Answer:
f(-2) = -8
Step-by-step explanation:
Plug in x=-2 into the function:
f(x) = -x² - 3x - 10
f(-2) = -(-2)² - 3(-2) - 10
f(-2) = -4 - (-6) - 10
f(-2) = -4 + 6 - 10
f(-2) = 2 - 10
f(-2) = -8
Factorize this fully 20x² +500x+3000
Answer:
20(x+15)(x+10)
Step-by-step explanation:
Hi there!
As your question states, we need to fully factor the polynomial: 20x²+500x+3000
These are pretty big numbers; let's pull out the GCF, as that will make it easier to factor
the GCF is 20
so factoring 20 out of the polynomial will get:
20(x²+25x+150)
As you can see, the polynomial inside the parenthesis is a lot easier to factor than the original with really big numbers.
Now use FOIL to factor x²+25x+150 into 2 binomials
25 is the sum of the last terms
150 is the product of the last terms
think: which two numbers add up to 25 but multiply to get 150?
those two numbers are 15 and 10
x²+25x+150 factored is (x+15)(x+10)
but remember we have the 20 in front of x²+25x+150 (or now, (x+15)(x+10))
therefore the fully factored binomial is 20(x+15)(x+10)
Hope this helps! :)
what is the area of the object above
Answer:
62 sq cm
Step-by-step explanation:
if you find the area of the entire shape (12x6) you can then subtract out the cut-out portion (5x2)
72 - 10 = 62
write a function rule for the statement. The output is five times the input.
Answer:
y=5x
Step-by-step explanation:
If the input is x, then the out put is 5x. So y=5x
Please answer the question correctly with factual information for brainliest.
(10, 19), (-13, 9) find distance
Answer:
1,043 km
Step-by-step explanation:
hi hope you have a good dayy
Answer:
Distance between points (10, 19) and (-13, 9) is 25.0799
Step-by-step explanation:
Input Data :
Point 1 (xA, yA) = (10, 19)
Point 2 (xB, yB) = (-13, 9)
Formula : Distance between two points = √(xB − xA)^2 + (yB−yA)^2
Solution :
Distance between two points = √(−13−10)^2+(9−19)^2=
√(−23)^2+(−10)^2
= √529+100
= √629
= 25.0799
hope this helps and is right. p.s i really need brainliest :)
What are the characteristics of the graph of the inequality x ≤ -8?
multiple choice.
It will use an open circle.
The ray will move to the right.
It will use a closed circle.
The ray will move to the left.
2 Answers:
Choice C) It will use a closed circle
Choice D) The ray will move to the left
=========================================================
Explanation:
The inequality [tex]x \le -8[/tex] means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was [tex]x < -8[/tex] to exclude the endpoint -8.
The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.
In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.
How do we find the perimeter of a shape 20mm 10mm 20mm 60mm 20mm
Answer:
130mm
Step-by-step explanation:
I'm pretty sure you mean each of the sides is this length... so I'll go off of that. 20+10+20+60+20 is the addition for this problem.
20+10+20+60+20=130 is the answer.
what does • in math mean?
multiplication
hope this helped <3
A snowplow removes three fourths of the snow each time that it goes down a road. If a road starts with 24
inches of snow on it, determine how many times the road would need to be plowed in order for there to be less
than 1/2 inch of snow left on the road.
After 94/3 times, the snow left on the road will be less than 1/2 inch if the snowplow removes three-fourths of the snow each time.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Let's suppose the after x times the snow left on the road is less than 1/2 inches
Each time, the snowplow removes 3/4 of the snow.
Then according to the problem:
24 - 3x/4 = 1/2
3x/4 = 24 - 1/2
3x/4 = 47/2
3x/2 = 47
x = 47(2)/3 = 94/3 times
Thus, after 94/3 times, the snow left on the road will be less than 1/2 inch if the snowplow removes three-fourths of the snow each time.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
What type of angles are these (one question)
Answer:
Linear pair.
Step-by-step explanation:
HELPPPP THXX PLAAAAASSSSSSSS
Answer:
43
Step-by-step explanation:
interior angles add up to 180
What number is the best prediction! Please help :(
Answer:
28
Step-by-step explanation:
A parallelogram has an area of 416 square meters and a base measuring 16 meters,
What is the height of the parallelogram?
The height is ____ m.
Pls help I need this done today!!!
FIRST PERSON TO ANSWER GETS BRAINLYEST WHATEVER ITS CALLED
Answer:
26 meters
Step-by-step explanation:
a = bh
416 = 16h
Divide both sides by 16
h = 26
26 meters
Find the value of x
Answer:
Hello! answer: x = 4
Step-by-step explanation:
Because this is a 180 degree angle it will add up to 180 so 8 × 4 = 32 and 32 + 120 = 152 and 7 × 4 = 28 and 28 + 152 = 180 so 4 is x HOPE THAT HELPS!!
180 degree line-
180 = (8x + 120)
-120
60 = 8x
/8
7.5
x = 7.5
7(7.5) = 52.5
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
Answer:
A
Step-by-step explanation:
Find the measure of angle x, if possible. Round to the nearest tenth. (If not possible, enter IMPOSSIBLE.)
A UW Madison professor is interested in learning about the variance of grades for university students. The professor gathers the sample variance for a random sample of 50 students. From past experience, the professor knows that the population of students is normally distributed. The sample variance that is collected is equal to 80. The professor would like to infer at the 1% significance level that the population variance is less than 100.
a. State the appropriate null and alternative hypothesis.
b. What is the correct test statistic?
c. What is the conclusion of the test?
d. What would be the effect if the professor increased the sample size?
Answer:
A) H0 : μ = 100
H1 : μ < 100
B) 39.2
C) We fail to reject null hypothesis
D) If the professor increases the sample size the value of the test statistic will increase .
Step-by-step explanation:
sample variance ( s ) = 80
sample size = 50
At ∝ = 0.01 population variance ( σ ) < 100
a) Hypothesis
H0 : μ = 100 ( Null hypothesis )
H1 : μ < 100 ( Alternate hypothesis )
b) Determine The correct test statistic
x^2 = ( n-1 ) * s^2/σ^2
= ( 49 ) * 80^2 / 100^2
= 39.2
C) Determine the conclusion of the test
The P-value = 0.1596 ( calculated )
The conclusion of the test is that we fail to reject null hypothesis given that
P-value ( 0.1596 ) > ∝ ( 0.01 )
D) If the professor increases the sample size the value of the test statistic will increase .
Answer choices)
A. (2/3x, 2/3y)
B. (3/2x, 3/2y)
C. (1/2x, 1/2y)
D. (2x, 2y)
Please help me :((
9514 1404 393
Answer:
B. (3/2x, 3/2y)
Step-by-step explanation:
It is perhaps easiest to see that B' is 3 grid squares from the origin while B is 2 grid squares from the origin. The scale factor is the ratio of these distances:
3/2
Dilation about the origin multiplies each coordinate value by the scale factor:
(x, y) ⇒ (3/2x, 3/2y)
Can someone help me with this worksheet? I'm trying to check my daughter's work and I'm not sure how to do this. Showing the work would help me see where and if shes wrong.
Answer:
Step-by-step explanation:
scam . smď
2-1 whats the answer
Answer:
2-1=1hope it helps you have a great day keep smiling be happy stay safeAnswer:
2-1 is 1
Step-by-step explanation:
hope that it is helpful yo you
9 (t + 19) = 7t + 17
What value of t makes the equation true?
Answer:
9t + 171 = 7t + 17
9t - 7t =17 - 171
2t/2 = -154/2
t = -77
please help me with this question
Answer:
I believe it is 20
Step-by-step explanation:
NO is 10 and NO is equal the bottom of the triangles. There are 2 bottoms of triangles in JK 10x2 would be 20.
what is the value of x over 20 = 5 over 8
Answer:
x = 12.5
Step-by-step explanation:
What is the second degree polynomial equation
Answer:
Two Equations are given below:
Help me please!!!!!!
CHECKING YOUR UNDERSTANDING
Choose the letter of the best answer. Write the chosen letter on a separate sheet of
paper
1. A dinner plate has a diameter of 10.2 cm. What is the area of the dinner plate?
A. 81.67 cm
C. 93.84 cm
B. 85.12 cm
D. 100.02 cm
2. A dog is tied to a wooden stake in a yard. His leash is 3 m long, and he runs around
in circles pulling the leash as far as it can go. How much area does the dog have
to run around ?
A. 26.28 m2
C. 29.66 m2
B. 28.26 m2
D. 32.28 m²
3. A storm is expected to hit 7 mi in every direction from a small town of Malabon.
What is the area that the storm will affect?
A. 116.68 mi
C. 150.67 mi
B. 124.83 mi
D. 153.86 mi
4. Every December, an amusement park is constructed in Malabon Robinsons Town
mall. A carousel is the most favorite ride of the kids there. The diameter of the
carousel is 20.5 m. What is the area of the carousel?
A. 329.90 m²
C. 392.90 m2
B. 328.90 m2
D. 391.90 m2
5. A lawn sprinkler sprays water 4.5 ft in every direction as it rotates. What is the area
of the sprinkled lawn?
A. 56.885 ft
C. 63.585 ft
B. 60.855 ft
D. 65.385 ft
Answer:
1) 81.67 cm² (Option A)
2) 28.26 m² (Option B)
3) 153.86 mi.² (Option D)
4) 329.90 m² (Option A)
5) 63.585 ft.² (Option C)
Step-by-step explanation:
GENERAL FORMULAES TO BE USED IN THIS QUESTION :-
Diameter of a circle with radius 'r' = 2r
Area of a circle with radius 'r' = πr²
SOLUTION :-
1) Diameter of the dinner plate = 10.2 cm
Radius of the dinner plate = 10.2/2 = 5.1 cm
⇒ Area of the circle = π(5.1)² = 26.01π cm² ≈ 81.67 cm²
2) Length of his leash = 3m
⇒ Area the dog has to run around = π(3)² = 9π m² = 28.26 m²
3) Radius of the circular range of storm = 7 mi.
⇒ Area of the circular range of storm = π(7)² = 49π mi.² = 153.86 mi.²
4) Diameter of carousel = 20.5 m
Radius of carousel = 20.5/2 = 10.25 m
⇒ Area of the carousel = π(10.25)² = 105.0625π m² ≈ 329.90 m²
5) Radius of the range of sprinkler = 4.5 ft.
⇒ Area of the range of sprinkler = π(4.5)² = 20.25π ft.² = 63.585 ft.²
Function Composition:
Let the functions f(x), g(x) and h(x), determine:
Answer:
a)
f · g(3) = f(g(3)) = f(√(3*3 - 6)) = f(√3) = (√3)² + 7 = 3 + 7 = 10b)
g · f(2) = g(f(2)) = g(2² + 7) = g(11) = √(3*11 - 7) = √26c)
h · f(√5) = h(f(√5)) = h((√5)² + 7) = h(12) = (-12 - 5)/2 = -17/2 = -8.5d)
g · (10/3) = g(g(10/3)) = g(√(3*10/3 - 6) = g(√4)= g(2) = √(3*2 - 4) = √2Solve the equation. 3x + 6 = 24
Ο Α. 2
OB. 4
Ос. 6
O D. 8
Please help ASAP connexus
Answer:
option no.C 6
Step-by-step explanation:
3x+6=24
3x=24–6
3x=18
x=18/3
x=6
A right triangle has legs with lenghts of 7 units and 12 units. What is the area of the triangle?
Answer:
area of triangle =1/2 x b x h
Step-by-step explanation:
=1/2 x 7 x 12
= 1/2 x 84
= 42 units
A company has machinery calibrated for a certain widget to manufacture the product so that all of the products will average out to a mean weight of 7 grams and a standard deviation of 2 grams. What would you expect as a sampling distribution if you were to take repeated samples of 100 widgets?
Answer:
By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean weight of 7 grams and a standard deviation of 2 grams.
This means that [tex]\mu = 7, \sigma = 2[/tex]
Sample of 100:
This means that [tex]n = 100, s = \frac{2}{\sqrt{100}} = 0.2[/tex]
What would you expect as a sampling distribution if you were to take repeated samples of 100 widgets?
By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.