Answer:
k = -9
Step-by-step explanation:
f(x) = 2x²+kx-20
From remainder theorem,
x = 10 and f(10) = 90
f(10) = 90
Subsitute the value of x into the expression above.
f(10) = 2(10²)+10k-20 = 90
200+10k-20 = 90
Solve for k by collecting like terms
10 k = 90+20-200
10k = 110-200
10k = -90
k = -90/10
k = -9.
Hence the value of the constant is -9
Suppose the average driving speed on family trip is 48 mi/h. Which function rule models the distance traveled d(t) as a function of time t spent traveling. A. d(t) = t + 48 B. d(t) = 48 - t C. d(t) = 48t D. d(t) = t/48
A surveyor leaves her base camp and drives 43km on a bearing of 032°.She then drives 28km on a bearing of 154°.How far is she then from her base camp and what is her bearing from it
Answer:
36.84km ; 252.13°
Step-by-step explanation:
Using the cosine rule :
a² = b² + c² - 2bcCosA
a² = 28² + 43² - (2*28*43)*Cos58
a² = 2633 - 1276.0455
a² = 1356.9544
a = sqrt(1356.9544)
a = 36.8368
a = 36.84 km
For the bearing,
Obtain the angle at B using the Sine rule
a/SinA = b/SinB
36.84/sin58 = 28/sinB
36.84*SinB = 28 * Sin58
SinB = 23.745346 / 36.84
SinB = 0.6445533
B = sin^-1(0.6445533)
B = 40.13°
180 + (32 + 40.13)
180 - 72.13
= 252.13°
Can Mwamini drink 222 liters of water and 111 liter of juice within her time limit?
And what is her time limit?
Enter the number that makes the equation true?
Answer:
800
Step-by-step explanation:
happy to help
Step-by-step explanation:
You'll need to add up all the numerators and the answer you'll get is 7226. Then you'll subtract 7226 from 7826 and you'll get 600. The missing value is 600.HELP PLEASE
!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
It outlines all the data and its relations correctly and flows the best out of all of them.
Mr. Nakamura cuts 1 2 of a piece of construction paper. He uses 1 5 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?
Answer:
1/10th
Step-by-step explanation:
You multiply,
1/2 x 1/5 = 1/10
You can also picture it. Cut half a sheet of paper into 5 pieces. that means the other half would have 5 pieces too you cut it. That means there would be 10 pieces in total. He uses one of those pieces.
What is the surface area of the square pyramid?
3,456 m²
9,984 m²
1,296 m²
2,160 m²
Answer:
3,456 m²
Step-by-step explanation:
i just took the test :)
The surface area of the given Square pyramid is 3456 square meters.
What is the Surface area?The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.
Given, a square pyramid with a base side of 36m and a slant height of 30m.
From the general formula of the surface area of the square pyramid,
Surface area = area of base + 4* area of triangle
Surface area = 36*36 + 4 * 1/2*36 * 30
Surface area = 3456 m²
therefore, the surface area of the given Square pyramid is 3456 square meters.
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What is the answer to this??
How to solve the maze:
1. Start on the start space and complete the problem.
2. The answers are on the arrows but you have to choose the correct answer.
3. When the correct answer is chosen move to the next quest that the answer arrow is pointing to.
4. Complete answers as you go on until you reach the finish square!!
Please help me!! More points for solving.
Answer:
54, 32, 76, 72, 68, 29, 24,
Step-by-step explanation:
Find the area of the shaded region
AAAAAAAA HELPPPPPPPPP! how many prime numbers
are there between 150 and 170? PLEASE EXPLAIN how you did it pleaseeeeee.
Answer:
There are 4 prime numbers.
Step-by-step explanation:
The prime numbers are: 151, 157, 163, 167
You just need to know what numbers are prime numbers.
Answer:
4 prime numbers
Step-by-step explanation
A prime numbers is a natural number greater than 1 that is not a product of two smaller natural numbers. For example, 5 is a prime number because it is multiplied by 1 and itself. On the contrary, 4 is not a prime number because it is multiplied by 2. Remeber 1 is not a prime number because it has only 1 factor and prime numbers have exactly 2 factors. Therfore the prime numbers in between 150 and 170 are.... 151, 157,163, and 167.
The 4 prime numbers between 150 and 170 are:
151, 157, 163, 167
I = prt solve for( r)
Answer:
r = [tex]\frac{l}{pt}[/tex]
Step-by-step explanation:
Given
l = prt ( isolate r by dividing both sides by pt )
[tex]\frac{l}{pt}[/tex] = r
Answer both parts please
Answer:
1-21m hight and 23 lenght
2-45 hight and 11 length
Today, everything in the store is on sale. The store offers a 20% discount.
A) The regular price of a t-shirt is $18. What is the discount price?
B) Which equation represents this problem?
a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x
C) The discount price of a hat is $18. What is the regular price?
A) The regular price of a t-shirt is $18. What is the discount price?
$14.4
B) Which equation represents this problem?
a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x
The answer would be B.
C) The discount price of a hat is $18. What is the regular price?
22.5
Hope it helped!! ^^
Note: if you need me to explain i Would be happy to do so! :)
which represents the solution to the inequality -3x +5 > 14?
Answer:
x < -3
Step-by-step explanation:
Answer, please. will rank brainliest.
Answer:
2^3 or 5^5
Step-by-step explanation:
PLEASE - 10 points (5 thank you )
Answer:
hello, please listen to me. if u r giving 10 points then others are getting 5 points. so write accordingly
The volume of a number cube is 27 cm2. What is the length of each side of the cube?
[tex]{ \sf{ \blue{volume \: of \: cube = 27 {cm}^{3}}} } \\ \\ { \underline{ \sf{ \green{volume = {(side)}^{3}}}}} \\ \\ { \sf{ \blue{ side = \sqrt[3]{27}}}} \: ={ \sf{ 3 \: cm}}[/tex]
Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per hour. They drove a total of 60 miles in 5 hours. This situation can be represented with the system x+y=5 and 15x+10y=60 , where x represents the number of hours Kaylee drove her scooter and y represents the number of hours Sophia drove her scooter. Solve the system of equations by graphing. Graph both equations on the coordinate plane even if they represent the same line.
Answer:
Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.
Step-by-step explanation:
From the graph shown below, we can see that the intersection point is (2,3). When using the graphing method to solve a system of equations, the intersection point is the answer. In this case, x = 2 and y = 3.
Thus, Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.
Kaylee drove her scooter for 2 hour and Sophia drove her scooter for 3 hours.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given that Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per hour.
This can be represented with the system x+y=5 and 15x+10y=60 , where x represents the number of hours Kaylee drove her scooter and y represents the number of hours Sophia drove her scooter.
From the graph shown, we can see that the intersection point is (2,3).
When using the graphing method to solve a system of equations, the intersection point is the answer.
In this case, x = 2 and y = 3.
Thus, Kaylee drove her scooter for 2 hour and Sophia drove her scooter for 3 hours.
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sketch graphs of these three quadratic relations on the same set of axes.
a) y=x^2 + 8
b) y= x^2 - 5
c) y= x^2 - 10
An aquarium has 14 angel fish, 12 clownfish and
18 seahorses. What is the ratio of angelfish to
seahorses?
Answer:
Ratio= 7:9
Step-by-step explanation:
What is the ratio of angelfish to seahorses?
14 angel fish : 18 seahorses
14:18 = 7:9
15 less than twice the sum of 61
Answer: 38
Explanation the answer is 38
HELP ASAP!!!
Grocery wants to build a warehouse that is equidistant from its three stores L, M, and N. Which construction correctly finds the best location of the warehouse?
ONLY ANSWER WITH LOGIC REASONING AND NOT FOR POINTS please.
7. Tom weighs 168.5 pounds. His 2-year- old son, Nicholas, weighs 33.7 pounds. How many times as much as Nicholas does Tom weigh?
Answer:
Tom weighs 5 times as much as Nicholas
Step-by-step explanation:
To find how many times as much as Nicholas Tom weighs, we will divide Tom's weight by Nicholas' weight. This is done as follows:
Tom's weight = 168.5 pounds
Nicholas' weight = 33.7 pounds
Dividing both weights = 168.5 ÷ 33.7 = 5
∴ Tom weighs 5 times as much as Nicholas
Triangle ABC has sides measuring 12 cm, 20 cm, and 28 cm. Which could be the side lengths of the dilated image A’B’C
O 30 cm, 50 cm, 70cm
O 20 cm, 30 cm, 42 cm
O 24 cm, 40 cm, 46 cm
O 6 cm, 12 cm, 14 cm
Answer:
Step-by-step explanation:
12:20:28 = 3:5:7
(30 cm):(50 cm):(70 cm) = 3:5:7
5(6x - 2²) fully simplified
7(3+5) = 8 + ___
What number or expression could fill in the blank that would make this true
Answer:
_ = 48
Step-by-step explanation:
7 (3 + 5) = 8 + _
7 x 3 + 7 x 5 = 8 + _
21 + 35 = 8 + _
56 = 8 + _
_ = 56 - 8
_ = 48
Hope that helps!
Answer: x = 48
PEMDAS
7 (3 + 5) = 8 + x
7 (8) = 8 + x
56 = 8 + x
isolate x by subtracting 8
48 = x
Simplify the expression to standard form
-2.5(-3+ 4n+8)
Answer:
-12.5-10n
Step-by-step explanation:
jjjjjjjvuvubibuvuvuvibibivi
Answer:
distribute to get:
7.5 -10n -20
-10n - 12.5
Pls I need help thank you
Answer:
angle FGJ and angle KJG
hope it helps
Write ratios for sin C, cos C, and tan C
Answer:
sin c - 25/7
cos c - 7/24
tan c - 25/24
Step-by-step explanation:
what is 600 divided 2
Answer: 600 divided by 2 is ...*gets calculator* oh its 300