:
a) Between z = 0.53 and z = 2.67: 29.2%.
b) To the right of z = 1.61: 5.37%.
The z-scores are given as follows:
a) 35% of the data is to the left: z = -0.385.
b) 18% of the data is to the right: z = 0.915.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.Hence the percentages are given as follows:
a) Between z = 0.53 and z = 2.67 -> p-value of z = 2.67 subtracted by the p-value of z = 0.53: 0.9939 - 0.7019 = 0.292 = 29.2%.
b) To the right of z = 1.61: -> one subtracted by the p-value of z = 1.61 -> 1 - 0.9463 = 0.0537 = 5.37%.
The z-scores are given as follows:
a) 35% of the data is to the left -> p-value of z = 0.35 -> z = -0.385.
b) 18% of the data is to the right -> z = 0.915.
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