Answers
Answer:
15 + 23 = 38
38 x 9 = 342
342 x 1/2 (basically just dividing by 2) 171
Step-by-step explanation:
Formula of a trapezoid:
B1(base 1) + B2(base 2) x H(height) x 1/2(basically just dividing by 2)
In this case,
12 and 23 are your bases, 9 is your height.
Related Questions
Which expression has a value of 12?
F. 4 x 12 = 3 - (18 – 9) X
G. 18+ (9 X 4+ 12) = 3
H. 9• 3 x 12 - 18 - 1
J. 9 + (18 x 4 = 12) - 3
Answers
Answer:
H i think hope it helps you
thank you
A car travel the distance of D equals 450 km for T equals 4.4 hours at a constant rate. What is the speed of the car in kilometers per hour
Answers
Answer:
102.3 kilometers per hour
Step-by-step explanation:
A car travel the distance of D equals 450 km for T equals 4.4 hours at a constant rate. What is the speed of the car in kilometers per hour
The formula to calculate Speed = Distance (Kilometers)/ Time(hours)
The speed of the car = 450km/4.4 hours
102.27272727 kilometers per hour
Approximately = 102.3 kilometers per hour
What is the volume of plastic used to construct the rocket if it is a solid? Round your answer to the nearest cubic inch
Answers
Answer:
151 in^3
Step-by-step explanation:
please find the image required to answer this question in the attached image
The rocket consists of two shapes - a cone and a cylinder
the volume of the plastic = volume of cone + volume of cylinder
volume of a cylinder = nr^2h
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
Radius = 5/2 = 2.5
Height of cone = 11 - 6 = 5
Volume of plastic = (22/7) x (2/5^2) x 6 + (1/3) x (22/7) x (2/5^2) x 5 = 117.9 + 32.7 = 150.6 in^3 = 151
The cost of 5.5 pounds of apples is 40.81. What is the constant of proportionally that relate the cost in dollars, y, to the number of pounds of apples, x.
Answers
Answer:
7.42
Step-by-step explanation:
y = (40.81/5.5)x
y = 7.42x
A survey of 6000 adults found that 58% say that they would take a ride in a fully
self-driving car. A normal distribution may be used to model the sample proportion.
At 95% confidence, the margin of error for this estimate was 2. 4%. Find the 95%
confidence interval of the true proportion who said that they would take a ride in a
self-driving car.
Source: World Economic Forum and Boston Consulting Group
Answers
As per the conditions given by the question, the 95% confidence interval of the true proportion who said that they would take a ride in a self-driving car is (53.3856%, 62.6144%).
Now, According to the question:
What is confidence interval?
A confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.
To find the 95% confidence interval of the true proportion, we need to use the following formula:
point estimate +/- (margin of error * z-score)
The point estimate in this case is the sample proportion, which is 58%. The margin of error is 2.4%, and the z-score for a 95% confidence interval is 1.96.
Plugging these values into the formula, we get:
58% +/- (2.4% * 1.96)
This simplifies to:
58% +/- 4.6144%
So the 95% confidence interval is:
(53.3856%, 62.6144%)
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20 POINTS!!! HELP ASAP!! What are the domain and range of the function graphed below?
Answers
its y ≤ 2 , because when a circle is shaded, it means it is less than or equal to :)
When x²+(1/x)=3 find x⁴-2x³-x²-2x+1=
(without using calculator)
Answers
so for given expression x⁴-2x³-x²-2x+1 = (x-1)² - (2x+1)
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define Algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
we can start by squaring the equation x²+(1/x)=3
so we have x⁴ + 2x² + (1/x)² = 9
x⁴ + 2x² + 1 = 9x²
x⁴ - 7x² + 1 = 0
Now we can factor it
(x²-1)(x²-1) = 0
so x² = 1
now we can substitute x² = 1 in the equation x⁴-2x³-x²-2x+1
x⁴-2x³-x²-2x+1 = x⁴-2x³-1-2x+1
= x⁴-2x³-2x-1
= (x⁴-2x³) - (2x+1)
= x⁴-2x³-2x-1
= (x²-x)² - (2x+1)
= (x-1)² - (2x+1)
so x⁴-2x³-x²-2x+1 = (x-1)² - (2x+1)
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Construction A construction company is building a new parking garage and is
charging the following rates: $5000 a month for the first 2 months; $8000 a month
for the next 4 months; $6000 in total for the last 4 months, when the garage will be
completed. This amount will be paid in a lump sum at the end of the 6th month.
Express the cost C (in thousands of dollars) as a function of
the time t (in months) that the construction company works
on the parking garage.
Answers
Answer:
C(t) = 5t for 0 < t ≤ 3
C(t) = (8t-9) for 3 < t ≤ 6
C(t) = 44 for 6 < t ≤ 10
C is given in thousands of dollars and t is given in months.
Total lump sum to be paid at the end of the 6 months for the total 10 months that the construction company works on the parking garage = $44000
Step-by-step explanation:
We will do a piecewise analysis for this cost function.
How to obtain the total cost changes with each time interval.
In the first 3 months,
C(t) = 5t for 0 < t ≤ 3
Note that C is given in thousands of dollars
In the next 3 months,
C(t) = (8t-9) for 3 < t ≤ 6
- Here, it gets a little complex, we use the upper limit of the previous interval and the lower limit of this new interval to get the constant to be subtracted from the normal 8t that characterizes this interval.
8(3) = 24
5(3) = 15
constant = 24 - 15 = 9
In the last 4 months,
C(t) = 44 for 6 < t ≤ 10
- For the last four months, it is a single sum of $5000 plus the [8(6) - 9] from the previous inteval
C = [8(6) - 9] + 5 = 39 + 5 = 44
So, the cost of parking, tracked month after month gives
T | Cost (in thousands of dollars)
1 | 5
2 | 10
3 | 15
4 | 23
5 | 31
6 | 39
7 | 44
8 | 44
9 | 44
10 | 44
Total lump sum to be paid at the end of the 6 months for the total 10 months that the construction company works on the parking garage = $44000
Hope this Helps!!!
This is not my answer yet is a stollen verrified one.
which Of the following is the value of 7-15:3-2?
Answers
Answer:
-8:1
Step-by-step explanation:
How to solve the function operation :D
Simplify 7-15= -8
Then simplify 3-2= 1
Total= -8:1
Which is a correct expansion of (4x + 1)(2x7 - 2)?
Answers
Answer:
So the correct expansion of (4x + 1)(2x7 - 2) is 8x^27 - 8x2 + 2x7 - 2
Step-by-step explanation:
When expanding an algebraic expression like (4x + 1)(2x7 - 2), you can use the distributive property to find the product of each term in the first set of parentheses with each term in the second set of parentheses, and then add them together. The distributive property is the process of multiplying one term in the parentheses by each of the terms outside the parentheses.
Here is the correct expansion of (4x + 1)(2x7 - 2):
(4x + 1)(2x7 - 2) = 4x(2x7) + 4x(-2) + 1(2x7) + 1(-2)
= 8x^27 + -8x2 + 2x71 + -21
= 8x^27 + -8x2 + 2x7 + -2
= 8x^27 - 8x2 + 2x7 - 2
So the correct expansion of (4x + 1)(2x7 - 2) is 8x^27 - 8x2 + 2x7 - 2
It's important to note that you can also use FOIL method which is the acronym for the steps of the distributive property, First, Outside, Inside, Last.
help help help miiiiiiiiiiiio plzzzzzzzz
Answers
Answer:
[tex]\begin{bmatrix}-1 & 2 \\ \frac{3}{2} & -\frac{5}{2} \end{bmatrix}[/tex]
Step-by-step explanation:
Inverse of a matrix is given by,
[tex]\begin{bmatrix}a & b\\ c & d\end{bmatrix}=\frac{1}{ad-bc}\begin{bmatrix}d & -b\\ -c & a\end{bmatrix}[/tex]
By using this property,
[tex]\begin{bmatrix}5 & 4\\ 3 & 2\end{bmatrix}^{-1}=\frac{1}{(5\times 2-4\times 3)}\begin{bmatrix}2 & -4\\ -3 & 5\end{bmatrix}[/tex]
[tex]=-\frac{1}{2}\begin{bmatrix}2 & -4\\ -3 & 5\end{bmatrix}[/tex]
[tex]=\begin{bmatrix}-1 & 2 \\ \frac{3}{2} & -\frac{5}{2} \end{bmatrix}[/tex]
Therefore, inverse of the given matrix will be [tex]\begin{bmatrix}-1 & 2 \\ \frac{3}{2} & -\frac{5}{2} \end{bmatrix}[/tex]
In 2010, the population of a city was 237,000. From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
Answers
The population of the city grew from 2010 to 2020 by 13.37%.
What is percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
We have to given that;
In 2010, the population of a city was 237,000.
And, From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%.
We know that;
Where, A = P (1+r)ⁿ
A = final population.
P = Initial population.
r = rate
n = time
Hence, The population in 2015 is, =
A = 237,000(1 + 0.076)⁵
A = 341829.629
And, The population in 2020 =
A = P (1 - r)ⁿ
A = 341829.629 (1 - 0.047)⁵
A = 268704.047
So, Percent grow = (268704.047 - 237,000) / 237,000 × 100
= 31704.047 / 237,000 × 100
= 13.37 %
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What does log () do in mathematics?
Answers
Log () helps to determine the single number to be multiplied.
Log stands for logarithm in algebra. The inverses of equations using exponents are called logarithms. Logs can be used to determine how many times one number needs to be multiplied to get another in its most basic form. For instance, to get 100 in the base-10 system, 10 must be multiplied by 10. In a base-10 system, the logarithm of 100 is therefore 2.
Log () expresses the power or exponent that a base number must be raised to or multiplied by in order to create another number in an ideal world. In situations where the user has data values that are significantly greater or lower than the other values, log scales are quite helpful. When displaying major percentage variations between data points, the user can also utilize a log scale.
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Solve the following equation by first writing the equation in the form a x squared = c: 3 a squared minus 21 = 27 a. a = 4 b. a = plus-or-minus 4 c. a = plus-or-minus 16 d. a = 16 Please select the best answer from the choices provided A B C D
Answers
The best answer from the choices provided is a = plus-or-minus 16 . Option C
What is a quadratic equation?A quadratic equation can be defined as an equation that can be rearranged in a standard form
Such that;
x represents an unknown value or variableThe variables, a, b, and c represent known numbersThe variable, a ≠ 0These quadratic equation are also described as polynomial equation having its highest degree as 2.
From the information given, we have that;
3a² - 21 = 27
collect like terms
3a² = 27 + 21
Add the values
3a² = 48
Divide both sides by 3
a² = 48/3
a² = 16
Hence, the value is a² = 16
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What is the distance apart (-6, -4.7) and (-6, 4.1)
Answers
Answer:
8.8
Step-by-step explanation:
Normally, to find the distance between two points, you would use the distance formula, but these two points have the same x-coordinate, meaning they will form a vertical line when connected. To find the length of a vertical line you find the distance between the y-coordinates, in this case -4.7 and 4.1. Finding the distance is the same as finding the absolute value of the difference:
|4.1 -(-4.7)|
|4.1 + 4.7|
|8.8|
8.8
Please help me on this
Answers
To find the measure of the angle you need your calculator. We are given two sides that go with the angle we need to find. These two sides are the opposite side, and the adjacent side.
Sohcahtoa
Because of the sides given we will be using tangent. Opposite/adjacent which is 36/32
When we insert that into the calculator we get 1.125, which isn’t the answer. Click second and then tan on your calculator and insert 1.125. The answer is the angle measure we need, which is 48.37 but 48.4 if we round it.
Answer:
16. C
17. A
Step-by-step explanation:
16 - sin38=x/200
17- tanx=(36)/(32)
4. Clare is paid $90 for 5 hours of work. At this rate, how many seconds does it take care to earn 25 cents?
5. A car that travels 20 miles in 1/2 hour at consent speed travels at the same rate as a car that travels 30 miles in 3/4 hour at a constant speed.
6. Lin makes her favorite juice blend by mixing cranberry juice with apple juice in the ratio shown on the double number line. complete the diagram to show smaller and larger batches that would taste the same as lin's favorite blend.
Answers
And If you see this please help me answer this question!
Tamika is ordering a taxi from an online taxi service. The taxi charges $3. 50 just for the pickup and then an additional $0. 75 per mile driven. How much would a taxi ride cost if Tamika is riding for 5 miles? How much would a taxi ride cost that is m miles long?
Cost for 5 miles:
Cost for m miles:
Answers
If the pickup charge for taxi is $3.50 and additional charge of $0.75 per mile , then the cost for riding 5 miles is $7.25 and cost for riding m miles is $[tex]3.50+0.75m[/tex] .
The pickup charge that taxi service charges is = $3.50 ;
the additional charge for per miles driven is = $0.75 ;
we have to find the cost for riding 5 miles ;
So , the total cost for riding 5 miles is = [tex]Pickup Charge + (Additional Charge)\times(Number Of Miles Driven)[/tex] ;
substituting the values , the total cost equation becomes ;
[tex]Total Cost = 3.50 + 0.75\times5[/tex]
= [tex]3.50+3.75[/tex]
= 7.25
So , the cost for 5 miles is = $7.25 ;
to find cost for driving "m" miles ,we substitute the number of miles = m;
[tex]Total Cost = 3.50+0.75\times m[/tex]
= [tex]3.50+0.75m[/tex]
Therefore , the cost for riding m miles is $ [tex]3.50+0.75m[/tex] .
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Which ordered pair is the solution to the following system? y = x - 2 and 4x + y = 23
Answers
Answer:
x=5, y=3
Step-by-step explanation:
y=x−2;4x+y=23
Step: Solve y=x−2 for y:
Step: Substitute x−2 for y in 4x+y=23:
4x+y=23
4x+x−2=23
5x−2=23(Simplify both sides of the equation)
5x−2+2=23+2(Add 2 to both sides)
5x=25
5x/5 = 25/5(Divide both sides by 5)
x=5
Step: Substitute 5 for x in y=x−2:
y=x−2
y=5−2
y=3(Simplify both sides of the equation)
Please answer! Whoever does is a lifesaver and I wish they have a blessed day
Answers
Answer:
C = 31
Step-by-step explanation:
always do the parenthesis first so (2+4) = 6
3² + 4(6) x 6 ÷ 8 + 4 (Use PEMDAS)
9 + 4(6) x 6 ÷ 8 + 4, multiply 4 and 6
9 + 24 x 6 ÷ 8 + 4, multiply 24 and 6
9 + 144 ÷ 8 + 4, divide 144 and 8
9 + 18 + 4, now just add
31.
Answer:
c) 31
Step-by-step explanation:
9 + 4(6) * 6 / 8 + 4
9 + 24 * 6 /8 + 4
9 + 144 / 8 + 4
9 + 18 + 4
= 31
The sum of two numbers is 50. the greater number is four less than five times the lesser number. Find the numbers
Answers
Y=lesser number
x+y=50
x=5y-4
5y-4+y=50
+4 +4
5y+y=54
V
6y=54
/6 /6
y=9
X=5(9)-4
X=45-4
X=41
41+9=50 ✔️
Greater number=41
Lesser number=9
The required two numbers are 9 and 41.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
Let x be the lesser number, and y be the greater number.
From the question, we know that:
x + y = 50 (Equation 1: The sum of the two numbers is 50)
y = 5x - 4 (Equation 2: The greater number is four less than five times the lesser number.)
The equation is to solve for one of the variables, and then substitute that value into the other equation to find the other variable.
Then, two numbers are x = 9 and y = 41.
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SU is a midsegment of QRT
If QR=-5v+96 and SU = 19v-38 than what is the value of X
Answers
Answer:
v = 4
Step-by-step explanation:
⭐What is the midsegment of a triangle?
a segment that runs from the midpoints of two opposite sides⭐What are some properties of the midsegment?
the midsegment is 1/2 of the length of the baseThus, we have to make an equation using the properties of the midsegment to solve for v.
Working:
[tex]SU = \frac{1}{2}(QR)[/tex]
[tex]19v - 38 = \frac{1}{2}(-5v + 96)[/tex]
[tex]38v - 76 = -5v + 96[/tex] . . . . . multiply both sides by 2 to get rid of the fraction
[tex]43v = 172[/tex] . . . . . add 5v and 76 to both sides
∴ [tex]v = 4[/tex] . . . . . . . . . divide both sides by 43 to isolate v
IF THIS RESPONSE HELPED YOU, PLEASE MARK IT THE "BRAINLIEST" :-)
Can someone plz help me asap, thank you?!
Answers
A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman. sophomore. junior, and senior classes to complete the survey. This plan is an example of which type of sampling ? a. Cluster
b. Convenience c. Simple random d. Stratified random e. Systematic
Answers
A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman. sophomore. junior, and senior classes to complete the survey. This plan is an example of Stratified random type of sampling .
What does "stratified random sampling" mean?
A population is divided into smaller subgroups known as strata as part of a sampling technique called stratified random sampling.
During stratified random sampling, also known as stratification, groups of people are divided into groups based on shared traits or characteristics, such as level of education or income.
What is a good illustration of a stratified sampling technique?
A stratified sample is one that guarantees that the various strata (subgroups) of a given population are fairly represented in the sample population as a whole.
One could, for instance, divide a sample of persons into age-related subgroups, such as 18–29, 30-39, 40–49, 50–59, and 60 and above.
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Please help me find x and y. May you also tell me the steps in which to do so.
Answers
Answer:
x=
y=31
Step-by-step explanation:
hope this helps
Gillian feeds the goats the same amount of hay each day. On May 3, she has 72 pounds of hay left. On May 5, she has 60 pounds of hay left.
Based on the information and the graph provided, how many ponds of hay does Gillian most likely have left on the day that she has most likely 3 pounds of grain left? Provide evidence to support your answer. Include algebraic representations for each situation as part of your support
Answers
Answer:h
Step-by-step explanation:
Answer:56
Step-by-step explanation:
Let ttt be the initial number of trees.
Hint #22 / 5
MacDonald now has t-5t−5t, minus, 5 trees and each one produced 210210210 oranges this harvest.
The total number of oranges produced is 210(t-5)210(t−5)210, left parenthesis, t, minus, 5, right parenthesis.
Hint #33 / 5
Since the trees produced a total of 417904179041790 oranges, let's set this equal to 417904179041790:
\qquad210(t-5)=41{,}790210(t−5)=41,790210, left parenthesis, t, minus, 5, right parenthesis, equals, 41, comma, 790
Now, let's solve the equation to find the initial number of trees (t)(t)left parenthesis, t, right parenthesis.
Hint #44 / 5
\begin{aligned}210(t-5)&=41790\\&\\ \dfrac{210(t-5)}{\blue{210}}&=\dfrac{41790}{\blue{210}}&&\text{divide both sides by $\blue{210}$}\\ \\ t-5&=199\\ \\ t-{5}\pink{+5}&=199\pink{+5}&&\pink{\text{add }} \pink{5} \text{ to both sides}\\ \\ t&=204\end{aligned}
210(t−5)
210
210(t−5)
t−5
t−5+5
t
=41790
=
210
41790
=199
=199+5
=204
divide both sides by 210
add 5 to both sides
Hint #55 / 5
The equation is 210(t-5)=41790.210(t−5)=41790.210, left parenthesis, t, minus, 5, right parenthesis, equals, 41790, point
MacDonald's farm initially had 204204204 orange trees.
Related content
Will give brainliest if right
O D. The fewest students prefer sliver Model 66 calculators.
Answers
Answer:
B
Step-by-step explanation:
Other two are not true! A is untrue bc .90 pefer silver calculators. C- .25 want model 55, and .32 for Model 77
The height, h in feet, of a tennis ball that a player hit upward can be modeled by the equation h = 80t – 16t² , where t is time in seconds.
a) What is the maximum height of the ball?
b) How long does it take to reach the maximum height?
c) How long does it take for the ball to land?
Answers
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
Given points V(10;2) and N (-7;9).
Determine the coordinates of vectors VN and NV
VN =( ; )
NV = ( ; )
Answers
VN=(10,-7)
NV=(9,2)
Explanation : Each point p in the plane is identified with its x and y components: p=(p1,p2). To determine the coordinates of a vector a in the plane, the first step is to translate the vector so that its tail is at the origin of the coordinate system. Then, the head of the vector will be at some point (a1,a2) in the plane.
Triangle ABC has coordinates A(3,2), B(1,6), C(5,5). The triangles is rotated 180 degrees clockwise and then translated 5 units up. What are the coordinates of C''(after both transformations have occurred)?
A. (-10, -5)
B. (-5, 0)
C. (0, -5)
Answers
Answer: First, let's consider the rotation of 180 degrees clockwise. This can be thought of as a reflection over the x-axis, followed by a reflection over the y-axis.
The reflection over the x-axis will negate the y-coordinate, while the reflection over the y-axis will negate the x-coordinate. So after the rotation, the coordinates of point C will become (-5,-5)
Next, we'll consider the translation 5 units up. Translating a point up means that we'll add 5 to its y-coordinate. So the coordinates of point C'' will become (-5,-5) + (0, 5) = (-5, 0)
So the coordinates of C'' are (-5,0)
Therefore the answer is B.
Step-by-step explanation: