The value of h(a -4) is -a² + 8a - 8
What is a function?
A function can be defined as an expression or rule that explains the relationship between a dependent and an independent variable.
Given the functions;
f(x)=10-9/2x g(x)=|-3x+16| h(x)=-x^2+8To determine h(a-4), we substitute the value of x as a - 4 in the h(x) function, we have;
h(a - 4) =- (a - 4)² + 8
expand the bracket
h(a - 4) = - ( a - 4)(a - 4) + 8
h(a - 4) = - (a²- 4a - 4a + 16) + 8
collect like terms
h(a - 4) = - a² + 8a -16 + 8
h(a - 4) = -a² + 8a - 8
Thus, the value of h(a -4) is -a² + 8a - 8
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-3z - (-z -2) PLEASE HELP FASTTT
Alyssa drives 10 miles in 20 minutes. If she drove one hour in total at the same rate, how far did she go?
Answer:
30 miles
Step-by-step explanation:
1 hour = 60 min
60 divided by 20= 3
30 times 10 = 300.
Answer:
She would go 30 miles
This is the answer because 20 minutes times 3 equals 60
which means that 10 times 3 equals 30
so your answer is 30 miles
if p varies directly as the square of q, and p = 20 when q = 5, find p when q = 8
Answer:
P=32
Step-by-step explanation:
Which of the following is closest to the distance that the tip of the hand travels as it moves from
the 12 to the 3?
Answer:H
Step-by-step explanation:
The distance that the tip of the hand travels as it moves from the 12 to the 3 will be 15.7143 cm.
What is an arc?An arc is a smooth curve that joins two endpoints. The arc is mostly referred to as a part of the circle.
As it is given that the length of the hand of the clock is 10 cm, and the movement of the hand of the clock is from 12 to 3 therefore, the movement is about 90°.
Now, if we see the movement of the hand of the clock it will be along the arc of the circle, therefore, the length of the arc with a radius of 10 cm and angle of 90° can be written as,
[tex]\text{Length of the arc} = 2\pi r \times \dfrac{\theta}{360^o}[/tex]
[tex]= 2 \times \pi \times 10 \times\dfrac{90}{360}\\\\= 2 \times \pi \times 10 \times\dfrac{1}{4}\\\\= 15.7143\rm\ cm[/tex]
Hence, the distance that the tip of the hand travels as it moves from the 12 to the 3 will be 15.7143 cm.
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a small dog’s heart beats about 530,000,000 times during its lifetime, and a large dog’s heart beats about 1.4 times this amount. What is the approximate number of heartbeats in the lifetime of a large dog?
Answer:
I think the answer is 742,000,000
Step-by-step explanation:
The approximate number of heartbeats in the lifetime of a large dog is 742,000,000 times.
What is unitary method?Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
According to the question
A small dog’s heart beats about during its lifetime = 530,000,000 times
A large dog’s heart beats about 1.4 times this amount.
i.e A large dog’s heart beats about during its lifetime = 530,000,000 *1.4 times
= 742,000,000 times
Hence, the approximate number of heartbeats in the lifetime of a large dog is 742,000,000 times.
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Sergei's car was clocked in a quarter mile race at 146.67 miles per hour.
How many feet per second is this to the nearest hundredth if there are 5280 feet in one mile?
A. 29.33 feet per second
B. 35.99 feet per second
C. 215.12 feet per second
D. 733.35 feet per second
E. 860.48 feet per second
Answer:
C. 215.12 feet per second
Step-by-step explanation:
Sergei's car was clocked in a quarter mile race at 146.67 miles per hour.
How many feet per second is this to the nearest hundredth if there are 5280 feet in one mile?
From the above question
1 mile = 5280 feet
1 hour = 60 minutes
1 minutes = 60 seconds
1 hour = 60 × 60 seconds = 3600 seconds
We are to convert 146.67 miles per hour = feet per second
Hence:
146.67 miles /1 ft × 5280 feet/1 miles × 1 hr/3600 seconds
= 146.67 × 5280 feet/3600 seconds
= 774417.6 feet / 3600 seconds
= 215.116 feet per second.
Approximately = 215.12 feet per second
Option C is correct
Work out the size of an exterior and an interior angle of a regular 20-sided polygon.
Answer
Exterior,18°
Interior,162°
Step-by-step explanation:
To calculate exterior,360°÷no of sides, i.e
360°÷20=18°
Interior is gotten by 180°-exterior angle
180°-18°=162°
Answer all questions correctly for brainliest thanks :)
1. What objects in space, other than stars, make up the universe?
2. What kinds of energy, other than light, do these objects give off?
3. How do scientists answer these and other questions about objects that are so far away?
4. What is a light-year ?
5. What is an electromagnetic spectrum and how does it work ?
6. What is an H-R diagram used to measure ?
7. Do you notice any patterns in the H-R diagram ?
8. How would you describe the Sun's temperature , brightness , and color compared to other stars?
9. What colors are the hottest stars ?
10. Which are brighter : giants , supergiants , or white dwarfs ?
Answer:
1. Planets
2.mechanical
3.Tests
4.9.4605284e15 meters
Answer:
1: Moons, planets, nebulae, and star clusters
2: heat and kinetic
3: They look for the mass in the universe and try to discover what created it.
4: The distance that light travels in a year
5: It is the range of all EM Radiation and it measure the waves of energy
6: It is a tool that astronomers use to classify stars
7: There is usually a bunch of stars in one place which creates a star cluster.
8: The Sun is a small star compared to all of the other massive stars
9: Blue-White
10: Super-giants
Step-by-step explanation:
new unit i’m confused
Answer:
part a is infinite Part b is number 3
Step-by-step explanation:
Need help with the answer please and thank you
PLZ HELP ME WITH THIS, I'VE BEEN STUCK ON THIS FOR A WHILE.
You sell large and small pictures at a fair. You sell a total of 16 pictures and made a total of $350. If large pictures sell for $25 and small pictures sell for $20. How many of each did you sell?
Answer:
it is blink
Step-by-step explanation:
vgftr
Calculate the volume of this cylinder, giving your answer to 1 decimal place.
9 cm
20 cm
Answer: 0.45
Step-by-step explanation:
can someone please answer this
Answer:
its c
Step-by-step explanation:
3x 2+ 4x - 20
using a area model.
Answer:
3x2+4x-2o= 12 metros se for quadrado se não será diferente a resposta
Tyesha found that the z-statistic was 2.1 and that the critical z-values were -1.96 and 1.96. Which of the following is a valid conclusion based on these results?
One can reject the null hypothesis.
One can reject the alternate hypothesis.
One can accept the null hypothesis.
One cannot accept or reject the null hypothesis.
Answer:
Step-by-step explanation:
If the z statistic does not lie within the critical region, you cannot reject the null hypothesis but neither can you necessarily accept it.
What you can do is reject the alternate hypothesis.
The valid conclusion based on the given results is; One can reject the alternate hypothesis.
What is the Conclusion of the Hypothesis?We are told that;
z-statistic = 2.1
Now, the critical z-values were -1.96 and 1.96
Since our z-statistic does not lie within the critical values region, it means that there is not enough evidence to reject the null hypothesis at the given significance level. However, it means that we can reject the alternate hypothesis.
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hi please help i’ll give brainliest
Answer:
3
Step-by-step explanation:
3 x (2) - (3)
Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.
WILL GIVE BRAINLEST IF ANSWERED IN 1 MINUTE OR LESS!!!!!!!!
Answer:
Answer: z * 1 =
Step-by-step explanation:
So, add da numbers to get dat
Answer:
2z + 3 = 5
Step-by-step explanation:
2z + 3 = 5 Subtract 3 from both sides
2z = 2 Divide both sides by 2
z = 1
hi please help i’ll give brainliest please
Answer:
w=1
w=0
Step-by-step explanation:
We can tell 2 is greater than 1, so it either has to be 0, or 1. W cannot be 2 because otherwise the symbol would have to be less than or equal to.
Brainliest please!
Answer:
W=1 and W=0
Step-by-step explanation:
The question is asking which values of w are less than 2 and W=1 and W=0 meet that criteria.
What is the Pythagorean Theorem
Answer:
see below
Step-by-step explanation:
The Pythagorean theorem is for right triangles. It uses the two legs and the hypotenuse
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
Answer:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Step-by-step explanation:
please i rlly need help quick
Answer:
Step-by-step explanation:
100 G
1 L
4 Kg
40 ML
Answer:
100 ml's of butter 1 g of milk 4 l of potatoes and 40 kg's of sour cream
Step-by-step explanation:
pls mark me brainlyest!
3.33 pounds of turkey costs $10.50. What is the price per pound of
turkey? Round to the nearest hundredth. *
Answer:3.5
Step-by-step explanation: quick maths
Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
15
Step-by-step explanation:
As we can see, we have the total ratio as;
5 + 2 + 1 = 8
Total of NQ is 24
The ratio accorded to NO is 5
so we have the length of NO as;
5/8 * 24 = 15
!!!Please help will give the brainliest, and please do not put in a silly answer because you want some points or I will report you!!! What are the properties of a kite, trapezoid, square, rectangle, parallelogram, rhombus?
Answer:
The rhombus because is the same shape
Answer:
Well, seems this'll be a long answer... *ahem*
So, the properties of a Kite are that they have
-Two pairs of consecutive sides
-No opposite sides
-Perpendicular diagonals
-One set of equal angles
The properties of a Trapezoid are that
-It has exactly 1 pair of opposite sides parallel
-It has congruent lower base angles
-Congruent upper base angles (both of these apply only if isosceles)
-Any lower base angle is supplementary to any upper base angle (applies to all)
The properties of a Square are that it has:
-Parallel opposite sides
-Congruent opposite sides
-Congruent opposite angles
-Bisecting diagonals
-Congruent diagonals
-Perpendicular diagonals
-All sides are congruent
-Consecutive angles are supplementary
-Contains four right angles
The properties of a Parallelogram are
-Parallel opposite sides
-Congruent opposite sides
-Congruent opposite angles
-Bisecting diagonals
-Consecutive angles are supplementary
The properties of a Rectangle are
-Consecutive angles are supplementary
-Contains four right angles
-Has all the properties of a parallelogram
The properties of a Rhombus are
-Has all the properties of a parallelogram
-Four sides are equal in length
-Diagonals are perpendicular
-Diagonals bisect each pair of opposite angles
Step-by-step explanation:
Hope you have a wonderful day, and also that this helped! (Even though I know it's quite long) :D
Anyone help please god lord please
here are the answers:
#1
#2=11
#3=-2
#4=70
I need help. Find the value of each variable.
Answer:
x = 14√3
y = 7√3
Step-by-step explanation:
By applying sine rule in the given triangle,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{21}{x}[/tex]
x = [tex]\frac{42}{\sqrt{3}}[/tex]
x = 14√3
By applying cosine rule in the given triangle,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{y}{x}[/tex]
[tex]\frac{1}{2}=\frac{y}{14\sqrt{3}}[/tex]
y = 7√3
??I need help solving this.
Answer:
H=14.25 yd
Step-by-step explanation:
Pythagorean therom HELPOP
Answer:
its 12
Step-by-step explanation:
1 divided by 4 = ?
giving brain
Answer:
0,25
Step-by-step explanation:
Answer:
0.25 or 1/4
Step-by-step explanation:
find all numbers whose absolute value is 3
Answer:
3, -3
Step-by-step explanation:
3 has an absolute value of 3 because it is 3 units away from zero.
-3 has an absolute value of 3 because it is 3 units away from zero.
I hope this helps!!
Triangle Q S R is shown. Angle Q S R is a right angle. Altitude s is drawn from point S to point T on side Q R to form a right angle. Side Q S is labeled r and side W R is labeled q. The length of Q T is 10 and the length of R T is 4. What is the value of q? 4 StartRoot 5 EndRoot 2 StartRoot 14 EndRoot 20 StartRoot 5 EndRoot
*The diagram is in the attachment
Answer:
q = 2√14
Step-by-step explanation:
To determine the value of q, apply the leg rule/geometric mean theorem, which is:
Hypotenuse/leg = leg/part
Hypotenuse = 10 + 4 = 14
Leg = q
Part = 4
Plug in the values into the equation:
14/q = q/4
Cross multiply
q*q = 14*4
q² = 56
q = √56
q = √(4*14)
q = 2√14
Answer:
q = 2√14
Step-by-step explanation:
got it right on test