Answer:
the correct answer is
C.
StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction
The function h is defined by h (x) = 3x2 + 7.
Find h(5x).
h (5x) = ?
Answer:
h(5x) = 75x² + 7
Step-by-step explanation:
h(x) = 3x² + 7
h(5x) = 3(5x)² + 7
h(5x) = 3(25x²) + 7
h(5x) = 75x² + 7
[tex]h(5x) = 75x^2 + 7[/tex]
To find h(5x), you simply need to substitute 5x in place of x in the function [tex]h(x) = 3x^2 + 7[/tex] and then simplify the expression.
[tex]h(x) = 3x^2 + 7[/tex]
Now, replace x with [tex]5x: h(5x) = 3(5x)^2 + 7[/tex]
Simplify: [tex]h(5x) = 3(25x^2) + 7[/tex]
Now, calculate [tex]3 * 25: h(5x) = 75x^2 + 7[/tex]
So, [tex]h(5x) = 75x^2 + 7[/tex]
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E)
The parallelogram WXYZ belwo is a rhombus. Find the measure of
angles 1, 2, 3, 4 and 5 given that angle WZY is 60°
w
2
3
1
4
Answer:
60
Answer:
1. 60°
2. 60°
3. 30°
4. 30°
5. 30°
Step-by-step explanation:
to find angleXYZ suntract 180 from 60
angle ZWX=120°
Angle WXY=60°
The diagnals divide the inteesections in half
The doll was considered a "feminine" toy. Do these data provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys?
Answer:
yes it does because men comes before women
The Jenkins family's monthly budget is
shown in the circle graph. The family has a
monthly income of $4,800. How much
money do they spend on transportation
each month?
Emergency fund
5%
Transportation
5%
Housing
30%
Medical
22%
Food
15%
Clothing
6%
Entertainment
7%
Savings
10%
Answer:
$240
Step-by-step explanation:
They spend 5% of their monthly income on transportation, so you want to work out 5% of 4800.
An easy trick with 5% is to divide by 10 (drop the ending 0) and then divide by 2. This would be 4800/10/2, or 480/2, which gives 240.
**This content involves using percentages which you may wish to revise.
Please help I’ll give brainliest
Answer:
2 is the base
Step-by-step explanation:
2^3
2 is the base and 3 is the exponent
helpp
Plzzz
It’s
A
Question-
Steven earns extra money babysitting. He charges $29.00 for 4 hours and $50.75 for 7
hours.
Enter an equation to represent the relationship. Let x represent the number of hours
Steven babysits and y represent the amount he charges.
$50.00÷7hours=×$
$50.00÷7hours= 7.25
7.25 he charges per hour
how many ways can a person toss a coin 14 times so that tge number of tails is between 7 and 12 inclusive
Answer:
8 tails I think so If the answer is correct plz mark me the brainliest
give your answer in detail plzz
Answer:
60% did not germinate.
Step-by-step explanation:
100% = 5
how many percent are 2 of of these 5 ?
2 = 2/5 × 5 = 2/5 × 100% = 40%
all the other seeds are then the rest of 100%.
100% - 40% = 60%
=>
60% of the seeds did not germinate.
but 40% did.
What is the surface area of a cube that measures 4 inches on each side?
____ square inches
Answer:
96 Square inches
Step-by-step explanation:
because the formula of the surface of the cube is l x l x 6 so 4 x 4 x 6
excuse me for my bad English but I am italian
If Greg is hosting a BBQ and he needs 50 corn on the cobs. A package of 5 costs $3.25. How much money does he need to get the 50 corn on the cobs?
Answer: $32.5
Step-by-step explanation:
Given
Greg needs 50 corns on the cobs
A package of 5 costs $3.25
For 50 corns, he needed 10 package
So, cost of 10 packages is
[tex]\Rightarrow 10\times 3.25\\\Rightarrow \$32.5[/tex]
During a nature walk, Mary identified
24 species of animals and plants.
Mary said
1/5
of the species she identified were
animals. Can this be correct? Explain.
Answer:
No, it cannot be correct.
Step-by-step explanation:
1/5 of 24 is 4.8.
This would mean that Mary would have identified 4.8 animals.
This is logically incorrect, because the number of animals has to be a full number. There cannot be any decimals, or parts of animals.
So, this cannot be correct.
Solve the inequality: 3x - 3 < 9
Answer:
[tex]x<4[/tex]
Step-by-step explanation:
Given:
[tex]3x-3<9[/tex]
Add 3 to both sides
[tex]3x<12[/tex]
Divide both sides by 3 to get x alone
[tex]x<4[/tex]
Hope this is helpful
A duck can fly 2400 m in 10 minutes with the wind. Against the wind, it can fly only 2/3 of this distance in 10 minutes. What is the rate of the wind?
Answer:
The rate (or speed) of the wind is 40 meters per minute.
Step-by-step explanation:
Let's define:
S = speed (or rate) of the duck alone
S' = speed (or rate) of the wind.
When the duck travels with the wind, its speed is:
(S + S')
While when the duck travels against the wind, its speed is:
(S - S')
Also, remember the relation:
Distance = Speed*Time
ok, we know that the duck can travel a distance of 2400 m in 10 minutes with the wind, then:
2400m = (S + S')*10 min
And against the wind, it can travel 2/3 of that distance, then we can write:
(2/3)*2400m = (S - S')*10 min
Then we have a system of 2 equations:
2400m = (S + S')*10 min
(2/3)*2400m = (S - S')*10 min
We want to find the speed of the wind, then we want to find the value of S'.
To solve this, we first need to isolate S in one of the equations.
Let's isolate S in the first one:
2400m = (S + S')*10 min
2400m/10min = (S + S')
240 m/min = S + S'
240 m/min - S' = S
Now we can replace this in the other equation:
(2/3)*2400m = (S - S')*10 min
(2/3)*2400m = ( 240 m/min - S' - S')*10 min
Now let's solve this for S'
(2/3)*2400m/10min = 240 m/min - 2*S'
(2/3)*240 m/min = 240 m/min - 2*S'
2*S' = 240 m/min - (2/3)*240 m/min
2*S' = (1/3)*240 m/min
2*S' = 80 m/min
S' = (80 m/min)/2
S' = 40 m/min
The rate (or speed) of the wind is 40 meters per minute.
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
Answer:
x = -5; y = 4, z = 1
Step-by-step explanation:
Given the row echelon form as:
[tex]\left[\begin{array}{cccc}1&0&\ \ 4|&-1\\0&1&-1|&3\\0&0&\ \ 1|&1\end{array}\right][/tex]
This matrix can be represented as:
[tex]\left[\begin{array}{ccc}1&0&4\\0&1&-1\\0&0&1\end{array}\right]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right] \\\\Performing\ matrix\ multiplication\ gives:\\\\\left[\begin{array}{c}x+4z\\y-z\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right][/tex]
Therefore:
z = 1
y - z = 3;
y = 3 + z = 3 + 1 = 4.
Hence, y = 4
x + 4z = - 1;
x = -1 - 4z = -1 - 4(1) = -5
x = -5
a little bit of help here??
Answer:
balanced
Step-by-step explanation:
The upward force is 75+ 160 =235
The downward force is 235
The force is balanced since the upward force equals the downward force
Neil is buying steak for a cookout on Saturday. Steak is on sale for $9.62 per pound. If he buys 7.5 pounds of steak, how much money does he spend?
Answer:
$72.15
Step-by-step explanation:
x= pounds of steak
$[tex]9.62x[/tex] = money spent on steaks
If Neil buys 7.5 pounds of steak then x =7.5
$9.62(7.5) = $72.15
Answer:
$72.15
Step-by-step explanation:
1 pound = $9.62
7.5 pounds = $9.62 × 7.5
= $72.15
if the radius is 91cm what would be the diameter and circumference?
Answer:
C=3.14*91
D=91*2
C=285.74
D=182
Hope This Helps!!!
Find the circumference of the circle. Round your answer to the nearest
hundredth.
Answer:
[tex]circumference = 25.13 \ cm[/tex]
Step-by-step explanation:
[tex]circumference = 2 \pi r = 2 \pi 4 = 8 \pi =25.13 \ cm[/tex]
Which is the Value if this expression when m = 3 and n = -5
Vance used the associative property to find the equivalent expression of (4.5 m + StartFraction 7 Over 8 EndFraction) minus 9. His work is shown below.
(4.5 m + StartFraction 7 Over 8 EndFraction) minus 9
Did Vance apply the associative property correctly? Why or why not?
Yes, the terms with variables should be written first.
Yes, the terms can be regrouped and still be equivalent.
No, the order of the terms should have been changed.
No, the addition symbol was dropped in the second expression.
Answer:
C
Step-by-step explanation:
Answer:
C: Yes, the terms can be regrouped and still be equivalent.
Step-by-step explanation:
Most terms can be regrouped and still be equivalent.
Statement ∠T and ∠S are complementary ∠S and ∠U are complementary m∠T+m∠S=90 m∠S+m∠U=90 m∠T+m∠S=m∠S+m∠U m∠U=m∠T ∠U≅∠T
Answer:
See Explanation
Step-by-step explanation:
According to the Question,
Given That, ∠T and ∠S are complementary & ∠S and ∠U are complementaryThus, m∠T + m∠S = 90 ------ Equation 1
& m∠S + m∠U = 90 ------- Equation 2
Now, Subtract Equation 2 From Equation 1, we getm∠T - m∠U = 0
Thus, m∠T = m∠U
The measure of angle T is equal to angle U.(∠U≅∠T).
Please solve with explanation.
Answer:
Area = 160 cm²
Perimeter = 55.31 cm
Step-by-step explanation:
Applying,
Area of the figure = area of the rectangle- area of the triangle
A = lw+bh/2............... Equation 1
From the question,
Given: l = 16 cm, w = 12 cm, h = 8cm, b = 8 cm
Substitute these values into equation 1
A = (16×12)-(8×8/2)
A = 192-32
A = 160 cm²
Perimeter P = /BC/+/CD/+/DE/+/EF/+/FG/+/GA/
Applying pythagoras theorem to get /FG/
FG² = GE²+EF²
FG² = 8²+8²
FG² = 64+64
FG² = 128
FG = √128
FG = 11.31 cm
Therefore,
P = 16+12+4+8+11.31+4
P = 55.31 cm
f(x) = 4x2 – 10x + 2
Find f(-7)
Answer:
f(-7) = 268
Step-by-step explanation:
f(x) = 4x^2 – 10x + 2
Let x = -7
f(-7) = 4(-7)^2 – 10(-7) + 2
Exponents first
f(-7) = 4(49) – 10(-7) + 2
Multiply
f(-7) = 196 + 70 + 2
f(-7) = 268
What is the area of the shaded sector?
The measure of central angle XYZ is 1.257 radians.
O 101 units
O 207 units
O 40 units
O 80 units
N
8
X
The area of the sector of the given circle is: 40 units²
What is circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The set of all points on a plane that are a fixed distance from a center,
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.
The circle is the shape with the largest area for a given length of perimeter.
Given the following:
r = 8
θ = 1.25 radians
Area of sector = (1/2) × r²θ = (1/2) × (8²)(1.25)
Hence, the Area of sector = 40 units²
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find the volume of this cone. round to the nearest tenth. l=10 r-6
Answer:
376.8
Step-by-step explanation:
Formula Volume Cone = πr² * h/3
Volume = 3.14 * 36 * 3 1/3
Volume ≈ 376.8
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: 301.6
-------------------
answer above isn't right this is, trust me.
As an enrichment treat, your school has been given 63 tickets to go to a local theme park for FREE! You need to work out who is getting the tickets. The Principal decides that each of the eight classes in your school will get the same number of tickets. How many tickets will each class get and how many will be left over?
Tickets per class answer:
Remaining tickets answer:
please explain
Which graph shows a dilation?
Answer:
A
Step-by-step explanation:
Dialation means to get smaller but it has to stay the same shape and measurements tho.
Find the volume of the solid. Round your answer to the nearest hundredth.
Answer: 27.6
Step-by-step explanation:
tan 36 = 1/x
x =1/ tan 36 x = 1.38 which is your apothem
area of pentagon = 5x2x1.38/2 = 6.9
now do 6.9 x 4 = 27.6
The volume of the solid is 27.52 cubic yards
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given figure is a pentagonal prism
The base length of prism is 2yd
The height of prism is 4 yd
Volume of pentagonal prism V = 1/4 √(5(5+2√5))a²h
a is the base length and h is height
V = 1/4 √(5(5+2√5))4×4
V=27.52
Hence, the volume of the solid is 27.52 cubic yards
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(a+b)(a-b)=? Đây là hằng đẳng thức nào?
Answer:
không
Step-by-step explanation:
Answer:
(a + b)(a - b) = a² - b²
Step-by-step explanation:
(a + b)(a - b) = a (a - b ) + b (a - b )
= a² - ab + ba - b² [ ab = ba ]
= a² - ab + ab - b² [ ab - ab = 0 ]
= a² - b²
Find the equation of a line that is parallel to y = x + 1 and passes through the point (3,-4).
Give your answer in the form y = mx + b.
Given:
The equation of a line is:
[tex]y=x+1[/tex]
A line is parallel to the given line and passes through the point (3,-4).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept of the line.
We have,
[tex]y=x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=1[/tex]
Slope of the given line is 1.
We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.
The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-4)=1(x-3)[/tex]
[tex]y+4=x-3[/tex]
Subtracting 4 from both sides, we get
[tex]y=x-3-4[/tex]
[tex]y=x-7[/tex]
Therefore, the equation of the required line is [tex]y=x-7[/tex].
