Answer:
The distance between these two points is of 5 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this question:
Distance between (-7,-1) and (-4,3). So
[tex]D = \sqrt{(-4-(-7))^2+(3-(-1))^2} = \sqrt{3^2+4^2} = \sqrt{25} = 5[/tex]
The distance between these two points is of 5 units.
What is the median of the data set below? 40, 40, 52, 41, 62
Answer:
41
Step-by-step explanation:
Arranged it in order
Answer:
41 because you have to rearrange the numbers from least to greatest and the median is the middle number
40,40,41,52,62
41 is the median
PLEAAASSSSEEEEE HELP ME WITH THIS I REALLY NEED HELP PLEASE PUT THE CORRECT ANSWER
What are the solutions of 12 - x² = 0
Answer:
2sqrt(3),-2sqrt(3)
Step-by-step explanation:
12-x^2=0
-x^2=-12
x^2=12
x=-sqrt(12),sqrt(12)
x=2sqrt(3),-2sqrt(3)
The temperature at dawn is 6°C away from 0. Select all the temperatures that are possible
A:-12
B:-6
C:0
D:6
E:12
Answer:
B and D
Step-by-step explanation:
It can be 6 degrees greater, so 0 + 6 = 6, or it can be 6 degrees lower, so 0- 6 = -6.
Answer: Hope this helps <3
Step-by-step explanation: B,C,D
A model rocket is launched directly upward at a speed of 15 meters per second from a height of 10 meters. The function f(t)=−4.9t2+15t+10, models the relationship between the height of the rocket and the time after launch, t, in seconds. When, in seconds after launch, will the rocket reach its highest point? Round to two decimal places.
Answer:
Step-by-step explanation:
To find the highest point we use t = -b/2a (because that's the equation used to find the maximum of the function which is the maximum height the rocket reaches before heading back down ( aka highest point of the parabola at the turning point)
f(t) = -4.9t^2 +15 +10
A = -4.9
B = 15
C=10
Plug it in
-15/2(-4.9) = 1.53 seconds
(In case you get confused 15 turns negative because b in the equation has a - symbol in front. If you had -15 as B you would put -(-15) making it positive)
Hope this is helpful
1.53seconds after launch, will the rocket reach its highest point.
What is height?In mathematics, height is defined as the vertical distance from the top of an object to the bottom. Sometimes it is labeled as "height".
The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.
Height is a way of measuring someone or something from the bottom to the top or from the head to the feet. In other words, height indicates how tall someone or something is. We can compare how tall we will be when we grow up. We often compare the average height of men and women in different countries.
Given:
f(t)=−4.9t2+15t+10
The vertex is the highest point of the function
when t= [tex]\frac{-b}{2a}[/tex]
=[tex]\frac{-15}{2(-4.9)}[/tex]
≈ 1.53
f(t) is the maximum value
1.53seconds after launch, will the rocket reach its highest point.
To learn more about height, refer;
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Find the slope of the line from the table below
Answer:
m = -10
Step-by-step explanation:
m = y2 - y1 / x2 - x1
m = 60-50 / -2 - -1
m = 10/ -1
m = -10
Answer:
-10
Step-by-step explanation:
We can use two points from the table to find our slope.
Remember, the slope formula is [tex]\frac{y2-y1}{x2-x1}[/tex]. We can use the points (-1,50) and (-2,60). Let's substitute the values into the formula.
[tex]\frac{60-50}{-2-(-1)}[/tex]. This gets us to [tex]\frac{10}{-1}[/tex], so our slope is -10.
Hope this helps!
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
10
6
Can somebody please help me
Answer:
Area = 74.1 square units
Step-by-step explanation:
Area of the composite figure = Area of the rectangle + Area of the semicircle
Area o the rectangle = Length × Width
= 10 × 6
= 60 square units
Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
Here, r = radius of the semicircle
For the semicircle with radius = [tex]\frac{6}{2}[/tex] = 3 units
Area = [tex]\frac{1}{2}\pi (3)^{2}[/tex]
= 4.5π
= 14.14 units²
Total area of the composite figure = 60 + 14.14
= 74.14 square units ≈ 74.1 square units
I can't solve this problem
Answer:
13.9 mm
Step-by-step explanation:
To find the diagonal of the box, x, apply the following formula, d = √(l² + w² + h²)
Where,
d = x
l = 12 mm
w = 5 mm
h = 5 mm
Plug in the values
x = √(12² + 5² + 5²)
x = √194
x = 13.9 mm (nearest tenth)
What is the product of (x−4) and (x2−7x+10)?
x2−6x+6
x2−8x+14
x3−11x2+38x−40
x3−3x2−18x−40
2 4/10?
round to nearest whole number
Answer: 2
2.5 and up we round up
2.4 and lower we round down
Answer:
2
Step-by-step explanation:
2 4/10
4/10 is less than 0.5 so we round down to 2
A bank offers a savings account that accrues compound interest quarterly at a rate of 4%. What is the initial amount needed in this account so that after 8 the account has a total of 439?
Please help!!! I need the equation and the answer itself
Answer:
439(1+4/100x8=579.48
Find the center and the radius of the circle. (x-2)^2+(y+3)^2=70
Answer:
the center is (2,-3)
the radius is √70
HELP ASAP!!!
Why is it important to talk about the sad, terrible parts of history as well as the good parts?
Answer:
Although this is the math forum, I can still answer this
Step-by-step explanation:
Sad and terrible parts of history show our mistakes and the good parts show our improvements from them. It is important to include all the parts so that modern society can learn from them.
Two hundred forty and twenty-five hundredths in standard form
answer:
240.25
step-by-step explanation:
look at what it says about the number and then decidetwo hundred forty - - > 240
the number sounds just like what it saystwenty-five hundredths - - > .25
the numbers would be after the decimal since it is "hundredths"Please help me I will give brainliest. You need to use a^2+ b^2=c^2 format
Answer:
x = 9
Step-by-step explanation:
1) a²+12²=15²
2) a²+144=225
3) a²=81
4)[tex]\sqrt{81\\}[/tex]=9
In circle B with the measure of minor arc AC= 84°, find m
Answer:
m<ADC = 42°
Step-by-step explanation:
Based on the inscribed angle theorem, the inscribed angle, m<ADC is ½ the measure of minor arc AC.
If minor arc is given as 84°, therefore:
m<ADC = ½(84)
m<ADC = 42°
Diego has 200 students in his grade which is 2 times as many as Lin. Lin’s grade has x students. Write this equation.
ILL GIVE BRAINLEIST FAST PLZ 15 POINTS
Answer:
200 ÷ 2 = x
Step-by-step explanation:
Diego has 2 times as many a Lin. That means to find Lin's student number, we would have to split 200 in half.
Hope this helps!
A store is having a sale all items are marked 30% off
Exit Ticket: Show all your work
-4x - 6 = -14
what does x equal ? show yur work
Answer:
-4x - 6 = -14
+ 6. + 6
-4x = -8
——————
-4. -4
—————
x = 2 :) copy it down like that :)
Step-by-step explanation:
HELP WILL GIVE BRANLIEST AND EXTRA POINTS!
Answer:
The answer is D
Step-by-step explanation:
You just use this equation to find it
A=2(wl+hl+hw)
Can u help maybe .....
Answer: A reflection of C (8,-4) would be (8,4).
Step-by-step explanation:
This is because it is crossing as the same over the x-axis. The reflection of C would be the same, just over the x axis, meaning the -4 would become 4. If it were over the y-axis, it would be (-8,-4). Hope this helps.
A two-sample tt-test for a difference in means will be conducted to investigate whether the average amount of money spent per customer at Department Store M is different from that at Department Store V. From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40. From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35. Assuming a nuk hypothesis of no difference in population means, which of the following is the test statistic for the appropriate test to investigate whether there is a difference in population means Department Store M minus Department Store V?
A. t= √300-290 /35^2/40 + 40^2/35
B. t = 300-290 / √40^2 +35^2 / 35+40
C. t= 300-290 / √40+35 / 35+40
D. t= 300-290 / √40^2 /35 +35^2/ 40
E. t= 300-290 /√40 /35+ 35/40
a. A
b. B
c. C
d. D
e. E
Answer: D
Step-by-step explanation:
The test statistic is t = 1.14.
What is Central Limit Theorem?The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
here, we have,
Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40.
This means that , μ_m = 6.761
From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35.
This means that , μ_v = 5.534
Assuming a null hypothesis of no difference in population means
At the null hypothesis, we test that there is no difference, that is, the subtraction of the means is 0. So
H₀ = 0
At the alternate hypothesis, we test if there is difference, that is, the subtraction of the means is different of 0. So
H₁ ≠ 0
The test statistic is:
t = X - μ / s
In which X is the sample mean, is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis:
This means that μ= 0
From the samples:
X = 10
s = 8.737
The test statistic is t = 1.14.
To learn more on Central Limit Theorem:
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Complete question:
A two-sample t-test for a difference in means will be conducted to investigate whether the average amount of money spent per customer at Department Store M is different from that at Department Store V. From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40. From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35. Assuming a null hypothesis of no difference in population means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means?
Please please help me it really late we’re I am so and I Need to bring my grade up please
Answer
here :)
Step-by-step explanation:
for 1) the answers are...
x y
-6 -10
3 -1
-7 -11
0 -4
-3 -7
for number 2 the answers are...
x y
6 -2
1 -7
-8 -16
-7 -15
2 -6
for number 5 the answers are...
x y
1 -6
2 -5
-6 -13
6 -1
-9 -16
for number 6 the answers are...
x y
8 64
7 56
6 48
9 72
-8 -64
for number 9 the answers are...
x y
2 -3
-9 -14
8 3
-5 -10
9 4
for number 10 the answers are...
x y
5 -15
-9 27
7 -21
0 0
-3 9
Hailey, the owner of a supermarket, ordered four crates of apples from a farm. Three of the crates weigh 12 lb each, and the fourth one weighs 16 lb. What is the total cost of the order if one pound of apples cost $2.00?
Answer:
$104
Step-by-step explanation:
12*3=36
36*2.00=72.00
16*2.00=32.00
72.00+32.00=104.00
If a right circular cone is intersected by a plane only at its vertex, as in the picture below, what shape is produced?
Answer:
A right circular cone can be intersected by some plane to produce circle, ellipse, hyperbola depending upon where the plane is crossing the cone.
But if the plane crosses at the vertex. Just one point is crossed.
Answer:
a point hope this helps
what is the value of X???
Answer:
x=5
Step-by-step explanation:
The angles of a trangle have to add up to 180 degrees. With that information, we can create an equation:
27+98+(10x+5)=180
125+10x+5=180
130+10x=180
-130 -130
______________
10x=50
/10 /10
x=5
Morning!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Answer all 3 steps please. Thanks!
Answer:
C. Sphere
Volume:
V = 4/3πr³ = 4/3*9³π = 972π cm³Surface area:
A = 4πr² = 4*9²π = 324π cm²B. Cylinder
Volume:
V = πr²h = 3²*9π = 81π in³Surface area:
A=2πrh + 2πr² = 2π(3*9+3²) = 2π(36) = 72π in²A. Right Cone
Volume:
V = 1/3πr²h = 1/3π*5²*21 = 175π cm³Surface area:
A=πr(r+√(h²+r²)) = 5π(5 + √(21²+5²)) = 5(26.58)π ≈ 133π cm²From the figure, your friend concludes that m<BAD > m<BCD. How would you correct your friend's mistake?
Answer:
BC > AD
Step-by-step explanation:
The opposite side to BC is greater, therefore making m<BCD > m<BAD. Since the legs are congruent, this is the only difference that need-be mentioned.
As the opposite angle of a larger side of a triangle is larger hence
m∠BAD > ∠mBCD.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
From the figure itself, ΔABD and ΔBCD share a common side BD.
Given, Side AB is congruent to side CD and Side AD is greater than side BC.
We know opposite angle of a larger side of the triangle is larger.
Therefore, m∠BAD > ∠mBCD.
learn more about congruency here :
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Choose the equation that you can use to solve
for x:
3-6 = -3
X - 1 = X - 1
x2 - x = 6
-y-y=-24
Step-by-step explanation:
step 1. #1 has no x
step 2. #2 has infinite solutions
step 3. #4 has y but no x
step 4. x^2 - x = 6 can be solved for x.
Help please all you have to do is use fractions strips to find each sum and simplify if possible
Step-by-step explanation:
i hope this can help you.