In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term
Answer:
Common difference is 3. And the first term is 64.
Step-by-step explanation:
The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between. And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64
What is the angle and the answer pls this is a quiz grade
Answer:
b is equal to 132
because of the transversal rule, b and 132 are corresponding angles, which means that they are equal to the same measure
hope this helps :)))
ur lucky at least ur math teacher gives you fun assignments to do to solve a murder mystery
my teacher has us doing 4 page review guides for finals
what dose (-1/4) * (1/3)=
Answer:
7/12
Step-by-step explanation:
Which quadratic equation has roots of 5 and 7
Answer:
D
Step-by-step explanation:
Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the corresponding factors are
(x - 5) , (x - 7)
The equation is then the product of the factors, that is
y = (x - 5)(x - 7) ← expand using FOIL
= x² - 7x - 5x + 35 ← collect like terms
y = x² - 12x + 35 → D
The quadratic equation has roots of 5 and 7 so, the quadratic equation would be equal to [tex]y = x^{2} - 12x + 35[/tex].
How to find the roots of a quadratic equation?Suppose that the given quadratic equation is
ax^2 + bx + c = 0
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
It is Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the other factors are
(x - 5) , (x - 7)
The equation is then the product of the factors,
[tex]y = (x - 5)(x - 7)\\y = x^{2} - 7x - 5x + 35 \\y = x^{2} - 12x + 35[/tex]
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When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y (in grams) of carbon-14 in the body of an
organism after t years is y = a(0.5)
t/5730
where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round
your answer to the nearest hundredth.
his
about
%
Answer:
0.01 %
Step-by-step explanation:
The given model is;
y = a (0.5)^t/5730
Which is;
y = a(2^-1(t/5730)
Then;
y = a (2^-1/5730)^t
y = a(0.999879)^t
Hence;
Given that the general model is;
y(x)= a(1-r)^x
Where r is the rate percent
Since 1-r =0.999879
r = 0.00012096
y = a(1 - 0.00012096)^t
So;
r= 0.00012096* 100 = 0.01 %
what is the median of 77, 84, 85, 88, and 99?
Answer:
86.6
Step-by-step explanation:
77+84+85+88+99=433
433/5=86.6
Answer:
2.5 OR 2 1/2
Step-by-step explanation:
77, 84, 85, 88, 99
5 numbers
5/2= 2.5
1. Find the value of x. The diagram is not to scale.
Answer:
64
Step-by-step explanation:
As the angle in the bottom is shared and the 2 sides are proportional, one is 40 and 80 (times 2) and the other, 25 and 50 (times 2) so the triangles are similar so all we do is multiply 32 by 2 as its the rule. So the answer is 64.
classify this relation as direct, inverse, or neither. if possible, find the constant.
Answer:
inverse, 50
Step-by-step explanation:
By looking at this, we can realize that it cannot be direct, because the y value does not increase when the x value does. Furthermore, we can realize that when the x and y values are multiplied, they all equal 50. This is a property of inverse variation. This means the relation is inverse. Lastly, the constant is 50 because that is the common product.
PLEASE HELP NEED THE ANSWER
-20
-15
-25
-18
PLEASE I GIVE BRAINLIRST PLEASE HELP I NEED TO OASS THIS
Evan wants to add a flower box at the edge of the garden. He decides to paint the box. The flower box is open on
The box is 16 inches long. 6 inches wide, and 8 inches the top and does not need to be paintes. What is the
high
minimum amount of paint he will need?
Evan will need enough paint to cover
What is the maximum amount of soil he will need to fill
Bin
the box
The maximum amount of soillis
Answer:
Evan needs enough paint to cover 448in^2
He needs enough soil to fill 768in^3
Step-by-step explanation:
Which name best describes the polygon with vertices (0,0), (4,8), (12,8) and (16,0)?
A. Trapezoid
B. Square
C. Triangle
D. Pentagon
The name of the polygon with the vertices at (0,0), (4,8), (12,8) and (16,0) is a Trapezoid. Option A
How does a Trapezoid look like?A trapezoid is a four-sided flat polygon.
It has two parallel sides that has different lengths. The other two sides are non-parallel and also does have lengths.
A trapezoid has four angles, two of which are acute and two of which are obtuse.
A trapezoid's parallel sides are calld bases, while its non-parallel sides are called legs.
The height of a trapezoid is the perpendicular distance between its two bases. Trapezoids appear in a variety of sizes and forms, but its distinguishing feature is the presence of two parallel sides.
| o o
|
|
|
|
|
|
|o___________________________o_
If you connect the "o" which represents the coordinates, you will draw a Trapezod.
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WHO HERE'S GOOD AT MATH AND CAN HELP ME???
Answer:
100,000-110,000 pounds
Step-by-step explanation:
one ton equal to 2000 pounds
50x2000=100000
55x2000=110000
100,000-110,000 pounds
If this helps please mark as brainliest
Answer:
100,000-110,000
Step-by-step explanation:
2000x50= 100,000
2000x55= 110,000
26) In triangle ABC, if AB-BC and B
= 70°, ZA will be: *
O a. 70°
O b. 110°
O c. 55°
O d. 130°
Answer:
55degrees
Step-by-step explanation:
Let the other angles of the triangle are x, x degrees. Since the sum of angles in a triangle is 180degrees, hence;
<A + <B+ <C = 180
x + 70 + x = 180
2x+70 = 180
2x = 180 - 70
2x = 110
x = 110/2
x = 55
SInce <A is equal to x, hence <A is 55degrees
Solve the factorial.
The factorial \(4!\) is equal to
Answer:
4! = 24
Step-by-step explanation:
[tex]4! = 4 * 3 * 2 * 1 \\\\4! = 12 * 2 * 1\\\\4!= 24 * 1\\\\\boxed{4!=24}[/tex]
Hope this helps.
Answer:
24
Step-by-step explanation:
I just did the same lesson and got it right
Please help. What is the answer?
Answer:
ASA
Step-by-step explanation:
The longest side is the same (denoted by the small line).
Assuming the red dot and the x mean the angles are the same, the triangles share two common angles.
As such, the triangles share one common side and two common angles. Hence ASA
How do I find the indicated value for this problem?
Answer: just want points tbh
Step-by-step explanation:
For some reason it didnt let me upload as text so here you go.
A skateboard was originally priced at $53.00. It is on sale for 15% off. What is the sale price of the skateboard?
Answer:
STEP BYy-step explanation:
I need help with this to! When i get the answer ill let ya know
We have given that skateboard was originally priced at $53.00.
It is on sale for 15% off.
We have to determine the sale price of the skateboard.
The discount is 15%.
So we have to find 15% of $53.
What is the method to converting the percentage into desimal ?
Divide the percentage by 100 so we will get the the desimal form of percentage.
convert 15% into desimal
[tex]\frac{15}{100}=0.15[/tex]
Multiply 0.15 by original price,
[tex]0.15\times 53=7.95[/tex]
The original price discounted by this amount
Therfore he save $7.95
Sale price=53$-7.95=45.05
Therefore we get the salling price is $45.05.
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If ∠2 is 70˚, what is the measure of ∠4?
Answer:
Step-by-step explanation:
If the measure of angle A is 70 degrees, then what is the measure of the supplement of the complement of angle A? 12
The measure of ∠4 is 20° when ∠2 is 70˚
What is Angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
An angle is the figure formed by two rays,
The given angle ∠2 = 70°
Complementary angles : A Pair of angles whose sum is 90°
So, Let the complement of ∠A be x
So, ∠2+∠4 = 90°
70°+∠4 = 90°
∠4= 20°
Hence, the measure of ∠4 is 20°
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Gerard paid $10 for one dozen pomegranates costing 75¢ each.
How much should he get back in change?
In this table, Davis recorded how far he could throw balls of different weights.
He modeled the data with a linear best-fit function. He can throw a certain ball 30 feet. Approximately how many pounds would this ball weigh?
a. 7.5 pounds
b. 8.1 pounds
c. 8.6 pounds
d. 9.1 pounds
Answer:
Option C
Step-by-step explanation:
By using linear best fit calculator for the given data,
Equation of the line of best fit will be,
y = -5.2514x + 74.94413
Here, x = Weight of the ball
y = Distance thrown by Davis
Now substitute y = 30 feet to calculate the weight (x) of the ball.
30 = -5.2514x + 74.94413
5.2514x = 74.94413 - 30
5.2514x = 44.94413
x = 8.5585
x ≈ 8.6 pounds
Therefore, David can throw a ball 30 feet weighing 8.6 pounds.
Option C will be the answer.
Find the height of the pyramid.
Volume = 198 yd
9 yd
11 yd
The height is yards.
Answer:
12 yards
Step-by-step explanation:
h = (3×198)/(½×11×9)
= 594/(49.5)
= 12 yds
How to get an area for this shape
Answer:
A = 135 cm²
Step-by-step explanation:
The figure is composed of 2 triangles.
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
The total area is the sum of the area of both triangles
A = [tex]\frac{1}{2}[/tex] × 18 × 7 + [tex]\frac{1}{2}[/tex] × 18 × 8
= 9 × 7 + 9 × 8
= 63 + 72
= 135 cm²
Find the value of x and round to the nearest tenth. *bots will be reported*
Simply by adding like terms: -7x^2*y*z + 3y*z^2 - z*x^2*y - 4y
9514 1404 393
Answer:
-8x^2·y·z +3y·z^2 -4y
Step-by-step explanation:
It can be helpful to make sure the variables in each term are in alphabetical order. This makes it easier to see "like" terms. The variables in each term are ...
x^2 y z
y z^2
x^2 y z
y
Only the first and third terms are like terms, so those are the only ones that can be combined. Their coefficients are -7 and -1, so sum to -8. The combined term is of highest degree, so in standard form we list that term first.
= -8x^2·y·z +3y·z^2 -4y
[tex]500 \times 96515 + 275[/tex]
Answer:
= 48257775
Step-by-step explanation:
500x96515+275
multiply first
48257500+275
lastly, add
=48257775
i hope this helps :)
A rock is dropped from a hot air balloon at a height of 100 meters. The rock's
height from the ground in meters, h(t), is modeled by the formula
h(t) = -4.9ť + 100, where t is the time in seconds.
What is the average rate of change in m/s of the height of the rock between 2 and
4 seconds?
A. -4.9
B. -9.8
c.-29.4
D. -58.8
Answer:
-29.4
i was told trust me ig?
The average rate of change in m/s of the height of the rock between 2 and 4 seconds is -4.9.
What is average?The average is defined as the mean value of the given data which is equal to the ratio of the sum of the data value to the total number of units present in the data.
Average = the sum of the data value / the total number of units
The rock's height from the ground in meters, h(t), is modeled by the formula h(t) = -4.9ť + 100,
where t is the time in seconds.
At t = 2 seconds
h(t) = -4.9ť + 100
h(t) = -4.9(2) + 100
= 90.2
At t = 4 seconds
h(t) = -4.9ť + 100
h(t) = -4.9(4) + 100
= 80.4
The average rate of change in m/s of the height of the rock is between 2 and 4 seconds
= 80.4 - 90.2 / 2
= - 4.9
Thus, the correct option is A.
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The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?
Answer:
P = 48
4 + 4(two given lengths) = 8
48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)
40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm
61, 21, 80, 46, 37, 70, 59, 65, 46, 39, 17, 87, 3, 10 Calculating the Mean, Median, Mode and Range of Data
Answer:
Mean: 45.8 (rounded to the tenth place)
Median: 46
Mode: 46
Range: 84
Step-by-step explanation:
What is the width of the rectangle?
30y
60y4
Answer:
2 y^3
Step-by-step explanation:
Area of rectangule is length * width
a heater is turned on in a cold room the scatterplot shows the relationship between the length of time since the heater was on in the temperature of the room the y-intercept of the estimated line of best fit is at (0, b). enter the approximate slope of the estimated line of best fit in the second response box
Answer:
A estimation of the slope is (1/2) °C/min
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
Then we just need to look at the graph and find two points that belong to the graphed line (not the points) and estimate the slope
We can see that the line passes near the points (14 min, 14°C) and (18 min, 16°C)
Then the slope is:
a = (16°C - 14°C)/(18 min - 14 min) = (2°C)/(4 min) = (1/2) °C/min
Answer:
what were the answers? IStep-by-step explanation: